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Answer: 2 inches

Step-by-step explanation:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

Answer:

14.379

Step-by-step explanation:

1. Line up from left to right

2. Make sure that the decimals are lined up

3. Add the thousandths and hundredths with 0

4. Add 3 in the tenths place

5. Add up 9 and 5 to make 14

*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*

Answer:

9.079

+5.300

_______

14.379

Step-by-step explanation:

Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079

   +5.3   because your decimal will be in the wrong spot and your answer will come out wrong

Answer:

open bracket

7j - 35 = 14

7j = 14 + 35

7j = 49

divide thru by 7

7j / 7 = 49 / 7

j = 7

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:95

Step-by-step explanation:

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

Answer:

160.13

Step-by-step explanation:

you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150

Answer:

you need a calculator for the answer

Answer:

[tex]P(2)=(32,46)[/tex]

Step-by-step explanation:

From the question we are told that:

Height of robot [tex]h=12 inches[/tex]

Weight of robot [tex]W=4[/tex]

Start position [tex]P(1)=(4,4)[/tex]

Per minute distance [tex]d=(4,6)[/tex]

Total time [tex]T=7min[/tex]

Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by

 [tex]d_T=d*T[/tex]

 [tex]d_T=(4.6)*7[/tex]

 [tex]d_T=(28,42)[/tex]

Generally the position of the robot after 7 minutes is  mathematically given by

 [tex]P(2)=P(1)+d_T[/tex]

 [tex]P(2)=(4,4)+(28,42)[/tex]

 [tex]P(2)=(32,46)[/tex]

Therefore the position of the robot after 7 minutes is

 [tex]P(2)=(32,46)[/tex]

Answer:

92°÷^®√™÷√÷^π^π^^π^π°π°^÷

Answer:

$125

Step-by-step explanation:

if there was a discount of 20%, the sales price is 100 - 20 = 80% of the original price

let a = original price

this equation can be used to represent the question

a x 0.8 = 100 ]]divide both sides by 0.8

a = 100 / 0.8 = 125

Answer:

33 feet.

Step-by-step explanation:

If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion

5.5/3 = x/18 and cross multiply to find x.

5.5 × 18 = 99

3 × x = 3x

3x/3 = x, 99/3 = 33.

x = 33.

Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

Answer:

508.68

*sorry if this is late

Step-by-step explanation:

Divide 36 by 2 to get radius

Multiply 18 by itself to get 324

Multiply 324 by 3.14 to get the area of a circle

Divide it by 2 to get the area of the semi circle

Answer:

the right answer is

tan D=80/18

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]x+2y=18[/tex]

Rearrange this equation into slope-intercept form (this will make it easier for us to identify the slope)

Subtract x from both sides to isolate 2y

[tex]x+2y-x=-x+18\\2y=-x+18[/tex]

Divide both sides by 2 to isolate y

[tex]y=-\frac{1}{2} x+9[/tex]

Now, we can see clearly that [tex]-\frac{1}{2}[/tex] is in the place of m. Because parallel lines have the same slope, [tex]-\frac{1}{2}[/tex] is therefore the slope of the line we're currently solving for. Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

[tex]y=-\frac{1}{2} x+b[/tex]

Plug in the point (8,-7)

[tex]-7=-\frac{1}{2} (8)+b\\-7=-4+b[/tex]

Add 4 to both sides

[tex]-7+4=-4+b+4\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=-\frac{1}{2} x+b[/tex]:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

Answer: Diameter = 4 cm

Step-by-step explanation:

20π = (π)(r^2)(5)

divide by 5 * π

4 = r^2

find the square root of both sides

2 = r

2 * 2 = d

4 = d

Answer:

Right scalene

Step-by-step explanation:

The triangle has a right angle, but no sides are equal.

Answer:

The triangle is a right scalene triangle.

Step-by-step explanation:

If any angle is marked by a little square like in the triangle's bottom left corner, that means the angle is 90° or a right angle. Since none of the angles in the triangle are equivalent, that means the right triangle is a scalene triangle. So the correct choice is a right scalene triangle.

Answer:

No

Step-by-step explanation:

7 3/4 x 3 = 22 1/2

Answer:

50% increase

Step-by-step explanation:

4050-2700 = 1350

1350/2700 = 0.5

Convert to a percentage:

0.5*100 = 50

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{4}{6}[/tex]

[tex]\text{Probability}=\dfrac{2}{3}[/tex]

In decimal form, it can be written as:

[tex]\text{Probability}\approx 0.67[/tex]

In percentage form, it can be written as:

[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]

[tex]\text{Probability}\approx 66.67%[/tex]

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.

Answer: 30 degrees

Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.

Answer:

It has 5 terms

Step-by-step explanation:

Terms are the numbers or values in a equation, so this Equation has 5 terms

x + 5y - 17 - 2y + x.

1. x

2.5y

3.17

4. 2y

5.x  

(I listed the terms)

Answer:

C

Step-by-step explanation:

Process of elimination

Answer:

ok hiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

Option C, No real solutions

Hope this helps!

Answer:

The answer is "Option C".

Step-by-step explanation:

The graph of the even function will have both ends pointed in the same direction, while the graph of the odd function will have both ends pointed inside the reverse way. Furthermore, as the y-axis approaches, and also regular expression graph becomes symmetric. The graph of an unusual function, on either hand, is symmetric around the origin and also has rotational symmetry around the origin. They could see that the graph of function g meets a function requirement by looking at it. That graph of function f, but on the other hand, is not symmetric about its y-axis, implying that function f is not even. As both a result, g is a function that is even.

Answer:

Only function g is given

Step-by-step explanation:

Answer:

Erin

Step-by-step explanation:

I believe Erin is right in this case.