Which angle is adjacent to 24?
22
23
25
28

Answer: (-30, 10)

Step-by-step explanation:

A proportional relationship is of the form y=kx for some constant k.

From the point (60, -20), we know that k = -1/3.

So, we are looking for a point where the y coordinate is -1/3 of the x coordinate. This is satisfied by option 3.

Answer:

y = 2(x + 2)(2x - 3)

Step-by-step explanation:

Given

y = 4x² + 2x - 12 ← factor out 2 from each term

  = 2(2x² + x - 6) ← factor the quadratic

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 3(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 3)

Thus

2x² + x - 6 = (x + 2)(2x - 3) , and

y = 4x² + 2x - 12 = 2(x + 2)(2x - 3)  ← in factored form

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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The standard error in an independent-means t-test (also known as an independent samples t-test) and a one-sample t-test differ in terms of the populations they are comparing and how they are calculated.

Different types are:
1. Independent-means t-test: This test is used to compare the means of two independent samples (i.e., two separate groups of individuals). The standard error in this test refers to the difference between the means of these two groups. It is calculated using the following formula:

 Standard Error (SE) = √[(s1^2/n1) + (s2^2/n2)]
where s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes of the two groups.

2. One-sample t-test: This test is used to compare the mean of a single sample to a known population mean or a specified value. The standard error in this test, also known as the standard error of the mean (SEM), refers to the variability of the sample mean.

In summary, the standard error in an independent-means t-test refers to the difference between the means of two independent samples, while the standard error in a one-sample t-test (SEM) refers to the variability of a single sample mean. The calculations for each standard error are also different, as explained above.

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Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.

x = first number

y = second number

x=y+5

3x +2y = 30

lets substitute x=y+5 in the second equation for x;

3(y+5) + 2y =30

3y + 15 + 2y = 30

5y + 15 =30

5y = 30 -15

5y = 15

y = 3

Now that we have y lets plug that answer into either equation for y;

x = 3 + 5

x = 8

:) if I’m wrong I’m very sorry.

Answer:

1 coat rack is $561.30

Step-by-step explanation:

8,419.50/15=561.30

Answer:

X = 11.53

Step-by-step explanation:

 For the right angle triangle, the radius of the circle lies on the hypotenuse.

Therefore, according to pythagoras theorem; b² + 3² = 6.5²

b² = (6.5)² - (3)²

b² = 33.25

√b = 5.77

X= 5.7662 × 2

X = 11.53

Answer:

x=5 and x=-8

Step-by-step explanation:

take f(x)=g(x)

2x+30 = x2 +5x-10

you get above values of x

Answer:

x=8, y=4\(\sqrt{3}\)

Look up the 30-60-90 triangle rule

Answer:

x = 8, y = 4√3

Step-by-step explanation:

Use the 30-60-90 triangle.

Plug 4 in for x.

x = 2x = 2(4) = 8

y = x√3 = 4√3

The ratio of the number of female attendants to the number of male attendants is 21/17

let

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

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Answer:

The answer wound be C. {-6, -5, -4, 4, 5, 6}.

Step-by-step explanation:

For g(x) = 1:

|x| - 3 = 1

|x| = 4

The equation |x| = 4 has two solutions: x = 4 and x = -4.

For g(x) = 2:

|x| - 3 = 2

|x| = 5

The equation |x| = 5 has two solutions: x = 5 and x = -5.

For g(x) = 3:

|x| - 3 = 3

|x| = 6

The equation |x| = 6 has two solutions: x = 6 and x = -6.

Now, we have six possible values for x: 4, -4, 5, -5, 6, and -6. Therefore, the domain of g(x) = |x| - 3, given that the range is {1, 2, 3}, is {-6, -5, -4, 4, 5, 6}.

15 3/8

If Zeke has already shoveled 1/4 of the sidewalk, that means he has 3/4 left. Now you just have to find 3/4 of 20 1/2, which is 15 3/8.

Meaning: God strengthens. Zeke is a boy name of Hebrew origin. Ezekiel's diminutive and can be used as a nickname or first name by itself. Zeke means "God strengthens" and is a strong reminder that babies always draw strength from their faith. Zeke is a boy name of Hebrew origin. Ezekiel's diminutive and can be used as a nickname or first name by itself. Zeke means "God strengthens" and is a powerful reminder that babies can always draw strength from their faith.

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The trigonometric identity:

sin(x/2) = -√(1/12) , cos(x/2) = √(11/12), and tan(x/2) = -36/55.

Since sec(x) = 6/5 and x is in the fourth quadrant (270° < x < 360°), we can draw a reference triangle in the fourth quadrant, where the adjacent side is positive and the hypotenuse is 5 and the opposite side is -6.

Then we can use the half-angle formulas to find sin(x/2), cos(x/2), and tan(x/2):

sin(x/2) = ±√((1 - cos(x))/2)

cos(x/2) = ±√((1 + cos(x))/2)

tan(x/2) = sin(x)/(1 + cos(x))

Since x is in the fourth quadrant, sin(x) is negative and cos(x) is positive, so we take the negative square roots in both of the half-angle formulas to get the appropriate signs for sine and cosine:

sin(x/2) = -√((1 - cos(x))/2)

cos(x/2) = √((1 + cos(x))/2)

First, we need to find cos(x) from the given information. Since sec(x) = 6/5, we know that cos(x) = 5/6.

Then, we can substitute this value into the half-angle formulas to get:

sin(x/2) = -√((1 - 5/6)/2) = -√(1/12)

cos(x/2) = √((1 + 5/6)/2) = √(11/12)

Finally, we can use the half-angle formula for tangent to get:

tan(x/2) = sin(x)/(1 + cos(x)) = (-6/5)/(1 + 5/6) = -36/55.

Therefore, sin(x/2) = -√(1/12) , cos(x/2) = √(11/12), and tan(x/2) = -36/55.

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Given, Aika is building a square garden. She places a garden post at (3.5, 3.5)

To find: The location of the corner that reflects (3.5, 3.5) across the y-axis.

We know that the y-axis is the vertical line through the point (0,0) and it divides the plane into two parts: left and right. When we reflect a point across the y-axis, the x-coordinate changes sign. For example, the reflection of (2,3) is (-2,3).Therefore, the reflection of (3.5, 3.5) across the y-axis is (-3.5, 3.5)

Since Aika is building a square garden, the corner opposite to (3.5, 3.5) will have coordinates (-3.5, -3.5).

Hence, the location of the corner that reflects (3.5, 3.5) across the y-axis is (-3.5, -3.5).

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• The intersection of lines n and k is point V.

• Point X is the intersection of line m and plane A.

We can infer  the following from the diagram :

We can see that the intersection of any two planes will produce a line at the intersection point of plane A and plane S, the line CW is formed and also the lines intersect at a point, the intersection point of line n and line k is point V.

• The point X in the diagram is brought about by the intersection of line m on the plane A .

In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line.

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Answer:

= 66

Step-by-step explanation:

You got the value 9,

now you plug that into the equation for m<1

84 - 2 (9)

= 66

The equivalent inequality of -v >  -4 is v < 4

How to find the equivalent of -v > -4

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using only "equal to"

while solving inequalities and have to divide the both sides of the inequality by a negative number the inequality sign changes and this gives the equivalent

solving the equation

= -v >  -4

dividing through by -1

= v < 4

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Answer:

Step-by-step explanation:

Answer:  £6.50

Step-by-step explanation:

Let the cost of one jumper be x, and since Kara buys 5 jumpers, she pays for 4 and gets 1 free.

Therefore, she effectively pays for 4 jumpers. Now we can form the equation to find the value of x: (4x / 5) = (5.20)

Now solving the equation, we get; x = £6.50

Hence, the regular cost of one jumper when not in this offer is £6.50.

Answer:

Step-by-step explanation:

We need the rest of the question please.

Using a system of equations, the number of children who swam at the public pool that day was 268 while adults were 92.

A system of equations involves two or more equations solved simultaneously.

It is known as a system of equations or simultaneous equations.

The total number of people who used the public swimming pool = 360

Children's ticket = $1.50

Adult's ticket = $2.25

Total receipts on that day = $609

Let's form the following equations:

Let the number of children = x

Let the number of adults = y

x + y = 360 ... equation 1

1.50x + 2.25y = 609  ... equation 2

From equation 1, y = 360 - x ... equation 3

In equation 2, replace y = 360 - x and solve:

1.5x + 2.25(360 - x) = 609

1.5x + 810 - 2.25x = 609

-0.75x = -201

x = 268

In equation 3, replace x = 268 to find y:

y = 360 - 268

y = 92

Check:

Equation 2:

1.50x + 2.25y = 609

1.50(268) + 2.25(92) = 609

402 + 207 = 609

609 = 609

Thus, with our simultaneous equations, we can conclude that 268 children and 92 adults graced the swimming on that hot summer's day.

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The admission receipts totaled $609.

Answer: 6

Step-by-step explanation:

To calculate the fifth term of the sequence defined by f(n) = 3n - 9, we have to put 5 as the value of n in the equation. This will be:

f(n) = 3n - 9

f(5) = 3(5) - 9

= 15 - 9

= 6

Therefore, the fifth term is 6.

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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The vector normal to the plane passing through the points (-7,2,-1), (-2,1,-5), and (-2,2,-3) is <4,17,11>.

To find the vector normal to the plane passing through three given points, we need to first find two vectors lying on the plane. We can do this by taking the difference between the first two points and the last two points.

Vector 1: (-7,2,-1) - (-2,1,-5) = <-5,1,4>

Vector 2: (-2,2,-3) - (-2,1,-5) = <0,1,2>

Next, we take the cross product of these two vectors to get the normal vector:

<4,17,11> = <-5,1,4> x <0,1,2>

The resulting vector is perpendicular to both vector 1 and vector 2, and hence lies on the plane passing through the three given points.

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Answer:

1306 feet

Step-by-step explanation:

sin∅ = opp/hyp

sin21 = 468/hyp

hyp = 468/sin21

hyp = 1305.920355304657206

Rounded

1306 feet

The data source in this case is an advertisement, which is a form of secondary data.

Secondary data is information collected by someone other than the user. In this case, the television ad is promoting a specific car brand as being "considered to be the best" and suggesting that "now is the best time to replace your car". This information is not based on a sample or experimental data, but rather on the claims made by the car brand itself in their advertisement.

The data source in this case is secondary data, specifically an advertisement. This means that the information provided should be critically evaluated and further research should be conducted to verify its accuracy and reliability.

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The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.