Write your answer as a power.

Write Your Answer As A Power.

Answers

Answer 1

Answer:

8

Step-by-step explanation:

2 times 4 is 8

Answer 2

Step-by-step explanation:

remember, when multiplying the same base with different exponents, we add the exponents.

when putting exponents to the power of exponents, we multiply the exponents (as simplified shortcut of all the additions we would actually have to do).

((-3)²)⁴ = (-3)⁸

in "slow motion" :

((-3)²)⁴ = (-3)²×(-3)²×(-3)²×(-3)² = (-3)^(2+2+2+2) = (-3)⁸

(-3)² = 9

9⁴ = 6561

(-3)⁸ = 6561


Related Questions

A tank contained 1.5 litres more water than a pail. Swee Leng transferred 300 millilitre of water from the pail to the tank. Now the tank contains 4 times as much water as the pail. How many litres of water were there in the tank at first?​

Answers

Answer:

i think so 4.32 L

7x+8=-5x+32 can someone tell me what x is pls

Answers

Answer:

x =12

Step-by-step explanation:

combine like terms 32+ = -8 = 24 then divide 2x on each side  24/ 2x  which simipfy to 12

7x+8=-5x+32
+5x +5x
12x+8=32
-8 -8
12x= 24

÷12 ÷12
X=2

PLEASE HELP IM FAILING GEOMETRY HELPPPP

Answers

Answer:

473.145 in squared

Step-by-step explanation:

Trick reminder: the top of the cylinder does not need to be calculated because it is the same as the negative part of the rectangle beneath.

20.25*3.14 = 63.585

6*28.26 = 169.56

10*10 = 100

10*3.5*4 = 140

63.585 + 169.56 + 100 + 140 = 473.145

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

3 1/2

Step-by-step explanation:

the letter j is HALFway between four and three so it is 3 1/2

which fractions are equivalent to the value of 2/10 + 20/100? drag and drop the fractions into the box.

Answers

Lets see

2/10+20/1002/10+2/102+2/104/102/5

Sarah drives at a speed of 70 miles per hour.
How long will it take to drive 385 miles?

Answers

Answer:

5.5 Hours

or

5 Hours 30 Minutes

Step-by-step explanation:

Dirving speed = 70 mph

Distance = 385 miles

To find: Time

Formula relating speed, distance and time is given as: [tex]Time =\frac{Distance}{Speed}[/tex]

[tex]\implies Time =\frac{385}{70}[/tex]

[tex] \implies Time = 5.5\: hours [/tex]

[tex]\implies \red{\boxed{\bold{Time = 5\: hours\: 30\: minutes}}}[/tex]

What is the value of "a" in the following quadratic? (Make sure the equation is in
standard form: ax² + bx+c=0)
x^2 + 28 = -11x

Answers

Answer: a= - [tex]\frac{b}{x}[/tex]- [tex]\frac{c}{x2}[/tex]

Step-by-step explanation:

1. Move all terms not containing [tex]\alpha[/tex] to the right side of the equation.

[tex]\alpha[/tex][tex]x^{2}[/tex]=-bx-c

2. Divide each term in [tex]\alpha x^{2}[/tex]=-bx-c by [tex]x^{2}[/tex] and simplify.

a= - [tex]\frac{b}{x}[/tex] - [tex]\frac{c}{x^{2} }[/tex]

A quarterback throws a football with a velocity of 42 mph and a direction of 172°. The wind on the field is 13 mph with a direction of 345°. What are the true speed and direction of the football? Round the speed to the thousandths place and the direction to the nearest degree.

Answers

The true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7⁰ respectively.

How to find the Relative velocity of the football?

The true speed and direction of the football is determined by applying the concept of relative velocity.

Vr/w = Vb - Vw

where;

Vr/w is the velocity of the football with respect to the wind

Vb is the velocity of the football

Vw is the velocity of the wind

Vr/w = 42 mph - 13 mph = 29 mph

The direction speed can be determined by a triangle

Direction of the speed, θ = (360 - 345) - (180 - 172)

                                      θ = 15 - 8 = 7⁰

Resultant speed;

[tex]R^2 = 42^2 + 13^2 - 2(42 \times 13 \times cos7)\\\\R^2 =849.139\\R = \sqrt{849.139}\\R = 29.139 mph[/tex]

Thus, the true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7⁰ respectively.

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Answer:

29.140 ; 175

Step-by-step explanation:

find the center and radius

Answers

Answer:

centre = (0, 0 ) , radius = 2

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 4 ← is in this form

with centre (0, 0 ) and r = [tex]\sqrt{4}[/tex] = 2

Help me this pls as soon as possible this is due today!!!

Answers

Answer:

you can find the given attachment

Craig is constructing weights of different sizes to use in his home gym. One such weight is a solid steel sphere with a radius of 3.5 inches. The density of steel is 0.284 pounds per cubic inch. What is the approximate
mass of the spherical weight?
A. 51 pounds
B. 77 pounds
C. 15 pounds
D. 44 pounds

Answers

The approximate mass of the spherical weight is 51 pounds

To answer the question, we need to know what the mass of the sphere is

Mass of the sphere

The mass of the sphere m = ρV where

ρ = density of steel = 0.284 lb/in³ and V = volume of sphere = 4πr³/3 where r = radius of sphere = 3.5 in

So, m = ρV

= ρ4πr³/3

Substituting the values of the variables into the equation, we have

m = ρ4πr³/3

= 0.284 lb/in³ × 4π(3.5 in)³/3

= 0.284 lb/in³ × 4π × 42.875 in³/3

= 48.706π lb/3

= 153.014 lb/3

= 51 lb

The approximate mass of the spherical weight is 51 pounds

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Alguien me ayuda? Who can help me?

Is for my litte brother

es para mi hermano pequeño

Answers

The solving of the fractions simply shows that the value of 1 2/3 + 3 1/2 is 5 1/6.

How to solve the fraction?

The first fraction give is:

= 1 2/3 + 3 1/2

= 1 4/6 + 3 3/6

= 4 7/6

= 4 + 1 1/6

= 5 1/6

Also 3/4 - 5/7 will be:

= 3/4 - 5/7

= 21/28 - 20/28

= 1/8

It should be noted that when solving fractions, it's important to have a common denominator.

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Example a) Name the vertex of the angle. b) Name the sides of the angle. c) Give three ways to name the angle. d) Classify the angle.​

Answers

Answer:

OBtuse <

Step-by-step explanation:

Jerry, skyler and kyle were measuring the tank (cylinder) for storing water tower on the hill. working together jerry and skyler determine the circumference was approximately 295.3 feet. kyle measured the height to be about 40 feet. what is the potential volume of the tank?

Answers

If the radius of the cylinder is 47 feet. Then the volume of the cylinder will be 277,450.4 cubic feet.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Jerry, Skyler, and kyle were measuring the tank (cylinder) for storing the water tower on the hill.

Working together jerry and Skyler determine the circumference was approximately 295.3 feet.

Kyle measured the height to be about 40 feet.

Then the volume of the cylinder will be

Volume = πr²h

Then the value of r will be

We know the circumference. Then the radius will be

295.3 = 2πr

       r = 47 ft

Then we have

Volume = π x 47² x 40

Volume = 277,450.4 cubic ft

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Simplify the expression.
5² (5³ · 5²)
The value of the expression is

Answers

[tex]5^2(5^3 \cdot 5^2)\\\\=5^{2+3+2}\\\\=5^7\\\\=78125[/tex]

Answer:

5^7 or 78125

Step-by-step explanation:

5^2 (5^3 x 5^2)

This is the 5^2 is the same thing as 5x5 while 5^3 is the same as saying 5x5x5, when we evaluate these equations we get a new formula:

= 25 ( 125 x 25)

now we simplify.

= 25 (3125)

= 78125

1. Given O B and marked angle measure.
Find MZADC and find the measure of AC
с
135°
D
B
А

Answers

Step-by-step explanation:

angle ADC = angle ABC / 2

= 135/2 = 67.5°

AC = 2r * sin (62.5)

AC = 1.84r

r is the radius of circle

Which results only in a horizontal compression of Y =
by a factor of 6?
1
O y = 6x
O y= 6x
6
O Y =
X
o
y = -2
6
y=-
х

Answers

Answer:

B

Step-by-step explanation:

The sum of two numbers is 29 and their difference is 13.
Set up two equations by letting x and y be the two numbers.

Use x as the larger of the 2 numbers.

sum equation:
difference equation:

Answers

Answer:

Sum equation: x + y = 29

Difference equation: x - y = 13

Solve the following equations:
[tex]1.\sqrt{5x+4}-1=2x[/tex]
[tex]1) \ 3\sqrt{x-1 }+11=2x[/tex]

Answers

[tex]\large\displaystyle\text{$\begin{gathered}\sf 1. \ \sqrt{5x+4} -1=2x \end{gathered}$}[/tex]

The root of the equation is solved first. Afterwards, both members of the equality are squared, the powers are developed and it is solved.

     [tex]\large\displaystyle\text{$\begin{gathered}\sf \sqrt{5x+4}=2x+1 \Longrightarrow 5x+4=(2x+1)^2 \end{gathered}$}[/tex]

           [tex]\large\displaystyle\text{$\begin{gathered}\sf 0=4x^2 +4x+1-5x-4 =4x^2-x-3 \\ &= 4\left(x^2-\dfrac{1}{4}-\dfrac{3}{4} \right)\\ &=4\left(x-1\right)\left( x+\dfrac{3}{4}\right) \end{gathered}$}[/tex]

                                           [tex]\large\displaystyle\text{$\begin{gathered}\sf x_1=1 \qquad x_2=-\dfrac{3}{4} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf 2. \ 3\sqrt{x-1}+11=2x \end{gathered}$}[/tex]

The root of the equation is cleared. Then, both sides of the equality are squared, the powers are developed and it is solved by the general formula.

               [tex]\large\displaystyle\text{$\begin{gathered}\sf 3\sqrt{x-1}=2x-11 \Longrightarrow 9(x-1)=(2x-11)^2 \end{gathered}$}[/tex]

            [tex]\large\displaystyle\text{$\begin{gathered}\sf 0=4x^2 -44x+121 -9x+9 =4x^2-53x+130 \end{gathered}$}[/tex]

 

   [tex]\large\displaystyle\text{$\begin{gathered}\sf x_{1,2}=\dfrac{53\pm \sqrt{(-53)^2-4(4)(130)}}{2(4)}=\dfrac{53\pm \sqrt{2809-2080}}{8}\\ &=\dfrac{53\pm \sqrt{729}}{8} = \dfrac{53\pm 27}{8}; \end{gathered}$}[/tex]

         

                               [tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} \ \ \ \ \ \ x_{1}=\dfrac{53+ 27}{8} \qquad &\ \ \ \ \ x_2=\dfrac{53 - 27}{8}\\ x_1=\dfrac{80}{8} \qquad &\ \ x_2=\dfrac{26}{8}\ \ \ \\ x_1=10 \qquad &x_2=\dfrac{13}{4} \end{matrix} \end{gathered}$}[/tex]

4x + 90 find the value of x

Answers

Answer:

x = -22.5

Step-by-step explanation:

Assuming 4x + 90 = 0

4x + 90 = 0

4x = -90

-90/4 = -22.5

Paper towel rolls are covered with a plastic wrapper. How much plastic would be needed to cover the paper towel roll shown below?

Answers

The area of a 2D form is the amount of space within its perimeter. The plastic that would be needed to cover the paper towel roll is 263.76 in².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The plastic that would be needed to cover the paper towel roll is equal to the surface area of the paper towel roll, therefore, the surface area is,

Total surface area = (2πrl) + 2(πr²)

                              = (2×π×3×11) + 2(π×3×3)

                              = 66π + 18π

                              = 263. 76 in²

Hence, The plastic that would be needed to cover the paper towel roll is 263.76 in².

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Let A = -4k+ 3 and B = 3k +17. If A = B, then what is the value of k?​

Answers

Answer:

k=-2

Step-by-step explanation:

Using substitution to find what you're missing, (in this case k) is when you plug each letter into the other equation:

-4k+3=3k+17

So now solve for k:

subtract 3 from both sides...

-4k=3k+14

subtract 3k from both sides to combine with -4k...

-7k=14

divide -7 from both sides...

k=-2

How many 1/2 cup servings are there in a3/4 cup of cereal?

Answers

Answer:

1 and a half

Step-by-step explanation:

There is one full half cup in a 3/4 cup.  A half of a half is a fourth and there is still one more fourth left so 1/2 plus 1/4 is 3/4.

Azeyah wants to buy a wooden rod to install curtains on the window of his room. The area of the window is ( 4x²+2x-12 ) cm². If the window's height is ( 2x+4 ) cm, what is the length, in cm, of the wooden rod required?
Pls help ASAP ​

Answers

Answer:

(2x - 3)  cm

Step-by-step explanation:

Area of window = height × length

Given:

Area = (4x² + 2x - 12)   cm²Height = (2x + 4)  cm

To find the length of the window, factor the expression for Area.

Factor  [tex]4x^2+2x-12[/tex]:

Find 2 two numbers that multiply to the product of the leading coefficient and the constant (4 × -12 = -48) and sum to the coefficient of the middle term (2):  -6 and 8

Rewrite the middle term as the sum of these 2 numbers:

[tex]\implies 4x^2-6x+8x-12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x-3)+4(2x-3)[/tex]

Factor out the common term (2x - 3):

[tex]\implies (2x+4)(2x-3)[/tex]

Therefore, the length of the window is (2x - 3)  cm

(2x-3)cm

Answer:

Solution given:

height =2x+4

length=?

Area of window =(4x²+2x-12)cm²

we have

length*height =Area

length*(2x+4)=4x²+2x-12......(1)

Firstly let factorize 4x²+2x-12

taking common 2(2x²+x-6)

doing middle term factorization 2(2x²+4x-3x-6)

=2(2x(x+2)-3(x+2))

=2(x+2)(2x-3)

substituting it in equation 1

length*(2x+4)=2(x+2)(2x-3)

length*2(x+2)=2(x+2)(2x-3)

length =2x-3 cm

The length of window is (2x-3)cm

A large cone is cut into two parts, a smaller cone and a frustum of a cone.
The height of the large cone is 20 cm.
The height of the smaller cone is 4 cm.
The radius of the base of the large cone is 6 cm.
The radius of the base of the smaller cone is 4 cm.
Workout the volume of the frustum.​

Answers

given:

radius of small cone= 4 cm

radius of large cone= 6 cm

height of small cone= 4 cm

height of large cone= 20 cm

solution:big:

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20[/tex]

[tex]v = 753.98 \: {cm}^{3} [/tex]

small:

[tex]v = \frac{1}{ 3 } \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 4[/tex]

[tex]v = 67.02 \: {cm}^{3} [/tex]

frustum:

[tex]v = 753.98 - 67.02[/tex]

[tex]v = 686.96 \: {cm}^{3} [/tex]

volume of smaller cone:

[tex] = 67.02 {cm}^{3} [/tex]

volume of larger cone:

[tex] = 753.98 {cm}^{3} [/tex]

frustum:

[tex] = 686.96 {cm}^{3} [/tex]

HELP ASAP PLEASE
WILL MARK AS BRAINLIST IF YOU SOLVE THESE TWO QUESTIONS
The picture is for question 2 not 3

Question 2
How many paths are there from A to B if you must travel along the lines moving up and right only?

Question 3
In my backyard there are chickens and cows (no other animals). Among them there is a total of 366 eyes and 558 legs. How many
chickens do I have in my backyard?


Answers

2.                                                                                                                   Answer: 35

Step-by-step explanation:

4x3 grid so 4!= 24 and 3!= 6                                                                        4+3=7 so 7! = 5040     now     7!/4!*3!=35.                            

Complete the factorization of 3x2 – 5x 2. which two factors can be multiplied together to make this trinomial? (x – 2) (x – 1) (x 1) (3x – 2) (3x 2)

Answers

The factorization of the given polynomial is:

p(x) = (x - 2/3)*(x - 1) = (1/3)*(3x - 2)*(x - 1)

How to factorize the polynomial?

We have:

[tex]p(x) = 3x^2 - 5x + 2[/tex]

First, we need to find the two roots for the equation, then we use Bhaskara's formula to get:

[tex]x = \frac{5 \pm \sqrt{5^2 - 4*3*2} }{2*3} \\\\x = \frac{5 \pm 1}{6}[/tex]

So the two solutions are:

x = (5 + 1)/6 = 1

x = (5 - 1)/6 = 4/6 = 2/3

Then the polynomial can be written as:

p(x) = (x - 2/3)*(x - 1)

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Answer: (3x -2) and (x-1)

Step-by-step explanation:

Just took the test

Lessons are 55 mins long, a history lesson ends at 3:30 pm at what time does the lesson start

Answers

Answer:

2:35 pm

If an hour is 60 minutes, what we know is that 30 minutes is half. However, we must subtract 55 from 30 (In time)

To make this easier, subtract 55 by actual 30, and split 55 into 2 parts, the result of subtraction, and the other value, 30

[tex]55-30=25[/tex]

Now, subtract.

[tex]3:30 - 30 = 3:00[/tex]

[tex]3:00-25=35[/tex]

If this is the case, the lesson must have started at 2:35 pm

From the diagram shown, find the measurement of the indicated angle.​

Answers

Answer:

x = 50°

Step-by-step explanation:

The three angles of any triangle always add up to 180°. Here, we have a 40° and a right angle. Right angles are always 90°.

To find the value of x, find the sum of the two other angles.

90 + 40 = 130°

Since we know that all angles add to 180, we can conclude the following:

x + 130 = 180

x = 50°

Hope this helps

what are all the factor parts of 15

Answers

Answer:

1,3,5,15

Step-by-step explanation:

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