4.

Find the area of the shaded region.


A. 5x2 + 16x – 21

B. 7x2 + 28x + 27

C. 5x2 + 28x + 27

D. 5x2 + 28x + 21

Answer:

The son is 10, and the father is 50.

Step-by-step explanation:

10 times 5 would be 50, and 50+10 is 60.

Answer:

Father: 50

Son: 10

Step-by-step explanation:

Son's age: S

Father's age: F

F=5S

F+S=60.

Substitute.

5S+S=60

6S=60

S=10

F=50. As a check, 10+50=60 and 50/5=10.

Hope this was helpful.

~cloud

Answer:

quadratic equation

Step-by-step explanation:

Answer:

the equation shown here is a quadratic equation

Answer:

48in^2

Step-by-step explanation:

The area of a triangle is calculated by the formula A= b*h1/2. Substitute b for 24, h for 4, and solve.

Answer:

It would be 4 quarts.

Step-by-step explanation:

The answer is 2 quarts

Answer: The runner will sprint 4,200 inches during this week

Step-by-step explanation:

50 * 7 = 350

350 * 12 = 4200

Answer:

It's 4200in

in feets its 350ft

Step-by-step explanation:

The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y

The function is given as:

[tex]g(x) = 2^x[/tex]

When compressed horizontally by a factor of 1/2, the transformation rule is:

g'(x) = g(2x)

So, we have:

[tex]g(2x) = 2^{2x}[/tex]

[tex]g(2x) = 4^x[/tex]

When reflected across the x-axis, the transformation rule is:

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

So, we have:

[tex]f(x) = -4^x[/tex]

The graph represented by this is graph Y.

Hence, the graph of the transformation is graph Y

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Answer:

exponential

Step-by-step explanation:

since the rate of our population growth is relative to the amount of people already on our planet, the numbers will grow exponentially

Answer: exponential

Step-by-step explanation: exponential function don’t grow at a constant rate, like the world population

Answer:

The point estimate is 0.88

Step-by-step explanation:

Given

[tex]n = 2000[/tex] -- sample size

[tex]x = 1760[/tex] -- adults who think future health of social security is a major economic concerm

Required

Determine the point estimate

This is calculated as:

[tex]\hat p= \frac{x}{n}[/tex]

[tex]\hat p= \frac{1760}{2000}[/tex]

[tex]\hat p = 0.88[/tex]

The point estimate is 0.88

Answer:

I cannot see the picture

Step-by-step explanation:

1. to find angle x:

angles on a straight line add to 180º : 180-92º = 88º

to find angle y:

exterior angle equals opposite interior angles: 88+22=110º

2. to find angle x:

angles on a straight line add to 180º : 180-118 = 62º

to find angle y:

exterior angle equals opposite interior angles: 62+52 = 114º

sorry if i got any of the angles wrong, the picture was a bit blurry and I couldn't tell that well, let me know if i got it wrong and i'll fix it

Answer:

19/15

Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.

Answer:

Yes, 700 yards bigger than 2000 feet because 700 yards = 2100 feet

Step-by-step explanation:

There are 3 feet in a yard, so that means we need to multiply 700 yards by 3 to get the number of feet there are in 700 yards.

700 yards × 3 feet = 2100 feet

700 yards = 2100 feet

2100 feet > 2000 feet

Answer:

Yes!

Step-by-step explanation:

700 yards is equal to 2100 feet, making it 100 feet longer.

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + 6x² - 3x²   - 8x - 9x + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

Answer:

4

Step-by-step explanation:

From the above question:

1/4 cup of sand = 1 sand art

1 cup of sand = x

Cross Multiply

x × 1/4 cup of sand = 1 cup of sand × 1 sand art

x = 1 cup of sand × 1 sand art/1/4 cup of sand

x = 1 ÷ 1/4

x = 1 × 4

x = 4 pieces sand art

Therefore, Duncan can make 4 pieces of sand art.

Answer:

Volume = 525 in³

Step-by-step explanation:

Volume = 25 x 7 x 6 x 0.5 = 525 in³

Answer:

3418148194765097900

Step-by-step explanation:

Just multiplied

have a great day!

Answer:

1/11

Step-by-step explanation:

(6, 4) and (-5, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-4)/(-5-6)

m= (-1)/(-11)

m = 1/11

Answer:

volume=1yd x 1yd = q cubic yard

Answer:

[tex] {x}^{3} {y}^{3} [/tex]

Step-by-step explanation:

Given,

Width of the rectangular prism

= x

Length of the rectangular prism

[tex] = {x}^{2} y[/tex]

Height of the rectangular prism

[tex] = {y}^{2} [/tex]

Therefore,

Volume of the rectangular prism

= Width × Length × Height

[tex] = x \times {x}^{2} y \times {y}^{2} [/tex]

[tex] = {x}^{3} {y}^{3} [/tex]

Hence,

The required volume of the rectangular prism is

Option J:

[tex] {x}^{3} {y}^{3} [/tex]

Answer:

a=-2

Step-by-step explanation:

3a−6=−12

Step 1: Add 6 to both sides.

3a−6+6=−12+6

3a=−6

Step 2: Divide both sides by 3.

3a/ 3 = −6/ 3

a=−2

Answer:

$6,100

Step-by-step explanation:

So to solve this problem, let's give the amount of money the variable "x". We just need to do x - 0.043 × x. Then we replace x with our answer and repeat the process 13 more times.

Answer:

$6200

Step-by-step explanation:

Answer:

Your answers are correct

Step-by-step explanation:

Answer:

The answer given is incorrect

The correct answer is Rs. 3640

The total cost of the paper required to cover one-half of the wooden cone is Rs. 3846.5.

The surface area of a cone is given by the formula:

surface area = π x r x s

where r is the radius of the base of the cone and s is the slant height of the cone. The slant height of the cone is the distance from the apex of the cone to the base, measured along the surface of the cone.

In this case, the diameter of the base of the cone is 14 cm, so the radius is half the diameter or 14 cm / 2 = 7 cm.

The vertical length of the cone is 24 cm, so the slant height of the cone is the square root of the vertical length squared plus the radius squared:

s = √(24² + 7²)

s = √(576 + 49)

s = √(625)

Which simplifies to:

s = 25 cm

Now that we have the radius and slant height of the cone, we can use the formula for the surface area of a cone to find the surface area of one-half of the cone:

surface area = π x 7 cm x 25 cm = 175π cm²

To find the total cost of the paper required, we need to multiply the surface area by the cost per square centimeter:

total cost = 175 x 3.14 cm² x  Rs.7/cm² = Rs. 3846.5

Therefore, the cost of the paper needed to cover one-half of the wooden cone is Rs. 3846.5.

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Answer:

One point would be on (0,0) and the other on (1,-5)

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]

Answer:

The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.

Step-by-step explanation:

The value of the interest rate and the compounding applied, gives the

value in the account after one year.

Reasons:

The amount Joseph receives as gift, A₀ = $12,000

Amount interest from Partner's Savings Bank, r = 3% compounded semiannually

Interest rate offered by Selwyn's, r = 2.75% compounded continuously

Required:

The value of the two account at the end of one year.

Solution:

[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]

The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;

[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]

The value of an account at Selwyn's is therefore;

The interest rate compounded continuously is presented as follows;

[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]

A₀ = The original amount invested = $12,000

Which gives;

[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]

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Answer:   It is 3.>9

Step-by-step explanation:

because i dont know

Answer:

a

Step-by-step explanation: