Helpppp!!! The question says “which pair of linear equations described the graph of two perpendicular lines?” The options are

A. Y-2=3(x+1)
Y+4=1/3(x-5)

B. Y-2=3(x+1)
Y+4=3(x-5)

C. Y-2=3(x+1)
Y+4=-1/3(x-5)

D. Y-2=3(x+1)
Y+4=-3(x-5)

Answer: Yes.

Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.

Answer: -25

Step-by-step explanation:

The required integer that shows that 25 feet below the sea level is -25.

Given that,
To determine the in integer that represents 25 feet below sea level.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The sea level is set to equal to 0,
Now height above the seal level comprises of positive sign, and the height below the sea level comprises of negative sign.
So, for  25 feet below sea level,
-25 is the required integer that represents the  25 feet below sea level.

Thus, the required integer that shows that 25 feet below sea level is -25.

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Answer:

x = 84/5 = 16.8

Step-by-step explanation:

The angle bisector theorem said that

21/15 = x/12

==> 7/5 = x/12

==> x = 84/5

The area of a square is given by A = x², and its area is given by dA/dt = 2x(dx/dt). The square's sides increase at 4 m/s, so dx/dt = 4. Substituting dx/dt = 4 and A = 16m², we get dA/dt = 8x, which equals 32 m²/s.

Let x be the length of the square, then its area, A can be given by:A = x²Differentiating the above expression with respect to t, we have:

dA/dt = 2x(dx/dt)Given that the sides of the square is increasing at a rate of 4 m/s.

Therefore, we can say that dx/dt = 4.Substituting dx/dt = 4 and A = 16m² into the expression

dA/dt = 2x(dx/dt), we have:

dA/dt = 2x(dx/dt)

= 2x(4)

= 8x

= √A (since A = x²)

Therefore, x = √16 = 4m

Substituting this value of x into the expression dA/dt = 2x(dx/dt),

we have: dA/dt

= 8x

= 8(4)

= 32 m²/s

Therefore, the rate of change of the area of the square is 32 m²/s when the area of the square is 16m².

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Given:

Annual earnings = $17,500

Asked: What is the gross amount of her semimonthly paycheck?

Solution:

To find the answer, we need to divide first the annual earnings by 12 to get the monthly paycheck. After that, we will divide it by 2 because we are looking for the semimonthly paycheck.

ANSWER: C. $729.17

Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.

One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.

Complete and correct Question:

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.

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Theorem 6.11, also known as the parallelogram law, states that the sum of the squares of the lengths of the two diagonals of a parallelogram is equal to the sum of the squares of the lengths of all four sides. Mathematically, we can express this as:

\(AC^2 + BD^2 = AB^2 + BC^2 + CD^2 + DA^2\)

where AB, BC, CD, and DA are the four sides of the parallelogram, and AC and BD are the two diagonals.

To construct a parallelogram using Theorem 6.11, we can start by drawing two perpendicular lines intersecting at a point, which will be the point where the diagonals of the parallelogram intersect. We can then measure the lengths of these two perpendicular lines and use them as the lengths of the two diagonals of the parallelogram. We can then draw the two diagonals of the parallelogram and measure their lengths, and use Theorem 6.11 to calculate the lengths of the four sides of the parallelogram. Finally, we can draw the four sides of the parallelogram using these lengths.

Here is an example of how to construct a parallelogram using Theorem 6.11:

Draw two perpendicular lines that intersect at a point, and label the point of intersection as O.

Measure the lengths of the two perpendicular lines, and label them as AC and BD, which will be the lengths of the two diagonals of the parallelogram.

Draw the two diagonals of the parallelogram, AO and CO, and measure their lengths.

Use Theorem 6.11 to calculate the lengths of the four sides of the parallelogram:

\(AB^2 = AO^2 + BO^2 - 2(AO)(BO)\)cos(∠AOB)

\(BC^2 = BO^2 + CO^2 - 2(BO)(CO)\)cos(∠BOC)

\(CD^2 = CO^2 + DO^2 - 2(CO)(DO)\)cos(∠COD)

\(DA^2 = DO^2 + AO^2 - 2(DO)(AO)\)cos(∠DOA)

where ∠AOB, ∠BOC, ∠COD, and ∠DOA are the angles between the two diagonals and the sides of the parallelogram.

Draw the four sides of the parallelogram using the calculated lengths.

Note that there are many ways to construct a parallelogram, and Theorem 6.11 is just one of them.

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Answer:

24.5 pi in^2

or 76.93 in^2 (Multiplied by 3.14)

Step-by-step explanation:

A = piR^2

Answer:

6) 60°

7) 24.25°

8) 28°

Step-by-step explanation:

I’m not 100% sure but hope this helps.

Answer:

6. u = 60

7. 24.25°

8. 28°

Step-by-step explanation:

6. First we know that a triangle is 180 degrees. So we would do 30+90+u=180

120+u=180

-120    -120

u = 60

By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.

To solve the given equation we have to do the factorization.

What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors.  In other words, we can say finding what to multiply together to get an expression.

To do the factorization, we have to follow the steps as shown below:

 \(x^{2} +3x-40\) \(= 0\)

\(-40 = 8 * -5\\\)                        [ multiplication of 8 and -5 is -40]

\(x^{2}+8x-5x -40\) \(= 0\)

\(x(x+8) -5(x+8)\) \(= 0\)

\((x-5)(x+8)\) \(= 0\)

\(x = 5\)   and  \(x = -8\)              [ The roots or zeroes]

From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.

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Answer: 1.24413 x \(10^{9}\)

Step-by-step explanation:

Answer:

1.24413•10^9

Step-by-step explanation:

1.24413•10^9=

1,244,130,000

Okay, here we have this:

Using the Pythagorean theorem we obtain:

c²=√113²-8²

c²=113-64

c²=49

c=√49

c=7

Finally we obtain that the correct answer is the option D.

False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.

A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.

Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.

The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.

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Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

a) The bird would fly approximately 4.17 km in a straight line from the starting point to the final point. b) The bird would fly at an angle of approximately 47.46 degrees counterclockwise from the east.

To find the distance and angle that a bird would fly in a straight line from the starting point to the final point, we can use the concept of vector addition.

(a) Distance:

The person's total displacement can be represented as a vector sum of their individual movements: 2.8 km north + 2.9 km west - 5.8 km south.

To simplify this, we can break it down into horizontal (x-axis) and vertical (y-axis) components:

Horizontal displacement = -2.9 km (west)

Vertical displacement = 2.8 km (north) - 5.8 km (south) = -3 km (south)

Now, we can calculate the straight-line distance using the Pythagorean theorem:

Distance = √(Horizontal displacement² + Vertical displacement²)

= √((-2.9 km)² + (-3 km)²)

= √(8.41 km² + 9 km²)

= √(17.41 km²)

≈ 4.17 km

Therefore, the bird would fly approximately 4.17 km in a straight line from the starting point to the final point.

(b) Angle:

To determine the angle counterclockwise from the east, we can use trigonometry. The angle can be found using the inverse tangent function:

Angle = arctan(Vertical displacement / Horizontal displacement)

= arctan((-3 km) / (-2.9 km))

= arctan(1.034)

≈ 47.46 degrees

Therefore, the bird would fly at an angle of approximately 47.46 degrees counterclockwise from the east.

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To test the claim that the color distribution of candies in a package is as claimed, a hypothesis test can be conducted. The correct answer is A. Goodness of Fit Test.

The hypothesis test needed in this case is the chi-square goodness-of-fit test. This test is used to determine whether an observed frequency distribution differs significantly from an expected frequency distribution. In this scenario, the null hypothesis (H0) assumes that the color distribution in the package matches the claimed distribution, while the null hypothesis (H1) assumes that they are different.

To perform the chi-square goodness-of-fit test, we first need to calculate the expected frequencies for each color based on the claimed percentages. The expected frequency for each color is calculated by multiplying the claimed percentage by the total number of candies in the package (100).

Next, we compare the observed frequencies (given in the sample data) with the expected frequencies. The chi-square test statistic is calculated by summing the squared differences between the observed and expected frequencies, divided by the expected frequency for each color.

Finally, we compare the calculated chi-square test statistic with the critical chi-square value at the chosen significance level (0.025 in this case) and degrees of freedom (number of colors minus 1) to determine if we reject or fail to reject the null hypothesis. If the calculated chi-square value exceeds the critical value, we reject the null hypothesis and conclude that there is evidence to suggest that the color distribution is not as claimed. Conversely, if the calculated chi-square value is less than or equal to the critical value, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the color distribution is different from the claimed distribution.

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number line and plot a closed circle at -2 and another closed circle at 4

What is inequality ?

Inequality is a mathematical statement that compares two values or expressions using an inequality symbol such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to). Inequality indicates that one value is not equal to or may be greater or less than the other value or expression. For example, "x > 3" represents an inequality that says "x is greater than 3".

According to the question:
To represent the inequality -2<y<4, we use a number line and plot a closed circle at -2 and another closed circle at 4. Then, we draw a solid line between these two points to indicate that all values between -2 and 4 (excluding -2 and 4) satisfy the inequality. Alternatively, we can write it in interval notation as (-2, 4).

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What is the interval notation for the compound inequality? x ≤ 4 or x ≥ -2

Answer:

Step-by-step explanation:

Given

Converting to scientific format

Answer:

0.000013094 = 1.3*10^-5

Answer:

5=26

14=17

n=1

31n=31*1=31

Answer:

\(\frac{5}{-2}\)

Step-by-step explanation:

Slope (m) formula = \(\frac{rise}{run}\) =\(\frac{y2-y1}{x2-x1}\)

Insert the points (-3,-1),(-5,4)

\(\frac{4--1}{-5--3}\)=\(\frac{5}{-2}\)

Answer:

The slope of the line is 5/-2.

Step-by-step explanation:

You may use the slope method for the method on getting the answer. One is attatched for you to see.

A graph is also shown for you.

Answer:

85%

Step-by-step explanation:

Total no. of matches played,

→ x = 20 matches

No. of matches they won,

→ y = 17 matches

Now the win percentage will be,

→ (y/x) × 100

→ (17/20) × 100

→ 0.85 × 100

→ 85%

Hence, the percentage is 85%.

Answer:

Infinitely Many

Step-by-step explanation:

I got it right

Answer: 90 degrees

Step-by-step explanation:

Same-side interior angles thm states that the 90 deg angle and angle 3 are supplementary.

The answer is b, my teacher explained it to me on a test. Don't know if he's right because he was a substitute.