Find the value of each variable.
2(5x − 5)°
20yº
(5y + 5)
(3x - 5)°

Answer:

Step-by-step explanation:

Area = l times w

94 x 58 = 5452

The quadrilateral that has four congruent sides is option D. square. A square is a special type of rectangle and rhombus, characterized by having all four sides of equal length.

A parallelogram (option A) is a quadrilateral with opposite sides that are parallel. While the opposite sides of a parallelogram are congruent, it does not guarantee that all four sides are equal.

A rectangle (option B) is a quadrilateral with four right angles. While opposite sides of a rectangle are congruent, it does not necessarily have four congruent sides unless it is also a square.

A rhombus (option C) is a quadrilateral with all sides of equal length. While a rhombus does have four congruent sides, it is not the only quadrilateral with this property.

Therefore, among the given options, the quadrilateral that has four congruent sides is the square (option D).

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Answer:

3×6²

3×36

108 is the answer weirdo

Answer:

a) y=200x+450

b) y=200(8)+450 = $2050

c) 21 months

Step-by-step explanation:

a) y=200x+450

200 per month plus her initial deposit of 450

b) y=200(8)+450 = 2050

To see how much she'll have after 8 months, plug in 8 for x

c) 4500<200x+450

4050<200x

20.25<x

x>20.25, so after 21 months since 20.25 is more than 20 months you have to round up to 21

Answer:

1/3 x 1/2

Step-by-step explanation:

Answer:

-10. is the answer

Step-by-step explanation:

The equation of line p is y = 1/2x +   -10

i just answered the question on edge.

Answer:

235.3$ for part a

The amount in the account on April first of the following year is $3799.358 and the compound interest is $179.358.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

(a) The amount in a compound interest can be found as,

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

where A is the final amount, P is the initial or principal amount, r is the interest rate, n is the number of times compounding occurs in a year and t is the number of years.

Given P = $3,620, r = 6.5% = 0.065, t = 9 months = 0.75 year

n = 4 (since compounded quarterly)

A = 3620 (1 + \(\frac{0.065}{4}\)) ^(4 × 0.75)

  = 3620 (1.01625)³

  = 3799.358

(b) Compound Interest = Final amount - Initial amount

                                      = 3799.358 - 3,620

                                      = $179.358

Hence the compound interest is $179.358.

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Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

angle ACB+ angle ACD=180°

37+angle ACD=180

angle ACD=143°

Answer:

143 is the answer

Step-by-step explanation:

Answer:

solution,

x+85+24=180 (being sum of angle of triangle)

x+109=180

x=180-109

x=71

therefore, the third angle is 71

Answer just below :-

Step-by-step explanation:

Let the third angle be x

Then;

24°+85°+x = 180 ( sum of interior angles of a triangle is 180°)

or; 109°+x = 180°

or; x = 180°-109°

:x=71°

Therefore the measure of third angle is 71°

Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool

Step-by-step explanation:

You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,

Ps can I get the brainliest answer

We want to get the domain and range, graph, and analyze the given function.

We have the function:

w(t) = 45,000 - 100*t.

First, we want to get the domain and range of the function.

The domain is defined as the possible values of the input, in this case, is the time.

The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:

w(t) = 0 = 45,000 - 100*t

t = 45,000/100 = 450

Then the domain is D = [0, 450]

The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:

R = [0, 45,000]

The graph of the function can be seen below.

How much water is in the pool after 60 minutes?

Just replace t by 60 in the equation.

w(60) = 45,000 - 100*60 = 39,000

This is 39,000 gallons of water.

How many minutes will it take to empty the pool?

We already found that it takes 450 minutes.

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Answer:

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

:)

A) The number of people who have started the rumor is N(0)=12

B) The number of students who are in the school are 1800

C) The number of days the rumor spreads to ½ the student body are 8 days.

D) The number of students who have heard the rumor when the rumor is spreading the fastest are 900.

The rate of change in students per day at this time is 281.

The rate of change is a mathematical term that describes the percentage change in value over a given time period and represents the momentum of a variable.

A) Number of people who have heard the rumor after t days is given by:

N (t) = 1800/1+149e^-0.625t

At start t=0, so from the above equation at t=0, we get

N(0)=(1800)/1+149e^0

N(0)=1800/(1+149(1))

N(0)=1800/150

N(0)=12

B) At t=∞, all of the students would have heard the rumor.  So putting t↔∞ in the above equation we get,

\(\lim_{t \to \infty}\)N(t)=\(\lim_{t \to \infty}\) 1800/1+149e^-0.625t

=1800/(1+0)

=1800

Therefore, the number of students in the school are 1800.

C) Putting N=1800/2 in the above equation, we get

1800/2= 1800/1+149e^-0.625t

1+149e^-0.625t=2

e^-0.625t=(2-1)/149

=1/149

Taking log on both sides, we get

ln(e^-0.625t)=ln(1/149)

-0.625t=-ln(149)

t=ln(149)/0.625

t=8.006≈8

D) N'(t)=0.625N(1-(N/1800)

=0.625(N-(N²/1800)

=(0.625/1800)(1800N-N²)

=(0.625/1800)(900²-900²+1800N-N²)

=(0.625/1800)(900²-(N²-1800N+900²)

N'(t)=(0.625/1800)(900²-(N-900)²)

For N to be maximum,

N=900

Thus, rumor is spreading fastest when 900 students have heard the rumor.

And rate of change in students per day is obtained by putting N=900 in expression of N'(t) as follows:

N'(t)=(0.625×900)(1-(900/800))

N'(t)=281.25≈281

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Answer:

1

Step-by-step explanation:

To meet your requirements for a 7-day supply, you should combine 11 servings of Designer Whey and 2 servings of Muscle Milk.

Let x be the number of Designer Whey servings and y be the number of Muscle Milk servings.
Use the protein requirements to set up an equation:
18x + 32y = 262 (Designer Whey has 18g of protein per serving, and Muscle Milk has 32g per serving)
Use the carbohydrate requirements to set up a second equation:
2x + 16y = 54 (Designer Whey has 2g of carbohydrates per serving, and Muscle Milk has 16g per serving)
Now you have a system of two linear equations:
18x + 32y = 262
2x + 16y = 54
To solve this system, first simplify the second equation by dividing by 2:
x + 8y = 27
Rearrange the simplified equation to isolate x:
x = 27 - 8y
Substitute the expression for x from step 4 into the first equation:
18(27 - 8y) + 32y = 262
Distribute the 18 and simplify the equation:
486 - 144y + 32y = 262
Combine like terms and solve for y:
-112y = -224
y = 2
Substitute the value of y back into the expression for x from step 4:
x = 27 - 8(2)
x = 27 - 16
x = 11

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Answer:

C.14ײ+5

Step-by-step explanation:

Hope It Help

Brainliest please

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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Answer:

10.51

Always look to the right of the place you are rounding

so...

if you look at 10.507140429

the 0 after 5 is in the hundredths place

look to the right of 0 and you'll see a 7.

If the number to the right of the place you are supposed to round to is:

5 or greater - round up

less than 5  - round down

Hope this helped

It takes skilled persuasion techniques to get most businesses to make adjustments promptly can be considered true.

In the business world, decision-making processes can be complex and involve various stakeholders with different interests and priorities. When it comes to making adjustments or changes within a business, it often requires convincing and influencing these stakeholders to adopt new strategies, methods, or practices.

Skilled persuasion techniques can play a crucial role in effectively communicating the benefits, rationale, and potential positive outcomes of the proposed adjustments. Persuasion techniques such as effective communication, presenting compelling evidence, highlighting the advantages, addressing potential concerns, and building consensus can help in gaining support and cooperation from key decision-makers and individuals within the organization.

Without employing persuasive techniques, it can be challenging to prompt businesses to make adjustments promptly. Business leaders and employees may be resistant to change, have competing priorities, or lack a clear understanding of the benefits and implications of the proposed adjustments. Skilled persuasion techniques, when applied appropriately, can help overcome these barriers and facilitate prompt decision-making and implementation of necessary adjustments within the business.

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A null hypothesis refers to a statistical hypothesis that assumes that there is no difference between two groups or variables. The null hypothesis may either be rejected or not rejected based on the statistical results obtained from a hypothesis test. A hypothesis test is a statistical test that is conducted to either accept or reject the null hypothesis based on the statistical results obtained.

When is the null hypothesis rejected?The null hypothesis is rejected when the p-value is less than or equal to a preconceived level of significance, α (usually set at 0.05 or 0.01).The null hypothesis is rejected when the calculated test statistic (such as t-test, z-test, or F-test) is greater than or equal to the critical value corresponding to the level of significance α.

When is the null hypothesis not rejected?The null hypothesis is not rejected when the p-value is greater than the preconceived level of significance, α. This means that there is not enough evidence to reject the null hypothesis.The null hypothesis is not rejected when the calculated test statistic is less than the critical value corresponding to the level of significance α. This means that there is not enough evidence to reject the null hypothesis.

In conclusion, the null hypothesis is rejected when the p-value is less than the preconceived level of significance α or when the calculated test statistic is greater than or equal to the critical value corresponding to the level of significance α. On the other hand, the null hypothesis is not rejected when the p-value is greater than the preconceived level of significance α or when the calculated test statistic is less than the critical value corresponding to the level of significance α.

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Answer:

180

Step-by-step explanation:

substitute the values into the expression

4cd

= 4 × 5 × 9 = 20 × 9 = 180

Answer:

- 3 / 10

Step-by-step explanation:

- 9 / 10 - ( - 3 / 5 )

= - 9 / 10 + 3 / 5

= 3 / 5 - 9 / 10

= 6 / 10 - 9 / 10

= ( 6 - 9 ) / 10

= - 3 / 10

The kids' judgments of the significance of excellent nutrition in the food given may vary based on the students' ages and, consequently, on school level, making this variable an useful one to stratify the survey on.

Each sample has an equal chance of being picked when using the random sampling sampling approach. It is intended that a sample picked at random will be a fair reflection of the entire population. Two different approaches to sampling exist: Random selection is a key component of probability sampling, which enables you to draw robust statistical conclusions about the entire group. Non-probability sampling incorporates non-random selection based on practicality or other factors, making it simple to gather data.

The student's degree of education is one potential stratification factor. Depending on the kids' ages and, thus, on their academic ability, the students' judgments of the significance of nutritious meals may vary. In contrast to middle school and high school pupils, elementary school children may place different values on the food that is offered.

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Answer:

16,384

Step-by-step explanation:

262,144/4^2

Answer:

24

Step-by-step explanation:

when you open up the parenthesis, you get -8x-3 which is 24.

negative x negative = positive

If the total cost to rent 2 chairs and 12 tables is $107 and the total cost to rent 5 chairs and 3 tables is $38, then the costs to rent each chair and table are $2.5 and $8.5 respectively. We can solve this question using elimination and substitution methods.

Elimination and substitution methods are involved in solving this problem. We're going to use the variables x for the cost of a chair and y for the cost of a table. The total cost to to rent 2 chairs and 12 tables is $107, so the equation can be written as 2x + 12y = 107. The total cost to rent 5 chairs and 3 tables is $38, so the equation can be written as 5x + 3y = 38.

To find the value for x, we need to eliminate the variable y first. Start by multiplying each term in the second equation by 4.

5x · 4 + 3y · 4 = 38 · 4

20x + 12y = 152

Then, subtract the terms in the second equation from their counterparts in the first equation.

2x   + 12y = 107

20x + 12y = 152 -

-18x  + 0   = -45

Finally, with a little bit of algebraic manipulation, we've got x = 2.5, hence $2.5 is the cost in to rent a chair.

-18x = -45

x = -45/-18

x = 2.5

What about the cost to rent a table? Well, we can substitute 2.5 for x in either of the equations to get the value for y. For instance, we can pick the equation 2x  + 12y = 107 and substitute x with 2.5 to isolate the variable y, like this:

2(2.5) + 12y = 107

5 + 12y = 107

12y = 107 - 5 = 102

y = 8.5

The value for y turns out to be 8.5. So the cost to rent a table is $8.5.

Your question is incomplete, but it was most probably "A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost to rent each chair and each table?"

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