Factor each expression.
4x² +25

Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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Answer:

  ₦60

Step-by-step explanation:

The amount of tax will be found by multiplying the tax rate by the amount being taxed.

__

The monthly tax is the tax rate times the monthly salary:

  10% × ₦604.18 = ₦60.42

Olaolu's monthly tax is about ₦60.

The percentage of drivers who are at least 45 is 62%

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

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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Answer:

135/2

Step-by-step explanation:

67.5 = 675/10

which is

135/2

Answer:

$2.50

Step-by-step explanation:

8.75 / 7= 1.25

1.25 * 2 =2.50

Answer:

30 Degrees for sure

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:1/1850

Step-by-step explanation: Davide 10% from 18500

Answer:

u is the one on my mind rn

Step-by-step explanation:

HAHAHAHAHHAA XD

Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

Answer:

y = -2/5x + 3

Step-by-step explanation:

The slope of a line parallel to another line has the same slope. So, the slope of a line parallel to the line y = -2/5x + 3 is -2/5. To write the equation of a line with slope -2/5 that is parallel to y = -2/5x + 3, you can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope, (x1, y1) is any point on the line, and m is the slope. To use this form, you can choose any point on the line y = -2/5x + 3 and plug in the coordinates for (x1, y1). For example, if you choose (0,3), the equation for the line parallel to y = -2/5x + 3 is:

y - 3 = -2/5(x - 0)

y - 3 = -2/5x

y = -2/5x + 3.

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer: The percent that the phone is on sale is 50%. The discount if 40 dollars.1/2 of the total will be taken off.

Answer:

Step-by-step explanation:

A

Answer:

$3000

Step-by-step explanation:

$150 / 1 sq ft * 20 sq ft

$150 / 1 sq ft = this means $150 per square feet :

Given that there area 20 Square feets, then

Cost in $ will be :

$150 * 20 sq feet

= $3000

Answer:

A) Null hypothesis; H0: μ = 3500

Alternative hypothesis;Ha μ ≠ 3500

B) t = -1

C) the rejection region will be;

p-value < 0.05

D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.

Step-by-step explanation:

We are given;

Population mean; μ = 3500

Population standard deviation; σ = 500

Sample mean; x¯ = 3400

Sample size; n = 25

We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.

Thus, the hypothesis is defined as;

A) Null hypothesis; H0: μ = 3500

Alternative hypothesis;Ha μ ≠ 3500

B) sample size is less than 30, thus we will use a t-test.

Formula for the test statistic is;

t = (x¯ - μ)/(σ/√n)

t = (3400 - 3500)/(500/√25)

t = -100/(500/5)

t = -1

C) since the sample is small, let's assume a significance level of 0.05.

Thus,the rejection region will be;

p-value < 0.05

D) from online p-value from t-score calculator attached using;

t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;

p-value ≈ 0.3273

This is greater than the significance value of 0.05.

Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.

Using simple Subtraction, following is the required data.

point A always begins at 45 and point B at 69,

b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)

c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)

D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)

e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.

f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.​

We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations.

Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.

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Answer:

Step-by-step explanation:

\(\frac{9-3y}{1-9y} = \frac{8}{5}\)

do cross multiplication

\(5(9 - 3y) = 8(1 - 9y)\\45 - 15y = 8 - 72y\\45 - 8 = -72y + 15y\\37 = -57y\\\frac{37}{-57} = y\)

Answer:

Step-by-step explanation:

\(3(3−y) \times 5=(1−9y) \times 8\)

\(45−15y=(1−9y) \times 8\)

\(45−15y=8−72y\)

\(45+57y=8\)

\(57y=8−45\)

\(57y=−37\)

Answer:i dont kno what number u put

Step-by-step explanation:

Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)

-7-63a

Answer:17/100

Step-by-step explanation:

Answer=8/45

Explaination

=

one approach is algebraically

x

=

0.177777

...

.

.

because one digit recurs multiply by 10 na dthen follow the method below

10x=1.777777777

x

=

0.17777777

Now,

9x=1.6

So,x=1.6/9=16/90

Hence,

x

=

8/

45

=

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

The first one because it is matching the numbers correctly

Answer:

a

Step-by-step explanation:

175L of water is in the first tank while water is being added at a rate of 7 L per minute

550L is in the second tank while 8L of water is being drained per min

Knowing this we can create the two sides of the equation

175 + 7x = 550 - 8x

BONUS

The question asks when they will have the same amount

rearrange

8x+7x= 550-175

15x=375

x=25

Answer:

d=2-3a

Step-by-step explanation:

Solve for d by simplifying both sides of the equation, then isolating the variable.

3d+3a=4

Subtract 3 from each side of the equal sign:

d+3a=1

Subtract 3a-1:

d=2-3a

Hence d=2-3a is your final answer

Answer:

d = 2 - 3a

a = -d+2/3

Step-by-step explanation:

i didnt know which one u wanted to slove for but here are the answers and putting both equations would take to long so yea

lmk if this helped

Answer: The lowest common multiple between 35 and 55 is 385.

Answer:8.75 gallons

Step-by-step explanation:

well first his car drives 32 mpg, so with this info you divide 200 by 32.Which is 6.25 gallons.Then do the same with 480,480 divided by 32 which is 15 gallons.subtract it 15-6.25 which is 8.75.8.75 more gallons is the answer.

The 80% confidence interval for the mean temperature is given as follows:

(69.404, 78.284).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 9 - 1 = 8 df, is t = 1.3968.

Using a calculator, the remaining parameters are given as follows:

\(\overline{x} = 73.844, s = 9.537, n = 9\)

Then the lower bound of the interval is given as follows:

73.844 - 1.3968 x 9.537/3 = 69.404.

The upper bound of the interval is given as follows:

73.844 + 1.3968 x 9.537/3 = 78.284.

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Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

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