Somebody please help!!

Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

What is the difference between simple and compound interests?

Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The complete question is given below.

Given,

  The principal amount deposited by both Jack and Carlie  P = $17,250

The rate of interest r = 6% = 0.06

The time period = 6.5

Jack's account earns annual simple interest and Carlie's account earns annual compound interest.

So the amount in each person's account after a time period of t = 6 years.

Jack:

Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460

Carlie:

number of times compounded in a year n = 1

Amount = \(P(1 + \frac{r}{n})^{nt}\) = 17250 ( 1+0.06)⁶ = $24,469.45

Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

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Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

Answer:

UM hello how are you im njot really gonna answer anywaysss byee

Answer:it’s the second option

Step-by-step explanation:

The answer is y=1/4x-3/4

Answer:

B

Step-by-step explanation: EDG 2020-2021

To evaluate the surface integral ∬S F⋅ds using the Divergence Theorem, where F(x, y, z) = (x, y, z) and S is a closed surface, we can use the relationship between a surface integral and a volume integral

The Divergence Theorem states that the surface integral of a vector field F over a closed surface S is equal to the triple integral of the divergence of F over the volume V enclosed by S. In this case, we want to evaluate the surface integral over the closed surface S.

To apply the Divergence Theorem, we first calculate the divergence of F, which involves taking the partial derivatives of the components of F with respect to x, y, and z and summing them. The divergence of F is ∇⋅F = 1 + 1 + 1 = 3. Next, we determine the volume V enclosed by the closed surface S. Since the surface S is not specified in the prompt, we cannot determine the exact volume V and proceed with the calculation.

Finally, we evaluate the triple integral of the divergence of F over the volume V. However, without information about the surface S or the volume V, we cannot compute the numerical value of the surface integral using the Divergence Theorem.

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Therefore, the function f(x) is given by: f(x) = -x ln|24x - 12x^2| + 14x + 6.

To find the function f(x) given f''(x) = -2/(24x - 12x^2), f(0) = 6, and f'(0) = 14, we need to integrate f''(x) twice and apply the initial conditions.

First, integrate f''(x) with respect to x to find f'(x):

∫(-2/(24x - 12x^2)) dx = -ln|24x - 12x^2| + C1,

where C1 is the constant of integration.

Next, integrate f'(x) with respect to x to find f(x):

∫(-ln|24x - 12x^2| + C1) dx = -x ln|24x - 12x^2| + C1x + C2,

where C2 is the constant of integration.

Now, we can apply the initial conditions:

f(0) = 6, so we substitute x = 0 into the equation:

-0 ln|24(0) - 12(0)^2| + C1(0) + C2 = 6,

C2 = 6.

f'(0) = 14, so we substitute x = 0 into the derivative equation:

-ln|24(0) - 12(0)^2| + C1 = 14,

C1 = 14.

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The dimensions of the rectangle are width = 4.5 cm and length = 7.5 cm.

Let's define the width of the rectangle as 'w' cm. According to the problem, the length of the rectangle is 3 cm greater than its width, so the length would be 'w + 3' cm.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, we have two equal sides (width) and two equal sides (length). So, the perimeter formula can be written as:

Perimeter = 2 * (length + width)

Substituting the values from the problem into the equation, we get:

24 = 2 * (w + w + 3)

Now we can solve this equation to find the value of 'w':

24 = 2 * (2w + 3)

Divide both sides of the equation by 2:

12 = 2w + 3

Subtract 3 from both sides:

9 = 2w

Divide both sides by 2:

4.5 = w

So, the width of the rectangle is 4.5 cm. To find the length, we substitute this value back into the expression for the length:

Length = w + 3 = 4.5 + 3 = 7.5 cm

Therefore, the dimensions of the rectangle are width = 4.5 cm and length = 7.5 cm.

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Answer:

a. 3 heures

b. 3 km

Step-by-step explanation:

a. Pour parcourir 18 km, un randonneur met 18 km / 6 km/h = 3 heures.

b. Pour parcourir une distance en 30 minutes, la vitesse est de 18 km / 3 heures = 6 km/h, donc la distance parcourue en 30 minutes est 6 km/h * 30 min / 60 min = 3 km.

Answer:

Yes because the total is 6 pieces and can be used for each to find the answer!

Explanation: My teacher said this was right :)

Answer:

f(x) =x^2 - 3x^2 - 6x + 8.

Step-by-step explanation:

the general equation of a graph is given by

y = mx + c

where m= slope

c=intercept

the equation given is

9x-5y=4

make y subject of formula

9x-4=5y

5y=9x-4

divide through by 5

y=9/5x-4/5

comparing with the general equation

mx=9/5x

m=slope=9/5

Answer:

4^6 / 5^6

Step-by-step explanation:

We know that (a/b) ^c = a^c / b^c

(4/5) ^6 = 4^6 / 5^6

=======================================================

Explanation:

The rule is

\(\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}\)

Basically we raise each part of the fraction to the outer exponent. In this case, a = 4, b = 5 and c = 6.

---------------------------------

The outer exponent c = 6 tells us how many copies of (a/b) we are multiplying together. So we are multiplying 6 copies of (4/5) together like so

\(\left(\frac{4}{5}\right)^6 = \left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)\\\\\left(\frac{4}{5}\right)^6 = \frac{4*4*4*4*4*4}{5*5*5*5*5}\\\\\left(\frac{4}{5}\right)^6 = \frac{4^6}{5^6}\\\)

For larger values of c, it's easiest to use the formula directly instead of expand things out like what is shown above. I recommend trying out small values of c such as c = 2 or c = 3.

Answer:

1/2= 5/10

this is answer

The percentage of Hospital A patients that died is 3% and the percentage of Hospital B patients that died is 2%. Hospital B is potentially safer based on the provided data.

To find the percentage of Hospital A patients who died, we need to divide the number of patients who died by the total number of patients in Hospital A and multiply by 100 to get a percentage. The same process applies for Hospital B.

For Hospital A:
- Number of patients who died = 63
- Total number of patients = 2100
- Percent of patients who died = (63/2100) x 100 = 3%

For Hospital B:
- Number of patients who died = 16
- Total number of patients = 800
- Percent of patients who died = (16/800) x 100 = 2%

Therefore, 3% of Hospital A patients died and 2% of Hospital B patients died.

Based on this data, Hospital B has a lower percentage of patients who died after surgery, making it potentially safer in terms of patient outcomes. However, it is important to consider other factors as well, such as the types of surgeries performed and the overall health of the patients before making a final decision about which hospital is safer.

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The factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

For the polynomial x³ - 7x² - 16x + 112, the following statements are true:

1. The factors of the polynomial are (x - 4)(x - 4)(x + 7).

2. The polynomial is completely factored.

To factor the polynomial completely, we can use different factoring techniques such as grouping, factoring by grouping, or synthetic division.

In this case, we observe that the number 4 is a root of the polynomial since when we substitute x = 4 into the polynomial, we get zero.

Using synthetic division or long division, we can divide the polynomial by (x - 4) twice to obtain the factored form (x - 4)(x - 4)(x + 7).

Hence, the factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

We are given an angle opposite of the side length x and the hypotenuse 10.

Use SOHCAHTOA, use Sin

\( \sin( \alpha ) = \frac{o}{h} \)

We the angle is 20

and the hypotenuse is 10 and the opposite is x.

\( \sin(20) = \frac{x}{10} \)

\(10 \sin(20) = x\)

And we get

\(x = 3.42\)

Answer:

1) D and F, their side lengths are proportional and same degree corners

2) E and F

3) yes, their side lengths are proportional and same degree corners

Step-by-step explanation:

Answer:

6 9/10, 6 3/4, 6 19/80

Step-by-step explanation:

it is the ordre r r my duuuud

Answer:

0.375

Step-by-step explanation:

The given numbers are:(10 1010 1010)2 and (1 1111 0001)2To find the sum of two binary numbers, we can add them using binary addition.

Similarly, to find the product of two binary numbers, we can multiply them using binary multiplication.Therefore, using binary addition:1 1 1 1 1 0 0 0 1 0(10 1010 1010)2+ (1 1111 0001)2-------------------1 0 0 1 0 1 1 0 1 1(11 1010 1011)2Therefore, the sum of the given binary numbers is (1 0 0 1 0 1 1 0 1 1)2To find the product of two binary numbers,

we use binary multiplication.(10 1010 1010)2 × (1 1111 0001)2---------------------------(10 1010 1010)2(×) (1) (1 0101 0101 0)2(×) (1 1111 0001)2--------------------------(10 1011 0001 1 0 1 0)2Therefore, the product of the given binary numbers is (10 1011 0001 1 0 1 0)2.Note: To represent the binary number, (10 1011 0001 1 0 1 0)2, it is better to split it into groups of 4 starting from the right side. Therefore, it can be written as (1 0101 1000 1110 1010)2.

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Answer:

the 1st one

Step-by-step explanation:

Answer:

P’(-4, 3) , Q’(-8, 4) , R’(-7, -1)

Step-by-step explanation:

Plot the pre-image points, then reflect them over the line x = -3, from the right side of the line to the left and then you end up with the prime points; P’(-4, 3) , Q’(-8, 4) , R’(-7, -1).

Answer: x=-3

Step-by-step explanation:

Answer:

50 boxes

Step-by-step explanation:

5890÷120= 49.08 boxes

round off (because boxes can't be in decimals): hence, 50 boxes

hope it helps !

50 boxes

Step-by-step explanation:

5890÷120= 49.08 boxes

round off (because boxes can't be in decimals): hence, 50 boxes