If y is proportional to x, find the missing number.

A. 15
B. 12
C. 16
D. 18

HELPPP!!!!

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

We are given the equation 1+sin8 = 1/2 and we need to find its solution on the interval [0,2π).

To solve this equation, we will start by isolating the sine term.

1 + sin8 = 1/2

Subtracting 1 from both sides, we get:

sin8 = -1/2

Now, we need to find the angles on the interval [0,2π) that have a sine of -1/2.

The sine function is negative in the third and fourth quadrants of the unit circle. Therefore, we will look for angles in these quadrants that have a sine of 1/2.

To find these angles, we will use the fact that the sine function is equal to the y-coordinate of the point on the unit circle.

Let's start with the third quadrant. In this quadrant, the x-coordinate is negative and the y-coordinate is negative. Therefore, we can write:

sinθ = -1/2 = sin(π - θ)

This gives us:

π - θ = arcsin(-1/2) = -π/6

θ = π + π/6 = 7π/6

Now, let's move on to the fourth quadrant. In this quadrant, both the x-coordinate and the y-coordinate are positive. Therefore, we can write:

sinθ = -1/2 = sin(2π - θ)

This gives us:

2π - θ = arcsin(-1/2) = -π/6

θ = 2π + π/6 = 11π/6

Therefore, the solutions of the given equation on the interval [0,2π) are:

A. 7π/6, 11π/6

And the correct option is A.

The probability of Steve, Carol, Barb, and Alan arriving at a party in a specific order is 1/24.

To find the probability, we need to consider the total number of possible arrangements and the number of favorable outcomes. Since each person can arrive at the party in one of four different positions, there are 4! (4 factorial) or 24 possible arrangements.

Out of these 24 arrangements, there is only one specific order in which Steve, Carol, Barb, and Alan arrive. Therefore, there is only one favorable outcome.

Hence, the probability of Steve, Carol, Barb, and Alan arriving in the specific order is 1 favorable outcome out of 24 possible outcomes, which can be represented as 1/24.

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The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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The car must achieve an acceleration of 120 mi/hr^2 during the 10-minute interval according to the Mean Value Theorem. To find the acceleration of the car, we can use the Mean Value Theorem, which states that there must be a point in time between 2:00pm and 2:10pm where the instantaneous velocity of the car is equal to the average velocity over that time period.

The average velocity of the car over this time period is: Average velocity = (change in distance) / (change in time)
Average velocity = (70 - 50) / 10 minutes = 2 mi/min
To convert mi/min to mi/hr, we multiply by 60:
Average velocity = 2 mi/min * 60 min/hr = 120 mi/hr
So, there must be a point in time where the instantaneous velocity of the car is equal to 120 mi/hr. Now, we can use the formula for acceleration: Acceleration = (change in velocity) / (change in time)
We know the change in velocity is 70 - 50 = 20 mi/hr, and the change in time is 10 minutes, or 1/6 hour.
Acceleration = (20 mi/hr) / (1/6 hour) = 120 mi/hr^2
Therefore, the acceleration the car must achieve is 120 mi/hr^2.

Using the Mean Value Theorem and the formula for acceleration, we found that the car must achieve an acceleration of 120 mi/hr^2 between 2:00pm and 2:10pm.
Answer: Using the Mean Value Theorem, we can determine the acceleration the car must achieve between 2:00 pm and 2:10 pm. In the given scenario, the car's speed changes from 50 mph to 70 mph over a 10-minute time interval. To apply the Mean Value Theorem, first, we need to convert the time interval to hours. Ten minutes is equal to 1/6 of an hour (10/60). Now, we can find the average rate of change in speed (also known as acceleration) by dividing the change in speed by the change in time. The change in speed is 70 mph - 50 mph = 20 mph. The change in time is 1/6 of an hour. Therefore, the acceleration is: Acceleration = (Change in Speed) / (Change in Time) = 20 mph / (1/6 hr) = 120 mi/hr^2.

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Answer:

55% of the total books are non-fiction.

Step-by-step explanation:

There are a total of 80 books, and there are 44 non-fiction books among them.

Divide 44 by 80, then multiply by 100 to get the percentage.

(44/80) × 100 = 55%

Answer:

mean=9

median=9

range=16

Based on the given information we have;

Mean = 9 miles ​

Median = 9 miles ​

Range = 6 miles

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work.

Mean= 10 + 3 + 17+ 1 + 8 + 6+ 12 + 15 / 8

Mean= 9

The median=9

The range = maximum - minimum

= 6

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Answer:

The correct option is;

C) 6554

Step-by-step explanation:

The given data are;

Day,   Amount of change in Bacteria

1,            2

2,          -8

3,           32

4,          -128

Given that the data follows a geometric sequence, we have;

The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;

\(S_n = \dfrac{a \times \left (r^n - 1\right )}{r - 1}\)

Which gives;

\(S_7 = \dfrac{2 \times \left ((-4)^7 - 1\right )}{(-4) - 1} = \dfrac{2 \times \left (-16384- 1\right )}{-4 - 1} = \dfrac{2 \times \left (-16385\right )}{-5} = 6554\)

Therefore, the correct option is C) 6554.

Answer:

The answer i believe is y=-10/3 - 4x/3

Step-by-step explanation:

Answer

825

Step-by-step explanation:

lxwxh = 11x5x15 hope this helps :D

The equation of the line shown in the given graph is y = x/2 + 4

From the question, we are to write the equation for the line shown in the graph

To write the equation of the line we will use the two points given on the line, (-2, 3) and (2, 5)

Using the formula,

(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)

Then,

The equation becomes

(y - 3) / (x - (-2)) = (5 - 3) / (2 - (-2))

(y - 3) / (x + 2) = (5 - 3) / (2 + 2)

(y - 3) / (x + 2) = 2 / 4

(y - 3) / (x + 2) = 1/2

Cross multiplication

2(y - 3) = 1(x + 2)

2y - 6 = x + 2

2y = x + 2 + 6

2y = x + 8

Divide through by 2

y = x/2 + 4

Hence,

The equation is y = x/2 + 4

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The value of the weighted average cost of capital of the firm is 8.8%.

According to the statement

we have to compute the weighted average cost of capital of the firm.

And for this purpose,

The given information is:

debt with market value = $23 million and  

equity with market value = $46

Pre-tax cost debt = 5.4%

Cost of equity = 11% and marginal tax rate is 21%

So, The formula to find weighted average cost:

WACC = weight in equity × cost of equity + weight in debt × cost of debt × (1-tax rate)

Substitute the values in it then

Here weight in equity become = 46/(23+46)

weight in equity = 46/69

And

weight in debt = 23/69.

So, put the values then

WACC = 46/69 × 0.11 + 23/69 × 0.054 × (1 - 0.21)

WACC = 0.67 × 0.11 +  0.34 × 0.054 × (1 - 0.21)

WACC = 0.0737 + 0.01836 (0.79)

WACC = 0.0737 + 0.0145

WACC = 0.0882

WACC = 8.8%

So, The value of the weighted average cost of capital of the firm is 8.8%.

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The measure of side P to the nearest degree is 79 degrees.

Given:

ΔOPQ ,

O = 700 cm,

P = 840cm

Q = 620cm.

To find:

The measure of angle P.

According to the Law of Cosines:

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The law of cosines states:

                                   \(cos A = b^{2} +c^{2} - a^{2} / 2bc\)

Using Law of Cosines ΔOPQ, we get,

           cos P = o² +q²- p² / 2oq

       ⇒ cos P = (700)² + (620)² -(840)² /2×700×620

       ⇒ Cos P = 490000 + 384400 - 705600 / 868000

       ⇒ Cos P = 168800/868000

on further simplification, we get,

Cos P = 0.19447

P = Cos⁻¹ (0.19447)

P = 78.786236

P = 79.

∴ the measure of angle P is 79 degrees.

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Therefore, the measure of angle P is 79 degrees.

Answer:

Hola Amigo mate!

The answer is

So, here tan A means opposite side divided by the adjacent side.

TAN A= \(\frac{Opposite}{adjacent}\)

Opposite of side A is 10cm and its adjacent side is 15cm!

So, TAN A IS:- \(\frac{10}{15}\)

Tan A= 0.667

The difference in the number of miles ran by Kiki during practice is 186 miles.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Given that Kiki runs 437 miles during the first week of track practice and she runs 623 miles during the second week of track practice.

The difference in miles will be:

= 623 - 437

= 186 miles.

Therefore, the miles difference is 186 miles.

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Complete question

Kiki runs 437 miles during the first week of track practice. She runs 623 miles during the second week of track practice. What is the difference in the number of miles?

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

We have,

The total number of people who watch drama.

= 12 + 20 + 19

= 51

The total number of people who is older than 20 years who watch drama.

= 20 + 19

= 39

Now,

The probability that the person selected is older than 20 years old and watching the drama movie.

= 39/51

= 0.765

Thus,

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

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The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Subtraction = Minus of any two or more numbers with each other called subtraction.

As per the given,

1.5g - 10 + 6.5g - 3

Bring near of likely terms,

1.5g + 6.5g - 10 - 3 = 8g - 13

Hence "The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13".

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Answer:

\(x = 0\\\\y = 1\)

Step-by-step explanation:

We have the equations

\(-3x - 9y = - 9\)

\(3x - 3y = - 3\)

Add the equations

\(\begin{aligned}3x-3y& =-3\\+\\\underline{-3x-9y&=-9}\\-12y&=-12\\\end{aligned}\\\\\\y = \dfrac{-12}{-12} = 1\\\\\)

Substitute y = 1 in the first equation:
\(-3x - 9 \cdot 1 = -9\\ \\-3x - 9 = -9\\\\-3x = -9 + 9 \text{ (add -9 to both sides)}\\\\-3x = 0\\\\x = 0\\\)

Answer:

The smallest possible value of the divisor is 19

Step-by-step explanation:

The given numbers for division are;

3759 and 4139, the remainder = 16

Let x represent the number

Therefore, we have;

x > 16

x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123

The factors of 3743 obtained from an online resource are 1, 19, 197, 3759

The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123

The common factors of 3743 and 4123 are 1, 19

Given that x > 16, we have, x = 19

Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19

Answer:a c b

c

Step-by-step explanation: did it already

1. Point A on the number line is one interval mark to the right of -5, which means it is located at position 4 on the number line.

A number line is the visual representation of different numbers.

It is a straight line with numbers marked at equal intervals.

It can be used to represent both positive and negative numbers, with zero as the center point.

2. Point B on the number line is two interval marks to the left of 10, which means it is located at position -14 on the number line. Therefore, the opposite of Point B is 14.

3. The absolute value of a number represents its distance from zero on the number line, regardless of whether the number is positive or negative. The absolute value of 7 is simply 7.

4. The absolute value of -14 is the distance between -14 and 0 on the number line, which is 14 units. Therefore, │-14│ is equal to 14.

5. Two integers that have the same absolute value could either be the same integer or opposite integers. For example, 3 and -3 have the same absolute value of 3, while 4 and -4 have opposite values but the same absolute value of 4. Therefore, the answer is they could be the same or opposite integers.

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To write in standard form, Since the exponent is negative 2, move the decimal point two units to the left.

Answer:

4.25 Minutes

Step-by-step explanation:

time = distance / rate
---
time = distance / rate

time = 1,275 feet / 300 feet per minute

time = 4.25 minutes

The standard deviation of a students grades is zero because the student scored the same grade every time. This is because if the standard deviation of a student's grades is zero, it means that all the grades are the same and there is no variation between them. So the option B is correct.

A student's grades have a zero standard deviation since they consistently receive the same grade. This is due to the fact that zero standard deviation indicates that all of a student's grades are the same and do not differ from one another.

This means that the student is achieving the same grade every time, which is not indicative of their academic performance. So the option B is correct.

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The complete question is:

The standard deviation of a students grades is zero. What do you know about the grades of this student? Why do you say so?

A. The student scored low grades.

B. The student scored the same grade every time

C. The student's grade is unpredictable

D. The student got a B on all tests

Answer:

Yes and closed interval

Step-by-step explanation:

The computation is shown below:

For the sum and the reciprocal as small as the possible equation is as follows

\(\(\frac{d}{dx}\left(x+\frac{1}{x}\right)=0.\)\)

Now take out the derivates,

So,

\(\(1-\frac{1}{x^2}=0,\)\)

or we can say that

\(\(x^2-1=0\rightarrow x=\pm1.\)\)

As the only positive number is to be determined i.e

x = 1

So this problem needed the optimization over a closed interval and the same is to be considered.

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, quadrilateral, rhombus, parallelogram, circle, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.

In this scenario, we can reasonably infer that to divide the triangles into these regions, you should construct the perpendicular bisector of each segment. These perpendicular bisectors intersect and divide each triangle into three regions. Hence, the points in each region are those closest to the vertex in that region.

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A decimal number system uses a base of 10, and it includes 10 numerals: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Binary system uses a base of 2 and has only two numerals: 0 and 1.

The octal system has a base of 8, and it includes eight numerals: 0, 1, 2, 3, 4, 5, 6, and 7.

Finally, the hexadecimal system has a base of 16, and it includes sixteen numerals: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Each hexadecimal digit corresponds to four binary digits (bits).To convert a decimal number to hexadecimal, we use the division-remainder method.

This method involves the division of the decimal number by 16 and writing the remainder as a hexadecimal digit. If the quotient is less than 16, it is written as a hexadecimal digit.

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