Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer:

-1/5

Step-by-step explanation:

if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5

Answer:

slope=-1/5

Step-by-step explanation:

Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5

Answer:

-2×2+1/2×(-1×3+2/3)

-3/2×(-1/3)

3/6

Answer:

2/6 < 7/9 < 9/10

Step-by-step explanation:

Answer:

1. 25/24

2. 7/6

3. 4/3

4. 6/8 or 3/4

5. 5/4

1. 1

2. 1/4

3. 2/10 or 1/5

4. 7/3

5. 13/6

Answer:

DEF

Step-by-step explanation:

If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.

Answer:

The statement that best describes how to determine if the plane clears the tower is;

Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height

Step-by-step explanation:

The given parameters are;

The length the plane will travel before lifting = 1300 yards

The distance further the plane will travel after lifting off the ground = 705 yards

The horizontal distance from the point of lifting off the ground to control tower = 700 yards

The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;

The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle

The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle

Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;

h = √(R² - x²)

We have;

R = 705 yards

x = 700 yards

∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281

The height of the control tower, h = 5·√281 yards

1 yard = 3 feet

∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet

Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.

Answer:

6 dollars

Step-by-step explanation:

Hope this helps. :))

ANSWER :

y - 25 = 11

y = 25 + 11

y = 36

Answer:

y = 36

Step-by-step explanation:

Answer:

8.x=7

7.x=12

Step-by-step explanation:

8.The two Base angles are equal

7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.

Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]

[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]

[tex]Area=3.7*1.9[/tex]

[tex]Area = 7.03m^{2}[/tex]

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

Answer:

f

Step-by-step explanation:

Answer:

The average is exactly 26,375 gallons of gas per hour.

How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.

Step-by-step explanation:

This is how much gas the jet uses per 1 hour

my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

<

3

5

Interval Notation:

(

−

∞

,

3

5

)

Step-by-step explanation:

[tex]5x - 1 < 2 \\ 5x < 3 \\ x < \frac{3}{5} \\ x < 0.6 \: x( - \infty . \frac{3}{5} )[/tex]

Answer:

Step-by-step explanation:like like l'ike m y vieo9dsssssssss

The equivalent expression is 7m + 68

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = 56 + 23m + 12 - 16m

Adding the like terms in the equation , we get

A = ( 56 + 12 ) + ( 23m - 16m )

On Simplifying , we get

A = 68 + 7m

A = 7m + 68

Hence , the required solution is 7m + 68

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Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

Answer:

x=8

Step-by-step explanation:

3x-15+1=10

3x=10+15-1

3x=24

x=24/3=8

easy

Answer:

See below

Step-by-step explanation:

The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.

The null hypothesis is rejected since the p-value shows that it is unlikely to be true.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

As per the given question, the required solution would be as:

A) Hypothesis test :

The null and alternative hypothesis is

Hi : u = 98.6

Ha : u < 98.6

B) Test statistic is t = -3.831

C) sample size, n= 31

degree of freedom,

df = n -1 = 31 - 1 = 30

P-value = p(t < -3.831 )

= 0.0003 (from t table)

d) P-value < 0.10, reject the null hypothesis.

is, support

As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.

Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.

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Answer:320

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

hope this helps

Answer:

It is when it has factors and can be multiplied

Answer:

Exponential

Step-by-step explanation:

2z

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

(0, 1) (2, 7)

x changes by +2 (from 0 to 2)

y changes by +6 (from 1 to 7)

the slope is +6/+2 = 6/2 = 3

(4, 5) (1, 1)

x changes by -3 (from 4 to 1)

y changes by -4 (from 5 to 1)

the slope is -4/-3 = 4/3

(1, -2) (4, 7)

x changes by +3 (from 1 to 4)

y changes by +9 (from -2 to 7)

the slope is +3/+9 = 3/9 = 1/3

Answer:

it is D

UR WELCOME

Answer:

C

Step-by-step explanation:

Substitute the values of x into y and evaluate , that is

x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3

x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0

x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3

The values of y that complete the table are

- 3, 0, 3 → C

Answer:   -___-

Step-by-step explanation:

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

Answer:

$11.25

Step-by-step explanation:

4 x 5 = 20

9 x 5 = 45

20/4 = 5

45/5 = 11.25

Answer:

x- intercept = 8 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

x - 4(0) = 8

x - 0 = x

x = 8 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

0 - 4y = 8

- 4y = 8 ( divide both sides by - 4 )

y = - 2 ← y- intercept

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20