give a name for the shaded angle below​

Answer:

48

Step-by-step explanation:

80% of 60= 48

hope this helps

Rounding up to the nearest whole number, we get a sample size of 543.

To determine the sample size required to estimate the average time college students spent on social media applications in a typical day with a margin of error of 0.1 hrs and a 98% level of confidence, we can use the following formula:

n = \((z \times s / E)^2\)

where:

n is the required sample size

z is the z-score associated with the desired level of confidence (in this case, 2.33, which can be obtained from a standard normal distribution table)

s is the sample standard deviation (1 hr)

E is the desired margin of error (0.1 hrs)

Substituting the values, we get:

n =\((2.33 \times 1 / 0.1)^2\)

n = 542.89

Rounding up to the nearest whole number, we get a sample size of 543.

A sample size of at least 543 college students to estimate, on average, how much time they spent on social media applications in a typical day with a margin of error of 0.1 hrs and a 98% level of confidence.

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The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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Answer:

its b

Step-by-step explanation:

Answer:

\(f(x) = 144\)

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

\(f(-4) = 10(-4)^{2} + 3(-4) - 4\)

\(f(-4) = 10(16) - 12 - 4\)

\(f(-4) = 160 - 16\)

\(f(-4) = 144\)

Answer:

The answer is :

D. a pair of corresponding angles with measures of 60° and 60°

The following scenarios is NOT a possible result that is a pair of corresponding angles with measures of 60° and 60°. so the correct option is D.

The Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.

Also, due to polygon being regular, let it be having 'n' sides, all the exterior angles are of same measure, and therefore, their measure is (360/n)°.

It is given that Two parallel lines were cut by a transversal.

Thus, the following scenarios is NOT a possible result that is a pair of corresponding angles with measures of 60° and 60°.

Hence, the correct option is D.

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Answer:

A.

Step-by-step explanation:

Plz mark brainliest

Answer:

A. 26

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Just add the number of kids disregarding their age

Answer:

The correct answer is 15.

Step-by-step explanation:

To get this answer, all we have to do is add up the data from the graph.

3 + 4 + 2 + 5 + 1 = 15

Hope this helps:) Goodluck!

Answer:

Step-by-step explanation:

6x-y=-5

-6x+y=5

Adding the 2 equations we have:

0 + 0 = 0

0 = 0

This means there are infinite solutions

- the equations are identical.

System B

x+3y=13

-x+3y=5

Adding:

6y = 18

y = 3.

x = 13 - 3(3) = 4.

The system has a unique solution

(x. y) = (4, 3).

Answer:

B

Step-by-step explanation:

sana nakatulong mga lods

Answer:

9 coach tickets and 5 first class tickets

Step-by-step explanation:

340 x 9 = 3060

960 x 5 = 4800

3060 + 4800 = 7860

Answer:

1000000

Step-by-step explanation:

Answer: 1000000

Step

no

step

(a) The statement assumes that the population mean of radon in New Brunswick houses (β) is equal to the EPA cutoff of 4.

The null hypothesis can be written as:

H0: β = 4

(b) The alternative hypothesis can be written as:

Ha: β ≠ 4

This statement suggests that the population mean of radon in New Brunswick houses (β) is not equal to the EPA cutoff of 4.

(c) When testing this null hypothesis, a two-tailed test is used. This is because the alternative hypothesis does not specify a direction (greater than or less than), but instead allows for the possibility that the population mean can differ from the EPA cutoff in either direction.

(d) To test the null hypothesis, we need to use an estimator of β. In this case, the sample mean (x) will serve as the estimator of β. The formula for the variance of this estimator, assuming simple random sampling, is:

Var(x) = σ²/n

Here, σ represents the population standard deviation and n is the sample size. To estimate this variance formula, we need the sample standard deviation (s). The estimated variance formula becomes:

Var(x)≈ s²/n

To obtain a standard error for the estimator of β, we take the square root of the estimated variance:

SE(x) ≈ √(s²/n)

4. To test the null hypothesis using a t-test, we will compute the t-statistic using the formula:

t = (x-β) / (SE(x))

In this case, since β is known (4), the formula simplifies to:

t = (x- 4) / (SE(x))

To carry out the test at the 5% significance level (α = 0.05), we will compare the computed t-statistic to the critical value(s) from the t-distribution with appropriate degrees of freedom. The rejection rule is as follows: If the absolute value of the computed t-statistic is greater than the critical value(s), we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

The result of the test will indicate whether there is sufficient evidence to reject the null hypothesis or not.

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Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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The solution is 22.5

To solve the given equation, rewriting the equation -

√(2x + 3) - 7 = 0

Shifting 7 to the Right Hand Side of the equation

√(2x + 3) = 7

Taking square on both sides of the equation

(√(2x + 3))² = 7²

Solving the square

2x + 3 = 49

Shifting 3 to the Right Hand Side of the equation

2x = 49 - 3

Performing subtraction on Right Hand Side of the equation

2x = 45

Shifting 2 to the Right Hand Side of the equation

x = 45 ÷ 2

Performing division on the Right Hand Side of the equation

x = 22.5

Hence, the solution is 22.5

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The dimensions of the rectangle are a length of 4 feet and a width of 10 feet.

The area is given as 40 square feet, and the length is x feet while the width is (x + 6) feet.

40 = x × (x + 6)

Expanding the equation, we get:

40 = x² + 6x

Rearranging the equation to standard quadratic form, we have:

x² + 6x - 40 = 0

Now, we can solve this quadratic equation by factoring,

(x - 4)(x + 10) = 0

x - 4 = 0 or x + 10 = 0

Solving these equations, we find two possible values for x:

x = 4 or x = -10

Since the dimensions of the rectangle cannot be negative, we can disregard x = -10.

Therefore, the value of x is 4 feet.

Substituting this value back into the expression for the width, we can find the width of the rectangle:

Width = x + 6 = 4 + 6 = 10 feet

So, the dimensions of the rectangle are a length of 4 feet and a width of 10 feet.

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Answer:

I think the answer might be A. True

Step-by-step explanation:

...

Answer:

Statement A is true.

Step-by-step explanation:

If the equation of a function is a rational expression, then the function is considered rational. A rational expression is defined as a ratio of two polynomial expressions. In other words, the numerator and denominator of the rational expression are polynomial expressions. Therefore, a rational function is defined as the quotient of two polynomial functions, which is also known as a rational expression.

Answer:

d= -6

Step-by-step explanation:

56 = -8d + 8

1) You want to get d by itself. Subtract 8 from both sides.

56 = -8d + 8

- 8           - 8

(8 - 8 = 0, and 56 - 8 is 48.)

48 = -8d

2) Then, you divide my -8 on both sides.

(48 / -8 is -6, and -8d / -8 is just d.)

-6 = d

So, d = -6

Answer:

Step-by-step explanation:

-8d+8-8=56-8

-8d=48

48/-8

D=-6

Answer:

Number of 10 cent coins = 14

Number of 50 cent coins = 7

Step-by-step explanation:

Let the number of coins of 10 cents = a

and the number of coins of 50 cents = b

Total count of coins = 21

a + b = 21  ---------(1)

Value of 10 cent coins = $0.10

Value of a coins of 10 cents = 0.10a

Value of 50 cent coins = $0.50

Value of b coins of 50 cents = 0.50a

The value of these coins = $4.90

0.10a + 0.50b = 4.90

a + 5b = 49 --------(2)

By subtracting equation (1) from equation (2)

(a + 5b) - (a + b) = 49 - 21

4b = 28

b = 7

From equation (1),

a + 7 = 21

a = 21 - 7

a = 14

Therefore, number of 10 cents coins = 14

number of 50 cent coins = 7

Answer:25

Step-by-step explanation:

the solution of the given Bernoulli equation using the substitution y = v⁻² is y(t) = t⁷/[C - (7/2)t⁷ln t].

The given Bernoulli equation is t²y' + 7ty − y³ = 0, t > 0We need to solve the Bernoulli equation by using this substitution.

The substitution is y = v⁻².Substituting the value of y in the Bernoulli equation we get, y = v⁻²t²(dy/dt) + 7tv⁻² - v⁻⁶ = 0Multiplying the whole equation by v⁴, we get:

v²t²(dy/dt) + 7t(v²) - 1 = 0This is a linear differential equation in v². By solving this equation, we can find the value of v².

The general solution of the above equation is:v² = (C/t⁷) - (7/2)(ln t)/t⁷

where C is the constant of integration.

Substituting v² = y⁻¹, we get:

y(t) = t⁷/[C - (7/2)t⁷ln t]

Therefore, the solution of the given Bernoulli equation using the substitution y = v⁻² is y(t) = t⁷/[C - (7/2)t⁷ln t].

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Let

x = number of tickets

y = cost

For each row, divide the cost over the number of tickets

Row one:  y/x = 3/2 = 1.5

Row two: y/x = 6/4 = 1.5

Row three: y/x = 9/6 = 1.5

Row four: y/x = 12/8 = 1.5

Row five: y/x = 15/10 = 1.5

The constant of proportionality is 1.5

This means each ticket costs $1.50

Answer:

d) 10

Step-by-step explanation:

x ÷ \(\frac{1}{2}\)  + 8 = 13

substitute 10 for x:

⇒ 10 ÷ \(\frac{1}{2}\)  + 8 = 13

solve:

1) divide 10 by \(\frac{1}{2}\)

⇒ 10 ÷ \(\frac{1}{2}\)  = 5

2) add 8 to 5

⇒ 8 + 5 = 13

Answer:

16/r

Step-by-step explanation:

16 is how many people there is in total, r is how they are being divided :)

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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The value of a is 10 by solving the quadratic equation by completing the square method.

In this question,

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.

The quadratic equation is

10x^2 + 40x - 13 = 0

Solving the quadratic equation by completing the square as

Step 1:

10x^2 + 40x = 13

Step 2:

10(x^2 + 4x) = 13

Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.

Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.

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