Helen's Shop is 60 meters wide and 80 meters long. The parking lot in front of Helen's Shop is twice as long as it is wide and is 50 meters wide.What is the sum of the area of Helen's Shop and the parking lot?

Answer:  the correct option is (B) x = 6.

Step-by-step explanation:  Given that x varies inversely as v and x = 48 when v = 8.

We are to find the value of x when v = 64.

Since x varies inversely as v, so we have

[tex]x\propto\dfrac{1}{v}\\\\\\\Rightarrow x=k\dfrac{1}{v}~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}][/tex]

When x = 48 and v = 8, then, we get

[tex]48=\dfrac{k}{8}\\\\\Rightarrow k=48\times8\\\\\Rightarrow k=384.[/tex]

So,

[tex]x=\dfrac{384}{v}~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Therefore, when v = 64, then from equation (i), we get

[tex]x=\dfrac{384}{64}=6.[/tex]

Thus, the required value of x is 6.

Option (B) is CORRECT.

Daniel can earn $7510 interest he get after 15 years of investment.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, principal = $80,000

         Time = 15 years

         Rate of Interest = 0.6% compounded annually

We know that,

       [tex]A = P(1+i)^n[/tex]

      [tex]A = 80000(1 + 0.006)^{15}[/tex]

      [tex]A = 80000 X 1.006^{15}[/tex]

      A = 80000 X 1.094

      A = 87,510.41

Interest = Amount - Principal

             = 87510 - 80000

             = $ 7,510

Thus, Daniel can earn $7510 interest he get after 15 years of investment.

Learn more about Compound Interest from:

https://brainly.com/question/14295570

#SPJ2

Answer:

8 is the answer you are looking for

Step-by-step explanation: not needed

Explanation of mathematical induction proof for two statements and demonstration of P1, Pk, and Pk+1 for another equation.

Mathematical Induction Proof for Statement 1:

Mathematical Induction Proof for Statement 2:

P1, Pk, and Pk+1 for 2 + 4 + 6 + ... + 2n = n(n+1): P1 is true, assume Pk is true, then prove Pk+1 using Pk.

Final answer:

The notation '+1.25 E -19' represents the number in scientific notation, equivalent to 1.25 × 10^-19.

Explanation:

The notation '+1.25 E -19' is likely intended to be represented the number 1.25 × 10-19, which is an example of scientific notation.

The Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in the decimal form. In this context, 'E' stands for exponent, indicating that the number should be multiplied by 10 and raised to the power of -19.

Therefore, +1.25 E -19 means the number is positive and equals 0.000000000000000000125.

Answer:

it is a 32-gon

Step-by-step explanation:

Answer: < DCQ ≅ <DCE.

Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.

In the shown composite figure we can see:

<CDQ ≅ < CDE   : Given

CD are common sides of both triangles

Therefore, by reflexive property

CD = CD

We need to apply ASA congruence criteria.

That is Angle Side Angle congruence criteria.

We already got One angle is congruent and one side on both triangles.

We just need one-one more angles in both triangles those would be congruent.

Therefore,

Answer:

Step-by-step explanation:

Answer:

Option 2. 25 pounds

Step-by-step explanation:

As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.

Therefore equation of the line will be y = mx + c

to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)

So m = (50-0)/(6-0) = 50/6 = 8.33

since this passes through (0, 0) so c = 0

Equation will be y = 8.33x

Now we have to get the value of y (weigh of puppy) at x = 3.

y = 8.33×3 = 24.99 ≈ 25 lb.

Option 2 is the answer.

A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...

... B. 7

Hi there!

I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.

Hope this helps!

- Chris

The coefficient of the x-term in the trinomial is C. The sum of -p and -q, which is -p - q. therefore ,option C. The sum of -p and -q, which is -p - q is correct.

When the factors of a trinomial are (x - p) and (x - q), you can find the coefficient of the x-term in the trinomial by multiplying these factors together and paying attention to the x-term.

The product of (x - p) and (x - q) is:

(x - p)(x - q) = x^2 - qx - px + pq

Now, notice that the coefficient of the x-term is the sum of the terms that contain 'x,' which are -qx and -px:

Coefficient of the x-term = -qx - px

This can be factored as:

Coefficient of the x-term = x*(-q - p)

So, the coefficient of the x-term in the trinomial is:

C. The sum of -p and -q, which is -p - q

for such more question on coefficient

https://brainly.com/question/30845099

#SPJ2

Answer:

3g+5.5c=29

g+c=8