7. An angle is in quadrant III with a reference angle of 20°, find the positive measure of the angle.

Let the rectangle with side as x and y.

Determine the area of the rectangle.

The sides of the rectangle is increased by twice means that new sides are 2x and 2y.

Determine the area of new rectangle.

So new area is four times the previous rectangle.

Thus correct answer is option A quadruples.

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

Collect as many ants as you can with the container you have provided. A excellent approach to do this is to sprinkle some sugar or bread crumbs in a container and position it near the ant nest, where the ants will gather. A reasonable starting point is about 100.

Step-by-step explanation:

Hope it helps:)

The area of rectangle DEFG is 16 square units and its perimeter is 12 units.

To find the area, we can use the formula: Area = length x width We can find the length and width by calculating the distance between the coordinates of opposite sides of the rectangle.

Length = EF =

\( \sqrt{} ((2-1)^2 + (1-3)^2)\)

=

\( \sqrt{} (2 + 4) = \sqrt{} (6)\)

Width = DG =

\( \sqrt{} ((-3+2)^2 + (1+1)^2) = \sqrt{} (2 + 4) = \sqrt{} (6)\)

The area of rectangle DEFG = length x width =

\( \sqrt{} (6) x \sqrt{} (6)\)

= 6 x 2 = 16 square units.

To find the perimeter, we can add up the lengths of all four sides: Perimeter = DE + EF + FG + GD

DE =

\( \sqrt{} ((1+3)^2 + (-3+(-1))^2) = \sqrt{} (16 + 4) = \sqrt{} (20)\)

EF =

\( \sqrt{} ((2-1)^2 + (1-3)^2) = \sqrt{} (2 + 4) = \sqrt{} (6)\)

FG =

\( \sqrt{} ((2+2)^2 + (1+1)^2) = \sqrt{} (16 + 4) = \sqrt{} (20)\)

GD =

\( \sqrt{} ((-2+3)^2 + (-1-1)^2) = \sqrt{} (1 + 4) = \sqrt{} (5)\)

The perimeter of rectangle DEFG =

\( \sqrt{} (20) + \sqrt{} (6) + \sqrt{} (20) + \sqrt{} (5) \)= 12 units.

Hence, The area of the rectangle is 16 square units and the perimeter is 12 units.

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Answer:

1 PM

Step-by-step explanation:

Find the least common multiple of 36 and 45 to get the next time they are equal

Factorize

36 = 2 * 2 * 3 * 3

45 = 3 * 3 * 5

Multiply for LCM

LCM(36, 45) = 2 * 2 * 3 * 3 * 5 = 180 minutes = 3 hours

Add 3 hours to 10 AM

10 AM + 3 hours =  1 PM

Answer:

$0.25

Step-by-step explanation:

So total of 5.25 after tax Sorry if i am wrong am pretty sure this is correct.

First you will get 4dz

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

The graph of the given piecewise function is plotted at the end of the answer.

A piecewise function is a function that has different definitions, depending on the input.

From the definition in the problem, we have that:

Considering these three definitions, the graph is given at the end of the answer, with the legend of the closed interval given in the text.

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Answer:

D. $8.09

Step-by-step explanation:

Get the total amount for Job 1 & Job 2 he worked for x amount of hours. The x amount of hours and the amount of earnings he get per hour is given to us:

Job 1: $7.55 x 10 = $75.50

Job 2: $8.45 x 15 = $126.75

Add two total costs from work:

$75.50 + $126.75 = $202.25

You add 10 + 15 to get 25 and we need this number for the average as he worked 25 hours in total:

$202.25 / 25 = $8.09 per hour

Don's average earnings per hour is $8.09 per hour.

It will take 15/2 hours for Mitch to run 1 mile. Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2.

Mitch ran 5/2 of a mile in 1/3 of an hour. To calculate how many hours it will take Mitch to run 1 mile, we need to use a ratio. The ratio is (5/2)/(1/3). To solve this, we need to multiply the numerator and denominator of the first fraction with the denominator of the second fraction, and then multiply the numerator and denominator of the second fraction with the denominator of the first fraction. So, the ratio becomes (5/2)*(3/1)/(1/3)*(2/1). Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2. This means that it will take 15/2 hours for Mitch to run 1 mile.

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Answer:

No solution.

Step-by-step explanation:

 Solving using elimination method:

           3a = - 5b - 2

    3a + 5b = -2 ------------------(I)

            10b = 1 - 6a

   6a + 10b = 1 --------------------(II)

\(\sf \dfrac{a_1}{a_2}= \dfrac{3}{6}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{5}{10}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2} = \dfrac{-2}{1}\)

\(\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}\)

So, this system of linear equations are two parallel lines and has no solution.

Answer:

You could compare the ounces or weight, the price per unit, or overall quality.

Step-by-step explanation:

You could use the ounce/weight to check which weighs more, or has more in it. Then figure out which is more reasonable. You could use the price per unit, and the ounce/weight because the price per unit/ price per ounce could be more expensive, or less expensive and make more sense to buy. Or you could just use overall quality. You can have an item with more in it, but have lower quality contents, when you could have a smaller amount with better quality contents, which might cost a little more.\

-Hope this helped

If the total charge on 8 particles is -56 units and all the particles have the same charge, then the charge on each particle is equal to -7 units.

The charge on each particle can be determined by division.

Division is a part of the basic operations of arithmetic which are four in number, the rest being addition, subtraction, and multiplication. It can be considered the opposite of multiplication and involves separating into equal parts or groups.

The change on each particle can be calculated by dividing the total charge units by the total number of particles. Hence,

charge on each particle = total charge units ÷ total number of particles

charge on each particle = -56 / 8

charge on each particle = -7

Therefore, the charge on each particle is equal to -7 units if all the particles have the same charge.

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Answer:

y = 136

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 82 + 54 = 136

Answer:

36

Step-by-step explanation:

21/7=3

12x3=36

7:12 = 21:36

Answer:

21/36

Step-by-step explanation:

To get from 7 to 21 we multiply to 3 so you would do the same for the bottom

It will take approximately 2.9 years (or 2 years and 11 months) for the $2500 investment to earn $400 interest at a rate of 8% compounded quarterly.

A = \(P(1 + r/n)^{nt}\)

Where:

A = the total amount that includes principal and interest, P = the principal that is the initial amount invested, r = the annual interest rate, n = the number of times is the interest is compounded per year, and t = the time

$2900 = \($2500(1 + 0.08/4)^{4t}\)

Simplifying this equation, we get:

1.16 = (1 + 0.02

By calculating the natural logarithm of both sides, we arrive at:

ln(1.16) = 4t ln(1.02)

t ≈ 2.9 years

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Answer:

y = -2x + 1

Step-by-step explanation:

y = mx + b (m is the slope and b is the y-intercept)

y = mx + 1

Equation for slope: \(\frac{y1-y2}{x1-x2}\)

(0,1) (1,-1)

\(\frac{1+1}{0-1}\) = \(\frac{2}{-1}\) = -2

y = -2x + 1

Main Answer:

The given numbers appear to be a series of unique identifiers or codes.

Explanation:

The provided sequence of numbers, namely 33565270, 33565271, 33565276, 33565279, and 33565284, seems to follow a pattern. These numbers likely represent unique identifiers or codes assigned to different entities or objects. While the specific meaning behind these identifiers cannot be determined without additional context, they could potentially correspond to various items, individuals, transactions, or records within a specific system or domain.

Each number in the sequence is similar, differing by only a few digits. This suggests that the identifiers might be sequentially assigned, with the last few digits incrementing by a fixed amount each time. This incremental pattern indicates a systematic approach to generating these codes, possibly for organizational purposes or to ensure uniqueness.

It is worth noting that without further information or context, it is challenging to provide a more precise interpretation of these numbers. Understanding their purpose and significance would require additional details about the specific system, database, or industry they belong to.

Learn more about:

Answer:

Step-by-step explanation:

\(\frac{8}{30}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4}{15}\)

The Complete is showing the length of the fence and the cost.

Length of fencing  4  6      7    9  10

Cost:                       36 54  63 81  90

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Length of fencing  4  6  7  x  10

Cost:                       36 y z 81 w

Now, Using proportion

4/ 36 = 6/y

4y = 36(6)

y = 54

and, 4/36 = 7/z

4z = 36 (7)

z = 63

and, 4/36 = x /81

x = 9

and, 4/36 = 10/w

360 = 4w

w= 90

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The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴

= 15/16

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The equation that models the situation is y = 5x

The variation is given as a direct proportion

This means that:

Length (y) = constant (k) * pickets (x)

So, we have:

y = kx

When x = 22, y = 110.

So, we have:

110 = 22k

Divide both sides by 22

k = 5

Substitute k = 5 in y = kx

y = 5x

Hence, the equation that models the situation is y = 5x

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This results in a probability of approximately 0.044, or 4.4%.  the probability of any number of eagles surviving their first year can be calculated using the binomial probability formula.

The probability of a bald eagle surviving its first year of life is 62%. If 45 bald eagles are randomly selected, we can use the binomial probability formula to calculate the probability of a certain number of eagles surviving their first year.

P(x=k) = (n choose k) * p^k * (1-p)^(n-k)

Where n is the total number of trials (45), k is the number of successes (surviving eagles), p is the probability of success (0.62), and (n choose k) is the binomial coefficient.

To find the probability that exactly 20 eagles survive their first year, we plug in the values:

P(x=20) = (45 choose 20) * 0.62^20 * 0.38^25

This results in a probability of approximately 0.044, or 4.4%.

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Answer:

I think the answer is D.

Step-by-step explanation:

Well, if you look at the last few sentences in that picture, it says that "he earns money depending how long he babysits." It's a clue to the answer, so the answer is obviously D.

I am also sorry if my answer is wrong. It might be c but please comment on my answer if you disagree/think it's wrong.

Answer:

c

Step-by-step explanation:

since the amount of money he earns depends on the number of hours he babysits, it makes the money dependent and the hours independent.

Answer: 8r+5t

Step-by-step explanation:

8t + 6r - 3t + 2r

8t-3t= 5t

6r+2r=8r

= 8r+5t

Answer:

The answer would be 8r + 5t

Answer:

97.336 (unit)³

Step-by-step explanation:

V=a³=(4.6)³=97.336 (unit)³

Answer:

Brand B is better

Step-by-step explanation:

Brand A's unit price is $0.24

Brand B's unit price is $0.21