Find the area of a rectangle with a length of x + 4 and a width of x + 2
Plz show work

Answer:

(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t +8

The time that can be rented for $26 = 1min

Step-by-step explanation:

Based on the information given:

Setup charge on Rent at local copy center = $9

an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.

For every 5min = $150

For 1 min = $150/5

For t min = 150t/5

Where t = number of minutes of rental time

Rental cost = set up charge + additional cost

Let Rental cost = R(t)

R(t) = 9 + 150t/5

Writing it in form of a linear equation: y = mx + c

R(t) = 150t/5 +9

R(t) = (150/5) ×t + 9

R(t) = 30t + 9

The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t + 9

The time that can be rented for $26:

Rental cost = $26

R(t) = 30t +9

26 = 30t +9

26-9 = 30t

17 = 30t

t = 17/30 = 0.57

t is approximately = 1min (nearest minute)

The time that can be rented for $26 = 1min

Answer:

35m^3n + 105m^2n^3=140m^5n^3

34x^4y^3 – 17x^2y^5=17×^6y^8

20p^2 – 16p^2 q^2=4p^2q^2

Answer:

x=0

Step-by-step explanation:

two equations would be most appropriately solved by using the zero product property are A. (x-3)(x+4)=0 and C. 2x(x+3)=0

A basic tenet of mathematics and algebra is the zero product property, which asserts that if the sum of two or more elements is zero, then at least one of the factors must also be zero.

PartA)

(x-3)(x+4)=0

This equation follows  zero product property

PartB)

x2+3=16

x2=13

x=root13

This equation does not follow  zero product property

PartC)

2x2+6x=0

2x(x+3)=0

This equation follows  zero product property

PartD)

2x2+6,x=0

This equation does not follow  zero product property

PartE)

-0.5x2-0.34x+9=0

This equation does not follow  zero product property.

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Step-by-step explanation:

Endplate  area  * depth = volume

Endplate area is a composite area:

  rectangle   2x 7 = 14  cm^2

  and trapezoid area = height x average of bases = 3 x (3+7)/2 = 15  cm^2

      total endplate area = 29  cm ^2

29cm^2 * depth = volume

29 * 8 = 232 cm^3

Answer:

C. 1232

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·21+2·π·72=1232.

Answer:

The answer is 1232cm^2

Step-by-step explanation:

Formula for total surface area of a cylinder is=2\(\pi\)r²+2\(\pi\)rh

radius=7 cm

height=21 cm

∴TSA= 2 x 3.14 x 7² + 2 x 3.14 x 7 x 21

TSA= 2 x 3.14 x 49 + 2 x 3.14 x 7 x 21

TSA=1232cm².

You can also use 22/7 for pile/\(\pi\) instead of 3.14.

It's your choice.

Thanks.

The value of a = b = c = 0. So v₁, v₂ and v₃ are linearly independent.

The vectors are v₁ = (2, 5, 3), v₂ = (1, 1, 1), and v₃ = (4, −2, 0).

av₁ + bv₂ + cv₃ = 0

a(2, 5, 3) + b(1, 1, 1) + c(4, −2, 0) = (0, 0, 0)

(2a, 5a, 3a) + (b, b, b) + (4c, −2c, 0) = (0, 0, 0)

(2a + b + 4c, 5a + b - 2c, 3a + b + 0) = (0, 0, 0)

(2a + b + 4c, 5a + b - 2c, 3a + b) = (0, 0, 0)

2a + b + 4c = 0....................(1)

5a + b - 2c = 0....................(2)

3a + b = 0....................(3)

From the equation 3; b = -3a

Now put the value of b in equation 1 and 2

2a - 3a + 4c = 0

-a + 4c = 0....................(4)

2a - 2c = 0

a - c = 0....................(5)

Adding equation 4 and 5

3c = 0

c = 0

Now put the value of c in equation 5;

a = 0

Now put the value of a in value of b;

b = 0

Since, a = b = c = 0. So v₁, v₂ and v₃ are linearly independent.

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The complete question is:

Are the vectors v₁ = (2, 5, 3), v₂ = (1, 1, 1), and v₃ = (4, −2, 0) linearly independent? Why?

Answer:

Step-by-step explanation:

Answer:

Simplify:

=35+30s+−45t

=30s−45t+35

Factor:

30s−45t+35

=5(6s−9t+7)

5(6s−9t+7)

Step-by-step explanation:

Can you give me Brainliest please

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

Answer:

5g Potato : 3g Lentils

or

5:3

Step-by-step explanation:

1. 375 : 225

2. Find greatest common factor then divide by it.

3. 75g : 45g

4. 5:3

5:3 g

Step-by-step explanation:

375 : 225 = 375/225 = 75/45 = 5/3 = 5:3 g

Answer:

Step-by-step explanation:

+18-9+5-3 = 11

It's on the eleventh floor and must go down 11 floors to return to the ground floor.

Answer:

1 hour

Step-by-step explanation:

To write an expression that selects all words with at least five letters from a list, you can use a list comprehension in Python and that are word, list, filtered, for, kite.

List comprehensions provide a concise way to create new lists by filtering or modifying elements from an existing list.
Here's an example using the words you provided:
```python
words_list = ['being', 'for', 'the', 'benefit', 'of', 'mister', 'and', 'kite']
filtered_words = [word for word in words_list if len(word) >= 5]
```

In this example, the list comprehension iterates through each word in `words_list` and checks if its length (`len(word)`) is greater than or equal to 5. If the condition is met, the word is added to the new `filtered_words` list. The result will be `['being', 'benefit', 'mister']`, which are the words with at least five letters in the original list.

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Answer:

x-coordinates are the same

Step-by-step explanation:

A total of  110 runs were scored in the fourth innings such that the mean is lower by 10 runs.

The runs scored in the first three innings are 60,70 and 80

Total runs scored in the first three innings = 60+70 + 80 = 210

Mean of the runs scored = 210 / 3 = 70 runs

Now the fourth innings let the batsman scored x runs.

Total runs scored in all 4 innings = 210 + x

Mean of all 4 innings = (210 +x) / 4

Now the new mean is 10 more than the old mean.

Hence, (210 + x) / 4 = 70+10

or, 210 + x = 320

or, x= 110

Hence he scored 110 runs in the fourth innings .

The mean is one of the most important and widely used measures of central tendency. There are numerous different types of means in mathematics.

The mean in statistics is calculated by multiplying all the values in a set of data by the total number of values in the data, usually for a specific set of observations.

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Someone else in the world may watch it but personally i do not.

Answer:

Please Give Brainliest

Step-by-step explanation:

Answer: A Edge

You fell sharply behind your expected schedule with regard to saving

Look your test

Step-by-step explanation:

Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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Answer:

No. of boxes = 10

Oranges per box = 56

Total no. of oranges = 56*10=560

No. of bad oranges = 560/40= 14

(i) Probability of bad orange = 14/560 = 1/40

(ii) no of oranges expected to be bad = 14 ( found above)

Hope it helps.............. :)

Answer:

5 - 35n.

Step-by-step explanation:

5(1 - 7n)

Using the Distributive Law:

= 5*1 + 5 *-7n

= 5 - 35n.

The radius of the circular field with area 14400 square feet is 67.7ft

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

The radius of a circular field with an area of 14400 square feet can be calculated by the formula:

Area of a circle(A) = \(\pi r^{2}\)

where A = 14400\(ft^{2}\)

\(\pi\) = constant which is 3.142

A = \(\pi\)\(r^{2}\), where A = area of circle , r = radius

divide both sides by c

A/\(\pi\) = \(r^{2}\)

\(r^{2}\) = A/\(\pi\)

r = \(\sqrt{\frac{A}{\pi } }\)

Substitute the values of A and \(\pi\)

r = \(\sqrt{\frac{14400}{3.142} }\)

r = 67.7ft

In conclusion the radius of the field is 67.7ft

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Answer:

its easy...are u in 5th

Step-by-step explanation:

The lottery's anticipated worth is $80.

Given that,

The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.

A) EV=125*.2+100*.3+50*.5=$80

The lottery's anticipated worth is $80.

The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is what we have: ;;

125(0.2) + 100(0.3) + 50(0.5) (0.5)

= 25 + 30 + 25 = $80

B) This is the formula for variance is shown in figure :

So, we can calculate the variance as follows:

.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975

C) A risk-neutral person would pay $80 or less to play the lottery.

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Answer:

Step-by-step explanation:

Expected value of the lottery is $83.75.

Variance of the outcome is 909.6.

A risk-neutral person would pay $83.75 or less to play the lottery.

a) The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is,

125(0.25) + 100(0.3) + 50(0.45)

          = $83.75

b) we can calculate the variance as follows:

Variance=.25*(125-83.75)^2+.3*(100-83.75)^2+.45*(50-80)^2=909.6

c) A risk-neutral person would pay $83.75 or less to play the lottery.

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Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

\(\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right]\)

Is just completed as:

\(\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right]\)

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

\(\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right]\)

Answer:

72760

Step-by-step explanation:

If the new tub has the same cylindrical shape, with a radius that is twice as large and a height that is 20 % taller, then the volume of bigger tub is 3.8 times greater.

The volume of a cylinder is given by the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height of the cylinder.

Let the current hot tub have radius r and height h, so its volume is:

V1 = πr^2h

The new hot tub has a radius that is twice as large, which means the new radius is 2r. The height is 20% taller than the current height, which means the new height is (1 + 0.2)h = 1.2h. So, the volume of the new hot tub is:

V2 = π(2r)^2(1.2h) = 4πr^2(1.2h) = 4.8πr^2h

The difference in volume between the new and current hot tubs is:

V2 - V1 = 4.8πr^2h - πr^2h = 3.8πr^2h

So the volume of the new hot tub is 3.8 times greater than the volume of the current hot tub. Therefore, the volume of the bigger tub is 3.8 times greater than the volume of the smaller tub.

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Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

Answer- 28 classes

Step-by-step explanation:

822-150= 672  672/24 = 28

Number of classes the student took is 28.

Given that Mr. Brust school of fine ballet charges $24 per dass and a one time registration fee $150.

A student paid a total of $822 dollars.

How to calculate number of classes?

For finding the number of classes firstly we have to find leaves payment and then we can divide the given charges for each dash.

Now,

Paid $822 - registration fee $150

⇒ $672 leaves

Hence number of classes = \(\frac{672}{24}\) per class

                                       = \(28\) classes

So,  the number of classes the student took = 28 classes

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