Zelly works 10 hours a week at a food market for $9.50 an hour. She takes home $8.55 an hour after deductions. What is her rate for deductions?

Answer:

x=(58.7-4.7)÷2.25

(x=24)

Step-by-step explanation:

Hello!

\(\boxed{ \bf The~volume~is~29.32~cm^3.}\)

___________________________________________________

To find the volume of the cone, we must use a certain formula:

V = \(\frac{1}{3}\)πr²h

Let's plug in our values:

V = \(\frac{1}{3}\)π(2)²(7)

V =  \(\frac{1}{3}\)π(4)(7)

V =  \(\frac{1}{3}\)π(28)

V = 29.32

Answer:

{0, 1}

Step-by-step explanation:

Solving for 'x' in the inequality:

\(7x+3<17\\7x+3-3<17-3 \leftarrow \text{Subtraction Property of Equality}\\7x<14\\7x/7<14/7 \leftarrow \text{Division Property of Equality}\\\boxed{x<2}\)

X's value has to be less than two to make the inequality true. So, {0, 1} should be the correct answer.

Answer:

I took the quiz and the answer is B

Step-by-step explanation:

Answer:

13.7142857143

Step-by-step explanation:

so just 13

Answer:

104

Step-by-step explanation:

the median is the number is the middle of all the values when they are place in numerical order

99, 100, 102, 104,         104,         105, 105, 105, 121

so there for the median will be 104 because its 9 value and the fifth value is the middle number

The mean of the given data will be 105.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given that IQ scores are collected from a sample of students at a large university. The scores are shown below. 99, 100, 105, 104, 102, 105, 105, 121, 104.

The mean of the data is calculated by adding all the data given and dividing it by the number of the data.

Mean = [ 99 +100 + 102 + 104 + 104 + 105 + 105 + 105 + 121 ] / 9

Mean = 945 / 9

Mean = 105

Therefore, the mean of the given data will be 105.

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The probability of selecting a red candy from the bag will be 4/14.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

In the bag 4 red, 3 green, and 7 yellow candies.

Total candies = 4 + 3 + 7 = 14

The number of red candies is 4

The probability of selecting red candy is = 4/14

Hence"Picking a red candy out of the bag will have a 4/14 chance of happening".

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The unit for the amount of time Emily paints is months

The total number of paintings after she completes the class will be 23

The number of paintings after five months will be 19

Number of paintings in her collection after six months will be 20

The variable for the amount of time Emily paints and the expression for the number of paintings is 14 + t

Since the time frame mentioned in the scenario is in months, the unit for the amount of time Emily paints is "months."

She already has fourteen (14) paintings, and she makes one (1) per month, after she completes the nine-month class, Emily will have 14 + 9 = 23 paintings in her collection.

After five months, Emily will have 14 + 5 = 19 paintings in her collection.

After six months, Emily will have 14 + 6 = 20 paintings in her collection.

Let t be the number of months that Emily paints. The number of paintings in her collection after t months is 14 + t.

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Answer:

your answer is d

Step-by-step explanation:

have a nice day.

Answer:

x= 4, y=3

Step-by-step explanation:

2x + 3y = 17

3x - 2y = 6

----------

If we double the first and triple the second equation, and add up, we can get rid of y:

Then it is easy to find the value of y:

Answer is: x= 4, y=3

Answer:

Step-by-step explanation:

Domain:  since x begins to the right of x = -2 and ends at x =2, the domain is  (-2, 2]

Range:  The smallest y value shown is y = -5 and the largest is y = 4.  Thus, the range is [-5, 4].

Answer:

8 sides

each interior angle is 135°

Step-by-step explanation:

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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The only thing we can say about the line is that x = 12 is a vertical line.

Remember that the general linear equation is:

a*x + b*y = c

Particularly, if we take b = 0, the dependence on y disappears, and then we get a vertical line.

This is just a vertical line that crosses the x-axis at x = 12. (and never crosses the y-axis).

So the only correct option is the first one.

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Answer:

1. Vertical Line

Step-by-step explanation:

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer:

Step-by-step explanation:

a) Number of variables in the data set : 5

b) A quantitative variable is the one which can be quantitatively measured. i.e. it is a numerical value.

A categorical variable is the one that can take one value from a limited number of fixed values.

Exchange is a Categorical Variable. Price/Earnings Ratio is a Quantitative Variable. Gross Profit Margin (%) is a Quantitative Variable.

c. Out of the 25 stocks, AMEX is the exchange for 5 stocks. So percent frequency is 5/25 = 0.2 = 20%.

NYSE is the exchange for 3 stocks. So percent frequency is 3/25 = 0.12 = 12%.

OTC is the exchange for 17 stocks. So percent frequency is 17/25 = 0.68 = 68%.

These percentages are correctly shown in graph a. So the answer is a.

d) The frequency distribution is

Gross Profit Margin                Frequency

0-14.9                                        2

15-29.9                                      6

30-44.9                                     8

45.59.9                                    6

60.74.9                                    3

As we come across the Gross Profit Margin values in the table, we add a | next to its respective interval and build the above table. E.g. the first value in the table under Gross Profit Margin is 36.7 which lies in the interval 30–44.9. So we add one | in fromt of that interval and so on until we cover the entire table. The number of | shows the frequency distribution of the values.

The correct histogram is A.

e. The average price/earnings ratio is found by adding all the 25 values in the table and dividing the answer by 25.

= 505.40/25

Answer:

The temperature inside the freezer dropped 36°C.

Step-by-step explanation:

You need to subtract the new temperature from the old temperature to get the difference. That's a pretty cool freezer! (Pun intended!)

I hope this helps!

\(\dfrac 15 x - \dfrac 35\\\\\\=\dfrac 15 x- \dfrac 15 \cdot 3\\\\\\=\dfrac 15(x-3)\)

Answer:

$24,000

Step-by-step explanation:

12 * 40 * 50 = 24000

Step-by-step explanation:

12$per hour

40 hours per week

50 weeks a year

Total pay for one week=12×40

=480

Total pay for one year=480×50

=24000$

Answer:

it is so easy

x=3

y=4

so

3×3+1=10

4×4×2=32

(:

Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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A formula without free variables is a formula that does not contain any variables that are not quantified.

Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.

Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.

Formulas without free variables are often easier to work with than formulas with free variables.

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An expression exists as a number, a variable, or a combination of numbers and variables, and function symbols. The speed in still water exists 4 mph.

The acronym BODMAS, which stands for brackets of, division, multiplication, addition, and subtraction, might be used to simplify the expression. It specifies how to answer a mathematical expression in a particular order.

Let x be the speed in still water

\($&\frac{5}{x+1}+\frac{6}{x-1}=3\)

LCD = (x + 1)(x - 1)

\($&(x+1)(x-1) \cdot \frac{5}{x+1}+(x+1)(x-1) \cdot \frac{6}{x-1}=(x+1)(x-1) \cdot 3 \\\)

simplifying the above equation, we get

5(x - 1) + 6(x + 1) = 3(x + 1)(x - 1)

5x - 5 + 6x + 6 = 3 x² - 3

3x² - 11x - 4 = 0

(3x + 1)(x - 4) = 0

x = -1/3 (speed is not negative);

then we get x = 4 mph

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To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

Step-by-step explanation:

One number is 2 more than another. The difference between their squares is 24. What are the numbers?

(x + 2)² - x² = 24

x² + 4x + 4 - x² = 24

4x + 4 = 24

4x = 20

x = 20 : 4

x = 5

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

5 + 2 = 7

check

(5 + 2)² - 5² = 24

49 - 25 = 24

24 = 24

the answer is good

Answer:Hlello, my name is woods245.

So you have the problem b - 3>5 and is says that b=6.

So know the problem looks like this. 6 - 3>5.

Step-by-step explanation:

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

Answer:

The cosine of ∠V is of 0.74.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.

XW = 65, WV = 97, and VX = 72.

\(\sqrt{65^2+72^2} = 97\), and thus, this is a right triangle.

What is the value of the cosine of ∠V to the nearest hundredth?

The hypotenuse is the largest side, that is, WV = 97.

The adjacent side of angle V is VX = 72. So

\(\cos{B} = \frac{72}{97} = 0.74\)

The cosine of ∠V is of 0.74.

\(\\ \sf\longmapsto \dfrac{7x}{15}-1=22\)

\(\\ \sf\longmapsto 7x/15=23\)

\(\\ \sf\longmapsto 7x=345\)

\(\\ \sf\longmapsto x=345/7\)

\(\\ \sf\longmapsto x\approx 49\)