This cylinder has a volume of 12 cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.

Answer:

63

Step-by-step explanation:

A composite number is an integer which can be found by mulitplying 2 smaller integers, 7 and 9 in this case

Answer:

64.6x

Step-by-step explanation:

Answer:

19,000 cm

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

It is assumed the rectangular prism with dimensions of 20, 70 and 90

Surface are is calculated by the formula:

Substitute values and find the value:

Answer:

477 square foot

Step-by-step explanation:

cause yea

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

Determine the new price after discount.

So, new price after discount is $68.64.

The current assets total of  Adventure Travel. at December 31, 20XX is $44,300

What are current assets?

Current assets are short-term resources owned by Adventure Travel which are used in its daily operations such as the cash, accounts receivable as well the office supplies which are current assets until consumed

In other words, in a bid to determine current assets total, we sum up the cash, accounts receivable and the office supplies of the company since there are no other current assets aside the aforementioned ones.

Current assets total=cash+ accounts receivable+ office supplies

cash=$25,000

accounts receivable=$ 15,000

office supplies=$4,300

current assets total=$25,000+$15,000+$4,300

current assets total=$44,300

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Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

It is 90º

Step-by-step explanation:

Looking at the picture, we realize that the angle direcly beside it, EGD, is 90º. Now, both angles form a straight line, which equals 180º. 180-90= 90º.

Answer: A 40 B 50 C 90 D 130

where they go: B goes under A, D goes under the whole thing, just like E (although that doesn't want to be answered) and C goes under B

hope this helped

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

9 3/4 = 975%

Step-by-step explanation:

975% is the answer

9 3/4 =  9 75/100

9.75 x 100= 975

Answer:

40 cm²

Step-by-step explanation:

Dimensions new Rect: 1/2(10) , 1/2(16)

                                    = 5, 8

Area = l x w

        = 5 x 8 = 40

-Chetan K

Answer:

2p-30

Step-by-step explanation:

10p-40-8p+10

=2p-30

The function relationship is a quadratic function

The function is given as:

x y

-5 17

-4 7

-3 1

-2 -1

-1 1

Remove the x values:

y: 17     7      1     -1      1

Calculate the difference between the consecutive y values

Difference: 10  6   2   -2

Because the first difference are not equal, it means that the function is not a linear function.

Calculate the difference between the above differences

Difference: 4   4   4

Because the second differences are equal, it means that the function is  a quadratic function.

Hence, the function relationship is a quadratic function

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Answer:

9x + 1

Step-by-step explanation:

2x + 1 + 7x

= 9x + 1

Answer:

2x+1+7x

2x+7x=-1

9x=-1

x=-1/9

Step-by-step explanation:

collect the like terms then add

take 1 to the other side it will be negative

then divide by nine in fraction form it will be -1/9

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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Answer:

Step-by-step explanation:

It would be -5 3-5=-2

Answer:A, C, C

Step-by-step explanation:

Answer:

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Answer:

\((h,k)=(3\sqrt{2},\frac{19}{2} ) , p= -\frac{1}{2}\)

Step-by-step explanation:

Isolate the radical on one side of the equation.

Square both sides of the equation.

Solve the new equation.

Check the answer. Some solutions obtained may not work in the original equation.

Answer:

9^1 has a power of 1.  it evaluates to 9

Step-by-step explanation:

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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Answer:

a,d,e

Step-by-step explanation:

In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being \(\frac{1}{6}\).

Limit:

The limit given is:

\(\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}\)

If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.

When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.

Multiplication by the conjugate:

The term with the root is:

\(\sqrt{x+2} - 3\)

It's conjugate is:

\(\sqrt{x+2}+3\)

Multiplying numerator and denominator by the conjugate, meaning option A is correct:

\(\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}\)

We do this because at the numerator we can apply:

\((a+b)(a-b) = a^2 - b^2\)

Thus

\(\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}\)

Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:

\(\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}\)

Now, we just calculate the limit:

\(\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}\)

Thus, option E is also correct.

Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.

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Answer:

See below.

Step-by-step explanation:

0.27 has the 7 in the hundredths place, so 0.27 is read as "twenty-seven hundredths."

0.6 has the 6 in the tenths place, so it is "six tenths."

Greta is comparing hundredths and tenths, so her statement is incorrect.

If we add a zero to the right of 0.6 which does not change the value of the number, we get 0.60; the final zero is now in the hundredths place. We can now read 0.60 as "sixty hundredths."

Since 60 hundredths is greater than 27 hundredths, then 0.6 is greater than 0.27.

                                            0.27

<----------+---------+---------+------+--+---------+---------+---------+---------+---------+---->

            0         0.1       0.2       0.3       0.4        0.5      0.6        0.7

On the number line, since 0.6 is to the right of 0.27, 0.6 is greater than 0.27.

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer:

1023/4

Step-by-step explanation:

shown in the picture

Answer:

one

Step-by-step explanation:

one is the only number that evenly adds up to six and multplys to 77

Answer:

Step-by-step explanation:

(2×4-6)/(3-2)=2

Answer:

\({ \tt{f(x) = x - 2}} \\ { \bf{f(3) = 3 - 2 = 1}} \\ \\ { \tt{g(x) = 2x - 6}} \\ { \bf{g(4) = 2(4) - 6 = 2}} \\ \\ { \boxed{ \tt{ \frac{g(4)}{f(3)} = \frac{2}{1} = 2}}}\)