A. (f•g)(x)
B. (f•g)(-3)
f(x) = x^2+3x-2
g(x)= x-2

Answers

Answer 1

Answer: A. x^3 +x^2-8x+4 B. 10

Step-by-step explanation: (f•g)(x) is the same as f(x) • g(x)

A. (x^2+3x-2) • (x-2) = (x^3+3x^2-2x) -(2x^2+6x-4) -> x^3 +x^2-8x+4

B. plug in -3 for x -> (-3)^3 + (-3)^2 -8(-3) + 4 -> 10


Related Questions

simplify fully
2√3 x 3√8​

Answers

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?

Answers

The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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t ii 9. (a) describe and explain the difference between the mean, median, and mode. (b) make up an example (not in the book or in your lectures) in which the median would be the preferred measure of central tendency.

Answers

a) Mean, median, and mode are measures of central tendency that summarize a set of data by providing a single value that represents the middle or typical data value in a dataset.

Mean: The mean is calculated by adding up all the values in a dataset and dividing by the number of values in the set. The mean is sensitive to outliers and skewed distributions.

Median: The median is the middle value in a dataset when the values are arranged in order. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values. The median is not sensitive to outliers and is a good measure of central tendency for skewed distributions.

Mode: The mode is the value that appears most frequently in a dataset. A dataset can have one mode (unimodal), multiple modes (bimodal or multimodal), or no mode (uniform distribution).

b) A good example of a situation in which the median would be the preferred measure of central tendency is income distribution in a country. In this case, the mean might be skewed by a small number of very high-income individuals, while the median would give a better representation of the typical income of the majority of the population.

Measures of central tendency

Measures of central tendency (mean, median, and mode) belong to the field of statistics and mathematics. They are a basic concept in descriptive statistics, which is the branch of statistics that deals with summarizing, organizing, and presenting data.

In general, measures of central tendency are a useful tool for making sense of and communicating data, and they are widely used in many different fields and applications.

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PLEASE HELP ASAP!! Thanks.

For the questions below provide a complete solution with explanation.

1. Eris Orbit. The recently discovered Eris orbits the Sun every 557 years. Use Kepler's 3rd law to find what is its average distance (semi-major axis) from the sun? How does its average distance compare to that of Pluto? (Compare them by either finding their ratio or by calculating the percent difference).

2. If a new dwarf planet is discovered at an orbit with an average distance to the sun of a = 100 AU, what will be its orbital period?

Answers

If Eris Orbit. The recently discovered Eris orbits the Sun every 557 years.

Its average distance (semimajor axis) from the sun is: 67.7 AUDifference between the two dwarf planets is 28.2 AU

What is its average distance (semimajor axis) from the sun?

In order to calculate the semimajor axis of Eris, we need to plug 557 years into the equation
a=P^2/3

a= 557^0.66666667

a = 67.6971 astronomical units.

a = 67.7 AU (Rounded)

Since the average distance for Pluto from the Sun is 39.3 AU

So,

Since the distance of Eris to the sun is 67.7 AU and Pluto to the sun is 39.5

Difference between the two dwarf planets = 67.7AU - 39.5 AU

Difference between the two dwarf planets = 28.2 AU

Based on the above calculation Eris is about 1.5 times farther from the Sun in comparison to Pluto.

Therefore Its average distance (semimajor axis) from the sun is: 67.7 AU and the difference between the two dwarf planets is 28.2 AU

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3 years and 2 months ago, you borrowed $18500. Since then, your debt has grown to $25388.66. What nominal rate, compounded monthly, are you being charged on your loan?

Express your answer as a percentage to two decimal places, but do not include the % symbol in your answer (i.e. enter the numbers only).

Answers

The nominal rate, compounded monthly, charged on the loan is approximately 1.47%.

Explanation:

To find the nominal rate, compounded monthly, we can use the formula for compound interest:

A = P\((1 + r/n)^{(nt)\)

Where:

A is the final amount (25388.66),

P is the principal amount (18500),

r is the nominal interest rate (unknown),

n is the number of times interest is compounded per year (12 for monthly compounding),

t is the time in years (3 years and 2 months, which is 3.167 years approximately).

Substituting the given values into the formula, we get:

25388.66 = 18500\((1 + r/12)^{(12 \times 3.167)\)

To solve for r, we can rearrange the equation and isolate r. However, the calculations involved in solving this equation are complex. Using numerical methods or a financial calculator, we find that the approximate value of r is 0.0147.

To express this rate as a percentage to two decimal places, we multiply it by 100:

0.0147 x 100 = 1.47

Therefore, the nominal rate, compounded monthly, charged on the loan is approximately 1.47%.

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If there are initially 5000 bacteria in a culture, and the number of bacteria triple each hour, the number of bacteria after t hours can be found using the formula y = 5000(3)^t. How long will it take the culture to grow to 80,000? Round to the nearest tenths.

Answers

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%

Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.

Pie chart values20%. Rice15%. OthersPulses. 30%maize 20%wheat 15%Percentage distribution of products

Answers

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

How to calculate the value of pulses exported?

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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A college student is choosing between data plans for her new cell phone. Both plans include an allowance of 2 gigabytes of data per month. The monthly cost of each option can be seen as a function and represented with an equation:

Option A: A(x)=60

Option B: B(x)=10x+25

In each function, the input, x , represents the gigabytes of data used over the monthly allowance.

1. The student decides to find the values of A(1) and B(1) and compare them. What are those values?
A(1)=
B(1)=

2. After looking at some of her past phone bills, she decided to compare A(7.5) to B(7.5) . What are those values?

A(7.5)=
B(7.5)=

3. Describe each data plan in words.

4. Use graphing technology to graph each function on the same coordinate plane. Explain which plan you think she should choose.

The student only budgeted $50 a month for her cell phone. She thought, "I wonder how many gigabytes of data I would have for $50 if I go with Option B?" and wrote B(x)=50 .

B(x)=50, x=



What is the answer to her question?

Answers

1. A(1) = 60 B(1) = 35

2. A(7.5) = 60 B(7.5) = 100

3. Data plan A is constantly 60 which means no added fees (good for long usage)

Data plan B constantly charges 10 with 25 as an entrance fee (good for short usage)

4. See attached files and read the text in parentheses at question 3

50 = 10x + 25 || 25 = 10x || x = 2.5

A college student is choosing between data plans for her new cell phone. Both plans include an allowance

The functions for the total cost per month for data use are linear in each of

the given options.

Correct responses;

1. A(1) = 60,   B(1) = 352. A(7.5) = 60,   B(7.5) = 1003. The monthly charge for Option A fixed. The monthly charge for Option B includes a fixed monthly fee and $10 per gigabyte used.4. Please find attached the combined graph of Option A and Option B. Option B is more affordable when the (extra) data usage is less than 3.5 gigabyte each month.The amount of gigabyte of data the student would have for $50 is 2.5 gigabytes.

Methods by which the above values are derived

The given parameters are;

Both plans data allowance per month = 2 gigabytes

Monthly cost for each option are;

Option A: A(x) = 60 = Constant

Option B: B(x) = 10·x + 25

Solution:

1. The values of A(1) and B(1) are;

A(1) = 60

B(1) = 10 × 1 + 25 = 35

Therefore;

A(1) = $60

B(1) = $35

2. The values of A(7.5), and B(7.5) are;

A(7.5) = 60

B(7.5) = 10 × 7.5 + 25 = 100

A(7.5) = $60

B(7.5) = $100

3. The description of each data plan are;

Option A

The data plan of option A has a fixed charge of $60

Option B

The charges on the data plan on option B consist of a fixed monthly charge of $25, and $10 per gigabyte of data used.

4. Please find attached the graph of the functions of Option A and Option B. From the graph, the most affordable plan to use based on the data usage are;

Option B; If the data used a month, x < 3.5 gigabytesOption A; If the data used a month, x > 3.5 gigabytesEither Option A or Option B if the data usage per month is exactly 3.5 gigabytes

The amount the student budgets per month = $50

By using Option B, we have;

B(x) = 10·x + 25 = 50

10·x = 50 - 25 = 25

\(\displaystyle x = \frac{25}{10} = 2.5\)

At $50, the amount of gigabyte the student can get is x = 2.5 gigabyte

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A college student is choosing between data plans for her new cell phone. Both plans include an allowance

what is the property of 3x(5x7)=(3x5)7

Answers

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

At a fruit stall, 60% of the fruits are durians. 60% of the remaining fruits are mangoes
and the rest are watermelons. There are 112 watermelons. How many durians are there?

Answers

if 60% of fruits are durians then there’s 40% that are not, right?
so if we have 60% of the REMAINING fruits that are mangos then we know that there will be 60% of 40%
of the total number that are mangos. this means that there will be 40% of 40% the total that are NOT mangos or durians.
the rest are watermelons and there are 112 watermelons so 40% of 40% is 16% of the total is 112.
since the durians are 60% of the total then there are 112 x 5 durians = 560

Verify identities Will give BRAINLIST do not give me trash!!


cot^2(x) - csc^2(x) = -1


show steps

Answers

Answer:

See proof below

Step-by-step explanation

cot^2(x) - csc^2(x) = -1

In trigonometry identity

cot^2x = cos²x/sin²x

Csc²x = 1/sin²x

Substitute into the original expression

cos²x/sin²x - 1/sin²x

Find the LCM

(Cos²x-1)/sin²x .... *

Recall that sin²x+cos²x = 1

Sin²x = 1-cos²x

-sin²x = -1+cos²x

-sin²x = cos²x-1 .... **

Substitute ** into *

(Cos²x-1)/sin²x

-sin²x/sin²x

= -1 (RHS)

Therefore cot^2(x) - csc^2(x) = -1 (Proved!)

Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.​

Answers

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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Combine and simplify these radicals.
√8 √20
O 4√10
O 160
O 10√4
O 40

Answers

The simplified form of the addition of all is 8\(\sqrt{10}\) + 220

What is a radical?

A radical is an expression that involves a square root or cube root.

Analysis:

The radicals are \(\sqrt{8}\)\(\sqrt{20}\), 4\(\sqrt{10}\) and 10\(\sqrt{4}\).

The combined form is  \(\sqrt{8}\)\(\sqrt{20}\) + 4\(\sqrt{10}\)  + 10\(\sqrt{4}\).

                                      \(\sqrt{4}\)\(\sqrt{2}\)\(\sqrt{4}\)\(\sqrt{5}\) + 10\(\sqrt{4}\) + 10(2)

                                       4\(\sqrt{10}\) + 4\(\sqrt{10}\) + 20 = 8\(\sqrt{10}\) + 20

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Find the length of the missing side 42ft 56ft

Answers

Answer:

46 feet is the missing side

2 3/4 of 500grams in step by step calculator

Answers

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

John is going to invest $820 and leave it in an account for 19 years. Assuming
the interest is compounded quarterly, what interest rate, to the nearest tenth
of a percent, would be required in order for John to end up with $1,830?

Answers

John would need an interest rate of approximately 7.1% in order to end up with $1,830 after 19 years with quarterly compounding.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

Where:

A = the final amount of money

P = the principal (initial investment)

r = the interest rate (annual)

n = the number of times interest is compounded per year

t = the number of years

We know that;

P = $820, t = 19 years, A = $1,830, and n = 4 (quarterly compounding).

Let's solve for r:

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

1830 = 820(1 + r/4)^(419)

1830/820 = (1 + r/4)^(419)

2.2317073 = (1 + r/4)^76

(1 + r/4) = (2.2317073)^(1/76)

1 + r/4 = 1.0177369

r/4 = 0.0177369

r = 0.0709476

Therefore, the interest rate by the given data will be 7.1%

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Val needs to find the area enclosed by the figure. The figure is made by attaching
semicircles to each side of a 46-m-by-46-m square. Val says the area is 1,206.12
m². Find the area enclosed by the figure. Use 3.14 for 1. What error might Val have
made?

Answers

Answer: See below

Step-by-step explanation:

Radius of the semicircle = 46/2 = 23 m

\(\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$\)

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12


The measure of <1 is greater than 97° and at most 115°. Graph the possible values of x.

The measure of &lt;1 is greater than 97 and at most 115. Graph the possible values of x.

Answers

Answer:

The possible values of x are 10, 11, and 12

Step-by-step explanation:

9(10) + 7 = 97

9(11) + 7 = 106

9(12) + 7 = 115

Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.

Answers

Answer:

The scale of the map is 1 : 34848

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

8 in : 4.4 miles =                                  Divide both sides by 81 in : 0.55 miles

or

1 in : 0.55 * 63360 in =                       Convert 1 mile = 63360 inches1 : 34848

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t)= −4.9t^2+11t+7. How many seconds does it take to reach maximum height? Enter the answer with at least 3 decimal places.

Answers

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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What is the common ratio of the geometric sequence?

Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.

Answers

A geometric series is one in which there is a constant between two successive numbers in the series.

What is geometric progression?

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!​

Answers

Answer: 43.75 miles per day.

Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.

calculate and find the area of the figure below 10m 8m 8m 2m 2m 2m 2m 2m​

Answers

Answer:

can you be more specific?

Step-by-step explanation:

b) The completed construction of a regular hexagon is shown below. Explain why AACF is a 30°-
60°-90° triangle. (10 points)

Answers

ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

b) The completed construction of a regular hexagon is shown below. Explain why AACF is a 30-60-90 triangle.
b) The completed construction of a regular hexagon is shown below. Explain why AACF is a 30-60-90 triangle.
b) The completed construction of a regular hexagon is shown below. Explain why AACF is a 30-60-90 triangle.

1567÷135

plz help 50 points ​

Answers

Answer:

11.60740741

Step-by-step explanation:

Answer:

11.6074074074

Step-by-step explanation:

Match the later drop-down

Match the later drop-down

Answers

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

What is the explanation for the above?

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Match the later drop-down

Write the coordinates of the vertices after a translation 7 units left and 7 units down. S’ = ( , )T’ = ( , )U’ = ( , )V’ = ( , )

Write the coordinates of the vertices after a translation 7 units left and 7 units down. S = ( , )T =

Answers

Answer:

S' = (-4, -10)

T' = (-4, 0)

U' = (3, 0)

V = (3, -10)

Explanation:

Given:

quadrilateral STUV

To find:

The coordinates of the vertex when it is translated 7 units to the left and 7 units down

To determine the new coordinates, we wil be apply int theranslation rlule:

\(\begin{gathered} Translation\text{ to the left: }(x.\text{ y\rparen }\rightarrow\text{ \lparen x-a, y\rparen } \\ Translation\text{ to the right: \lparen x, y\rparen }\rightarrow\text{ \lparen x + a, y\rparen} \\ Translat\imaginaryI on\text{ }to\text{ the top: \lparen x, y\rparen }\rightarrow\text{ \lparen x, y + b\rparen} \\ Translation\text{ to down: \lparen x, y\rparen }\rightarrow\text{ \lparen x, y- b\rparen} \end{gathered}\)

Initial coordinates of the vertx:

S = (3, -3), T = (3, 7), U = (10, 7) and V = (10, -3)

\(\begin{gathered} Applying\text{ the translation rule:} \\ S^{\prime}\text{ = \lparen3 - 7, -3-7\rparen= \lparen-4, -10\rparen} \\ T^{\prime}\text{ = \lparen3-7, 7-7\rparen = \lparen-4, 0\rparen} \\ U^{\prime}\text{ = \lparen10-7, 7-7\rparen = \lparen3, 0\rparen} \\ V^{\prime}\text{ = \lparen10-7, -3-7\rparen= \lparen3, -10\rparen} \end{gathered}\)

S' = (-4, -10)

T' = (-4, 0)

U' = (3, 0)

V = (3, -10)

Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth

Answers

If Boris has finished 43% of his run on the treadmill, it means that 43% of 99 minutes have gone by. To calculate this, we can multiply 99 by 0.43 to find the number of minutes:

99 minutes * 0.43 = 42.57 minutes

Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.

wich expression is equivalent to 0.5 * 0.6?

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

A package of 8 count batteries costs $6.16. A package of 20-count AA BATTERIES COSTS $15.20.

Answers

The unit price of the 20 pack is $0.79 and the unit price for the 8 pack is $0.80.

Simply Take the price of the pack of batteries divided by the number within the pack.
$6.40 / 8 == $0.80
$15.80 / 20 == $0.79
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