Sandra runs a race which is 7.5 kilometers. How many miles does Sandra run in this race?

Answer:

Two signs.

Step-by-step explanation:

When adding positive numbers, count to the right. When adding negative numbers, count to the left. When subtracting positive numbers, count to the left.

Answer:

x = 29°

y = 45°

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Slope = (4-8) / (9-7) = -4/2 = -2

Answer:

The predicted score for the dependent variable will be of 198,454.4.

Step-by-step explanation:

Equation of a regression line:

The equation of a regression line has the following format:

\(y = ax + b\)

In which a is the slope and b is the intercept. x is the independent variable while y is the dependent variable.

A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19.

So \(y = 326.07x + 8.19\)

What will be the predicted score for the dependent variable if the independent variable is 608.6?

y when x = 608.6. So

\(y = 326.07*608.6 + 8.19 = 198454.4\)

The predicted score for the dependent variable will be of 198,454.4.

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Realized income is NOT part of your budget.

Income that has really been received or generated within a certain period is referred to as realized income. It stands for the money that has been made or acquired through a variety of sources, including work, investments, or commercial ventures.

Realized income is a crucial part of a budget since it shows the actual cash that a person or organization has available for budgeting and financial planning.

The income is what may be used for a variety of costs, savings, investments, or other financial objectives.

In order to appropriately reflect the financial resources available for controlling spending and making financial decisions, realized income is often included as part of a budget.

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Answer:

\(\angle ABC =60\)

Step-by-step explanation:

Given

\(\angle CAB = 75\)

The attached triangle

Required

Find \(\angle ABC\)

First, calculate \(\angle BCA\)

\(\angle BCA + 135 = 180\) --- angle on a straight line

\(\angle BCA = 180 - 135\)

\(\angle BCA = 45\)

\(\angle ABC\) is then calculated using:

\(\angle ABC + \angle BCA + \angle CAB =180\) -- angle in a triangle

\(\angle ABC + 45+ 75=180\)

\(\angle ABC =- 45- 75+180\)

\(\angle ABC =60\)

The numerator of the indicated expression is s+7.

The numbers 7, 14, 21, 28, 35, and 42 are the multiples of 7. 3 and 7 only share 21 as their smallest common number. 21 is the least common denominator as a result. The denominators can be multiplied by one another to find the common denominator for two or more fractions.

We were given the following rational expression:

where p is the numerator and q is the denominator, is the general representation of the rational expression.

So, the expression we provide is:

Assuming the LCM, the following expression can be rewritten as

Comparing (1) with the above-mentioned general rational expression

The numerator of the given expression is p=s+7.

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Answer:

y=x+100

Step-by-step explanation:

Step-by-step explanation:

Just :    5,8374

The charge for booking online is £1.4.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.

The below information will be used to solve for the charge for booking online (£c). The formula given is \(A = 3 + 1.6m + c\) where A = cost of the taxi ride (£A), m = number of miles travelled and c = charge for booking online (£c).

Substituting these values:

30 = 3 + 1.6 * 16 + c

30 = 3 + 25.6 + c

30 = 28.6 + c

c = 30 - 28.6

c = 1.4.

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The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Notice that:

Therefore the factors of the given equation are x-4 and x-3.

Answer:

38 yards^2

Step-by-step explanation:

we can make this a complete rectangle and find area by finding length by height

5x10

50 yards

Now we subtract the area of that tiny rectangle

3x4

12

50-12

38 yards^2

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Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

1a+12

Step-by-step explanation:

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

32

Step-by-step explanation:

to get the area of a parallelogram you just do base times height

The value of x in right angle whose hypotenuse is given 74 m  one angle is 90° and other angle given is 30° to the nearest tenth is approximately 37 meters.

The branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right triangles is known as Trigonometry. It involves studying the properties of trigonometric functions, which are mathematical functions that relate the angles of a triangle to the ratios of its sides.

In this triangle, the height is opposite the 30° angle and the hypotenuse is the longest side of the triangle. We can use the trigonometric function sine to relate the height and the hypotenuse:

sin(30°) = x / 74

To solve for x, we can multiply both sides by 74 and simplify:

x = 74 sin(30°)

x ≈ 37 (to the nearest tenth)

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Answer:

35.56 (rounded to nearest hundredth)

Step-by-step explanation:

1.8x = 64

x= 64/1.8

x = 35.56

Answer:

y

Step-by-step explanation:

f(x)'=7y+6x=42

7y=-6x+42

y=-6/7+42

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

\(A=50.24\ \text{unit}^2\)

Step-by-step explanation:

Given that,

The diameter of the circle, d = 8 unit

Radius, r = 4 units

We need to find the area of the circle. The formula for the area of a circle is given by :

\(A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2\)

So, the area of the circle is equal to \(50.24\ \text{unit}^2\).

Answer:

It's equal to itself. Here are the two ways to do this problem. ↓

The value of the correlation coefficient, r, is likely to be closer to 0. (Option 3)

The correlation coefficient, r, measures the strength and direction of the linear relationship between two quantitative variables. A value of r close to 1 indicates a strong positive linear relationship, a value close to -1 indicates a strong negative linear relationship, and a value close to 0 indicates no linear relationship.

When there is no relationship between two variables as observed on a scatterplot, the value of r will be close to 0, indicating that there is no linear relationship between the variables. This means that as one variable increases, the other variable does not increase or decrease in a predictable manner.

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Answer:

Hope the picture will help you