please help
Find the volume of each prism. Round to the nearest tenth if nessary ​

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Given equation:

[tex]4(x+4)-10=14[/tex]

Add 10 to both sides:

[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]

Divide both sides by 4:

[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]

Subtract 4 from both sides:

[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]

Therefore, the solution is [tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.

Simplify the left hand side as needed to determine the "x" variable.

Subtract 6 both sides to isolate the "x" variable and it's cooeficient.

Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.

Thus, the value of x is 2.

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

[tex]x = \frac{2x + 8}{x} [/tex]

[tex] {x}^{2} = 2x + 8[/tex]

[tex] {x}^{2} - 2x - 8 = 0[/tex]

[tex](x - 4)(x + 2) = 0[/tex]

[tex]x = 4[/tex]

or

[tex]x = - 2[/tex]

The best way to describe the center of the data represented in this line plot include the following: the median is 2.5 inches.

In Mathematics, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Since the data set representing the amount of rainfall has an outlier, the median would be best way to describe the center of the data represented in this line plot.

First of all, we would sort the 10 observations from the least to greatest as follows:

1, 1, 2, 2, 2, 3, 3, 5, 6, 7

Median = (2 + 3)/2

Median = 5/2

Median = 2.5 inches.

Read more on median here: brainly.com/question/452652

#SPJ1

Answer:

1. False

2. Not sure

3. True

Statement A

A = bh/2

34 = (10)h/2

68/10 = h

h = 6.8

FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.

Statement B

A = (d1 + d2)/2

56 = (d1 + d2)/2

112 = d1 + d2

I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.  

Statement C

A = (a + b)(h)/2

24 = (7 + 9)(3)/2

48 = (7 + 9)(3)

16 = 7 + 9

16 = 16

TRUE Area of the trapezoid = 24 in².

The function represents a decay of 88.97% per unit increase in x.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:

a is the initial value or the value of the function when x = 0

b is the base or the factor by which the function changes for each unit increase in x

Comparing this form to the given function, we can see that:

a = 8600

b = 0.11

To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.

In this case, the base (0.11) is between 0 and 1, so the function represents decay.

To determine the percentage rate of decrease, we can use the formula:

Percentage change = (new value - old value) / old value * 100%

Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:

y(1) = 8600(0.11)¹ = 946

Plugging in these values, we get:

Percentage change = (946 - 8600) / 8600 * 100% = -88.97%

Therefore, the function represents a decay of 88.97% per unit increase in x.

To learn more about percentage from the given link:

https://brainly.com/question/29306119

#SPJ1

Answer:

Angle A = 47⁰

Step-by-step explanation:

Angle A = Angle B { equal sides have equal angles. }

so,

4x + 7 = 5x - 3

7 + 3 = 5x - 4x

10 = x

so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰

Answer:

-8.05E14

Step-by-step explanation:

If you arent familiar with E notation it means the same thing as [tex]10^x[/tex] where x is the number proceeding the E

Answer: 3/4 is 75%

Step-by-step explanation: Since his fav number is 36 the half of 36 is 18 bc 18 + 18 is 36

Answer: the answer is b

Step-by-step explanation:

Domain and ranges of inverse functions are swapped.

Domain of the original is the range of the inverse and vice versa.

Answer:

₹ 40.50

Step-by-step explanation:

Cost of 20 articles = ₹ 90

Cost of 1 article = ₹ 90/20

Cost of 9 article = 9 x 90/20 = ₹ 40.50

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

To learn more about distance between 2 points click :

https://brainly.com/question/12661159

#SPJ7

The system of equation that models the problem is as follows;

x + y = 83

1.73x + 1.44y = 130.83

The number of fruit pies sold is 44 and the number of fruit juice sold is 39.

Mr Sanchez class sold fruit pies for $1.73 each and Mr Kelly's class sold bottles of fruit juice for $1.44 each.

Therefore,

let

x = number of fruit pies sold

y = number of fruit juice sold

Together, the class sold 83 items. Therefore,

x + y = 83

They sold a total of $130.83. Therefore,

1.73x + 1.44y = 130.83

x + y = 83

1.73x + 1.44y = 130.83

1.73x + 1.73x = 143.59

1.73x + 1.44y = 130.83

0.29x = 12.76

x = 12.76 / 0.29

x = 44

Therefore,

y = 83 - 44

y = 39

learn more on system of equation here: https://brainly.com/question/13958134

Answer:

the answer is -4

Step-by-step explanation:

you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.

Answer:

5 3/4 cups.

Step-by-step explanation:

Subtract the two amounts.

6 5/8 - 7/8

Make 6 5/8 an improper fraction by multiplying the 8 and 6 then adding 5.

8 x 6 = 48

48 + 5 = 53

53/8

53/8 - 7/8 = 46/8

Convert back into a mixed number by dividing.

46/8 = 5 6/8

reduce the fraction

5 3/4

Answer:

probability=events over the sample space

Step-by-step explanation:

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

a total of 11700 senconds are on 3.25 hours

Answer:

F. None of these

Step-by-step explanation:

A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.

Answer:

The answer would be 201.06

Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!

Answer:

200.96 mi²

Step-by-step explanation:

Before, finding the area of the circle, first, let us find the radius.

Given that,

diameter ( d ) ⇒ 16 mi

Let us use the below formula to find the radius of the circle.

d = 2r

16 = 2r

Divide both sides by 2.

8 mi = r

And let us find the area of the circle using the below formula.

A = π r²

A = π × 8 × 8

A = 3.14 × 64

A = 200.96 mi²

[tex]f(y) = y^3-by^2+by+3b\\\\\text{Since 50y+150 is a factor of f(y), }\\\\~~~~~f\left ( -\dfrac{150}{50}\right) = 0 \\\\\implies f(-3)=0 \\\\\implies (-3)^3 -b(-3)^2+b(-3)+3b =0\\\\\implies -27-9b-3b+3b=0\\\\\implies -27-9b =0\\\\\implies 9b = -27\\\\\implies b = -\dfrac{27}9\\\\\implies b = -3[/tex]

It looks like the starting integral is

[tex]\displaystyle \int_{-11}^{11} \int_0^{\sqrt{121-x^2}} dy\,dx[/tex]

The key is recognizing the domain of integration as the semicircle centered at the origin with radius 11. In polar coordinates, this integral transforms to

[tex]\displaystyle \boxed{\int_0^\pi \int_0^{11} r \, dr \, d\theta}[/tex]

The dimensions to maximize the area must be:

The rectangle with the largest area that can be inscribed on a circle of radius 3, will be a rectangle whose diagonal is equal to the diameter of the circle, so we have:

√(x + y) = 6 units.

Where x and y are the dimensions of the rectangle. We also must have that:

Now, because we have limits, the largest area (which is the product of x and y) happens when x and y have the same value x = y, then we have:

√(x + x) = 6 units.

√(2x) = 6 units.

x = (√3)/2 = y

So the rectangle is actually a square of side length =  (√3)/2

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

Answer:

HOPE IT HELPS!

MARK AS BRAINLIAST.

Answer:

-10 x 4 = -40

-21 x 5 = -105

-20 x 9 = -180

-199 X 1 = -199

[tex]x^2 -5x +6 =0\\\\\implies x^2 -3x -2x +6 = 0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-3)(x-2)=0\\\\\implies x =3, ~ x = 2[/tex]

Answer:

The value of x = 2 or 3

Step-by-step explanation:

By factorisation ,

=> x² - 5x + 6 =0

=> x² - 3x - 2x + 6 = 0

=> x ( x-3 ) -2 ( x-3 ) = 0

=> (x-2) (x-3) = 0

so, the value of x = 3 or 2

answer:

[tex]\frac{4}{9}[/tex]

explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

[tex]\frac{16}{36} = \frac{4}{9}[/tex]

--

if this helped, please consider giving brainliest !

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

Given:

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft