Answer:
[tex]C=6P[/tex]
Step-by-step explanation:
Because the cost (c) depends on the pounds (p), we have to multiple the weight by 6, because it is $6 per pound.
Answer:
Step-by-step explanation:
prob c
There is a blizzard, and Matt notices that the snow is falling at a constant rate. Two hours after the beginning of the snowstorm, there is a total of 9 inches of snow. Five hours after the beginning of the snowstorm, there is a total of 15 inches of snow.
5a. How much snow falls each hour?
5b. How much snow was on the ground before the blizzard started?
5c. Write an equation that models the snowfall’s linear function.
Answer:
2 inches per hour, 5 inches, y=2x+5
Step-by-step explanation:
No, I don't think I will
Solve for u:
-10.74=u-(−11)
Answer:
-21.74
Step-by-step explanation:
-10.74 = u + 11
-10.74 - 11 = u + 11 - 11
-21.74 = u
u = -21.74
A designer of carved lawn figures needs to reduce the size of a statue by making each linear dimension 40% of the original. If a volume of N cm3 of wood was used to carve the original statue, how many cubic centimeters of wood are needed to make the smaller statue?
Answer:
N x (0.4)^3
Step-by-step explanation:
What is the answer for 10 and 11 step by step. Please
Answer:
sOoRrY bUt i cAnT rEaD
What is the area of the circle whose diameter is 16 ft?
201.1 sq ft
802.2 sq ft
50.3 sq ft
Answer:
Step-by-step explanation:
The area of a circle is
[tex]A=\pi r^2[/tex]
We are given the diameter, but need the radius. The radius is half the diameter, so the radius is 8 feet. Plugging into the formula and using 3.14 for π:
A = (3.14)(64) so
A = 200.96 sq feet which rounds to 201. I guess that's the first choice there, but not quite exact...
Final answer:
The area of the circle with a diameter of 16 ft is (Option A) 201.1 sq ft.
Explanation:
The area of a circle can be found using the formula A = πr², where A is the area and r is the radius. However, in this case, we are given the diameter instead of the radius. The diameter is twice the length of the radius, so we can calculate the radius by dividing the diameter by 2. Given that the diameter of the circle is 16 ft, the radius would be 16/2 = 8 ft.
Now, we can use the formula A = πr² to find the area. Plugging in the radius value, we get A = π(8 ft)² = π(64 ft²) ≈ 201.1 sq ft.
What is the value of log Subscript 3 Baseline 81?
2
3
4
5
Answer:
4
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{3}[/tex] 81 = n, then
81 = [tex]3^{n}[/tex]
Note that 81 = [tex]3^{4}[/tex] , thus
[tex]3^{4}[/tex] = [tex]3^{n}[/tex]
Since the bases are equal then equate the exponents
n = 4
The value of log Subscript 3 Baseline 81 (i.e Log₃ 81) obtained is 4
Data obtained from the question Log₃ 81 =? How to determine the value of Log₃ 81Let Log₃ 81 be equal to n i.e
Log₃ 81 = n
The value of n can be obtained as follow:
Log₃ 81 = n
81 = 3ⁿ
Express 81 in index form with 3 as the base
3⁴ = 3ⁿ
Cancel out 3
n = 4
From the calculation made above, we can conclude that the value of log Subscript 3 Baseline 81 (i.e Log₃ 81) is 4
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If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?
A) 0.1
B) 1/2
C) 1
D) 10
Convert the angle
θ
=
26
0
∘
θ=260
∘
theta, equals, 260, degrees to radians.
Answer:
[tex]\frac{13\pi}{9}[/tex]radian
Step-by-step explanation:
We are given that
[tex]\theta=260^{\circ}[/tex]
We have to convert angle into radian.
We know that
Radian measure=[tex]\frac{\pi}{180}\times degree\;measure[/tex]
Using the formula then we get
Radian measure=[tex]\frac{\pi}{180}\times 260[/tex]
Radian measure=[tex]\frac{13\pi}{9}[/tex]radian
Hence, 260 degree=[tex]\frac{13\pi}{9}[/tex]radian
1.) 2x−9y=14
2.) x=−6y+7
please help!!
Answer
7,0
Step-by-step explanation:
Substitute -6y+7 into problem one where the x is
distribute the 2 and subtract the 9 y and you will get
-21y+14=14
subtract 14 from both sides and it will be -21y=0 so y will be 0
substitute the 0 into equation 2 and find x=7
1. Solve by setting the linear factors equal to zero.(x+4)(x-3) = 0
a) x = 4 and x = -3
b) x = 2 and x = 1
c) x = -4 and x = 3
d) x = -2 and x = 1
Answer:
C - x = -4 and x = 3
Step-by-step explanation:
Set (x+4) = 0
x = -4
set (x-3)=0
x=3
Answer:
c) x = -4 and x = 3
Step-by-step explanation:
(x+4)(x-3)=0
x+4=0 ( You want to find the x value, so we subtract 4 for both sides to get rid of +4)
x +4 -4 = 0 -4
x = -4
x-3=0 ( The same thing, but add 3 either side to get rid of -3 )
x-3 +3 = 0+3
x= 3
When should you use the median and interquartile range as your measure of center and measure of variability to
compare populations shown on a box plot? Check all that apply
when there are outliers in the data sets
when there are no big gaps in the middle of the data sets
when the plots representing the data are symmetrical
when the plots representing the data are nonsymmetrical
when there are no outliers in the data set
Intro
Done
Answer:
1,2,4
Step-by-step explanation:
edg
The median and interquartile range is used as a measure of center and measure variability to compare populations when:
When there are outliers in the data sets
When there are no big gaps in the middle of the data sets
When the plots representing the data are symmetrical
When there are no outliers in the data set
We have,
Use the median and interquartile range as measures of center and variability to compare populations shown on a box plot in the following scenarios:
- When there are outliers in the data sets:
The median and interquartile ranges are resistant to outliers, meaning they are not significantly influenced by extreme values.
- When there are no big gaps in the middle of the data sets:
The median is a measure of the center that is not affected by extreme values or outliers, making it appropriate when there are no significant gaps or clusters in the middle of the data sets.
The interquartile range, which measures the spread of the central 50% of the data, is also less influenced by extreme values compared to the range or standard deviation.
- When the plots representing the data are symmetrical:
The median is a suitable measure of center for symmetrical distributions, where the data is evenly distributed around the middle.
In such cases, the median provides a representative measure of the central tendency.
The interquartile range also captures the spread of the data within the central 50% and can be used as a measure of variability.
- When there are no outliers in the data set:
While the median and interquartile ranges are resistant to the influence of outliers, they can still be used effectively to compare populations when no outliers are present.
In the absence of outliers, the median accurately represents the central tendency, and the interquartile range provides a robust measure of variability.
Therefore,
When there are outliers in the data sets
When there are no big gaps in the middle of the data sets
When the plots representing the data are symmetrical
When there are no outliers in the data set
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A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards?
A. 24
B. 35
C. 36
D. 105
E. 144
Answer:
B. 35
Step-by-step explanation:
1. Multiply 15 by 21 to get 315 ft.
2. Convert square feet to square yards to get 35
3. There are 3 feet in ONE yard. The question asks you to convert the area from SQUARE feet to SQUARE yards. Squared means two. Three feet (or one yard) doubled is 9, so divide 315ft by 9.
4. 315 divided by 9 gives you 35
(This answer is correct according to the Official 2020-2021 ACT Practice Test answer sheet)
The area of the floor in square yards will be 315 square feet's.
What is the area of square and a rectangle?
The area of the square and rectangle is -
Square = [x]² {x is the side of a square]
Rectangle = L x B {L is the length and B is breadth}
Given is a room has a rectangular floor that is 15 feet by 21 feet.
We have room that has a rectangular floor that is 15 feet by 21 feet.
The area of the rectangle will be -
A = 15 x 21
A = 315 square feet's.
Therefore, the area of the floor in square yards will be 315 square feet's.
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40% of OatyPop cereal boxes contain a prize. Hannah
plans to keep buying cereal until she gets a prize. What is
the probability that Hannah only has to buy 3 or less
boxes before getting a prize?
We need to design a simulation. Which random device can we use to BEST
represent this situation?
Use a double-sided coin and
assign heads as the prize and
tails as no prize.
Use a number cube with the
numbers 1 through 6 and assign
1 through 2 as the prize and 3
through 6 as no prize.
Use a random number generator
ranging from 1 to 10 and assign
1 through 4 as the prize and 5
through 10 as no prize.
Use a deck of cards and assign
spades as the prize and all
other suits as no prize.
Answer:
Use a Random Number Generator
Step-by-step explanation:
I hate failing a I ready lesson. Hope this helps you!!
if tan 0= -3/8 which expression is equivalent to cot0?
Answer:
-8/3
Step-by-step explanation:
should be -8/3
cotangent is the reciprocal of tangent
tan 0 = -3/8
cot 0 = 1/tan 0 = 1 / (-3/8) = 8/-3 = -8/3
Answer: 1/-3/8
Step-by-step explanation:
Please Help Me With This!! I'd Appreciate It So Much!!
Keiko is walking. The number of calories she has burned varies directly with the number of minutes she has walked. See the graph below.
How many minutes does Keiko walk per calorie burned?
Answer:
5
Step-by-step explanation:
try 5 it should work
5 calories per minute.
The graph shows a proportional relationship where every 10 minutes, 50 calories are burned. Since it is proportional, we can divide 50 by 10 and get 5.
sorry if it’s hard to see . can anybody help me with this ?
Answer:
5
Step-by-step explanation:
4/4 crosses out and 20/4=5 so x=5
Answer:
x = 5
Step-by-step explanation:
since the work is already done for you, all you have to do is divide 20 by 4, which gives you 5.
you can also check this answer by multiplying 4 by 5, which would give you 20, further proving the answer.
Help,please,thankyou
Answer:
C.
Step-by-step explanation:
the answer is D not c
cause try it then see
Hailey picked 3.75 kg of blueberries at her grandmother's farm. What number of grams is equivalent to 3.75 Kilograms?
Answer:
3750 grams
Step-by-step explanation:
1 kilogram is 1000 grams'
Hope this helped
:)
2. Which equation shows converted to slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
y = mx + b shows slope-intercept form.
The first and second steps to solve the equation
+5-20 are shown below.
3* +5-520-5
Which property was applied in the second step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answer:
C is your answer
Step-by-step explanation:
Theo's Survey Results
Eye Color
Brown Blue
Boy
25
25
Gender
Girl
25
25
Theo recorded the gender and eye color of students walking in the hallway at his middle school. What is the
experimental probability in simplest form that the next student he sees will be a boy with brown eyes?
Answer:
25% or 1/4
Step-by-step explanation:
There altogether 100 boys and girls together and the probability of one color would be 25. Therefore 25/100 would your fraction but it has to be simplified so then the answer would be 1/4
The circumference of a circle is 80ft. What is the area of the circle? (Rounded to the nearest square foot)
Answer:
A≈509.3ft^2
Step-by-step explanation:
You find the Area of a Circle with formula A=πr^2
Down below is an example of how you can do so.
So for you problem you are given the circumference of the circle divide 80 by 2 to get 40. 40/3.14=12.73...
A=3.14*12.73...^2
12.73*12.73=162.05...
3.14*162.05=508.84...
Rounded off Area = 509.3
anyone know how to do this?
Using the Quadratic Formula: x = −b ± b2− 4ac√2a solve for the following Quadratic trinomial: x2−10x + 4.75 Explain each step: 1. How did you find the a, b and c? 2. How did you fill in the quadratic formula? Show 3. Where did you start? 4. What are your steps 5. What is your answer.
The solution of the quadratic trinomial is x=9,1.
What is a quadratic trinomial?A three terms polynomial of degree 2 is known as quadratic trinomial.
How to solve the quadratic trinomial?
The general form of quadratic equation is ax²+bx+c =0,
where x = (-b±√(b²-4ac))/2a
The equation is x²-10x+4.75=0
Here, a=1, b= -10, c=4.75
Hence, x= (10±√(100-19))/2
x=(10+8)/2, x= (10-8)/2
x=9, x=1
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Final answer:
The quadratic trinomial x² - 10x + 4.75 is solved using the quadratic formula. The coefficients identified are a=1, b=-10, and c=4.75, and when substituted into the formula, it yields solutions x = 7 and x = 3.
Explanation:
Solving a Quadratic Equation Using the Quadratic Formula
To solve the quadratic trinomial x2−10x + 4.75 using the quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', we first identify the coefficients a, b, and c from the trinomial, which are in the standard form of ax2 + bx + c = 0.
Identifying coefficients: a = 1 (the coefficient of x²), b = -10 (the coefficient of x), c = 4.75 (the constant term).
Plugging the coefficients into the quadratic formula: x = −(-10) ± √((-10)2 − 4(1)(4.75)) / (2(1)).
Calculating the discriminant: Calculate b2 − 4ac which is 100 − 19.
Square root step: Take the square root of the discriminant, which is √81.
Final calculation: Compute the two possible values for x which are x = 5 + √81 / 2 and x = 5 − √81 / 2.
Solution: The roots are x = 5 + 9/2 and x = 5 − 9/2, simplifying to x = 7 and x = 3.
The final answer for the roots of the equation x² − 10x + 4.75 = 0 using the quadratic formula are x = 7 and x = 3.
The top two nets represent the triangular prisms that are attached to the bases of a rectangular prism. The composite figure is composed of all three prisms. The shaded areas are faces that are shared between the prisms. What is the total surface area of the composite figure?
78 square units
144 square units
282 square units
342 square units
Answer:
282 square units
Step-by-step explanation:
I just answered this question
The total surface area of the composite figure is 282 square units. Thus, the correct option is C.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The top two nets are triangular prisms connected to the bases of a rectangular prism. The composite image is made up of all three prisms. The dark sections represent faces shared by the prisms.
The total surface area of the composite figure is calculated as,
A = 4(1/2 x 3 x 4) + 2(5 x 10) + 2(4 x 10) + 2(3 x 3) + 2(3 x 10)
A = 24 + 100 + 80 + 18 + 60
A = 282 square units
Thus, the correct option is C.
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The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5. On a coordinate plane, a rectangle has a length of 12 and width of 3. Which graph shows the original rectangle? On a coordinate plane, a rectangle has a length of 18 and width of 4. On a coordinate plane, a rectangle has a length of 8 and width of 2. On a coordinate plane, a rectangle has a length of 8 and width of 3. On a coordinate plane, a rectangle has a length of 12 and width of 3.
Answer:
It is the second option
Step-by-step explanation: I did the review <3
Answer:
B
Step-by-step explanation:
The Smiths spend 8% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $3,600 on entertainment. What was their total budget last year?
Answer:
$6600
Step-by-step explanation:
3000+3600=6600
Answer:
Their total budget was $42000 last year.
Step-by-step explanation:
8% = 0.08
1.) 0.08( x + 3000 ) = 3600
2.) Distribute:
0.08x + 240 = 3600
3.) Use inverse operation to solve. Subtract 240 from each side:
0.08x + 240 = 3600
- 240 = - 240
0.08x = 3360
3.) divide 0.08 from each side:
0.08x = 3360
x = 42000
Circumference and Area of a circle
#5 please
Answer: the circumference is 25.13 and the area is 50.26 if rounding up then 50.27
Step-by-step explanation: to find circumference it is 2piR and to find the area it is piR^2
find the area of that shape please and show work
Given:
AB = 9 in, BC = 2 in
DE = 3 in, EF = 3 in
To find:
The area of the shape
Solution:
ABCH is a rectangle.
Area of rectangle = length × width
= AB × BC
= 9 × 2
Area of ABCH = 18 in²
GDEF is a square.
Area of square = side × side
= DE × EF
= 3 × 3
Area of GDEF = 9 in²
Area of the shape = Area of ABCH + Area of GDEF
= 18 in² + 9 in²
= 27 in²
The area of the shape is 27 in².
Find the inverse of function f.
f(x) = 1/3 - 1/21x
Answer:f⁻ (x) = 7 - 21 x.
We can also write it as:
y = 1/3 - 1/21 x
1 / 21 x = 1 / 3 - y
x = 7 - 21
To find the inverse of the function f(x) = 1/3 - 1/21x, interchange x and y in the equation, solve for y, and denote it as the inverse function, resulting in [tex]f^-1(x) = 7 - 21x[/tex].
The student is asking to find the inverse of the function f(x) = 1/3 - 1/21x. To find the inverse function, we need to first rewrite the function in the form y = 1/3 - 1/21x. Next, we switch x and y to get x = 1/3 - 1/21y. Then, solve for y, giving us the inverse. The steps are:
Replace f(x) with y: y = 1/3 - 1/21xInterchange x and y: x = 1/3 - 1/21yMultiply both sides by 21 to clear the fraction: 21x = 7 - yAdd y to both sides and subtract 7 from both sides: y + 21x = 7Isolate y: y = 7 - 21xFinally, replace y with f-1(x) to denote the inverse function:f-1(x) = 7 - 21x