Write an equation for the line.

Answer:

  19%

Step-by-step explanation:

You want the change from February to April if 4100 bottles were manufactured in February, 7% more were manufactured in March, and 500 more were manufactured in April.

The change from February to March is given as 7%.

The change from March to April is 500 bottles. In terms of the February quantity, this is ...

  500/4100 × 100% ≈ 12.2%

Then the total of changes from February to April is ...

  change = 7% +12.2% = 19.2% ≈ 19%.

The number of bottles manufactured increased by about 19% from February to April.

__

Additional comment

When working with percentages, one must always be aware of the base amount—what it is that represents 100%. Here, we know the 7% number for March uses the February value as its base.

Since we want a percent change from the February base, we can use that same base to find the percent difference from March to April. Then the total difference from February is the difference to March plus the difference from March to April.

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Andrew will have $251.91 in his account after 5 years, assuming he does not add or withdraw any money from the account and that interest is compounded semiannually at a rate of 2.9%.

The fee that a lender assesses on a borrower is known as the interest rate, which is expressed as a percentage of the principal, or the loaned amount. Usually, the annual percentage rate (APR), which is how loans' interest rates are expressed, is indicated (APR).

Once your loan is fully repaid, interest will have an impact on the overall cost you pay. For instance, if the interest rate on a $100 loan is 5%, you will have to pay the lender $105 in order to repay the money. $5 will be profit for the lender.

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Answer:

The answer is y = 5x - 2

Step-by-step explanation:

Distribute 5 through the parentheses:

y - 3 = 5x - 5

Move the constant to the right-hand side and change its sign:

y = 5x - 5 + 3

Calculate the sum:

y = 5x - 2

Answer: the answer is 8

Step-by-step explanation:

The Answer is: 8

Simply divide 149 by the numbers you see,

Answer:

m = 2k/v²

Step-by-step explanation:

K = ½mv²

multiply both sides by 2

2 × k = ² × ½mv²

2k = mv²

divide both sides by (v²)

m = 2k/v²

i hope this helped

1. It can be piecewise linear; from x = 1 to x = 4, the y-value increases by the same amount each time. From x = 0 to x = 1, the y-value stays the same.

However, if it is supposed to be a single function, it would be non-linear because it changes slope.

2. It is discrete because there is no data between the points.

Answer:

The Answer is 20 inches tall

By using multiplication, it can be calculated that

The complete table is

Number of yogurt bars                       Cost of yogurt bars ($)

             1                                                       1.80

             2                                                      3.60

             3                                                      5.40

             4                                                      7.20

             5                                                      9.00

What is multiplication?

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

This is a word problem on multiplication

Cost of 2 yogurt bars = $1.80 [tex]\times[/tex] 2 = $3.60

Cost of 3 yogurt bars = $1.80 [tex]\times[/tex] 3 = $5.40

Cost of 4 yogurt bars = $1.80 [tex]\times[/tex] 4 = $7.20

Cost of 5 yogurt bars = $1.80 [tex]\times[/tex] 4 = $9.00

So the table is

Number of yogurt bars                       Cost of yogurt bars ($)

             1                                                       1.80

             2                                                      3.60

             3                                                      5.40

             4                                                      7.20

             5                                                      9.00

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Answer:

translation down 2 and reflection across x axis

Answer: y^7 - 8

Step-by-step explanation:

It is an algebra equation. It can't be factor or solve further!

The kicked football is an example of a projectile. The football's greatest height is 144 m.

A projectile is any object that is launched into space and moves under the influence of gravity and air resistance. A kicked football is a good example of a projectile. Given the height of the kicked football to be:h = -16t² + 96tThus, the height of the kicked football is a function of time taken. So that differentiating the equation of the height with respect to time, we have;0 = -32t + 9632t = 96t = [tex]\frac{96}{32}[/tex]  = 3

Thus the greatest height of the kicked football is attained when the time is 3 seconds.

Thus,h = -16t² + 96t   = -16 (3)² + 96 (3)   = -144 + 288h = 144

Therefore the football's greatest height is 144 m.

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Triagonometric function tan(A+B)/cot(A−B) is tan²A-tan²B/1-tan²Atan²B

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

tan(A+B)/cot(A-B)

tan(A+B)/1/tan(A-B)

(tanA+tanB/1-tanAtanB)/1/(tanA-tanB/1+tanAtanB)

tanA+tanB/1-tanAtanB)×tanA-tanB/1+tanAtanB

We know algebraic identity

(a+b)(a-b)=a²-b²

(tanA+tanB/1-tanAtanB)×(tanA-tanB/1+tanAtanB)

tan²A-tan²B/1-tan²Atan²B

Hence, triagonometric function tan(A+B)/cot(A−B) is tan²A-tan²B/1-tan²Atan²B

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Answer:

Should be 1/12

Step-by-step explanation:

7/30x5/14

Simply multiply the numerators and denominators separately:

5/14× 7/30 = 5 × 7/14 × 30 = 35/420

After reducing the fraction, the answer is

1/12

When gathering data through a survey, companies can save money by surveying 100% of a population. False

Survey an activity in which many people are asked a question or a series of questions in order to gather information about what most people do or think about something.

Survey research has historically included large population-based data collection. The primary purpose of this type of survey research was to obtain information describing characteristics of a large sample of individuals of interest relatively quickly.

Therefore when gathering data through survey there is not 100% sure that companies can make alot of save.

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Answer:

ABC is the original

Step-by-step explanation:

The scale factor is 1/2 which means that the triangle would get 2 times smaller. Therefore, triangle ABC is the original because it is the bigger one.

Answer:

The table below shows the distance in miles each of these cars traveled each hour. Let x be the number of hours Car #1 traveled before dropping out. Let y be ...

Step-by-step explanation

Answer: 30 wpm.

Step-by-step explanation:  

Do 225 divided by 7.5 and you get 30.

30 words in one minute.

Answer:

C)w-3, w-1, w, w + 1, w+3

Step-by-step explanation:

I'm not great with standard deviation, but I know that the greater the standard deviation, the more spread out the data is.

C) is the correct answer, the data points do not repeat and are spread out more than A.

You can check this by calculated each standard deviation (but only if you are crazy ;] )

Hope this helps,

:]

The triangles ΔPQR ~ ΔPXY are similar by using the AA test for the similarity of triangles.

What is the Angle-Angle similarity theorem of triangles?

The AA Similarity Theorem states: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In the given figure,

In ΔPQR and ΔPXY

∠P ≅ ∠P ----- Common Angle

∠PQR ≅ ∠PXY ----Corresponding angles.

So, ΔPQR ~ ΔPXY -----(AA test)

Hence, the triangles ΔPQR ~ ΔPXY are similar by using the AA test for the similarity of triangles.

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The type of interference is this :

Comparing proportions from 2 independent samples

Given,

In the question:

Complete question is this:

Do upperclassmen (Seniors and Juniors) spend more money on alcoholic beverages then underclassmen (Freshman and Sophomores)? What type of inference is this?

a. Comparing proportions from 2 independent samples

b. One proportion

c. Comparing means from dependent samples

d. Comparing means from 2 independent samples

e. Comparing proportions from dependent samples

f. One mean

Now, According to the question:

Hence, The type of interference is this :

a. Comparing proportions from 2 independent samples

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Total 241 adult ticket and 220 student ticket are sold.

system of equations, orsimultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

a + s = 461       or    s = 461 -a

Value of student tickets sold = s × 3   = 3 × (461-a)

Value of adult ticket sold =  4 a              

Summed they total 1624

System of equations :

s = 461-a3 (461-a) + 4a

  = 16241383 -3a +4a

  = 1624a

  = 241    

then  s = 461 -a = 220 ticket

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Answer:

12 hours

Step-by-step explanation:

1 pair per hour ?

The square root of 80 is 4√5 ≅ 8.92.

What is a square root of a number?

In mathematics, the square root of a number is a value that gives the original number on multiplication by itself. The positive number, when multiplied by itself, represents the square of the number. Thus, the square root of the square of a positive number gives the original number.

Using Prime Factorization:

The first step in this method is to find the prime factors of 80.

80 = 2 × 2 × 2 × 2 × 5

To find the root from here, we can simplify this to

√80 = √(2 × 2 × 2 × 2 × 5)

√80 = 4√5

We can either leave it at this or find the root of 5 which is 2.23 and simplify further.

Hence, Square Root of 80 = 4√5 ≅ 8.92.

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Diego rows 300 meters per minute

Information given in the question include

The graph shows the relationship between the time in the distant, Diego rows

The data is plotted as a linear function

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the change of the output values to the input values

the slope, m calculating using the points on the graph (1, 300) and  (2, 600)

m = (y₀ - y₁) / (x₀ - x₁)

m = (600 - 300) / (2 - 1)

m = 300 / (1)

m = 300

The number of meters Diego rows per minute is solved to be 300

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1)  image of the coodinate A(6,2) be A'(-2,6)

image of the coodinate B(3,4) be B'(-4,3)

image of the coodinate C(2,8) be C'(-8,2)

2) A transformation that preserves congruence is called an isometry

3) A dilation would produce a similar figure.

What do you mean by transformation?

Transformation is a collective term for four specific ways of manipulating the shape and position of points, lines, or geometric figures. The original shape of the object is called the master, and the final shape and position of the object is the image under transformation. There are four types of transformations in mathematics

1) When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).

Therefore, image of the coodinate A(6,2) be A'(-2,6)

image of the coodinate B(3,4) be B'(-4,3)

image of the coodinate C(2,8) be C'(-8,2)

2) A transformation that preserves congruence is called an isometry.  In other words, a transformation in which the Image and Pre-Image have the same side lengths and angle measurements. Translations, reflections, and rotations are isometries.

3) A dilation would produce a similar figure.

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The factorise quadratic equation x² + 18x + 45 = 0 is (x + 3)(x + 15)

A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.

Therefore, quadratic equation can be represented as follows:

ax² + bx + c

where

Hence, let's factorise x² + 18x + 45 = 0

x² + 18x + 45 = 0

Let's find the two numbers to add to get 18 and multiply to get 45

Therefore, the numbers are 3 and 15

x² + 18x + 45 = 0

x² + 3x + 15x + 45 = 0

x(x + 3) + 15(x + 3) = 0

(x + 3)(x + 15) = 0

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The number of cups of hot chocolate drink Nathan made is 12 cups.

According to the given information

number of milk cups 6 cups cooked by Nathan

4 cups of melted chocolate equals the number of cups.

Total number of creams = 1 PINT

Pint to cup conversion: 1 pint = 2 cups

Total number of cups of hot chocolate that were made by nathan

= Cups of milk heated + cups melted + number of cream

As a result, Nathan prepared 12 cups of hot chocolate.

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Answer:

Step-by-step explanation:

4x+7y=2.15

a dime is worth 10 cents each and because there are 4 dimes then there are 40 dimes. a quarter is worth 25 cents 4 quarters is a dollar, there are 7 quarters, minus 4, your left with 3 quarters so you have $1.75 of quarters but then you add .40 so now you have 2.15. So Santiago has $2.15 dollars.

x+y=2.15

For the 2nd question I think that it is asking a question and I think that this might be the answer but i'm not sure...if wrong I'm sorry.

To determine a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number.

To solve this problem, we can use the principle of proportionality, which states that if two ratios are equal, then the quantities they represent are proportional.

A. To find a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number. For example, if we divide both amounts by 2, we get 1 cup of yellow and 1.75 cups of blue. This will create a smaller amount of the same shade of green.

B. To find a mixture that will make the same shade of green but a bigger amount, we can multiply both the yellow and blue amounts by the same number. For example, if we multiply both amounts by 2, we get 4 cups of yellow and 7 cups of blue. This will create a larger amount of the same shade of green.

C. To find a mixture that will make a different shade of green that is bluer, we can increase the amount of blue relative to the amount of yellow. For example, we could use 2 cups of yellow and 4 cups of blue, which would create a green that is bluer than the original shade.

D. To find a mixture that will make a different shade of green that is more yellow, we can increase the amount of yellow relative to the amount of blue. For example, we could use 3 cups of yellow and 2 cups of blue, which would create a green that is more yellow than the original shade.

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Answer:

126+20+8h=250

Step-by-step explanation: