Which number is an integer?
2.3
0
-3/4
pi

The solution to the questions are:

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

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

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Answer:it will be D

Step-by-step explanation: because $100 + 4%=$100.4

Answer:

Step-by-step explanation:

Answer:

[tex]x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]y = x^2 - 6x+7[/tex]

To complete the square, begin by adding and subtracting the square of half the coefficient of the term in x:

[tex]\implies y = x^2 - 6x+\left(\dfrac{-6}{2}\right)^2-\left(\dfrac{-6}{2}\right)^2+7[/tex]

[tex]\implies y = x^2 - 6x+\left(-3\right)^2-\left(-3\right)^2+7[/tex]

[tex]\implies y = x^2 - 6x+9-9+7[/tex]

Factor the perfect square trinomial:

[tex]\implies y=(x-3)^2-9+7[/tex]

[tex]\implies y=(x-3)^2-2[/tex]

To solve the quadratic, set it to zero and solve for x:

[tex]\implies (x-3)^2-2=0[/tex]

[tex]\implies (x-3)^2-2+2=0+2[/tex]

[tex]\implies (x-3)^2=2[/tex]

[tex]\implies \sqrt{(x-3)^2}=\sqrt{2}[/tex]

[tex]\implies x-3= \pm\sqrt{2}[/tex]

[tex]\implies x-3+3= 3\pm\sqrt{2}[/tex]

[tex]\implies x= 3\pm\sqrt{2}[/tex]

Therefore, the solution to the given quadratic equation is:

[tex]x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}[/tex]

The annual percentage yield (APY) of Russ is 4.39 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Deposit amount of Russ = $ 4500

Interest rate R = 4.3 %

And it is given that the interest rate is compounded daily , so

Interest rate R = 4.3 % / 365

                        = 0.043 / 365

                        = 0.0001178

Now , The annual percentage yield (APY) is calculated as

The interest amount = 4500 x ( 1 + 0.0001178 )³⁶⁵

                                  = 4500 x ( 1.0001178 )³⁶⁵

                                  = 4500 x 1.04393211

                                  = 4697.694

                                  ≈ 4697.69

Therefore , the interest will be

= 4697.69 - 4500

= $ 197.69

Now , the annual percentage yield (APY) is given by

= Interest / Deposit

= 197.69 / 4500

= 0.0439

≈ 4.39 %

Hence , annual percentage yield (APY) of Russ is 4.39 %

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Answer:

Step-by-step explanation:

-3x -9 graph negative -3 then graph 9 add them together to get negative 12

If the length of the string, l, is increased, the period will; Increase

The time period of a simple pendulum is given by the formula;

t = 2π√(l/g)

Where;

t is time period

l is length of the string

g is acceleration due to gravity.

We can see from the equation above that for simple pendulum, time period is directly proportional to length of the string; (t ∝ l ).

However, we see that the time period is inversely proportional to acceleration due to gravity ( t ∝ 1/g) .

Now, as we are told, If length(l) of the string is increased, then it means that the time period (t) of the pendulum will also increase.

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Answer:

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

Step-by-step explanation:

1. common form of slope-interception form is:

y=(slope)*x-interception;

Then

[tex]2. \ y=-\frac{2}{3} x+interception;[/tex]

3. in order to calculate the 'interception' is it needed to substitute the given coordinates into this non-completed equation:

[tex]5=-\frac{2}{3} *(-6)+interception; \\interception=1;[/tex]

4. finally, the required equation is:

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

The area of triangle A, rectangle B and the whole figure are 12, 54 and 66 square units respectively.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

Area of rectangle:   The area of a rectangle is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

Area of triangle: The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Here we have a diagram PQRTS comprising the triangle PQT and rectangle QRTS.

Given:   PS = 9 units & QR = 5 units  

         ⇒ PT = 4 units, RS = QT= 6 units

The area of ΔPQT= M = 1/2*b*h = 1/2*PT*QT

                     ⇒  M= 1/2*4*6=12 square units

                     ⇒  M = 12 square units

Now, the area of rectangle QRTS = N = l*b = QT*TS = 6*9 = 54 square units

                     ⇒ N = 54 square units

Now, the area of whole diagram = area of triangle A + area of rectangle B

       ⇒ M + N = (12 + 54)square units = 66 square units.

       ⇒ Area of whole figure  = 66 square units.

Therefore, the area of triangle A, rectangle B and the whole figure were found to be 12, 54 and 66 square units respectively.

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The coordinates of the image are -2P

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

Ry = -2(P)

To calculate the coordinate of the image, we simply open the bracket

So, we have

Ry = -2(P)

Solving further, the equation can be represented as

Ry = -2 * P

Evaluate the product

So, we have the following representation

Ry = -2P

Hence, the image has an coordinate or ordered pair of -2P

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The required compound inequality is given as 5 < x < 25.

Given that,
To determine a compound inequality to represent a budget to spend between $5 and $25 at Starbucks in a month.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let x be the amount to be spend at Starbucks in a month,
According to the question,
X should not be less than 5 and should not be greater than 25,
So X > 5 and x < 25
Compounding the above inequalities,
5 < x < 25

Thus, the required compound inequality is given as 5 < x < 25.

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Step-by-step explanation:

the first box is linear since when you add it to (x,y) it gives a straight line

Answer:

8 bracelets can be made from given beads.

Step-by-step explanation:

To make similar bracelets using all the beads, we have to find the highest common factor of no of beads

Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72

Factors of 32=> 1 , 2, 4 , 8 , 16 , 32

Observing this data, HCF of 72and 32 will be 8.

Therefore, total 8 bracelets can be made from given beads.

The function has a maximum value of 30 at x = 3

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

F(x) = -3x²+18x+3

This can be expressed properly as

F(x) = -3x² + 18x + 3

A quadratic function is represented as

F(x) = ax² + bx + 3

By comparison, we have

a = -3

For a quadratic function to have a maximum value, the value of a must be less than 0

This means that the function has a maximum value because -3 is less than 0

Solving further, we have

F(x) = -3x² + 18x + 3

Differentiate and set to 0

-6x + 18 = 0

So, we have

x = 3

Substitute x = 3 in F(x)

F(3) = -3(3)² + 18(3) + 3

Evaluate

F(3) = 30

This represents the maximum value

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Respuesta: 10

Solución paso a paso:

Si x es 1, eso significa que el x en la ecuación es 1. Entonces, cambiamos la x por 1, entonces nos quedamos con:

y = 2(1) + 8

Si evalúas esto, te quedas con 10.

The amount of money to represent Arthur's Schedule C (Form 1040) deduction for refreshments is: C. $480.

In Economics, there are different types of tax which are levied on individuals (employees) or business firms by the government, and these include the following:

A Form 1040 was formally referred to as U.S. Individual Income Tax Return or Schedule C and it can be defined as an internal revenue service (IRS) tax form which is used by taxpayers in the United States of America, to file their annual income tax return.

In this scenario, Arthur's deduction for refreshments should be recorded as $480 in the Schedule C (Form 1040).

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Complete Question:

Arthur is a ride-hailing driver. He spent $500 on bottled water during the year. He personally consumed $20 of the water he purchased, but the remaining $480 was consumed by riders. How much is Arthur's Schedule C (Form 1040) deduction for refreshments?

$0

$240

$480

$500

Answer:

.25 * 5 = 1.25

.1    * 2 =  . 2

              1.45

Step-by-step explanation:

Answer:

I hope it will be helpful for you.

The regular selling price of each pizza is $13.60.

Given that, Giuseppe’s buys supplies to make pizzas for $4.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

According to question,

Regular selling price = Cost price × (Operating expenses + Profit +1)

Cost price =$4

Operating expenses = 110% or 1.1

Profit = 130% or 1.3

Thus, regular selling price =$4 × (1.1 +1.3 +1)

Regular selling price  =$4 × 3.4

Regular selling price  = $13.60

Therefore, the regular selling price of each pizza is $13.60.

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Answer:

The area of one face of the cube is 25 square inches.

Step-by-step explana

Answer:

b. 0.64 and 64/100

Step-by-step explanation:

hope this helps!!

Answer: B.) 0.64 and 64/100

Step-by-step explanation:

A percentage is x/100

For example, 4% = 4/100.

So 64% = 64/100

64/100 = 0.64

Answer:

1/24 yd

Step-by-step explanation:

Since he cut the wire into 4 pieces of equal length, each piece is 1/4 the length of the original piece.

1/4 of 1/6 of a yd

1/4 × 1/6 yd = 1/24 yd

The total cost for Bolt Electric Company and Zap Electric Company are y = 0.12r + 2.83 and y = 0.06r + 6.55 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service.

The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. Hence:

y = 0.12r + 2.83

The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. Hence:

y = 0.06r + 6.55

The cost is y = 0.06r + 6.55 and y = 0.12r + 2.83

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Answer:

46

Step-by-step explanation:

What is 12 more than 34?

We are looking for a new number which is 12 more than 34.

We will get the new number by adding 12 to 34.

We write it down as:

34+12=46

And finally the solution for: What number is 12 more than 34?

is 46

Answer:

x=4

Step-by-step explanation:

Square root of four equals 2 then +2 = 4

1.    in this exercise you  must substitute the value of  of x = 12  in the equation of the parable given, if the result is 10 then the ball pass through the hoop

2.    Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of  this form it is demonstrated, that the ball pass through the  hoop

1.

2.

A dilation occurs when each of the side lengths of an image are multiplied by a constant, which is called scale factor.

For item a, the scale factor is of:

12/4 = 3.

The scale factor is greater than 1, hence it represents an enlargement, and the missing values are found multiplying the equivalent sides by 3, hence:

For item b, the scale factor is of:

5/12 = 0.4167.

The scale factor is less than 1, hence it is a reduction, and the missing value is of:

x = 6 x 0.4167 = 2.5.

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The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.

From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.

This is an arithmetic sequence and will be expressed as:

= a + (n - 1)d

a = first term = 33

d = common difference = 6

n = 8

This will be:

= a + (n - 1)d

= 33 + (8 - 1)6

= 33 + (7 × 6)

= 33 + 42

= 75

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The angles will be x = 8° and y = 21°

given information:

∠AOB = 180°

∠EOG = 90°

∠EOF and ∠FOG are complementary angles. Complementary angles are those whose sum is equal to 90° and it is given to us in the question.

∠EOG = ∠EOF + ∠FOG

90° = 27° + 3y

90 - 27 = 3y

63 / 3 = y

y = 21°

Similarly  ∠AOE , ∠AOG and ∠GOB are supplementary to each other. Supplementary angles are those whose sum is equal to 180°

∠AOB = ∠AOE + ∠AOG + ∠GOB

180° = x + 90° + 8x + 18°

180 - 90 - 18 = 9x

9x = 72

x = 72 / 9

x = 8°

Hence we can clearly say that x = 8° and y = 21°

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