the question is 7a + 10 = 2a

Values of x and y in table does not represent a proportional relationship.

From the table x values 2, 3, 4 and 5 corresponds to values of y 5, 6, 7 and 8 respectively. The ratio of x value and y value is

2/ 5 = 0.4

3/ 6 = 0.5

4/ 6 = 2/ 3 ≈ 0.67

5/ 8 = 0.625

As the ratio is not constant, the values in table does not represent a directly proportional.

The value of xy is

2×5 = 10

3×6 = 18

4×7 = 28

5×8 = 40

Again as the value of xy is not constant, so they are not inversely proportionally.

To know more on proportional relationship

https://brainly.com/question/29765554

#SPJ4

Answer:

0.0001

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

1,000,000 divided by 10,000 is equal to 100.

Answer:

A

Step-by-step explanation:

\(\sqrt{22}\) · 5\(\sqrt{2}\) = 5 \(\sqrt{44}\) = 5 \(\sqrt{4}\)·\(\sqrt{11}\) = 10\(\sqrt{11}\)

(a) Let "X" be the random variable that represents the time in minutes required to assemble the product.

(b) The random variable may assume the values in the interval (0, ∞).

(c) The random variable "X" is continuous in nature.

To learn more about variables, visit :

https://brainly.com/question/17344045

#SPJ4

lol, that would be biology

but I'd say its the mitochondria

Answer:

\(x = 3\)

Step-by-step explanation:

Step 1:  Determine the equation

So we know that our equation does not have a y-intercept which means that it doesn't intersect ANYWHERE on the y-axis.  Therefore, this means that our equation will be a straight vertical line that doesn't move side to side and just goes straight up and down.  We also know that our point is (3, 6) which means that our x-value will be 3 and this is where the equation will be located.  

There are several ways to display our answer where x = 3 is the most common way which basically means give me all of the y-values for the same x value of 3.  Another way of saying it is x - 3 = 0 which either way when adding 3 to both sides gives you x = 3 which is what I usually go with.

Answer: \(x = 3\)

Answer:

x = 3 or x - 3 = 0

Step-by-step explanation:

Given

Solving

Answer:

Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.

Step-by-step explanation:

Brand A:

7.97/48 = 0.16604166666 = approx $0.17 per pencil

Branch B:

9/72 = 0.125 = approx $0.13 per pencil

Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.

This polynomial function has a fifth degree, 33 as a zero of multiplicity 4, -2 as the only other zero, and a leading coefficient of 22.

We construct a polynomial function with the given properties.
The polynomial function is of fifth degree, which means it has 5 roots or zeros.
One of the zeros is 33 with a multiplicity of 4.

This means that 33 is a root 4 times.
The only other zero is -2 (ignoring the extra -2).
The leading coefficient is 22.
Now we can construct the polynomial function using these properties:
Start with the root 33 and its multiplicity 4:
\((x - 33)^4\)
Include the other zero, -2:
\((x - 33)^4 \times  (x + 2)\)
Add the leading coefficient, 22:
\(f(x) = 22(x - 33)^4 \times  (x + 2)\).

For similar question on polynomial function.

https://brainly.com/question/2833285

#SPJ11

The equation of the polynomial function is f(x) = 2(x - 3)⁴(x + 2)

From the question, we have the following parameters that can be used in our computation:

The properties of the polynomial

From the properties  of the polynomial, we have the following highlights

So, we have

f(x) = (x - zero) with an exponent of the multiplicity

Using the above as a guide, we have the following:

f(x) = 2(x - 3)⁴(x + 2)

Hence, the equation of the polynomial function is f(x) = 2(x - 3)⁴(x + 2)

Read more about polynomial at

brainly.com/question/7693326

#SPJ4

Answer:

Step-by-step explanation:

The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are different sizes. The scale factor is used to solve geometric problems. You can use the scale factor to find the missing side lengths of a figure.

Answer:

Show that, the sum of an infinite arithmetic progressive sequence with a positive common difference

is +∞

Step-by-step explanation:

To show that the sum of an infinite arithmetic progressive sequence with a positive common difference is +∞, we can use the formula for the sum of the first n terms of an arithmetic sequence:

Sn = n/2 [2a + (n-1)d]

where a is the first term, d is the common difference, and n is the number of terms in the sequence.

Now, if we let n approach infinity, the sum of the first n terms of the sequence will also approach infinity. This can be seen by looking at the term (n-1)d in the formula, which grows without bound as n becomes larger and larger.

In other words, as we add more and more terms to the sequence, each term gets larger by a fixed amount (the common difference d), and so the sum of the sequence increases without bound. Therefore, the sum of an infinite arithmetic progressive sequence with a positive common difference is +∞.

Answer:

41 people attended the party

Step-by-step explanation:

\(1120 = 20x + 300\)

\(1120 - 300 = 20x\)

\(820 = 20x\)

\(x = 41\)

Answer:

8 ÷ 1/3 and 12 ÷ 1/2

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

We solve all statements one by one,

Then the solutions are as follows

1. 8 ÷ 1/3

= (8 × 3) ÷ 1

= 24

2. 6 ÷ 1/8

= (6 × 8) ÷ 1

= 48

3. 9 ÷ 1/4

= (9 × 4) ÷ 1

= 36

4. 12 ÷ 1/2

= (12 × 2) ÷ 1

= 24

Hence, 8 ÷ 1/3 and 12 ÷ 1/2 is equals to 24.

Answer:200.25

Step-by-step explanation:

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer: In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Step-by-step explanation:

I SMART

Answer:

14

Step-by-step explanation:

1/2 + 1/2 = 1

so then 2 is 4 halves

4 is 8 halves

8 is 16 halves

the number of halves is double the original number

Answer:

14

Step-by-step explanation:

7 ÷ 1/2 = 7 × 2

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

To know more about investment visit:

https://brainly.com/question/29547577

#SPJ11

The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

The amount that one family paid is 25 pound

Here two families had dinner and bill was 100 pound

They used the coupon on which they got 50% off

To find the percentage we have to use percentage formula:

\(=\frac{Value}{Total \ Value} *100\)

\(=\frac{50}{100} *100\)

\(= 50 \ Pounds\)

The remaining bill was 50 pound

Now this amount is divided between the 2 families

\(=\frac{50}{2}\)

\(= 25 \ pound\)

So one family has to pay 25 pounds

learn more about equal splitting here

https://brainly.com/question/14823790

#SPJ4

Answer:

The equation for 3 cups equals 24 cookies is = 24 divided by 3 or 3 times 8, so that makes your awnser 12 times 3= 36 times 8 equals 288, so 288 cookies.

Step-by-step explanation:

Dozen-12

Answer:

you going to need 4 1/2 or 4.5 cups of sugar

The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

Learn more about Rounding here :

https://brainly.com/question/1285194

#SPJ4

The surface area of the composite solid is approximately 127.65 square yards

From the question, we are to calculate the surface area of the composite solid

From the diagram, we have two cones. A big cone and a small cone

Thus,

Surface area of the composite solid = Curved surface area of big cone + Curved surface area of small cone

Curved surface area of big cone = πr(√(h² + r²))

Curved surface area of big cone = π(3)(√(8² + 3²))

Curved surface area of big cone = 3π(√(64 + 9))

Curved surface area of big cone = 3π√(73)

Curved surface area of small cone = πr(√(h² + r²))

Curved surface area of small cone = π(3)(√(4² + 3²))

Curved surface area of small cone = 3π(√(16 + 9))

Curved surface area of small cone = 3π√(25)

Curved surface area of small cone = 3π  × 5

Curved surface area of small cone = 15π

Thus,

Surface area of the composite solid = 3π√(73) + 15π

Surface area of the composite solid = 80.5253 + 47.1239

Surface area of the composite solid = 127.6492

Surface area of the composite solid ≈ 127.65 square yards

Hence,

The surface area is 127.65 square yards

Learn more on Calculating surface area here:

brainly.com/question/10254615

brainly.com/question/31547165

#SPJ1

To sketch three solutions with initial values y(0) > 0, y(0) = 0, and y(0) < 0, we'll need to use a differential equation or system of differential equations. So, to sketch three solutions with initial values y(0) > 0, y(0) = 0, and y(0) < 0, we would first draw a slope or direction field for our differential equation. Then, we would start at the point (0, y(0)) and follow the direction of the slope or arrow to sketch the solution for each initial value.
To sketch three solutions with the given initial values, follow these steps:
1. Determine the differential equation you're working with. For example, let's consider the equation y'(t) = y(t). This is just an example, and the process will be similar for other differential equations.
2. Solve the differential equation to obtain a general solution. In our example, the general solution is y(t) = C * e^t, where C is an arbitrary constant.
3. Apply the initial values to find specific solutions:
  a. For y(0) > 0, choose a positive value for C, such as C = 1. The specific solution is y(t) = e^t.
  b. For y(0) = 0, choose C = 0. The specific solution is y(t) = 0.
  c. For y(0) < 0, choose a negative value for C, such as C = -1. The specific solution is y(t) = -e^t.
4. Sketch the three solutions on the same graph:
  a. For y(t) = e^t, draw a curve that starts at (0,1) and increases exponentially as t increases.
  b. For y(t) = 0, draw a horizontal line at y = 0.
  c. For y(t) = -e^t, draw a curve that starts at (0,-1) and decreases exponentially (toward 0) as t increases.
These three curves represent the solutions with the specified initial values. Note that this process assumes you have a specific differential equation in mind. If you have a different equation, just follow the same steps to find and sketch the solutions.

Learn more about differential equation here: brainly.com/question/2273154

#SPJ11

Answer:

I believe the answer is 23.

Step-by-step explanation:

90-67=23

Answer: (1 min / 60 s) (1 hr / 60 min)

The estimated sum of the numbers fifty-eight (58) and twenty-nine (29) is equal to ninety (90).

In an estimated sum, the numbers are rounded; on the other hand, in a regular sum, the numbers are not changed.

1. Round the numbers:

2. Add the rounded numbers:

Learn more about estimated sum in: https://brainly.com/question/660898

#SPJ1

Answer:

3x+7

Step-by-step explanation:

Use long division or synthetic division. (3x^2+13x+14)/(x+2)

The length of the rectangular garden is 3x + 7

The given expression:

\(A = 3x^2 + 13x + 14\)

the width of the garden = x + 2

let the length of the garden = y

To find:

The area of the rectangular garden is calculated as;

\(A = y(x + 2) = 3x^2 + 13x + 14\\\\y(x + 2) = 3x^2 + 13x + 14\\\\y = \frac{3x^2 + 13x + 14}{x + 2}\)

Using long division method:

                         3x + 7

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

        x + 2 √ 3x² + 13x + 14

                  - (3x² + 6x)

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

                              7x + 14

                            - (7x + 14)

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

                                0

Thus, the length of the rectangular garden, y = 3x + 7

Learn more here: https://brainly.com/question/12932084

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%