What is the BEST deal? 1. 60 feet of rope for $8.00 or 200 feet of rope for $30.00 2. 75 pencils for $5.75 or 100 pencils for $7.50 3. 100 thumb tacks for $3.00 or 500 thumb tacks for $16.00 4. 25,000 ball bearings for $275.00 or 60,000 ball bearings for $680.00 5. 60 apples for $43.00 or 90 apples for $63.00

Answers

Answer 1
Final answer:

To determine the best deal, divide the total cost by the total quantity for each option to find the cost per unit. Option 4, 25000 ball bearings for $275.00, offers the best deal with the lowest cost per unit.

Explanation:

The best deal can be determined by comparing the cost per unit of each item. To do this, divide the total cost by the total quantity for each option.

For option 1, the cost per foot of rope is $8.00/60 ft = $0.133/ftFor option 2, the cost per pencil is $5.75/75 pencils = $0.077/pencilFor option 3, the cost per thumb tack is $3.00/100 thumb tacks = $0.03/thumb tackFor option 4, the cost per ball bearing is $275.00/25000 ball bearings = $0.011/ball bearingFor option 5, the cost per apple is $43.00/60 apples = $0.717/apple

Based on these calculations, option 4, 25000 ball bearings for $275.00 offers the best deal with the lowest cost per unit.

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Related Questions

Teams must win at least 25 games. So far, the volleyball team has won 21. Describe the graph of an inequality showing how many more games it must win. Check all that apply.
The graph has an open circle at 4.
The graph has a closed circle at 4.
The graph has an open circle at 46.
The graph has a closed circle at 46.
The arrow points left.
The arrow points right.

Answers

Answer:its B and F

Step-by-step explanation:

The graph has a closed circle at 4. & The arrow points right.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Teams must win at least 25 games.

So far, the volleyball team has won 21.

now, we can Consider the provided inequality:

25≤21+x

i.e. 4≤x

we get,

Use an closed circle for the sign ≤

so, we get,

The graph has a closed circle at 4. & The arrow points right.

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How did we transform from the parent function? g(x) = -1/5(x - 1)² + 7

Select all that apply! I will give brainliest to the first answer




a Vertical shift up



b no changes were made to y = x²



c Horizontal shift left



d Vertical shift down



e Horizontal shift right



f Reflection across x-axis



g Vertical Stretch



h Vertical Compression

Answers

Answer:

Horizontal shift to the right

Vertical compression

Reflection across the x axis

Vertical shift up

Step-by-step explanation:

Given that the parent function was [tex]g(x)=x^2[/tex]

we notice the following transformations:

a) a horizontal shift to the right in 1 (one) unit rendering: [tex]g(x)=(x-1)^2[/tex]

b) a vertical compression by multiplying our function by a number smaller than 1 ( [tex]\frac{1}{5}[/tex] ), rendering: [tex]g(x)=\frac{1}{5} (x-1)^2[/tex]

c) a reflection across the x-axis by flipping the sign of the function and rendering: [tex]g(x)=-\frac{1}{5} (x-1)^2[/tex]

d) a vertical shift of 7 units up thus giving finally: [tex]g(x)=-\frac{1}{5} (x-1)^2+7[/tex]

Final answer:

The parent function f(x) = x² has undergone a reflection across the x-axis, a vertical compression, a horizontal shift right, and a vertical shift up to transform into g(x) = -1/5(x - 1)² + 7.

Explanation:

The student asked about the transformations that turned the parent function f(x) = x² into g(x) = -1/5(x - 1)² + 7. Examining the function g(x), we can identify several transformations:

The negative sign indicates a reflection across the x-axis, which corresponds to flipping the graph.The fraction -1/5 signifies a vertical compression by a factor of 5.The term (x - 1) within the square represents a horizontal shift to the right by 1 unit.The addition of +7 at the end of the function signifies a vertical shift up by 7 units.

Considering these observations, the correct transformations from the provided options are f, e, h, and a.

For what values of x does 25^x - 5^x2-3?

Answers

The problem doesn’t make sense :(


Given the function g(x) = x^2+ 10x + 23, determine the average rate of change of
the function over the interval -8 < X < -4.

Answers

Final answer:

The average rate of change of the function g(x) = x^2 + 10x + 23 over the interval -8 < x < -4 is -0.5.

Explanation:

To determine the average rate of change for the function g(x) = x^2 + 10x + 23 over the interval -8 < x < -4, we first plug these x-values into the function to find the corresponding y-values:

G(-8) = (-8)^2+ 10*(-8) + 23 = 9

G(-4) = (-4)^2+ 10*(-4) + 23 = 7.

The average rate of change will then be the change in y-values divided by the change in x-values, so:

Average Rate of Change = [G(-4) - G(-8)]/[-4 - (-8)] = (7 - 9)/(-4 - (-8)) = -2/4 = -0.5.

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What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8

Answers

Answer:sin(20)= LN/8

And COS(70)=LN/8

Step-by-step explanation:

The length of LN by the trigonometric relations are

a) sin ( 20 )° = LN / 8

b) cos ( 70 )° = LN / 8

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented by ΔLMN

where the measure of ∠LMN = 20°

The measure of ∠NLM = 70°

And , the triangle is right at ∠LNM = 90°

The measure of hypotenuse LM = 8 units

From the trigonometric relations

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

So , sin ( 20 )° = LN / 8

cos ( 70 )° = LN / 8

Hence , the trigonometric relations are solved

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The complete question is attached below :

What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply.

Sin(20°)=LN/8.

Cos(70°)=8/LN .

Tan(70°)=LN/MN .

Sin(20°)=8/LN .

Cos(70°)= LN/8

Raj was asked to fully simplify this polynomial and put it into standard form.
2x+y + 8x? – xy2 - 2x + 3xy2 + 6y?
Raj simplified the polynomial with a final term of 6y. What is the first term of the polynomial Raj ended up with?
6x?
Box
2xy?

Answers

Answer: 16y- 2xy

Step-by-step explanation:

Samantha was performing an experiment in which she was spinning the spinner below. She had 10 trials and got the results below: Blue-0, red-1, yellow-4, green-5. What is the EXPERIMENTAL Probability for spinning a green? *Favorable outcome/total *

Answers

The experimental probability of spinning a green is 5/10 or 0.5, which means there's a 50% chance of landing on green based on Samantha's 10 trials.

The question is about determining the experimental probability of spinning a green on a spinner used in an experiment. Experimental probability is calculated as the ratio of the number of times an event occurs to the total number of trials. In Samantha's case, she spun the spinner 10 times and landed on green 5 times. Thus, the experimental probability of spinning a green is calculated as follows:

Number of times green was spun: 5

Total number of spins (trials): 10

Experimental Probability of green: 5/10 or 0.5 (50%)

Experimental probability differs from theoretical probability as it is based on actual results from an experiment, rather than calculated from a theoretical perspective without actual trials.

The experimental probability of spinning green is 0.5 or 50%, calculated by dividing the number of green outcomes (5) by the total number of trials (10).

The student is asking about the experimental probability of spinning a green on a spinner after conducting an experiment for 10 trials. The results of the experiment were Blue-0, Red-1, Yellow-4, and Green-5. To find the experimental probability, we need to divide the number of times green occurred (favorable outcomes) by the total number of spins (total trials).

The experimental probability of spinning a green is calculated as follows:

Number of favorable outcomes (spinning green) = 5

Total number of trials = 10

Experimental probability of green = Number of favorable outcomes / Total number of trials

Experimental probability of green = 5 / 10 = 0.5 or 50%

Therefore, the experimental probability of spinning a green is 0.5 or 50%.

Help please?


What are the factors of the product represented below?

Answers

Answer:

B

Step-by-step explanation:

count how many x^2 there are because they would tell you what your answer is.

Answer: Its B.

Step-by-step explanation:

Ther are 6 x2. So it is (6x2+2x)

There are also 6 Xs so it's (6x+2)

Find the fifth term in the sequence that is defined as follows:
Please help me!!

Answers

Answer

n=5

[tex]a5 = 4 + {( - 1)}^{5} = 4 - 1 = 3[/tex]

Answer:

3

Step-by-step explanation:

[tex]a_{5}=4+(-1)^5=4-1=3[/tex]

2 x2 - 4 x + 6 = 0 is in general form. True or False?

Answers

Answer:

Step-by-step explanation:true

Answer:

True

Step-by-step explanation:

Yes, this is in standard form

IMPORTANT...................... PLS HELP I REALLY NEED HELP WITH THIS ONE!!!!

Brianna is going camping this weekend, and needs to find the amount of space inside her tent.



A triangular prism. 2 rectangular sides are 8 feet by 5 feet, and 1 side is 8 feet by 6 feet. The 2 triangular sides have a base of 6 feet and height of 4 feet.

Find the volume of the tent and complete the statements.



Find the volume of a triangular prism by using the formula .
Use the base and height to calculate the area of the base, B.
The volume of the tent is ft3.

Answers

Answer:

Find the volume of a triangular prism by using the formula

✔ V = Bh

.

Use the base and height to calculate the area of the

✔ triangle

base, B.

The volume of the tent is

✔ 96

ft3.

Step-by-step explanation:

Find the volume of a triangular prism by using the formula

Volume of a triangular prism = area of base triangle × length of the prism .

Use the base and height to calculate the area of the triangular base, B.

The volume of the tent is 96 ft3.

What is a triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges. If the sides are rectangular, then it is called the right triangular prism else it is said to be an oblique triangular prism.


Based on the given information, the tent is a right triangular prism.

The dimensions of the rectangles are:

two of the rectangles have the dimension [tex]8ft \times 5ft[/tex]

the base rectangle has the dimension [tex]8ft \times 6ft[/tex]

The dimensions of the triangles are:

base = 6ft

height = 4 ft

Volume of a triangular prism = area of base triangle × length of the prism

[tex]V=\frac{1}{2} \times b\times h \times l\\\\V=\frac{1}{2} \times 6\times 4 \times 8\\\\V=96[/tex]

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if Anthony has twice as nickels as one and one has 15 more nickels than Maria what is the value in dollars of Anthony's Nickels if Maria has six Nickels
Explain?

Answers

Answer:

Anthony has $2.10

Step-by-step explanation:

If Maria has 6 nickels and one has 15 more nickels than Maria, one has a total of 21 nickels. Since Anthony has twice the amount of nickels as One, you would multiply 21 by 2 to get a total of 42. It takes 20 nickels to make a dollar. If you divide 42 by 20 you get 2.1, which is equivaldnt to $2.10

A vertical flagpole is attached to the top edge of a building. A man stands 400 feet from the base of the building. From his viewpoint, the angle of elevation to the bottom of the flagpole is 60°, to the top is 62.5°. Determine the height of the flagpole.

Answers

Answer: The flagpole is 75.6 feet (approximately)

Step-by-step explanation: Please refer to the picture attached.

The man is at point C and the base of the building is point B, and he looks up at an angle of elevation of 60 degrees to the bottom of the flagpole. Note that the flagpole is attached to the top of the edge of the building which is point A. Also he looks up at an angle of elevation of 62.5 degrees to the top of the flagpole which is point A.

If his distance from the base of the building is 400 feet (line BC), then we would start by calculating the height of the building plus the flagpole (line FB) and then the height of the building itself (line AB) and the difference between both would be the height of the flagpole (line FA).

We shall use the trigonometric ratios as follows;

In triangle FBC,

Tan C = opposite/adjacent

Tan 62.5 = FB/400

Tan 62.5 x 400 = FB

1.9209 x 400 = FB

768.36 = FB

Also in triangle ABC,

Tan C = opposite/adjacent

Tan 60 = AB/400

Tan 60 x 400 = AB

1.732 x 400 = AB

692.8 = AB

The height of the vertical flagpole can be derived as

FA = FB - AB

FA = 768.36 - 692.8

FA = 75.56

FA ≈ 75.6

Therefore the height of the flagpole is 75.6 feet (approximately)

The height of the flagpole is required to be found with the given angles of elevation.

The height of the flagpole is 75.6 feet.

From trigonometric ratios

[tex]\tan60=\dfrac{BD}{BC}\\\Rightarrow BD=BC\tan60\\\Rightarrow BD=400\tan60[/tex]

[tex]\tan62.5=\dfrac{AB}{BC}\\\Rightarrow AB=BC\tan62.5\\\Rightarrow AB=400\tan62.5[/tex]

So,

[tex]AD=AB-BD\\\Rightarrow AD=400(\tan62.5-\tan60)\\\Rightarrow AD=75.6\ \text{feet}[/tex]

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(4x3 + 7z– 9x – 3) - (-523 + 11x – 4)

Answers

Look at the attached picture

Hope it will help u...

Answer:

4x^3 + 7z - 20x + 524.

Step-by-step explanation:

(4x3 + 7z– 9x – 3) - (-523 + 11x – 4)

4x3 + 7z– 9x – 3 - (-523 + 11x – 4)     Distribute the negative over the parentheses:

=  4x3 + 7z– 9x – 3 + 523 - 11x + 4

= 4x3 + 7z– 9x - 11x– 3 + 523 - 4

= 4x^3 + 7z - 20x + 524.

3: Please help. Circle C has its center at (9,0) and a point is on the circle at A(8,6).
Which answer verifies whether point P(10,−7) lies on the circle?

Answers

Answer:

The statement (9−8)2+(0−6)2≠(9−10)2+(0+7)2 is a true statement, so P is not on ⨀C.

Step-by-step explanation:

just did the test

Please help me, i've asked before but go no answer. Brainliest to correct answer and thanks to all answers

Answers

Answer:

The answer is B.

Step-by-step explanation:

All other answers are irrational

Which of the following is an example of an irrational number?

Question 5 options:

A)
74∕99

B)


C)
3∕4

D) square root 2

Answers

Answer:

D. square root of 2

Step-by-step explanation:

The square root of 2 is an irrational number because it cannot be written as a ratio of two integers.

Final answer:

Choice D, square root 2, is an example of an irrational number. Unlike the other options, it cannot be expressed as a fraction with an integer numerator and denominator.

Explanation:

An irrational number is a number that cannot be expressed as a simple fraction, meaning its decimal form is non-terminating and non-repeating. Among the options given, choice D, which is square root 2 (written as √2), is an example of an irrational number. Option A is 74/99, a fraction that simplifies to a rational number; option C is 3/4, also a rational number; and the option B is missing from the context provided.

To determine between which two consecutive integers an irrational number like √2 lies, we first identify the perfect squares nearest to the number we are taking the square root of. For √2, the perfect squares are 1 (√1) and 4 (√4), which correspond to the integers 1 and 2. √2 lies between these two integers because 2 is greater than 1 and less than 4, and since the square root function is increasing, √2 is more than 1 and less than 2.

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You scored a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?

Answers

Answer:

55

Step-by-step explanation:

You got 57 points on your math quiz.

To find out how many points you got on the math quiz, we need to calculate 95% of the total points the quiz was out of. The quiz was out of 60 points.

First, we convert the percentage score to a decimal by dividing by 100:

[tex]\[ 95\% = \frac{95}{100} = 0.95 \][/tex]

Next, we multiply the decimal score by the total points to find out the number of points obtained:

[tex]\[ 0.95 \times 60 = 57 \][/tex]

So, you got 57 points on your math quiz.

What is the sum of 22 m + 14 n and 9 m + 7 n? 7 m + 13 n 13 m + 7 n 21 m + 31 n 31 m + 21 n

Answers

Answer:

31m + 21n

Step-by-step explanation:

Answer:

31m + 23n which is D

Step-by-step explanation:

Latisha determined the approximate amount of time each student in her homeroom class spent outside on a sunny day and on a rainy day. The dot plots below show her results.

Sunny Day
A dot plot titled Sunny Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There are 0 dots above 35, 1 above 40, 2 above 45, 2 above 50, 3 above 55, 2 above 60, 2 above 65, 2 above 70, 1 above 75, and 0 above 80 and 90.

Cloudy Day
A dot plot titled Cloudy Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There is 1 dot above 35, 4 above 40, 5 above 45, 3 above 50, 2 above 55, and 0 above 60, 65, 70, 75, 80, and 90.

Which measures of center and variability can be used to most accurately compare the two data sets?
mean and MAD
mean and IQR
median and MAD
median and IQR

Answers

Answer:

THE ANSWER IS A. I HAD THE SAME QUESTION

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

1 plus 1??????????????

Answers

Answer:

2

Step-by-step explanation:

It would be 2. You can find this by putting 1 finger up and then another finger up then count your fingers :)

The answer shall be 2

Is this linear, exponential, or neither?

Answers

Answer:

Exponential

Step-by-step explanation:

So let’s start off by looking at how much x is growing by each time

X is growing by 8 each time

Next look at how much y is growing by

-6 to -24 is a difference of 18

-24 to -96 is a difference of 72

And lastly -96 to -384 is a difference of 288

So we can now say that it is not linear because a linear equation grows by a constant number (like adding)

To determine if it is exponential see if it is growing by a constant multiplier

24 divided by 6 is 4

96 divided by 24 is 4

384 divided by 96 is 4

It is exponentially growing by 4

what is the slope of y= -1+3x

Answers

Step-by-step explanation:

Slope of this equation is 3

Answer:

Slope = 3

Step-by-step explanation:

[tex]y = - 1 + 3x \\ y = 3x - 1 \\ equating \: it \: with \\ y = mx + b \\ \huge \red{ \boxed{slope \: (m) = 3 }}\\ [/tex]

A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres
nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A wees
chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probably that the trees
within the acres of apple trees?
25.0
37.5%
62.5%
75.4%

Answers

Answer:

Option-C=> 62.5%

Step-by-step explanation:

Given that the area where apple is grown: 25 acres

Total area of cultivation:40 acres

Percentage ={ (Area where apple is grown / Total area of cultivation) ×100

=>(25/40)×100

=>(25/4)×10

=>62.5%

∴The percentage of the trees are within the orchard area is : 62.5%

MARK AS BRAINLIEST

The theoretical probability of selecting a tree within the acres of apple trees is 62.5%.

To find the probability of selecting a tree within the acres of apple trees, we need to consider the proportion of apple trees to the total number of trees in the orchard.

The total area of the orchard is 40 acres, and the area dedicated to apple trees is 25 acres. Since the trees are equally distributed within the orchard, the proportion of apple trees to the total number of trees is:

[tex]\[ \text{Proportion of apple trees} = \frac{\text{Area of apple trees}}{\text{Total area of orchard}} \][/tex]

[tex]\[ \text{Proportion of apple trees} = \frac{25}{40} = 0.625 \][/tex]

To convert this proportion to a percentage, we multiply by 100:

[tex]\[ \text{Probability} = 0.625 \times 100\% = 62.5\% \][/tex]

Rounded to the nearest tenth of a percent, the theoretical probability of selecting a tree within the acres of apple trees is 62.5%. Therefore, the correct answer is: 62.5%

Can someone please answer this with a real answer? all I've been getting is fake answers for the points. I need this to pass!!

Some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation Y=1000(1.08)^x. Use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. Find the values of a, b, c, and d. Round to the nearest thousandth as needed.
y=1,000(1.08)x

=1,000((1.08)1/a)^bx
a=
b=
=1,000(c)^dx
c=
d=

Answers

Final answer:

To find the equivalent equation for the monthly growth of the wildflowers, we need to convert the yearly growth rate to a monthly growth rate. The monthly growth rate is the 12th root of the yearly growth rate. The equivalent equation is Y=1000((1.08)^(1/12))^mx.

Explanation:

To find an equivalent equation that represents the monthly growth of the wildflowers, we need to convert the yearly growth rate into a monthly growth rate. Since there are 12 months in a year, the monthly growth rate is the 12th root of the yearly growth rate.

Given the equation Y = 1000(1.08)^x, where x represents the number of years, the equivalent equation for the monthly growth rate is Y = 1000((1.08)^(1/12))^mx.

Here, a = 12, b = 1/12, c = 1.08, and d = m.

The value we get are :

a = 1000

b = 1.00692

c = 0

d = 0

The given equation, Y=1000(1.08)^x, represents the yearly growth of wildflowers, where:

Y is the number of wildflowers in year x.

1000 is the initial number of wildflowers (at year x=0).

1.08 represents the yearly growth factor (8% increase).

x is the year number.

To find the equivalent equation for monthly growth, we need to consider that there are 12 months in a year. This means the yearly growth factor can be further divided into monthly growth factors.

Divide the exponent by the number of months:

In the yearly equation, the exponent x represents the year number. To represent months, we need to divide x by 12 (number of months in a year).

The new equation becomes: Y = 1000 * (1.08)^(x/12).

Apply the power of a power property:

(a^b)^c = a^(b*c). In this case, a = 1.08, b = 1/12, and c = x.

The equation becomes: Y = 1000 * ((1.08)^(1/12))^x.

Simplify the equation:

Calculate (1.08)^(1/12) using a calculator. This value is approximately 1.00692 (rounded to nearest thousandth).

Substitute this value back into the equation: Y = 1000 * (1.00692)^x.

Therefore, the equivalent equation representing the monthly growth of wildflowers is:

Y = 1000 * (1.00692)^x

Values of a, b, c, and d:

a = 1000 (initial number of wildflowers)

b = 1.00692 (monthly growth factor)

c = 0 (no x term in the exponent)

d = 0 (no constant term)

Question:

Some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation Y=1000(1.08)^x. Use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. Find the values of a, b, c, and d. Round to the nearest thousandth as needed.

What are the values of v and b?
(geometry question)

Answers

Answer:

b=41

Step-by-step explanation:

180=19v-41+(180-(20v+39))+17v

v=5

180=19v-41+b+17v

180=19(5)-41+b+17(5)

b=41

State the type of trinomial, and factor: y2 + 8y + 16.
A. regular trinomial; (y + 2)(y + 8)
B. regular trinomial; (y ­– 2)(y – 8)
C. perfect square trinomial; (y + 4)2
D. perfect square trinomial; (y + 8)2

Answers

The answer to your question is the third option because both terms (y^2 and 16) can be simplified into a perfect square

Answer: Option C

We will factor 16 so that the sum of the factors is 8.

Such factors are 4 and 4.

So the factorization of the given expression is:

[tex]y^2+8y+16\\=y^2+4y+4y+16\\=y(y+4)+4(y+4)\\=(y+4)(y+4)\\=(y+4)^2[/tex]

So the given trinomial is a perfect square trinomial.

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HELP HELP HELP HELP HELP FAST PLEASE HELP

Answers

Answer:

5/2 Hope this helped

Step-by-step explanation:

Answer : 5/2 :)

Hope this helps

The circumference of a circle is 36x feet. What is the length of the radius of this circle?
O oft
O 18h
O 36 ft
O 72 ft

Answers

Answer:

18h

Step-by-step explanation:

ILLL markk brainliest i promise plsss helpp

Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.


k =
k =
k = −3
k = 3

Answers

Answer:

C. k = -3

Step-by-step explanation:

First of all please try and understand math, cheating will never get you anywhere :)

So we can deduce that the value k is -3 for the following reasons:

If k is greater than 1, it will become narrower

If k is negative, it will shift right

Therefore we can conclude that k = -3

(I might be wrong but we will see)

The function g(x) transformed to f(x) by 3 unit on right side.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have the graph

g(x) = f(k x)

Here k represent the transformation or we can say shifting.

If  k is greater than 1 then the graph will become narrower

and, if  k is negative or less than then it will shift right.

From the graph the function g(x) is shifted to f(x) by 3 units.

Thus, the value of k is -3 ( Right side shifting)

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Peter Billington Stereo, Inc. Supplies car radios to auto manufacturers and is going to open a new plant. The company is undecided between Detroit and Dallas as the site. The fixed costs in Dallas are lower due to cheaper land costs, but the variable costs in Dallas are higher because shipping distances would increase. Dallas Detroit Fixed costs $560,000 $840,000 Variable costs $28/radio $24/radio A. Based on the analysis of the volume after rounding the numbers to the nearest number, Dallas is best below and Detroit is best above _____ radios. B. Dalla's fixed costs have increased by 10%. Based on the analysis of the volume, after rounding the numbers to the nearest whole number, Dallas is best below and Detroit is best above _____ radios. Questions option: 1. 14,000 2. 153,993 3. 70,000 4. 67,200 5. 56,000 You start at (7,0). You move up 1 unit. Convert 30to radians. Leave answer as a reduced fraction in terms of .a: pi/3b: pi/6c: pi/4d:pi/2 4. Find the lateral and total surface area ofthe prism. According to Henry Mintzberg, the realized strategies of a firm: a.are a combination of deliberate and emergent strategies are decisions determined by both analysis and predicted b.environmental developments, anticipated resource constraints, and/or changes in managerial preferences c.are a combination of deliberate and differentiation strategies d.are decisions determined only by analysis Read the excerpt from a folktale. Poor Leo the Lion, worried he would never escape the hunter's net! Then, who did he see scampering through the jungle? The same mouse he had released from his trap just a few days before. When the mouse saw his friend, the lion, he quickly nibbled through the knotted net and set him free. "You rescued me," the mouse said. "Now it's my turn to set you free!" Which theme can be found in this excerpt? Which is greater .13 or .3 All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, then how long would it take the $20$ members to paint a $9000$ square foot wall, in minutes? Merrill Lynch Securities and Health Care Retirement Inc. are two large employers in downtown Toledo, Ohio. They are considering jointly offering child care for their employees. As a part of the feasibility study, they wish to estimate the mean weekly child care cost of their employees. A sample of 10 employees who use child care reveals the following amounts spent last week.$107 $92 $97 $95 $105 $101 $91 $99 $95 $104(a) Develop a 99 percent confidence interval for the population mean. Interpret the results. The volume of a triangular pyramid is 110 cm. The base of the triangle is 10 cm in the height of the triangle is 6 cm. Find the height of the pyramid. Find the gradient of the line that is perpendicular to the line 2y=3+5x Find the area of the circle. Round to the nearest tenth. why did catherine of aragon and king henry get married A companys normal selling price for its product is $30 per unit. However, due to market competition, the selling price has fallen to $25 per unit. This company's current inventory consists of 300 units purchased at $26 per unit. Replacement cost has fallen to $23 per unit. Calculate the value of this company's inventory at the lower of cost or market. Which of the following is true about reproduction in flowering plants? Children who grow up in the same home with the same parents still have very different day-to-day human relationships in different school and after-school settings. These broader situational factors are called the ________. The government is shielded from suit by the doctrine of sovereign immunity. The doctrine comes from an ancient principle of English public law: The King can do no wrong.'The rule is not intended to protect public officials from charges of wrongdoing. As a result of the principle explained in this excerpt from the text, citizens of the United States:A) cannot sue representatives or officers of the Federal Government even if they commit a crime.B) must petition their representatives in Congress to pass an act to let them sue the government.C) need to bring their case to the Supreme Court and win a ruling authorizing them to sue the government.D) can only sue the government in limited cases already approved by Congress. Use the following terms to write a short paragraph that describes what you learned from this lab: potential energy, kinetic energy, mass, velocity, collision and momentum. (underline or bold the terms in your paragraph, thank you!)please help me~due tomorrow at 12 pm A rod of mass M = 3.5 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 45 g, moving with speed v = 5.02 m/s, strikes the rod at angle = 42 from the normal at a distance D = 2/3 L, where L = 1.2 m, from the point of rotation and sticks to the rod after the collision.What is the initial angular momentum of the ball, in kilogram meters squared per second, right before the collision relative to the pivot point of the rod? Pasha Company produced 50 defective units last month at a unit manufacturing cost of $30. The defective units were discovered before leaving the plant. Pasha can sell them"as is" for $20 or can rework them at a cost of $15 and sell them at the regular price of $50. Which of the following is not relevant to the sell-or-rework decision? A.$30 manufacturing costB. $20 selling price of defective unitsC. $15 for reworkD. $50 regular selling priceE. all of these