Got this on my math test today:
x^(-1/3)=32x^(-2)

Answer:

Start with 60 fliers

post 1/4 of fliers so 60*.25=15

60-15=45 left

post 1/5 of remaining so 45*.20=9

45-9=36 left

Step-by-step explanation:

Last week: (had 60) (used 1/4)= (60)(1/4)= 15. So, you used 15.

You have 60-15=45 left. This is how many you have to start the week.

This week: (had 45) (used 1/5)= (45)(1/5)= 45/5=9. So, you used 9.

This means that you have 45-9= 36 left.

Mary Still did not post 60 fliers.

Total fliers Mary was having = 96

Fliers she posted last week = 1/6 = 0.16

Fliers left with Mary after posting 1/6 part last week

= 96 x 0.16

= 16

Fliers left with Mary after the posting of 1/6 of them

= 96 - 16

= 80

Now the new remaining number of fliers with Mary = 80

Fliers she posted this week = 1/4 = 0.25

Fliers left with Mary after posting 1/4 part this week

= 80 x 0.25

= 20

Fliers left with Mary after the posting of 1/4 of them this week

= 80 - 20

= 60

Therefore, the fliers that Mary still did not post = 60

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Answer: y=-3/4x-3.5

Step-by-step explanation:

First, set up the equation based on the information we already know. The slope-intercept form is y=mx+b (m being the slop and b is the y-intercept)

We already know the slope, so we can substitute it.

y=-3/4x+b

Now, the only variable we need to find is b (the y-intercept)

To do this we can substitute the point that was given, (2,-5)

Substitute -5 in for y and 2 in for x.

Then you get the equation -5=-3/4(2)+b

Multiply -3/4 and 2 and you get -5=-3/2+b

Add -3/2 from both sides to isolate b

You then get b=-3.5

Substitute b back in the original equation

Your final answer is y=-3/4x-3.5

The round of tip amount.

Total tip = $ 7.00

Total (Bill + Tip) = $ 39.00.

How to Calculate Tip?

To calculate the tip multiply the total check by 1 plus the decimal percentage tip you'd like to leave.

If you wanted to leave a 20% tip, you would add 1 to 0.20 to get 1.20. Multiply the bill by 1.20 to get the total amount you'd leave including tip.

To calculate this, you can multiply the bill amount by the tip percentage: $32 * 0.20 = $6.40.

The tip amount was $6.40.

Hence, the round of tip amount.

Total tip = $ 7.00

Total (Bill + Tip) = $ 39.00.

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Answer:

A=1 B=2 C=7

Step-by-step explanation:

Look at the graph!!!!

The solution  to the system of equations is (x, y) = (2, -1).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

WE are given the  system of equations

2x−y=5

y = 2x - 5

y=3x−7

Adding the two equations Then divide by 2

Subtracting the second equation from the first gives;

0 = x -2

x = 2

y = -1

therefore, The solution is (x, y) = (2, -1).

The solution  to the system of equations is (x, y) = (2, -1).

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The required zeros of the function y=(x-3)(x + 2)(x-2) is given as 3, -2, and 2. Option C is correct.

Here,
Zero of the function are the values of x, for a function for which the function gives y = 0,
So let y = 0,   - - - - - -(1)

Put y = (x-3)(x + 2)(x-2) in equation 1
(x-3)(x + 2)(x-2) = 0
Equating each parenthesis step by step with zero,
x - 3 = 0     ; x + 2 = 0     ;   x - 2 = 0  
    x  = 3     ;     x  = -2    ;        x = 2

So the values that came out are 3, -2, and 2, are said to be zeros of the given function,

When we substitute any value in the function then y becomes zero such as,
Put x = 3 in function,

y = (3-3)(3+2)(3 - 2)
y = (0)(5)(1)
y = 0

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James Handerson should shoot for 241.5 lbs.

First, convert 15% into a decimal by moving the decimal place over twice to get 0.15.

Then, set up this equation:

0.15 x 210 = 31.5

Now, 31.5 is the percent increase, so now we add to the original weight:

210 + 31.5 = 241.5

241.5 lbs.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

slope = undefined

Step-by-step explanation:

Find the slope of the line: (5,-3), (5,8)

slope = change in y / change in x

slope = ( -3 - 8) / (5 - 5)

slope = -11/0

slope = undefined

These points graph a vertical line.

answer:

the slope is undefined.

step-by-step explanation:

there is an equation (y2-y1)/(x2-x1) that allows for you to determine the slope. since this line is vertical, the slope is defined because if you plug the points into the equation, you would be dividing by 0.

Rounded to the nearest tenth of a million dollars, the company made $3.2 million in profit in the year 2003.

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. It is, in other words, the difference between income and costs. Profit is an important aspect in a company's performance and is often quantified in monetary terms, but it may also be viewed .For example, for each consecutive year after that, their profit increased by 13%.

Profits may be divided into two categories: net profit and gross profit. After deducting all costs, taxes, and expenses, a company's net profit is the overall profit it has made. In contrast, gross profit is the profit made by a firm before expenses and costs are deducted.

How to solve?

In the year 2001, the company made $2.2 million * 1.13 = $2.486 million in profit.

In the year 2002, the company made $2.486 million * 1.13 = $2.82778 million in profit.

In the year 2003, the company made $2.82778 million * 1.13 = $3.1987314 million in profit.

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In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.

There are many different types of equations, such as linear, quadratic, cubic, etc.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It shows that the expressions printed on the left and right sides have an equal relationship. In any mathematical equation, we have LHS = RHS (left hand side = right hand side).

Equations can be solved to find the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol in the sentence, it is not an equation.

Hence, In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

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Complete question-

Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.

Answer:

Go up by 1 and run 4, remeber slope: rise over run. If the point is 8,5 then find 8 on the x axis and 5 and the y, wherever they meet, that's your answer.

Step-by-step explanation:

The rate of change between the points (3.4, -0.1) and (3.5, 0.1) is 2.

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.

The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.

Therefore,

rate of change = Δy / Δx

rate of change = y₂ - y₁ / x₂ - x₁

Hence, let's find the rate of change of (3.4,-0.1) and (3.5,0.1).

rate of change = 0.1 + 0.1 / 3.5  - 3.4

rate of change = 0.2 / 0.1

rate of change = 2

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Therefore, the linear speed of the wheel on a bike is approximately 0.9π miles per hour.

The pace at which an object travels a specific distance in a predetermined amount of time is known as linear speed. By dividing the distance traveled by the time it takes to cover that distance, it may be used to determine how rapidly an item is travelling in a straight line. For instance, if a car moves 100 meters in 10 seconds, its linear speed is 10 meters per second. Linear speed is distinct from average speed, which takes into account any variations in velocity or direction throughout the duration of a voyage. Linear speed is also distinct from tangential speed, which is the pace at which an item travels along a circular route. Physics' fundamental idea of linear speed.

How to solve?

C=2πr,

C=2π(19)=38π.

linear speed of v=(38π/60)*5280=33.6π feet per second.

final speed of v=(33.6π/3600)*60=0.9π miles per hour.

Therefore, the linear speed of the bike is approximately 0.9π miles per hour.

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For 160 calories and 20 grams of carbohydrates 0.61 cups are required.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a one-cup serving of spaghetti with meatballs contains 260 calories and 32 grams of carbohydrates. A one-cup serving of chopped iceberg lettuce contains 5 calories and 1 gram of carbohydrates.

For 160 calories the number of cups will be calculated as,

1 cup = 260 calories

160 calories = ( 160 ) / 260 cups

160 calories = 0.61 cups

Therefore, for 160 calories and 20 grams of carbohydrates 0.61 cups are required.

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Answer:

Step-by-step explanation:

a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).

b.) 28.3 = [tex]23.1e^{0.0152t}[/tex]

1.22510823 ≈ [tex]e^{0.0152t}[/tex]

ln 1.22510823 ≈ 0.0152t

t≈13.4 MILLION

Answer:

−1.3x − 15.2

Step-by-step explanation:

step 1: simplify

4x−7.2−5.3x−8

=4x+−7.2+−5.3x+−8

step 2: combine like terms

=4x+−7.2+−5.3x+−8

=(4x+−5.3x)+(−7.2+−8)

=−1.3x+−15.2

The probability that the sample mean will lie between 1070 and 1120 is .7001 to .8500.

To find the probability that the sample mean will lie between 1070 and 1120, we use the Z-score formula:

Z = (x - μ) / σ

where x is the value we are looking for (in this case 1070 or 1120), μ is the population mean (1100), and σ is the population standard deviation (100).

Using this formula, we can calculate the Z-scores for 1070 and 1120, which are -0.3 and 0.2 respectively.

We can then use a Z-table to find the probability associated with each of these Z-scores. The probability associated with a Z-score of -0.3 is 0.6179, and the probability associated with a Z-score of 0.2 is 0.7886.

The probability that the sample mean will lie between 1070 and 1120 is the difference between these two probabilities, which is 0.1707. This is equivalent to a probability of 0.7001 to 0.8500.

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Answer:

d = {-10, 0, 3, 7, 8}

Step-by-step explanation:

the domain is the set of x values in a function

Answer:

A

Step-by-step explanation:

numerator = exponent of x (in this case is 1, so it can be omitted)

denominator = index of the root

√x

x=60°, y=15°, angle C is 45°, angle DBC is 105° and angle CBA is 75°.

In the given figure, ∠DBC=7y°, ∠CBA=5y°, ∠C=3y° and ∠D=x°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Here,

∠DBC+∠CBA=180° (Sum of adjacent angles is 180°)

⇒ 7y°+5y°=180°

⇒ 12y°=180°

⇒ y°=15°

∠DBC=7y°=105°, ∠CBA=5y°=75° and ∠C=3y°=45°

Now, ∠DBC=∠C+∠A

⇒ 105°=45°+∠A

⇒ ∠A=60°

Therefore, x=60°, y=15°, angle C is 45°, angle DBC is 105° and angle CBA is 75°.

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Answer:

D

Step-by-step explanation:

it is a regular pentagon.

so, all side lengths are equal, and also all cross connections between corners are equal.

that makes TR parallel to PQ.

and that makes SPQ an isoceles triangle (both legs are equally long). and the smaller triangle S to x to the angle to the right of x is similar to SPQ, which means they have the same angles.

so, the triangle interior angle at P = the triangle interior angle Q = y.

and they must be the same as the bottom 2 interior angles of the small triangle.

x and the angle right to x are equal too, as they are the triangle exterior (supplementary) angles to the bottom 2 interior angles of the small triangle.

we know that the sum of all angles of the internal trapezoid (PQ to x and its right neighbor) is 360.

and based on the EqualLogic found above these angles are

2×x + 2×y = 360°

x + y = 180°

Kate should deposit $46,158.28 monthly into an account

In this question, we have been given the amount A = $50,000,

interest rate R = 1.6%

period t = 5 years

We need to find the principal amount (P)

First, convert R as a percent to decimal

r = 1.6/100

r = 0.016

Using the formula of compound interest for P,

P = A / (1 + r/n)nt

P = 50,000.00 / (1 + 0.016/12)(12)(5)

P = $46,158.28

Therefore, Kate should deposit $46,158.28

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In the drawing, the length of the living room is 3 millimeters.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, Tyler made a scale drawing of an apartment. The scale of the drawing was 1 millimeter : 2 meters.

The living room is 6 meters long in real life and assuming in the drawing it is x millimeters.

∴ 1 : 2 : : x : 6.

1/2 = x/6.

x = 6/2.

x = 3.

So, In drawing it is 3 millimeters.

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Answer:

A. 4

Step-by-step explanation:

x/2 - 5 = -3

x/2 = 2

x = 4

Multiply both sides of the equation by 2.

Add 10 to both sides.

Add −6 and 10 to get 4.

Accuracy rate is equal to the difference of predicted value and true value  divide it by true value and then multiply by 100 to get the rate.

Accuracy rate = [ | Predicted value - True vale|/ true value ] × 100

Therefore, the accuracy rate is the percentage of the ratio of difference of predicted value and true value to the true value.

The given question is incomplete, I answer the question in general according to my knowledge:

How is the accuracy rate calculated?

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The intervals for which the function y = -7 - |x| is increasing and decreasing is given as follows:

The function is defined as follows:

y = -7 - |x|.

The parent absolute value function is increasing for x > 0 and decreasing for x < 0.

For this problem, the multiplication by -1 means that the function was reflected over the x-axis, meaning that the intervals of decrease and increase were exchanged, and thus they are given as follows:

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Answer: Ethan

Step-by-step explanation:

E:A

18:45 on page

12:9 per day

48:36 after 4 days

Ethan is further along in the book after 4 days