Find and state the inverse of the function, and also state whether the inverse is a function.
((3,5), (2,8), (1.5), (0.3))

Answer:

x=6

Step-by-step explanation:

x+54+5x=90

6x+54=90

6x=90-54

6x=36

x=36/6

x=6

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If 1 gallon equals 4 quarts, Lorraine fill can 4 jars. Hence option B is the correct option.

What is the unit of an object?

The user can describe locations and dimensions in a wide range of various coordinate systems using unit objects. Every drawing is done in relation to a viewport, and the units determine the coordinate system to use there. "npc" is one example of a unit (coordinate system).

Given Lorraine filled a pot with tomatoes and the volume of the pot is 1.5 gallons.

She wants to fill the tomatoes in jars. The volume of the jar is  1.5 quarts.

1 gallon is equal to 4 quarts.

1.5 gallons is equal to 1.5 × 4 quarts = 6 quarts.

The number of jars that are filled with tomatoes is 6 quarts/ 1.5 quarts = 4.

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Answer:

volume of the sphere

[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ \frac{4}{3} \: \times \pi \times 1000 \\ 1333.333333333\pi {in}^{3} [/tex]

answer is option C

The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .

The given polynomial is  7x³ + 5x + 4x⁵ + 2x²

To find the degree of the polynomial we will write the equation down in the descending power of x

which is ,

4x⁵ + 7x³ + 2x² + 5x

Here , the highest power of the variable that appears with nonzero coefficient is 5.

So ,degree of the polynomial is said to be 5.

The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.

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Answer: C

Step-by-step explanation:

You would work backwards. So it would be 1:00-2 hours so the answer would be 11:00 A.M

Answer:

answer: 1/64 of 1.6%

Step-by-step explanation:

The answer is this because the probability of the spinner landing on green is 2/8 now that multiplied by itself 3 times equals 1/64 so 1/64 is the probability hope that helps!

Answer:

11 = x

Step-by-step explanation:

The cost of soda as calculated from the data given is found to be as 0.9 cents.

the price of 1 burger = x

the price of 1 soda =y

Therefore, the equation for Uri and Gen becomes,

2x + y = $2.10

x+ 2y = $2.40

On solving these two equations we will get the value of x and y which represents their cost.

on multiplying equation 2 with 2 , we will get ,

2x + 4y = 4.80

Therefore , on subtracting equation 1 and 2 ,

 2x + y = $2.10

- 2x + 4y = 4.80

=> -3y = - 2.7

=> y = 0.9

Therefore x will be ,

x+ 2y = $2.40

x+ 2(0.9) = $2.40

x + 1.8 = $2.40

x = 2.40 - 1.8

  = 0.60

Therefore, cost of soda is 0.9 cents.

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Answer:

Grace will be 32 years old in 2027.

Answer: she will be 32 years old.

Step-by-step explanation:

The total quantity of water that the container would have to hold is given as 8.

We know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.

We can use the following formula to find the number of bottles:

Number of bottles = Container size / Size of each bottle

We can substitute the values into the formula:

Number of bottles = 1 / (1/8) = 8

So the container can hold 8 bottles of water.

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Answer:

17

Step-by-step explanation:

8²+15²=289

√289=17

Remember,  Pythagorean theorem

Answer:

22°

Step-by-step explanation:

angles in a triangle sum upto 180°

100+58+<b=180

<b=180-158

<b=22°

The data of the rainfall amount in inches to the locations are used to plot the attached line plot created with MS Excel.

A line plot is a graph is the graphical display of data as check marks or points above a number line.

A line plot shows the frequency of the values in the data on the number line, using dots or check marks. The frequency of the data is shown above the specified locations on the graph of a line plot.

The line plot is therefore, indicative of how frequent particular values in the dataset are.

The possible data in the question are presented as follows;

Rainfall Amount; 1/8,[tex]{}[/tex] 3/8,  3/4,  3/4,     1/4,    1 1/4, 1/8,     1/4,    1,     1/8

Location;     [tex]{}[/tex]          1,    2,     3,      4,        5,       6,     7,       8,      9,    10

The frequency of the data in a tabular form are;

Rainfall        [tex]{}[/tex]  Frequency

1/8        [tex]{}[/tex]          3 locations

3/8        [tex]{}[/tex]         1 location

3/4        [tex]{}[/tex]         2 locations

1/4       [tex]{}[/tex]           2 locations

1 1/4       [tex]{}[/tex]         1 location

1        [tex]{}[/tex]              1 location

The above frequency values can be used to create the attached line plot created with MS Excel

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Answer:

x ≥ 2

Step-by-step explanation:

the solid circle at 2 indicates that x can equal 2

the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is

x ≥ 2

Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.

A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.

A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.

Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.

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Answer:

48 hours

Step-by-step explanation:

you would divide the total by the part (328.80/6.85) and that would give you her hours. hope this helps

Answer:

48 hours

Step-by-step explanation:

328.80 ÷ 6.85=48 hours in a week

Answer:

x = 2

Step-by-step explanation:

If you look at the equation:

(x + 2) = 4

We just need to solve for x.

To solve for x, we can subtract the total by the addend, to get the variables value.

4 - 2 = 2

Therefore, the value of x is 2.

Answer:

d. Some customers had more than one drink.

Step-by-step explanation:

The exact question is as follows :

Given - Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant. She decides to use digits from a random  number table to represent the drink option a customer will order (0=no drink, 1=small  drink, 2=medium drink, 3=large drink, ignore digits 4-9)

To find - Why does this NOT model the  situation?

a. The choices are not equally likely to occur.

b. Some of the digits were ignored.

c. The choice are independent of each other.

d. Some customers had more than one drink.

Solution -

The correct option is - d. Some customers had more than one drink.

Reason -

If Customer order more than one drink, then also he has to order either of the digits.

So, Hannah can not be sure about the order that he wants single order or wants to repeat the order.

The length of the shortest piece is 5, and the longest piece is 13 feet by solving the equations.

The length of the shortest piece is 5, and the longest piece is 13 feet.

the solution is as follows,

Greg has a piece of rope that is 18 ft long.

He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.

Let the length of the shorter piece be x.

And the length of the longer piece is 3x -2.

Greg has a piece of rope that is 18 ft long.

Then,

longest piece+ shorter piece = 18

x + 3x -2 = 18

4x - 2 =18

4x = 18+2

4x = 20

x= 20/4

x = 5.

Therefore,

The length of the shorter piece is x =5.

And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13

Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.

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Answer:

Step-by-step explanation:

The mean of 4 5 6 7 8

there are 5 numbers in sequence, you can solve at a glance by looking at the number in the middle, or add the numbers and divide them by their number, in any case the answer will be 6

4 5 6 7 8    (6 is central)

or

(4 + 5 + 6 + 7 + 8) : 5 =

30 : 5 =

6

Answer:

x = 24

Step-by-step explanation:

The angles of a triangle added together equal 180⁰. Set up a simple equation to solve for x.

90⁰ + 42⁰ + (2x)⁰ = 180⁰

90 + 42 = 132

2x = 180 - 132

2x = 48

x = 24

Answer:

x = 24

Step-by-step explanation:

2x + 42 + 90 = 180

2x + 132 = 180

2x = 48

48/2 = x

x = 24

Have a nice day!

We can express √832 as 4(2√13).

A definite integral of a function can be represented as the signed area of the region bounded by its graph.

Given is the root of 832 or √832.

Assume that {4n} is equal to {y}. So, we can write -

y = 4n

Squaring both sides, we get -

y² = (4n)² = (√832)²

y² = 16n² = 832

16n² = 832

n² = (832/16)

n² = 52

n = √52

n = 2√13

So, we can write (√832) as 4(2√13).

Therefore, we can express √832 as 4(2√13).

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Answer:

hi there I am Madhumita a good time to explore new ways of learning and smart ways of learning and smart ways of earning a living the good work he is there a way to get lost in the given equation of state for the diagram

Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.

Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!

Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.

minimum = 35

maximum=50

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Taking into account, the number of successful throws into different shapes, Mollie is just as likely to hit a triangle as a circle. i.e option C.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.

Since, the number of throws of darts by Mollie is same for both the circle and triangle, there is equal likelyhood to hit the triangle as a circle. Which is the required true statement.

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Answer:

no, rectangles have 2 sets of parallel sides but in a square all sides are parallel

Answer:

no

Step-by-step explanation:

She is not correct because in the hierarchy squares are last. All squares are rectangles but not all rectangles are squares.  Some rectangles do not have all the properties of a square.

Answer:

51.5

Step-by-step explanation:

i think not sure if there's an odd number of numbers you get the 2 numbers add them up and divide them by 2! hope this helps! good luck.

Answer:

One possible equation is  2m+16 = 40

There are other possible equations to set up as well.

That equation solves to m = 12 which means both plans cost the same when you go 12 MB over the limit (using 27 MB total).

===============================================================

Explanation:

The unlimited plan costs $40 a month no matter how much data you use.

The second plan costs $16 a month, and there are no extra fees as long as you don't go over the limit of 15 MB. If you do exceed this limit, then you're charged an extra $2 per MB. That means an extra 2m dollars is tacked onto the 16 mentioned earlier,  where m is the amount of MB you've gone over the limit. Overall, the expression 2m+16 represents the cost of the second plan. If you don't go over the limit, then you'll use m = 0 for the second plan.

Set that expression equal to 40 to set up the equation. Solving the equation leads to...

2m+16 = 40

2m = 40-16

2m = 24

m = 24/2

m = 12

If you exceed the limit by 12 MB, then both plans cost the same at $40 per month.

Note: Going 12 MB over the limit means you've used 15+12 = 27 MB.