1. Copy and complete: To multiply two powers with the same base, ? their exponents.

2. Give an example of an expression you could simplify using the quotient of powers property.

Find the product or quotient. Write your answer using exponents.
3. 4².4⁹ 4. 5³.5⁸ 5. 6₇.6 6. 7³.7⁴.7²

Answer:

gpaph C.

Step-by-step explanation:

graph 'C' represents the provided function. Its equation is

\(y=-\frac{5}{2}x +4.\)

Answer: 100

Step-by-step explanation:

Calculate it and 85.7272727273 is closer to 100 so its 100

Answer:

40.9 ft

Step-by-step explanation:

The perimeter of any figure total length around the edges of a shape. In other words, it's the sum of all the outer side lengths in the shape.

Given the information above, we know the sides of 8, 10, 8.9, and 4. The missing side length (under the 10 ft one) is also 10 feet because bases of a rectangle are equal, making all the sides: 8, 10, 10, 8.9, and 4.

Now, we add up all the sides together.

Therefore, the answer is 40.9 feet.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

9/20

Step-by-step explanation:

0.45 = 45/100

45/100=9/20 (divide numerator and denominator by 5)

Answer:

b

Step-by-step explanation:

edmentum

Answer:

The answer is

Step-by-step explanation:

The statement

y varies inversely with x is written as

\(y = \frac{k}{x} \)

where k is the constant of proportionality

To find k substitute the values of x and y into the equation

From the question

y = 4

x = 6

We have

\(4 = \frac{k}{6} \)

Cross multiply

k = 4 × 6

k = 24

So the formula for the variation is

Hope this helps you

Answer: 5

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

You do 1.25. Y 20

Answer:

174 cm²

Step-by-step explanation:

The figure given is a prism with isosceles trapezoid as base.

Its surface area can be calculating the area of each face that makes up the prism, and summing all together.

There are 6 faces. Their dimensions and areas can be calculated as follows:

2 isosceles trapezium:

It has 2 parallel bases, (a and b), of 4cm and 6cm,

Height (h) = 2.8cm

Area = ½(a+b)*h

Area = ½(4+6)*2.8

Area = ½(10)*2.8 = 5*2.8 = 14 cm²

4 rectangles of different dimensions:

Rectangle 1 (down face): l = 10cm, b = 4cm

Area = 10*4 = 40 cm²

Rectangle 2 and 3 (side faces): l = 10cm, b = 3cm

Area = 2(l*b) = 2(10*3) = 60cm²

Rectangle 4 (top face) = l = 10cm, b = 6cm

Area = 10*6 = 60cm²

Surface area of the figure = 14 + 40 + 60 + 60 = 174 cm²

Answer: 40 dollars

Step-by-step explanation:

i hope the explanation is right:)

If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

The feet that she was now below sea level is -12.6 feet.

The sea level simply means the base level that is used for measuring elevation as well as the depth of the Earth.

In this case, the scientist was in a submarine, 67.3 feet below sea level, studying ocean life. and she rose 54.7 feet.

The change in elevation will be:

= 54.7 - 67.3

= -12.6 feet

Therefore, she's 12.6 feet below the sea level.

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Answer:

$21 a month it would be 43 years

Step-by-step explanation:

hope this help

Answer:

Rewrite \(csc^4x-cot^4x\) by applying exponent rule \(a^{bc}=(a^b)^c\):

\(\implies (csc^2x)^2-(cot^2x)^2\)

Apply difference of two squares formula \(x^2-y^2=(x+y)(x-y)\):

\(\implies (csc^2x+cot^2x)(csc^2x-cot^2x)\)

Using trig identity \(1+cot^2x=csc^2x \implies 1=csc^2x-cot^2x\)

\(\implies (csc^2x+cot^2x)(1)\)

\(\implies csc^2x+cot^2x\)

Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.

Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.

Here,

Given : -4.9t² + 2.94t + 25.48

Then,

To find the When does the object strike the ground :

We get :

=> -4.9t² + 2.94t + 25.48 = 0

Using discriminant formula

We find the value of t:

=> t = -19.6 ±\(\sqrt{19.6^{2} - 4 (-4.9)(25.48)}\) /  2(-4.9)

=> t =-2 or 6

So we neglect -2

So solution for t = 6 seconds

Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.

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Answer:

-3^0 IS NOT INTEGER BECAUSE WHILE WE CALCULATING ANSWER IS IN NEGATIVE BUT INTEGER IS NOT AN NEGATIVE NUMBER

MARK ME AS A BRAINLIST ANSWER

Answer:

-3^0 cannot be written as an integer

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

the answer is 6mm

Step-by-step explanation:

hope it helps u

Answer:

Step-by-step explanation:

since we can see the figures are congruent so

x = 6 mm

We know that, for a parabola, the minimum, or the maximum, is given by the vertex of the parabola. The formula for the vertex of the parabola is given by:

And we have the coordinates for x and y for the vertex.

We can see that the line of symmetry is x = -1, and this is the same value for the value of the vertex for x-coordinate, that is, the x-coordinate is equal to x = -1.

With this value for x, we can find the y-coordinate using the given equation of the parabola:

We can also expand these two factors, and we will get the same result:

Therefore, the value for the y-coordinate (the value for the y-coordinate of the parabola, which is, at the same time, the minimum point for y of the parabola) is:

The minimum point of the parabola is (-1, -9) (answer), and we used the given function (rule) to find the value of the y-coordinate.

We can check these two values using the formula for the vertex of the parabola as follows:

Then, a = 1 (it is positive so the parabola has a minimum), b = 2, and c = -8.

Hence, we have (for the value of the x-coordinate, which is, at the same time, the value for the axis of symmetry in this case):

And for the value of the y-coordinate, we have:

The correct answer is c. mass, height.

If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.

The potential energy of an object in a gravitational field is given by the equation:

Potential Energy = mass * gravitational acceleration * height

By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:

PE ∝ m * h

Therefore, increasing the mass and height of an object will increase its potential energy.

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)

We are given the equation that we are working with:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

We are given certain values that the variables, in this case, are equal to:

A = 136

\(b_{1}\) = 7

h = 16

Substitute the given variables in the given equation for the corresponding numbers:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

We know all the values in the equation except  \(b_{2}\). In order to find  \(b_{2}\) we must isolate it on one side of the equation

136 = 8 (7 + \(b_{2}\))

\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)

17 = 7 + \(b_{2}\)

17 - 7 = 7 - 7 + \(b_{2}\)

10 =   \(b_{2}\)

If   \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

136 = \(\frac{1}{2}\) * 16 (7 + 10)

136 = \(\frac{1}{2}\) * 16 (17)

136 = 8 (17)

136 = 136

\(b_{2}\) = 10

Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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They can buy 20 pumpkins

Answer:

they can buy 20 pumpkin

Step-by-step explanation:

250/12.32=20.29222077922

so 20 pumpkin they can buy

Answer:3

Step-by-step explanation GCF of 6 and 9 is 3.

Answer:

The volume is 160 inches

Step-by-step explanation:

If u search in googl volume of pyramid and add in the lengths it will give u the answer!

the formula is lwh/3

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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