Lines m and n are parallel. What is

Answer:

Area = πr^2

= 22/7 x 22.4/2 ^2

calculate to get area

Answer:

area =394.081 cm^2

Step-by-step explanation:

please mark me as brainlest

Answer:

See solutions below

Step-by-step explanation:

1) Total amount of gallons = 14 gallons

If she uses up 0.75 gallons of gas each hour then;

1 hour = 0.75gallons

after driving 6 hours, amount of gallons used will be;

6 hours = x

Divide both expressions

1/6 = 0.75/x

x = 6 * 0.75

x = 4.5gallons

Amount of gas left = 14 - 4.5 = 9.5 gallons of gas

Hence 9.5 gallons of gas will be left after 6 hrs

Similarly;

1 hour = 0.75gallons

after driving t hours, amount of gallons used will be;

t hours = x

x = 0.75t

Amount of gas left after t hours = (14 - 0.75t) gallons of gas

2) We are to find the sum of -8x^2+3 and -9x^2+3x-3

-8x^2+3 + (-9x^2+3x-3)

= 8x^2+3 -9x^2+3x-3

Collect like terms

=  8x^2 -9x^2+3x + 3-3

= -x^2 + 3x

Hence the sum is -x²+3x

3) Expressing in standard form;

(-3x-5)(-x^2+x-5)

Expand

= 3x³-3x²+15x+5x²-5x+25

Collect like terms

= 3x³-3x²+5x²+15x-5x+25

= 3x³+2x² + 10x + 25

Hence the product in polynomial form is 3x³+2x² + 10x + 25

Answer:

$16,050.00

Step-by-step explanation:

10[(40 x 30) + (9 x 45)]  

In one week, he works 40 hours (8 x 5) for $30 and 9 hours of overtime each week (one extra hour 5 days during a week week plus 4 hours on Sat.)

10(1200 +405)

10(1605)

$16,050.00

To calculate the carpenter's earnings, separate the regular work hours from the overtime hours. Compute earnings for both from their respective rates and add them together. Multiply by the number of days worked and finally, by the total number of weeks.

In order to calculate the earnings of a carpenter during a 10-week period, we must consider how many hours were worked at regular and overtime rates. During the weekdays, the carpenter worked 9 hours per day. The first 8 hours were paid at the regular rate, and the remaining 1 hour was considered overtime. On Saturdays, the carpenter worked 4 hours at the regular rate as it didn't supersede the 8-hour workday.

So, on weekdays, he earned: 8 hours * $30 + 1 hour * $45. On Saturdays, his earnings were 4 hours * $30. To find the weekly earnings we add weekday and Saturday earnings, then multiply by 5 (for weekdays) and add 1 Saturday, then multiply the total earnings by 10 weeks. Using these computations, we are able to find the total amount earned by the carpenter.

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Answer:

x1=3     x2=-4

Step-by-step explanation

The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.

It is given that:

\(\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right]\)

\(\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right]\)

On comparing:

3x₁ + 2x₂ = 2

5x₁ + 5x₂ = -3

The above two equations represent linear equations in two variables:

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

After solving with substituion method:

x₁ = 3.2

x₂ = -3.8

Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.

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Answer:

63+23+30+37+44+51+58+65+72+79+86+93+100+107+114.

Step-by-step explanation:

1. according to the condition 63+23; 63+23+30; 63+23+30+37+...; is an arithmetic sequence (note, 63 does not belong to it);

2. according to the condition the 1st term is 63+23; the 2d term is 63+23+30; the 3d term is 63+23+30+37, etc. It means, the next term is calculated with '+7';

3. according to the item '1.' the number '63' was excluded from the initial pattern. It means, the 14th term should be calculated: 23+7*(14-1)=114.

4. if number '63' is included into the given pattern again, the 15th term of the given pattern is 63+0+23+30+...+98.

5. the 15th term is:

63+23+30+37+44+51+58+65+72+79+86+93+100+107+114.

Answer:

4 months

Step-by-step explanation:

Club A

registration fee: $0

monthly fee: $105

After every month, the total cost increases by $105.

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

Club B

registration fee: $375

monthly fee: $80

Notice how Club B's total reaches Club A's total after 2 months.

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695

Answer:

5(9x+23)

Step-by-step explanation:

45x+115

5(9x+23)

Answer: 8

Step-by-step explanation: x2 + 4 is 4 x 2

:D

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

2.6

Step-by-step explanation:

Divide the numbers, then subtract them

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer: true

if its wrong then im sorry for it but i have a felling its true

The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,

m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

Two lines AC and DF are parallel to each other  in the attached figure

Transversal HJ cut  lines AC and DF at point B and E respectively.

Measure of ∠ABE = 63°.

Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,

Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)

⇒Measure of ∠DEH = 63°

Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)

⇒Measure of ∠BEF = 63°

Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)

⇒Measure of ∠CBJ = 63°

Using the result of linear pair angles,

Measure of ∠ABE + Measure of ∠CBE = 180°

⇒ Measure of ∠CBE = 180° -63°

⇒  Measure of ∠CBE = 117°

Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)

⇒Measure of ∠FEH = 117°

Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)

⇒Measure of ∠BED = 117°

Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)

⇒Measure of ∠ABJ = 117°

Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

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The above question is incomplete, the complete question is:

Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.

In the attached figure.

Answer:

(A) a triangle with a base of 6m and height of 4m:

Area = 1/2 x base x height = 1/2 x 6m x 4m = 12m^2

(B) a parallelogram with a base of 48m and a height of 0.5m:

Area = base x height = 48m x 0.5m = 24m^2

(C) a trapezoid with bases 9m and 3m and height of 4m:

Area = 1/2 x (base1 + base2) x height = 1/2 x (9m + 3m) x 4m = 24m^2

(D) a triangle with a base of 8m and a height of 3m:

Area = 1/2 x base x height = 1/2 x 8m x 3m = 12m^2

So the shapes that have an area of 24 m^2 are A (triangle) and C (trapezoid).

I Hope This Helps!

Answer:

if you're looking for a slope intercept form equation, the answer would be y=-2x+(-8)!

Step-by-step explanation:

Slope intercept formula is y=mx+b, m being the slope and b being the y intercept of the provided points.  So, it's just a matter of replacing each of the letter with their proper counterparts!!

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

First, write the coefficients of the polynomial in order of decreasing degree and include a placeholder for missing terms:

2 -8 -27 14 24

6

Bring down the leading coefficient:

2 -8 -27 14 24

6

2

Multiply the divisor by the result of the previous step and subtract from the corresponding coefficients:

2 -8 -27 14 24

6

2 -12

48

2 -12 21

-42

2 -12 21 -28

168

2 -12 21 -28 192

The result of the division is 2x³ - 12x² + 21x - 28 with a remainder of 192.

The angle A for the given triangle will be 65°.

What is a triangle's definition?

In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.

Scalene Triangle - The length of each side varies.

Isosceles Triangle - A triangle having two equal-length sides and one that is not.

Equilateral Triangle - A triangle with three sides of equal length.

Now,

let the right angle is at B

then AC=hypotenuse and AB=Base

then cos A=B/H=8/19

cosA=0.4210

∠A=65°

hence,

          The angle A for the given triangle will be 65°.

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Answer:

B

Step-by-step explanation:

because you are looking for the car that cost the most

Answer:

10000.

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hope its useful

The required residual for Dianna's iguana is $0.05.

To find the residual for Dianna's iguana, we need to first calculate the predicted value of weekly food cost for the iguana using the given regression equation:

\($\hat{y} = 0.4 + 0.15x$\)

where x is the weight of the iguana in pounds.

Substituting x = 11 into the equation, we get:

\($\hat{y} = 0.4 + 0.15(11) = 2.05$\)

So the predicted weekly feed cost for Dianna's iguana is $2.05.

To find the residual, we subtract the predicted value from the actual value:

\($residual = actual\ value - predicted\ value = 2.10 - 2.05 = 0.05$\)

Therefore, the residual for Dianna's iguana is $0.05.

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If the test statistic is higher than 1.645, reject H0. If the test statistic is higher than 2.33, reject H0.

Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis.

The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population.

The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.

"The null hypothesis is the proposition under investigation in a statistical significance test.

The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.

H0 is a common way to represent it.

Hence, If the test statistic is higher than 1.645, reject H0. If the test statistic is higher than 2.33, reject H0.

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Answer:

Kageyama x Milk

Step-by-step explanation:

djkdkdkdksksk y u h

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

Answer: I think the answer is thousands

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

first # = 70, 2 digits

second # = 1,000 times greater than 70  1,000 = 4 digits

4 + 2 = 6, 100,000 = 6 digits

Answer:

8 classmates

Step-by-step explanation:

\(9/1\frac{1}{8}=\\9/\frac{9}{8}=\\9*\frac{8}{9}=\\\frac{72}{9}=\\8\)

Given:

Sandra's scores on the first four tests:

To have a mean score of at least 85 means that Sandra must have an average score of at least 85 on here 5 tests.

To get that, we will be using the following equation:

Total number of subjects: 5

Our target mean (average) score: 85

Let,

x = the missing score needed to get a mean score of at least 85.

We get,

Therefore, for Sanda to get a mean test score of at least 85, she must get a minimum score of 81 on her fifth test.

The answer is 81.

Answer:

Twenty-two months (a year and ten months)

Step-by-step explanation:

First, we have to find how much is 5% of 500

500 x 0.05 = 25

Next, you add it to 500

so after the first month, you will have $525

Then, we have to find 5% of 525

525 x 0.05 = 26.25

meaning that after the second month, you'll have $551.25

We keep on repeating these steps until we reach the desired amount.

month three:

$551.25 x 0.05 = 27.5625      

551. 25 +  27.5625 = 578.8125

month four:

578.8125 x 0.05 = 28.940625

578.8125 + 28.940625 = 607.753125

month five:

607.753125 x 0.05 = 30.38765625

607.753125 + 30.38765625 = 638.14

month six:

638.14 x 0.05 = 31.91

638.14 + 31.91 = 670.05

month seven:

670.05 x 0.05 = 33.51

670.05 + 33.51 = 703.55

month eight:

703.55 x 0.05 = 35.18

703.55 + 35.18 = 738.73

month nine:

738.73 x 0.05 = 36.94

738.73 + 36.94 = 775.67

month ten:

775.67 x 0.05 = 38.78

775.67 + 38.78 = 814.45

month eleven:

814.45 x 0.05 = 40.72

814.45 + 40.72 = 855.17

month twelve:

855.17 x 0.05 = 42.76

855.17 + 42.76 = 897.93

month thirteen:

897.93 x 0.05 = 44.90

897.93 + 44.90 = 942.83

month fourteen:

942.83 x 0.05 = 47.14

942.83 + 47.14 = 989.97

month fifteen:

989.97 x 0.05 = 49.50

989.97 + 49.50 = 1039.47

month sixteen:

1039.47 x 0.05 = 51.97

1039.47 + 51.97 = 1091.44

month seventeen:

1091.44 x 0.05 = 54.57

1091.44 + 54.57 = 1146.01

month eighteen:

1146.01 x 0.05 = 57.30

1146.01 + 57.30 = 1203.31

month nineteen:

1203.31 x 0.05 = 60.17

1203.31 + 60.17 = 1263.48

month twenty:

1263.48 x 0.05 = 63.17

1263.48 + 63.17 = 1326.65

month twenty-one:

1326.65 x 0.05 = 66.33

1326.65 + 66.33 = 1392.98

month twenty-two:

1392.98 x 0.05 = 69.65

1392.98 + 69.65 = 1462.63

month twenty-three:

1462.63 x 0.05 = 73.13

1462.63 + 73.13 = 1535.76

So your final answer would be that it would take twenty-two months (a year and ten months) to have enough money to buy the computer.

p.s. sorry for the super long answer, I wanted to make sure you had the complete process. hope this helped!