Find the volume of the figure below.

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Answer:

x = 3

Step-by-step explanation:

Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:

The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:

f(x) = -4x + 2

-10 = -4x + 2

Subtract 2 from both sides:

-10 - 2 = -4x + 2 - 2

-12 = -4x

Divide both sides by -4 to solve for x:

[tex]\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }[/tex]

x = 3

Hence, when x = 3, f(x) = -10.  

Substitute the value of x = 3 into the original function:

f(x) = -4x + 2

f(3) = -4(3) + 2

f(3) = -12 + 2

f(3) = -10  ⇒  f(x) = -10.

Therefore, the input value of x = 3 gives an output value of f(x) = -10.

Answer:

.44 or 11/25

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

2/9 divided by 1/2 can be changed to multiplication by using the inverse of the fraction you are divining by, which makes 2/9 times 2/1, or 2/9 times 2, which is 4/9

Answer:

Not a parallelogram.

Step-by-step explanation:

By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:

[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].

A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.

The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.

Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:

[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].

Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].

Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.

Answer:

Step-by-step explanation:

Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.

Aslan of course would get the right answer. It's direct and it does give the right answer.

Lucy also did it correctly.

Jack is the only one who will not get it right.

Answer:

Step-by-step explanation:

Wind, friction and terrain (flat versus hilly) all oppose motion of the bike.  Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).

Answer:

Step-by-step explanation:

It's a lot greater. If you take 0.4% of some number and the answer is 76, you better be starting with something that is very large. The formula will make the solution automatic.

Formula

Let the number be x

0.4% x = 76

0.4% = 0.4/100

0.4 / 100 * x = 76            Multiply both sides of the equation by 100

0.4x = 76*100                Combine the right.

0.4x = 7600                  Divide by 0.4

x = 7600/0.4

x = 19000                       Which is quite a bit larger than 76

Answer:

greater than 76

Step-by-step explanation:

hope it will help goodbye

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

The table of the ordered pairs and the graph is plotted.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.

We have the function as -

f(n) = 15n+10.

We can create a table as follows -

[n]         f[n]

1            25

2           40

3           55

4           70

5           85

Refer to the graph of the function f(n) = 15n+10 attached.

Therefore, the table of the ordered pairs and the graph is plotted.

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X is the input.

Three times the input would be 3x

Increased by two would be adding two at the end.

Answer: B. y = 3x + 2

Based on the cost of each bottle, the better deal is the 16 ounce size and the amount saved per ounce is $0.03

The first step is to find the cost per ounce of each bottle.

For the 16 ounce bottle:

= 2.10 / 16

= $0.13 per ounce

For the 20 ounce bottle:

= 3.15 / 20

= $0.16

The 16 ounce size is therefore better and the amount saved per ounce is:

= 0.16 - 0.13

= $0.03

In conclusion, the 16 ounce is better as it saves $0.03 per ounce.

Find out more at https://brainly.com/question/16805756.

Answer:

m is -3/2

c is -5/2

Step-by-step explanation:

The standard linear equation is given by;

[tex]{ \tt{y = mx + c}}[/tex]

» m is the slope and c is the y-intercept

Then, our slope is;

[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

[tex]\theta = x[/tex]

[tex]Hypotenuse = 58[/tex]

[tex]Opposite = 32[/tex]

To determine the measure of angle x, we simply make use of the following sine ratio.

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(x) = \frac{32}{58}[/tex]

[tex]\sin(x) = 0.5517[/tex]

Take arc sine of both sides

[tex]x = \sin^{-1}(0.5517)[/tex]

This gives

[tex]x = 33.5[/tex]

Hence, the approximated value of x is 33.5 degrees

Read more about right-angled triangles at:

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Answer:

Neither statement is correct

Step-by-step explanation:

Khan

Answer:

Neither statement is correct

Step-by-step explanation:

Answer on Khan Acadmey

Answer:

Step-by-step explanation:

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

The distance after x seconds is:

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

The distance after x seconds is:

After 15 seconds the distance from the start line is:

As we see Sam is further from the start line than Alice

The original number of spoons is 958

Let the total number of spoon be x.

The first day, 25 spoons were removed.

So, the remaining spoon (r) is:

[tex]r =x -25[/tex]

15% of the remaining spoon were used.

So, we have:

[tex]15\% \times r =15\% \times (x -25)[/tex]

This 15% represents 140 spoons.

So, the equation becomes

[tex]15\% \times (x -25) = 140[/tex]

Express 15% as decimal

[tex]0.15 \times (x -25) = 140[/tex]

Divide both sides by 0.15

[tex](x -25) = 933[/tex]

Remove brackets

[tex]x -25 = 933[/tex]

Add 25 to both sides

[tex]x= 958[/tex]

Hence, the original number of spoons is 958

Read more about proportion at:

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Answer:

-12.4444444443

Step-by-step explanation:

BODMAS rule :

Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

16/3 = 5.33333333333

24-5.33333333333 = 18.6666666667

-2/3 = -0.66666666666

-0.66666666666 x 18.6666666667 = -12.4444444443

Answer:

sqrt 52

Step-by-step explanation:

use the pythagorean thereom

side a - 4

side b - 6

to find the hypotenuse, simply square both sides.

4² + 6²

4 x 4 = 16

6 x 6 = 36

add these two together

you should get 52.

After finding the combined side length, find the inverse operation of squared.

The inverse operation is the square root.

So find the square root of 52.

√52 = 7.21110255

round to the nearest tenth.

the answer should be 7.2

But to keep it in radical form the answer is sqrt 52

The value of x is 2√13.

With the help of Pythagoras theorem, we will find the value of x.

Therefore, the value of x is 2√13.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

y= -4x+8

Step-by-step explanation:

y-y1= m(x-x1)

y-4 = (-4)(x-1)

y-4 = -4x+4

y = -4x+4+4

y = -4x+8

Answer:

base = 6.8 in

Step-by-step explanation:

area of triangle = 1/2 base height

where height = 4.4 in

              area = 14.96 in²

plugin values into the formula

14.96 = 1/2 base (4.4)

base = 14.96 (2)

               4.4

base = 6.8 in

Answer:

502.655

Step-by-step explanation:

The actual answer was 502.655

Answer:

24mph

Step-by-step explanation:

convert 20 mins and 30 mins to hrs by dividing by 60

4/(20/60)=12

6/(30/60)=12

12+12=24

Cyclist's average speed is 12 mph.

Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.

It can also be defined as the rate of change of position of anything in any direction.

Speed is a scalar quantity as it does not have direction.

Total distance travelled by the cyclist = 4 miles + 6 miles

                                        = 10 miles

Total time taken by the cyclist = 20 minutes + 30 minutes

                                                  = 50 minutes

We need the average speed in mph or miles per hour.

We know that,

60 minutes = 1 hour

1 minute = 1/60 hour

50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour

                   = [tex]\frac{5}{6}[/tex] hour

Average Speed = Total distance travelled / Total time taken

                          = 10 miles / (5/6) hour

                          = 10 × [tex]\frac{6}{5}[/tex]

                          = 12 miles per hour

Hence the average speed of the cyclist is 12 miles per hour.

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Answer:

Please check the formatting when posting.  I'm assuming these are the equations:

y=x^2 - 2

y=−x

Step-by-step explanation:

We can either graph the equations or solve them.  I use graphing - see the attachment.  The lines intersect at (-2, 2) and (1,-1)

1.  Graphing

See attached graph

(-2, 2) and (1,-1) are the intersection points

2.  Solving

y=x^2 - 2  Use y=−x in this equation:

-x = x^2 - 2

0 = x^2 + x - 2

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

x = -2 and +1

(-2, 2) and (1,-1) are the intersection points

Answer:

2 years

Step-by-step explanation:

1) principle:$5000

Rate : 10%

S.I = $1000

Therefore length of time =

S.I x 100 divided by Principle x rate

= 1000 x 100 divided by 5000 x 10

Answer= 2 years.

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