7. Find the area of the circle below. Use 3.14 for Pi. Round to the nearest
tenth.

Answer:Option B , C  and E are correct

Step-by-step explanation:

y^2-5y=750

750-y(y-5)=0

(y+25)(y-30)=0

Answer:

  (a) ∠e +∠d = 180°  is false

Step-by-step explanation:

You want to know which angle expression is not true.

We can figure the measures of all of the unknown angles, then check the given expressions.

Angles 'a' and 130° are corresponding angles, so congruent:

  a = 130°

Angles 'a' and 'e' are vertical angles, so congruent:

  e = a = 130°

Angle 'd' and 62° are vertical angles, so congruent:

  d = 62°

Angles 'b' and 'd' are corresponding angles, so congruent:

  b = d = 62°

Angles 'f' and 62° are corresponding angles, so congruent:

  f = 62°

Angles 'c' and 130° are a linear pair, so supplementary:

  c + 130° = 180°

  c = 50° . . . . . . subtract 130°

(a) ∠e +∠d = 180°   ⇒   130° +62° = 180° . . . . false

(b) ∠d +∠b = 124°   ⇒   62° +62° = 124° . . . . true

(c) ∠a +∠c = 180°   ⇒   130° +50° = 180° . . . . true

(d) ∠ 180° -∠f = 118°   ⇒   180° -62° = 118° . . . . true

The equation of the parallel line will be y = (2/3)x - 8/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y - 4 = 2/3 (x - 3)

The equation of the line that is parallel to the given line will be written as,

y = (2/3)x + c

The equation of the line that passes through (1, -2), then we have

- 2= (2/3)(1) + c

- 2 = 2 /3 + c

c = - 8 / 3

Then the equation of the parallel line will be y = (2/3)x - 8/3.

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Answer:

ratio: 104:1875

Step-by-step explanation:

toy jeep = 12.5 inches

12.5 inches = 1.04 feet

real jeep = 18.75 feet

1.04 / 18.75 = 0.055

104:1875

How to find the ratio:

1) Convert any mixed numbers to fractions.

12 1/2 = 25/2

18 3/4 = 75/4

We now have:

12 1/2 : 18 3/4 = 25/2 : 75/4

2) Convert fractions to whole numbers by eliminating the denominator.

LCD (least common denominator)(25/2, 75/4) = 4

We now have:

12 1/2 : 18 3/4 = 50/4 : 75/4

Now that the fractions have similar denominators, we can multiply both by 4 to eliminate the denominators.

Now we have 12 1/2 : 18 3/4 = 50 : 75

3) We can now reduce the ratio further with the greatest common factor (GCF).

The GCF of 50 and 75 is 25

Divide both terms by the GCF, 25:

50 ÷ 25 = 2

75 ÷ 25 = 3

50 : 75 = 2 : 3

Therefore:

12 1/2 : 18 3/4 = 2 : 3

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

The statements that are true about the scatter plot graph are;
1. The line of best fit should have the same number of points above and below it.

2. There is a moderate positive correlation.

3. The line of best fit will have a positive slope.

Some facts about scatter plot graphs:

Scatter plots are used to show the correlation or relationship between two variables. The variables are plotted on the x and y-axes, and each point represents a pair of values for the two variables.

Scatter plots can show different types of relationships between two variables, including positive, negative, or no correlation.

The shape of a scatter plot can provide insights into the strength and direction of the relationship between the two variables. For example, if the points on the scatter plot form a linear pattern, this indicates a strong correlation.

Scatter plots can be used to identify outliers or anomalies in the data that do not fit the general pattern of the relationship between the two variables.

The above answer is based on the following options provided in the picture.

Tick all the statements that applies

The y intercept of the line  of best fit would be around 45

The line of best fit should have the same number of points above and below it

The slope of the line of best fit could be around -1/20000

The line of best fit must pass through at lest 2 points on the scattered plot

There is no correlation between happiness and income

There is a moderate positive correlation

The line of best fit will have a positive slope

As a person's income goes up, their happiness trends down

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Answer: 27

Step-by-step explanation:

-21 to 6= 27

The difference between the numbers -21 and 6 is 27.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the two numbers are -21 and 6. The distance between the two numbers will be calculated as,

Distance = 6 - ( -21 )

Distance = 6 + 21

Distance = 27

Hence, the difference is 27.

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(a) The probability that a visitor will be flagged (i.e., fail at least one test) is 0.957 if they are genuinely a robot.

(b) If a visitor is genuinely a human, there is a 0.0068 probability that they will be marked (fail at least one test).

(c) Consider a visitor who is detected in (c). There is a 0.9 percent probability that the visitor is a robot.

This is due to the difference between the likelihood of a robot being flagged (0.957) and the likelihood of a human being flagged (0.0068). Therefore, the likelihood that a visitor who has been marked is a robot is 0.957 / (0.957 + 0.0068) = 0.9.

Probability is a measure of the possibility of an event occurring in probability theory. A number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty, is used to express it. An occurrence is more likely to occur the higher its probability. When there is uncertainty about the result of random phenomena like coin tosses or dice rolls, probability is utilized to characterize those events. It is also used to describe more foreseeably occurring occurrences like the occurrence of an earthquake or the adoption of a particular law.

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Answer:

C

Step-by-step explanation:

By answering the presented question, we may conclude that As a result, the slope of \(y_3\) = -4(x - 5) is -4.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x).

The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b.

The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

The above equation is in point-slope form: y - \(y_1\)= m(x - \(x_1\)), where (\(x_1\), \(y_1\)) is a point on the line and m is the slope.

We can see by comparing the provided equation to the point-slope form that \(x_{1} ,y_1\)) = (5, 3) and m = -4.

As a result, the slope of \(y_3\) = -4(x - 5) is -4.

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Answer:

2.80

Step-by-step explanation:

Take the cost and divide by the number of padlocks

25.20/9

2.80

Each padlock costs 2.80

Answer:

$2.80

Step-by-step explanation:

25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9

25.20/9=2.8

write your answer in dollars: $2.80

Answer:

she will not have enough money

she will have 23 more to save

Step-by-step explanation:

got it right on plato

Answer:

If the bike costs $150, Carla will

not have

enough money to buy the bike before the start of summer.

Carla will have

$23

more to save

.

Step-by-step explanation:

Answer: $27.98

Step-by-step explanation:

22.00 × .2= 4.40

22 + 4.40 = 26.40

26.40 × .06 = 1.584

26.40 + 1.584 = 27.984

Round to the nearest hundred so the total paid by the customer would be 27.98

8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents

Answer:

Kayla

Step-by-step explanation:

Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.

Horizontal lines always have the slope of zero!

The slope of a vertical line is undefined.

Kayal is correct.

The rate of change in the table is -6.

The slope of the graph is 3/2.

The slope of a is the change in the y coordinate with respect to the change in the x coordinate.

We have,

A vertical line means there is no change in the x-coordinate.

i.e slope = change in y-coordinates / change in x-coordinate

slope = change in y-coordinate / 0
slope = undefined

The slope of a vertical line is undefined.

Now,

From the given table we see that there is a change of 1 for the x-values and a change of -6 in the y-values so,

Rate of change in the table:

= change in y values/change in the x values

= -6 / 1

= -6

Now,

Take any two points on the graph such as:

(a, b) = (4, 6) and (c, d) = (-4, -6)

The slope of the graph:

= (d - b) / (c - a)

= -6 - 6 / -4 - 4

= -12 / -8
= 3 / 2

Thus,

The slope of a vertical line is undefined.

Kayal is correct.

The rate of change in the table is -6.

The slope of the graph is 3/2.

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Answer:

B and C

Step-by-step explanation: Add all the cubes together to get the volume.

Elijah's total earnings for the week if he made x dollars in sales would be: $500 + 0.3x.

What is sale?

A sale is an event or activity in which goods or services are sold at a reduced or discounted price.

What is discount?

A discount is a reduction in the price of an item or service. It is often offered as a promotion or incentive to encourage customers to buy or use a product or service.

Total sales commission earned by Elijah for selling $775 worth of clothing:

30% of $775 = 0.3 x $775 = $232.50

Therefore, Elijah's total earnings for the week would be:

$500 (guaranteed salary) + $232.50 (commission) = $732.50

For selling x dollars worth of clothing, the commission earned by Elijah would be:

0.3x

Therefore, Elijah's total earnings for the week if he made x dollars in sales would be:

$500 (guaranteed salary) + 0.3x (commission) = $500 + 0.3x

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As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

We must add the desired net profit of $1,500,000 to the total cost of producing the 480,000 units to determine the selling price.

You can determine the overall cost as follows:

Total cost equals fixed costs plus. (Variable costs per unit x Number of units)

Total expense equals $984,000 plus ($14.50 x 480,000)

Cost in total is $7,224,000.

To reach a net profit of $1,500,000, we must add the following sum to the whole expense:

Selling price is calculated as Total Cost + Desired Net Profit / Units Sold.

($7,224,000 + $1,500,000) / 480,000 = selling price

Price to Sell: $17.55

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

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Answer:

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

To determine the selling price, we first need to calculate the total  variable cost:

Now calculate the required revenue:

Find the required selling price per unit:

Answer:

x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation:

Given :

Total Amount to spend ≤ $20

Let:

Amount of flour purchased = x

Amount of sugar purchased = y

Cost :

Flour = $2 per pound

Sugar = $1.5 per pound

Pounds of :

flour to be purchased ≥ 3.5

Sugar to be purchased ≥ 2

Hence, the system of inequalities :

x ≥ 3.5

y ≥ 2

Total Cost of x + total cost of y must be less than or equal to total amount

2x + 1.5y ≤ 20

Answer: x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation: To write a system of inequalities, it is important to determine the restrictions. One restriction is that Sarah wants to buy at least 3.5 pounds of flour. "At least" means that 3.5 is the smallest amount she would buy and 3.5 can be included. This is expressed as x ≥ 3.5. She also wants at least 2 pounds of sugar, so similar to the flour, this can be written as y ≥ 2. Finally, the cost can be expressed as 2x + 1.5y. This is a restriction because Sarah can spend up to $20, so 2x + 1.5y is less than or equal to $20, or 2x + 1.5y ≤ 20.

Answer:(2,-3)

Step-by-step explanation:

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

Step-by-step explanation:

Answer:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Step-by-step explanation:

Given the equation:

\(sin(x)-2sin(x) tan(x)=0\)

To find:

The solutions of given equation in the range [0, 2\(\pi\)) i.e. 0 can be in the answer but \(2\pi\) can not be there in the answer.

Solution:

Taking \(tan(x)\) common, we get:

\(tan(x) (1-2sin(x))=0\)

The solutions can be given as:

\(tan(x) = 0\) OR \(1-2sin(x) = 0\)

Let us solve both the equations one by one:

First equation:

\(tan(x) = 0\\ \Rightarrow x=0, \pi\)

Second equation:

\(1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}\)

Therefore, the answers as a comma separated list are:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Answer: D

Step-by-step explanation:

Answer:

9. -2

10. -1

11. -3

Step-by-step explanation:

9. 12-3X=22+2X

Collect like terms

12-22=2X+3X

-10=5X

Divide both side by 5

X= -10/5 = -2

10. X+7X-12= -20

Collect like terms

X+7X = -20+12

8X= -8

Divide both side by 8

X= -8/8 = -1

11. 7X+4-13X= -1+23

Collect like terms

-7X-13X = -1+23-4

-6X = 18

Divide both side by -6

X= 18/-6 = -3

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4