plz help my mind is like BLANK rn
What is the word UP mean in a sentence
1. Preposition
2.Conjunction
3.Interjection
4.Verb

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The graph doesn’t go left to x = 3, so the answer is 3

Answer:

3500

Step-by-step explanation:

1000 + 2000+500= 3500

ON GAWD

Answer:

-6

Step-by-step explanation:

in y=mx+b the slope is m so the answer is in the question :)

The measure of the angle of the triangle is ∠A = 51.3178°

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides are

AB = 24 units

AC = 15 units

Now , from the trigonometric relations , we get

cos θ = adjacent / hypotenuse

So , cos θ = 15 / 24

cos θ = 0.625

Taking inverse on both sides , we get

θ = cos⁻¹ ( 0.625 )

θ = 51.3178°

Hence , the measure of angle ∠A = 51.3178°

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Answer:

∠C = 20° & ∠B = 40°

Step-by-step explanation:

let angle c be x

A.T.Q ∠B = 2x

Using angle sum property of triangle

∠A + ∠B + ∠C = 180

120° + 2x + x = 180

3x = 60

x = 20°

∴ ∠C = 20

∠B = 40

Answer:

∠ B = 40° , ∠ C = 20°

Step-by-step explanation:

the 3 angles in the triangle sum to 180° , that is

∠ A + ∠ B + ∠ C = 180° ( substitute ∠ B = 2 ∠C )

∠ A + 2 ∠ C + ∠ C = 180°

120° + 3 ∠ C = 180° ( subtract 120° from both sides )

3 ∠ C = 60° ( divide both sides by 3 )

∠ C = 20°

∠ B = 2 × ∠ C = 2 × 20° = 40°

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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To solve this question, find the 4 first terms of the sequence.

The first term is a₁

a₁ is given and a₁ = 7

The second term is a₂

Given:

Then, let's find a₂ using the value of a₁

The third term is a₃

let's find a₃ using the value of a₂

The fourth term is a₄

let's find a₄ using the value of a₃

Answer:

The four first terms are:

a₁ = 7

a₃ = 12

a₃ = 17

a₄ = 22

Each friend will get pounds 1.25 candy each

For five friends to split 6 1/4 pounds of candy equally amongst themselve, then 6 1/4 has to be divided by 5

6 1/4 = 25/4

25/4 ÷ 5 = 25/(4*5)

= 25/20

= 5/4

= 1.25

Each friend will get 1.25 pounds of candy each.

a. It is  okay to use these data for inference even though the population is skewed  because of the Central Limit Theorem.

b. The sampling model for the mean price of such samples is  a normal distribution with a mean of $58,993 and a standard deviation of $1,657

c. Yes, this interval provide evidence that starting salaries are unusually high for graduates from the business program at this university

d. The starting salaries must we survey to have 90% confidence of estimating the mean starting salary to within $1000 is 39 starting salaries

a. It is still okay to use these data for inference even though the population is skewed because of the Central Limit Theorem. The theorem states that for a large enough sample size (n > 30), the distribution of the sample means will be approximately normal, regardless of the distribution of the population.

b. The sampling model for the mean price of such samples is a normal distribution with a mean of $58,993 (same as the population mean) and a standard deviation of $1,657 ($11,717 / sqrt(50)).

c. Yes, this interval provides evidence that starting salaries are unusually high for graduates from the business program at this university. The interval does not include the nationwide mean of $58,993, which suggests that the mean starting salary for finance majors from this business program is significantly higher than the national average.

d. To have 90% confidence of estimating the mean starting salary to within $1000, we need to find the sample size that gives a margin of error of $1000, which can be expressed as:

Margin of Error = z* (standard deviation / sqrt(n)) = 1000

Where z* is the z-score that corresponds to a 90% confidence level, which is 1.645. Solving for n, we get:

n = (z* * standard deviation / Margin of Error)^2 = (1.645 * $11,717 / $1000)^2 = 38.6

Rounding up to the nearest whole number, we need to survey at least 39 starting salaries to have 90% confidence of estimating the mean starting salary to within $1000.

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The median value must be higher than the mean, which is 68 in this case, so option C is correct.

Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

Given:

The mean of a negatively skewed distribution is 64.

Calculate the median by hit and trial method,

When a distribution is negatively skewed, the distribution curve will not fall equally on either side of the median. The distribution curve will be shifted even more toward the bottom end. It will be so far below if the median value is only marginally below the median.

Therefore, the median value must be higher than the mean, which is 68 in this case.

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Answer:

18 boys

Step-by-step explanation:

30*0.4= 12

30-12=18

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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Answer:

126 sq metres

Step-by-step explanation:

area of triangle = 0.5 X base length X height

surface area = base square + 4 (triangles)

= (6X6) + 4(0.5 X 6 X 7.5)

= 36 + 4(22.5)

= 36 + 90

= 126 (sq metres)

Answer:

4x>74+9

Step-by-step explanation:

4x+2×45

2×45x

74x×2

4x>9

4x>74+9

Answer:

b and d i think.

Step-by-step explanation:

B passes through the ordered pairs negative 3, 8 and 2, negative 7.

D passes through the ordered pairs 1, 4 and negative 4, negative 1 and is extrapolated further in the quadrant.

Answer:

b and d

Step-by-step explanation:

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.

Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.

There are two main types of variables:

1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.

2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.

The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.

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Answer:

Divide Using Synthetic Division.

False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

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Home plate to second base is located at a distance of 90√2 feet.

A square is a rectangle in which each side is the same length. The distance separating the square's opposing vertices is known as the diagonal. The Pythagoras Theorem can be used to compute the diagonals:

Diagonal² = Side² + Side²

Diagonal² = 2 Side²

Diagonal = √2 Side

The answer to the question is that it is 90 feet from home plate to first base.

This is the length of the side that makes up the baseball diamond's square shape. The diagonal of the square is the distance from home plate to second base.

Diagonal = √2 Side

Diagonal = 90√2

Hence, home plate to second base is located at a distance of 90√2 feet.

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The question is incomplete. The complete question will be -

"A baseball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base?"

True. If matrix A is an n × n matrix with linearly independent eigenvectors v1, v2, ..., vn, then the n × n matrix P = [v1 v2 ... vn] forms a matrix of eigenvectors. In other words, the columns of matrix P are the eigenvectors of matrix A.

1. When a matrix A has linearly independent eigenvectors v1, v2, ..., vn, it means that each eigenvector corresponds to a distinct eigenvalue. The eigenvectors span the entire vector space of dimension n.

2. The matrix P = [v1 v2 ... vn] is constructed by arranging the eigenvectors v1, v2, ..., vn as columns. Since the eigenvectors are linearly independent, the matrix P formed by these columns is invertible.

3. When we multiply matrix P by its inverse P^(-1), we obtain the identity matrix I. This implies that P^(-1) exists and is the inverse of P.

4. Now, let's consider the equation A * P = P * D, where D is a diagonal matrix that contains the eigenvalues corresponding to the eigenvectors v1, v2, ..., vn along its diagonal.

5. Multiplying both sides of the equation by P^(-1) from the left, we get P^(-1) * A * P = P^(-1) * P * D, which simplifies to P^(-1) * A * P = D.

6. Since P^(-1) exists, we can rewrite the equation as A = P * D * P^(-1). This equation shows that matrix A can be diagonalized using the matrix P formed by the eigenvectors and its inverse P^(-1).

7. Therefore, matrix P = [v1 v2 ... vn] is indeed an n × n matrix consisting of linearly independent eigenvectors of matrix A.

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Answer:

y = 6x

Explaination:

slope intercept form is just y=mx+b, and since the slope is 6, you plug 6 into m, and then the y-intercept is 0, so you can drop it out of the equation

To construct a 90% confidence interval on the NY Jets average season points scored, we first need to find the sample mean, the sample standard deviation and the sample size. Sample Mean of the NY Jets average season points scored is given by is the individual score of the i-th game and n is the sample size.

The Sample Standard Deviation (S) of the NY Jets average season points scored is given by Now we need to find the Standard Error (SE) of the sample mean which is given by: Using the Z-score table for 90% confidence interval, we get the Z-score as 1.645.The formula for confidence interval is given by: Therefore, the 90% confidence interval on the NY Jets average season points scored is given by.

The likelihood the NY Jets will have a season with an average score greater than 30 points can be found by using the Z-score formula: We can use the sample mean and the sample standard deviation $S$ instead of the population mean and standard deviation respectively to estimate the probability of having an average score greater than 30.We already calculated that the sample mean. Therefore, the likelihood the NY Jets will have a season with an average score greater than 30 points is 99.92%.

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The solution to the inequality is x > 3

The number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

From the question, we are to determine the number line that represents the solution set for the given inequality

The given inequality is

3(8 – 4x) < 6(x – 5)

First, we will solve the inequality

3(8 – 4x) < 6(x – 5)

Clear the brackets

24 - 12x < 6x - 30

Collect like terms

24 + 30 < 6x + 12x

54 < 18x

Divide both sides by 18

3 < x

∴ x > 3

Hence, the number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

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Answer:

$49.35

Step-by-step explanation:

The formula for finding interest is I=Prt, where I is the interest, P is the principal, r is the rate, and t is the time.

I=(940)(0.07)(\(\frac{9}{12}\))

Since we are working with months, we have to put 9 months over the total number of months in a year, 12.

\(\frac{9}{12}\) simplifies to 0.75.

I=(940)(0.07)(0.75)

I=49.35

The interest is $49.35.

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Answer:

108

Step-by-step explanation:

The volume of the truck is 10*12*14=1680

So, answer = the volume of the truck / the volume of a cube

answer= 1680/15.625=107.52 = 108.

To find the values of the function f(x) = 9x + 3x² + 5, we substitute the given values of x into the function and calculate the corresponding outputs.

For f(-5), we substitute x = -5 into the function: f(-5) = 9(-5) + 3(-5)² + 5 = -45 + 75 + 5 = 35.

For f(-2), we substitute x = -2 into the function: f(-2) = 9(-2) + 3(-2)² + 5 = -18 + 12 + 5 = -1.

For f(6), we substitute x = 6 into the function: f(6) = 9(6) + 3(6)² + 5 = 54 + 108 + 5 = 167.

In summary, the values of the function f(x) = 9x + 3x² + 5 are f(-5) = 35, f(-2) = -1, and f(6) = 167.

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To find the equation of the line passing through the mid-point of the line segment joining (2, -6) and (-4, 2) and perpendicular to the line y = -x + 2, we need to follow the steps mentioned below.

Step 1: Find the mid-point of the line segment joining (2, -6) and (-4, 2).The mid-point of a line segment with endpoints (x1, y1) and (x2, y2) is given by[(x1 + x2)/2, (y1 + y2)/2].

So, the mid-point of the line segment joining (2, -6) and (-4, 2) is[((2 + (-4))/2), ((-6 + 2)/2)] = (-1, -2)

Step 2: Find the slope of the line perpendicular to y = -x + 2.

The slope of the line y = -x + 2 is -1, which is the slope of the line perpendicular to it.

Step 3: Find the equation of the line passing through the point (-1, -2) and having slope -1.

The equation of a line passing through the point (x1, y1) and having slope m is given byy - y1 = m(x - x1).

So, substituting the values of (x1, y1) and m in the above equation, we get the equation of the line passing through the point (-1, -2) and having slope -1 as:

\(y - (-2) = -1(x - (-1))⇒ y + 2\)

\(= -x - 1⇒ y\)

\(= -x - 3\)

Hence, the equation of the line passing through the mid-point of the line segment joining (2, -6) and (-4, 2) and perpendicular to the line y = -x + 2 is

y = -x - 3.

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