Evaluate 5x3 - 2 + 7 when x= -2.

Answers

Answer 1

Answer:

-995

Step-by-step explanation:

5(-2)^3 - 2 + 7

first you would multiply the 5 by -2

(-10)^3 - 2 + 7

then the exponents

-1000 - 2 + 7

then you would subtract -1000 by 2

-1002 + 7

then add the 7

-995


Related Questions

In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th

Answers

Answer:

  58.0 units

Step-by-step explanation:

In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.

  C = 180° -A -B = 180° -72° -16°

  C = 92°

The law of sines tells us ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)

  a ≈ 58.0 . . . . units

Written expression for the sum of d and 9

Answers

Hey!!

Here's your answer:

Answer:d+9

Hope it will help you....

Good luck on your assignment

For Zoey's lemonade recipe, 7 lemons are required to make 14 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade

Answers

Answer:

1 lemon = 2 cups of lemonade

Step-by-step explanation:

represents the
Which equation best
relationship between x and y shown in
the table?

Answers

Answer:

Step-by-step explanation: It’s C, So you just plug it in basically. y = 4x + 1, for example let’s use the third column y = 4(2) + 1, equals 9. You just repeat it in all the other columns and you equal y. So it’s C, y = 4x + 1

Please help quickly !!!!!!

Answers

Answer:

You should be able to figure this out from the explanation below.

Step-by-step explanation:

When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:

Look at the diagram below for more understanding of the concept.

Answer: 77 degrees

Step-by-step explanation:

Use Theorem "measure of the angle is the average of the measures of the arc

(a=b+c/2)

a=x

b=76

c=78

Set up your equation, X=76+78/2

=77

Hope this heeelps~!!

-Michiko

Estimate the product :23. 8 × 349

Answers

Answer:

8400

Step-by-step explanation:

Round them to their nearest whole:

23.8 x 349

24 x 350

We then use what we rounded and answer...

24 x 350 estimated to 8400

Answer:

6000

Step-by-step explanation:

23.8 - 20

349 - 300

20 times 300 = 6000

a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?

Answers

Answer:

2/5

Step-by-step explanation:

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

Answers

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that [tex]r = 0.16[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = V(0)(1-0.16)^{t}[/tex]

[tex]V(t) = V(0)(0.84)^{t}[/tex]

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

[tex]V(t) = V(0)(0.84)^{t}[/tex]

[tex]0.5V(0) = V(0)(0.84)^{t}[/tex]

[tex](0.84)^{t} = 0.5[/tex]

[tex]\log{(0.84)^{t}} = \log{0.5}[/tex]

[tex]t\log{0.84} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.84}}[/tex]

[tex]t = 3.98[/tex]

The half life of the car is 3.98 years.

The fraction, in hundredths,that is equivalent to 9/10

Answers

Answer:

9/10 is equivilent to 0.900

Step-by-step explanation:

How much is 3 times 4

Answers

Answer:

3×4 = 12!

TWO WAYS TO LOOK AT IT:

(A) 3 groups of 4!

(B) 4 groups of 3 apples!

What is the quotient of 38 and 23?

Answers

Answer:

im not sure if your doing it by 38 dividend by 23 but i got 1.652174.......idk really im doing the same question lol.

Step-by-step explanation:

In a right triangle, the measure of theta = 43 degrees and the side opposite to the measure of theta is 6.5 cm long. The length of the side adjacent to the measure of theta is approximately

Answers

We have been given that in a right triangle, the measure of [tex]\theta = 43^{\circ}[/tex] and the side opposite to the measure of theta is 6.5 cm long. We are asked to find the length of adjacent side to the angle theta.

We know that tangent relates opposite side of right triangle adjacent side.

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{tan}(43^{\circ})=\frac{6.5}{\text{Adjacent}}[/tex]

[tex]\text{Adjacent}=\frac{6.5}{\text{tan}(43^{\circ})}[/tex]

[tex]\text{Adjacent}=\frac{6.5}{0.932515086138}[/tex]

[tex]\text{Adjacent}=6.9703966[/tex]

[tex]\text{Adjacent}\approx 6.97[/tex]

Therefore, the length of adjacent side to angle theta is approximately 6.97 units.

it took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?

Answers

Answer:

3 1/2 houses

Step-by-step explanation:

To find the unit rate we must divide 4 by 10

4 hours divided by 10 house = 1/4

1/4 houses per hour

8 hours times 0.4= 3.2 houses

Answer:

20 houses

Step-by-step explanation:

Let’s make a proportion using this setup:

houses/hours=houses/hour

We know that 10 houses can be cleaned in 4 hours. We don’t know how many houses can be cleaned in 8 hours, so we can say x houses can be cleaned in 8 hours.

10 houses/4 hours= x houses/8 hours

10/4=x/8

Now we have to solve for x, by getting x by itself. Perform the opposite of what is being done to both sides.

x is being divided by 8. The opposite of division is multiplication, so multiply both sides by 8

8(10/4)=(x/8)8

8(10/4)=x

8(2.5)=x

20=x

20 houses can be cleaned in 8 hours.

Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) affected the heart rate of overweight and non-overweight adolescents differently. A group of 22 adolescents, 10 classified as overweight and 12 as not overweight played DDR for 12 minutes, during which time the researchers measured each participant's heart rate. Which statistical test should the researchers use to analyze their data?A) independent-samples t testB) dependent-samples t testC) z testD) single-sample t test

Answers

Answer:

dependent-samples t test

Step-by-step explanation:

Here we want to test the effect of game Dance Dance Revolution (DDR) on heart rate.

The hypothesis is

[tex]H_0:\mu_d=0 vs H_a:\mu_d\neq 0[/tex]

where,

[tex]\mu_d=\frac{\sum di}{n} di = Xi-Yi[/tex]

Where Xi =  heart rate before playing the game Dance Dance Revolution (DDR)

Yi = heart rate after playing the game Dance Dance Revolution (DDR)

This test is paired t-test( dependent sample t test).

To measure the effect of experiment. (before - after condition)

Looking at Morningstar’s Financial Health ratios, what has happened to HP’s liquidity position over the past 10 years?

Liquidity/Financial Health
2010-10
2011-10
2012-10
2013-10
2014-10
2015-10
2016-10
2017-10
2018-10
2019-10
Latest Qtr

Current Ratio
1.10
1.01
1.09
1.11
1.15
1.23
0.98
1.00
0.85
0.80
0.73

Quick Ratio
0.78
0.58
0.79
0.80
0.83
0.92
0.69
0.68
0.55
0.53
0.48

Financial Leverage
3.07
3.35
4.85
3.88
3.86
3.85






Debt/Equity
0.38
0.58
0.97
0.60
0.60
0.78




Answers

Answer:

Step-by-step explanation:

Huh lol ok

Can someone help me with is

Answers

Answer:

It is not equivalent

Step-by-step explanation:

Because the first expression simplified is 3x with the power of 9, and the first expression simplifies to x with a power of 9.

Answer:

No, they are not equivalent.

Step-by-step explanation:

In the case of the first expression: x³ * x³ * x³, you will solve the power first, before multiplying the whole numbers.

However, in terms of the second one, you are multiplying the powers first, and then solving for the power.

Take for example, x = 2. Plug in 2 for x in the expressions given:

x³ * x³ * x³ = 2³ * 2³ * 2³ = 8 * 8 * 8 = 64 * 6 = 512

However,

2^(3 * 3 * 3) = 2^(27) = 134,217,728

~

PLEASE HELP
( velocity - on a graph )

Answers

Answer:

a) v_avg = k

b) 0.034 km/h

Step-by-step explanation:

a) The average velocity is given by the displacement over the time:

[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex]   (1)

Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:

S1 = 30k

S2 = 20k/2 = 10k

Then, the total surface is:

S = S1+S2 = 50k

The average speed is:

v_avg = (50k)/(50s)= k

b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:

S=50k=1.7km

k=(1.7km)/(50k)=0.034km/h = 34 m/h

What’s the correct answer for this?

Answers

Answer:

a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units

Center (h,k) = (-3 ,4) and radius 'r' = 10

Step-by-step explanation:

Step(i):-

Given circle equation is

  [tex]2 x^{2} +12 x+2 y^{2} -16 y-150 =0[/tex]

Dividing "2' on both sides, we get

[tex]x^{2} +6 x+ y^{2} -8 y-75 =0[/tex]

Step(ii):-

now

[tex]x^{2} +2(3x) + (3)^{2}-(3)^{2} +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0[/tex]

by using (a+b)² =a²+2 a b+b²

              (a-b)² =a²-2 a b+b²

[tex](x+3)^{2}-(3)^{2} +(y-4)^{2}-(4)^2 -75 =0[/tex]

[tex](x+3)^{2}-9 +(y-4)^{2}-16 -75 =0[/tex]

[tex](x+3)^{2} +(y-4)^{2}-100 =0[/tex]

[tex](x+3)^{2} +(y-4)^{2}=100[/tex]

[tex](x+3)^{2} +(y-4)^{2}=(10^2)[/tex]

by comparing

[tex](x-h)^{2} +(y-k)^{2}=(r^2)[/tex]

Final answer:-

Center (h,k) = (-3 ,4) and radius 'r' = 10

ill used 5⁄6 cup of flour and 1⁄3 cup of sugar. How much more flour than sugar did Jill use in her recipe?

Answers

Answer:

5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!

Answer:

1/3 x 2/2 = 2/6

5/6 - 2/6 = 3/6

3/6 / 3/3 = 1/2

1/2 more flour than sugar

Hope this helps. If you have any questions you can ask.

Step-by-step explanation:

Which inequality has -25 in its solution set?
A. y + 11 > -9
B. y - 17 Less-than-or-equal-to -46
C. 30 Less-than-or-equal-to y + 5
D. y + 20 > -30

Answers

Answer: The answer is D: y + 20 > -30

Step-by-step explanation:

I got this right on edgen.

Have a good day!! #BLM <3

Excuse me can you help me to resolve this (×+5) (4x-3)=0

Answers

Answer: x = 3/4 x = -5

Step-by-step explanation:

x+5=0

x=-5

4x-3=0

Add three to both sides

4x = 3

x=3/4

help fast timed plss!!

Answers

Answer:

Top to Bottom:

2nd Parallelogram

2nd Trapezoid

Triangle

1st Parallelogram

1st Trapezoid

Step-by-step explanation:

1. Trapezoid: 40

2. Triangle: 30

3. Parallelogram: 32

4. Trapezoid: 28

5. Parallelogram: 24

P.S. Sorry I took to Long

Find the range, mean, media and mode for 75,60,75,100,75,75,75,95,60,65

Answers

Answer:

Range: 40

Mean: 75.5

Median (a.k.a. media): 75

Mode: 75

Step-by-step explanation:

1) Put the numbers in order

60 , 60 , 65 , 75 , 75 , 75 , 75 , 75 , 95 , 100

2) Find the range

To find the range, you subtract the largest number from the smallest number. In this case, it those are 100 and 60 respectively.

100-60 = 40 which means the range is 40.

3) Find the mean

To find the mean, you add all the numbers together and then divide that by the number of numbers. So...

60 + 60 + 65 + 75 + 75 + 75 +75 + 75 + 95 + 100 = 755

755/10 = 75.5

*You divide by 10 because there are 10 numbers*

That means your mean in 75.5.

4) Find the median (a.k.a. media)

To find the median, you must find the number that is in the middle when the numbers are in order.

In this case, we have two numbers in the middle 75 and 75. To find the median we must add these two numbers together and then divide by 2.

75 + 75 = 150

150/2 = 75

That means the median is 75.

5) Find the mode.

To find the mode, you must find the number(s) that appear the most. In this case, that would be 75 as it appears five times in this number set.

That means the mode is 75.

I hope this helps!

can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,

Answers

ORDER FROM LEAST TO GREATEST:

-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.

Hey there!

When we have negative numbers, we might count like this: ....-5,-4,-3,-2,-1,0,1,2,3....

As you can see, the negative number is known as greater if it is closer to zero, so -1 is greater than -100.

With this information, let's order these numbers! :)

-10,-9,-8,-7,-6,-5,-4,0,2,9,10

I hope that this helps!

Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?

Answers

Answer:

[tex] 240 =5x +115[/tex]

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

And now we can divide both sides by 5 and we got:

[tex] x= 25[/tex]

So then the number of hours spent to decorate the house are 25

Step-by-step explanation:

Based on the information given we can model this function with this formula:

[tex] y = mx+b[/tex]

Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:

[tex] 240 =5x +115[/tex]

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

And now we can divide both sides by 5 and we got:

[tex] x= 25[/tex]

So then the number of hours spent to decorate the house are 25

Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.

Answers

Answer:

a number x is multiplied by 4 then increased by 2

Step-by-step explanation:

4x+2

Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below. In January she used 3/5 of the amount of oil that she used in February Fill in the amount of oil that Jackie used in January in the table below

Answers

Answer: 2/5

Step-by-step explanation:

A quadrilateral has 4right angles and 2 pair of opposite sizes that are parallel. What quadrilateral could be

Answers

Answer:

parllelogram

Step-by-step explanation:

............

The graph for the equation y = negative x + 2

On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0).

If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?

A) y = negative 2 (x minus 1)
B) y = negative (x + 2)
C) y = negative one-fourth (4 x minus 8)
D) y = negative one-half (x + 4)

Answers

Answer:

It Is The 3rd Choice, Y = -1/4( 4x - 8)

Step-by-step explanation:

This Is Becuase -1/4 times 4x is -1x which is negative x. Then -1/4 times -8 is 2.

Do not listen to the answer below it is wrong.

Answer:

C

Step-by-step explanation:

I got it right on edge

PLEASE HELP?

Which of the following inequalities is true according to the number line?

Answers

Answer:

a

Step-by-step explanation:

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