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15. The dimensions of a cylindrical can are shown below.
1
10 in.
3 in.
What is the volume of the can, in terms of ?
A. 60 π cubic inches
TL
B. 90 cubic inches
C. 30 π cubic inches
D. 18 π cubic inches

The kite is about 16.5 yards above the edge of the pond.

You are flying a dragon kite. It's connected to 36 yards string. The kite is directly above the end of the pond. The edge of the pond is 32 yards where the kite is tied to the ground.

Therefore, the height of the kite above the ground can be calculated as follows:

This situation form a right angle triangle. Hence, using Pythagoras's theorem,

Therefore,

h² = 36² - 32²

h² = 1296 - 1024

h = √272

h = 16.4924225025

Hence, the height of the kite is 16.5 yards.

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The maximum cost Dorothy should pay for the car to stay within her monthly budget amount is $23,518.84. See the explantion below.

A budget is a financial plan that takes into account both income and costs. In other words, it's a projection of how much money you'll make and expend over a specific time period, such as a month or a year.

The calculation that justified the above amount is solved as follows:

Given that:

Rate = 4%

Time = 4 years

The monthly payment is $490, to determine the amount (maximum) in 4 years, we use the Compound Interest formula:

                                          A = P (1+ (r/n)ⁿᵇ

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

b = number of time periods elapsed

A = P (1 + (0.04/1)^(1x4)

A = P (1.04)⁴ in four years

Hence, given that the monthly payment over the four-year period is $490, we say:


P [(1.04)⁴] /12 x4 = 490

⇒ P (1.04)⁴ = 490 x 48
P = (490 x 48)/1.1699
P = 20104.2824173

P \(\approx\) 20,104

The maximum amount payable hence

= 20,104 (1.04)⁴

A = 23518.837

A \(\approx\) 23,518.84

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Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

Step-by-step explanation:

in the 6 th process I've used natural logarithm ln and ln(e)=1.

if the answer is required in decimal u can substitute the value in calculator.

hope it helps

Answer: 13

Step-by-step explanation:

Answer: No, -2 1/2 is greater because of the extra half that it has

Step-by-step explanation:

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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The economic order quantity (EOQ) for the switch connectors is approximately 97 units.

To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:

EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)

Given the following information:

Annual Demand = 15,400 units

Holding Cost = $24 per unit

Order Cost = $74 per order

Plugging in the values into the formula, we get:

EOQ = √((2 * 15,400 * 74) / 24)

EOQ = √(227,200 / 24)

EOQ = √(9,466.67)

EOQ ≈ 97.28

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The inverse function theorem states that if f is a differentiable function with a nonzero derivative at a point x, then there exists a neighborhood of x where f is invertible and the inverse function g is also differentiable.

If f has k continuous derivatives, then we can apply the theorem k times to obtain a neighborhood of x where f is k times differentiable and invertible with a k times differentiable inverse function g. To show that g also has k continuous derivatives, we can use induction.

For k = 1, we know that g'(y) exists and is continuous by the inverse function theorem. Now assume that g has k continuous derivatives, and let's show that g has (k+1) continuous derivatives. By the chain rule, we have (g o f)(x) = x, which implies that (g' o f)(x) f'(x) = 1. Differentiating both sides with respect to x, we get (g'' o f)(x) f'(x)^2 + (g' o f)(x) f''(x) = 0. Solving for (g'' o f)(x), we obtain (g'' o f)(x) = - (g' o f)(x) f''(x) / f'(x)^2.

Since f has k continuous derivatives, we know that f'' is continuous. By the induction hypothesis, g' o f has k continuous derivatives. Since f' is nonzero, we know that f' is continuous and hence 1/f'(x)^2 is also continuous. Therefore, (g'' o f) is continuous as a product of continuous functions, and g has (k+1) continuous derivatives.

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Answer:

I don't know if i'm right but I think it's b.

Step-by-step explanation:

I am so sorry if I am wrong.

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

156 - 104 = 52

Answer:

52

Step-by-step explanation:

12x13=156 and 8x13=104 so 156-104=52

Update:

if its negative its -52 =0

a) The slope of the staircase is 2.4/3.5 = 0.6857 (rounded to four decimal places). b) Yes, the staircase is safe as its slope falls within the required range of 0.58 to 0.70.

a) The slope of a staircase is calculated by dividing the vertical rise by the horizontal run. So, the slope of this staircase is:

slope = vertical rise / horizontal run

= 2.4 m / 3.5 m

= 0.686

b) To determine if the staircase is safe, we need to compare the slope with the safety requirement of 0.58 < slope < 0.70. In this case, the slope of the staircase is within the safety range, as 0.58 < 0.686 < 0.70. Therefore, the staircase is safe according to the safety requirement.

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Answer:

a reflection over the y-axis, then a dilation by a scale factor of 1.5

Step-by-step explanation:

im smart

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) & (1, -1)

slope: (y² - y¹) / (x² - x¹)

(-1 - 3) / (1 - 0) = -4 / 1 = -4

y = -4x + b

plug in to find y-intercept (b)

3 = -4(0) + b

3 = 0 + b

b = 3

y = -4x + 3

Answer:

wait yooooo

Step-by-step explanation:

i just did that plz log into this u go to AOA also brooo we can help each other!!!!

Answer:

option 6b):) is correct

As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Answer:

6

Step-by-step explanation:

The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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Answer:

SAS Congruence Rule

A triangle is said to be congruent to each other if two sides and the included angle of one triangle is equal to the sides and included angle of the other triangle.

Answer: SAS (side side angle postulate.)

Step-by-step explanation:

can be used to prove triangles congruent.

sides and the corresponding angle of the other, then the triangles are congruent.

Answer: (2.)

1 and 111 only

Step-by-step explanation:

Answer:

D neither thank you very much delete this again and I will shove it

Step-by-step explanation:

THIS BETTER HELP

Step-by-step explanation:

line n (and if it is parallel or not) has nothing to do with this solution. it is only there to confuse us.

the sum of all angles around a single point on one side of a line is 180° (because the line can act as the diameter of a circle with the point being is center, and a half-circle stands for 180°).

so,

180 = (6x - 19) + (8x + 3)

180 = 6x - 19 + 8x + 3 = 14x - 16

90 = 7x - 8

98 = 7x

x = 98/7 = 14

Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Answer:

See below.

Step-by-step explanation:

A)

y=3x+5

The entry fee is 5, and the fee per ride is 3, without specifying the number of rides.

B)

y=3(5)+5

y=15+5

y=20

C)

44=3x+5

-5       -5

39=3x

/3    /3

13=x

-hope it helps

Answer:

a) 3x+5

b)3(5)+5=20

c)13

Step-by-step explanation:

hope this helps brainliest appreciated

When the sum of the angles at a point is (2y + 60°), the value of y is 150°.

The sum of the angles at a point is always 360 degrees.

Therefore, we can set up the equation:

2y + 60° = 360°.

To solve for y, we need to isolate the variable.

Let's begin by subtracting 60° from both sides of the equation:

2y = 360° - 60°.

Simplifying further:

2y = 300°.

Next, we divide both sides of the equation by 2 to solve for y:

y = 300° / 2.

Simplifying further:

y = 150°.

Therefore, the value of y is 150°.

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Answer:

-8/9

Step-by-step explanation:

-1 1/8

=> - 9/8

=> Multiplicative inverse of 9/8 is:

=> - 8/9 [Sign does not change only the numerator goes to the denominator and denominator to the numerator]

=> -8/9 is the multiplicative inverse of -1 1/8

The critical points are (0, 0) and (1, 1).

Near (1, 1), linear system becomes

\($\frac{d}{dt} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}-1 & -2 \\ 1 & 0\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix}$\)

Eigenvalues are complex and not real.

(0, 0) is a stable equilibrium point and (1, 1) is an unstable equilibrium point.

From the phase portrait, we can conclude that (0, 0) is a stable equilibrium point and (1, 1) is an unstable equilibrium point.

(a) Critical points are the points where dx/dt = 0 and

dy/dt = 0.

So, we need to solve the following equations:

x - y² = 0 and

y - x² = 0

Solving them, we get (0, 0) and (1, 1) as critical points.

(b) Linear system near (0, 0):

Near (0, 0), linear system becomes

\($\frac{d}{dt} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}0 & -2 \\ 1 & 0\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix}$\)

Linear system near (1, 1): Near (1, 1), linear system becomes

\($\frac{d}{dt} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}-1 & -2 \\ 1 & 0\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix}$\)

(c) Eigenvalues of the linear system near (0, 0):

\($\begin{vmatrix}0 - \lambda & -2 \\ 1 & 0 - \lambda\end{vmatrix} = 0$\)

λ² + 2 = 0

Eigenvalues are ±√2i.

Eigenvalues of the linear system near (1, 1):

\($\begin{vmatrix}-1 - \lambda & -2 \\ 1 & 0 - \lambda\end{vmatrix} = 0$\)

λ² + λ + 2 = 0

Eigenvalues are complex and not real.

(d) The phase portrait of the nonlinear system is as follows:

As we can see from the phase portrait, at the critical point (0, 0), the eigenvalues of the linear system are purely imaginary, which means the origin is a center.

At the critical point (1, 1), the eigenvalues of the linear system have non-zero real parts, which means the critical point is unstable.

So, from the phase portrait, we can conclude that (0, 0) is a stable equilibrium point and (1, 1) is an unstable equilibrium point.

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