The slope of a line is . What is the slope of a line that is perpendicular to this line?

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Answer:

I think its C

Step-by-step explanation:

Thats my guesa

Therefore, there are approximately 889 faculty members at the college.

Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.

Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.

Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.

To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.

If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:

Number of faculty members = 16000 / 18

This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.

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Answer:

B

Step-by-step explanation:

The x component must be positive (3)

Option C, The research situation that would be most likely to use an independent-measures design is to compare the mathematics skills of 9th-grade boys versus 9th-grade girls.

An independent-measures design is used when there are two or more groups that are being compared and each individual only belongs to one group. In this research situation, the two groups being compared are 9th-grade boys and 9th-grade girls. Each individual in the study belongs to one group or the other, and they are not part of both groups. This makes it an ideal situation for using an independent-measures design.

Option a) examine the development of vocabulary as a group of children mature from age 2 to age 3 would likely use a within-subjects design, as the same group of children is being measured at two different time points.

Option b) Examining the long-term effectiveness of a stop-smoking treatment by interviewing subjects 2 months and 7 months after the treatment ends would also likely use a within-subjects design, as the same group of subjects is being measured at two different time points.

Option d) compare the blood-pressure readings before medication and after medication for a group of patients with high blood pressure would likely use a repeated-measures design, as the same group of patients is being measured at two different time points and the order of the measurements (before or after medication) is being controlled.

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Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

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Answer:

\(A\approx 707 \ ft^2\)

Step-by-step explanation:

Area of a circular sector

A circular sector is defined by a central angle θ and the radius of the circle r. The area of the circular sector is:

\({\displaystyle A={\frac {r^{2}\theta }{2}}}\)

Note: θ must be expressed in radians.

The lawn sprinkler rotates θ=90° to an area of radius r=30 feet.

Expressing θ in radians:

\(\theta=90*\pi/180=\pi/2\)

The area is:

\({\displaystyle A={\frac {30^{2}\pi/2 }{2}}}\)

\(A=706.9\ ft^2\)

\(\boxed{A\approx 707 \ ft^2}\)

Answer:

.32

Step-by-step explanation:

When converting percents to decimals, drop the percent sign, and move the decimal two places to the left.

~theLocoCoco

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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Answer:

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

See below ~

Step-by-step explanation:

Question 6(e) :

⇒ x² ≤ 16

Take square root on each side :

⇒ √x² ≤ √16

⇒ x ≤ 4 and x ≥ -4

⇒ -4 ≤ x ≤ 4

⇒ x² ≤ 16

Apply the absolute rule if x² < a then -√a < x < √a

⇒ -√16 ≤ x ≤ +√16

⇒ -4 ≤ x ≤ 4

First of all, The student should have subtracted both sides by 4

What he should have done:

\(\rightarrow \sf \dfrac{3}{x-2} > 4\)

\(\rightarrow \sf \dfrac{3}{x-2} -4 > 4 -4\)

\(\rightarrow \sf \dfrac{3}{x-2} -\dfrac{4(x-2)}{x-2} > 0\)

\(\rightarrow \sf \dfrac{3-4(x-2)}{x-2}} > 0\)

\(\rightarrow \sf \dfrac{3-4x+8}{x-2}} > 0\)

\(\rightarrow \sf \dfrac{-4x+11}{x-2}} > 0\)

\(\sf \large \boxed{\sf {\left \{ {{-4x+11 = 0} \atop {x-2 = 0}} \right. }}\)

⇒ -4x + 11 = 0, x - 2 = 0

⇒ -4x = -11, x = 2

⇒ x = 11/4 , x = 2

Solution satisfying the inequality:

⇒ 2 < x < 11/4

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

-5 33333333333/100000000000

Step-by-step explanation:

Answer:

-5 3333333/10,000,000

Step-by-step explanation:

all u have to do is divide 5.33333333333 by how much the places there are

To solve the equation 3/4 (x + 9) = 15, we can follow these steps:

Simplify the expression on the left-hand side by distributing the 3/4:

3/4 (x + 9) = 15

3/4x + 27/4 = 15

Subtract 27/4 from both sides to isolate the variable term:

3/4x + 27/4 - 27/4 = 15 - 27/4

3/4x = 33/4

Multiply both sides by the reciprocal of 3/4, which is 4/3, to solve for x:

(4/3) * 3/4x = (4/3) * 33/4

x = 11

Therefore, the solution to the equation 3/4 (x + 9) = 15 is x = 11.

The unit circle has the co-ordinates (-√2/2, -√2/2)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

           =-√2/2

and y=sin225

        =-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

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Answer:

525 will the answer

Step-by-step explanation:

Answer:

D is the answers for the question

Step-by-step explanation:

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Answer:

x=5/3 simplified x= 15/9

Step-by-step explanation:

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

Lets look through all 4 options.

A)

They rise upward to the right.

This is true, they are both increasing.

B)

Line x-1 starts on the x axis.  We assume that the area shown is the domain.

However, x+2 starts on the y axis.

False

C)

The distance of the starting point of each line from the origin is 2.

True.

D)  Steepness refers to slope.  They both have a slope of 1.  For one x they rise one y.  True.

Options A, C, and D are true

Hope this helps,

Jeron

:- )

Answer:

0.5 ㏑ | 1-2x | +c

Step-by-step explanation:

Formula:  ∫ 1/ax+b dx = 1/a ln Iax+bI +c

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Answer:

I think it is 4:3

Step-by-step explanation:

From $960,000 take away $720,000 and you get $240,000 and that $960,000 divide by $240,000 and you get 4 and you do the same with $720,000 and you get 3

The requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent $720,000 on her campaign.

The ratio of candidate A's campaign spending to candidate B's campaign spending,

= 960000 / 720000

= 96 / 72
= 4 / 3

Thus, the requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.

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Answer:

250 centimeters

Step-by-step explanation:

............

Answer:

first 2 I'm not sure about. for the first one I think its 0.5 if that's an option