Find the volume of the prism.

A. 168 units^3
B. 210 units^2
C. 210 units^3
D. 168 units^2

Answer:

552.16 cm^3

Step-by-step explanation:

Just multiply the lenght together.

The volume of the rectangular prism is approximately 552.16 cubic cm.

To find the volume of a rectangular prism, you need to multiply its length, width, and height.

Given that the length is 14 cm, the width is 3.4 cm, and the height is 11.6 cm, we can calculate the volume as follows:

Volume of a rectangular prism = Length × Width × Height

Volume of a rectangular prism = 14 cm × 3.4 cm × 11.6 cm

Volume of a rectangular prism ≈ 552.16 cm³ (rounded to the nearest tenth)

Therefore, the volume of the rectangular prism is approximately 552.16 cubic cm.

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Answer:

(a)

Step-by-step explanation:

Using Pythagoras' theorem

11² + 12² ? 16²

121 + 144 ? 256

265 > 256 ⇒ acute triangle

If the left side < right side then obtuse

If the left side = right side then right

Corresponding sides of the two triangles occur in a ratio with one another. In particular, you have the relationship

[tex]\dfrac6{6+x}=\dfrac{10}{15}=\dfrac y{y+4}[/tex]

We only need the first two parts to solve for [tex]x[/tex]:

[tex]\dfrac6{6+x}=\dfrac{10}{15}\implies6\cdot15=10(6+x)\implies90=60+10x\implies30=10x[/tex]

[tex]\implies\boxed{x=3}[/tex]

Answer:

  1675 cm

Step-by-step explanation:

distance = speed · time

total distance = speed1 · time1 + speed2 · time2

 = (40 cm/s)(25 s) + (15 cm/s)(45 s) = 1000 cm + 675 cm = 1675 cm

Roberto's toy car travels 1000 cm at high speed (40 cm/sec for 25 sec) and 675 cm at low speed (15 cm/sec for 45 sec), totaling 1675 cm.

To calculate the total distance traveled by Roberto’s toy car, we need to consider the two separate speeds at which the car travels and the time it spends at each speed.

First, we calculate the distance at high speed using the formula distance = speed × time. At high speed, the car travels at 40 cm/sec for 25 seconds, so we multiply these two values to get the distance:

Distance at high speed = 40 cm/sec × 25 sec = 1000 cm

Next, we calculate the distance at low speed, where the car travels at 15 cm/sec for 45 seconds:

Distance at low speed = 15 cm/sec × 45 sec = 675 cm

Finally, we add these two distances together to find the total distance traveled by the toy car:

Total distance = Distance at high speed + Distance at low speed = 1000 cm + 675 cm = 1675 cm

Therefore, Roberto’s toy car would have traveled 1675 centimeters in total.

Answer:

A)  

He will score over 100,000 points 4 times.  

B)  

He will score over 100,000 points 6 times.  

C)  

He will score over 100,000 points 8 times.  

D)  

He will score over 100,000 points 12 times.

Step-by-step explanation:

Answer is B

Answer:

B) He will score over 100,000 points 6 times.

Step-by-step explanation:

I got it correct on USATP.

Hope this helps!

From: Aug1e

I think it’s C. three types of shapes

because more than one repeating shape with no spaces or overlapping between shapes

A semi-regular tessellation may have three types of shapes. They do not have gaps between shapes, no overlapping shapes.

A. Gaps between shapes - false

B. Overlapping shapes - false

C. Three types of shapes - true

D. Only one type of shape - false

Thus, a semi-regular tessellation may have three types of shapes.

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Answer:

5

Step-by-step explanation:

since -4 *-2 = 8 and -8+8=0

0*-2=0

0+5=5

Answer:

90 feet

Step-by-step explanation:

If we put t  = 6 into both the formulas, we will get the height of each.

Zinger 1:

Height = [tex]-16t^2 + 150t[/tex]

Putting t = 6,

[tex]-16(6)^2 + 150(6)=324[/tex]

Zinger 2:

Height = [tex]-16t^2 + 165t[/tex]

Putting t = 6,

[tex]-16(6)^2 + 165(6)=414[/tex]

The difference in height is 414 - 324 = 90 feet

Answer:

[tex]\boxed{\text{TRUE}}[/tex]

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

Answer:

Step-by-step explanation:

The probability of picking a red candy from a full bag is 0.20.

But we also have experimental information represented by those 20 digits, each of which tells us how many red candies are in each package.

In the 2nd package there is 1 red candy.  In the fourth there is 1 red candy (since 2 represents a red candy, just like 1 represents a red candy).

Next, in the 6th and 8th packages there is 1 red candy each.  Finally, in the 19th package there is 1 red candy.    Now add up these results:  the number of red candies is 1 + 1 + 1 + 1 + 1, or 5.  This seems to indicate that there will be 5 red candies in the entire 20 packages.  

Caution:  What I have shared here is MY personal interpretation of what we are being asked.  

A is the correct answer

Answer:

The correct option is A.

Step-by-step explanation:

An organization consists of 8,684 employees. The organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. It means

[tex]n=884[/tex]

[tex]p=\frac{36}{100}=0.36[/tex]

The value of z-score for 95% confidence level is 1.96.

The formula for margin of error is

[tex]ME=z\times \sqrt{\frac{p(1-p)}{n}}[/tex]

Where, z is z-score at given confidence level, p is sample proportion and n is number of samples.

[tex]ME=\pm 1.96\times \sqrt{\frac{0.36(1-0.36)}{884}}[/tex]

[tex]ME=\pm 0.0316425[/tex]

[tex]ME\approx \pm 0.032[/tex]

The margin of error is ±0.032 and the sample size is appropriately large. Therefore, the correct option is A.

Answer: Option C.

Step-by-step explanation:

For a parent function [tex]f(x)=x^2[/tex], you have these transformations:

If [tex]f(x)=c(x^2)[/tex] and [tex]0 <c <1[/tex]  then the graph is compressed vertically by a factor "c".

If [tex]f(x)=c(x^2)[/tex] and [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor "c"

If [tex]f(x)=(cx)^2[/tex] and [tex]0 <c <1[/tex] then the graph is stretched horizontally by a factor "c"

If [tex]f(x)=(cx)^2[/tex] and [tex]|c| > 1[/tex] then the graph is compressed horizontally by a factor "c"

In this problem we have the function [tex]f(x)=x^2[/tex] and we know that this is  horizontally compressed to g(x), then the transformation is:

[tex]f(x)=(cx)^2[/tex] and the factor must be [tex]|c| > 1[/tex]

You can observe that the option that shows this form is the option C. Therefore, the equation of g(x) is:

[tex]g(x) = (5x)^2[/tex]

Where [tex]|5| > 1[/tex]

A horizontal compression of the function f(x) = x² is represented by the function g(x) = (5x)², where x is multiplied by a constant greater than 1, causing the function to be 'squeezed' together along the x-axis.

The question is asking for a horizontal compression of the function f(x) = x². A horizontal compression occurs when we multiply the x by a constant greater than 1 inside the function parentheses. This affects the rate at which the function grows horizontally.

A good way to visualize this is by thinking of the x-axis being 'squeezed' together. Given the choices, the function that represents a horizontal compression of f(x) = x² is C: g(x) = (5x)². In this case, we are multiplying x by a constant (5), thus compressing the function horizontally compared to the original function.

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Answer:

x = 3

Step-by-step explanation:

It should NOT be "fight of the origin", rather "right of the origin".

Now let's move on to solve the question...

The x-intercept is found by setting the function equal to 0. Thus:

0 = x^3 - 9x

Let's solve this using algebra:

[tex]0=x^3-9x\\0=x(x^2-9)\\0=x(x-3)(x+3)[/tex]

Hence, x = -3 and x = 3

The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.

Answer: Option B

Step-by-step explanation: If You Found The Area Of The Triangle You Would Get An Answer Of 36 Square Inches. Have A Great Day!

The area of a triangle with a base of 9 inches and a height of 8 inches is found using the formula A = ½ × base × height, resulting in 36 square inches.

To find the area of a triangle, the formula A = ½ × base × height is used, where A represents the area, base is the length of the base of the triangle, and height is the measure from the base to the opposite vertex at a right angle. In this instance, the base of the triangle is 9 inches and the height is 8 inches. By plugging these values into the formula, you get the following calculation:

A = ½ × 9 in × 8 in = ½ × 72 in² = 36 in²

Therefore, the area of the triangle is 36 square inches.

Answer:

40 units^2

Step-by-step explanation:

This is because your figure has a height of 8 and a width of 5. 8*5=40 so there u go! Please mark brainliest

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

To find the length and breadth

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and  

Breadth of rectangle = 5 units

To find the area of rectangle

Area = Length * Breadth

  = 8 * 5 =  40 square units

The answer is A. a=(-1) b=(7)

Answer: A

Step-by-step explanation: simple mafs

Answer:

Step-by-step explanation:

I will assume that you meant F(x)= 12x + 12.  If you meant a fraction, write 1/2.

Then F(3) = 12(3) + 12 = 48

F(-12) = 12(-12) + 12 = -132.  

F(1/3) = 12(1/3) + 12 = 4 + 12 = 16

Please verify what you meant.  Then I will answer the remaining questions.

[tex]\(F(3) = 48\), \(F(-12) = -132\), \(F\left(\frac{1}{3}\right) = 16\), \(F\left(\frac{3}{4}\right) = 21\), \(F(x) = 12x + 12\).[/tex]

To find the values of the function [tex]\(F(x) = 12x + 12\)[/tex] for the given inputs:

1. F(3): Substitute x = 3 into the function: F(3) = 12(3) + 12 = 36 + 12 = 48.

2. F(-12): Substitute x = -12 into the function: F(-12) = 12(-12) + 12 = -144 + 12 = -132.

3. [tex]\(F\left(\frac{1}{3}\right)\)[/tex]: Substitute [tex]\(x = \frac{1}{3}\)[/tex] into the function: [tex]\(F\left(\frac{1}{3}\right) = 12\left(\frac{1}{3}\right) + 12 = 4 + 12 = 16\).[/tex]

4. [tex]\(F\left(\frac{3}{4}\right)\)[/tex]: Substitute [tex]\(x = \frac{3}{4}\)[/tex] into the function: [tex]\(F\left(\frac{3}{4}\right) = 12\left(\frac{3}{4}\right) + 12 = 9 + 12 = 21\).[/tex]

5. F(k): Substitute x = k into the function: F(k) = 12k + 12.

6. [tex]\(F\left(\frac{a}{2}\right)\)[/tex]: Substitute [tex]\(x = \frac{a}{2}\)[/tex] into the function: [tex]\(F\left(\frac{a}{2}\right) = 12\left(\frac{a}{2}\right) + 12 = 6a + 12\).[/tex]

7. F(x-1): Substitute x = x-1 into the function: F(x-1) = 12(x-1) + 12 = 12x - 12 + 12 = 12x.

8. F(x+h): Substitute x = x+h into the function: F(x+h) = 12(x+h) + 12 = 12x + 12h + 12.

These are the values of the function for the given inputs.

Answer:

Hence correct choice is C. [tex]Volume=400[/tex] [tex]units^3[/tex]

Step-by-step explanation:

Given that length of the square base of the pyramid a = 10 units

Given that height of the pyramid is h = 12 units

Now question says to find the volume of the given cone.

So plug these values into formula of volume of the square pyramid.

[tex]Volume=\frac{1}{3} a^2h[/tex]

[tex]Volume=\frac{1}{3} (10)^2(12)[/tex]

[tex]Volume=\frac{1}{3} (100)(12)[/tex]

[tex]Volume=\frac{1}{3} (1200)[/tex]

[tex]Volume=400[/tex]

Hence correct choice is C.

Answer:

The correct answer is option C.  400 units³

Step-by-step explanation:

Formula:-

Volume of pyramid = (a²h)/3

Where a -  side of base

h - height of pyramid

From  the figure we can see a square pyramid

To find the volume of pyramid

here a = 10 units and h = 12 units

Volume = (a²h)/3 = (10² * 12)/3

 = 400 units³

He would have to make 10 visits at the ($12 per month + $4 each visit) gym to make the ($50 per month for unlimited visits) gym the cheapest option.

Explanation:

12 + (4 x 10) =

12 + (40) = $52

Answer:

He would have to use it more than 10 times in the month.

Step-by-step explanation:

4x+12>50

4x=38

x> 9.5

4(10)+12>50

52>50

Answer:

-0.9007 it would be D. if I'm right

Step-by-step explanation:

X Values

∑ = 34

Mean = 6.8

∑(X - Mx)2 = SSx = 140.8

Y Values

∑ = 54

Mean = 10.8

∑(Y - My)2 = SSy = 164.8

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = -137.2

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -137.2 / √((140.8)(164.8)) = -0.9007

Meta Numerics (cross-check)

r = -0.9007

Answer: Your answer is D. -0.901 !

The answer is:

The equation is:

[tex]Total(t)=5200*(2)^{t}[/tex]

It's an exponential growth problem, we can calculate the exponential growth using the following equation:

[tex]Total(t)=StartPopulation*(1+r)^{\frac{t}{2}}[/tex]

Where,

Total, is the total population after "t" time in days.

Start population, for this is equal to 5,200

r,is equal to the percent of growth, for this case it's 100% each day.

t, is the time elapsed.

So, rewriting the equation, we have:

[tex]Total(t)=5200*(1+\frac{100}{100})^{t}[/tex]

[tex]Total(t)=5200*(1+1)^{t}[/tex]

[tex]Total(t)=5200*(2)^{t}[/tex]

Have a nice day!

Answer:

h = 48

Step-by-step explanation:

So they played 48 home games. They won 3/4, so they won 36 and lost 12.  

They played 48 away games. They won 2/3, so they won 32 and lost 16.  

All tolled, they won 36 + 32 = 68 games and lost 12 + 16 = 28 games.

To calculate the percentage of home playoff games played by the Algenauts, we use a system of equations with the known win rates and number of games played. Solving, we find that approximately 71.43% of their playoff games were at home.

The student is asking about the percentage of home playoff games played by the Algenauts. The Algenauts won 3 division playoff games and then beat their rivals, the Geometers, with a score of 4-2. Given their win rates of 80% for home games and 60% for away games, we can calculate the percentage of games played at home using a system of equations.

Let H be the number of home games and A be the number of away games. Since the Algenauts played a total of 3 + 4 = 7 games, and won 3 + 4 = 7 games, we have the following equations:

H + A = 7 (total games)

0.80H + 0.60A = 7 (total games won)

Solving the system of equations, we get H = 5 and A = 2, meaning 5 out of the 7 games were played at home. Therefore, the percentage of home games is (5/7) * 100, which equals approximately 71.43%.

Answer:

t = 24 yards

Step-by-step explanation:

Since the trapezoids are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{t}{c}[/tex] = [tex]\frac{u}{d}[/tex]

Substitute in given values

[tex]\frac{t}{0.4}[/tex] = [tex]\frac{15}{0.25}[/tex] ( cross- multiply )

0.25t = 6 ( divide both sides by 0.25 )

t = 24

Answer:

Just finished test answer is 17

Step-by-step explanation:

The length of the side BC of the triangle ABC will be 17 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles triangle. Then the side AB is equal to the side AC. Then the value of 'x' is given as,

AB = AC

2x - 8 = x + 9

2x - x = 8 + 9

x = 17

The length of the side BC of the triangle ABC will be 17 units.

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Answer: 9/20

Step-by-step explanation:

Easy!!!

Answer:

C. 1/8

Step-by-step explanation:

This is because the number two goes into sixteen eight times. This is the simplest form of the fraction.

range: 85.

media: 12.

mean: about 52.4

HelllllofffffffHellloxsbshsvwiwhjwhauwvvehwhwhwuwawgwveiebwyw8wbwiwbwiabak

Answer:

f(x) = x3 + 3x2 − 4x − 12

Step-by-step explanation:

A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.

(x+3)(x+2)(x-2)

(x^2 + 3x + 2x + 6)(x-2)

(x^2 + 5x + 6)(x-2)

x^3 + 5x^2 + 6x -2x^2 - 10x - 12

x^3 + 3x^2 - 4x - 12

Answer:

(x,y) = (-2, 0)

and

(x,y) = (2.5, 2.25)

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equations.

Please see the attached image below, to find more information about the graph

s

The equations are:

y1 + 4 = x^2

y1 =  x^2 - 4

y2 - x = 2

y2 = x +2

The intersection of the two graphs correspond to

(x,y) = (-2, 0)

and

(x,y) = (2.5, 2.25)