A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? You must show all work to receive credit.

Answer:

$6.08

Step-by-step explanation:

38 x 0.16

equals $6.08

Answer:

$31.92

Step-by-step explanation:

Find 16 percent of 38

38*.16= 6.08

subtract

38-6.08= 31.92

Answer:

D

Step-by-step explanation:

All you have to do is multiply -22.2 by -6.1

Answer: The answer is D

Step-by-step explanation:

Answer:

The small tire would make about  127 rotations.

The large tire would make about  38 rotations.

b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.

Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.

A bicycle with would allow you to travel farther with each rotation of the pedal.

The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.

[tex]C= 188.49\text{inches}[/tex]

[tex]C= 56.55\text{inches}[/tex]

Step-by-step explanation:

- Big wheel 60 inches

- Small wheel 18 inches.

a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Considering: [tex]C=\pi d[/tex]

Large tire:

[tex]C=60\pi[/tex]

[tex]C= 188.49\text{inches}[/tex]

[tex]$C=\frac{188.49}{12} = 15.7 \text{feet}$[/tex]

[tex]$\frac{600 }{15.7} = 38 \text{rotations}$[/tex]

Small tire:

[tex]C=18\pi[/tex]

[tex]C= 56.55\text{inches}[/tex]

[tex]$C=\frac{56.55}{12} = 4.71 \text{feet}$[/tex]

[tex]$\frac{600 }{4.71} = 127 \text{rotations}$[/tex]

Answer:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Step-by-step explanation:

To solve the log equation, the appropriate system of equations is y₁ =  log₀.₅ x and y₂ =  log₃(2+x) as these correspond to the format of the original log equation, where we can equate the two and solve for x.

To solve the equation log₀.₅ₓ = log₃ (2+x), we can rewrite it in a form that helps us find a system of equations.

First, apply the change of base formula for logarithms:

log ab/ log ac = log cb.

Using this formula, we can rewrite the given equation as:

log 0.5x / log₀.₅ 10 = log₃(2+x) / log₃10

Now, we can create a system of equations with the following relationships:

y₁ = log₀.₅ x / log₀.₅10

y₂ = log₃(2+x) / log₃10

Therefore, the correct choice is:

y₁ = logₓ/log₀.₅ , y₂=  log(2+x)/ log 3

https://brainly.com/question/30139693

#SPJ11

Answer:

[tex] \mu_{\bar X} = 90[/tex]

[tex] \sigma_{\bar X} =\frac{\sigma}{\sqrt{n}}= \frac{9.6}{\sqrt{144}}= 0.8[/tex]

Step-by-step explanation:

For this case we have a population with the following parameters:

[tex]\mu = 90, \sigma =9.6[/tex]

For this case we have a sample of n= 144 and this sample size is larger (>30) then we can apply the central limit theorem and the distirbution for the sample mean is given by:

[tex] \bar X \sim N( \mu, \frac{\sigma}{\sqrt{n}}) [/tex]

And replacing we got:

[tex] \mu_{\bar X} = 90[/tex]

And the standard deviation is given by:

[tex] \sigma_{\bar X} =\frac{\sigma}{\sqrt{n}}= \frac{9.6}{\sqrt{144}}= 0.8[/tex]

Step-by-step explanation:

18024 x 6 = 108144

18024 x 2/3 = 12016

18024 x 1 1/8 = 18025.125

18024 x 3/ 3 = 18024

18024 x 10/5 = 36048

Option A C E are the correct answer

Answer:

5

Step-by-step explanation:

B=a/h

The missing base in the figure is 5 centimeter.

The area of a parallelogram is the product of the base and the height of the figure. Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly. Then summing all those pieces' area gives us the area of the main big region.

The area of a parallelogram = Base x Height

Given;

     Area of parallelogram= 40 square centimeters

      Height of parallelogram= 8cm

Solution;

       A= b x h

   substituting the given values in the formula;

                 40= b x 8

                  b= 40/8

                   b= 5

So, the answer is 5cm

Learn more about area of a parallelogram here:

https://brainly.com/question/4887838

#SPJ6

Answer:

[tex]x=\sqrt{13}[/tex] (C.)

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](2^{2} )+(3^{2})=x^{2}[/tex]

[tex]4+9=x^{2}[/tex]

[tex]13=x^{2}[/tex]

[tex]\sqrt{13} =\sqrt{x^{2} }[/tex]

[tex]x=\sqrt{13}[/tex]

Answer:

triangular pyramid

Step-by-step explanation:

Let's make the central triangle the "base", or the bottom face, of our polyhedron. Try to visualise what will happen if we fold up the three triangles so that their top vertices meet at the center top (see diagram).

If we can do that, we'll see that it's a pyramid with a triangular base, so it's a triangular pyramid.

Final answer:

To rewrite 1/6 with a denominator of 18, multiply both the numerator and the denominator by 3, resulting in the equivalent fraction 3/18. To confirm its equivalence, simplify 3/18 back to 1/6 by dividing both the numerator and the denominator by 3.

Explanation:

How to Rewrite a Fraction with a New Denominator

To rewrite the fraction 1/6 with a denominator of 18, we need to find a number that we can multiply both the numerator and the denominator of the fraction by so that the denominator becomes 18. Since 6 times 3 equals 18, we will use 3. The fraction then becomes:

(1 x 3) / (6 x 3) equals 3/18.

Verifying the Equivalent Fraction

To verify that 3/18 is indeed equivalent to 1/6, we can simplify 3/18 by dividing both the numerator and denominator by their greatest common factor, which is 3:

3 ÷ 3 / 18 ÷ 3 = 1/6.

This confirms that 3/18 is equal to 1/6 because it simplifies back to the original fraction.

Answer:

Can I get more details on this question?

Step-by-step explanation:

If so, I can probably help you a little bit more. And I will edit my response

Answer: The answer is square pyramid

Step-by-step explanation:

Start at 6 on the y axis. Draw an arrow so that it horizontally moves to the blue curve. Then draw an arrow straight down to vertically drop to x = 4

See the diagram below.

Follow this process in reverse to see that x = 4 leads straight up to the blue curve, and then to the left to land on y = 6. Keep in mind that the inverse reverses the input and output process, which is why I started with y instead of x.

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression, f⁻¹(6) is 4.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression can be found as shown below,

y = f(x)

When the value of y is 4, the value of x is 6, therefore, we can write f(6)=4.

Now, the given expression can be simplified as,

f⁻¹(6) = 1 / f(6)

       = 1 / 4

       = 0.25

Hence, the value of the expression, f⁻¹(6) is 4.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

the answer is d

Step-by-step explanation:

Answer: 32

explanation.

The value of x in the equation log_2_ x = 5 is;

x = 32

We are given; log_2_ x = 5

To solve this, we need to understand that in logarithms, there is a rule for bases like this. An example is;

Log_a_x = y means that;

a^(y) = x

Apply that formula to our question gives us;

log_2_ x = 5 can be expressed as;

2^(5) = x

Thus; x = 32

Read more at;https://brainly.com/question/24224537

Answer:

x = 16

y = 16 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 60 = y/ 32

Multiply each side by 32

32 sin 60 = y

32 ( sqrt(3) /2) = y

16 sqrt(2)

cos theta = adj/ hyp

cos 60 = x /32

32 cos 60 = x

32 (1/2) =x

16 =x

Answer:

16

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

To solve this you need to use SOH-CAH-TOA

Do cos60° to find x

         [tex]cos60 = \frac{x}{32}[/tex]

Multiply both sides by 32 to get x alone

[tex]32(cos60) = x[/tex]

Now put 32(cos60) into your calculator

The answer you get is 16

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

We have that

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = [tex]r = \frac{d}{2}[/tex]

Substitute h for d in the above expression

[tex]r = \frac{h}{2}[/tex]. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

[tex]\pi r^2 = \frac{27}{h}[/tex]

-------------------

Calculating the volume of a sphere

[tex]V = \frac{4}{3}\pi r^3[/tex]

Expand the above expression

[tex]V = \frac{4}{3}\pi r^2 * r[/tex]

Substitute [tex]\pi r^2 = \frac{27}{h}[/tex]

[tex]V = \frac{4}{3} * \frac{27}{h} * r[/tex]

Recall that [tex]r = \frac{h}{2}[/tex]

So,

[tex]V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}[/tex]

[tex]V = \frac{4}{3} * \frac{27}{2}[/tex]

[tex]V = \frac{2}{3} * 27[/tex]

[tex]V = \frac{2}{3} (27)[/tex]

V = two-third (27)

Answer: a

Step-by-step explanation: can i have brainliest

Answer:

155

Step-by-step explanation:

9 x 4 = 36

6 x 9 = 54

5 x 9 = 45

triangles = 10 x 2 = 20

36 + 54 + 45 + 20 = 155

The surface area of the larger sphere is 366.2496 square centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, two spheres have volumes of 87 cm³ and 647 cm³.

We know that, the volume of a sphere = 4/3 πr³

Here, 647 cm³=4/3 πr³

647 = 88/21 r³

r³ = (647×21)/88

r³ = 154.39

r = 5.4 cm

We know that, surface area of a sphere is 4πr².

The surface area of the larger sphere = 4×3.14×5.4²

= 366.2496

Therefore, the surface area of the larger sphere is 366.2496 square centimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

"Your question is incomplete, probably the complete question/missing part is:"

Two spheres have volumes of 87 cm³ and 647 cm³. If the surface area of the smaller sphere is 167 cm², what is the surface area of the larger sphere?

64 cm²

96 cm²

128 cm²

256 cm²

Answer:

See explanation for answer.

Step-by-step explanation:

When the point on the number line is an open circle, that means that the inequality does not include that exact value. For instance, in this case the inequality only takes number higher than, but not equal to, -1. Hope this helps!

Answer:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

Step-by-step explanation:

Answer: X = 4.5

Step-by-step explanation:

The proportion is 8/9 for the lines. All we have to do is divide 4 by 8/9 to find the exact value of X.

4/(8/9) = 4.5

I hope this helps!

Answer:

[tex]x=-\frac{14+2y}{5}[/tex]

Step-by-step explanation:

That is what i got and i also checked it on a website. so i hope it helps

Answer:

198+h

have a nice day

Answer:

t = - 3, t = - 1

Step-by-step explanation:

Given

h(t) = t² + 4t + 3

To find the zeros equate h(t) to zero, that is

t² + 4t + 3 = 0

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term

The factors are + 3 and + 1, since

3 × 1 = 3 and 3 + 1 = 4, thus

t² + 4t + 3 = (t + 3)(t + 1) = 0

Equate each factor to 0 and solve for t

t + 3 = 0 ⇒ t = - 3

t + 1 = 0 ⇒ t = - 1

smaller zero is t = - 3

larger zero is t = - 1

Answer:

48 video games were sold.

Step-by-step explanation:

We know that both 100% and 60 are divisable by 5. 100%÷5=20%. 60÷5=12. So now we know that 20% of 60 is 12. We need 80%, however. To get from 20% to 80%, we just multiply by four. 20 × 4 = 80. But what we do to one side, we must do to the other. 12×4=48. So 80% of 60 is 48.

Hope this helped, and good luck with future math problems!

Answer:

False

Step-by-step explanation:

We have been given that the value of Vishal's car is depreciating exponentially.  The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the equation [tex]V=22,500\cdot 10^{-\frac{t}{12}}[/tex]. We are asked to find the time, when Vishal's car will be worth $10,000.

To find the time, we will equate our given equation with 10,000 as:

[tex]10,000=22,500\cdot 10^{-\frac{t}{12}}[/tex]  

[tex]\frac{10,000}{22,500}=\frac{22,500\cdot 10^{-\frac{t}{12}}}{22,500}[/tex]

[tex]\frac{4}{9}=10^{-\frac{t}{12}}[/tex]

Now we will take log on both sides.

[tex]log_{10}\left(\frac{4}{9}\right)=log_{10}\left(10^{-\frac{t}{12}}\right)[/tex]

[tex]log_{10}\left((\frac{2}{3})^2\right)=-\frac{t}{12}[/tex]

[tex]-\frac{t}{12}=log_{10}\left((\frac{2}{3})^2\right)[/tex]

[tex]-\frac{t}{12}(-12)=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]

[tex]t=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]

Using property [tex]log(a^b)=b\cdot log(a)[/tex], we will get:

[tex]t=(-12)\cdot 2log_{10}\left(\frac{2}{3}\right)[/tex]

[tex]t=-24log_{10}\left(\frac{2}{3}\right)[/tex]

Therefore, the value of Vishal's car will be $10,000 after approximately  [tex]-24log_{10}\left(\frac{2}{3}\right)[/tex] years.

Answer:

y+ 3 = -1/3 (x-4)

Step-by-step explanation:

Simply plug in the values using (4, -3)

4 = x₁

-3 = y₁

Now one rule to keep in mind when plugging it in, since a negative and a negative make a positive, you have to add three instead of subtracting it.

Answer:

I think the answer is y+ 3 = -1/3 (x-4)

Step-by-step explanation:

Answer: the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.

Step-by-step explanation:

Based on the question above,

P(6) = P(7 or 8) = P(9)

Hence,

The fair decision can be made if:

the sum is 6, a small cone will be ordered, when the sum is 7 or 8 a medium cone will be ordered and when the sum is 9, a large cone will be ordered.

Answer:

1/2 or 50%

Step-by-step explanation:

Please check if that is correct. But generally there are two sides so half of the times it should be heads.

Hope this helps.