write the following expression in the form of 4^n

4^4 times 4^3 is equal to?

this is exponets.

Answer:

You actually do not ask anything here, so i will find the equation for the height and i will use it to find something useful, like the maximum height of the baseball.

For any object in a vertical motion, the only force acting on it is the gravitational force, so the acceleration of the object will be equal to g.

a(t) = -g

where the minus sign is because the gravitational acceleration pulls down.

For the velocity we can integrate over time, and get:

v(t) = -g*t + v0

Where v0 is the initial velocity, in this case v0 = 72 ft/s

v(t) = -g*t + 72ft/s

with this equation we can find the time in wich the height is maximum, we need to find the time where the velocity is 0.

-g*t + 72 = 0

t = 72/g

for the height we can integrate over time again:

h(t) = (-g/2)*t^2 + 72ft/s*t + h0

where h0 is the initial height, in this case h0 = 3ft

here we can also replace the value of g = 32ft/s^2

h(t) = (-16ft/s^2)*t^2 + 72ft/s*t + 3ft

Now we can evaluate this in the time that we previously find, t = 72/g = 72/32 = 2.25s

h(2.25s) = -16*2.25^2 + 72*2.25 + 3 = 85.08 feet

after a long and intense thinking of 2 seconds it's 4 units

Answer:

i think it would be rounded to a whole

Step-by-step explanation:

tell me if im wrong

Step-by-step explanation:

Convert

13/15

to a decimal.

0.8

¯

6

Find the number in the tenth place

8

and look one place to the right for the rounding digit

6

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

0.9

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is [tex]\frac{1}{6}[/tex].

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is [tex]\frac{1}{4}[/tex].

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)

Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex].

Final answer:

The minimum amount of paper needed to make the paper cup to the nearest whole cm² is approximately 283 cm².

Explanation:

To find the minimum amount of paper needed to make the paper cup, we need to calculate the surface area of the cup. The formula for the surface area of a cylinder is:

A = 2πrh + π[tex]r^2[/tex]

Given that the height (h) of the cup is 9 cm and the radius (r) of the circular opening is 2.5 cm, we can plug in the values to calculate the surface area:

A = 2 × 3.14159 × 2.5 × 9 + 3.14159 × [tex]2.5^2[/tex]

Simplifying the equation, we get:

A ≈ 282.74 [tex]cm^2[/tex]

Rounding to the nearest whole , the minimum amount of paper needed is approximately 283 [tex]cm^2.[/tex]

Answer:

4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Arc length = r × theta

Arc length = 5 × 0.4

= 2

Answer:

672 squared in.

Step-by-step explanation:

first, we're going to find the height of the prism (it's not provided to us)

im using the Pythagorean Therm .

height: 8 in.

(i got lazy)

Answer:

x=8

y =4

Step-by-step explanation:

x + y = 12 if x = 2y

Replace x with 2y in the first equation

2y+y = 12

Combine like terms

3y =12

Divide by 3

3y/3 =12/3

y = 4

Now we can find x

x=2y

x=2(4)

x = 8

Answer:

[tex]50\geq $30 + $4[/tex]

Step-by-step explanation:

Answer:

The last graph f(x)=x^2-6x-1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.  

The graph shown in picture D with equation f(x) = x²-6x-1 , has axis of symmetry at x = 3.

4 graphs are given in order to identify which of them contains axis of symmetry at x = 3

The axis of symmetry is the center axis of the curves where the curve is equally divided.

For Picture A
The axis of symmetry is x = 1.5 so it is not the correct option.

For picture B
The axis of symmetry is x = 1.3 so it is not the correct option.

For picture C
The axis of symmetry is  x = -3. So it is not correct option

For picture D
The axis of symmetry is x = 3.  it is the correct option.

The graph shown in picture D with equation f(x) = x²-6x-1 , has axis of symmetry at x = 3.

Learn more about the axis of symmetry here:

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Answer:

(12 ft)^2 = 144 square feet

Step-by-step explanation:

How does the store sell carpet?

In square feet of carpet, right?

so

If the whole square bedroom needs to be covered with carpet, then the area to cover is  A = x * x = 12 feet * 12 feet = 144 square feet

Answer:

0.0625 is what i got

Step-by-step explanation:

64, -32, 16, --8, 4, -2, 1, -.5, .25, -.125, 0.0625

Answer:  5/19

Step-by-step explanation:

There is a  total of 20 tickets numbered from 1 to 20.

10 of the tickets has even number and 10 of the tickets have odd numbers.

probability of drawing a ticket that has even number =10/20 which is equal to 1/2

there are total 19 tickets and 10 odd tickets are available.

Probability of drawing a ticket that has odd number =1019

probability =1/2∗10/19=5/19

Answer:

a. 5/19, b. 14/95

Step-by-step explanation:

a. since the first number drawn has 10/20 chance of being even and it's not put back (you assume that you pull an even #), so the second number pulled has a 10/19 chance of being odd.

10/20*10/19 = 5/19

b. 2, 3, 5, 7, 11, 13, 17, 19 are the prime numbers, so 8/20 for the first pull and then 7/19 for the second pull

8/20*7/19 = 14/95

Answer: Strong negative

Step-by-step explanation:

Correlation coefficient tells about the strength ( Strong , moderate or weak ) and direction ( positive or negative) of the relationship between two quantities.

The given correlation coefficient :-0.898

Since, it lies between -1 and -0.5 and has negative sign, it means it indicates a strong negative  between the two things.

Hence, the correct answer is "strong negative ".

Answer:

50.00$

Step-by-step explanation:

99.99 minus 73.50

Gives you 27.50 so then you add up what you have left so that gives you 50.00$

Answer:

The required probability is [tex]\dfrac{1}{12}[/tex].

Step-by-step explanation:

Let A be the event of rolling the number cube.

Let B be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are 12 here.

[tex]\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

where H means Head on toss of coin and T means Tails on toss of coin.

Formula for probability of an event E is:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are 1 and total cases are 12.

[tex]\Rightarrow P(E) = \dfrac{1}{12}[/tex]

Answer:

I dont like math no fair

Answer:

477 :)

Step-by-step explanation:

For math definetly reccommened photo math it is a app that only works on apple but will be the greatest help and always has right answer cause it is high quality app but if you have a apple product then it will be free

To find the total yards of ribbon, convert the length of each piece of ribbon from feet to yards and multiply it by the total number of pieces. James bought 707 yards of ribbon.

To find the total yards of ribbon, we need to convert the length of each piece of ribbon from feet to yards and then multiply it by the total number of pieces.

Since 1 yard is equal to 3 feet, we can use the conversion factor of 1 yard/3 feet to convert each piece of ribbon from feet to yards.

2.1 feet x (1 yard/3 feet) = 0.7 yards

Now, we can multiply the converted length of each piece of ribbon (0.7 yards) by the total number of pieces (1010) to find the total yards of ribbon:

0.7 yards x 1010 = 707 yards

Therefore, James bought a total of 707 yards of ribbon.

Answer:

Step-by-step explanation:

Two find the final probability asked, first we need to find each probability.

This probability is defined by the sum of the probability of getting a card with S, and a probability of getting a card with E. Remeber, when the probability involves "or", that means sum.

[tex]P_{S \ or \ E} =\frac{1+1}{4}=\frac{2}{4} =\frac{1}{2}[/tex]

There are two tiles only, and one of them is numbered 2. So, its probability is

[tex]P_{2}=\frac{1}{2}[/tex]

There are two discs only. So, the probability of getting a red disc is

[tex]P_{red}=\frac{1}{2}[/tex]

Now, the combined probabilty of all these events can be found by multiplying,  because we want to now the chances of getting all these results which are independent.

[tex]P_{total}=\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} =\frac{1}{8}[/tex]

Therefore, the probability is 1/8.

Answer:

122500

Step-by-step explanation:

The formula

A=p(1+rt)

A ?

P 100000

R 0.075

T 3 years

A=100,000×(1+0.075×3)

A=122500

Final answer:

The value of the house at the end of three years would be approximately £123,696.47.

Explanation:

To find the value of the house at the end of three years, we need to calculate the appreciation for each year and add it to the original value. Since the value of the house appreciates by 7.5% each year, we can calculate the value after three years using the formula:

New Value = (1 + Rate of Appreciation) * Original Value

Let's calculate:

The value of the house at the end of the three years would be approximately £123,696.47.

Answer: 43

Multiply

3×3=9

New Problem: (2)(9)+5²

Multiply

2×9=18

New Problem: 18+5²

Multiply

5×5=25

New Problem: 18+25

Add

18+25=43

Answer:

it would be 43 :)

Step-by-step explanation:

first you have to do 3 squared which is 9 then you multiply it by 2. Then square 5 which is 25 and add 25 +18+ 43

Answer:

the answer is (-3,-4)

Step-by-step explanation: -3, -4

The vertex of the parabola is (-3, -4)

A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus.

Given:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

As, the minimum point of y occurs at (-3, -4).

So, the x-intercept of the parabola is

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

x² + 6x+ 5 =0

Now, vertex of equation at axis of symmetry x= -b/2a

x= -6/2 = -3

and, f(-3)= -3 * (-3) + 6(-3) + 5

f(-3)= -4

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Answer:

830 calories

Step-by-step explanation:

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin.

Let the number of muffins be N and the amount of sugar in the muffin be A. This means that:

N α A

=> N = kA

where k = constant of proportionality

A 200 calorie muffin has 500 grams of sugar.

This implies that:

200 = k * 500

=> k = 200 / 500 = 2/5

The constant of proportionality is 2/5.

The number of calories in a muffin with 2075 grams of sugar is:

N = 2/5 * 2075

N = 830 calories

There are 830 calories.

Final answer:

A muffin with 2,075 grams of sugar contains 830 calories, calculated using a proportion based on a known ratio of calories to sugar grams.

Explanation:

The question asks: How many calories are in a muffin with 2,075 grams of sugar if we know a 200 calorie muffin has 500 grams of sugar? This is an example of a proportion problem.

First, let's establish the relationship between calories and grams of sugar. We know that 200 calories correspond to 500 grams of sugar. We can set this up as a ratio: 200 calories/500 grams = x calories/2,075 grams, where x is the number of calories in the muffin with 2,075 grams of sugar.

To find x, we cross-multiply and solve for x: (200 calories * 2,075 grams) / 500 grams = x calories
Thus, x = 830 calories.

Therefore, a muffin with 2,075 grams of sugar contains 830 calories.

Answer:

A

Step-by-step explanation:

Answer:

Length = 12 inches, height = 3 inches

Step-by-step explanation:

First, you have to set up a proportion. 2/7, x/42.

Then, you cross multiply and get the setup of 84=7x

Finally, you divide 84 by 7 and get 12.

12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.

Answer:

A: length = 12 inches, height = 3 inches.

Step-by-step explanation:

The company wants the boxcar to be geometrically similar to the original boxcar.

The first step to doing this is to create a ratio. They tell us the smallest dimension of the toy boxcar must be 2 inches.

The smallest dimension of the original boxcar is 7 feet. We can use these two numbers to create a ratio. A 7:2 ratio to be exact.

A 7:2 ratio can be represented as 7/2. 7/2 equals 3.5. All you have to do now is divide the dimensions in the original boxcar by

For example, the length of the original boxcar is 42 feet. If we put 42/3.5 into a calculator, you get 12 as your answer. The same thing is true for the height.

Answer:

vvvvvvvvvv

Step-by-step explanation:

there are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. a polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

Answer:

There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

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Answer:

I think it is not proportional because the line is supposed to go thro the middle of each dot, and some of the dots don't have a line thro the middle only on the side or not even on the dot.

Hope this helps!

Step-by-step explanation:

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