Which equation correctly shows that (x^2)^4=x^8?

Answer:

c y=1/2x+40

because it's positive (up). /

Answer:

Katie will catch up to Susan after running 33.4 h.

Step-by-step explanation:

We can find the time that takes Katie to catch up to Susan by using the following equation:

[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]

Where:        

[tex] x_{f_{k}} [/tex]: is the final position of Katie

[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0

[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h

a: is the acceleration = 0 (she is moving at constant speed)

t: is the time

Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.

[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]

[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]

Since Susan gets a 45 minutes head start, in that time she traveled the following distance:      

[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]

So, this will be the initial position of Susan.

[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]

Hence, the time will be:

[tex] 5.2t = 6.67 + 5t [/tex]              

[tex] t = 33.4 h [/tex]                

Therefore, Katie will catch up to Susan after running 33.4 h.

I hope it helps you!            

Answer:

9 and ,-7 , -4

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

Answer:

9 and ,-7 , -4

Step-by-step explanation:

Answer:

Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

Answer:

10 * 5 / 2 = 25 cm

Step-by-step explanation:

Hope this helps

Answer:

25 cm² is the answer ..... my sister

Answer:

C.

Step-by-step explanation:

It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

------------------------------

Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

---------------------------

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

-----------------------------

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

Answer:

4x(2x+1)

Step-by-step explanation:

8x^2+4x

x(8x+4)

4x(2x+1)

Answer:

4x(2x + 1)

Step-by-step explanation:

8x² + 4x

4(2x² + x)

4x(2x + 1)

Answer:

Explain what?

Step-by-step explanation:

Answer:

a pair of Tap shoes costs $169.50

a pair of Point shoes costs $319.00

a pair of Ballet shoes costs $159.50

Step-by-step explanation:

first tell your teacher, that the problem description is misleading.

as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.

what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.

and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.

my solution bases on these assumptions.

so, we got Tap (t), Point (p) and Ballet (b) shoes.

buying one pair each is

t + p + b = 648

now we know some other information.

p = 2×b (Point shoes are double the price of Ballet shoes)

t = b + 10 (Tap $10 more than Ballet)

so, we can replace t and p by expressions of b and get

b + 10 + 2×b + b = 648

4×b + 10 = 648

4×b = 638

b = 159.50

p = 2×159.50 = 319.00

t = 159.50 + 10 = 169.50

Answer:

The graph in the bottom right corner.

Step-by-step explanation:

Answer: B. The second one. The one that has 3 lines on on the top right, one in the middle and one in the bottom left.

Step-by-step explanation:

Just graph it on a piece if paper like I did, you'll see

Answer:

[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]

Answer:

$1.50 is [tex]\frac{1}{4}[/tex] of $6.00

Step-by-step explanation:

In order to answers this, we should put $1.50 as the numerator, and $6.00 as the denominator, then simplify it and get the following...

[tex]\frac{1.50}{6.00} = \frac{1.50 / 1.50}{6.00/1.50} = \frac{1}{4}[/tex]

Answer:

blue marbles: 4/15

red marbles: 8/15

Step-by-step explanation:

add all the marbles together then put how many marbles in front as the numerator.

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

Answer: B

Step-by-step explanation:

And also why do you have only 1 hour out of 16 to complete a test?

Answer:

71.21 in³

Step-by-step explanation:

Seeing as these two objects don't have anything extra on them, we can assume that we just have to add up the two separate volumes of the sphere and cylinder to get the total object's volume.

The volume of a sphere is (4/3)πr³, so we plug 2 in for the radius, r, and get approximately 33.51.

The volume of a cylinder is πr²h, so we plug 3 in for the height and 2 in for the radius (4 inches is the diameter, and the radius is half of that) to get approximately 37.70

Add our two volumes up to get 71.21 in³ as our answer

Answer:

four angles

four sides

Step-by-step explanation:

Given:

Right triangle XYZ has right angle Z.

[tex]\sin(x)=\dfrac{12}{13}[/tex]

To find:

The value of [tex]\cos x[/tex].

Solution:

We know that,

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

[tex]\cos^2(x)=1-\sin^2(x)[/tex]

[tex]\cos(x)=\pm\sqrt{1-\sin^2x}[/tex]

For a triangle, all trigonometric ratios are positive. So,

[tex]\cos(x)=\sqrt{1-\sin^2x}[/tex]

It is given that [tex]\sin(x)=\dfrac{12}{13}[/tex]. After substituting this value in the above equation, we get

[tex]\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}[/tex]

[tex]\cos(x)=\sqrt{1-\dfrac{144}{169}}[/tex]

[tex]\cos(x)=\sqrt{\dfrac{169-144}{169}}[/tex]

[tex]\cos(x)=\sqrt{\dfrac{25}{169}}[/tex]

On further simplification, we get

[tex]\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}[/tex]

[tex]\cos(x)=\dfrac{5}{13}[/tex]

Therefore, the required value is [tex]\cos(x)=\dfrac{5}{13}[/tex].

Answer:

The probability of 3 flights are late is 0.25.

Step-by-step explanation:

Total number of flights = 12

Flights on time = 76 % = 0.76 x 12 = 9.12 = 9

flights which are late = 24 % = 0.24 x 12 = 2.88 = 3

The probability of 3 flights are late is

P = 3/12= 1/4 =  0.25  

Answer:

D

Step-by-step explanation:

g(x) = (x+4)^2 +6

Answer:

The answer is x = 13 and y = 5.

Step-by-step explanation:

From the diagram, we know that there are two congruent legs of the triangle on the left (indicated by the lines).  This means that two angles in this triangle measure 5x degrees.  Because the third angle of the triangle is supplementary to the 130 degree angle, we know it must measure (180-130) or 50 degrees.  We can apply this supplementary argument to the triangle on the right as well.  Looking at both triangles, we can create the following equations using the idea that the interior angles of a triangle must add to 180 degrees total.  This gives us the following equations:

5x + 5x + 50 = 180

10y + 5 + 6x - 3 + 50 = 180

Let's begin by solving the first equation, since it only contains one variable.

5x + 5x + 50 = 180

We can start by combining like terms on the left side of the equation.

10x + 50 = 180

Then, we can subtract 50 from both sides of the equation.

10x = 130

Next, we can divide both sides by 10.

x = 13

Now that we know the value for x, we can take our second equation (that came from the triangle on the right side) and solve for y.

10y + 5 + 6x - 3 + 50 = 180

Let's begin by simplifying the equation a little bit.

10y + 6x + 52 = 180

We can subtract 52 from both sides of the equation.

10y + 6x = 128

Now we can plug in the value for x we found above, x = 13, and simplify.

10y + 6(13) = 128

10y + 78 = 128

We should then subtract 78 from both sides of the equation.

10y = 50

Finally, we can divide both sides of the equation by 10.

y = 5

Therefore, the answer to the problem is x = 13 and y = 5.

Hope this helps!

We are given these three people age below:

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Answer

Answer:

I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.

Answer:

What?

Step-by-step explanation:

Is that a question?

Answer:

option 2

Step-by-step explanation:

By repeatedly subtracting 360° from the given angle.

1155° - 360° = 795°

795° - 360° = 435°

435° - 360° = 75° ← coterminal angle