The length of a rectangle is 6 m longer than its width. If the perimeter of the rectangle is 64 m find its length and width in meters

The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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Answer:

Step-by-step explanation:

f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x

y= 2^ (x-1) * 3^x

Domain represents all values that x can have and is all real numbers

Range all values that y can have and is y > 0 ( all real numbers that are positive)

The y-intercept is the point where the graph intersects the y-axis so x=0 there

y = 2^(0-1) *3^0 = 1/2 *1 = 1/2

the asymptote is at y= 0

Answer:

Domain: all real numbers

Range: f(x) > 0

Intercept: (0, 0.5)

Asymptote: y = 0

Step-by-step explanation:

The weight of both books when put on the scale together is \(\frac{37}{24}=1\frac{13}{24}\).

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Let the weight of the two books Paulette had be x and y.

The weight of one of the books is x = 7/8 pounds.

The weight of the other book is y = 2/3 pound.

If the books are put on the scale then the total weight of the books will be:

\(x+y=\frac{7}{8}+\frac{2}{3}\)

The least common multiple or LCM of 8 and 3 is 24.

\(x+y=\frac{21+16}{24}\)

\(x+y=\frac{37}{24}\)

The correct option is (B) \(\frac{37}{24}=1\frac{13}{24}\).

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Answer:

5/2

Step-by-step explanation:

(5/3+4/3)/4-2=3/4-2=-5/4

(-5/4)*(-2)=5/2

See the attached graph.

The leading term is 2x⁷. Since n is odd & a is positive, the end behaviour is down and up. thus, option C is correct

A polynomial function is generally expressed as a polynomial or polynomial expression, depending on its degree. Any polynomial's degree is its highest power. You will learn about polynomial function in this article, along with its expression and graphical representation for zero-degree, one-degree, two-degree, and higher degree polynomials.

A function that can be expressed as a polynomial is known as a polynomial function. The definition is derivable from the definition of a polynomial equation. A polynomial is typically denoted by the letter P. (x). The degree of the variable P(x) is its highest power. The degree of a polynomial function is crucial because it provides information about how the function P(x) will behave when x is very large.

Here we have the polynomial function:

p(x) = 2*x^7 - 8*x^6 - 3*x^5 - 3

We can see that the degree is 7, so it is odd, and the leading coefficient is positive = 2.

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Full question:

Consider the leading term of the polynomial function. What is the end behavior of the graph?

2x^7 – 8x^6 – 3x^5 – 3

A. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and up.

B. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and down.

C. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

D. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and down.

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

8. 2

9. C

Hope this helps :)

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

Amount = $3.84

Step-by-step explanation:

Given the following data;

Total bill = $48

Tip = 8%

To find the amount of dollars tipped?

\( Amount = \frac {8}{100} * 48\)

\( Amount = \frac {384}{100} \)

Amount = $3.84

Therefore, the amount of dollars Mr. Cosgrove tipped is $3.84.

Based on the equation, y = -750·x + 8500, the estimated value of a

motorcycle that is 5 years old is $4,750.

The regression equation that models the data is; y = -750·x + 8500

Where;

y = The value of the brand of motorcycle in dollars

x = The age of the motorcycle

When the motorcycle is 5 years old, we have;

x = 5

y = -750 × 5 + 8500 = 4750

Based on the equation, the estimated value of a motorcycle that is 5 years old, y = $4,750

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

5-9.5=5+(-9.5)

.................

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer:

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to create an equation such that the solution is as close to zero as possible. ... 8 > Expressions & Equations > Create an Equation with a Solution Closest ...

Step-by-step explanation:

For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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Answer:

6e+52

Step-by-step explanation:

cAlCuLaToR

Answer:

6e+52

Step-by-step explanation:

multiply

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

37 centimeters

Step-by-step explanation:

First, since the triangles are similar, find out how much larger STR is than HIJ by finding an similar side and dividing the numbers. Since the only similar side that we know both numbers on it ST and HI, so we divide 10 by 4 to get the unit rate, which is 5/2. The missing side on STR is the bottom, so to get it, multiply 6, the bottom of the other triangle, by the unit rate, 5/2, to get the answer of 15. Then, perimeter is all of the sides added up, so 10+12+15=37 cm.

(hope this helps :P)

Answer: x = 1

Step-by-step explanation: mark equations equal:

-x² +x+2= -x+3

-x² +2x -1 = 0

Solving equation you get x= 1

Answer:

I think it is C

Step-by-step explanation:

Forgive me if I am wrong the reason I think so is  I did one like this last week. Sorry if it is wrong trying to remember.