HELP!!!! I NEED HELP WITH THIS.

HELP!!!! I NEED HELP WITH THIS.

Answers

Answer 1

Answer:

[tex]\large\boxed{A=x^2+23x+49}[/tex]

Step-by-step explanation:

Subtract the area of a square (x + 1) × (x + 1)

from the area of a rectangle (x + 10) × (2x + 5)

The area of a square:

[tex]A_s=(x+1)(x+1)[/tex]            use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex]A_s=(x)(x)+(x)(1)+(1)(x)+(1)(1)=x^2+x+x+1=x^2+2x+1[/tex]

The area of a rectangle:

[tex]A_r=(x+10)(2x+5)[/tex]              use FOIL

[tex]A_r=(x)(2x)+(x)(5)+(10)(2x)+(10)(5)=2x^2+5x+20x+50=2x^2+25x+50[/tex]

The area of a figure:

[tex]A=A_r-A_s[/tex]

Substitute:

[tex]A=(2x^2+25x+50)-(x^2+2x+1)=2x^2+25x+50-x^2-2x-1[/tex]

combine like terms

[tex]A=(2x^2-x^2)+(25x-2x)+(50-1)=x^2+23x+49[/tex]


Related Questions

You roll a die and flip three coins. The number of possible outcomes in the sample space is.

Answers

Answer:

48

Step-by-step explanation:

We assume that the die and coins are non-bias.

If you roll a die once, you have 6 possible outcomes (anything from 1-6).

If you flip 3 coins once, you have 2 possible outcomes for each coin (either heads or tails). Multiply those 3 possibilities (2x2x2), you get 8.

Multiply 8 with 6, and you get 48 possible outcomes in sample space.

*In the sample space shown below, do the same combinations to all roll die outcomes to get the whole sample space (i.e., 2TTT, 3TTT, 4TTT etc.).

Carla has two lengths of ribbon. One ribbon is 2 feet long. The other ribbon is 30 inches long. Which length of ribbon is longer?

Answers

Answer:

The length of 30 inches is longer

Step-by-step explanation:

we know that

[tex]1\ ft=12\ in[/tex]

Convert the length to inches

[tex]2\ ft=2(12)=24\ in[/tex]

therefore

[tex]30\ in>24\ in[/tex] ------> [tex]30\ in>2\ ft[/tex]

The length of 30 inches is longer

Determine the relationship between the quantities of the given graph.

Answers

D

The time worked is directly proportional to the wages. This means as the wages increase, the hours of work increases.

Line A is represented by the equation given below: x + y = 3 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? 3x + 3y = 3 3x + y = 3 x + y = 9 3x + 3y = 9

Answers

Answer:

  3x + 3y = 9

Step-by-step explanation:

Multiplying the given equation by 3 gives you ...

  3(x + y) = 3(3)

  3x + 3y = 9 . . . . . . matches the last choice

This is an equation for the same line as the given equation, so the lines will have infinitely many points in common (infinitely many solutions).

Answer:

3x + 3y = 9

Step-by-step explanation:

Equivalent expression

Answers

Answer:

The answer is C. 9^-2

Step-by-step explanation:

Don’t know but not the first one

IF QR IS TANGENT TO O, FIND X.

Answers

[tex] \tan(60°) = \frac{x}{OR} \\ \Leftrightarrow x = OR \tan(60°) = OP \sqrt{3} = 12 \sqrt{3} [/tex]

Type the correct answer in the box

Answers

Answer:

[tex]w=V/(lh)[/tex]

Step-by-step explanation:

Let

l------> the length of the base of the prism

w------> the width of the base of the prism

h------> the height of the prism

we know that

The volume of the prism is equal to

[tex]V=lwh[/tex]

Solve for w

That means-------> isolate the variable w

so

Divide both sides by (lh)

[tex]V/(lh)=lwh/(lh)[/tex]

Simplify

[tex]w=V/(lh)[/tex]

Consider the equation 5 + x = n. What must be true about any value of x if n is a negative number? Explain your answer. Include an example with numbers to support your explanation.

Answers

Answer:

x < 5

Step-by-step explanation:

Any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be LESS than 5 only.

Answer:

Step-by-step explanation:

Please people
Find the function h(x) = f(x) ∘ g(x) if f(x) = x(2 - x) and g(x) = 3^x.


A. h(x) = 0

B. h(x) = -3^2x

C. h(x) = 2(3^2x)

D. h(x) = 3^x (2 - 3^x)

Answers

Answer:

D

Step-by-step explanation:

Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost. The expression f(x) ∘ g(x) means f(g(x)).

Let f(x) = x(2 - x) and g(x) = 3^x.

Begin by substituting g(x) in for x in f(x).

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

The solution is D.

If you were to create a histogram from the data shown in this stem-and-leaf plot, how many data points would be contained in the bar from 95-105?

A) 3
B) 4
C) 5
D) 6

Answers

Answer:

the answer is A, 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Stem Leaf Plot : A special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

So, In the Given Stem leaf plot the numbers are :

100,101,90,93,94,94,95,81,86,87,89,70,72,76,69,56,58,49

Arrange in ascending order

49,56,58,69,70,72,76,81,86,87,89,90,93,94,94,95,100,101

Now we are supposed to find how many data points would be contained in the bar from 95-105

49,56,58,69,70,72,76,81,86,87,89,90,93,94,94,95,100,101

So, we can see there are 3 data points are contained in bar from 95 -105.

Hence 3 data points are contained in bar from 95 -105.

What's the sum of −62 and its opposite?

Answers

The sum of any negative number and its opposite is 0. So your answer is 0.

The sum of any negative number and its opposite is equal to 0.

Simplify 13 2
the 2 is tiny so I think it's 13 to the power of 2

Answers

Answer: 169

Step-by-step explanation:

You just multiply 13 by 13

When simplifying 13 to the power of 2, you multiply 13 by itself, resulting in 13 x 13, which equals 169. This is known as squaring a number.

The question you've asked involves exponents, which is a way to express repeated multiplication of the same number. When you write 13 with a tiny 2 next to it, you're indicating that 13 should be multiplied by itself once, which is what squaring a number means. In other words, 13 to the power of 2 is 132, which is 13 × 13.

Let's simplify 132:

Multiply 13 by itself: 13 × 13.Calculate the product: 169.

So, 132 equals 169. This process is using an integer power, which involves multiplying the base (in this case, 13) by itself as many times as indicated by the exponent (in this case, 2). This can apply to any number, where for example 53 (5 cubed) equals 5 × 5 × 5, which is 125.

What is 32% of 82 ?????????????????????????/

Answers

Answer: 26.24

32% of 82

0.32 • 82 = 26.24

A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 20° 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30'. The distance between the two athletic complexes is 4 miles.

What is the distance from the balloon to the football field?

Answers

Answer:

The answer is 1.4 miles ⇒ answer (d)

Step-by-step explanation:

* Let the balloon is at the vertex A, and the soccer fields

  at vertex B and the football field at vertex C

∴ m∠B = 20° 15' = 20.25°

∴ m∠C = 62° 30' = 62.5°

∴ m∠A = 180 - 20.25 - 62.5 = 97.25°

∵ BC = 4 miles

* By using the sin Rule:

∵ AC/sin(B) = BC/sin(A)

∴ AC = (BC)(sinB)/sin(A)

∴ AC = [4 × sin(20.25)] ÷ sin(97.25) = 1.395 ≅ 1.4 miles

∴ The distance from the balloon to the football filed = 1.4 miles

Answer:

1.4

Step-by-step explanation:

What is the solution set?

Answers

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[̲̅T̲̅][̲̅h̲̅][̲̅e̲̅]

[̲̅A̲̅][̲̅t̲̅][̲̅t̲̅][̲̅a̲̅][̲̅c̲̅][̲̅h̲̅][̲̅m̲̅][̲̅e̲̅][̲̅n̲̅][̲̅t̲̅] ❣

❣❣... ℏ✺℘ḙ !т ℏḙℓ℘ṧ ʏ✺ṳ...❣❣

Answer:

The possible solution that is obtained from the system of equation are:

(1,3) and (6,13)

Step-by-step explanation:

We are asked to find the solution set of the given system of equation as:

[tex]y=x^2-5x+7-----------(1)[/tex]

and [tex]y=2x+1--------(2)[/tex]

We know that the solution of the system of equations is the possible set of x and y-values that satisfy both the equations.

Or we may say the point of intersection of the graph that is obtained from both the equations.

We solve the system by substitution method as:

We put the value of y from equation (1) in equation (2) to obtain:

[tex]x^2-5x+7=2x+1[/tex]

which is further written by combining the like terms as:

[tex]x^2-5x-2x+7-1=0\\\\x^2-7x+6=0\\\\x^2-6x-x+6=0\\\\x(x-6)-1(x-6)\\\\(x-1)(x-6)=0[/tex]

Hence, we get the possible values of x as:

x=1   and x=6

Also the value of y when x=1 is:

   y=2×1+1=2+1  ( Putting the value of x in equation (2))

         y=3

when x=6 we have the value of y as:

          y=2×6+1

             y=13

Hence, the possible solutions are:

(1,3) and (6,13)

A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side c is 3 m longer than side b. Find the length of each side.

Answers

We know that perimeter of the triangle its a+b+c=25

a=2b-2

b=b

c=b+3

Now we can substitute it into the formula

2b-2+b+b+3=25

4b+1=25          /-1

4b=24             /:4

b=6 - its b side

a=2*6-2

a=12-2=10 - its a side

c=6+3=9 - its c side

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│Hope this helped  _____________________│    

│~Xxxtentaction _______________________│

╩__________________________________╩          

HELP URGENT 20 PTS!!!! Describe how to sketch a normal curve with a mean of 50 and a standard deviation of 2. Indicate how you would label the horizontal axis at 1, 2, and 3 standard deviations from the mean

Answers

Answer:

Step-by-step explanation:

Draw a generic normal curve.  Subdivide the x-axis on each side of the center (mean) into four approx. = parts.

Label the mean with '50.'

1 std. dev. below the mean would be 50-2 = 48;

2 std. dev.                             would be 48-2= 46, and

3 std dev.                               would be 46 - 2 = 44

Do the same on the other side of the mean.  

The 3 corresponding values will be 52, 54 and 56.

In the below system, solve for y in the first equation. x − 3y = −6 2x − 7y = 10

Answers

Answer:

[tex]y=\frac{1}{3}x+2[/tex]

Step-by-step explanation:

The given system of equation is;

[tex]x-3y=-6...(1)[/tex]

and

[tex]2x-7y=10...(2)[/tex]

To solve for y in the first equation; we add [tex]-x[/tex] to both sides.

[tex]-3y=-6-x[/tex]

We now divide through by -3;

This implies that;

[tex]y=\frac{1}{3}x+2[/tex]

Can someone help me please I’m struggling so much. let me know if the things that I put already are right

Answers

your calculations for volume (pi x r^2 × h) and surface area (2 × pi × r (h+r)) are correct. However your ratio are incorrect. From the formulas the ratio of surface area to volume would be r×h:2(h+r)

In the space below, provide the larger of the two positive integers that add to 10 and have the largest possible product.

Answers

Answer:

  5

Step-by-step explanation:

The integers 5 and 5 sum to 10 and have the largest possible product.

___

The two numbers will be x and (10-x). Their product is x(10-x), which describes a downward-opening parabola with zeros at x=0 and x=10. The maximum (vertex) of that parabola is halfway between the zeros, at x=5. Both integers have the same value: 5. Their product is 25.

If there is a requirement the integers be distinct, then 6 and 4 are the integers of choice. Their product is 24.

samantha purchased an automobile for 4,200. her state charged 4% tax for the car, $47 for the license plate, and $35 for the state safety and emission inspection. how much does samantha need to pay for the extra charges , not including the price of the car

Answers

The amount that need to be pay is $250.

The calculation is as follows;

= 4% of 4,200 + $47 + $35

= $168 + $47 + $35

= $250

Learn more: https://brainly.com/question/26115859?referrer=searchResults

Final answer:

Samantha needs to pay a total of $250 in extra charges, which includes $168 for the state tax, $47 for the license plate, and $35 for the state safety and emission inspection.

Explanation:Calculation of Extra Charges for Automobile Purchase

To determine how much Samantha needs to pay in extra charges for her automobile purchase, we need to calculate each component separately and then sum them up. Firstly, we calculate the state tax by multiplying the purchase price by the tax percentage:

Tax = Purchase Price × Tax Rate

Tax = $4,200 × 0.04 = $168

Next, we add the fixed costs for the license plate and state safety and emission inspection:

Total Extra Charges = Tax + License Plate Fee + Inspection Fee

Total Extra Charges = $168 + $47 + $35 = $250

Therefore, Samantha needs to pay $250 in extra charges, not including the price of the car.

What is the simplest form of the radical expression 3 sqrt 24 - 2 sqrt 54 + 2 sqrt 18

Please show all of your work.

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

we have

[tex]3\sqrt{24} -2\sqrt{54}+2\sqrt{18}[/tex]

we know that

[tex]\sqrt{24}=\sqrt{2^{3}3}=2\sqrt{6}[/tex]

[tex]\sqrt{54}=\sqrt{3^{3}2}=3\sqrt{6}[/tex]

[tex]\sqrt{18}=\sqrt{3^{2}2}=3\sqrt{2}[/tex]

Substitute

[tex]3(2\sqrt{6}) -2(3\sqrt{6})+2(3\sqrt{2})[/tex]

[tex](6\sqrt{6}) -(6\sqrt{6})+(6\sqrt{2})[/tex]

[tex]6\sqrt{2}[/tex]

Final answer:

When simplifying the square roots in the expression 3sqrt(24) - 2sqrt(54) + 2sqrt(18), we find that the simplified solution is 6sqrt(2).

Explanation:

To simplify the radical expression 3 sqrt 24 - 2 sqrt 54 + 2 sqrt 18, we first need to break down each square root into its simplest form. In order to do this, we look for perfect-square factors (numbers like 4, 9, 16, 25 that have an integer as a square root) within each number:

3sqrt(24) = 3sqrt(4*6) = 6sqrt(6)

2sqrt(54) = 2sqrt(9*6) = 6sqrt(6)

2sqrt(18) = 2sqrt(9*2) = 6sqrt(2)

Because the sqrt(6) terms are like terms we can combine those, and then include the sqrt(2) term:

6sqrt(6) - 6sqrt(6) + 6sqrt(2) = 6sqrt(2).

Learn more about Radical Expression here:

https://brainly.com/question/35538839

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What is the total surface area of this square pyramid?

Answers

Answer:

The total surface area of this square pyramid is [tex]297\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to

[tex]SA=b^{2} +4[\frac{1}{2}(b)(h)][/tex]

we have

[tex]b=9\ mm[/tex] ----> the length side of the square base

[tex]h=12\ mm[/tex] ----> the height of the triangular faces

substitute the values

[tex]SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}[/tex]

A bag of flour weighs 15 pounds. A shopkeeper has one bag of flour. She sells 1.065 pounds of flour every day. How much flour is left after 8 days?

Answers

1 bag = 15 p
1.065p each day

7 days = 1.065 * 7= 7.45
15-7.45=7.54

Identify the graph of the equation. What is the angle of rotation for the equation?

xy=-2.5

Answers

Answer:

It is B. hyperbola, 45 degrees.

SteIt is p-by-step explanation:

If we rotate the standard form  x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.

xy = -2.5 comes from x^2 - y^2 = -5  being rotated 45 degrees.

Answer:

The correct option is b

Step-by-step explanation:

The given equation is

[tex]xy=-2.5[/tex]

It can be written as

[tex]xy+2.5=0[/tex]              .... (1)

The general forms of conic is

[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]             .... (2)

From (1) and (2), we get

[tex]A=0,B=1,C=0,D=0,E=0,E=2.5[/tex]

[tex]B^2-4AC=1-4(0)(0)=1>0[/tex]

Since the value of B²- 4AC > 0, then it is hyperbola.

The formula form angle of rotation is

[tex]\tan 2\theta=\frac{B}{A-C}[/tex]

[tex]\tan 2\theta=\frac{1}{0-0}[/tex]

[tex]\tan 2\theta=\infty[/tex]

[tex]\tan 2\theta=\tan (90^{\circ})[/tex]

[tex]2\theta=90^{\circ}[/tex]

[tex]\theta=45^{\circ}[/tex]

The angle of rotation is 45°. Therefore the correct option is b.

The diameter of kitty's bicycle wheel is 24 inches what is the radius of the wheel

Answers

Diameter is the distance all the way across a circle (going through the center), and radius is the distance from the center to the edge. This means that the radius is always half of the diameter. If the diameter is 24, the radius is 24/2 = 12 inches.

Answer:

12

Step-by-step explanation:

it would be half of 24 which is half of the wheel

Wendy can ride her bike 0.7 miles in 6 minutes how many miles can she ride in 2.5 hours

Answers

Wendy can ride 17.5 miles in 2.5 hours

Answer:

17.5 miles

Step-by-step explanation:

[tex]\frac{miles}{min} = \frac{miles}{min} \\\\\\[/tex]

Convert hours to minutes

60 minutes = 1 hour

[tex]2.5*60=150[/tex]

2.5 hours = 150 minutes

[tex]\frac{0.7}{6} = \frac{x}{150} \\\\\\[/tex]

Cross multiply

[tex]0.7*150=6*x\\105=6x\\\frac{105}{6} =x\\17.5=x[/tex]

The sum of two numbers is 60. One number is four times as larger as the other. What are the numbers

Answers

The sum of two numbers is 60

The answer is

40 and 20

Phil is 23 years older than Keith. In two years Phil will be twice as old as Keith will be. How old is Keith in years?

Answers

Answer:

44 years old

Step-by-step explanation:

The deifference between their ages is always the same. So 23x2=46

but that is in 2 years so we -2 from 46 =44

Answer:

44

Step-by-step explanation:

A company manufactures cell phones. In August, a random sample of 125 cell phones was inspected, and 3 phones were found to be defective. The company manufactured 8,000 cell phones in August. Based on the results from the sample, about how many cell phones are expected to be defective?

Answers

Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

[tex]\dfrac{x}{8000}=\dfrac{3}{125}[/tex]

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

[tex]x=\dfrac{3}{125}(8000)[/tex]

[tex]x=0.024(8000)[/tex]

[tex]x=192[/tex]

So around 192 cell phones are expected to be defective out of 8000 phones.

Answer:

192

Step-by-step explanation:

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