Is the following statement true or false?

The length has a value of  9 meters

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

Length = 5 meters less twice it’s width

This means that

Length = 2Width - 5

The perimeter is given as

Perimeter = 38 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (2Width - 5 + Width) = 38

Divide by 2

2Width - 5 + Width = 19

This gives

3Width= 21

Divide

Width - 7

Recall that Length = 2Width - 5

So, we have

Length =  2 * 7 - 5

Evaluate

Length =  9

Hence, the length is 9 meters

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Answer: 6x+2xz*52-35^5=

Step-by-step explanation: rs:p=4436x

Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)

Step-by-step explanation:

Profit for 2022 = $ 1.38 Million

Profit for 2021 = Profit for 2022 - $ 2.54 Million

Algebraic equation:

p2021 = p2022 -$ 2.54 Million

p2021 = $ 1.38 Million - $ 2.54 Million

p2021 = $ -1.16 Million

The remainder when 14 is divided by 3 is 2

What is remainder?

When we divide a number by another number if at the end if we have a number less than quotient and we can not divide further we say that the remaining number is remainder.

We are given a number as 14 and we divide 14 by 3

And on dividing 14 by 3 we get the quotient as 4 and remainder as 2.

Hence the remainder we get on dividing 14 by 3 is 2.

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Answer:

8 seconds

Step-by-step explanation:

See attach worksheet.

Answer:

proportional!!!!!!

Step-by-step explanation:

Answer:

P(x) = x (x²- 2x + 5)

Step-by-step explanation:

First factor x out:

P(x) = x (x²- 2x + 5)

Then, try to simplify (x²- 2x + 5):

However, there is no way to further simplify.

So, the answer should be x (x²- 2x + 5).

Step-by-step explanation:

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

Arithmetic progression is S = 1/2n[2a+(n-1)d]

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In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Geometric progression is Uₙ = arⁿ ⁻ ¹

Answer: (-3, 3)

Step-by-step explanation:

     See the attached image for my work. First, you need to know the quadrants. In order from the top right counter-clockwise, it goes I (1), II (2), III (3), and IV (4).

     Next, we will count up five units since Quadrant II is above the point, in Quadrant III.

Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

Notice that the intersection between both functions on the positive values of x is near the line x=2. From the provided options, the closest to that value is 1.7

Then, the positive solution to f(x)=g(x) is closest to:

Since the expression 5p represents the total price of buying 5 movie tickets, divide the expression 5p by 5 to find the price of a single ticket:

Then, the price of a ticket is p.

Therefore, the variable p represents the ticket price, while the number 5 represents the number of tickets.

the formula to get the expected value is

So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:

we have 8 ones: 8/20= 2/5

5 fives: 5/20=1/4

4 tens: 4/20= 1/5

3 twenties = 3/20

now, we multiply each value with te probabilitiy of picking it and add all

the expected value is 4.1

The probability that exactly 7 individuals are dropouts out of 35 is 0.0033288.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Given,

Probability of dropouts=p= 6%= 0.06

Probability of not dropouts=q=1-p=1-0.06=0.94

n=35

We use the probability mass function of binomial distribution, as there are only two possible outcomes for the given situation. If the individual is dropout or not a dropout.

P(X=x)= nCr x p^r x q^(n-r)

P(X=7)= 35C7x(0.06)^7x(0.94)^28

P(X=7)=6724520x(0.06)^7x(0.94)^28

P(X=7)=0.00332889

Therefore, the probability of exactly 7 of them are dropouts is 0.00332889.

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Answer:

{1, 3, 5, 7}

Step-by-step explanation:

U = {1, 2, 3, 4, 5, 6, 7, 8}

P = {2, 4, 6, 8}

P'= {1, 3, 5, 7}

Step-by-step explanation:

mode = the number appearing the most often in the list of data.

median = the middle number. half of the other numbers are smaller, and the other half is larger.

so, we know one number already : 12 in the middle.

that gives us

_ _ 12 _ _

a good mode is when it has a real majority (e.g. every other number appears only once, but the mode number appears twice).

so, 8 should appear twice.

as 8 is smaller than 12, it can only be on the left side of 12.

that gives us

8 8 12 _ _

note we need 2 numbers larger than 12, but each appearing only once.

so, e.g.

8 8 12 13 14

Answer:

70

Step-by-step explanation:

So 175% of 40 is the amount in april so we can split it up into 2 problems

100% of 40? 40

75% of 40? 30

Then you add the 2 to get 175% of 40 which will be 70!

Answer:

x=-11

Step-by-step explanation:

Steps are in the attachment, but I couldn't include the last step.

The last step is to divide by -2 on both sides.

The final answer then will be x=-11

Answer:

14.7 times bigger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are  (1.176 x 10¹) than (8 × 10-¹).

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

To compare numbers this way, we divide.

(1.76 × 10^1) / (8 × 10^-1) =

= 1.76/8 × 10^1 / 10^-1

= 0.22 × 10^(1 - (-1))

= 0.22 × 10^2

= 22

The lateral surface area of cone A is equal to the lateral surface area of

cylinder B. This is true.

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal. Therefore, it's true.

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Answer:

1 and 3 makes linear pair

1 and 4 vertically opposite angle

1 and 5 are corresponding angle

1 and 8 alternate exterior angle

Answer:

Step-by-step explanation:

It is a representation of the functional relation with dependent and independent variables, normally, x- independent and f(x) - dependent variable.

We can write the given function as:

Answer:

92

Step-by-step explanation:

  1

 46

x  2

 92

The number of cupcakes that Chad are is 8 cupcakes.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of cupcakes that Chad can buy be x.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. This will be 2x.

Therefore, the appropriate equation will be:

2x + x = 12

3x = 12

Divide

x = 12/3

x = 4

Chad = 2x = 2 × 4 = 8 cupcakes

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Answer:

Step-by-step explanation:

2nd one

⇒I will be using the laws of exponents. As indicated below :

⇒[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]

This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.

⇒ The other law of exponents is indicated below:

⇒[tex]x^{n} /x^{m} \\=x^{n-m}[/tex]

This means that if you are dividing powers of the same base you keep one base and subtract the exponents.

N.B : BODMAS RULES ALSO APPLY

[tex]\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9[/tex]

Attached is your solution. Goodluck!!

Answer:

Step-by-step explanation:

B - 6 million

b. 6 Million

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Answer: 26

Step-by-step explanation:

[tex]f(-2)=-2(-2)^2 -(-2)+3=13\\\\2f(-2)=2(13)=26[/tex]

Answer:

Please comment if it is wrong.

Answer:

12cd(2-3c)

Step-by-step explanation:

check:

12cd( 2 - 3c)

12cd(2) - 12cd(3c)

24cd - 36[tex]c^{2}[/tex]d