Solve the following addition and subtraction problems.3 km9hm9dam19 m+7km2 dam5sq km95 ha8,994sq m+11sq km11 ha9,010sq m44m−5dm72km47hm2dam−11 km55hm

Answers

Answer 1

As a well accepted rule to solve this problem, we would transform all values to the lower units.

so for the first question:

3 km 9hm 9 dam 19 m + 7 km 2 dam

3,000 m 900 m 90 m 19 m + 7,000 m 20 m

= 4,009 + 7,020

= 11,029 m

The second question:

5 sq.km 95 ha 8,994 sq.m + 11 sq.km 11 ha 9,010 sq.m

5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq 9,010 sq m

= 5,103,994 sq m + 11,119,010 sq m

= 16,223,004 sq m

The third question:

44 m - 5 dm

44 m - 0.5 dm

= 43.5 m

The fourth question:

72 km 47 hm 2 dam - 11 km 55 hm

72,000 m 4,700 m 20 m - 11,000 m 5,500 m

= 76,720 m - 16, 500 m

= 60,220 m


Related Questions

Home Liquidators marks up its merchandise 35% on cost. What is the company’s equivalent markup on selling price?

Answers

The company’s equivalent markup on selling price is 26%.

What is markup?

The markup is the gap between the selling price and the cost of a good or service. It is frequently represented as a percentage of the total cost. To cover the costs of doing business and generate a profit, a markup is added to the overall cost borne by the manufacturer of a good or service.

The following can be deduced based on the information:

Markup on cost = 35%

Cost = 100%

Selling price = 135%

Markup on selling price will be:

= (0.35/1.35 x 100)

= 26%

Therefore, the value is 26%.

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a shelf is in the shape of a triangle. find the angle of the triangle if the measure of the angles are in the ratio of x:x:4x.x=4x=

Answers

ANSWER

30°, 30° and 120°

EXPLANATION

We want to find the measures of the angles of the triangle if the ratio of the angles is x : x : 4x

In other words, the ratio is 1 : 1 : 4

The total angle in a triangle is 180°.

Therefore, we have to find the value of x. To do this, we first find the total ratio:

[tex]\begin{gathered} 1+1+4 \\ =6 \end{gathered}[/tex]

Now, find x by apply ratios. x is equal to 1/6 of the total angle of the triangle:

[tex]\begin{gathered} x=\frac{1}{6}\cdot180 \\ x=30\degree \end{gathered}[/tex]

Now, find 4x:

[tex]\begin{gathered} 4\cdot x=4\cdot30 \\ =120\degree \end{gathered}[/tex]

Therefore, the ratio of angles is:

[tex]30\degree\colon30\degree\colon120\degree[/tex]

In other words, the angles are 30°, 30° and 120°.

writing to explain in your own words tell what it meant by the absolute value of an integer

Answers

An absolute value of an integer is defined as a positive value/ digit of an integer regardless of the sign.

The symbol used is as shown below;

[tex]\parallel\text{ -3 }\parallel[/tex]

or single lines as;

This means in absolute value of an integer , negative 2 is equal to positive 2.

Answer

In summary, an absolute value of an integer is a non-negative value , and the sign will only indicate direction, if well stated.

Can you please help me with 44Please use all 3 forms such as :up/down, as_,_ and limits

Answers

Given:

[tex]h(x)=(x-1)^3(x+3)^2[/tex]

The x-intercepts of the given polynomial are

[tex]x-\text{intercepts }=1\text{ (multiplicity 3) and -3 (multiplicity 2)}[/tex]

Substitute x=0 in h(x) to find y-intercepts.

[tex]\text{ y-intercepts =}(-1)^3(3)^2=-9[/tex][tex]\lim _{x\to-\infty}h(x)=\lim _{x\to-\infty}(x-1)^3(x+3)^2=-\infty[/tex]

[tex]as\text{ x}\rightarrow-\infty,\text{ h(x)}\rightarrow-\infty[/tex]

[tex]\lim _{x\to\infty}h(x)=\lim _{x\to\infty}(x-1)^3(x+3)^2=\infty[/tex]

[tex]as\text{ x}\rightarrow\infty,\text{ h(x)}\rightarrow\infty[/tex]

The graph of the given polynomial h(x) is

The degree of the polynomial is 6=even and the leading coefficient=1=positive.

Both ends of the graph point up.

End behaviour is

up/up.

Fifty people in a room are wearing clothes either in red orwhite or a combination of the two colors. Thirty are wearingonly red and 16 are wearing a combination of both red andwhite. How many are wearing clothes that have white in them?

Answers

SOLUTION

We will solve the question using a Venn diagram

Let R represents people wearing clothes that have red

Let W represents people wearing clothes that have white

We have the Venn diagram as follow

So from the Venn diagram small letter w represent those wearing clothes that have only white. So we have that

[tex]\begin{gathered} 30+16+w=50 \\ 46+w=50 \\ w=50-46 \\ w=4 \end{gathered}[/tex]

So those for "only" white is 4.

But those wearing clothes that have white in them will be only white plus those wearing combination of red and white. We have

[tex]16+4=20[/tex]

Hence the answer is 20

A. Find the zeros in state the multiplicity of each zeroB. Write an equation expressed as the product of factors, of a polynomial function for the graph Using A leading coefficient of 1 or -1 and make the degree of F a small as possible.C. Use both the equation in part B and graph to find the Y intercept

Answers

Given the graph of a polynomial function:

We will find the following:

A. Find the zeros and state the multiplicity of each zero

The zeros of the function are the points of the intercept between the x-axis and the graph of the function

as shown, there are 3 points of intersection (3 zeros)

x = -1, multiplicity = 3

x = 1, multiplicity = 2

x = 2, multiplicity = 1

B. Write an equation expressed as the product of factors, of a polynomial function for the graph Using A leading coefficient of 1 or -1 and make the degree of F as small as possible.

Form A, the factors of the function will be:

(x+1), (x-1), and (x-2)

The equation of the function will be:

[tex]f(x)=(x+1)^3(x-1)^2(x-2)[/tex]

C. Use both the equation in part B and graph to find the Y-intercept

The y-intercept is the value of (y) when (x = 0)

So, substitute with x = 0

So,

[tex]y=(0+1)^3\cdot(0-1)^2\cdot(0-2)=-2[/tex]

So, the answer will be: y-intercept = -2

Three cities, A, B, and C, are located so that city A is due east of city B. If city C is located 35° west of north from city B and is 100 miles from city A and 70 milesfrom city B, how far is city A from city B?City Ais 20 miles due east of city B.City A is 35 miles due east of city B.City A is 42 miles due east of city B.City A is 122 miles due east of city B.

Answers

Given:

City A is due east of city B.

City C is located 35° west of north from city B.

Distance between city C and city A is 100 miles.

Distance between city C and city B is 70 miles.

The objective is to find the distance between city A and city B.

The above situation can be represented as,

Thus the total angle of ∠B = 90°+35° = 125°.

Now the measure of angle A can be calculated by law of sines.

[tex]\begin{gathered} \frac{AC}{\sin B}=\frac{BC}{\sin A} \\ \frac{100}{\sin125\degree}=\frac{70}{\sin A} \\ \sin A=70\cdot\frac{\sin 125\degree}{100} \\ \sin A=0.573 \\ A=\sin ^{-1}(0.573) \\ A\approx35\degree \end{gathered}[/tex]

By the angle sum property of triangle the value of angle C can be calculated as,

[tex]\begin{gathered} \angle A+\angle B+\angle C=180\degree \\ 35\degree+125\degree+\angle C=180\degree \\ \angle C=180\degree-35\degree-125\degree \\ \angle C=20\degree \end{gathered}[/tex]

Now, the distance between A and B can be calculated by,

[tex]\begin{gathered} \frac{AB}{\sin C}=\frac{BC}{\sin A} \\ \frac{AB}{\sin20\degree}=\frac{70}{\sin 35\degree} \\ AB=\sin 20\degree\cdot\frac{70}{\sin 35\degree} \\ AB\approx42\text{ miles} \end{gathered}[/tex]

Thus, the distance of city A is 42 miles due east of city B.

Hence, option (C) is the correct answer.

Which of the following is equivalent to the expression below? (2+31) + (8-21) O A. 6+1 O B. 6+5; O C. 10+57 O D. 10 + 1

Answers

Given the expression:

[tex](2+3i)+(8-2i)[/tex]

Let's find the equivalent expression from the choices given.

To find the equivalent expression, let simplify.

To simplify the expression, take the following steps:

• Remove the parentheses:

[tex]2+3i+8-2i[/tex]

• Combine like terms:

[tex]\begin{gathered} 2+8+3i-2i \\ \\ 10+i \end{gathered}[/tex]

Therefore, the equivalent expression is:

[tex]10+i[/tex]

ANSWER: D

D. 10 + i

Pyramid with the square base. Is this correct? Base=64in^2LA= 112in^2TA=176in^2

Answers

The given figures is of square pryamid with the square base

Area of square = side x side

In the given figure, the length of the base of the square = 8in

Area of base of square = 8 x 8

Area of base of square = 64 in²

The lateral area of a right pyramid can be calculated by

multiplying half of the perimeter of the base by the slant

height.

Lateral surface area = 1/2 x Perimeter of the base x slant height

Since, the base of the pryamid is square so, the perimeter for the base pf pryamid = 4side

Perimeter = 4 x side

Perimeter = 4 x 8

Perimeter of the base of pryamid is 32 in

Slant height is given as 7in

Lateral surface area = 1/2 x 7 x 32

LAteral surface area = 7 x 16

Lateral surface area = 112 in²

The total surface area can be calculated by adding base are to the lateral surface area

Total surface area = Lateral surface area + Base area

Total surface area = 112 + 64

Total surface area = 176 in²

Answer:

Area of base of square = 64 in²

Question 6 of 25Simplify the radical expression below.이히O A.A.v28O B.9O c.NIC3

Answers

We need to simplify the next given expression:

[tex]\sqrt{\frac{2}{9}}[/tex]

We can rewrite it as:

[tex]\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{\sqrt{9}}[/tex]

Solve each square root:

√2 =√2

√9 = 3

Then, the result is:

[tex]=\frac{\sqrt{2}}{3}[/tex]

Hence, the correct answer is option A.

The sum of two numbers is 122. The second number is 25 less than twice the first number. Find the number.

Answers

X+(2x-25)
3x-25=122
3x=147
X=49
49 and 73 are the numbers

B.
The scale of figure A to figure B is 1 to 2. If the area of figure A is 7 ft2, what is the area of figure B?
OA. 3.5 ft²
OB. 35 ft²
OC. 14 ft²
OD. 28 ft²

Answers

I think it’s B goodluck!!

Which of the following are maximum and minimum points of the function y = 2 cos x -1?

Answers

The graph of the function is shown below

From the options provided

Option A is correct because the maximum and minimum values are satisfied

the variables x and y vary inversely. use x=-2 and y=3 to write and equation relating x and y. then find y when x=-1

Answers

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Define the variation that occurs in the Question.

Inverse Variation: Inverse variation is the relationship between two variables, such that if the value of one variable increases then the value of the other variable decreases.

STEP 2: Interpret the statements in the question tab

[tex]\begin{gathered} x\text{ varies inversely as y} \\ x\propto\frac{1}{y} \end{gathered}[/tex]

STEP 3: Get the constant of variation

[tex]\begin{gathered} x\propto\frac{1}{y} \\ \text{Introducing the constant, we have;} \\ x=k\times\frac{1}{y},x=\frac{k}{y} \\ By\text{ cross multiplication,} \\ x=ky \\ \text{Divide both sides by y} \\ \frac{x}{y}=k \end{gathered}[/tex]

STEP 4: Use the given values to get the equation relating x and y

[tex]\begin{gathered} \frac{x}{y}=k,x=-2,y=3 \\ By\text{ substitution,} \\ \frac{-2}{3}=k \\ k=\frac{-2}{3} \\ \\ \text{The equation relating x and y will be:} \\ x=-\frac{2}{3}y \\ x=\frac{-2y}{3} \end{gathered}[/tex]

Hence, the equation relating x and y is:

[tex]x=\frac{-2y}{3}[/tex]

STEP 5: Find y when x=-1

[tex]\begin{gathered} x=ky \\ \text{Divide both sides by k to get the value of y} \\ y=\frac{x}{k} \\ x=-1,k=-\frac{2}{3} \\ By\text{ substitution,} \\ y=\frac{-1}{\frac{-2}{3}} \\ y=-1\div-\frac{2}{3} \\ y=-1\times\frac{-3}{2}=\frac{-1\times-3}{2} \\ y=\frac{3}{2} \end{gathered}[/tex]

Hence, the value of y when x=-1 is 3/2

The heights, in feet, of 12 trees in a park are shown below.8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47Use the drop-down menus to explain the interquartile range of the data.

Answers

Given:

The heights, in feet, of 12 trees in a park are:

8,11,14,16,17,21,21,24,27,31,43,47.

Required:

To find the interquartile range of the given data.

Explanation:

We have given the heights of 12 trees in feet.

Therefore, the total number of quantitties (elements) in given data is even.

Thus, the median (M) of the data is,

[tex]\begin{gathered} M=\frac{21+21}{2} \\ \Rightarrow M=\frac{42}{2} \\ \Rightarrow M=21 \end{gathered}[/tex]

The median (Q) of the first half of the data 8,11,14,16,17 is given by,

[tex]Q=14[/tex]

since the number of quantities are odd.

The median (Q') of the second half of the data 24,27,31,43,47 is given by,

[tex]Q^{\prime}=31[/tex]

since the number of quantities are odd.

Hence, the interqurtile range (R) is,

[tex]\begin{gathered} R=Q^{\prime}-Q \\ \Rightarrow R=31-14 \\ \Rightarrow R=17 \end{gathered}[/tex]

Final Answer:

The interquartile range is,

[tex]R=17[/tex]

The first option is spread.

The second option is range.

The third option is 17.

The fourth option is middle 50%.

JCPenney sells jeans for $49.50 that cost $38.00. What is the percent markup on cost? Check the cost.

Answers

The percent markup of the jeans is 30.2%

How to calculate the markup on cost ?

The selling price of the jeans is $49.50

The cost price is $38

Markup can be described as the difference between the selling price and the cost price of a product

The markup can be calculated by subtracting the cost price from the selling price

= 49.50 - 38

= 11.5

The percent markup can be calculated as follows

11.5/38 × 100

= 0.302 × 100

= 30.2%

Hence the percent markup is 30.2%

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Which of the following is equivalent to - sin ¹1?A. sin ¹111OB. - sin(-11)OC. sin(-11)D. sinReset Selection

Answers

The correct option is C.

What is the total population of the four cities shown in the table? Express your answer in scientific notation and in standard form.

Answers

Scientific notation is a way of writing large or small numbers that have many digits in a simplified form. The index of the base 10 exponents indicates the number of digits there are after the decimal dot.

The table shows the population of 4 cities of Texas, Houston, San Antonio, El Paso, and Corpus Christi.

To determine the total population of all cities you have to add them together, the first step is to express each given population in standard form:

Houston:

[tex]2.3\cdot10^6[/tex]

This notation indicates that there are 6 digits after the decimal dot, the first one is 3 and the other five digits are zero. The positive index indicates that this number is greater than 1, so to write the number in the standard form you have to erase the decimal dot:

[tex]2.3\cdot10^6=2300000[/tex]

San Antonio:

[tex]1.5\cdot10^6[/tex]

The notation indicates that there are 6 digits after the decimal point, the first one is 5 and the other five digits are zero. The positive exponent indicates that this number is greater than 1, so you have to erase the decimal dot:

[tex]1.5\cdot10^6=1500000[/tex]

El Paso:

This population is already given in the standard form

[tex]680000[/tex]

Corpus Christi:

[tex]3.2\cdot10^5[/tex]

This notation indicates that there are 5 digits after the decimal dot, the first one is 5 and the next four are zero. The exponent is positive, so as mentioned before, this number is greater than one, and to write it in the standard form you have to erase the decimal dot:

[tex]3.2\cdot10^5=320000[/tex]

Now that all values are expressed in the standard form you can add them:

[tex]2300000+1500000+680000+320000=4800000[/tex]

In the standard form, the total population of the four cities is 4,800,000 people

To express this value using scientific notation you have to write the decimal dot after the first digit and then count the number of digits after the decimal dot.

When you use scientific notation you have to write only the digits that are different than zero.

There are 6 digits after the decimal dot, so the exponent of the base 10 number will be 6, and the result expressed in scientific notation is:

[tex]4.8\cdot10^6\text{people}[/tex]

Transforming the graph of a function by reflecting over an axis

Answers

ANSWER:

(a)

(b)

STEP-BY-STEP EXPLANATION:

(a)

We must do the following transformation:

[tex]y=f(x)\rightarrow y=f(-x)[/tex]

In this case, reflects f(x) about the y-axis. The rule that follows the above, is like this:

[tex](x,y)\rightarrow(-x,y)[/tex]

We apply the rule to the points of the function and it would be:

[tex]\begin{gathered} \mleft(-4.2\mright)\rightarrow(4,2) \\ (0,4)\rightarrow(0,4) \\ (4,6)\rightarrow(-4,6) \end{gathered}[/tex]

We graph and we have:

(b)

We must do the following transformation:

[tex]y=g(x)\rightarrow y=-g(x)[/tex]

In this case, reflects f(x) about the x-axis. The rule that follows the above, is like this:

[tex](x,y)\rightarrow(x,-y)[/tex]

We apply the rule to the points of the function and it would be:

[tex]\begin{gathered} \mleft(-7,-2\mright)\rightarrow\mleft(-7,2\mright) \\ \mleft(-4,-5\mright?)\rightarrow\mleft(-4,5\mright) \\ \mleft(4,-1\mright)\rightarrow\mleft(4,1\mright) \end{gathered}[/tex]

We graph and we have:

Find the exact value of sin,cos, and tan for the angle while simplifying all roots.

Answers

We can solve these values using the next triangle:

First, we need to label the sides using the angle of 30 degrees.

- The largest side is always the hypotenuse, h = 1.

- The opposite side is opposite to the angle, opp = 1/2.

- The adjacent side is between the angle of 30 degrees and the right angle,

adj = √3/2.

Now, we can solve the trigonometric expressions:

For sin:

sin θ = opposite side / hypotenuse

sin 30 = (1/2) / 1

sin 30 = 1/2

For cos:

cos θ = adjacent side / hypotenuse

cos 30 = (√3/2)/1

cos 30 =√3/2

For tan:

tan θ = opposite side / adjacent side

tan 30 =(1/2) / (√3/2)

Simplify the fractions:

tan 30 = 1/√3

If an investment grew to $13,500 in 2 years and the interest amount earned was $1,150, calculate the nominal interest rate compounded quarterly.

Answers

The nominal interest rate compounded quarterly is 1.33%.

Given,

If an investment grew to $13,500 in 2 years.

and, the interest amount earned was $1,150.

To find the nominal interest rate compounded quarterly.

What is nominal interest rate?

The interest rate before inflation is referred to as the nominal interest rate.

Nominal can also refer to the advertised or stated interest rate on a loan, excluding any fees or interest compounding.

Now, According to the question:

Here given ,

P = $13500

i = ?

A = $1150

t = 2 yrs

n = 4 x 2 = 8

Formula of compound interest ,

A = P( 1 + I )ⁿ

$1150  = $13500 ( 1 + i ) ⁸

$1150 / $13500 = (1 + i)⁸

0.0851 = (1+ i) ⁸

1 +i = 8√.0851

1 + i = 2.33

i = 2.33 -1

i = 1.33 %

Hence, The nominal interest rate compounded quarterly is 1.33%.

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Todd forgot the first two numbers of his locker combination.The number can be any number 1 through 6. What is the probability that he will guess the first number correctly and the second number incorrectly

Answers

Todd forgot the first two numbers of his locker combination. The number can be any number 1 through 6. What is the probability that he will guess the first number correctly and the second number incorrectly?

______________________________________________

Please, give me some minutes to take over your question

________________________________________

The probability that he will guess the first number correctly and the second number incorrectly

1/6 (the first number correctly)

5/6 (the second number incorrectly)

1/6 * 5/6 = 5/36

_________________________________________

Answer

The probability that he will guess the first number correctly and the second number incorrectly is 5/36 = 0.1389 = 13. 89%.

Use the “complete the square” method to solve the following problemx^2 + 3x + 11 = 0

Answers

[tex]x^2+3x+11=0[/tex][tex](\frac{1}{2}\times3)^2=(+\frac{3}{2})^2[/tex][tex]\begin{gathered} x^2+3x=-11 \\ x^2+3x+(+\frac{3}{2})^2=-11+\frac{9}{4} \\ \\ (x+\frac{3}{2})^2=-\frac{35}{4} \\ \\ x+\frac{3}{2}=\sqrt{\frac{-35}{4}} \\ \\ x+\frac{3}{2}=\pm\frac{\sqrt{35}}{2}i \\ \\ x=\frac{-3}{2}\pm\frac{\sqrt{35}}{2}i \end{gathered}[/tex]

The answers are

[tex]x=\frac{-3}{2}+\frac{i\sqrt{35}}{2},\text{ }x=\frac{-3}{2}-\frac{i\sqrt{35}}{2}[/tex]

Joyce paid $154.00 for an item at the store that was 30 percent off the original price. What was the original price?​

Answers

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8x +1312x + 7X == [?]Enter

Answers

The two angles given in the problem lie the opposite of each other with respect to the transversal line. This means that these two angles are supplementary angles. The sum of the two angles will be equal to 180 degrees, hence, we can set up an equation solving for x. We have

[tex]8x+13+12x+7=180[/tex]

Solve for x, we have

[tex]\begin{gathered} 20x+20=180 \\ 20x=180-20 \\ \frac{20x}{20}=\frac{160}{20} \\ x=8 \end{gathered}[/tex]

The value of x

2. Simba pays $15 per month
for the phone he bought. His cell phone plan costs $49
per month and includes 15GB of
data. He also pays $5 for each additional 1GB
of data he uses over the 15GB limit. Using x to represent the GB of data
he uses over 15 GB, write an equation to represent Simba's monthly cell
phone bill and determine how much he will pay if one month he uses
23GB of data.

Answers

The equation can be given as B=64+5x

And the cost of phone bill if he uses 23GB will $104

What is an linear equation is one variable?

An linear equation is an equation of degree one. the highest exponent is 1 and one variable is number of variable is 1 in the equation

We are given that, Simba pays $15 per month for the phone he bought. His cell phone plan costs $49 per month.

He pay additional $5 for 1 gb data after 15gb data limit got over

Let the number of gb's used be x

Hence the total bill will be given by the equation

B= 15+49+5x

B= 64+5x

If he uses 23 gb of data the first 15 Gb are covered in his phone plan

And he has to pay $5 for each gb

The total cost is 8*5=$40

Hence the total phone bill is B=64+40

B=$104

Hence the equation can be given as B=64+5x

And the cost of phone bill if he uses 23GB will $104

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Simplify 3√12 +8✓12 - √6 how

Answers

In order to simplify this equation, we are going to start by simplifying the radicals.

[tex]\sqrt[]{12}=\sqrt[]{2^2\cdot3}=\text{2}\sqrt[]{3}[/tex]

Now we have the radicals simplified and we are going to replace them on the equation that we already have.

[tex]\begin{gathered} 3\cdot(2\sqrt[]{3})+8\cdot(2\sqrt[]{3})-\sqrt[]{6} \\ 6\sqrt[]{3}+16\sqrt[]{3}-\sqrt[]{6} \\ 22\sqrt[]{3}-\sqrt[]{6} \end{gathered}[/tex]

find the explict formula for 15, 12, 9, 6

Answers

Given:

15, 12, 9, 6

To write the explicit formula, use the form:

[tex]a_n=a_1+d(n-1)[/tex]

Where

a1 = first term = 15

d = common difference = 12 - 15 = -3

n = number of terms

Therefore, the explicit formula is:

[tex]\begin{gathered} a_n=15-3(n-1) \\ \\ a_n=15-3n+3 \\ \\ a_n=18-3n \end{gathered}[/tex]

ANSWER:

[tex]a_n=18-3n[/tex]

Find f such that the given conditions are satisfied. f(x)=x2-3x + 12, f(0) = 9 O f(x) = 1x2 - 4x² + 12x +9 O O f(x) - x-x2 + 12x + 1 f(x) = 3x3-4x2 + 12x + 1 O f(x) = 3x - x? + 12x + 9

Answers

To find f(x) we will do an integration

[tex]\begin{gathered} f^{\prime}(x)=x^2-3x+12\text{ } \\ f(x)=\int (x^2-3x+12) \end{gathered}[/tex][tex]\int (x^2-3x+12)=\frac{x^3}{3}-\frac{3x^2}{2}+12x+c[/tex]

To find c substitute x by 0 and y by 9 because f(0) = 9

[tex]\begin{gathered} f(x)=\frac{1}{3}x^3-\frac{3}{2}x^2+12x+c \\ f(0)=\frac{1}{3}(0)^3-\frac{3}{2}(0)^2+12(0)+c=9 \\ c=9 \end{gathered}[/tex]

The function f(x) is

[tex]f(x)=\frac{1}{3}x^3-\frac{3}{2}x^2+12x+9[/tex]

Answer D

You have the option of loaning money to one friend who promises to pay simple interest or to another friend who promises to pay the same APR but compound the interest. Which would you choose, and why?

Answers

Answer:

I would loan my money to the one who pays the compound interest.

This is because more money would be generated from the compound interest as it is based on the principal (Amount loaned) and also the interest generated from the loan. Unlike simple interest that is only based on the principal.

Other Questions
sonja is a product manager for a line of consumer cosmetic products and is introducing a new product. she set the retail price at $35.50 with wholesale margins of 15% and retail margins of 40%. how much will sonja's company receive per unit under these terms? A nutrition facts label lists total fat as 10 grams and saturated fat as 4 grams. How many calories does fat provide?. the number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. (these values are typical of much of the united states.) the national lightning detection network uses automatic sensors to watch for lightning in a sample of 25 randomly chosen square kilometers. what are the mean and standard deviation of the mean number of strikes per square kilometer? Define network architecture?short answer please 15. Given f (n)=3( 12), what is the value off (8) ? an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 280280 engines and the mean pressure was 6.86.8 lbs/square inch. assume the standard deviation is known to be 0.90.9. if the valve was designed to produce a mean pressure of 6.76.7 lbs/square inch, is there sufficient evidence at the 0.050.05 level that the valve does not perform to the specifications? state the null and alternative hypotheses for the above scenario f(x)=|x+3| vertical stretch by factor of 4 What was true about the Red Summer of 1919?A. African Americans came to believe that integration with whiteswas possible.OB. White reformers and social workers prevented violence againstAfrican Americans.C. Racial violence and riots occurred in cities across America.D. African Americans gained the ability to buy houses in whiteneighborhoods. if a firm with market power maximizes profit by producing at the unit elastic point on the demand curve, then a. it has no direct competitors. b. its marginal cost must be zero at the profit-maximizing level of output. c. demand must be perfectly elastic. d. it cannot be in long-run equilibrium. what is the area of the Shaded region used 3.14 I need am needing help making 5 note cards for my speech. I can not just read it word for word I just need to summarize it on 5 note cards. I also have to make sure that I cite at least 3 credible sources during my speech as well. My speech has to be between 5-9 minutes long. Can someone help me make my note cards? My paper is attached to go off of. claude bouchard found that identical twins have similar weights regardless of whether they are raised together or apart. this study provides evidence for the idea that: a manager who takes credit for the work his/her employees perform without giving credit to the person(s) who actually did the work is acting in a(n) manner. (100 points) analyze the provided network traffic files for a tcp connection and answer the following questions. one of the files is for the traffic with tcp cubic, and another for the traffic with tcp reno used as congestion control protocols. a. list all tcp options used by both end hosts. b. determine the minimum number of duplicate acks received before fast retransmits are triggered. c. when consecutive retransmissions are done with no other intervening packets from the same flow, what is the increase in the rto? d. what is the throughput (application data bytes/second) with each congestion control? explain why one is faster than the other. What is the inequality shown? -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 O 5 6 7 8 9 n Who did Jefferson appoint to explore the western territory he purchased from FranceASAP PLEASEEE WALLS POEM: Consider the themes presented in both "Invisibility" and "Now and ThenAmerica." Both poems address the struggle of fitting in, feeling both within and withoutAmerican culture and being denied membership even as members of American societybecause they are different. Growing up is difficult for anyone, but when you're different, itseems those trials are only exacerbated. Think about the social, economic, emotional,religious, cultural or other symbolic barriers that exist in your life, community, or world.What effects do such barriers have? Wax your ideas into a Walls poem. It does not need torhyme. Create an artistic rendering of a wall or barrier you face (physical, psychological,cultural, or emotional) through your poem. TWELVE LINES MINIMUM! How many atoms total are found in 4C2H6 the value of psi in root tissue of a plant has been found to be 4.6 bars. if you place this root tissue in a 0.2m sucrose solution at 20 c in an open beaker. what is the psi of the solution? which direction will the net flow of water be? 1. A coat at the Utopian Coat factory cost $99.99. The sales tax is 7%. Find the sales tax and the total cost of the jacket. (Round to the nearest cent).