Makesha lost 60 pounds in 16 weeks. Find her rate of loss in pounds per week

Answer:

A

Step-by-step explanation:

1 inch is the diameter of the driven pulley.

Let's use D to represent the driven pulley's diameter. The speed decrease needed, according to the issue description, is a 4 to 1 reduction.

This implies that the ratio of the diameters is also 4 to 1, as the speeds are inversely proportional to the diameters:

D/4 = 1/4

Multiplying both sides by 4 gives:

D = 1

Therefore, the diameter of the driven pulley should be 1 inch.

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Step-by-step explanation:

so the total with the tip is $62.82 then divide by 3 so I believe your answer is $20.94

$15.70

Step-by-step explanation:

20% tip on $52.35 is $10.47

$10.47 + $52.35 = $62.82

$62.82 ÷ 4(him and 3 friends) = $15.70

So, each person would pay $15.70 if they split the bill evenly.

Answer: red = 9, yellow = 15 green = 24, total = 48 notepads were bought.

Step-by-step explanation:

3 x 3 = 9, so 9 red. 3 x 5 = 15, so 15 yellow. 3 x 8 = 24, so 24 green. In total this is equal to 48 notepads. 9 + 15 + 24 = 48.

The addition of the outlier will affect the distribution in that b) The distribution will become skewed left.

When a score of 12 is added as an outlier, it shifts the distribution of data towards the left-sided direction resulting in skewness. This can be deduced from observing that the median is closer to the lower end of the range of collected data.

Additionally, the introduction of the outlier has substantially decreased the mean value, indicating that the deviation value has pulled the mean downwards and altered the symmetry of the original distribution by making it asymmetrically distributed in a leftward manner.

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Answer:

Down There

Step-by-step explanation:

Radii:

Circle A - 8

Circle B - 13

Circle C - 17

Circle D - 14

Circle A Area:

(pi)(r)^2, where r = 8

64pi or about 201.06

Circle B Area:

(pi)(r)^2, where r = 13

169pi or about 530.93

Circle C Area:

(pi)(r)^2, where r = 17

289pi or about 907.92

Circle D Area:

(pi)(r)^2, where r = 14

196pi or about 615.75

Circle D is greater than Circle A's area by 132pi or about 414.69.

The probability of A and L is 0.25, rounded to two decimal places

To find the probability of A and L, we need to find the number of elements in the intersection of A and L and divide by the total number of elements in the set S.

A = {x ∈ S | x ≥ 21}

= {21, 23, 29, 30}

L = {x ∈ S | x < 25}

= {10, 11, 13, 19, 21, 23}

A ∩ L = {x ∈ S | x ≥ 21 and x < 25}

= {21, 23}

Therefore, the probability of A and L is:

P(A and L) = |A ∩ L|/|S|

= 2/8

= 0.25

Therefore, the required probability of A and L is 0.25, rounded to two decimal places

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The independent variable in the research question is the location of the universities, with SDSU being the specific location of interest. The dependent variable is the time it takes to find a parking spot.

The research question is seeking to compare the time it takes to find a parking spot at SDSU to the time it takes at other San Diego universities, with the location being the independent variable that may affect the dependent variable, which is the time taken to find a parking spot.

By identifying the independent and dependent variables in the research question, researchers can design a study that will collect data on these variables, analyze the data, and

draw conclusions about whether there is a significant difference in the time it takes to find a parking spot at SDSU compared to other universities in San Diego.

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Answer:

Step-by-step explanation:

54 - 18 = 36

so...

18 + 36 = 54

The resultant force is gotten  as 173.3780

A resultant force is described as  the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body via vector addition

we determine resultant force by following these steps:

See attached image for full working

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This has to do with the solution the quadratic equation given as: y=x² - 5x -14.

To factorize the quadratic equation - y =  x² - 5x -14, we need to find two numbers that multiply to -14 and add up to -5.

We can list out the factors of -14 as follows:

-1 and 14

1 and -14

-2 and 7

2 and -7

Out of these pairs, the numbers that add up to -5 are -2 and 7.

Therefore, we can factorize the equation as:

y = (x - 2)(x + 7)

To find the zeros or x-intercepts, we set each factor equal to 0 and solve for x:

x - 2 = 0, x + 7 = 0

x = 2, x = -7

So the solutions are (2, 0) and (-7, 0).

The axis of symetry is the average of the x-intercepts

This is (2 - 7)/2 = -2.5.

Substituting this  value into   the equation:

y = (-2.5 )² - 5 (-2.5 ) - 14 = -  20.25

So the vertex is (  -2.5, -20.25).

The domain of the function is all real numbers, since there are no restrictions on the input x.

The range of the function is y ≥ -20.25, since the vertex is the lowest point of the parabola and the graph extends upward from there. See the graph attached.

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Answer:

Step-by-step explanation:

...Negative.

Answer:

Negative

Step-by-step explanation:

Answer: -20

Step-by-step explanation: I got negative twenty because if f(x) equals negative thirteen the we add negative seven because we need to flip the sign since it is negative and when you add you get negative twenty

To check, simply solve the eqation the way it first was, for example, f(x)=-20+7 which would be correct, equaling -13

Hopefully this helped, I' sorry if i am wrong

Point T is the orthocenter of this triangle because it is the point where all the three altitudes of the triangle are intersecting each other.

Circumcenter : The point of intersection of the three perpendicular bisectors.

Incenter : The point of intersection of the three angle bisectors.

Centroid : The point of intersection of the three medians.

Orthocenter : The point where all the three altitudes of the triangle meet or intersect each other.

In conclusion, based on the information, Point T is the orthocenter of this triangle because it is the point where all the three altitudes of the triangle are intersecting each other.

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The amount to be invested now is  $173.9.

The amount to be invested now can be calculated using the formula for future value of an annuity as shown below;

FV = A x ((1 + r)ⁿ⁻¹) / r

where:

Monthly rate becomes;

r = 6% / 12 = 0.5% = 0.005

The amount is calculated as;

80,000 = A x ((1 + 0.005)¹⁶⁸ ⁻ ¹) / 0.005

80,000 =460A

A = 80,000/460

A = $173.9

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There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

Given data ,

Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".

Given that there were 400 people total at the family reunion, we can write the equation:

g + p + c = 400

Now , there were twice as many parents as grandparents, so we can write:

p = 2g

And we are given that there were 50 more children than parents, so we can write:

c = p + 50

Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.

On simplifying the equation , we get

g + 2g + (2g + 50) = 400

5g + 50 = 400

5g = 400 - 50

5g = 350

g = 350 / 5

g = 70

Now we can substitute the value of g into (2) to find the value of p:

p = 2g = 2 x 70 = 140

And we can substitute the value of p into (3) to find the value of c:

c = p + 50 = 140 + 50 = 190

Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

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Answer:

1875

Step-by-step explanation:

Yearly income = $90000

Monthly income = 90000÷12 = $7500

Monthly rent = 25%×7500 = $1875

Answer:

40

Step-by-step explanation:

6:4 = 1,5 which means he grades 1 paper per 1,5 minute. 60:1,5 = 40 papers

The equation that represents x, the side length of the greater square is this:  x² + (x-2)²= 100.

The equation that represents x, the greater side length is  x² + (x-2)²= 100. According to the instruction from the teacher, one of the squares should have a side that is two units greater than the first side.

So, if the first side was x, then the new side will be x2 and the same will be true of side, x -2 which now becomes (x-2)². Of course, multiplying a side 10 by 10 will also give 100. So, the correct equation will be C.

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A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.

We have,

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the first table, the slope between the first two points is,

m = (7-3)/(2-1) = 4

The slope between the last two points is,

m = (15-11)/(4-3)

Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.

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Based on the information provided dilate triangle ABC by a scale factor of 3, with point D as the center of dilation.

To perform a dilation, each point in the original figure is transformed by multiplying its coordinates by the scale factor and then translating the figure according to the center of dilation. In this case, each point in triangle ABC will be multiplied by a scale factor of 3, with point D as the center of dilation.

To dilate the triangle by a scale factor of 3, you can follow these steps

Hence,  if the scale factor is greater than 1, the dilated figure will be larger than the original. If the scale factor is between 0 and 1, the dilated figure will be smaller than the original. If the scale factor is negative, the figure will be reflected across the center of dilation.

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K's value is around 0.055 to three decimal places.

Let's first use the given information to set up two equations:

A(0) = 23 (the initial population in millions)

A(6) = 32 (the population 6 years later in millions)

Substituting these values into the exponential growth function A = 23e^(kt), we get:

[tex]23 = 23e^(k0) = > e^{(k0)} = 1\\32 = 23e^{k*6}[/tex]

Dividing the second equation by the first, we get:

[tex]32/23 = e^{6k}[/tex]

Taking the natural logarithm of both sides, we get:

ln(32/23) = 6k

Solving for k, we get:

k = ln(32/23)/6

k ≈ 0.055

Rounding to three decimal places, we get k ≈ 0.055.

Therefore, the value of k to three decimal places is approximately 0.055.

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The number of non-working light bulbs that would be expected in the group of 1,000 light bulbs is: 50 bulbs

In survey sampling, the term probability of selection is one that refers to the chance (i.e. the probability from 0 to 1) that a member (element) of a population can be chosen for a given survey.

We are told that a sample of 40 bulbs were picked from a box of 1000 bulbs and it was discovered that 2 of the bulbs were not working. Thus:

Fraction of bulbs not working = 2/40 = 0.05

Thus, number of bulbs not working in a sample of 1000 bulbs is:

0.05 * 1000 = 50 bulbs

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The rate of change of the function g(x) in the interval -9 ≤ x ≤ -1 is  1

The rate of change of a function y = f(x) on the interval [a, b] is given by the formula below:

R = (f(b) - f(a))/(b - a)

Here the function is g(x) = -x² − 9x + 27 and the interval is [-9, -1], we can evaluate g(x) in both ends of our interval, then we will get the two values needed for the numerator, here we will get:

g(-1) =  -(-1)² − 9*-1 + 27 = -1 + 9 + 27 = 35

g(-9) = -(-9)² -9*-9 + 27 = 27

Replacing that in the formula we can get the rate of change is:

R = (35 - 27)/(-1 + 9) = 8/8 = 1

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In this table, the constant of proportionality is 15.5.

The constant of proportionality is the ratio that one value has compared to another.

In other words, the constant of proportionality is the quotient of the numerator and the denominator.

The constant of proportionality can also be referred to as the slope, gradient, or unit rate.

X            y         Constant of Proportionality

2          31            15.5 (31/5)

5          77.5        15.5 (77.5/5)

7.5      116.25      15.5 (116.25/7.5)

Thus, the constant of proportionality, which can also be computed as the slope or unit rate is 15.5.

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The numeric values of the piecewise function in this problem are given as follows:

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

A piecewise function is a function that has different definitions, based on the input x of the function.

For values of x that are of 1 or less, the function is defined as follows:

f(x) = x.

Hence the numeric values in this interval are given as follows:

For values of x that are greater than 1, the function is defined as follows:

f(x) = -x + 4.

Hence, at x = 3, the numeric value of the function is given as follows:

f(3) = -3 + 4 = 1.

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The graph of the linear inequality can be seen in the image at the end.

I can assume that the linear inequality you want to graph is:

y < -2x + 7

To graph this inequality, what we need to do is graph the line:

y = -2x + 7

With a dashed line, and then shade all the region below that line.

To graph the line just find two points in the line, for example:

if x = 0

y = -2*0 + 7 = 7 ----> (0, 7)

if x = 1

y = -2*1 + 7 = (1, 5)

now graph the points and connect them with a dashed line, and then shade all the region below.

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I'm not 100 percent sure so please only rate after you see if it's right.

ANSWER: $1090

STEP 1:

The volume of one brick is given by multiplying its length, width, and height:

V = (7 1/4) in x 3 in x (2 1/4) in

V = (29/4) in x 3 in x (9/4) in

V = 2187/16 cubic inches

STEP 2:

The cost of one brick is given by multiplying the volume by the cost per cubic inch:

C = (2187/16 cubic inches) x $0.05/in^3

C = $1.09/brick

STEP 3: To find the cost of 1000 bricks, we simply multiply the cost of one brick by 1000:

Cost of 1000 bricks = 1000 x $1.09/brick

Cost of 1000 bricks = $1090

Therefore, the cost of 1000 bricks is $1090, rounded to the nearest cent.