Neve built the following graph to model the flight of a rocket from Earth to outer space. Which of the following domains is appropriate for the graph and the context?

A) All Positive Real Numbers and Zero
B) All Real Numbers
C) All Negative Real Numbers and Zero
D) 0 to 2

Answer:

-7

Step-by-step explanation:

-9x-3=60

add 3 to each side to cancel -3

-9x-3+3=60+3

simplify

-9x=63

divide by -9 to cancel the -9

-9x/-9=63/-9

simplify

x=-7

Answer: y = -3x + 2

Step-by-step explanation: The slope-intercept form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m) of the linear function, we can use the formula:

m = (change in y) / (change in x)

By using two points in the table (-3,11) and (2,-4), we can find the slope:

m = ( -4 - 11) / ( 2 - (-3)) = -15 / 5 = -3

Now, we know the slope, we can use any point from the table to find the y-intercept (b) by substituting the point's x and y values into the equation and solving for b:

y = -3x + b

using the point (-3, 11)

11 = -3 * (-3) + b

11 = 9 + b

b = 2

So the equation of the linear function represented by the table in slope-intercept form is:

y = -3x + 2

The point estimate for the population mean of 12 SAT scores is approximately 579.1667 .

a) As shown in the following formula, the confidence interval for the difference between two population means is

Confidence interval = z(s2/n1 + s22/n2)(x1 - x2)

x1 = sampled in-state applicants' mean score

x2 = sample out-of-state applicants' mean score

s1 = sample standard deviation for candidates from within the state

s2 = sample standard deviation for candidates from outside the state

point estimate for mean = ∑Xi ÷ X = 6950 / 12 = 579.1667

b) n1 is the number of applicants who are residents of the state.

Number of applicants from outside the state, n2,

Because there are few samples, we would calculate the z score for a 90% confidence range from the t distribution table:

The confidence interval is :

Lower Limit = 579.1667 - Z(0.1/2)  104/√(12)

Lower Limit  =  529.7802

Upper Limit = 579.1667 + Z(0.1/2)  104/√(12)

Upper Limit  =  628.5532

90% Confidence interval is  ( 529.7802  ,  628.5532 )

The following formula provides the mean's confidence interval:

We can use the following formulas to determine the mean and sample deviation:

c) No, Sine the value 667 does not lies in the interval.

d)Sample size can be calculated by below formula

n = (( Z(α/2) * σ) / e )2

n = (( Z(0.05/2) * 104 ) / 10 )^2

Critical value  Z(α/2) = Z(0.05/2) = 1.96

n = (( 1.96 * 104 ) / 10 )2

n = 416

Required sample size at 95% confident is 416.

Since the confidence level is 0.90, or 90%, the values of and can be used to calculate the critical value a table.

To learn more about mean  visit:

https://brainly.com/question/12970960

#SPJ4

The fraction which would be gotten when 10 in² is divided by 10 yd² is; 1 / 1296.

Since it follows from the concept of conversion and conversion factors that;

1 yard is equivalent to 36 inches;

It therefore follows in that regard that;

1 square yard is equivalent to; 1296 in².

Hence, the given fraction; 10 in² / 10 yd² can be written as follows;

= 10 in² / 1296 in²

= 10 / (10 × 1296)

= 1 / 1296.

On this note, the required fraction when 10 in² is divided by 10 yd² is; 1 / 1296.

Read more on conversion factor;

https://brainly.com/question/97386

#SPJ1

Answer:

the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.

so

none of the above.

Answer:

d

Step-by-step explanation:

none of the above

Answer:

x=13

y=32

Step-by-step explanation:

x+y=45

x+19=y

45-y+19=y

2y=64

y=32

x=13

Answer: The other number is 19 more than that number represented by x + 19

Equation: x + (x + 19) = 45

The numbers are 13 and 32

Step-by-step explanation:

So we know that the sum is 45, and that one of the numbers in the equation is 19 more than the other. We can call one of the numbers "x". The instructions tell us that the second number is 19 more than x, so the second number can be written as this equation: x+19

Equation: x + (x + 19) = 45

2x + 19 = 45

2x = 26

x = 13

Plug x back into the equation to find the second number (x + 19)

x + 19

13 + 19 = 32

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

Learn more about trigonometric equation here:

https://brainly.com/question/28025415

#SPJ1

The segment XY is a tangent to circle Z.

What is tangent to a circle?

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.

To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.

If the triangle XYZ is a right triangle, then we have

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

 12.96 +7.29 = 20.25            it's true.

Therefore, the segment XY is a tangent to circle Z.

To know more about the tangent to a circle, click on the link

https://brainly.com/question/11067500

#SPJ13

In this problem, we are trying to choose between using a permutation and a combination.

The main difference between the two is the order.

In a combination, order doesn't matter, but it does matter in a permutation. Since the coach is choosing people based on how they performed, this will be a permutation.

For the first box on your screen, you should drag and drop the "P" variable for permutation.

Next, we need to apply the permutation formula:

I'm assuming there are a total of 14 players on the team? So we will let

Where n represents the total number of players, and r represents the number of people being chosen based on performance. Then we have:

You can drag the 14! to the numerator and the 11! to the denominator.

Finally, we need to simplify to get the final answer. We can always use a calculator, but I'll show the steps for simplifying here:

Multiply the remaining values:

The coach has 2184 ways to choose a player.

The Mean Value Theorem's result can be satisfied by any point c in the range (-7,7] for the functions j(x), g(x), f(x), and O(x).

The Mean Value Theorem (MVT) states that if a function f(x) is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that f'(c) = (f(b) - f(a))/(b - a).

Using this theorem, we can determine which of the given functions can have a point c in the interval (-7,7] that satisfies the conclusion of the MVT.

T-1: The function T-1 is not given, so it is unclear whether it satisfies the conditions for the MVT.

j(x) = x² - 1: j(x) is a polynomial function that is continuous and differentiable on the interval (-7,7], so it satisfies the conditions for the MVT.

g(x) = 30x - 173: g(x) is a linear function that is continuous and differentiable on the interval (-7,7], so it satisfies the conditions for the MVT.

f(x) = sin(x): f(x) is a trigonometric function that is continuous and differentiable on the interval (-7,7], so it satisfies the conditions for the MVT.

O(x) = 12: O(x) is a constant function that is both continuous and differentiable on the interval (-7,7], so it satisfies the conditions for the MVT.

Therefore, the functions j(x), g(x), f(x), and O(x) can all have a point c in the interval (-7,7] that satisfies the conclusion of the Mean Value Theorem.

To learn more about trigonometric function refer to:

brainly.com/question/6904750

#SPJ4

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

Answer:

I have no clue lol

Step-by-step explanation:

jbs k hk hovlclcoyistkhdlhxdino egg

Answer: $750 same as aussie eggs

Answer:

23 because the 24 side is a little bigger than the other side

Step-by-step explanation:

Explanation:

First we have to eliminate the parenthesis:

We can see that both sides of the equality are exactly the same. This means that any value of x will make the equation true. Therefore x can be any real number

Answer:

x can be any real number

Here, Isiah's credit card statement shows a debt of $385. This means that Isaih owes the credit card company a sum of $385.

The correct option would be option B:

-$385: Isiah owes the credit card company.

The zeros of a function are the values of x that, when evaluated in the function, make the output of the function to be zero.

A function is written in general form as y = f(x)

That notation says that, when we use the input "x" in a given function, that function "transforms" that input x into an output "y"

So y = f(x) is the value that the function takes for the input x.

A zero is an input of the function such that:

0 = f(x)

So the zeros are the inputs that have an output of zero, in this case you know that the function has a zero at 3, and as you can see, when x = 3, the function intercepts the x-axis, which is the axis defined by y = 0.

Learn more about the zeros of a function:

https://brainly.com/question/65114

#SPJ1

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

Read more on perimeter of a rectangle here: brainly.com/question/28695033

#SPJ1

Answer:

a. 823.23

Step-by-step explanation:

used a motgage calculator

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

79*

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The solutions of the equation are unique.

⇒ h = - 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - h - 12 = 5 (- 2h + 20) + 16h

Now,

Solve the equation for h as;

The expression is,

⇒ - h - 12 = 5 (- 2h + 20) + 16h

⇒ - h - 12 = - 10h + 100 + 16h

⇒ - h - 12 = 100 + 6h

⇒ - h - 6h = 100 + 12

⇒ - 7h = 112

⇒ h = - 112 / 7

⇒ h = - 16

Thus, The solutions of the equation are unique.

⇒ h = - 7

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

None of the given expressions (1), (2), (3), or (4) correctly calculates the area of the isosceles triangle. The correct expression is (1/2) * 14 * (7 * tan(44°)).

To calculate the area of an isosceles triangle, we need the base length and the height of the triangle. In this case, the base length is given as 14 inches, but the height is not provided.

However, we can use trigonometry to find the height of the triangle by using one of the base angles. Since the triangle is isosceles and the base angles are each 68°, we know that the remaining angle (at the top of the triangle) is 180° - 68° - 68° = 44°.

We can then use the trigonometric function tangent (tan) to find the height. The formula is: tan(angle) = opposite/adjacent.

tan(44°) = height/7, where 7 represents half of the base length.

Rearranging the equation, we have: height = 7 * tan(44°).

Now, we can calculate the area of the triangle using the formula: area = (1/2) * base * height.

Substituting the given values, we get:area = (1/2) * 14 * (7 * tan(44°)).

For such more questions on Isosceles triangle:

https://brainly.com/question/24371813

#SPJ11

Answer:

105-30-45-3028+10000000000000038492= 1.000000000000003e19

Step-by-step explanation:

I did the math

have a good day!!

Option (B) is correct. Thus, percentage of students with scores between 70 and 130 is 95% .

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation.

It reveals the average deviation of each score from the mean. Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that √(5.2/5) = 1.01 will be the standard deviation.

Here:

μ = 100, σ = 15

Thus we have

30 μ - kσ = 70

= 100 – k(15) = 70

= k= 30/15 = 2

Also we have, μ + Ασ: = 130

100+ k(15) = 130

k = 30/15 = 2

Now, the percentage of students with scores between 70 and 130 is same as the percentage of students between μ - 2σ, μ+ 2σ  and by empirical rule the area between μ (+-) 2σ  is 95%. Thus, percentage of students with scores between 70 and 130 is 95%

To learn more about Standard Deviation Visit : brainly.com/question/475676

#SPJ4

Answer:

volume of sphere =4/3×πr³=4/3×π×r³

Step-by-step explanation:

hope it is helpful to you

Answer:

y = 5/4x - 8

Step-by-step explanation:

first you convert the equation to y = mx + b

then you add the the -8 into the x and the 2 into the y and solve for b

b = -8 and since it is parallel same slope.

hope this helps :)

The person whose fruit salad will taste more melony is Genesis. The Option B is correct.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

We need to compute the melon percentage to determine whose fruit salad will taste more melony:

1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:

= 14/(3+14) × 100

= 82.3529411765

= 82.35%

2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:

= 6/7 × 100

= 85.7142857143

= 85.71%

Read more about percentages on:

brainly.com/question/24877689

#SPJ1