I need help please lol

Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

The angle formed by the two sides is approximately 70.6 degrees. However, there is another possible angle which is the supplement of 70.6°, which is approximately 109.4°

To find the angle between two sides of a triangle with a given area, we will use the formula for the area of a triangle that is given as follows:

\($A = \frac{1}{2}bh$\)

Where

We know that two sides of the triangle are 8 inches and 10 inches, but we don't have the third side. Since we know that the area of the triangle is 16 square inches, we can use this information to find the height of the triangle. The height can be found by substituting a = 16, b = 10 and solving for h.

\(16 = \frac{1}{2}(10)(h)\\ 16 = 5h\\h = 3.2\)

Now we can use the Pythagorean Theorem to find the third side of the triangle. Mar c the hypotenuse. So

\($$c^2 = 8^2 + 3.2^2$$$$c^2 = 64 + 10.24$$$$c^2 = 74.24$$$$c = \sqrt{74, 24}$$$$c = 8.616$$\)

We have found the three sides of the triangle. Now we can use the Law of Cosines to find the angle between the two given sides. Let A be the angle opposite the 8-inch side, B the angle opposite the 10-inch side, and C the angle opposite the 8.616-inch side. The Law of Cosines is given by:

\($$c^2 = a^2 + b^2 - 2ab\cos C$$\)

Where a and b are the lengths of the sides opposite angles A and B, respectively. We want to find angle C, so we can rearrange the formula as follows:

\($$\cos C = \frac{a^2 + b^2 - c^2}{2ab}$$\)

Now we can substitute the values we know:

\($$\cos C = \frac{8^2 + 10^2 - 8.616^2}{2(8)(10)}$$$$\cos C \approx 0.3455$$$$C \approx 70.6 °$$\)

Therefore, the angle formed by the two sides is approximately 70.6 degrees. However, there is another possible angle which is the supplement of 70.6°, which is approximately 109.4°. This is because a triangle can have two possible solutions, since the sine function is periodic and has two solutions for the same value between 0 and 180 degrees.

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Answer:

\(788544\)

Step-by-step explanation:

\(888*888\)

Multiply.

\(788544\)

Hope this helps!

Hope I get brainliest!

Answer:

788544

Step-by-step explanation:

Using the slope line formula,

The slope of line y = mx is 1.0315.

We have given that,

parabola equation is y = 5x - 3x²

line passing through origin is in the form of y = mx

==> mx = 5x - 3x²

==> 3x²+ mx - 5x = 0

==> 3x² + x(m -5) = 0

==> x(3x + (m -5)) = 0

==> x = 0 , x = (5 -m)/3

The total area of the bounded region is then the integral of 5x - 3x² from x = 0 to x = (5-m)/3

Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108

==> [0 to (5 -m)/3] ∫(5x - 3x²-mx )dx = 125/108

==> [0 to (5 -m)/3]∫( (5 - m)x - 3x2 )dx = 125/108

==> [0 to (5 -m)/3] ((5 - m)x²/2 - x³ )= 125/108

==> (5 - m)[(5 -m)/3]²/2 - ((5 -m)/3)³ = 125/108

==> (5 -m)³/18 - (5 -m)³/27 = 125/108

==> (5 -m)³/54 = 125/108

==> (5 -m)³ = 125/2

==> (5 -m) = 3.9685

==> m = 5 - 3.9685

==> m = 1.0315

Hence slope of line = 1.0315

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Answer:

Step-by-step explanation:

Q = F(K,L) = 3K+2L.

It will take the turkey about 3 hours to roast.

Answer:

Y=16

Step-by-step explanation:

Becasue if you substitute 2 in for x, you get 8 times 2=16

Answer:

y=8 and

x=2

If x=2, then

8x=8*2=16

so therefore , y=8x i.e 16

y=16

SIMPLE AS THAT !!

Step-by-step explanation:

Answer:

Total - 8.4 kilos

Pears; 2/5

Apples; Unknown

The rest of the 2/5 of pears is 3/5 apples.

3/5(apples) x 8.4(kilos)

0.6 x 8.4 = 5.04 or 5 4/100 which simplifies to 1/25

Answer:

Segment RS

Segment SR

Step-by-step explanation:

Mark as brainliest please

Step-by-step explanation:

1. A

2. B

3. A

4. A

5. A

6. B

7. B

8.C

9. C

10. C

11. C

Step-by-step explanation:

P(C) = 4/10 = 2/5

P(A) = 6/10 = 3/5

The new price of the shoe before taxes will be $ 35.75.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

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the probability that a random sample of 25 claim amounts in year two averages between 100 and 110 is approximately 0.5803 or 58.03%.

To calculate the probability that a random sample of 25 claim amounts in year two averages between 100 and 110, we need to use the Central Limit Theorem (CLT). The CLT states that the distribution of the sample means of a large enough sample (n ≥ 30) from any population will be approximately normally distributed.

In this case, the mean and standard deviation of the individual claim amounts in year two are given by:

Mean (μY) = 1.04 * Mean (μX) + 5 = 1.04 * 105 + 5 = 109.2

Standard Deviation (σY) = 1.04 * Standard Deviation (σX) = 1.04 * 25 = 26

Now, we want to find the probability that the sample mean of 25 claim amounts in year two (denoted as \(\bar{X}\)Y) falls between 100 and 110. To do this, we need to standardize the sample mean using the z-score formula:

z = ( \(\bar{X}\)Y - μY) / (σY / √n)

where  \(\bar{X}\)Y is the sample mean, μY is the population mean, σY is the population standard deviation, and n is the sample size (which is 25 in this case).

Now, we can calculate the z-scores for 100 and 110:

z₁ = (100 - 109.2) / (26 / √25) ≈ -1.769

z₂ = (110 - 109.2) / (26 / √25) ≈ 0.308

Next, we find the corresponding cumulative probabilities for these z-scores using a standard normal distribution table or a calculator. Let's denote the cumulative probability for z₁ as P₁ and the cumulative probability for z₂ as P₂.

P₁ ≈ 0.0383

P₂ ≈ 0.6186

Now, to find the probability that the sample mean falls between 100 and 110, we subtract the cumulative probability for z1 from the cumulative probability for z2:

Probability = P2 - P1 ≈ 0.6186 - 0.0383 ≈ 0.5803

Therefore, the probability that a random sample of 25 claim amounts in year two averages between 100 and 110 is approximately 0.5803 or 58.03%.

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Answer:

13

Step-by-step explanation:

using c^2 = a^2 + b^2

whereas c is the length of the ladder

a is the top of the ladder

b is the distance from building

so c^2 = 12^2 + 5^2 = 144 + 25 = 169

c = 13

Answer:

36

Step-by-step explanation:

All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.

As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

606

Step-by-step explanation:

1037 divided by 2 is 518.5 so $87 more is around $605.5 or rounded (606)

Answer:6,9

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= 5x -7

check:

-2 = 5*1 -7 true

3= 5*2 -7 true

8= 5*3 -7 true

13= 5*4 -7 true

18= 5*5 -7 true

The  lemonade does Rosanne'a brother drinks is  \(1\div 2\) liter

The remaining should be

\(= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters\)

Since The brother drinks 2/5 of that,

So,

\(= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L\)

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Answer:

8,3 y=3x+4

Step-by-step explanation:

The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given A(8, 0) and B(3, 7).

Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.

Slope of AB = (7 - 0) / (3 - 8) = -7/5

Substituting in the equation,

y = -7/5 x + c

Substituting a point (8, 0) on the equation,

0 = (-7/5 × 8) + c

c = 56 / 5

Given AB parallel to CD.

Slope of parallel lines are equal.

Slope of CD is -7/5.

Equation of the line CD is y = -7/5 x + c.

Substituting (5, 5),

5 = (-7/5 × 5) + c

c = 12

Equation of CD is y = -7/5 x + 12

Hence the equation of line CD is y = -7/5 x + 12.

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The inverse function over the domain is f⁻¹(x)  = √[(x + 1)/3]

The domain and the range are x ≥ -1 and y ≥ 0

The graph of f(x) = 3x² - 1 and f⁻¹(x)  = √[(x + 1)/3] is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = 3x² - 1

So, we have

y = 3x² - 1

Swap x and y

x = 3y² - 1

Next, we have

3y² = x + 1

This gives

y² = (x + 1)/3

So, we have

y = √[(x + 1)/3]

This means that the inverse function is f⁻¹(x)  = √[(x + 1)/3]

For the domain, we have

x + 1 ≥ 0

So, we have

x ≥ -1

For the range, we have

y ≥ 0

The graph of f(x) = 3x² - 1 and f⁻¹(x)  = √[(x + 1)/3] on the same set of axes is added as an attachment

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

x=11

Step-by-step explanation:

3x+7+60+80=180

3x+147=180

3x=33

x=11

Hope this helps :D

BTW 180 degrees is how many degrees in a triangle

Answer:

y=3

Step-by-step explanation:

as perpendicular to y axis so it means parallel to x-axis and we measure slope with positive x axis

I think the answer is for

1 book (x = 1)

1150+25(1)= 1175

For 2 books (x - 2)

1150+25(2) = 1200

Next, to find the change in total cost, subtract these 2 answers:

1200 - 1175 = 25

Answer:figure it out yourself

Step-by-step explanation:

Step-by-step explanation:

Let x and y be the present ages of the father and his son respectively.

x + y = 80

2y = 40

y = 20

x + 20 = 80

x = 60

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (119 + 23) = missing angle

180 - (142) = missing angle

38 = missing angle

So, the missing angle has a measurement of 38°

The given value, 55%, is a statistic. A statistic is a numerical summary of a sample.

To determine whether it is a statistic or a parameter, we need to understand the definitions of these terms:

- Statistic: A statistic is a numerical value that describes a sample, which is a subset of a population. It is used to estimate or infer information about the corresponding population.

- Parameter: A parameter is a numerical value that describes a population as a whole. It is typically unknown and is usually estimated using statistics.

In this case, since the study includes all 3237 seniors at the college, the value "55%" represents the proportion of the entire population of seniors who own a computer. Therefore, it is a statistic.

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Answer:

(2u+8)(2u+10) inches^2=4u^2+36u+80 inches^2

Step-by-step explanation:

I don't know what the options are. But I'll try to help you anyway. Is that variable for the width of the frame... u? We'll just use u.

So the area of a rectangle is found using length* width. To find the combined area of the mat and the photo, we need the combined length and the combined width.

combined length=u+8+u

(Think of it from the top to the bottom: the top strip has a length of u inches, 8 is given, and the bottom strip is also u inches long.) You can simplify it to get 2u+8 inches.

combined width=u+10+u=2u+10 inches

To find the area, you need to multiply these dimensions.

(2u+8)(2u+10) inches^2

I think this would be your answer for Part B, because it's factored.

I think for Part A, you need to multiply it all out.

=2u(2u+10) + 8(2u+10)

=4u^2+20u + 16u+80

=4u^2+36u+80 inches^2

Hope I could help you!