Select all the equations that have g = 6
the solution.
Og+2=10
0g-1=10
09-2=4
58+ g = 60
44 - g = 38

The depth of the given rectangular lot is 60 yards.

Here, we are given that the area of a rectangular lot is 1,200 square yards.

Further the width of the lot is 60 feet

As the area and the width are given in different units, we first need to convert them into the same units.

Now, 1 foot = 0.33 yards

⇒ 60 feet = 0.33*60 yards

= 20 yards

Further, we know that the area of a rectangle is given by the formula-

area = length × breadth

Thus,

1,200 = 20 × breadth

1,200/20 = breadth

breadth = 60 yards

Thus, we find that the depth of the given rectangular lot is 60 yards.

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the regression line indicates whether the slope of the regression line is positive or negative is a proportion will be between 0 to 1

Regression is a statistical method that links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether variations in the dependent variable are related to variations in one or more of the explanatory variables.

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The value of the mentioned expression is -43.24.

To solve the expression, firstly rewriting the equation followed by keeping the values of x, y and z at their respective places.

Equation = (4x³ - 10)/(3y² + 5) - (4x³ (z² - 8))/(y³ + 5)

Now keeping the values of each variable in the equation

Equation = (4×2³ - 10)/(3×(-5)²) - (4×2³ ((-7)² - 8))/((-5)³ + 5)

Taking cube and square on Right Hand Side of the equation

Equation = (4×8 - 10/(3×15)) - (4×8 (49 - 8))/(25 + 5)

Solving the bracket first where we will perform multiplication on the Right Hand Side

Equation = (32 - 10/45) - ((32 × 41)/30)

Equation = 22/45 - 1312/30

Now performing division on Right Hand Side of the equation

Equation = 0.49 - 43.73

Performing subtraction on Right Hand Side of the equation

Equation = -43.24

Hence, the value is -43.24.

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70% of students had scores that were within (±) one standard deviation of the mean.

For the stated question-

Total number of students = 20

Scores received; 70, 60, 75, 68, 85, 86, 78, 72, 82, 88, 88, 73, 74, 79, 86, 82, 90, 92, 93, 73.

Mean = Sum of all/ Total number

Mean x = 79.7

standard deviation = 8.7

Thus, (±) one standard deviation SD of the mean becomes;

-1 SD; 79.7 - 8.7 ≈ 70.994

+1 SD; 79.7 + 8.7 ≈ 88.406

Thus, 71 to 88

Percentage = scores between  71 to 88/ total scores

Percentage = 14/20 x 100 %

Percentage = 70%

Thus, 70% of students had scores that were within (±) one standard deviation of the mean.

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The difference between the value of two signed numbers and the absolute value is that

Positive and negative numbers are referred to as signed numbers. The number is automatically regarded as positive if no sign is present.

On a number line, positive numbers are those to the right of zero. Negative numbers are those to the left of 0

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

A number can never have a negative absolute value.

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Answers to both the subparts are as follows:

(A) In order to factor A(t), we obtain A(t) = -cost + 1.

(B) t = 1.57 after solving the equation A(t) = 0 for 0 ≤ t ≤ 2.

Two expressions are combined by the equal sign to form a mathematical statement known as an equation.

For instance, a formula might be 3x - 5 = 16.

After solving this equation, we learn that the value of the variable x is 7.

(A) Factorize A(t):

A(t) = 2cost - 3cost + 1

After assembling the cost terms, we have:

A(t) = cost(2 - 3) + 1

A(t) = cost(- 1) + 1

A(t) = -cost + 1

In order to factor A(t), we obtain A(t) = -cost + 1.

(B) Solving equation A(t) = 0 for 0 ≤t≤ 2:

Since A(t) = -cost + 1

When we solve A(t) = 0 for 0 ≤ t ≤ 2, we get:

A(t) = 0

-cost + 1 = 0

-cost = -1

cost = 1

If we take the inverse cosine, we get:

t = cos⁻¹(1)

t = π/2

t = 3.142/2

t = 1.571

t ≅ 1.57

t = 1.57 after solving A(t) = 0 for 0 t 2

Therefore, answers to both the subparts are as follows:

(A) In order to factor A(t), we obtain A(t) = -cost + 1.

(B)  t = 1.57 after solving the equation A(t) = 0 for 0 ≤ t ≤ 2.

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Complete question:
Let A (t) = 2 cost-3 cost+1, 0 ≤t ≤ 2

A. Factorize A(t).

B. Hence, solve the equation A(t) = 0 for 0 ≤t≤ 2.

A sample observation results in a point estimate of 0.53 for the mean value of paint thickness.

The mean value theorem states that there is one point on a curve where the tangent is parallel to the secant running through the two points.

A low-viscosity paint sample with the following thickness is provided to us.

0.810.870.901.051.111.141.301.301.481.481.591.601.661.691.781.84

a) Point estimate of the mean value of coating thickness.

To estimate the mean coating thickness, we use the mean value of the sample.

mean= sum of all observations/total number of observations

mean=8.16/16

mean=0.53

Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.810.870.901.051.111.141.301.30 1.481.481.591.601.661.691.781.84 Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)

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Website B is cheaper then website A.

What are headphones?

A user wears headphones, which are a pair of small loudspeaker drivers, on or near their head over their ears.

They function as electroacoustic transducers, converting an electrical signal into an associated sound.

People can listen to music and carry on conversations at any time and from any location thanks to headphones. It is impossible to overstate how simple it is to use headphones and how much mobility they provide.

There are two types of headphones, website A and website B.

First to find the cost for website A.

Cost of website A = Cost of headphone + cost of postage

                              = 47.68 + 16.96

Cost of website A = 64.63

Cost of website B = Cost of headphone + cost of postage

                              = 49.95 + 14.39

Cost of website B = 64.34

The cost of website B is less than the cost of website A.

Hence, website B is cheaper then website A.

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Answer:

Step-by-step explanation:

=w + 2 + 2w + 6

= 3w + 8

3w = -8

w =-8/3

The conclusion does not change if the significance level went from 7% to 5%.

According to the given situation, 79% of the fruits sold are good and whether there is an increase in the percentage of good fruit is to be tested. If there is no increase in percentage of good fruit, p = 0.79 and if there is an increase in percentage of good fruit, p > 0.79.

The test statistic is given by z = (X - µ)/(σ/√n)

In the given data, µ = 0.79 and σ = √(0.79(1-0.79) = 0.407

In a random sample n = 475 and 85 are bad.

Good fruits = 475 – 85 = 390

X = 390/475 = 0.8211

Hence,

z = (0.8211 – 0.79)/(0.407/√475) = 1.66

From the z-table, p value is 0.9515.

The p value of the test that no increase in percentage of good fruits = 1 – 0.9515 = 0.0485

If the p-value is less than 0.05 it is statistically significant. As 0.0486 is less than 0.05 and 0.07 there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit. It is true for each significance level. Hence, the change in significance levels does not change the conclusion.

Note: The question is incomplete. The complete question probably is: In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample of 475 pieces, 85 were bad. How would the conclusion change if the significance level went from 7% to 5%?

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Answer:

w=7/2=3.5

Step-by-step explanation:

width =w

length = l = 2w+2

25=2(l+w)= 2(2w+2+w) =2(3w+2)=6w+4

25=6w+4

6w=21

w= 21/6 = 7/2

Answer: 11 miles each day for the remaining 5 days

Step-by-step explanation:

First, you subtract the miles already done (25) from the total (80) to get 55 (miles left to do) then next divide 55 by 5 (days left), and then your left with 11. Finally, check the work and see how 11x5=55 then 55+25=80.

That's how to get the answer :)

Answer:

A. Symmetric Property

Step-by-step explanation:

The Symmetric Propertry states that if x = y, then y = x.

Since XY = WX, and WX = XY, its the Symmetric Property.

Step-by-step explanation:

|x+1|=2-5

|x+1|= -3

statement doesn't have solution

Via Gelato total revenue for the month of June as the the details of expenses is equal to $7870.

As given in the question,

Total revenue is:

= (6200 × 13) - 72,540

=$ 8060

Details of all expenses are as follow:

Expense on raw material:

= (6200 × 4.75) -30,330

= -$880

Wages :

= (6200 ×1. 50) + 5,700 - 14,560

= $440

Utilities:

= (6200 × 0.30) +1730 - 3,800

= -$210

Rent:

= (2700-2700)

= 0

Insurance :

= (1450-1450)

= 0

Miscellaneous :

= (6200 × 0.45) + 660 -2,990

= $460

Total expense

=-$190

Net operating income :

=$ [8060-190]

=$7870

Therefore, Via Gelato's  total revenue of the June month is equal to $7870.

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The function y = 2x² - 5 is a nonlinear equation and the table of values is

x    0     1    2    3

y    -5    -3   5    13

From the question, we have the following equation that can be used in our computation:

y = 2x² - 5

As a general rule, a linear equation can take any of the following forms

By comparing y = 2x² - 5 to the above forms, we can see that the equation does not take any of the forms represented above

This means that the function is not a linear function

i.e. The function is a nonlinear function

Also, we set x = 0, 1, 2 and 3

So, we have

y = 2(0)² - 5= -5

y = 2(1)² - 5= -3

y = 2(2)² - 5= 5

y = 2(3)² - 5 = 13

So, the table of values is

x    0     1    2    3

y    -5    -3   5    13

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Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

115 ≥ 25p + 15

115 ≥ 25p + 15

subtract 15 from both sides:

115 - 15 ≥ 25p + 15 - 15

100 ≥ 25p

divide both sides by 25:

100/25 ≥ 25p/25

4 ≥ p

4 people

The number of people who can go to the amusement park is 4.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number lineby their size.

Given that, the money to be spend, is no more than $115 to spend on parking and admission.

Parking is $15, and tickets cost $25 per person, including tax.

we need to determine the maximum number of people that can go to the park,

115 ≥ 25p + 15

115 ≥ 25p + 15

subtract 15 from both sides:

115 - 15 ≥ 25p + 15 - 15

100 ≥ 25p

divide both sides by 25:

100/25 ≥ 25p/25

4 ≥ p

Hence, the number of people who can go to the amusement park is 4.

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The value of sides of the right triangle are a = 3 units, b = 12.47 units and c = 11.21 units.

For the given question-

The length of the side are-

a = 3 units

Angle B = 64°.

Then,

Applying trigonometric properties-

Tan B = b/a

b = a tan B

b = 3 tan 64°

b = 12.47 units

Now,

Sin B = b/c

c = b sin B

c = 12.47 sin 64°

c = 11.21 units.

Thus, the value of sides of the right triangle are a = 3 units, b = 12.47 units and c = 11.21 units.

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The chart can be completed by substituting the value of x and y in the given equation in two variable y = 1/2 x

What are Linear Equations in Two Variables?

The linear equations in two variables are the equations in which each of the two variables are of the highest exponent order of 1 and have one, none, or infinitely many solutions. The standard form of a two-variable linear equation is ax + by + c = 0 where x and y are the two variables.

According to the given question:

(Check the attachment below for complete question)

The given function is y = x/2

Let x be the minutes taken by the student and y be the pages read by him.

The chart can be completed by substituting the value of x that is minutes taken in the given equation to find the value of y. (Check attachment below)

If the teacher recommended that student must be read 20 min each night then the page read by the student is y = 20/2 = 10 pages.

If he reads 18 pages then time taken by him is x = 2×18 = 36 min.

If there are 245 pages then the time taken by the student is  

x= 2×245 = 490 min        

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The distance covered by the car with 12 gallons of gasoline is 200 miles.

Given,

Distance travelled by a car with full  tank gasoline = 300 miles

The capacity of the car's tank = 18 gallons

We have to find the distance covered by the car with 12 gallons of gasoline;

Here,

x be the distance covered by the car with 12 gallons of gasoline

Then,

300/18 = x/12

x = (300 x 12) / 18

x = (300 x 2) / 3

x = 100 x 2

x = 200 miles

That is,

The car will cover 200 miles with 12 gallons of gasoline.

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Step-by-step explanation:

let's use the formula .......

[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} \sqrt{36 \times 3 - 4(1)( - 9)} }{2(1)} [/tex]

[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} \sqrt{108 \: + 36} }{2} [/tex]

[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} \sqrt{144} }{2} [/tex]

[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} 12 }{2} [/tex]

[tex]x \: = \: \frac{ - 6 \sqrt{3} - 12 }{2} [/tex]

Answer:

x ≤ -5

Step-by-step explanation:

Treat this EXACTLY like you would an equation:

-3(x+4) ≥ x+8

-3x - 12 ≥ x + 8

-4x - 12 ≥ 8

-4x ≥ 20

Except here (when dividing BOTH sides by a negative):

-4x ≥ 20  ⇒  x ≤ -5

Answer:

  B/A = 1/2

Step-by-step explanation:

You want the scale factor between the two figures shown.

The scale factor is the ratio of the length in one figure to the corresponding length in the other figure. Often, we're interested in the scale factor B/A, which is what A dimensions need to be multiplied by in order to match the B dimensions.

You can pick any corresponding dimensions. Often, it is convenient to choose a short one, so you don't have to count so many grid squares.

We can choose the line from the center, where the lines cross, up and to the right to the upper right corner. In the A figure, that line goes 2 squares to the right and 2 squares up. In the B figure, that line goes 1 square right and 1 square up. Then the scale factor is ...

  (B dimension)/(A dimension) = 1/2

We can choose to look at the lengths of that line (A: 2√2; B: √2), or the x-dimension (A: 2; B: 1) or the y-dimension (A: 2; B: 1). All the measurements are proportional, so we get the same ratio for any pair of corresponding measures.

The scale factor B/A is 1/2.

__

Additional comment

The horizontal magenta lines in the attached figure are another possibility for determining the scale factor. B/A = 2/4 = 1/2.

You need to be careful to understand what scale factor you want. Sometimes it is described as "A to B", which can be ambiguous.

Here, the ratio of an A dimension to a B dimension is A : B = 2 : 1. The same wording can be interpreted to mean "the scale factor that multiplies A to transform it to B." That is the scale factor we have shown.

The statement that is true about the triangle ABC with vertices A(-6, 6), B(4, 2), and C(-4, 0) is C. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.

Right triangles are triangles with have perpendicular relationships

The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals then they are perpendicular and the triangle is a right triangle'

the points A(-6, 6), B(4, 2), and C(-4, 0)

Using point A(-6, 6) and B(4, 2)

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 6) / (2 - -6)

m = -1/2

Using point B(4, 2), and C(-4, 0)

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - -4) / (2 - 0)

m = 2

Comparing the slopes shows that slopes calculated are negative reciprocals

Therefore the triangle is a right triangle

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Answer:

Step-by-step explanation:

Base angles are congruent.

[tex]\tt y=128^o[/tex]

Let's solve for x first:-

[tex]\tt x+y=180^o[/tex]

[tex]\tt x=180-y[/tex]

[tex]\tt x=180-128[/tex]

[tex]\tt x=52^o[/tex]

Therefore, x = 52° and y = 128°

_________________

Hope this helps you!

Have a nice day! :)

The equation v in terms of other variables is v = kr/2h

It is a variable which is expressed in terms of other variables involved in the formula.

Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.

2(vh) / k = r

by cross multiplication

2(vh) = kr

divide both sides by 2h

v = kr/2h

In conclusion, v in terms of other variables is  kr/2h

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The three numbers that are in the ratio 7:3:2 are 70, 30, and 20.

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

So, let 7x, 3x, and 2x be the three numbers.

7x+2x = 9x is the product of the lowest and greatest number.

In accordance with:

9x-30=2(3x)

To make the equation easier:

9x-30=6x

30 extra on both sides:

9x=6x+30 or,9x-6x=30

3x=30, x=10,

So, the numbers will be:

7x=7(10) = 70

3x=3(10) = 30

2x=2(10) = 20

Therefore, the three numbers that are in the ratio 7:3:2 are 70, 30, and 20.

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Answer:

f(7)= 42

Step-by-step explanation:

we fill in 7 where x is

f(7)=5(7)+7

f(7)=35+7

f(7)=42

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