m(n+r)=s solve for n. Show two methods.

The next time Maria will do both workouts on the same day is 15 days

Find the lowest common multiple (LCM) for both weight days and long-run days

3 = 3 , 6, 9, 12, 15, 18, 21

5 = 5, 10, 15, 20, 25, 30

The lowest common multiple (LCM) for both weight days and long-run days is 15

Therefore, Maria will do both workout again in 15 days time.

Complete question:

The chart shows Maria's workout schedule. Today she worked out with weights and then had a long run. When is the next time Maria will do both workouts on the same day? Weights every 3 days and long run every 5 days

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They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning

Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.

Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.

On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.

Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.

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(3) Add: Under applied overhead 34,000

(4) Adjusted cost of goods sold 364,000

1 and 2 RAW MATERIAL INVENTORY

Beginning balance 75,000

a 225,000 150,000 b, Ending Balance 150,000

WORK IN PROGRESS INVENTORY

Beginning balance 140,000

b 125,000 352,000 g

c 60,000

f 105,000

j Ending Balance 78,000

FINISHED GOODS INVENTORY

Beginning balance -

g 352,000 330,000 h

Ending Balance 22,000

FACTORY OVERHEAD

b 25,000

c 40,000 105,000 f

d 74,000

Ending Balance 34,000

COST OF GOODS SOLD

h 330,000

Ending Balance 330,000

Factory overhead applied on the basis of direct labor cost .

Hence applied overhead = 60,000 x 175% = $105,000Step: 2

3)

Computation of under /(over) applied OH

Actual OH($) Applied OH ($) Under /(over) applied OH ($)

139,000 105,000 34,000

Actual manufacturing overhead:

$

Indirect material 25,000

Indirect Labour 40,000

Other manufacturing overhead 74,000

139,000

4)

Cost of goods sold (Unadjusted) 330,000

Add: Under applied overhead 34,000

Adjusted cost of goods sold 364,000

Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.

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The number of ways in which the lottery ticket can be chosen are,

999.

Given, a lottery number is of 4 digits

we have to find the number of ways a lottery number can be chosen.

as, we have to choose 4 digits then, each place has 10 choices

so, the number of ways in which the lottery ticket can be chosen are,

10×10×10×10

10000

now, 0000 can not be any lottery number so,

the number of ways in which the lottery ticket can be chosen are,  

1000 - 1 = 999.

Hence, the number of ways in which the lottery ticket can be chosen are,

999.

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The formula for f(x) is f(x) = 1/4(8 - 5x)

The equation of the function is given as:

-5x - 4y = -8

Add 5x to both sides of the equation

-4y = 5x - 8

Divide both sides both the equation by -4

y = -1/4(5x - 8)

Rewrite the above equation as:

y = 1/4(8 - 5x)

Express the above equation as a function

f(x) = 1/4(8 - 5x)

Hence, the formula for f(x) is f(x) = 1/4(8 - 5x)

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Answer:

f(x)=− 5/4x+2

Step-by-step explanation:

khan says so duh

Step-by-step explanation:

you can simply multiply things out.

4/9 × y = 8/3

4y = 9×8/3 = 3×8 = 24

y = 6

or you could have transformed the right hand side into a fraction of the same denominator (9) :

8/3 = 8/3 × 3/3 = (8×3)/(3×3) = 24/9

4/9 × y = 24/9

that means 4y = 24

y = 6

A quadrilateral is a polygon with four sides. Another name for quadrilateral ABCD is ADCB.

A four-sided polygon with four edges and four corners is known as a quadrilateral. The name comes from the Latin words Quadri, which means "four," and latus, which means "side."

As we know that in order to name a polygon the letters should be always end-to-end connected, therefore, letters can't be chosen randomly.

For example, if there is a quadrilateral as shown below in the image then it can be named PQRS or PSRQ. Therefore, the letters should be consecutive to each other.

Hence, the other name for quadrilateral ABCD is ADCB.

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Using the Normal Z-distribution and the values from the Z-table, We can calculate that 12.5% can be expected to score between 70 and 90 according to the value of mean and standard deviation provided.

As opposed to methods for gathering statistical data, mathematical statistics is the application of probability theory, a subfield of mathematics, to statistics. Because it integrates math ideas to create an analysis of a data set that may be used to comprehend a relationship in the data, statistics has earned a reputation for being an extremely challenging course, especially when studied in college.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.

mean =100

standard deviation =60

\(70 \leq x \leq 90\)

\(70-100 \leq x-100 \leq 90-100\)

\(-0.5 \leq Z \leq -0.167\)

P = 0.125(From Z-Table)

Required percentage  = 12.5%

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Answer: (8,0) and (0,-4)

Step-by-step explanation:

The x-intercept of an equation is when the equation touches the x-axis which is also where y = 0

So the x coordinate of the x-intercept is -2x + 0 = -16 as y = 0

x = 8 so the x-intercept is (8,0)

The y-intercept of an equation is when the equation touches the y-axis which is also where x = 0

So the y coordinate of the y-intercept is 0 + 4y = -16 as x = 0

y = -4 so the y intercept is (0,-4)

Answer:

i wish id'knew

Step-by-step explanation:

Answer:

Step-by-step explanation:

um how to i noo i just deleted all of my work

Solution. To graph f, we graph the equation y=f(x).

To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.

\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)

So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.

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The concept of Linear Regression including the difference between the dependent and independent variable is given below .

In the question ,

we have to explain the concepts of Linear Regression ,

the term Linear regression is defined as the relationship between the dependent and one independent variable through a linear equation.

It is called Simple Linear Regression when only one independent variable is used and

it is called Multiple Linear Regression when two or more independent variables are used .

the dependent variable is the variable that is being studied or that we want to predict, and

the independent variable is the variable which is independent in nature and used to predict  dependent variable .

Therefore , the concepts about Linear Regression are explained .

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The number of subsets that [n] have which contain exactly one element 1 and 2 is 2⁽ⁿ⁻¹⁾ .

Let us assume that [n] means the set {1, 2, 3, ..., n}.

Now For a subset having n elements ,we have  = 2ⁿ total subsets, including the empty set and the set itself.

If we are looking for subsets that contain exactly one of the elements 1 and 2, there are two possibilities:

⇒ The subset contains element 1 but not element 2,

⇒ The subset contains element 2 but not element 1.

If we remove 1 and 2 from this , then the set [n] contains (n-2) elements,

So , the number of subsets become =  2⁽ⁿ⁻²⁾  subsets.

So , there is two ways to have exactly one of elements 1 or 2: add {1} to the subsets described, or add the subset {2} to subsets just described.

Therefore ,  [n] will contain 2⁽ⁿ⁻²⁾ subsets exactly one of 1 or 2

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Fill the  two-way frequency table as shown in the image attached.

A two-way frequency table is a way of displaying frequencies for two different categories collected from a single group of people.  One category is represented by the rows and the other is represented by the columns.

For the frequency table:

Total = 82

Apple

Total = 24

Students = 22

Teachers = 24 - 22 = 2

Grape

Total = 82 - 25 -24 = 33

Students = 33 - 4 = 29

Orange

Teachers = 25 - 24 = 1

Students

Total  = 22 + 29 + 24 = 75

Teachers

Total  = 2 + 4 + 1 = 7

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The average rate of change for the function f(x) = \(−x^4/ 4x^3 − 2x^2+ x + 1, from x = 0 to x = 1 is -13/4.\)

The function f(x) =\(−x^4/ 4x^3 − 2x^2+ x + 1\) is given and we have to calculate the average rate of change for the function from x = 0 to x = 1.The formula for the average rate of change between two points is:f(b) - f(a) / b - a Substitute the values of f(1) and f(0) into the formula, and then subtract.1.

Plug in 1 for x:f(1) = \(−1^4/ 4(1^3) − 2(1^2)+ (1) + 1= −1/4 − 2 + 1 + 1=\) −9/4The point (1, −9/4) is on the function f(x).2. Plug in 0 for x:f(0) = −0^4/ 4(0^3) − 2(0^2)+ (0) + 1= 1The point (0, 1) is on the function f(x).3. Subtract the y-coordinates to get the numerator of the formula. f(1) - f(0) = (-9/4) - 1 = -13/44. Subtract the x-coordinates to get the denominator of the formula. 1 - 0 = 1Therefore, the average rate of change for the function f(x) = \(−x^4/ 4x^3 − 2x^2+ x + 1, from x = 0 to x = 1 is -13/4.\)

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Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Answer: 30t + 30m ≤ 330

Step-by-step explanation:

The maximum amount of pounds the truck can carry is 330 pounds so whatever will be carried has to either be equal to or less than 330 pounds.

= ≤ 330

t represents the number of bags of top soil and m represents the number of bags of mulch.

Each bag of top soil is 30 pounds and each bag of mulch is 30 pounds as well.

= 30t + 30m

Put together;

30t + 30m ≤ 330

Answer:

12

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

In scenario three, we explore additional options e and f, each with their own unique probabilities and potential outcomes.

Option e introduces a 50% chance of winning $0 or an unspecified amount, while option f offers a 50% chance of winning either $20 or $60.

These options introduce different potential outcomes and associated probabilities compared to the original scenarios. In option e, there is an equal chance of winning nothing or winning an unspecified amount of money.

The introduction of these options expands the range of possible outcomes and probabilities in scenario three, providing different risk-reward trade-offs for the decision-maker.

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Answer:

yes

Step-by-step explanation:

The y-intercepts are not on the same line

The only criterion a function has is that any given input (x-value) must have at most one output (y-value). The graph fits this, so yes, it is a function. The domain of the function is [0, 6] and the range is [-7, 18].

If the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.

Given that the two cities are at a distance of 381 miles and they start at 8:00 am in the morning.

We are required to find the time at which Jermaine and Brandon.

let the distance that Jermaine covers be x. In this way the distance that is covered is 381-x.

Time=Distance/speed

x/67=(381-x)/60

60x=67(381-x)

60x=25527-67x

137x=25527

x=25527/137

x=186.33

Distance that is covered by Brandon=381-186.33

=144.67 miles

Time taken by David=x/67

=186.33/67

=2.78 hours

We have to break an hour in 78% which is 46.8 minutes.

Actual time=(8+2)hours+46.8 minutes=10:46 A.M.

Hence if the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.

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Answer:

The value is not a solution of the inequality.

Step-by-step explanation:

5 - x < 8

1. Substitute the variable, x, with -3: 5 - - 3 < 8

2. Use the KCC (keep,change,change) method to turn subtraction into addition: 5 + + 3 < 8

3. Add the numbers on left side of the inequality to get the answer: 8 < 8 - False statement - 8 is not less than 8.

To approximate the surface area of one slipcover for Davea's topiaries, we need more information regarding the shape and dimensions of the topiaries.

To calculate the surface area of a slipcover, we need information about the shape and dimensions of the topiary. Depending on the specific shape, whether it is a cone, cylinder, or other geometric form, the surface area formula will differ. For example, if the topiary is a cone, the surface area formula would involve the radius and slant height of the cone. If it is a cylinder, the surface area formula would involve the radius and height of the cylinder. Without these details, it is impossible to provide an accurate estimate of the surface area of the slipcover. However, in general, the slipcover would cover the entire surface of the topiary, excluding the base, to provide adequate protection against frost.

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Answer:

12 meters to the left, or -12

Step-by-step explanation:

3 meters per second for 4 seconds

Meaning it's 3 x 4

3 x 4 = 12, so therefore it's -12 meters or just 12 meters to the left.

Answer:

12 meters to the left of your starting point.

Step-by-step explanation:

You start at 0 meters. You then start running to the left with an acceleration of 3 m/s to the left. After each seconds, you are 3 more meters to the left.

So

3 m/s * 4 s = 12 m to the left.

Hence, the answer in 12 meters to the left.

The correct option a.) the mean distribution of sample means is the same as the population mean.

The probability distribution of the a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution.

Thus,  the mean distribution of sample means is the same as the population mean.

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The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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The true velocity of the vector of drone is V = -4i + 4j

Given data ,

Let the velocity of a drone relative to the air is modeled by v = 3i - j

Now , the drone encounters wind with velocity modeled by w = -7i + 5j

And , The true velocity vector of the drone, taking into account both the velocity of the drone relative to the air and the velocity of the wind, is the vector sum of the drone's velocity and the wind's velocity.

Given the velocity of the drone relative to the air as v = 3i - j, and the velocity of the wind as w = -7i + 5j, we can add these vectors together to obtain the true velocity vector of the drone:

v + w = (3i - j) + (-7i + 5j)

To add vectors, we add their corresponding components. In this case, adding the i-components and j-components separately, we get:

(3i - 7i) + (-1j + 5j) = -4i + 4j

Hence , the component vector is V = -4i + 4j

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If you save $2,015.82 every year at an interest rate of 8%, you can retire in 30 years and live another 25 years while still having enough money to spend $80,000 per year.

To calculate the amount you need to save per year for the next 30 years, we can use the future value of an ordinary annuity formula.

The future value of an ordinary annuity formula is:

\(FV = P \cdot \left(\frac{(1 + r)^n - 1}{r}\right)\)

Where:

FV = Future value of the annuity

P = Payment amount per period

r = Interest rate per period

n = Number of periods

In this case:

P = Amount you need to save per year

r = 8% = 0.08 (annual interest rate)

n = 30 (number of years)

We want the future value (FV) to be equal to the amount needed to spend per year during retirement, which is $80,000.

Using the formula, we can calculate the amount you need to save per year:

\(\$80,000 = P \cdot \left[\left(1 + 0.08\right)^{30} - 1\right] / 0.08\$\)

Simplifying the equation:

\($80000 = P \cdot [1.08^{30} - 1] / 0.08$\)

$80,000 * 0.08 = P * [1.08³⁰ - 1]

$6,400 = P * [1.08³⁰ - 1]

Dividing both sides by [1.08³⁰ - 1]:

\($P = \dfrac{\$6400}{1.08^{30} - 1}$\)

Calculating [1.08³⁰ - 1]:

[1.08³⁰ - 1] ≈ 3.172024

Dividing $6,400 by 3.172024:

P ≈ \($\frac{6,400}{3.172024} \approx$ $2,015.82\) (rounded to the nearest cent)

Therefore, you need to save approximately $2,015.82 per year into your investment account at the end of each year for the next 30 years.

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