Divide 2x^3+4x^2+5 by x-3 using long division.

Using the concept of ratio and proportions, Shanice will need 7 gallon for 14 lawns.

Proportion is a mathematical concept that describes the relationship between two or more related quantities. It is usually expressed as a ratio or a fraction, which indicates how much of one quantity there is compared to the other. Proportions are used in many areas of mathematics and science, including statistics, geometry, and physics.

In this problem, we have to find the ratio or proportion to which she uses fuel per lawn.

2 gallons = 4 lawns

1 gallon = x lawn

x = (4 * 1) / 2

x = 4 / 2

x = 2 lawn

So, she uses 1 gallon on 2 lawns

We can set an equation of proportionality for this or go straight ahead and equate to find the number of gallons required for 14 lawns.

1 gallon = 2 lawn

x gallon = 14 lawn

x = (14 * 1) / 2

x = 7 gallon

She will need 7 gallons to work on 14 lawns.

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Answer:

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day

Answer:

I think it Is C 6..??

Step-by-step explanation:

I could me wrong IM srry also srry for late respond

Answer:

0 ones

7 tenths

6 hundredths

I'm sorry if I misunderstood.

Good luck though! :)

Please add Brainliest if you'd like, not that it matters.

The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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Answer:

Triangle ABD and Triangle CDB. Both are obtuse scalene triangles.

Step-by-step explanation:

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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Answer:

x = 40

Step-by-step explanation:

x + 2x + 6 = 126

3x + 6 = 126

3x = 120

x = 40

Answer:

\(Rate = \$1.76/kg\)

Step-by-step explanation:

Given

\(\frac{1}{16}kg\) of nails costs \(\$ \frac{11}{100}\)

Required

Determine the rate

The rate, in this case, will be calculated as:

\(Rate = \frac{amount}{weight}\)

\(Rate = \frac{\frac{11}{100}}{\frac{1}{16}}\)

This gives

\(Rate = \frac{11}{100}/\frac{1}{16}\)

\(Rate = \frac{11}{100} * 16\)

\(Rate = \frac{176}{100}\)

\(Rate = \$1.76/kg\)

Answer:

Answer:

Step-by-step explanation:

Given

of nails costs

Required

Determine the rate

The rate, in this case, will be calculated as:

This gives

Step-by-step explanation:

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

Step-by-step explanation:

Ft to miles:
5280 ft = 1 mile
16,000 ft = 3.030303 miles
1 mile = 1760 yds
3.030303 miles = 5333.33328 yds
1 yd = 3ft

5333.33328 yds = 15999.99984 ft
You can see that 5333.33328 yds ≈ 16,000 ft

Answer:

Option A is the right answer mate...

To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

Answer:

The slope of a position vs. time graph has a physical significance as it represents the velocity of an object. If the graph is a straight line, then the velocity is constant. If the graph is curved, then the velocity is changing, which means the object is either accelerating or decelerating. The direction of the slope (positive or negative) indicates the direction of the velocity.

The real GDP in 1984 and 2005 were both $5,000.

A. The GDP price index for 1984, using 2005 as the base year, can be calculated as follows:
- First, we need to find the nominal GDP for 1984 and 2005. Nominal GDP is the total output of an economy multiplied by the price of the output.
- In 1984, nominal GDP = 10,000 buckets of chicken x $10 = $100,000
- In 2005, nominal GDP = 25,000 buckets of chicken x $20 = $500,000
- Next, we need to calculate the GDP price index for 1984, using 2005 as the base year. The formula for the GDP price index is: (nominal GDP / real GDP) x 100
- Since we are using 2005 as the base year, the real GDP for 2005 is the same as the nominal GDP for 2005, which is $500,000.
- Therefore, the GDP price index for 1984 = ($100,000 / $500,000) x 100 = 20

B. To find the percentage increase in the price level between 1984 and 2005, we can use the formula: [(GDP price index in 2005 - GDP price index in 1984) / GDP price index in 1984] x 100
- The GDP price index in 2005 is 100, since we are using 2005 as the base year.
- The GDP price index in 1984 is 20, as calculated in part A.
- Therefore, the percentage increase in the price level between 1984 and 2005 = [(100 - 20) / 20] x 100 = 400%

C. To find the real GDP for 1984 and 2005, we can use the formula: real GDP = nominal GDP / GDP price index
- In 1984, nominal GDP = $100,000 and GDP price index = 20, so real GDP = $100,000 / 20 = $5,000
- In 2005, nominal GDP = $500,000 and GDP price index = 100, so real GDP = $500,000 / 100 = $5,000
- Therefore, the real GDP in 1984 and 2005 were both $5,000.

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Answer:

3rd Option

Step-by-step explanation:

Order of Operations: BPEMDAS

When you are multiplying radicals, you multiply the innards while keeping the square root.

Step 1: Write expression

√5(6 - 4√3)

Step 2: Distribute

6(√5) - 4√3(√5)

Step 3: Simplify/Multiply

6√5 - 4√15

Answer:

10,684

Step-by-step explanation:

took the test

Answer:

I think its C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio of the number of votes received by candidate E to the number of votes received by candidate B is unknown.

A ratio is a mathematical expression that compares two or more related values. Ratios are often expressed as fractions, with the first number representing the numerator and the second number representing the denominator. Ratios are used to compare items, measure relationships, and make comparisons between values. Ratios are often used in business and finance to measure things like profits, debt, and liquidity. They can also be used to compare the size of two items or to measure how much of one item is used in relation to another.

There are four candidates in the school district's election (A, B, C, and D), and the table shows the number of votes received by each candidate. To calculate the ratio of the number of votes received by candidate E to the number of votes received by candidate B, we will use the following formula:

Ratio = (Number of votes for E)/(Number of votes for B)

Since we don't know the number of votes for candidate E, the ratio cannot be calculated. Therefore, the ratio of the number of votes received by candidate E to the number of votes received by candidate B is unknown.

Complete questions as follows-
4) the table given bellow shows the number of votes received by the candidantes op school pref2ct in a school candidates A 30 B 80 C 50 D 100​
What is the ratio of number of votes received by E to the number of votes received by B?

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Candidate equation A received 30 votes, Candidate B received 50 votes, Candidate C received 80 votes, and Candidate D received 100 votes.

A assertion that two statements are equivalent is referred to as an equation. An equation is made up of two parts separated by the algebraic symbol (=). As an example, the claim 2x+3x=9 states that

"2x + 3 equals the number "9."

The aim of equation solving is to find the value or numbers of the variable(s) required for the equation to be true. Equations can be simple or complex, regular or nonlinear equation, and have one or more components.

The equation \(x^2+2x-3=0\) increases the variable x to the power of two. Lines are used in many various branches of arithmetic including calculus, algebra, and geometry.

The table you supplied appears to be incorrectly structured; however, based on the information you provided, here is what I believe:

The table shows how many ballots each of the four candidates for school prefect (A, B, C, and D) received.

As a result, Candidate A received 30 votes, Candidate B received 50 votes, Candidate C received 80 votes, and Candidate D got 100 votes.

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The complete question is,

The table given bellow shows the number of votes received by the candidantes op school pref2ct in a school

Candidates    A   B   C    D

No.of votes   30  80  50 100

Calculate the above information and find each candidate receive how many votes.

Answer:

9000

Step-by-step explanation:

Hello! Let's solve the exercise:

First, let's write the data again:

1 1 2 2 2 3 3 3 5 5 6 6 7 10 10 14 15 18

(a)

Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Given:

I deposited 25 dollars into my bank account.

To find:

The integer for the given situation.

Solution:

If any amount deposited into a bank account, then the amount in the bank increased by that amount.

We know that, positive integers represent increase and negative integers represent decrease.

If I deposited 25 dollars into my bank account, then my account balance increased by $25. Here, this situation is represents by the integer positive 25.

Therefore, the required integer for this situation is 25.

The required graph of the function is graph 3.

You must select x-values and insert them into the equation before you can graph a function. A y-value will be produced once those values are entered into the equation. Your coordinates for a single point are your x- and y-values.

To check the graph we will put the values of x and identify the graph from the given option.

So, we have \(p(x) = 6\sqrt[3]{x}\)

at x = 1

\(p(x) = 6\sqrt[3]{1}\)

\(p(x) = 6\)

Now, we can see that i  graph 1, 2 and 4. there is no value which gives p(x) = 6 for x = 1.

and

In graph 3, at x = 1, there is a a of p(x) = 6.

So.the graph of the function is graph 3.

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Answer:

X = 5

Step-by-step explanation:

Angles on a straight line=180°

180-151=29°

sum of angles in a triangle= 180°

11x-1+20-3+29=180

11x+20x-3-1+29=180

31x+25=180

31x=180-25

31x=155

divide both sides by 31

X=5

(11x-1)°= 55-1= 54°

(20x-3)°= 100-3= 97°

54°+97°+29°=180°

Answer:

A

Step-by-step explanation:

the final answer after multiplying them all is 2ax^2, but since its a triangle you multiply that by 1/2 to get ax^2

Answer:

\( \frac{6}{24} \: or \: 0.25 \: or 25\%\)

Step-by-step explanation:

First add them all up to get the total amount of seats.

6+10+8=24

there are 6 seats in the front row. so that means it will be

\( \frac{6}{24} \)

24÷6=0.25

0.25×100=25%

Probability can be answered with a fraction, decimal or a percentage, they are all correct.