Find any solution(s) of 3a+2+4a−1=0.

Answer:

Step-by-step explanation:

The perimeter formula and the given relation between length and width can be used to write and solve an equation for the field dimensions.

Let w represent the width of the field. Then (3w-120) is the length of the field, and its perimeter is ...

  P = 2(L +W)

  1040 = 2((3w-120) +w)

Dividing by 2 and simplifying, we have ...

  520 = 4w -120

  130 = w -30 . . . . . . divide by 4

  160 = w . . . . . . . . . add 30

  3w-120 = 3(160) -120 = 360 . . . the field's length

The dimensions of the field are 160 feet long by 360 feet wide.

The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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An algebraic expression to show representatives r, the students will have in any year is r=(a+b+c+d+e)/50.

An expression is combination of variables, numbers and operators.

Given, that school district can send a representative to the state spelling bee for every 50 students in the school district that year.

There are 5 schools woth a b c d e students respectively.

We need to find the algebraic expression to show how many representatives r, the students will have in any year.

r=(a+b+c+d+e)/50

THe above expression is used to represent the representives.

Hence, (a+b+c+d+e)/50 is an algebraic expression to show representatives r, the students will have in any year

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Answer:

.3

Step-by-step explanation:

.33 is .03 greater than .3

The number which represents the smallest value between 0.3 and 0.33 is the number 0.3.

Given are two decimal numbers.

0.3 and 0.33

It is required to find the number which is the smallest between these two.

The number 0.3 can be written as 0.30.

And the other number is 0.33.

In order to find the smallest number, check the digits from left to right.

The first digit after the decimal point of both numbers is 3.

The second digit after the decimal point is 0 for 0.30 and 3 for 0.33.

Here 0 is smaller than 3.

So, 0.30 is smaller than 0.33.

Hence, the smallest value is 0.3.

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Answer:

x²+8

Step-by-step explanation:

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer: BC AB ,AC

Step-by-step explanation:

i hope this right

Answer:

41^6000

ithink

Step-by-step explanation:

Answer:I got 41 , if it’s wrong I’m so sorry

Step-by-step explanation:

Answer:

The answer can be found below.

↓↓↓↓

Step-by-step explanation:

\(\Large\boxed{\underline{\text{ORDER OF OPERATIONS:}}}\)

If you need to determine the order of operations, use PEMDAS or BODMAS, which stands for:

\(\underline{\text{GIVEN:}}\)

PEMDAS:

BODMAS:

I hope this helps, let me know if you have any questions.

Answer:

Khadija

Step-by-step explanation:

Darius Win % is 15% And Khadija win % is 18% Divide the winnings from the losses

Zero does not have an opposite, because it is in the middle

or I'm thinking in the possibility that it is Infinity

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

a. A statistic is a numerical measure of a sample which is used to describe or infer a population parameter.

b. i. Yes, it is a statistic as it is a numerical measure of a sample.

ii. No, it is not a statistic as it is not a numerical measure of a sample.

c. The null hypothesis can be rejected, and we can support the claim at the 0.01 significance level.

d. The Spearman’s Rank Correlation Coefficient is 0.9, which indicates that the two judges have a high degree of agreement in their rankings.

e. The procedure for carrying out a test of hypothesis involves formulating a null hypothesis and an alternative hypothesis, collecting the sample data and calculating the test statistic, determining the critical value of the test statistic at the specified significance level, comparing the test statistic with the critical value, and making a decision regarding the null hypothesis based on the comparison.

f. The Spearman’s Rank Correlation Coefficient is 0.9, which indicates a strong positive correlation between the two variables. This means that as one variable increases, the other variable also increases.

a. A statistic is a numerical measure of a sample which is used to describe or infer a population parameter.

b. i. Yes, it is a statistic as it is a numerical measure of a sample.

ii. No, it is not a statistic as it is not a numerical measure of a sample.

c. To test this claim, a hypothesis test can be conducted. The null hypothesis is that the mean breaking strength of the cables remains unchanged, while the alternate hypothesis is that the mean breaking strength is increased. The test statistic is calculated as the difference between the sample mean and the population mean divided by the standard deviation. The critical value of the test statistic at the 0.01 significance level is 2.326. Since the test statistic is 5.6 which is greater than the critical value, the null hypothesis can be rejected, and we can support the claim at the 0.01 significance level.

d. The two judges can be compared using the Spearman’s Rank Correlation Coefficient. Spearman’s Rank Correlation Coefficient measures the degree of agreement between two rankings. It is calculated using the following formula:

ρ = 1 - 6Σd2/n(n2-1)

where d is the difference in ranks for each pair of judges. In this case, the Spearman’s Rank Correlation Coefficient is 0.9, which indicates that the two judges have a high degree of agreement in their rankings.

e. The procedure for carrying out a test of hypothesis involves the following steps:

1. Formulate a null hypothesis and an alternative hypothesis.

2. Collect the sample data and calculate the test statistic.

3. Determine the critical value of the test statistic at the specified significance level.

4. Compare the test statistic with the critical value.

5. Make a decision regarding the null hypothesis based on the comparison.

f. To calculate the Spearman’s Rank Correlation Coefficient, first the ranks of each variable must be calculated. The ranks for variable A are 1, 2, 4, 5, 6, 7 and for variable B are 1, 3, 5, 6, 7, 8. The Spearman’s Rank Correlation Coefficient is then calculated using the following formula:

ρ = 1 - 6Σd2/n(n2-1)

where d is the difference in ranks for each pair of judges. In this case, the Spearman’s Rank Correlation Coefficient is 0.9, which indicates a strong positive correlation between the two variables. This means that as one variable increases, the other variable also increases.

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Answer:

4.3362962963

Step-by-step explanation:

A=1/2bh

29.7cm^2=1/2 13.5h

You're gonna multiply each side by 2 to cancel out the fraction equaling,

58.54= 13.5h

You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.

Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18

The first step is to find the slope

m = (y2-y1)/(x2-x1)

m = (22-18)/(9-5)

=4/4

=1

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Using a point (5,18) on the line

18 = 1(5)+b

18-5 = b

13 = y

y = 1x +13

y = x+13

Answer:

2.275

Step-by-step explanation:

4.4-1.175= 2.275

The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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Answer:

15.41

Step-by-step explanation:

Answer:

15.41

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

x+6=2x+5

move the x to the right-hand side, and the 5 to the left-hand side (the sign will also change from a + to a -

6-5=2x-x

therefore, you will get:

x=1

Answer:

Step-by-step explanation:

x + 6 = 2x + 5

6 - 5 = 2x - x

-1 = x

x = 1

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

check

1 + 6 = 2 × 1 + 5 (remember pemdas)

7 = 7

the answer is good

In order to simplify this expression, we need to use the distributive property:

So, expanding the product, we have:

Yes, I guess so.

Hope this helps!

Answer:

yea actually what if she turned?- but yea its 0 so D

Step-by-step explanation:

The area of a rectangle is equal to the product of its sides.

If the sides are 4 1/2 feet and 2 3/4 feet, we can transform this mixed numbers into decimals and calculate the product as:

Answer: the area of the table is 12.375 square feet.

Let us begin by plotting the graph of y = |x|

Comparing the graph above and the given graph, we can notice the following translations:

1. A translation 3 units to the left

2. A translation 2 units downward

Putting this together to form the transformed function, we have:

Answer:

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:

20 gallons

Step-by-step explanation:

10 gallons of solution w/ 15% juice means 1.5 gal of juice

to make it into 5%, multiply 1.5 by 20

1.5 x 20 = 30

5% of 30 gallons is 1.5 since 10% of 30 is 3.

Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.

I hope this helps thanks

Answer:

What is the amount of juice in the original solution? a =

✔ 1.5

What is the original amount of solution in gallons? b =

✔ 10

How much juice is added? c =

✔ 0

How much total solution is added? d =

✔ x

Step-by-step explanation:

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Answer:

x = 25

Step-by-step explanation:

.20x + .68(120 - x) = .54(120) (Distribute .68 to 120 and -x)

.20x + 81.6 - .68x = .54(120) (multiply .54 and 120)

.20x + 81.6 - .68x = 69.6 ( add .20x and -.68x)

-.48x + 81.6 = 69.6 ( subtract 81.6 on each side)

-.48x = -12 (divide -12 by -.48)

x = 25