Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.

Answers

Answer 1

Answer:

just did this on a test and it was

The exponent 3 is an odd number.

Step-by-step explanation:

Answer 2

Hince the statements which justify it:

The base -2 is a negative number.

The exponent 3 is an odd number.

Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2

Because the base, -2, is a negative number.

When an odd number of negative numbers are multiplied together, the result is always negative.

In this case, there are three negative numbers (-2 x -2 x -2),

Which is an odd number, resulting in a negative answer.

However, since the base is negative, the result will always be negative for any odd exponent.

Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.

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Related Questions

What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units

Answers

Answer:

C) Distance =5 units

Step-by-step explanation:

[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]

Using the formula for the distance between two points, it is found that the distance between points A and B is given by:

C) 5 units.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are A(1,1) and B(5,4), hence:

[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]

Hence option C is correct.

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A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks

Answers

35m is the answer to the problom        

Answer:

the correct answer is 13

Step-by-step explanation:

i got it correct on the test, hope this helps:)) !

Explain how I would rewrite 3^5 * 3^-4 as a base an exponent

Answers

Answer:

3^1 or 3

3^5 * 3^-4 are 3^5-4

so, 3^1!

Hope it helps!

Answer:

3^1

Step-by-step explanation:

Since the bases are the same and we are multiplying we can add the exponents

a^b * a^c = a^(b+c)

3^5 * 3^-4

3^ (5+-4)

3^1

the graph of y=f(x) is shown below. find all the values of x where f(x)=1

Answers

positive 3 is the correct answer

When you substitute the value of x = 3, you get f(x) = 1.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here the given graph of y = f(x) is shown.

When you substitute the value of x = 3, you get f(x) = 1.

Hence, you can get f(x) = 1 by substituting the value of x = 3

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You invest $4,000 in a savings account. The account pays 3% annual interest. How
much money will be in the savings account after 9 years?
$5,124.33
$6,003.45
$4,938.29
$5,219.20

Answers

Answer:

$5219.20

Step-by-step explanation:

4000 × (1+(3 / 100))^9

5219.20







That’s what I got

Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?

A. 204

B. 17

Answers

Answer:

So.. I believe the answer is 17

Step-by-step explanation:

In order to get your answer, you would first multiply 38*12 which is 456

Then you would get that number (456) and divide it by 7,752

So 7,752/456 is 17

The answer to this is B

Find the number of four-digit numbers which are not divisible by 4?

PLEASE HELP ASAP!!!

Answers

Answer:

i dont see the numbers

Step-by-step explanation:

Answer:

6750

Step-by-step explanation:

The first four-digit number divisible by 4 is 1000.

The last four-digit number divisible by 4 is 9996.

Modeling this as an arithmetic sequence, the nth term is:

a = 1000 + 4(n − 1)

So the number of terms is:

9996 = 1000 + 4(n − 1)

8996 = 4(n − 1)

2249 = n − 1

n = 2250

There are 2250 four-digit numbers that are divisible by 4.  Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.

A fish fank was 3/4 full, and then 1/3 of the water leaked out,
5) How full was the fish tank after the water leaked out?
6) If there was 20 gallons of water left in the fish tank after the water leaked out,
how many gallons of water does the fish tank hold when it is full?

Answers

Answer:

5) It was 5/12 of the way full

6) It holds 48 gallons.

Step-by-step explanation:

For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.

For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.

Hope this helps!!

Answer:

5/12 When the water leaked out.

48 Gallons when full.

Hope this Helps!

Find the mean of the data in the pictograph below.

Answers

Answer:

10.5

Step-by-step explanation:

Answer: 10.5


Explanation: just use a mean calculator lol

Someone pls help me i forgot how to do this . Thank you sm !!

Answers

Answer:

1.x=-5 2.t=1/2 3.x=20

Step-by-step explanation:

all simple algebra first and second is simple subtraction

the third involves division as  well

Answer:

Here are the answers:

1) -5

2) 1/2

3) 20

Hope I helped)))

Pls mark brainliest

Find x: 50*5x=5000

A) 25
B) 20
C) 50
D) 75

Answers

Answer:

[tex]\huge\boxed{B) x = 20}[/tex]

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

Which data set could be represented by the box plot shown below?

Answers

Answer:

16

Step-by-step explanation:

The correct answer is 16

What does y equal -3=15+4y

Answers

Answer:

-3 = 15+4y

4y = 12

y = 3.......

y=-5 the answer is that

The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about

healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US

Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in

the state of Virginia.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you

think these estimates are close to the truth about the entire population? Explain. (6 points)

Answers

Answer:

Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.

Part B: No

Step-by-step explanation:

Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.

Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.

Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths

Answers

It equals ten and eight forge

Answer: The answer is c

Step-by-step explanation:

Which data set could be represented by the box plot shown below?

Answers

Answer:

Step-by-step explanation:22

The answer is would be

22

Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.

Answers

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Yes ^^ they are correct I’ve answered this before



Write the equation in terms of a rotated x'y'-system using the angle of rotation. Write the equation involving x' and y' in standard form.

19x2 + 241/3 xy - 5y2 - 527 = 0; 0 = 30°

Answers

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?

Answers

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

ANSWER(20000)........


The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer:

[tex]\frac{1}{8}[/tex] is the slope, and the percent grade of this is 12.5%.

Step-by-step explanation:

The slope of any linear equation is always rise over run.

Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is

[tex]\frac{8}{64}[/tex] which simplifies to [tex]\frac{1}{8}[/tex], so  [tex]\frac{1}{8}[/tex] is the slope.

To find the percent grade, we find the decimal version of  [tex]\frac{1}{8}[/tex] and multiply by 100.

[tex]1\div8 = 0.125\\0.125\cdot100 = 12.5[/tex]

Hope this helped!

Answer:

Slope = 1/8

Grade = 12.5%

Step-by-step explanation:

Hey there!

Well if the rise/run is 8/64

then the slope is 8/64,

8/64

simplified

1/8 is the slope

The decimal grade is 1/8 as a percent so,

1 ÷ 8 = .125

Move the decimal place 2 times to the right,

12.5% is the decimal grade

Hope this helps :)

can somewon help me plx

Answers

Answer:

[tex]\boxed{392in^2}[/tex]

Step-by-step explanation:

Hey there!

Well to find SA we need to find the area of the rectangles.

So lets do the top rectangle,

6*6 = 36

Now lets do the the left rectangle,

10*6 = 60

Now lets do the far right one,

6*4 = 24

Now lets do the second highest rectangle,

4*6 = 24

Now lets do the rectangle facing the right side,

6*6 = 36

Now we can do the bottom rectangle,

6*10 = 60

Now lets do the 2 facing front and back,

6*10 = 60

4*4 = 16

60+16 = 76

76*2 = 152

Now we can add everything,

152 + 60 + 36 + 24 + 24 + 60 + 36

= 392 in^2

Hope this helps :)

The answer is 392in. Squared

Which property is shown by -6 + 0 = -6? A. Commutative Property of Addition B. Identity Property of Addition C. Distributive Property D. Associative Property of Addition

Answers

Answer:

C

Step-by-step explanation:

It is c because you are adding. the 6 and o.

Answer:

Would be C.

Step-by-step explanation:

Just adding the 6 and the 0 basically.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which equation is correct and can be used to solve for the value of z? StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction

Answers

Answer:

[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Step-by-step explanation:

The sine rule states that for a triangle angles ∠A, ∠B, ∠C and the sides opposite to the respective angles are a, b and c. This formula holds:

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

From the diagram attached given that ∠Y = 51° and the side opposite to ∠Y is 2.6, ∠Z = 76° and the side opposite ∠Z is z. Using sine rule to find z this formula is used:

[tex]\frac{sin(Y)}{y} =\frac{sin(Z)}{z} \\\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Answer:

A

Step-by-step explanation:

Edg 2020

On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi

Answers

Answer:

i think the answer is a. 25

There, hope it helps :)

The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?

Answers

Answer:

[tex]\boxed{x=8y^2-16y-68}[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The answer to this question is x = 8y^2 - 16y -68

what is -4 as a fraction

Answers

Answer:

-4/1

Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.

The answer should be -2/5

The sum of 6 even integers is 130 what is the 2nd number in the sequence

Answers

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

2 (100/12) + 2
______________

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.

Answers

Answer:

  B, D

Step-by-step explanation:

If you're going to make claims about the graph, it is helpful to see a graph (attached).

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

A function assigns the values. The statements that are true about the given function are B and D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Here, we have,

To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.

A.) The vertex form of the function is f(x)=(x-2)²+2.

To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².

Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².

B.) The vertex of the function is (-3, -13).

As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.

C.) The axis of symmetry for the function is x = 3.

As the vertex is at -3, therefore, the function symmetry will be about x=-3.

Hence, the given statement is false.

D.) The graph increases over the interval (-3).

The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).

E.) The function does not cross the x-axis.

It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.

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Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.


A) reflect triangle a across the y-axis and then translate triangle a 5 units down.  B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.  
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin. 
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin

Answers

Honestly I’m not for sure but I’m think it’s either a or b

The triangle is shifted 4 units downwards and then is rotated about the origin.

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.

Given are triangles A and B.

Transformation 1 : The triangle is shifted 4 units downwards.

Transformation 2 : The figure is rotated about the origin.

Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.

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Find the value of y and x.

Answers

Answer:

x = 130°y = 65°

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

The answer for this is y= 65 degrees and x= 130 degrees
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