Pls help me I well mark you Brainliest

A cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

We can determine how much interior room a cylinder has by measuring its volume. The volume would be the same as how much material would fill the full can if you had one.

Volume of cylinder = π*r²*h

r is the radius and h is the height.

For given cylinder:

r = 4 ft and h = 9 ft

Volume of given cylinder = π*4²*9

Volume of given cylinder = 144π cu. ft.

Now, from the options:

As, its is clear from  formula of cylinder that there is a square of radius.

Thus,

take radius r = 3 ft  such that r² = 9 ft and height h = 4 ft.

These are the same dimensions as the given cylinder.

Thus, a cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

Know more about the cylinders

https://brainly.com/question/23935577

#SPJ1

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

The amount raised by west the region is 8.65 ×10^{3}

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. Its purpose is to solve algebraic equations or systems of equations.

Given data:

The amount raised by east = 1.64 × 10^{4}

The amount raised by North = 2.38 × 10^{4}

The amount raised by South = 6.75 × 10^{3}

Total amount raised by four regions = 5.38 × 10^{4}

Now let us consider the amount raised by west = X

Then we have

⇒ 1.46 × 10^{4} + 2.38 × 10^{4} + 6.75 × 10^{3} + X = 5.38 × 10^{4}

⇒ 14600 + 23800 + 6750 + X = 53800

= 8650

= 8.65 × 10^{3}

Therefore, the amount raised by the west is 8.65 × 10^{3}

To learn more about algebra visit

https://brainly.com/question/13715639

#SPJ9

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

To know more about derivatives click here: brainly.com/question/25324584

#SPJ11

Answer:

  (a) -1/25

  (b) y = -1/25x +2/5

Step-by-step explanation:

You want the slope and tangent line equation for the curve y = 1/x at point P(5, 1/5).

The slope is the derivative of the function at the given point:

  y = 1/x = x^(-1)

  y' = (-1)x^(-1-1) = -1/x²

At x=5, the slope is ...

  m = -1/5² = -1/25

The equation of the tangent line is conveniently written using slope-intercept form:

  y -k = m(x -h) . . . . . . . . equation for line with slope m at point (h, k)

  y -1/5 = -1/25(x -5) . . . . equation for line with slope -1/25 at point (5, 1/5)

Rearranging, we have the slope-intercept form ...

  y = -1/25x +2/5

<95141404393>

Answer:

C: 12/45

Step-by-step explanation:

You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.

12/3 =4

45/3 =15

4/15

Answer: angle(s) A on the left.

Step-by-step explanation:

Complementary angles are angles whose sum equals 90, which is a righ angle (forms a corner)

Answer:

The answer is

\(y =1 \\ x = 25\)

Step-by-step explanation:

\(.5 + .02x = .25 + .03 \\ .01x = .25 \\ x = 25 \\ then \\ y = .5 + .02 \times 25 = 1\)

Answer:

For the first row, write 5(0)-1 = 0-1. y is equal to -1.

For the second row, write 5(1)-1 = 5-1. y is equal to 4.

For the third row, write 5(2)-1 = 10-1. y is equal to 9.

For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.

Step-by-step explanation:

Hope this helps!

Answer: I think that would be 2/6 because it more then 1/6 but not quite 1/5

Step-by-step explanation:

Sorry if I am wrong

Answer:

6/7

Step-by-step explanation:

make the sum of the numerators be the new numerator, and the sum of the denominators be the new denominator

(1+ 5)/(1+ 6)

6/1+6

6/7

​

Answer:

Answer

Step-by-step explanation:

-6.3*5= -31.5

Answer:

-31.5

Step-by-step explanation:

multiplication, when there's one negative sign during multiplication just make the answer negative

Answer: The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

Step-by-step explanation:

Surface area = 2(wl + hl + hw).

Volume = Length x Width x Height

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

There is not enough evidence to conclude that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke. The correct option is (A) as the null and alternative hypotheses are: H0: µ1 = µ2H1: µ1 > µ2

a. Use a 0.10 significance level to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke. Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke. Null Hypothesis:H0: µ1 = µ2Alternative Hypothesis:H1: µ1 > µ2(because we are testing that the mean for Coke is greater than Diet Coke) Assuming a 0.10 significance level, the critical value is z = 1.28. If the test statistic z > 1.28, we reject the null hypothesis, H0.

The formula for the test statistic is: ( x1 - x2) / √( s1²/n1 + s2²/n2) Where: x1 = the sample mean for Coke,

x2 = the sample mean for Diet Coke, s1 = the sample standard deviation for Coke,

s2 = the sample standard deviation for Diet Coke,

n1 = the sample size for Coke,

n2 = the sample size for Diet Coke. Substituting the given values:

( x1 - x2) / √( s1²/n1 + s2²/n2)= (39.986 - 39.942) / √( 0.157²/36 + 0.169²/36)

= 0.044 / 0.040

= 1.10 Since the calculated value of the test statistic, 1.10, is less than the critical value of

z = 1.28, we fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke. Option (A) is the correct answer, as the null and alternative hypotheses are: H0: µ1 = µ2H1: µ1 > µ2

To know more about mean visit:-

https://brainly.com/question/31101410

#SPJ11

The angle XBC is 55° due to Corresponding relationship while BXC is 70°

XBC = 55° (Corresponding angles are equal)

To obtain BXC:

XBC = XCB = 55° (2 sides of an isosceles triangle )

BXC + XBC + XCB = 180° (Sum of angles in a triangle)

BXC + 55 + 55 = 180

BXC + 110 = 180

BXC = 180 - 110

BXC = 70°

Therefore, the value of angle BXC is 70°

Learn more on angles : https://brainly.com/question/25770607

#SPJ1

The answer is 1432200. No decimals, commas, or units of measurement are used in this answer.

The number of different committees that can be formed from 7 teachers and 33 students if the committee consists of 4 teachers and 4 students can be calculated using the combination formula which is given by:

C(n,r) = n! / r!(n - r)!

where n represents the total number of objects,

r represents the number of objects to be selected from n,

and the exclamation mark (!) denotes the factorial of a number.

The number of ways of selecting 4 teachers from 7 is given by:

C(7,4)

= 7! / 4!(7 - 4)!

= 35

The number of ways of selecting 4 students from 33 is given by:

C(33,4)

= 33! / 4!(33 - 4)!

= 40920

The total number of different committees that can be formed from 7 teachers and 33 students if the committee consists of 4 teachers and 4 students is the product of the number of ways of selecting 4 teachers from 7 and the number of ways of selecting 4 students from 33.

Hence, it is given by:

35 × 40920 = 1432200

Therefore

the answer is 1432200. No decimals, commas, or units of measurement are used in this answer.

To know more about factorial visit

https://brainly.com/question/30956823

#SPJ11

Answer:

C 3.5t + 15, where t is the number

of days

Answer:

d

Step-by-step explanation:

The test statistic is t = −1.12, which corresponds to a P-value of 0.8737.

This P-value is greater than the significance level α = 0.05.

Therefore, we fail to reject the null hypothesis H0: µd ≤ 0.

There is insufficient evidence to conclude that wrapping foods in familiar packaging increased the number of bites that children took compared to plain packaging.

This interval includes zero, which is the hypothesized value of µd under the null hypothesis. Therefore, the null hypothesis cannot be rejected.

The null hypothesis cannot be rejected.

Learn more about null hypothesis click here:

https://brainly.com/question/4436370

#SPJ11

Answer:

Domain: -9, -6, 0, 9  I put them in ascending order

Range: -7, -6, 0, 3  I put them in ascending order.

Step-by-step explanation:

The domain is the inputs or the x values.

The range is the outputs or the y values.

The area of the sector in this problem, with an angle of 60º and a radius of 12 ft, is given as follows:

75.4 ft².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

The entire circle has an angle measure of 360º, hence for an angle measure of 60º, the equation is given as follows:

A = πr²/6

(as 60/360 = 1/6).

Considering the radius of 12 feet, the area of the sector is given as follows:

A = π x 12²/6

A = 75.4 ft².

More can be learned about the area of a circle at https://brainly.com/question/15673093

#SPJ1

Answer:

12?

Step-by-step explanation:

Answer:

2x5=10 + 4x3=12 +12 total 34

Step-by-step explanation:

HOPE THIS HELPS!!!!!!!!!

HAVE A AWESOME DAY!!!!!

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

Learn more about piecewise

brainly.com/question/28225662

#SPJ11

The differentials of the given functions are:

dy/dt = (1/2)√(3t) sec^2(√(3t)) dt

dy/dv = -v/2 + v

To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.

First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.

To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.

For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).

For the third term, v^2, the derivative is 2v.

Combining these derivatives, we get dy/dv = -v/2 + v.

The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.

To know more about differentials visit:

https://brainly.com/question/1164377

#SPJ11

The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.

To find the differential of each function, we will differentiate them with respect to the independent variable.

Let's use the chain rule to differentiate this function.

Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).

Let's differentiate this function using the power rule and the sum/difference rule for derivatives.

Therefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.

About differential here:

https://brainly.com/question/31391186

#SPJ11

Answer:

\(a_{n}\) = \(a_{n-1}\) + 7

Step-by-step explanation:

the recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term.

d = 16 - 9 = 23 - 16 = 30 - 23 = 7

then

\(a_{n}\) = \(a_{n-1}\) + 7 : a₁ = 9

The Boolean operation is referred to as a Boolean sum is OR operation

In Boolean algebra, the Boolean sum operation is also known as the logical OR operation. It is one of the most commonly used Boolean operations, and is used to create a logical expression that is true if either one or both of the operands are true.

The Boolean sum operation is denoted by the symbol "+". It takes two operands and returns a result based on the truth values of those operands. The truth table for the Boolean sum operation is as follows:

Operand 1 Operand 2 Result

False False False

False True True

True False True

True True True

As you can see from the truth table, the Boolean sum operation returns true (or 1) if either one or both of the operands are true, and false (or 0) otherwise.

Therefore, the Boolean sum operation is a very important operation in Boolean algebra, and is used in a wide range of applications such as digital circuits, computer science, and programming.

To know more about Boolean here.

https://brainly.com/question/29846003

#SPJ4

Answer:

I think the awsner is 180 deegrees