(-3)^5 x (-3)^2 in single power

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}= a^{m+n}\\\\\\(-3)^{5}*(-3)^{2}=(-3)^{5+2}=(-3)^{7}[/tex]

Answer 2

Answer:

[tex]\Huge \boxed{\mathrm{(-3)^7}}[/tex]

Step-by-step explanation:

[tex](-3)^5 \times (-3)^2[/tex]

When bases are same for exponents in multiplication, the exponents are added.

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex](-3)^{5+2}[/tex]

Add the exponents.

[tex](-3)^7[/tex]


Related Questions

please help on 7 to be marked the brainliest

Answers

Answer:

  D)  3.57%

Step-by-step explanation:

The percentage change is given by ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%

__

When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.

-5x - 5y + 4x - (2y + 3)

Answers

Step-by-step explanation:

-5x - 5y + 4x - (2y + 3)

= - 5x + 4x - 5y - (2y + 3)

= - x - 5y - 2y - 3

= - x - 7y - 3 ( Answer )

Answer:

-x-7y-3

Step-by-step explanation:

distribute parentheses:

-(2y)-(3)= -2y-3

= -5x-5y+4x-2y-3

simplify

group like terms= -5x+4x-5y-2y-3

add similar elements= -x-5y-2y-3

add similar elements= -x-7y-3

Therefore, simplest expression is -x-7y-3

I hope this helps!!!

Which names accurately describe figure PQRS? Select three options.
parallelogram
pentagon
rectangle
rhombus
trapezoid

Answers

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

Answer:

heyooo i am here to clarify the answer is {parallelogram, rectangle and rhombus}

Step-by-step explanation:

in short, the answer is

A.

C.

D.

i hope you do good on your test !!

-cookie <3

what is the distance between the points ( - 1 , -3 ) and ( 5 , -2 )

Answers

Step-by-step explanation:

let the point A( - 1 , -3 ) and B( 5 , -2 )

here, x1 = -1; x2 = 5

y1 = -3; y2 = - 2

Now, the distance between A and B

[tex]AB = \sqrt{(x _{1} - {x}_{2} ) {}^{2} + (y _{1} - y _{2}) {}^{2} } [/tex]

[tex]AB = \sqrt{( - 1 - 5) {}^{2} + ( - 3 ( - 2) {}^{2} }[/tex]

[tex]AB = \sqrt{36 + 1} = \sqrt{37} [/tex]

Thus, The Distance between AB is

[tex] \sqrt{37} [/tex]



What is the upper quartile value of the data summarized on the box plot?
A) 30
B) 40
C) 95
D) 100

Answers

Answer:

95

Step-by-step explanation:

Solve the equation. x/8=0.625

Answers

Answer:

X = 5

Step-by-step explanation:

x in (-oo:+oo)

x/8 = 0.625 // - 0.625

x/8-0.625 = 0

1/8*x-0.625 = 0 // + 0.625

1/8*x = 0.625 // : 1/8

x = 0.625/1/8

x = 5

x = 5

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

x = 5

Step-by-step explanation:

[tex] \frac{x}{8} = 0.625[/tex]

First convert the decimal to an improper fraction

That's

[tex]0.625 = \frac{5}{8} [/tex]

So we have

[tex] \frac{x}{8} = \frac{5}{8} [/tex]

Multiply through by 8

That's

[tex]8 \times \frac{x}{8} = \frac{5}{8} \times 8[/tex]

We have the final answer as

x = 5

Hope this helps you

On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, negative 2) and continues up through (negative 5, 3) with an arrow instead of an endpoint. The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, negative 2) with an arrow instead of an endpoint. Which defines the piecewise function shown?

Answers

[tex]\bold{\text{Answer:}\quad f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]

Step-by-step explanation:

Find the equation of each line in Slope-Intercept form: y = mx + b

Line 1 passes through (-5, 3) and (0, -2)   -->   m = -1,  b = -2

                                                                   -->  y = -x - 2

Line 2 passes through (0, 0) and (4, -2)   -->   m = -1/2,  b = 0

                                                                   -->   y = -(1/2)x + 0

Now that you have the equations, evaluate which x-values are included.

Line 1: open dot at x = 0 and line goes to the left        -->  x < 0

Line 2: closed dot at x = 0 and line goes to the right   --> x ≥ 0

Now you have all the information you need to write the piecewise function:

                                [tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]

The piece wise function can be written as

[tex]f(x) = -x-2 \; for\; x < 0[/tex]

[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]

The Equation of line passing through  [tex](x_1,y_1)\; and \; (x_2,y_2)[/tex] can be given  by equation (1)

[tex]y -y_1 = \dfrac{y_2 -y_1 }{x_2 - x_1} (x-x_1) ........(1)[/tex]

The equation of line passing through (0,-2) and (-5,3) =

[tex]y-(-2) = \dfrac{3-(-2)}{-5-0}\times (x-0)[/tex]

[tex]y +2 = -x\\y = -x -2 ......(2)[/tex]

Similarly the line passing through (0,0) and (4,-2) =

[tex]y- 0 = \dfrac{-2 -0}{4-0} (x-0)\\y = \frac{-1}{2} x......(3)\\2y =-x \\x +2y =0[/tex]

The first line has an open circle at (0,  -2) and continues up through (-5, 3) with an arrow instead of an endpoint.

The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint. [tex]f(x) = \dfrac{-1}{2}x \; for\; x < 0[/tex]

Hence the piece wise function can be defined by equations (2) and (3)

[tex]f(x) = -x-2 \; for\; x < 0[/tex]

[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]

For more Information please refer to the link below

https://brainly.com/question/15435056

please help me on this i’ll mark u the brainliest

Answers

Answer:

            x = 14  

Step-by-step explanation:

(4x - 2)° + [180° - (7x - 3)°] + 41° = 180°

(4x)° - 2° + 180° - (7x)° + 3° + 41° = 180°

          +2°-180°-3°-41°                           +2°-180°-3°-41°

- (3x)° = - 42°    

  ÷(-3)       ÷(-3)

   x° = 14°

   x = 14

Pls help me ooo Pls it's urgent : Solve:a-(7-a)=5

Answers

Answer: a=6

Step-by-step explanation:

a-(7-a)=5

a-7+a=5

2a-7=5

2a=12

a=6 :)

Answer:

[tex]\Huge \boxed{a=6}[/tex]

Step-by-step explanation:

[tex]a-(7-a)=5[/tex]

We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.

Distribute the negative sign.

[tex]a-7+a=5[/tex]

Combine like terms.

[tex]2a-7=5[/tex]

Add 7 to both sides of the equation.

[tex]2a=12[/tex]

Divide both sides of the equation by 2.

[tex]a=6[/tex]

Find x.
help i have no idea

Answers

Answer:

18

Step-by-step explanation:

The triangle on the left is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

short leg  :   long leg   :    hypotenuse

    1           :     √3         :            2

The short leg of the left triangle is half the hypotenuse.

12√6 / 2 = 6√6

The long leg of the left triangle measures √3 times the short leg.

6√6 * √3

The triangle on the right is a 45-45-90 triangle.

The ratio of the lengths of the sides is:

short leg  :   long leg   :    hypotenuse

    1           :         1         :            √2

The length of the leg is the length of the hypotenuse divided by √2.

6√6 * √3 / √2 = 18

Please please please please help

Answers

Answer: x^2+4x+3

Step-by-step explanation:

f(g(x)) >>> replace the g(x) with the given information

f(x+2) >>> replace every (x) in the given f(x) with (x+2)

(x+2)^2-1 >>> foil it out

x^2+4x+4-1 >>> simplify

x^2+4x+3 >>> ANSWER!! :)

Solve for y.
4y - 4= 4.

Answers

Answer:

y=2

because 4x2 =8 then 8-4 equals to 4 which is what your trying to get

4y=4+4
4y=8
Y=2 the answer is y=2

A deep sea diver descends below the surface of the water at a rate of 60 feet each minute. What is the depth of the diver after 10 minutes.

Answers

Answer:

600 feet

Step-by-step explanation:

60 feet per minute

m = minute

60m

60(10)

600 feet

Approximately how much dirt is needed to fill a cone with a diameter of 6 in. and a height of 3 in.?​

Answers

Answer:

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Step-by-step explanation:

Given:

Diameter = 6 in

Radius (r) = 6 / 2 = 3 in

Height (h) = 3 in

Find:

Amount of dirt needed to fill the cone

Computation:

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)(3)(3)(3)

Volume of cone = 28.28 in³

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.49 and increases $0.09, what is the price of gasoline after the increase?

Answers

Answer:

$3.58

Step-by-step explanation:

Since the cost is increasing, you need to add the two values together.

$3.49 + $0.09 = $3.58

The price of gasoline after the increase is $3.58.

3 Which property can be used to expand the expression
[tex] - 2( \frac{3}{4} \times + 7)[/tex]

Answers

Answer: Distributive Property

Step-by-step explanation:

[tex]-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14[/tex]

Read the question and help me with that, please.​

Answers

Answer:

B. -1

Step-by-step explanation:

examples:

1 and -1

1/2 and -2

Answer:

B=-1

Step-by-step explanation:

diagonals are perpendicular line, the slope of perpendicular line are opposite reciprocal.

example if the slope line AC =3

the slope of BD=-1/3

-1/3*3=-1

Find the answer please

Answers

1st set = 4 letters

2nd set = 4x 4 = 16 letters

3rd set = 16 x 4 = 64 letters

4th set = 64 x 4 = 256 letters

5th set = 256 x 4 = 1,024 letters

6th set =1024 x 4 = 4,096 letters

7th set = 4096 x 4 = 16,384 letters

8th set = 16,384 x 4 = 65,536 letters

Each letter cost 2

Total cost = 65,536 x 2 = 131,072

what two numbers multiply to -18 and and add to -7

Answers

Answer:

2 and -9

Step-by-step explanation:

13 upon 5, 11 upon 6, 17 upon 8....write in decimal form​

Answers

Answer:

[tex]\large \boxed{\mathrm{see \ below}}[/tex]

Step-by-step explanation:

13 upon 5 is 13/5

13/5 in decimal form is 2.6

11 upon 6 is 11/6

11/6 in decimal form is 1.833333...

17 upon 8 is 17/8

17/8 in decimal form is 2.125

Solve the following equation.

3(5x+4)−20=13x−4

A. -2
B. 2
C. 8
D. 4

Answers

Answer:

B

Step-by-step explanation:

Hi!

3(5x+4)−20=13x−4                            

15x+12-20=13x-4                                         Distribute the 3 to the 5x and 4

15x-8=13x-4

2x-8=-4                                                        Subtract 13x from both sides

2x=4                                                             Add 8 to both sides

x=2                                                               Divide both sides by 2

So 2 is the answer :)

Calculate the area

Answers

[tex]A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}[/tex]

Answer:

[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]

Step-by-step explanation:

The adjacent side lengths and an angle is given.

We need to find the height of the parallelogram.

A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.

We can use trigonometric functions to solve for the height.

sin θ = opp/hyp

sin 63 = h/5

Multiplying both sides by 5.

h = 5 sin 63

h ≈ 4.45503262

Area of parallelogram = base × height

A = 8 × 4.45503262

A = 35.640261

A petroleum laboratory technician can perform 56 tests on samples in 7 hours. At this rate, how many of the same
tests could the technician perform in 8 hours?
49
57
64
105
120

Answers

Answer:

64

Step-by-step explanation:

56/7 = 8

8*8 = 64

64 tests

the answer is 64 because if you do the equation 7x=56 divide both sides by 7. you get x=8. therefore that means they do 8 tests every hour since they’re asking for how many tests in 8 hours. multiply 8x8 and you get 64

Find the total monthly cost of owning and maintaining a car given the information shown. Monthly car payment Monthly insurance cost Average cost of gasoline per month Average maintenance cost per month $274.96 $ 77.00 $ 89.20 $ 16.38​

Answers

Answer:

$457.54 total

Step-by-step explanation:

Just add the numbers altogether:

274.96

 77.00

 89.20

 16.38

$457.54 total

The required total monthly cost of owning and maintaining a car, given the information shown, is $457.54.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To find the total monthly cost of owning and maintaining a car, we need to add up the monthly car payment, the monthly insurance cost, the average cost of gasoline per month, and the average maintenance cost per month.

Adding these values, we get:

Total monthly cost = Monthly car payment + Monthly insurance cost + Average cost of gasoline per month + Average maintenance cost per month

= $274.96 + $77.00 + $89.20 + $16.38

= $457.54

Therefore, the total monthly cost of owning and maintaining a car, given the information shown, is $457.54.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

Jacques determines the remainder of −17x53+12x9−5x2−11x+1, using the remainder theorem. How does he proceed to the correct answer? A- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11. B- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −21. C- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −11. D- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −21.

Answers

Answer:

Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.

Step-by-step explanation:

Got 100% on the test.

solve by showing work -15 - (-12)

Answers

Answer:

-3

Step-by-step explanation:

-15 - (-12) = -15 + 12 = -3

The answer is -3 you can put tht in a calculator and it gives u the exact answer just btw

The deepest point of Lake Titicaca in South America is -922 feet relative to its surface. The deepest point is 11,542 feet above sea level. What is the elevation of the surface of the lake? Use absolute value to explain.

Answers

Answer: 12464 feet

Step-by-step explanation:

Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.

We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.

The deepest point is 11,542 feet above sea level.

That means, the elevation of the surface of the lake is the sum of 922 feet and  11,542 feet which is given by (922+ 11,542) feet =12464 feet

Hence, the elevation of the surface of the lake = 12464 feet

how many terms are in the equation 14x^2 - 12x + 5

Answers

Essentially any like term is a variable with the same letter at the end or the same letter and power.

In this equation, we are given:

a variable, a letter, and a powera variable, and a lettera variable

They are all different, so there are 3 different terms in the equation

Best of Luck!

if a square + b square + c square is equal to 50 and AB+ BC + CA equal to 3 find a + b + c ​

Answers

Step-by-step explanation:

Taking LHS of the identity:

(a + b +c)2

This can also be written as:

= (a + b + c) (a + b + c)

Multiply as we do multiplication of trinomials and we get:

= a(a + b + c) + b(a + b + c) + c(a + b + c)

= a2 + ab + ac + ab + b2 + bc + ac + bc + c2

Rearrange the terms and we get:

= a2 + b2 + c2 + ab + ab + bc + bc + ac + ac

Add like terms and we get:

= a2 + b2+ c2 + 2ab + 2bc + 2ca

Hence, in this way we obtain the identity i.e. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

what makes a great society in china

Answers

The opportunities you can find in there like jobs, making your own business, and education.
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