Sharon makes money by commission rates. She gets 17% of everything she
sells. If Sharon sold $37000 worth of items this month, what is her salary for
the month?
$629
$6,290
$5,180
$14,800

Step-by-step explanation:

a. 6 £/hr

b. 6.8 £/hr.....is this right?

Answer:

B) 1 hour = £10

Step-by-step explanation:

the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10

Answer: y=2x+1

Step-by-step explanation:

To find a vector of length 2 in the opposite direction to vector v, we need to negate the direction of v and then scale it to have a length of 2.

Let's assume vector v is represented as v = (v1, v2, v3, ..., vn) in n-dimensional space.

To negate the direction of v, we simply multiply each component of v by -1, resulting in the vector -v = (-v1, -v2, -v3, ..., -vn).

Next, we need to scale -v to have a length of 2. We can achieve this by multiplying each component of -v by a scalar factor. Let's denote this scalar factor as k.

Therefore, our goal is to find k such that ||k(-v)|| = 2, where ||.|| represents the length or magnitude of a vector.

Using the Euclidean norm, we have:

||k(-v)|| = sqrt((k(-v1))^2 + (k(-v2))^2 + ... + (k(-vn))^2)

Squaring both sides to eliminate the square root:

(k(-v1))^2 + (k(-v2))^2 + ... + (k(-vn))^2 = 4

Expanding the equation:

k^2(v1^2 + v2^2 + ... + vn^2) = 4

Simplifying:

k^2 ||v||^2 = 4

k^2 = 4 / ||v||^2

Taking the square root of both sides:

k = ±2 / ||v||

Now we have the scalar factor k. To obtain the vector of length 2 in the opposite direction to v, we multiply -v by this scalar:

(-v) * (±2 / ||v||) = (-v1 * (±2 / ||v||), -v2 * (±2 / ||v||), ..., -vn * (±2 / ||v||))

This resulting vector will have a length of 2 and will point in the opposite direction to v.

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There will be 6.11 acres in a piece of property measuring 620' x 430'

To calculate the number of acres in a piece of property, you need to convert the measurements from feet to acres.

1 acre is equal to 43,560 square feet.

Given that the property measures 620' x 430', you can calculate the area in square feet by multiplying the length by the width: 620' x 430' = 266,600 square feet.

To convert the area from square feet to acres, divide the square footage by 43,560: 266,600 square feet / 43,560 = 6.11 acres (rounded to two decimal places).

Therefore, the piece of property measures approximately 6.11 acres.

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Answer:

A

Step-by-step explanation:

\(-2<-1 \frac{5}{8}<-1\), and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

a) The low end of the range would be 135, and the high end of the range would be approximately 146.67.

b) The proportion of all agriculture students that would fall within the GRE score range of 135 to 170 is 100%.

a.) To identify the GRE scores that mark the low and high ends of the middle third of all graduate students in academic ability, we need to find the range of GRE scores that corresponds to the middle 33.3% of the distribution.

Since the GRE scores range from 135 to 170, we can calculate the difference between these two values: 170 - 135 = 35.

To find the range of scores for the middle third, we divide this difference by 3 and then multiply by 1, as we are looking for the middle portion:

Range = (170 - 135) / 3 = 11.67 (rounded to two decimal places)

The low end of the range would be the minimum score (135), and the high end of the range would be the minimum score plus the range: 135 + 11.67 = 146.67 (rounded to two decimal places).

Therefore, the low end of the range would be 135, and the high end of the range would be approximately 146.67.

b.) To determine the proportion of all agriculture students that would fall within the range of GRE scores from 135 to 170, we need to calculate the proportion of the total range (135 to 170) that is covered by this specific range.

The total range is 170 - 135 = 35.

The range from 135 to 170 covers the entire total range, so the proportion of all agriculture students falling within this range is 1 or 100%.

Therefore, the proportion of all agriculture students that would fall within the GRE score range of 135 to 170 is 100%.

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Answer:

48

Step-by-step explanation:

by parallel laws

132 + x = 180

x = 48

so x must be 48

After approximately 113 minutes, there will be only 40 bacteria remaining.

Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.

N(t) = N₀(1/2)^(t/T)

where N(t) = amount of substance remaining after time t

N₀ = initial amount of substance

t = time

T = half-life

If the sample begins with 500 bacteria, and after 16 minutes there are 350 bacteria, then

N₀ = 500, and N(t) = 350 when t = 16 minutes

Substitute the given values and solve for the half-life.

N(t) = N₀(1/2)^(t/T)

350 = 500(1/2)^(16/T)

T = 31.09 minutes

Using the formula, solve for t when n(t) = 40.

N(t) = N₀(1/2)^(t/T)

40 = 500(1/2)^(t/31.09)

t = 113.30 minutes

t ≅ 113 minutes

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A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

\(\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348\)

Rounding, we get x = 16.35 as our answer

Using Tap working problem solving,

when faucet and drain working together, the time to fill up the tub is 60 minutes.

We have the following information about question,

The time taken by faucet to fill up the tub

= 15 minutes

The time taken by drain to empty the tub

= 20 minutes

we have to calculate the time in which the tub is fully fill the tube with drain open.

Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .

Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.

In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub

Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.

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1) In the context of statistics, the term "normal" is referred to a distribution of the data that follows the characteristic of the Normal distribution: symmetrical and bell shaped.

It was named "normal" distribution because it represents many distributions of measures in nature. But it does not represent what is normal or not in all the possible contexts.

2) If we graph the histogram of the data, we can check if the distribution is normal-like byb looking at those two characteristics: how symmetric is the distribution of the data around the mean (the more symmetric, the closer to the normal distribution) and the shape of the distribution (it should be bell-shaped, with more data around the mean and less on the tails).

Answer:

true

Step-by-step explanation:

4x + 5y = -13.

Substitute the point in

4(-2) + 5(-1) = -13

-8+-5 = -13

-13 = -13

This is true so the point is a solution

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

Step-by-step explanation:

definition : the Vertex  of an angle is the common endpoint of two rays that form the angle.

angle 5   vertex M

angle 3    vertex  P

angle 8     vertex O

angle NMP   vertex M

Answer:

Number of red marbles are 21

Number of blue marbles are 28

we have to find the probability of drawing a red marble

Total Number of marbles is 21+28 = 49

Probability of drawing a red marbles = 21/49

Probability of drawing a red marbles = 3/7

So, the probability of drawing a red marbles is 3/7 .

Answer:

Step-by-step explanation:

okey first you have to make the equation:

99+X0.5= ?

You express the 50cents like 0.5 because they are half a dollar

X signifies the you drove so X=120

99+120(0.5)

120 X 0.5= 60

99+60=150 You have to pay 150 dollars

This only works if your talking about dollars.

Hope this helped :)

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

y = 2016 - 112x

Step-by-step explanation:

because he is paying 112 dollars each month for 18 months

y= 2016 -112x

for instance, he paid it for 6 months we would say

y = 2016 - 112(6)

y = 2016 - 672

y = 1334

so, y = 2016 - 112x

Answer:

V=216cm³

Step-by-step explanation:

V=216cm³

4 tablespoons are equivalent to 1/4 cup.

To find how many cups are equivalent to 4 tablespoons, follow these steps:

Therefore, 4 tablespoons are equivalent to 1/4 cup or 4 tablespoons = 1/4 cup.

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Answer:

A.

Step-by-step explanation:

Sorry I can't really explain

Answer:To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In l, you'll see how to find the x-intercept and the y-intercept for a given linear equation.

Step-by-step explanation:

Answer:

The measure of the vertex angle is 100°

Step-by-step explanation:

In Δ MNO

∵ Δ MNO is an isosceles triangle with base MO

∴ NM = NO

→ In an isosceles triangle, the base angles are equal in measures

∵ ∠M and ∠O are the base angles isosceles ΔMNO

∴ m∠M = m∠O

∵ m∠M = (3x + 10)°

∵ m∠O = (5x - 10)°

→ Equate their measures

∴ 5x - 10 = 3x + 10

→ Add 10 to both sides

∵ 5x - 10 + 10 = 3x + 10 + 10

∴ 5x = 3x + 20

→ Subtract 3x from both sides

∴ 5x - 3x = 3x - 3x + 20

∴ 2x = 20

→ Divide both sides by 2 to find x

∵ \(\frac{2x}{2}\) = \(\frac{20}{2}\)

∴ x = 10

→ Substitute the value of x in the measures of ∠M and ∠O to find them

∵ m∠M = 3(10) + 10 = 30 + 10

∴ m∠M = 40°

∵ m∠O = 5(10) - 10 = 50 - 10

∴ m∠O = 40°

→ The sum of the measures of the interior angles of a Δ is 180°

∵ m∠M + m∠O + m∠N = 180°

∵ 40 + 40 + m∠N = 180

→ Add the like terms

∴ 80 + m∠N = 180

→ Subtract 80 from both sides

∴ 80 - 80 + m∠N = 180 - 80

∴ m∠N = 100°

∵ ∠N is the vertex angle of Δ MNO

∴ The measure of the vertex angle is 100°

Answer:

So x can be  {-2,-1,0}

Step-by-step explanation:

x-1/2 < 1/5

Add 1/2 to each side

x < 1/2 + 1/5

x < 5/10 + 2/10

x < 7/10

domain is the set {-2,-1,0,1,2}

The truth set is the values that make the statement true

So x can be  {-2,-1,0}

Explanation:

AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.

What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.

Answer:

AC=XZ

so the correct answer is D

The slope of graph is 4.17 (a+1). It represents the annual rise in dose a.

Excellent understanding of medications, their mechanisms of action, side effects, interactions, mobility, and toxicity are prerequisites for practicing pharmacy. Thus, pharmacists are the key healthcare professionals who maximize the use of medicine for the benefit of patients. They are also the world's foremost authorities on drug therapy.

The pharmacist use equation C= 0.0417 d (a+1)

Applying in (mg)

So d = 100 mg

Therefore c = 0.0417×100 (a+1)

C= 4.17 (a+1)

4.17 (a+1) is the slope for the graph of c, which reflects the annual rise in dose a.

kid requires. Given that a newborn is age 0, the appropriate dosage is

c(0) = 4.17 (a+1)

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 200 mg.

(a) Find the slope of the graph of c. What does it represent?

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D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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