solve for x
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Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

The maximum radius of the can they will produce = 1.7 inches

Step-by-step explanation:

Please see the attached files for explanation

Answer:

The correct option is option (D)

The initial investment is $10,600 and the growth rate of the investment is 3.85%.

Step-by-step explanation:

The formula of compound interest:

[tex]A=P(1+r)^n[/tex]

A= Total amount after n years

P= Initial value of deposit

r= rate of interest compound annually

n= time is in year

Given expression is

[tex]A=10,600(1.0385)^x[/tex]

[tex]A=10,600(1+0.0385)^x[/tex]

Now we compare the given expression with the compound interest formula

So,

P= 10,600

r=0.0385 =3.85%

So, the initial investment is $10,600 and the growth rate of the investment is 3.85%.

Answer:

the first digit like 10 x 7

Step-by-step explanation:

ur multiplying it byyyyyy 10

Answer:

multiplier

Step-by-step explanation:

7 is what's multiplying

10 is called the multiplier

Answer:

p = 92

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angle

p+45 = (p-47)+p

Combine like terms

p+45 = 2p-47

Subtract p from each side

p-p+45 = 2p-p-47

45 = p-47

Add 47 to each side

45+47 = p-47+47

92 = p

Answer:

15%

Step-by-step explanation:

$45/$300 = 0.15 = 15%

Answer:

what is the question

Step-by-step explanation:

Salim has a flock of 300 chickens, and 15% of them are infected with a virus. He plans to take a Simple Random Sample (SRS) of 7 chickens to test for the virus.

Salim has a flock of 300 chickens, and 15% of them are infected with a virus. This means there are 45 infected chickens in the flock. To test for the virus, Salim plans to take a Simple Random Sample (SRS) of 7 chickens from the entire flock.

A Simple Random Sample involves selecting a subset of individuals from a larger population in such a way that each individual has an equal chance of being selected. This ensures that the sample is representative of the entire population.

Salim's decision to take a sample of 7 chickens is based on the practical constraints of time, resources, and cost. Testing all 300 chickens would be time-consuming and expensive. By taking a smaller sample, Salim can still obtain valuable information about the prevalence of the virus in his flock while minimizing costs and resources.

However, it's important to note that the accuracy of the sample depends on how well it represents the entire population. To ensure the sample is truly random and representative, Salim should use a random selection method, such as drawing names from a hat or using a random number generator.

Once Salim selects his sample, he can conduct tests to determine the presence of the virus in these chickens. The results of these tests will provide valuable insights into the overall prevalence of the virus in his flock, helping him make informed decisions about disease management and control.

The complete question is:

Salim had a flock of 300 chickens 15% of which are infected with a virus he plans on taking a SRS of 7 chickens to test for the virus.

Answer:

x = 30

Step-by-step explanation:

The measure of the chord- chord angle is one half the the sum of the arcs intercepted by the angle and its vertical angle, that is

A

[tex]\frac{1}{2}[/tex] (2x + 10 + x + 20) = 60

B

Multiply both sides by 2 to clear the fraction

2x + 10 + x + 20 = 120, that is

3x + 30 = 120 ( subtract 30 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Answer:

[tex]\frac{x+2}{5} = x+4[/tex]

Step-by-step explanation:

"sum of a number and two" => addition of x and 2

"divided by 5" => division by 5

"equal" => "="

"plus four" => add 4

The value of the number such that the given phrase satisfy will be -4.5 and the equation will be (x + 2)/5 = x + 4.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose that number is x.

The Sum of x and 2 will be x + 2.

It is divided by 5 thus, (x + 2)/5

It is equal to x + 4.

(x + 2)/5 = x + 4

(x + 2) = 5(x + 4)

x + 2 = 5x + 20

5x - x = 2 - 20

4x = -18

x = -4.5

Hence "The value of the number such that the given phrase satisfy will be -4.5 and the equation will be (x + 2)/5 = x + 4".

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Answer:X=1 or 0.5

Step-by-step explanation:

Use general quadratic equation

That is

X=(-b+or√(b²-4ac))/2a

Where

a=4

b=-6

c=2

Answer:

Step-by-step explanation:

hello :

4x²-6x+2=0

2(2x²-3x+1)=0    means : 2x²-3x+1 = 0

(x-1)(2x-1)=0

x-1=0  or 2x-1=0

x=1 or x= 1/2

Answer:

a) = 3.96

b) = 0.72

c) = 7.94

Step-by-step explanation:

Complete question.

(A long jumper leaves the ground at an angle of 20° above the horizontal, at a speed of 11 m/sec. The height of the jumper can be modeled by h(x) = -0.046x2+ 0.364x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch. a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. c.What is the length of the jump? Round to 1 decimal place.)

Solution.

Data

Θ = 20

v = 11m/s

h(x) = -0.046x² + 0.364x

x = horizontal distance

h = height

a.

h(x) = -0.046x² + 0.364x

at maximum height,

d / dx (h) = 2(-0.46x) + 0.364

d / dx (h) = -0.092x + 0.364

at maximum height d / dx (h) = 0

0 = -0.092x + 0.364

0.092x = 0.364

x = 3.96.

b).

Hmax = -0.046x² + 0.364x

Hmax = -0.046(3.96) + 0.364(3.96)

Hmax = -0.72 + 1.44

Hmax = 0.72

c) the length of the jump can be calculated using the formula for range of a projectile

R = v² sin2Θ / g

g = 9.8m/s²

R = 11² * sin 2(20) / 9.8

R = 121 * sin40 / 9.8

R = 77.777 / 9.8

R = 7.936 = 7.94

a. The maximum height occurs at a horizontal distance of 3.96 meters.

b. The maximum height of the long jumper is 0.72 meters.

c. The length of the long jumper's jump is approximately 7.94 meters.

a. The maximum height occurs when the derivative of the height function with respect to horizontal distance is equal to zero.

Given h(x) = -0.046x² + 0.364x

Taking the derivative of h(x) with respect to x:
dh/dx = -0.092x + 0.364

Setting dh/dx to zero and solving for x:
0 = -0.092x + 0.364
0.092x = 0.364
x = 3.96

Therefore, the maximum height occurs at a horizontal distance of 3.96 meters.

b. To find the maximum height, substitute x = 3.96 into the height function h(x):
h(3.96) = -0.046(3.96)² + 0.364(3.96)
h(3.96) = -0.72 + 1.44
h(3.96) = 0.72

The maximum height of the long jumper is 0.72 meters.

c. The length of the jump, also known as the range, can be calculated using the formula for the range of a projectile:

R = v^2 * sin(2θ) / g

Given:
v = 11 m/s
θ = 20°
g = 9.8 m/s²

Substitute these values into the formula:
R = 11^2 * sin(40°) / 9.8
R = 121 * sin(40°) / 9.8
R = 121 * 0.6428 / 9.8
R = 77.777 / 9.8
R ≈ 7.94

Therefore, the length of the long jumper's jump is approximately 7.94 meters.

Complete question :

(A long jumper leaves the ground at an angle of 20° above the horizontal, at a speed of 11 m/sec. The height of the jumper can be modeled by h(x) = -0.046x2+ 0.364x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch. a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. c.What is the length of the jump? Round to 1 decimal place.)

Solution.

Data

Θ = 20

v = 11m/s

h(x) = -0.046x² + 0.364x

x = horizontal distance

h = height

a.

h(x) = -0.046x² + 0.364x

at maximum height,

d / dx (h) = 2(-0.46x) + 0.364

d / dx (h) = -0.092x + 0.364

at maximum height d / dx (h) = 0

0 = -0.092x + 0.364

0.092x = 0.364

x = 3.96.

b).

Hmax = -0.046x² + 0.364x

Hmax = -0.046(3.96) + 0.364(3.96)

Hmax = -0.72 + 1.44

Hmax = 0.72

c) the length of the jump can be calculated using the formula for range of a projectile

R = v² sin2Θ / g

g = 9.8m/s²

R = 11² * sin 2(20) / 9.8

R = 121 * sin40 / 9.8

R = 77.777 / 9.8

R = 7.936 = 7.94.

Answer:

The middle three sentences are hyphenated correctly.

Step-by-step explanation:

Answer:

Vincent would have 30.5 more visits, but since you can't have half a visit technically speaking, round up to 31 if it is allowed.

Step-by-step explanation:

$231 - $48 = $183

$183 divided by $6 = 30.5

Answer:

[tex]A(x) = 2x^2-22x+144[/tex]

Step-by-step explanation:

We are given the following in the question:

Area of room =

[tex]3x^2 + 2x[/tex]

Area of rug =

[tex]x^2 + 24x - 144[/tex]

We have to find the area of of the room not covered by the rug.

Area of of the room not covered by the rug =

Area of room - Area of rug

[tex]A(x)=(3x^2 + 2x) - ( x^2 + 24x - 144)\\A(x)=3x^2 + 2x-x^2 -24x + 144\\A(x)=(3x^2-x^2)+(2x -24x) + 144\\A(x)=2x^2-22x+144[/tex]

is the required expression for the area of floor not covered by the rug.

Given:

The price of milk at the end of the third week = $3.38.

The price of milk at the end of the eighth week = $3.55.

To find:

The approximate increase in price of milk per week and the cost of milk at the end of the tenth week.

Solution:

To determine the increase in the price per week, we divide the difference in price over n number of weeks by n.

Here we know the prices of milk at the end of the third and the eighth week. There are 5 weeks between these two.

The approximate increase in the price of milk [tex]= \frac{3.55-3.38}{5} = \frac{0.17}{5} = 0.034.[/tex]

So there is an increase of $0.034 per week.

To determine the price at the end of the tenth week, we add the increase in price over two weeks to the price at the end of the eighth week.

The price of milk at the end of the eighth week = $3.55.

The increase in price over two weeks [tex]=2(0.034) = 0.068.[/tex]

The price of the milk at the end of the tenth week [tex]= 3.55+0.068=3.618.[/tex]

Rounding this off to the nearest cent, we get the price of milk at the end of the tenth week is $3.62.

Answer:

1500 Time the multiple of model scale is the actual length of the ramp.

Step-by-step explanation:

Given:

Actual length of ramp is 500ft

Modelling scale is 1/125.

To Find:

how many times as long as the actual on ramp is the model.

Solution:

Actual length is 500 ft

When Civil engineer is modelling the ramp on model then it is about 1/125 of the actual length present at that site.

So

=500*1/125

=4 inches

So on model scale engineer took inches as a unit  for scale.

Actual length is 500 ft and model length is 4 inches

So 1 ft corresponds to 12 inches hence 500*12=6000 inches

6000 inches corresponds to 4 inches on model scale

i.e it is about 1500 time multiple of the model scale.

To find out how many times longer the actual on-ramp is than the model, we can use the following steps:

1. **Convert the model length to the same unit as the actual on-ramp:** Since the model's length is given in inches and the actual length is given in feet, we need to convert one of the measurements to the other unit so that they are comparable. Here, we will convert the model's length into feet. There are 12 inches in 1 foot, so to convert inches to feet, we divide by 12.

  Model length in feet = Model length in inches / 12
  Model length in feet = 4 inches / 12 inches per foot
  Model length in feet = 1/3 foot

2. **Compare the actual length to the model length:** Once both lengths are in the same unit, we divide the actual on-ramp length by the model length to find out how many times longer the actual on-ramp is.

  Times longer = Actual length / Model length
  Times longer = 500 feet / (1/3 foot)

3. **Solve the division:** Now we solve the division by multiplying the actual length by the reciprocal of the model length.

  Times longer = 500 feet * (3/1)
  Times longer = 1500

So, the actual on-ramp is 1500 times longer than the model.

As for the mention of a scale of 1/125, this doesn't come into play in this specific comparison, as we are only comparing lengths. However, if we want to double-check the work, we can ensure that the scale is consistent with our findings.

Given a scale of 1/125, it means that 1 unit on the model represents 125 units in reality. If our model is 4 inches, that would mean:

  Actual length at this scale = Model length * Scale factor
  Actual length at this scale = 4 inches * 125
  Actual length at this scale = 500 inches

Now, to convert this into feet:

  Actual length at this scale in feet = 500 inches / 12 inches per foot
  Actual length at this scale in feet = 41.6667 feet (approximately)

Now, this is not the actual length we've been given for the on-ramp (which is 500 feet), so it seems there might be some confusion with the scale provided. The scale factor is not needed when directly comparing the model's length to the actual on-ramp's length, as long as we convert into the same units for a fair comparison.

Answer:

33 is the correct answer.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Notice that the radius is 28 meters, and the angle of the orange sector is 137°. However, the angle of the blue sector is:

360° - 137° = 223°

The area of a circular sector is

[tex]A=\frac{\pi r^{2} \alpha}{360\°}[/tex]

Replacing given values, we have

[tex]A=\frac{(3.14)(28)^{2} (223\°)}{360\° }=\frac{548972.48}{360} \approx 1525[/tex]

Therefore, the right answer is the second choice.

Answer:

B. 1,525.7 square meters

Correct graph:

The correct graph is attached below.

Source:

Previous question that can be found at chegg

Step-by-step explanation:

Let's recall that the formula of the area of a sector of a circle is:

Area = π * r² * (C/360 ), where:

r is the radius of the circle of which the sector is part

C is the central angle in degrees

Replacing with the values provided, we have:

r = 28 meters

C = 360 - 137 = 223 (We're being asked about the blue sector area not the orange sector area)

Area = π * 28² * (223/360 )

Area = 3.1416 * 784 * 0.6194

Area = 1,525.7 m²

The correct answer is B. 1,525.7 m²

Final answer:

When using multiple adjectives, there is a specific order that should be followed to make sentences sound natural and to convey descriptions clearly. Therefore, the correct answer is option D

Explanation:

When using more than one adjective, there is an order that should be followed (option D). In English grammar, adjectives are typically arranged in a specific order when they are used together before a noun. The general sequence is opinion, size, age, shape, color, origin, material, and purpose. Following this adjective order helps sentences sound natural to native speakers and makes the description clearer and easier to understand. For example, you might describe a sweater as a 'beautiful, small, old, red woolen sweater' to adhere to the standard adjective order.

Answer:

Step-by-step explanation:

1 hour=60 min

7 hours=60×7=420 min

number of blink=420×13=5460

Final answer:

To calculate the number of times a person will blink in 7 hours at a rate of 13 blinks per minute, you multiply 13 by the total number of minutes in 7 hours (420) to get 5,460 blinks.

Explanation:

If people blink about 13 times per minute, we can calculate how many times they blink in 7 hours by multiplying the number of blinks per minute by the number of minutes in 7 hours. First, let's find out how many minutes are in 7 hours:

7 hours x 60 minutes per hour = 420 minutes

Now, we'll multiply the number of minutes by the number of blinks per minute:

420 minutes x 13 blinks per minute = 5,460 blinks

Therefore, a person will blink 5,460 times in 7 hours. This is a simple arithmetic multiplication problem that provides us with the total number of blinks over a given period.

Answer:

First of all, find x from the Pythagorean theorem [tex]a^2+b^2=c^2[/tex], which c is the hypotenuse. 

[tex]7^2+24^2=c^2[/tex]

[tex]49+576=c^2[/tex]

[tex]c^2=625[/tex]

c=25 or x=25

Next, we have to figure out the value of y and z. So, you need to use inverse trigonometric functions.

arctan[tex](\frac{7}{24})=y=16.3[/tex] degrees. arctan[tex](\frac{24}{7})=z=73.7[/tex] degrees.

All in all, the values are

x=25

y=16.3

z=73.7

Hope this helps and have a nice day!

Answer:

D

Step-by-step explanation:

4*16=64

8*8=64

Answer:

D. 8

Step-by-step explanation:

8*8= 64 =4*16

Answer:

3

Step-by-step explanation:

If there are 6 doughnuts in each box and there are 4 boxes, then 4x6=24. The 24 needs to be split between 8 people. So 24/8=3.

Answer:

Three doughnuts

Step-by-step explanation:

4 boxes of doughnuts times 6 in each box is 24. And 24 divided by 8 is 3.

Answer:

( x+1, y+5 )

Step-by-step explanation:

x+1 because adding 1 to the x coordinate would shift it over 1

y+5 because adding 5 to the y coordinate would shift it up 5

Formula for g(x) is g(f(x)) = ( x+1, y+5 )

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to function

If shift down by 4 units, subtract 4 from function

x+1 because adding 1 to the x coordinate would shift it over 1

y+5 because adding 5 to the y coordinate would shift it up 5

g(f(x)) = ( x+1, y+5 )

Hence, formula for g(x) is g(f(x)) = ( x+1, y+5 )

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Answer:

(x + 2)(x - 4)

Step-by-step explanation:

Given the zeros of a function, say x = a and x = b, then

the factors are (x - a) and (x - b)

From the graph

The zeros are x = - 2 and x = 4, thus the factors are

(x - (- 2)) and (x - 4), that is (x + 2) and (x - 4)

Answer:

The answers go backwards in the negative

Step-by-step explanation:

it goes -2, -1 3/4, -1 1/2, -1 1/4, -1, and so on.

Answer: The number line shows -2 through 2, divided unto fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

Answer:

58 °F

have a wonderful day you are amazing :)

Answer:

22 degrees

Step-by-step explanation:

100-78=22

Answer:

Answer:jhmghmnb

bnm nbb

Step-by-step explanation:nbm nmnm bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The dimensions that could be the dimensions of a unit cube are:

A unit cube is a cube with side lengths of 1 unit, where the unit can be any length (such as inches, feet, centimeters, etc.). Therefore, to be the dimensions of a unit cube, all three side lengths must be equal to 1 unit.

Let's go through the options:

A. 1 ft by 1 ft by 1 ft: This represents a cube where all sides are 1 foot long. Since each side is 1 unit, this is a unit cube. (Correct)

B. 1 in by 2 in by 1 in: One of the side lengths is not 1 unit. Therefore, this cannot be the dimensions of a unit cube. (Incorrect)

C. 1 ft by 1 in by 1 cm: All sides are of one unit, but not of the same unit (feet, inch and centimeter given). Therefore, this cannot be the dimensions of a unit cube. (Incorrect)

D. 1 mm by 1 mm by 1 mm: Each side is 1 millimeter long, which is a unit of length. Therefore, this represents a unit cube. (Correct)

E. 1 m by 1 m by 2 m: One of the side lengths is not 1 unit. Therefore, this cannot be the dimensions of a unit cube. (Incorrect)

The question is:

Which of these could be the dimensions of a unit cube? Select all that apply.

A. 1 ft by 1 ft by 1 ft.

B. 1 in by 2 in by 1 in.

C. 1 ft by 1 in by 1 cm

D. 1 mm by 1 mm by 1 mm

E. 1 m by 1 m by 2 m

Answer:

actually the answer is A

Step-by-step explanation:

a = 1.16 and b = 0.12

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