The function f is defined as follows.
f(x)=4+x if x<0
x^2 if x≥0
​(a) Find the domain of the function.
​(b) Locate any intercepts.
​(c) Graph the function.
​(d) Based on the​ graph, find the range.

Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).

If np > 10 or n(1 - p) > 10 is true, the normal curve can be applied in this situation.

For example, if n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

It is thus useless.

B) In case n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

Not acceptable: n(1 - p) = 28(1 - 0.9) = 2.8

Thus, it cannot be applied.

C) With n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be utilized.

D) When n is 32 and p is 0.2

np = 32 × 0.2 = 6.4 < 10 Not Ok

So it is useless.

Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).

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In the given cyclic quadrilateral the measure of angle B is 81° and the measure of angle C is 112°.

In the given cyclic quadrilateral ABCD, ∠A=68° and ∠D=99°.

Cyclic quadrilaterals are quadrilaterals that can be inscribed in a circle. All of the vertices of a cyclic quadrilateral lie on the circumference of the same circle. This implies that the four sides of a cyclic quadrilateral are all taken by elements of the circumference and can all be expressed in terms of the same radius.

Opposite angles of cyclic quadrilateral are adds to 180°.

Here, ∠A+∠C=180°

68°+∠C=180°

∠C=180°-68°

∠C=112°

∠B+∠D=180°

∠B+99°=180°

∠B=180°-99°

∠B=81°

Therefore, in the given cyclic quadrilateral the measure of angle B is 81° and the measure of angle C is 112°.

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Answer:

A.) X = 4  (please mark brainliest)

Step-by-step explanation:

Alternate interior angles

21x + 6 must equal 90

21x + 6 = 90

21x = 84

x = 4

Answer:6

Step-by-step explanation:

Answer:

x= 15

Step-by-step explanation:

it is a 90 degree angle total as there is the red box over there. thus 4x +2x = 90

6x= 90

x= 90/6

= 15

Answer:

Difference = 480.9 in³

Step-by-step explanation:

Given

Cylinder;

Height, h = 3¾ inches

Radius, r₁ = 6 inches

Sphere

Radius, r₂ = 6 inches

The volume of a cylinder is calculated as thus

Volume, V₁ = πr₁²h

The volume of a sphere is calculated as this

Volume, V₂ = 4/3 πr₂³

Calculating the volume of the cylinder

V₁ = πr₁²h becomes

V₁ = π * 6² * 3¾

V₁ = π * 36 * 3¾

V₁ = π * 36 * 15/4

V₁ = π * 540/4

V₁ = π * 135

V₁ = 135π in³

Calculating the volume of the sphere

V₂ = 4/3 πr₂³ becomes

V₂ = 4/3 * π * 6³

V₂ = 4/3 * π * 216

V₂ = 864/3 * π

V₂ = 288π in³

The difference between the volume is calculated as thus.

Difference = V₂ - V₁

Difference = 288π - 135π

Difference = 153π

Take π as 22/7

Difference = 153 * 22/7

Difference = 480.9 in³ (Approximated)

Answer:

-4x

Step-by-step explanation:

3-7=-4 just add a x

Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c

What is uniformly?

The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).

To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.

Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.

Let's consider the series l~=l an - z. We can write it as:

l~=l an - l z.

Now, since |an| ≤ M for all n, we have:

|an - z| ≤ |an| + |z| ≤ M + c.

By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.

Now, using the triangle inequality, we have:

|l~=l an - z| ≤ |an - z|.

Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.

Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.

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Answer: For 20 hours it would be $1,500 and for 50 hours it would be $3,000.

Step-by-step explanation:

The equation for this problem would be y=50x+500.

Y is the total charge and x is the amount of hours. Plug in 20 and 50, and then you have your answer.

Answer:

Let c = number of child tickets

a = number of adult tickets

5.70c + 9.10a = 972.50

c + a = 139

5.70(139 - a) + 9.10a = 972.50

792.30 - 5.70a + 9.10a = 972.50

792.30 + 3.40a = 972.50

3.40a = 180.20

a = 53, c = 86

53 adult tickets and 86 child tickets were sold that day.

Answer:

I think its b

Step-by-step explanation:

Thanks to the person above me

Answer:

You should instead ask your teacher for help trust me that is what I do she helps me learn better than others.

Here is a straightforward recursion you may employ to calculate the value.

It should be noted that the formula $2n-1$ for the $1 times n$ case is incorrect if $n=0$.

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Answer:

The answer is B I think...

PLEASE GIVE ME BRAINLIEST!!!

Online learning is the practice of taking classes online as opposed to in a traditional classroom. if attending classes is difficult given your schedule.

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

x=9

Step-by-step explanation:

Answer:

3 × 6 = 18 3 + 6 = 9

Step-by-step explanation:

3 × 6 = 18 3 + 6 = 9

the sum of squares of number of 6,7 and 8 is 149.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

the product of three consecutive positive integers is 8 times thier sum.

So if 1st number is x

So the sum will be x+x+1+x+2 = 3x+3

and multiply will be x(x+1)(x+2)

according to question x(x+1)(x+2) = 24(x+1)

x³+3x²+2x = 24x+24

x = 6

So all the numbers will be 6,7 and 8

Hence the sum of their square is 36+49+64= 149

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Answer:

A and e

Step-by-step explanation:

The given system of equations is:

5d + 20e - 10% = -85 …………………..(1)

-20d + 394e = 223 ………………...(2)

4d + 13e = -106 …………………….(3)

We can solve this system of equations using the Gaussian elimination method. In this method, we convert the system of equations into an equivalent system of equations that is easy to solve by eliminating one variable at a time.The elimination process starts by multiplying the equations so that one variable cancels out. We can do this by multiplying both sides of an equation with a constant or by adding or subtracting two equations.

Here, the first equation has a percentage sign which we need to remove.

We can do this by dividing both sides of equation (1) by

10.5d/10 + 20e/10 - 1 = -85/10

⇒ 0.5d + 2e - 1 = -8.5

⇒ 0.5d + 2e = -7.5 ……………………..(4)

Now, we can use equations (2) and (4) to eliminate d.

Multiplying equation (2) by 2 and adding it to equation (4), we get,

2(-20d + 394e = 223) + (0.5d + 2e = -7.5)

⇒ -40d + 788e + 0.5d + 2e = -7.5 + 446

⇒ -39.5d + 790e = 438 ……………………...(5)

Multiplying equation (2) by 5 and adding it to equation (3), we get,

5(-20d + 394e = 223) + (4d + 13e = -106)

⇒ -100d + 1970e + 4d + 13e = -106 + 1105

⇒ -96d + 1983e = 999 ……………………(6)

Now, we can use equations (5) and (6) to eliminate d.

Multiplying equation (5) by 2 and adding it to equation (6), we get,

2(-39.5d + 790e = 438) + (-96d + 1983e = 999)

⇒ -79d + 1563e + (-96d + 1983e) = 876 + 1998

⇒ -175d + 3546e = 2874 …………………..(7)

We can simplify equation (7) by dividing both sides by 7,-25d + 506e = 410 ……………………..(8)

Now, we can use equations (4) and (8) to solve for e.

Multiplying equation (4) by 506/4 and adding it to equation (8), we get,

506/4 × (0.5d + 2e = -7.5) + (-25d + 506e = 410)

⇒ 253d + 506e - 1895 - 25d + 506e = 410

⇒ 228d + 1012e = 2305 ……………………(9)

We can simplify equation (9) by dividing both sides by

4,57d + 253e = 576 ……………………(10)

Now, we can use equations (4) and (10) to solve for d.

Multiplying equation (4) by 57/2 and adding it to equation (10), we get,

57/2 × (0.5d + 2e = -7.5) + (57d + 253e = 576)

⇒ 28.5d + 114e - 214.125 + 57d + 253e = 576

⇒ 85.5d + 367e = 790.125 …………………….(11)

We can simplify equation (11) by dividing both sides by 17,5d + 23e = 46.4166667 …………………….(12)

Now, we can use equations (4) and (12) to solve for e.

Multiplying equation (4) by 23/2 and adding it to equation (12), we get,

23/2 × (0.5d + 2e = -7.5) + (5d + 23e = 46.4166667)

⇒ 11.5d + 46e - 86.625 + 5d + 23e = 46.4166667

⇒ 16.5d + 69e = 133.0416667 ……………………..(13)

We can simplify equation (13) by dividing both sides by 3,5.5d + 23e = 44.3472222 ……………………..(14)

Now, we can use equations (4) and (14) to solve for e.

Multiplying equation (4) by 23 and subtracting it from equation (14), we get,

23 × (0.5d + 2e = -7.5) - (5.5d + 23e = 44.3472222)

⇒ 11.5d - 48.5e = -212.0972222 ……………………..(15)

We can simplify equation (15) by dividing both sides by 1.5,7.6666667d - 32.3333333e = -141.3981481 ……………………..(16)

Now, we can use equations (4) and (16) to solve for e.

Multiplying equation (4) by 32 and adding it to equation (16), we get,

32 × (0.5d + 2e = -7.5) + (7.6666667d - 32.3333333e = -141.3981481)

⇒ 16d + 64e - 240 + 7.6666667d - 32.3333333e = -141.3981481

⇒ 23.6666667d + 31.6666667e = 98.60185185 …………………..(17)

We can simplify equation (17) by dividing both sides by 1.6666667,

14.2d + 19e = 59.1611111 ……………………..(18)

Now, we can use equations (4) and (18) to solve for e.

Multiplying equation (4) by 19 and subtracting it from equation (18), we get,

19 × (0.5d + 2e = -7.5) - (14.2d + 19e = 59.1611111)

⇒ 9.5d - 41e = -186.3111111 ……………………..(19)

We can simplify equation (19) by dividing both sides by 1.9,

5d - 21.57894737e = -98.05789474 ……………………..(20)

Now, we can use equations (4) and (20) to solve for e.

Multiplying equation (4) by 21.57894737 and adding it to equation (20), we get,

21.57894737 × (0.5d + 2e = -7.5) + (5d - 21.57894737e = -98.05789474)

⇒ 43.15789474d + 0e = -252.5263158

⇒ 43.15789474d = -252.5263158

⇒ d = -5.85416667

Substituting the value of d in equation (4), we get,

0.5d + 2e = -7.5

⇒ 0.5(-5.85416667) + 2e = -7.5

⇒ e = -6.5

Now, we have the values of d and e, and we can substitute them in any equation to get the value of the remaining variable.

We can use equation (2),

-20d + 394e = 223

⇒ -20(-5.85416667) + 394(-6.5) = 223

⇒ 117.0833334 + (-2561) = 223

⇒ -2443.916667 = 223

This is not true, which means there is no solution to this system of equations. Hence, the system is inconsistent.

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Answer:

14 it is not 14

Step-by-step explanation:

Answer:

ITS NOT 14

Step-by-step explanation:

I got it wrong anything besides that

Therefore, the slope of the secant line between x1 = 4 and \(x^2 = 7\) for the function \(f(x) = 2x^2\) is 22.

We have the function \(f(x) = 2x^2\) and the values x1 = 4 and x2 = 7.

We can use the formula for the slope of the secant line between x1 and x2:

slope \(= \frac{(f(x_2) - f(x_1))}{(x_2 - x_1)}\)

First, we need to find f(x1) and f(x2):

\(f(x1) = 2x_1^2 = 2(4)^2 = 32\\f(x2) = 2x_2^2 = 2(7)^2 = 98\)

Substituting these values into the formula, we get:

\(slope = \frac{(98 - 32) }{(7 - 4)} = \frac{66}{3} = 22\)

The slope of a secant line is a measure of how steeply a curve is rising or falling between two points.

It is the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between two points on the curve.

Given two points (x1, y1) and (x2, y2) on a curve, the slope of the secant line between them is given by the formula:

\(slope = \frac{(y_2 - y_1)}{(x_2 - x_1)}\)

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Answer:

\(\boxed{BC = 11.62}\)

Step-by-step explanation:

Tan 54 = \(\frac{opposite}{adjacent}\)

Where opposite = 16, Adjacent = BC

1.376 = \(\frac{16}{BC}\)

BC = 16/1.376

BC = 11.62

Answer:

11.62468045 or 11.6 to 1 decimal place

Step-by-step explanation:

→ We need to utilise trigonometry. The first step would be to list out the formula triangles

Tan = Opposite ÷ Adjacent

Sin =  Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.

Opposite = AC = 16

Adjacent = BC = We need to find this out

Hypotenuse = AB = No given value

→ Now we look for a formula with hypotenuse

Tan = Opposite ÷ Adjacent

→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject

Adjacent = Opposite ÷ Tan

→ Now we identify the Opposite and the Tan

Opposite = 16

Tan = 54°

Side note ⇒ Sin, cos and tan will always be the angles

→ Substitute in the values in the formula

Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6

→ The adjacent is 11.6 to 1 decimal place

Answer: the last one

Step-by-step explanation:

um so the set begins with 40 and ends with 100 (look at that on the number line)

and so the median is essentially that middle line in the box, which is around 80

i assume yk how to calculate medians so I calculated the median of the first and the last answer

the first one was like 70, and the last one was like 78.9 which is close enough to 80

so i think its the last one

Answer:

It is answer number four.

Step-by-step explanation:

40 and 100 represent the outliers so both numbers must be included.

80 must also be included as it is the mean or average test grade.

Answer:

x=12,y=10

Step-by-step explanation:

Step: Solve x+3y=42

x+3y=42

x+3y+−3y=42+−3y(Add -3y to both sides)

x=−3y+42

Step: Substitute−3y+42forxin2x−y=14:

2x−y=14

2(−3y+42)−y=14

−7y+84=14(Simplify both sides of the equation)

−7y+84+−84=14+−84(Add -84 to both sides)

−7y=−70

Divide both sides by -7

y=10

Step: Substitute10foryinx=−3y+42:

x=−3y+42

x=(−3)(10)+42

x=12(Simplify both sides of the equation)

Hope this Helps:)

-Ac<3-

Answer:

1) m<1=42°

2) m<3=42°

3 m<4=138°

Step-by-step explanation:

1) m<1=180-138=42

2) m<3=180-138=42

3 m<4=138  (Alternate Interior Angle Theorem)