Under her cell phone plan, Violet pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $80 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Violet can use while staying within her budget? A) 80>3x+38 B) 80>3(38+x) C) 80<3x+38 D) 80<3(38+x)

Answer:

\(8\dfrac{1}{8}\ L\)

Step-by-step explanation:

Given that,

Amount needed for chicken stock is \(2\dfrac{1}{2}\ L\)

Josh makes \(3\dfrac{1}{4}\) times the recipe for a family reunion.

Let A is the amount neededto make soup for the family reunion. It can be calculated as follows :

\(A=2\dfrac{1}{2}\times 3\dfrac{1}{4}\\A=\dfrac{5}{2}\times \dfrac{13}{4}\\\\A=\dfrac{65}{8}\ L\\\\\text{or}\\\\A=8\dfrac{1}{8}\ L\)

So, \(8\dfrac{1}{8}\ L\)of chicken stock Josh use to make soup for the family reunion

0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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Answer:

the answer is 7,21

Step-by-step explanation:

Answer:

x-intercept = (4,0)

y-intercept = (0,-12)

Answer:

5x, -2x, x

Step-by-step explanation:

Like terms have the same variable parts.

The variable part of 3x is x.

Any term that has only x as its variable part is a like term to 3x.

Answer: 5x, -2x, x

Step-by-step explanation:

if 90 containers =8kg

72 containers = ? less

so 72/90 =8kg

0.8×8kg = 6.4kg

72containers =6.4kg

The slope of the line is 60 The bus is traveling at a speed of 60 miles per hour.

A line's steepness is determined by its slope. Slope can be computed mathematically as "rise over run" (change in y divided by change in x). In the slope-intercept form, the equation for the line is expressed as follows: y = mx + b, where m denotes the slope and b the y-intercept. When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). Its y value of the y intercept point is represented by b in the equation.

Given that,

A line begins at ordered pair (0, 0) and goes through ordered pair (1, 60) and ordered pair (2, 120).

Slope of the line (m) = (y₂ - y₁) / (x₂ - x₁)

m = 120 - 60 / 2 - 1

m = 60

thus, slope of the line = 60

The bus is travelling at a speed of 60 miles per hour.

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The Insurance policy's anticipated value in this case is -20.

What is Insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

Given,

Man pays -118 for one year

coverage = 140000

probability = 0.9993

The method used to calculate the insurance policy's expected value is:

= Chance that he won't live to see the end of the year * Coverage value - The cost of the insurance

= (1 - 0.9993)*140,000 - 118

= -20.

In this situation, the man's insurance coverage is expected to be worth -20.

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To find how rapidly revenue is growing when 350 units have been sold, we need to calculate the derivative of the revenue function with respect to time (t), and then substitute the value of x (number of units sold) and the given rate of increase in sales.

The revenue function is given as R = 1000x - x².

To calculate the rate at which revenue is growing, we need to differentiate the revenue function with respect to time (t).

Since the rate of sales increase is given as 70 units per day, we have dx/dt = 70.

Differentiating the revenue function with respect to t, we get:

dR/dt = d(1000x - x²)/dt

        = 1000(dx/dt) - 2x(dx/dt)

        = 1000(70) - 2(350)(70)

        = 70000 - 49000 = 21000.

Therefore, the rate at which revenue is growing when 350 units have been sold is $21,000 per day.

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Answer:

41

Step-by-step explanation:

The cash settlement for both debts using a simple interest rate of 4.5% will be approximately $2553.

To determine the cash settlement for both debts, we need to first calculate the present value of each debt using the simple interest formula, and then sum them up.

Step 1: Convert the interest rate from percentage to decimal.
Interest rate = 4.5% = 0.045

Step 2: Calculate the present value of the first debt ($1000 due in 3 months).
PV1 = Future Value / (1 + (interest rate × time period))
PV1 = $1000 / (1 + (0.045 × (3/12)))
PV1 = $1000 / (1 + 0.01125)
PV1 ≈ $988.89

Step 3: Calculate the present value of the second debt ($1600 due in 6 months).
PV2 = Future Value / (1 + (interest rate × time period))
PV2 = $1600 / (1 + (0.045 × (6/12)))
PV2 = $1600 / (1 + 0.0225)
PV2 ≈ $1564.10

Step 4: Add the present values of both debts to find the cash settlement.
Cash Settlement = PV1 + PV2
Cash Settlement = $988.89 + $1564.10
Cash Settlement ≈ $2553

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The solution set for the logarithmic equation 2logx = log64 is {8, -8}.

Hence option is a (8,-8 ).

To solve the equation 2logx = log64, we can use the properties of logarithms.

Let's simplify the equation step by step:

Step 1: Apply the power rule of logarithms

The power rule of logarithms states that log(a^b) = b * log(a). We can apply this rule to simplify the equation as follows:

2logx = log64

log(x^2) = log64

Step 2: Set the arguments equal to each other

Since the logarithms on both sides of the equation have the same base (logarithm base 10), we can set their arguments equal to each other:

x^2 = 64

Step 3: Solve for x

Using the property mentioned earlier, we can simplify further:

2logx = 6log2

Now we have two logarithms with the same base. According to the property log(a) = log(b), if a = b, we can equate the exponents:

2x = 6

Dividing both sides of the equation by 2, we get:

x = 3

To find the solutions for x, we take the square root of both sides of the equation:

x = ±√64

x = ±8

Therefore, the solution set for the equation 2logx = log64 is {8, -8}.

The correct choice is A. The solution set is {8, -8}.

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Answer:A=πr2=π·1.32≈5.30929cm²

A≈5.31cm²

Step-by-step explanation:

please give me brainliest

Answer:

5.3066

Step-by-step explanation:

3.14  x 1.3 x 1.3

The best prediction about the number of cookies the college will need is that they will have about 480 students who prefer cookies. Option A is the correct answer.

According to the table, out of 225 students, 27 students prefer cookies. To find an estimate of the number of cookies the college will need for its 4,000 students, we can set up a proportion:

27/225 = x/4000

Solving for x, we get:

x = (27/225) * 4000

x = 480

Therefore, the best prediction about the number of cookies the college will need is that they will have about 480 students who prefer cookies. Option A is the correct answer.

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Answer:

It depends on how many goats the farmer has in the first place.

Step-by-step explanation:

If he has 0 goats he needs 10 more.

If he has 1 goat he needs 9 more.

If he has 2 goats he needs 8 more.

If he has 3 goats he needs 7 more.

If he has 4 goats he needs 6 more.

If he has 5 goats he needs 5 more.

If he has 6 goats he needs 4 more.

If he has 7 goats he needs 3 more.

If he has 8 goats he needs 2 more.

If he has 9 goats he needs 1 more.

If he has 10 goats he needs 0 more.

The number of hours required for the water in harbor to reach a depth of 28 feet the second time is 10 hours

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the equation be represented as A

Now , the value of A is

y = 7 cos ( πx / 6 ) + 25

And , the required depth of water the second time is = 28 feet

Substituting the value of y as 28 feet in the equation , we get

28 = 7 cos ( πx / 6 ) + 25

On simplifying the equation , we get

Subtracting 25 on both sides of the equation , we get

7 cos ( πx / 6 ) = 3

Divide by 7 on both sides of the equation , we get

cos ( πx / 6 ) = 3/7

On simplifying using inverse trigonometric relations , we get

\(\frac{\pi x}{6}=\arccos \left(\frac{3}{7}\right)+2\pi n,\:\frac{\pi x}{6}=2\pi -\arccos \left(\frac{3}{7}\right)+2\pi n\)

\(x=\frac{6\arccos \left(\frac{3}{7}\right)}{\pi }+12n,\:x=12-\frac{6\arccos \left(\frac{3}{7}\right)}{\pi }+12n\)

So , the value of x is

x=2.15410221 + 12n,  9.84589778 + 12n

Therefore , the number of hours for depth of the water to be 28 feet at second time is 9.845 hours

9.845 hours ≈ 10 hours

Hence , The number of hours required for the water in harbor to reach a depth of 28 feet the second time is 10 hours

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Answer: 1.9

Step-by-step explanation: edge

Answer:

$132

Step-by-step explanation:

40% off means it is actually 60% of the regular price.

Thus, you will multiply the original (220) by .6 (this means 60 percent)

and you will get 220*.6=132

Answer:

132

Step-by-step explanation:

First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132

Translate:

Twice a number increased by 2 is at least 10.

     2 · n                               +2           ≥             10

Solve:

   2n + 2 ≥ 10

         2n ≥ 8

           n ≥ 4

As long as you pick a number that's 4 or greater, you'll satisfy that statement.

Answer:

h = -3

Translates the parent function 3 units to the left.

Step-by-step explanation:

An absolute value function, f(x) = |x - h| + k, is a mathematical function that returns the non-negative magnitude (absolute value) of a real number x. Graphically, it is a V-shape with its vertex at (h, k), and is symmetric about the x-value of its vertex, x = h.

As the graph of the given function passes through two points (-6, -2) and (-0, -2) that have the same y-value of y = -2, and the function is symmetric about the x-value of its vertex, the value of h is the midpoint of the x-values of the two points:

\(h=\dfrac{-6-0}{2}=\dfrac{-6}{2}=-3\)

We are told that the graph has a vertex at (h, -5), so k = -5.

Substituting the values of h and k into the given function gives:

\(f(x)=|x-(-3)|-5\)

\(f(x)=|x+3|-5\)

This is a V-shaped graph, with a vertex at (-3, -5), symmetric about x = -3, and that passes through the points (-6, -2) and (0, -2).

The absolute value parent function is f(x) = |x|.

Adding "a" to the x value of the function translates the graph a units to the left. Therefore, as substituting h = -3 into the formula results in the addition of 3 to the x-value, the graph of the parent function has been translated 3 units to the left.

Subtracting k from the function translates the graph k units down. Therefore, as k = -5, this value translates the graph of the parent function 5 units down.

Answer:

6)B 7)C 8)B 9)D 10)c

Step-by-step explanation:

i think i did them all correct

Answer:

x=20 the angles are 80 and 100

Step-by-step explanation:

those types of angels are supplementary, so we can set up an equation like this: 5x+4x=180

We'll get x=20, then we can put 20 into each angle to find out its measure:)

5(20)=100

4(20)=80

Answer:

D

Step-by-step explanation:

The formula for the Surface Area of a triangular prism is the following

SA = 2B + Ph

where:

SA = surface area

B = Area of base = Area of the triangle = (height * base) / 2

P = perimeter of base

h = height

Therefore in this case the Surface area would be

SA = 2 ((2*8)/2) + (5+5+8) * 11

SA = 2 (8) + (55 + 55 +88)

SA = 8 + 8 + 55 + 55 + 88 = 214

Answer:

Its c

Step-by-step explanation:

Answer:

\(\boxed{\tt r=26}\)

Step-by-step explanation:

\(\tt \cfrac{22}{11}=\cfrac{r}{13}\)

__________

\(\tt \cfrac{r}{13}=\cfrac{22}{11}\)

Divide numbers: ( 22/11 = 2)

\(\tt \cfrac{r}{13}=2\)

Now, multiply both sides by 13:-

\(\tt \cfrac{13r}{\bf 13}=2\times \bf \:13\)

Simplify:-

\(\tt \cfrac{13r}{13}=26\)

\(\tt r=26\)

_____________________

Hope this helps!

Have a great day!

The number of degrees of freedom for the numerator is = 9

The number of degrees of freedom for the denominator is = 3

A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.

a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction.

Given that an F-curve has df (9,3).

To find number of degrees of freedom for the numerator and denominator

In an F distribution, the numerator degrees of freedom is represented by the first number, while the denominator degrees of freedom is represented by the second number.

So in this case, df (9,3) means 9 degrees of freedom for the numerator and 3 degrees of freedom for the denominator.

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Answer:

28(27)(26) assuming that nobody can get multiple designations.

Step-by-step explanation:

Answer:

14.28

Step-by-step explanation:

Morning Smiles earned a 5% commission and $45,000 in additional selling costs by selling 8,000 coffee makers for $100 each. Admin costs came to $47,50 total cost: $612,500.

For a total of $612,500, the Morning Smiles Coffee Company sold 8,000 stoneware french press coffee machines in March. Each coffee maker cost $100 to purchase. Two other types of selling costs were incurred by the business: commissions equivalent to 5% of the sale price and additional selling costs totaling $45,000. The overall cost of administration was $47,500. By multiplying the $100 sales price by the 8,000 coffee makers that were sold, or $800,000, the entire cost of sales was determined. The commission of $40,000 and the overall selling charges of $45,000 (5% of $800,000) were then subtracted from the total cost of sales to yield a final cost of $612,500.

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Answer:

5x-10

Step-by-step explanation:

3x-4+2x-6

group like terms

3x+2x -4--6

5x-10

The expressions that are equivalent to 3x - 4 + 2x - 6 are:

5x - 2 - 6

5x - 16

To determine which expressions are equivalent to 3x - 4 + 2x - 6, we can simplify the given expression:

3x - 4 + 2x - 6

Combining like terms, we have:

(3x + 2x) + (-4 - 6)

Simplifying further:

5x - 10

Now, we can compare this simplified expression to the provided options:

a) 3x + 2x - 10

b) 5x - 2 - 6

c) 5x - 16

d) 6x - 10

By comparing the simplified expression 5x - 10 to the options, we find that options b) (5x - 2 - 6) and c) (5x - 16) are equivalent expressions.

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Answer:

2556

Step-by-step explanation: