dd or subtract rational expressions with a common denominator or with denominators that are opposites

Question

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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Answer:

{2, 4, 6}

Step-by-step explanation:

that is very simple.

the domain is the interval of set of the valid x (input) values.

we have been given the functional definition and the domain.

the range is the interval of set of valid y (result) values.

we only need to use the given x values and see the y values produced. that is then the range.

x = -1

y = 2×-1 + 4 = -2 + 4 = 2

x = 0

y = 2×0 + 4 = 4

x = 1

y = 2×1 + 4 = 2 + 4 = 6

so, the range is

{2, 4, 6}

Answer:

A

Step-by-step explanation:

.9 = tenth

.98 = hundredths

.987 = thousandths

Answer:

b).Thousandths

Step-by-step explanation:

Because if you go over THREE times like this

.987

←←←

it's in the thousandths place.

Hoped this helped

.7 - Tenth

.87- Hundredths

.987- Thousandths

The factor by which the current changes if the resistance increases 10% is; 90.9% reduction

Ohm's law states that the electrical current (I) flowing in a circuit is directly proportional to the voltage (V) and inversely proportional to the resistance(R). Therefore, if the voltage is increased, the current will increase provided the resistance of the circuit does not change. Thus;

I = V/R

Now, we are told that the resistance increases by 10%.

Thus, New value of resistance = 1.1R

Thus, new current/old current = 1/1.1 = 0.909 = 90.9%

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The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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Answer:

solve    9 = -6/-7(14) + b this is not the answer but when you solve it that will be your answer

Step-by-step explanation:

m = y2 - y1                    y = mx + b

      x2 - x1                     9 = -6/-7(14) + b

m = 3 - 9

      7 - 14

3 - 9 = -6

7 - 14 = -7

m = -6/-7

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

b is 15 less thsn the product since it subtracts 15 from 7n

we can do this by also finding the slope of the vertical diagonal which we will call m1 and the horizontal diagonal called m2

for m1, y2 =-c, y1 =c, x1=0 and x2 =0

The line joining cordinates (-a,0) and (b,0) has a slope of 0 which shows that it is a horizontal line and the the line with coordinates (0,c) and (0,-c) has an undefined slope which means the line is vertical

Hence with this proof the diagonals are perpandicular since for line perpendicular property, one line must be vertical and the other horizontal and they must cross each other at 0, hence the reason for 0 at y cordinates for the horizontal line and 0 at the x coordinates for the vertical line

Answer:

They could make at most 5 teams and its not possible to make everyone on team.

Step-by-step explanation:

If there are 4 players on a team, then we use 23 ÷ 4 = 5.75, 0.75 is not enough for 1, so there are 3 players remaining after making 5 teams.

Using the t-distribution, the test statistic is given as follows: t = -0.774.

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

The values of the parameters for this problem are:

\(\overline{x} = 0.1, \mu = 0.13, s = 0.26, n = 45\)

Hence the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{0.1 - 0.13}{\frac{0.26}{\sqrt{45}}}\)

t = -0.774.

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Answer:

6.5y + 10

Step-by-step explanation:

I got it right !

Answer:

2) 6.5y + 10

explanation:

I checked it on Iready and it was right

\((5x - 23) + (7x - 1) = 180 \\ 5x + 7x - 23 - 1 = 180 \\ 12x - 24 = 180 \\ 12x = 180 + 24 \\ 12x = 204 \\ \frac{12x}{12} = \frac{204}{12} \\ x = 17\)

x=17°

The approximate number of water bottles that Charlotte sold was 31.

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We need to find the approximate number of water bottles that Charlotte sold

It can be written by

\(62\% \ \text{of} \ 50\)

\(\dfrac{62}{100} \times 50\)

\(0.62 \times 50 = 31\)

so, 62% of 50 is 31. However, it is to the nearest 10, it would be about 31 water bottles.

She sold about 31 water bottles.

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

Using the given functions, we have:

\(f(x) = x^2 + 3\)

\(g(x) =\) \(\sqrt{(x-4)}\)

To find f(g(x)), we substitute g(x) for x in the expression for f(x):

\(f(g(x)) = (g(x))^2 + 3\)

= (\(\sqrt{(x-4))^2 + 3}\)

\(= (x-4) + 3\)

\(= x - 1\)

Therefore,\(f(g(x)) = x - 1.\)

To find g(f(x)), we substitute f(x) for x in the expression for g(x):

\(g(f(x)) =\) \(\sqrt{((f(x)) - 4)}\)

= \(\sqrt{((x^2 + 3) - 4)}\)

= \(\sqrt{(x^2 - 1)}\)

= |x|\(\sqrt{(x^2 - 1)}\)

Therefore,  \(g(f(x)) =\) |x|  \(\sqrt{(x^2 - 1)}\)

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Answer:

x = 14

Step-by-step explanation:

1/2(x - 4) = 5                     - Given

1/2x - (1/2 * 4) = 5             - Distribute

1/2x - 2 = 5                       - Multiply 1/2 by 4

1/2x = 7                             - Add 2 to both sides of the equation

x = 14                                 - Divide both sides of the equal by 1/2

Answer:

62000

Step-by-step explanation:

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

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There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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Answer:

81 kilometers per hour

Step-by-step explanation:

8:00am to 1:00pm is 5 hours

510-105=405

405/5=81

Answer:

H (:

Step-by-step explanation:

So basically, he drove 405km within 5 hours.

How I got that:

510km-105km=405k

8:00am-1:00pm=5 hrs

405 divided by 5 = 81.

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is \(\frac{1}{9} ^3\) or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: \(\frac{1}{9} ^3\)

Therefore, 1/9 to the 3rd power is 1/729.

\(\frac{1}{9}^3=\frac{1}{729}\)

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

a: True

Explanation

A parallel is an imaginary line that runs parallel to the equator and goes completely around the earth(RED) . Since it is parallel to the equator(BLUE), it will be the same distance from the equator at every point along the parallel(GREEN).

all points along a parallel(red) are the same distance(green) from the equator.(blue)

Answer:

In this question (t½) of C-14 is 5730 years, which means that after 5730 years half of the sample would have decayed and half would be left as it is. After 5730 years ( first half life) 70 /2 = 35 mg decays and 35 g remains left. After another 5730 years ( two half lives or 11460 years) 35 /2 = 17.5mg decays and 17.5 g remains left . After another 5730 years ( three half lives or 17190 years) 17.5 /2 = 8.75mg decays and 8.75g remains left. after three half lives or 17190 years, 8.75 g of C-14 will be left.

Step-by-step explanation:

Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation: