John earns $8. 50 per hour proofreading advertisements at a local newspaper. Write a function in function notation. Use d as your variable to represent days

Answer:

Lunch cost =$5.25

percentage spent =8.5%

1%of saving =$0.617

total amount =100×0.617

=$61.76

Answer:

62.94117

Step-by-step explanation:

100/100 ×8.5×saving=100×5.25

But 100/100=1

8.5×savings=535.00= 62.94117

Answer:

The next customer gets 1/8 of the lemonade.

Step-by-step explanation:

They get 1/8th of the lemonade because 1/3 of 3/8 is 1/8. Imagine this. You have a pizza with 8 slices, but you only have 3 slices life (3/8). 3 slices is now all you have, and you decide to take 1 of the three slices left. Technically, you took 1 slice out of the three left, and 1 out of the original 8. Hope this helps :).

Answer:

-10 is higher

Step-by-step explanation:

Because -100 is just going slower a negative number as the number get bigger it goes lower

Hope This Helped

Answer:

Step-by-step explanation:

hope this helps!!!!

Answer:

The sequence of transformation that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a 90 degrees counterclockwise rotation about point A followed by reflection across the y-axis and a translation of 20 units down.

Explanation:

The sequence of transformations are described in the following figure:

Therefore, the first transformation is a rotation of 90 degrees counterclockwise about point A. After that transformation, we get the figure A'B'C'D'

Then, we reflect the figure across the y axis, so we get A''B''C''D''

Finally, we translate the figure 20 units down to get GHIJ

So, the answers are:

The sequence of transformation that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a 90 degrees counterclockwise rotation about point A followed by reflection across the y-axis and a translation of 20 units down.

Answer:

840

Step-by-step explanation:

20 x 7 = 140

140 x 6 = 840

Answer:

B) 9 1/2   C) 1 1/2

Step-by-step explanation:

Work Shown:

\(\displaystyle \int \sin(x) dx = -\cos(x)+C\\\\\displaystyle \int f(x)dx = g(x)+C\\\\\displaystyle \int_{a}^{b} f(x)dx = g(b)-g(a)\\\\\displaystyle \int_{0}^{\pi} f(x)dx = g(\pi)-g(0)\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = -\cos(\pi)-(-\cos(0))\\\\\)

\(\displaystyle \int_{0}^{\pi} \sin(x) dx = -\cos(\pi)+\cos(0)\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = -(-1)+1\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = 1+1\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = 2\\\\\)

The area is 2 square units. You can use WolframAlpha or GeoGebra to confirm.

Answer:

\(x=6\)

Step-by-step explanation:

\(x+7=13\)

Subtract 7 from both sides:

\(x+7-7=13-7\)

\(x=6\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 6}}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: x + 7 = 13}}\)

\( \text{ Step \: 1 \: : \: Move \: 7 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \mapsto{ \sf{x = 13 - 7}}\)

\( \text{Step \: 2 \: : Subtract \: 7 \: from \: 13}\)

\( \mapsto{ \sf{x = 6}}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

Answer: x = 16/17; y = 1/17

condition: x,y > 0

we have:

\(\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.\)

because x > 0, multiply x by the second equation, we have:

\(\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.\)

Step-by-step explanation:

Answer:

the answer will be D. Sample point

Answer:

a

Step-by-step explanation:

Volume of water in sphere is 2,143.57 cm³

Radius of sphere = 8 cm

Value of π = 3.14

Volume of water in sphere

Volume of sphere = (4/3)πr³

Volume of water in sphere = (4/3)(3.14)(8)³

Volume of water in sphere = (4/3)(3.14)(512)

Volume of water in sphere = 2,143.57 cm³

So, Option "A" is the correct answer to the following question.

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Step-by-step explanation:

Los 10 m representan 1/3 del camino, ya que si sumamos 10 + 20 + 30, obtenemos la distancia total del camino, que es 60 m.

Si la casa se encuentra a 25 m del camino, entonces está a una distancia de 5 m del final del camino, ya que 25 + 5 = 30. Por lo tanto, la casa está a 2/3 del camino, es decir, a una fracción de 2/3 de la distancia total del camino.

La casa está representada a 2/3 del camino, lo que corresponde a una distancia de 40 m (2/3 de 60 m). Por lo tanto, la casa está representada a 40 m del comienzo del camino.

Los 20 m representan 1/3 del camino, ya que si sumamos 10 + 20 + 30, obtenemos la distancia total del camino, que es 60 m. Por lo tanto, los 20 m representan la misma fracción que los 10 m, que es 1/3 del camino.

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Using the Confidence interval,

the pproximate 95% confidence interval for the mean score of all such subjects is (70.11, 82.32).

Confidence interval: A confidence interval is a range of estimated values for an unknown parameter. Confidence intervals are computed at the specified confidence level.

C.I = X-bar +- Z(s/√n)

we have given that,

Sample size (n) = 47

mean of sample scores (X-bar) = 76.2

standard deviations (s) = 21.4

confidence level = 95% = 0.95

Using the z table the value of Z-Score corresponding to 95% confidence level is 1.96..

putting all the values in above formula we get,,

Confidence interval for the mean score of all such subjects is

C.I = ( X-bar + z(s/√n) , X-bar - Z(s/√n))

=> C.I = ( 76.2 - 1.96(21.4/√47) , 76.2 + 1.96(21.4/√47))

=> C.I = ( 70.11, 82.32)

Hence, the confidence interval for the mean score of all such subjects is

(70.11, 82.32).

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The correct answer to the given question is "b. Individual Matching."Individual matching is a type of matching that selects the controls based on specific characteristics, one at a time, which matches with the cases of the population.

Explanation: In the case-control study, we compare the histories of two groups, cases and controls, in search of factors that may contribute to the disease's development.  This type of matching is useful in a case-control study where a small sample is chosen, and the investigators are interested in the individual risk factors. The odds ratio examining the association between the exposure (marijuana use) and the disease (lung cancer) in the study is b. 1.56.

Here is the calculation: Odds ratio = (33/167) / (33/367) = 0.1975 / 0.0899 = 2.20 (corrected)Or, Odds ratio = ad/bc = (33 * 367) / (33 * 167) = 6,711 / 5,511 = 1.2171Logarithm of odds ratio = ln (OR) = ln (1.2171) = 0.1956Standard error = sqrt (1/a + 1/b + 1/c + 1/d) = sqrt (1/33 + 1/134 + 1/33 + 1/267) = 0.3421Lower limit of the 95% confidence interval (CI) = ln (OR) - 1.96 x SE = -0.8726Upper limit of the 95% CI = ln (OR) + 1.96 x SE = 1.2638Therefore, the odds ratio examining the association between the exposure (marijuana use) and the disease (lung cancer) in the study is 1.56, as the confidence interval does not include the value 1.0.

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Answer:

  12

Step-by-step explanation:

You want the least common multiple of 3 and 4.

3 and 4 have no common factors, so their least common multiple (LCM) is their product:

  3·4 = 12

The LCM of 3 and 4 is 12.

__

Additional comment

If the numbers have a common factor, then the LCM is their product, divided by the greatest common factor.

For example, 4 and 6 have a common factor of 2. Their LCM is 4·6/2 = 12.

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Answer:

123

Step-by-step explanation:

Answer:

Step-by-step explanation:

explain what ? what is the question here ?

to find the intersecting point of both lines ?

if that is the case, then please consider that an intersection point is a point, where both equations deliver the same coordinates. it is the same point for both of them.

in other words, the question is for what pair of (x, y) are both equations true (their left and right sides are equal).

we do this by finding a way to express one variable by an expression in the other variable, and then use that identity in one of the equations to solve for the remaining variable. and then we use that in the other equation to solve for the first variable.

line b gives us such an identity right away.

y = (-1/2)x + 6

we can use that in the line a equation :

2x - ((-1/2)x + 6) = 7

2x + (1/2)x - 6 = 7

2x + (1/2)x = 13

(4/2 + 1/2)x = 13

(5/2)x = 13

5x = 26

x = 26/5 = 5.2

y = (-1/2)×5.2 + 6 = -2.6 + 6 = 3.4

Answer:

47 girls

Step-by-step explanation:

63÷4=15.75

15.75×3=47.25

Answer:

-12-6-(-2)

-12-6-+2

-18+2

-16

Hope This Helps!!!

To find the critical points of the function f(x, y) = 1 + xy + x3 + xy2, we can take the partial derivatives of the function with respect to x and y, and set them equal to 0:

∂f/∂x = y + 3x2 + y2 = 0

∂f/∂y = x + 2xy = 0

Solving the system of equations yields four critical points:

(x, y) = (-2, 0), (0, 0), (0, -2), (2, 0).

We can now classify each of these critical points as a local maximum, local minimum, or saddle point:

(x, y) = (-2, 0) is a local minimum

(x, y) = (0, 0) is a saddle point

(x, y) = (0, -2) is a local maximum

(x, y) = (2, 0) is a local minimum

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Answer:

When you ask a question and someone answers, you don´t really know if it could be the correct answer or not. You just have to put trust in that person and hope for the best lol

Step-by-step explanation:

Answer:

Yes he did break the speed limit

Step-by-step explanation:

If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers

The shift in aggregate demand from point A to B can be explained by factors such as increased consumer confidence, increased government spending, expansionary monetary policy, or an increase in net exports.

the possible explanations for the shift in aggregate demand from point A to B.

A shift in aggregate demand from point A to B can be caused by several factors. These may include:

Increase in consumer confidence: When consumers are more optimistic about the future, they are more likely to spend money, leading to an increase in aggregate demand.

Increase in government spending: If the government increases its spending on infrastructure, public services, or other areas, this can lead to an increase in aggregate demand.

Expansionary monetary policy: If the central bank lowers interest rates or increases the money supply, borrowing becomes more attractive and accessible, leading to increased spending and investment, and ultimately an increase in aggregate demand.

Increase in net exports: If a country exports more goods and services than it imports, this can lead to an increase in aggregate demand.

To summarize, the shift in aggregate demand from point A to B can be explained by factors such as increased consumer confidence, increased government spending, expansionary monetary policy, or an increase in net exports.

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Answer:

Given variables:

a=3

d=4

Tn=99

N=?

Using the formula

Tn=a+(n-1)d

99=3+(n-1)4

96=4(n-1)

24=n-1

25=n

Therefore N=25

43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers