Evaluate the piece wise function

Answer:

-1 , -15

Step-by-step explanation:

| v + 8 | - 5 = 2

(add 5 both sides)

| v + 8 | = 7

(create two equations

v + 8 = 7          v + 8 = -7

(subtract 8 both sides)

v = -1     and    v = -15

Answer:

8

Step-by-step explanation:

I used a calculator

Answer:

19

Step-by-step explanation:

81/3=27

27-8=19

19

Answer:

12

Step-by-step explanation:

you can hop 12 times to the right

The distance between -4 and 8 on a number line is 12.

To find the distance between -4 and 8 on a number line, you can subtract the smaller number from the larger number. In this case:

Distance = |8 - (-4)|

To subtract a negative number, you can think of it as adding the absolute value of that negative number:

Distance = |8 + 4|

Now, perform the addition:

Distance = |12|

The absolute value of 12 is 12, so the distance between -4 and 8 on a number line is 12 units.

Hence, the distance between -4 and 8 on a number line is 12.

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Answer:

Step-by-step explanation:

From the diagram, it can be seen that  m EHF+ m GHF = mEHG

mEHG is a right angle, then mEHG = 90°

Given

m EHF = x

m GHF = 5x

Substituting the given parameters into the formula to get x;

x+5x= 90

6x = 90

Divide both sides by 6;

6x/6 = 90/6

x = 15

Hence the value of x is 15°

Since m EHF = x, therefore the numerical value of m EHF is 15°.

Also since m GHF = 5x, the numerical value of m GHF = 5(15) = 75°

Answer: 6

explanation: I just did it

Answer:

Step-by-step explanation:

Answer is 6

Answer:

13.5 miles or 27/5 miles

Step-by-step explanation:

2 7/10 is equal to 2.7  If she plans to run 5 times as much as last week, multiply 2.7 by 5.

2.7*5=13.5

Answer:

x=11/2

y=11√3/2

Step-by-step explanation:

This is a 30°-60°-90° triangle. So if we call the short side x, then the 2nd longest side will be x√(3), and the hypotenuse is 2x.

So here we have 11 as the hypotenuse. So:

11=2x ---> x=11/2 and y=x√3=11√3/2

You could also just take the sine and cosine of the sides using either angle as well. But this is a common ration of sides that is talked about in Math classes; especially Trig.

Edit: I missed the part where you said you wanted rounded answers. Just plug the values into a calculator and round as needed.

Step-by-step explanation:

(7-3)^2*(5-2)^3+4^2

=(4)^2*(3)^3+16

=16*27+16

=432+16

=448

Answer:

50 cars

Step-by-step explanation: 3x10 is 30 and 5x10 is 5

Answer: 11.70

Step-by-step explanation:

How to Write 3.15 or 315% as a Fraction?

Decimal    Fraction              Percentage

3.3               66/20                        330%

3.25         65/20                          325%

3.2                 64/20                            320%

3.15             63/20                             315%

3.1                   62/20                               310%

3.70588   63/17                          370.588%

3.5              63/18                                         350%

3.31579       63/19                                     331.579%

3              63/21                                         300%

Answer:

I think you would have to multiply 1,500 by 12 and also by 18 to figure it out.

Step-by-step explanation:

" "

Answer:

1) B

2) About 5°.

Step-by-step explanation:

1)

We can use the following co-function identity:

[tex]\sin(\theta)=\cos(90-\theta)[/tex]

Substitute A for θ:

[tex]\sin(A)=\cos(90-A)[/tex]

Since we know that sin(A) is 1/3, this means that cos(90-A) must also be 1/3.

So, our answer is B.

2)

Refer to the drawing.

Remember that 1-inch rise is a height of 1 while a 12 inch length is a length of 12.

So, to find the maximum ramp angle, we simply need to find the value of x.

We know the sides opposite and adjacent to x. So, we can use tangent:

[tex]\tan(x)=\text{opp}/\text{adj}[/tex]

Substitute 1 for the opposite side and 12 for the adjacent side:

[tex]\tan(x)=1/12[/tex]

Take the inverse tangent of both sides:

[tex]x=\tan^{-1}(1/12)[/tex]

Use a calculator. Make sure you're in Degrees mode:

[tex]x\approx4.76\textdegree\approx5\textdegree[/tex]

So, the maximum ramp angle should be about 5°

Answer:

2 out of 5 chance of being red

Step-by-step explanation:

Answer:

36 + 54 v

Step-by-step explanation:

Answer:

36+54v

Step-by-step explanation:

times 6x6 and 6x9 then put in the v

Answer:

  no solution

Step-by-step explanation:

add 4k to both sides of the equation and you have ...

  18 = -10  . . . .  false

There is no value of k that will make this statement true. There is no solution.

Answer:

- 2, - 4, - 6, -8

Step-by-step explanation:

If the first term of the arithmetic sequence is is -2 , and the common difference is -2, then we can generate the first four terms the following way:

a1 = - 2

a2 = - 2 - 2 = - 4

a3 = - 4 - 2 = - 6

a4 = - 6 - 2 = - 8

Answer:

third choice the independent variable is the amount of water given, dependent is the height of the plant

Answer: Lenayah's presentation was 12 minutes long.

Step-by-step explanation:

Answer:

a = 4, b = 5

Step-by-step explanation:

Given the exponential function

f(x) = a[tex]b^{x}[/tex]

Use the given points to find a and b

Using (0, 4 ) , then

4 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus

a = 4 , so

f(x) = 4[tex]b^{x}[/tex]

Using (1, 20 ) , then

20 = 4b ( divide both sides by 4 )

b = 5

Answer:

180°

Step-by-step explanation:

The diagram for this question has been attached to this response.

From the diagram;

(i) ∠2 and ∠6 are equal since they are corresponding angles. This implies that the measure of angle 2 (m∠2) is equal to the measure of angle 6 (m∠6). i.e

m∠2 = m∠6       ---------(a)

But m∠2 = 40°

Substitute this into equation (a) as follows;

40° = m∠6

∴ m∠6 = 40°

(ii) ∠1 and ∠2 are supplementary. This implies that the sum of the measures of angle 1 (m∠1) and angle 2(m∠2) is equal to 180°. i.e

m∠1 + m∠2 = 180°      ------------------(b)

But m∠2 = 40°

Substitute this into equation (b) as follows;

m∠1 + 40° = 180°

m∠1 = 180° - 40°

m∠1 = 140°

(iii) The measure of ∠1 + ∠6 is given by;

m∠1 + m∠6

Substitute the values of m∠1 = 140° and m∠6 = 40° into the expression to get

m∠1 + m∠6 = 140° + 40°

m∠1 + m∠6 = 180°

Therefore the measure of  ∠1 + ∠6 is 180°

Answer:

[tex]\displaystyle \frac{10}{17}[/tex]

Step-by-step explanation:

Fraction Simplifying

We are given the ratio 2 Km:3400 m. This can be written in fraction form as:

[tex]\displaystyle \frac{2\ km}{3400\ m}[/tex]

Since 2 Km = 2000 m:

[tex]\displaystyle \frac{2\ km}{3400\ m}=\frac{2000\ \not{m}}{3400\ \not{m}}[/tex]

We need to simplify the fraction:

[tex]\displaystyle \frac{2000}{3400}[/tex]

We cancel out two zeroes, which is like dividing both numbers by 100:

[tex]\displaystyle \frac{20\not{0}\not{0}}{34\not{0}\not{0}}[/tex]

The remaining fraction is:

[tex]\displaystyle \frac{20}{34}[/tex]

Dividing both by 2:

[tex]\displaystyle \frac{10}{17}[/tex]

Since the denominator is a prime number, no more simplifying is possible, thus the given ratio is equivalent to:

[tex]\boxed{\displaystyle \frac{10}{17}}[/tex]

Answer:

y = x/2 - 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

2y - x = -8

Step 2: Solve for y

Add x to both sides: 2y = x - 8

Divide both sides by 2: y = x/2 - 4

Answer:

thousands

Step-by-step explanation:

Answer:

The answer would be the Thousands place.

Step-by-step explanation:

The order goes like this.

ones

tens

hundreds

thousands

ten-thousands

one hundred-thousands

millions

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