which variable is the dependent variable--the variable that responded to or depended on the treatment, and was measured by the researchers?

Jennifer has 48 nickels, which means she has 144 quarters.

Let's call the number of nickels Jennifer has "n".

Since Jennifer has three more dimes than nickels, she has n + 3 dimes.

And since she has three times as many quarters as nickels, she has 3n quarters.

We can start by figuring out the total value of the nickels and dimes in terms of cents:

n * 5 cents + (n + 3) * 10 cents = 750 cents

Expanding the right side of the equation and solving for n:

5n + 10n + 30 cents = 750 cents

15n + 30 cents = 750 cents

15n = 720 cents

n = 48

So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.

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Step-by-step explanation:

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The value of k is 3.

Quadratic functions are polynomial functions of second degree.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

y = 2x² - 8x + 7

This function is identical to some function y = a(x - h)² + k

We have to write the given quadratic function in the form y = a(x - h)² + k.

2x² - 8x + 7 = (2x² - 8x) + 7

                   = 2(x² - 4x) + 7

                   = 2(x² - 4x + 4) + 7 - 4

We have the algebraic identity, (a - b)² = a² - 2ab + b²

                   = 2 (x - 2)² + 3

a = 2, h = 2 and k = 3

Hence the value of k is equal to 3.

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Answer:

No, the diagonals of a parallelogram cannot have lengths of 4 in. and 3 in. The diagonals of a parallelogram bisect each other and have equal length. Therefore, if one diagonal has a length of 4 in., the other diagonal must also have a length of 4 in. and cannot have a length of 3 in.

Step-by-step explanation:

Yes, I know you pretty much

Answer: He has 290 dollars.

Step-by-step explanation:

3 x 20 is 60

300-60 is 240

240 + 50 is 290.

The overall change is 110 dollars.

The order of given numbers is 4.42<4.427<4.625<4.64.

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

The given numbers are [tex]4\frac{7}{11}[/tex] =4.64, 37/8 =4.625, 4.427, 4.42

From least to greatest is

4.42<4.427<4.625<4.64

Therefore, the order of numbers is 4.42<4.427<4.625<4.64.

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The total distance that Ross hiked is 4000 feet.

From the question, we have the following parameters that can be used in our computation:

This means that the total distance travelled is

Total distance = 2 * Initial distance hiked

Substitute the known values in the above equation, so, we have the following representation

Total distance = 2 * 2000

Evaluate

Total distance = 4000

Hence, the total distance hiked is 4000 feet

See attachment for the graph

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The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Kiran iS playing a computer game. He procures 3 stars for each simple level he finishes and 5 stars for each troublesome level he finishes. He finishes in excess of 20 levels altogether and procures at least 80 stars.

Let 'x' be the number of easy levels and 'y' be the number of difficult levels.  Then the equations are given as,

x + y > 20

3x + 5y > 80

The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.

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Answer:

Step-by-step explanation:

no it isnt

The probability of selecting 4 defective calculators is 0.0009.

The probability of selecting 4 defective calculators out of a group containing 47 defective and 29 non-defective calculators can be calculated using the formula for a combination. The formula is n!/r!(n-r)! where n is the total number of items and r is the number of items being selected. In this case, n is 76 (47 defective + 29 non-defective) and r is 4. Therefore, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.

To calculate this answer, the first step is to calculate the total number of combinations that can be made using 4 items out of 76 items. This is calculated using the formula n!/r!(n-r)!. The numerator, n!, is equal to 76! which is equal to 5.43e+102. The denominator, r!(n-r)!, is equal to 4!(76-4)! which is equal to 5.90e+09. By dividing the numerator by the denominator, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.

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Answer:

Step-by-step explanation:

112+120+133+128+100+x=720

593+x=720

x=720-593

x=127

Answer:

18.75

Step-by-step explanation:

Answer:

gemma gets 6 and zac gets 12

Step-by-step explanation:

zac gets double the about

There are 30 different combinations of two members who can be selected to serve on the spring formal committee.

Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.

To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.

In this case, n = 6 and k = 2,

so we have

=> 6P2 = 6!/(6-2)!

=> 6!/(4!) = 6 x 5/1 = 30.

So, there are 30 possible spring formal committees that can be formed from the six members of the student council.

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The gross pay for the given service is $1307.6.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.

Given that, the regular salary of some service is $1100, we need to calculate the gross payment with over time rate, which is $10.38 per hour (20 hours overtime to be paid)

Therefore,

To find, gross payment, we will multiply by 10.38 by 20, and add to regular salary,

Gross payment = 10.38 × 20 = 207.6 + 1100

= 1307.6

Hence, the gross pay is $1307.6

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Answer:

hi !!

Step-by-step explanation:

you have to do an Euclidean division :

4689/15 = 312

the quotient is 312 so there will be 312 jelly beans per bags . The rest is 9 so there are 9 jelly beans left

The measure of angle Y is given as follows

m < XYZ = 72.9º.

The three trigonometric ratios are defined as follows:

For angle Y, we have that:

Applying the tangent function, the measure is obtained as follows:

tan(Y) = 13/4

Y = arctan(13/4)

Y = 72.9º.

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The solution is, the area after 6 years is 3198.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

Rate of reduction = 100 - 3.25 = 96.75%

After 6 years, the reduction in trees =0 .9675^6

                                                            =0.820

Area after 6 years = 3900 x  0.820

                              = 3198

Hence, The solution is, the area after 6 years is 3198.

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The distance between the two curves, with respect to the curves changing can be calculated as follows:

3-(3-2sin(2θ))

[tex] \frac{dx}{dθ} 2 \sin(20) [/tex]

2cos(20)

4cos(20)

[tex]4 \cos(2 \frac{\pi}{3} ) = - 2[/tex]

The Fréchet distance is a mathematical metric for comparing the similarity of curves that takes into account the position and arrangement of curve points. Maurice Fréchet is honored by having his name used. The pairs of points that make up the Fréchet distance sweep continuously along their respective curves, so the Fréchet metric takes the flow of the two curves into account. As a result, the Hausdorff distance and other similarity measures for arbitrary point sets are inferior to the Fréchet distance for curves. Two curves might have a small Hausdorff distance but a large Fréchet distance.

Note that the full question is:

The distance between the two curves changes for 0<θ<π/2. Find the rate at which the distance between the two curves is changing with respect to θ when θ = π/3.

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The two samples must be independent, which means that the results of one sample should not influence the results of the other.

To lead a hypothesis test for the contrast between two examples implies, certain prerequisites should be met. The examples, right off the bat, should be free, implying that the two examples ought to be arbitrarily chosen and the people in a single example ought not to be available in another example.

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Answer:

10x+30x

Step-by-step Explanation:

The transformations of the parent cube function to the function g(x) = -2(x + 4)³ - 5 are given as follows:

The parent cube function is given as follows:

f(x) = x³.

The transformed cube function is given as follows:

g(x) = -2(x + 4)³ - 5.

Hence the transformations are given as follows:

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The ball reaches its maximum height after 2 seconds.

To determine when the ball reaches its maximum height, we need to find when its velocity changes from positive to negative. The velocity of the ball is given by the derivative of its height, which is the function h'(t) = -16t. The ball's velocity is 0 when h'(t) = 0, so we need to solve -16t = 0.

The solution to this equation is t = 0. When t = 2, h'(t) = -32, which is negative, indicating that the ball is moving downward. So, the maximum height is reached when the velocity changes from positive to negative, which is at t = 2 seconds.

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Answer:

115 apples were picked last year

Step-by-step explanation

It says there are 50% more apples picked this year than last year. So, we divide 230 by 2 because 50% is half of 100%. 230÷2 = 115

115 apples

When reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to a) hundredths place.

A burette is a long tube-shaped glass instrument with scale lines like a measuring pipette or measuring cup with the same cross section from top to bottom. At the bottom of this tool is equipped with a faucet as a place for the solution to come out at the mouth of the burette.

The function of the burette is as a tool to measure the solution based on the volume released. The burette size usually has a volume of 25 / 50 ml.

If the burette is being used, it must be supported firmly with a stand equipped with clamps to clamp the burette. Make sure that when clamping the burette in the stand and clamp the position of the burette must be perpendicular so that the scale reading is correct and does not cause paralax errors.

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Answer:

No, this sample is not likely to be representative of the population. The sample only includes people who attended a country music concert, which means it does not include people who prefer other genres of music. Therefore, the survey results would likely be biased towards country music, and not necessarily reflective of the general population's music preferences.

To find the value of q, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) is a second point on the line.

In this case, we have the slope of the line as -9 and the point ( -9, 1), so we can plug in the values:

y - 1 = -9 (x - (-9))

Expanding and solving for y, we get:

y = -9x + 90

Next, we want to find the value of y when x = -10. Substituting this value into the equation:

q = -9(-10) + 90

Solving for q:

q = -90 + 90 = 0

So, the value of q is 0.

Answer:

strong:0.93

moderate:0.52

weak:-0.01

Step-by-step explanation: