The area of a rectangle is 36 in². The perimeter of the rectangle is 36 in. What are the dimensions of the rectangle to the nearest hundredth of an inch?


b. How can the discriminant of the equation help you solve the problem?

It is either 1 1/4c or 5/4c when the expression created in Part B with a fractional coefficient.

In mathematics, numerical coefficients and literal coefficients are the two main types of coefficients that are used. Both a numerical and literal coefficient: The number being multiplied by the variable is the numerical coefficient (s).

It is not advisable to utilize fractions as stoichiometric coefficients. Every stoichiometric coefficient must be multiplied by the denominator whenever there is a fraction in order to get whole values and keep the mole ratio constant.

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Answer:

.8

Step-by-step explanation:

Because 24/30 is 80% so the decimal is .8

when developing the formula for s(M1-M2), we consider the amount of error for each sample mean, the estimated standard error of M as a statistic, and use an average estimate when dealing with different sample sizes. This helps us determine the total amount of error when using two sample means to approximate two population means.

The independent-measures t statistic is used to determine the total amount of error when using two sample means to approximate two population means. To develop the formula for s(M1-M2), we consider the following points:

1. Each of the two sample means represents its own population mean, but there is some error involved in each case. This error is referred to as the "amount of error."

2. The "amount of error" associated with each sample mean is measured by the estimated standard error of M (sM). This statistic helps us understand how much the sample means may deviate from their respective population means.

3. To find the total amount of error involved in using two sample means to approximate two population means, we consider the size of each sample. If the samples are the same size, we can find the error from each sample separately and add the two errors together.

4. When the samples are of different sizes, a "pooled" or "average estimate" is used to account for the different sample sizes. This approach allows the larger sample to carry more weight in determining the final value of the t statistic.

In summary, when developing the formula for s(M1-M2), we consider the amount of error for each sample mean, the estimated standard error of M as a statistic, and use an average estimate when dealing with different sample sizes. This helps us determine the total amount of error when using two sample means to approximate two population means.

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The equation that Joey can use to determine how many months it will take to reach his goal will be 8 + 3x = 50 and the number of months is 14.

From the information, Joey's favorite present is the 8 baseball cards that he got from his dad and he has never owned a baseball card before this gift and he plans to collect 3 baseball cards each month until he has a total of 50 cards.

This will be illustrated as:

8 + 3x = 50

Collect like terms

3x = 50 - 8

3x = 42

Divide through 3

3x / 3 = 42 / 3

x = 14

The number of months is 14.

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Step-by-step explanation:

a diagram is necessary. please provide a diagram.

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

f(g(x)) = x² - 6x + 8

Step-by-step explanation:

to evaluate f(g(x)) , substitute x = g(x) into f(x)

f(x² - 6x + 13)

= x² - 6x + 13 - 5 ← collect like terms

= x² - 6x + 8

We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

Answer:

let n= hours past and t(n)=total number of cells

Part 1) t(n)= 2^n

Part 2) t(n)=2^24=16777216

Part 3) t(n)=2^168=2^168

transfer 2^168 into a number because I can't at the moment.

Step-by-step explanation:

ik this is kind of self promo but if you need any more help find me at "riztofu" an art account on insta if you have it.

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

Answer:

2√2

Step-by-step explanation:

By simplifying we get the value is \(2\sqrt{2}\)

The combination in which numbers, variables, functions are present, is called expression.

Example : 6y-3x+2, 2y-3 etc.

The given expression is \(\frac{1}{\sqrt{2}+1 } +\frac{1}{\sqrt{2}-1 }\)

Simplifying,

First we take the LCM of \(\sqrt{2}+1\) & \(\sqrt{2}-1\)

Then expression becomes, \(\frac{(\sqrt{2}-1)-(\sqrt{2}+1) }{(\sqrt{2}+1)(\sqrt{2}-1)}\)

Now, using \((a+b)(a-b)=a^{2}- b^{2}\) we get, \(\frac{\sqrt{2}-1+\sqrt{2}+1 }{(\sqrt{2}) ^{2} - 1^{2} }\)

Now, simplifying, we get,  \(\frac{2\sqrt{2} }{2-1}\) = \(2\sqrt{2}\)

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12. The function represents exponential growth with a growth rate of 65%.

13. The function represents exponential growth with a growth rate of 20%.

14. The function represents exponential decay with a decay rate of 60%.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

An exponential function will represent growth or decay as follows:

Hence we just look at the b values for each function to verify if they represent growth or decay.

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Answer:

I think it is 52 degrease

Step-by-step explanation:

Answer:

12 sides

Step-by-step explanation:

divide 360 (a polygons interior angle always add up to 360) by 30 to get 12 sides

The height of the tree is approximately 156.7 feet.

What is Trigonometry?

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

The height of the tree can be calculated using trigonometry.

Let's call the height of the tree "h".

Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:

tan(33°) = h / 90

Solving for h, we get:

h = 90 * tan(33°)

Using a calculator to find the value of tan(33°), we get:

h = 90 * 1.730

h ≈ 156.7 feet

So, The height of the tree is approximately 156.7 feet.

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The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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Answer:

32.92

Step-by-step explanation:

well you just do base times height

the height is 3.5

the area of the base is 3 * pi which is 9.42 if you round pi to 3.14

so 3.5*9.42= 32.92

Answer:

option 4

Step-by-step explanation:

y = 4x-3

y = 4(1)-3

y = 1

y = 4(3)-3

y = 9

y = 4(5)-3

y = 17

y = 4(7)-3

y = 25

Step-by-step explanation:

distance divided by rate = time

d / (4 km/hr)   +  d/ (6 km/hr)    =  .75  hr                (.75 is 45 minutes)

d/4 + d/6 = .75

3d/12 + 2d/12 = .75

5d = 12 * .75

5d = 9

d = 9/5 km  = 1 4/5 km = 1.8 km

16 is the answer

Step-by-step explanation:

it is right

Answer:

9x^2-2x+2

Step-by-step explanation:

5x + 8 + 9x^2 − 7x − 6

Combine like terms

9x^2+5x-7x+8-6

9x^2-2x+2

Answer:

Step-by-step explanation:

5x + 8 + 9x^2 - 7x - 6

= 9x^2  - 2x + 2.

The chance of spelling C-H-A-N-C-E in that order is 0.0015 or 0.15%.

To calculate this, we need to multiply the probabilities of drawing each letter in the correct order.
For the first letter, C, there are 3 C tiles out of 15 total tiles, so the probability is 3/15 or 1/5.
For the second letter, H, there are 3 H tiles out of 14 remaining tiles, so the probability is 3/14.
For the third letter, A, there are 3 A tiles out of 13 remaining tiles, so the probability is 3/13.
For the fourth letter, N, there are 3 N tiles out of 12 remaining tiles, so the probability is 3/12 or 1/4.
For the fifth letter, C, there are 2 C tiles out of 11 remaining tiles, so the probability is 2/11.
For the sixth letter, E, there are 3 E tiles out of 10 remaining tiles, so the probability is 3/10.
Multiplying all of these probabilities together gives us the overall probability of spelling C-H-A-N-C-E in that order:
(1/5) * (3/14) * (3/13) * (1/4) * (2/11) * (3/10) = 0.0015 or 0.15%

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Answer:

you must multiply the numerator and denominator by 6

Step-by-step explanation:

because 5 x 6 = 30

Answer:

12/30

Step-by-step explanation:

If you do 2 x 6 it = 12 and if you do 5 x 6 it = 30 you multiply both the numerator and the denominator by 6

Answer:

Equation: y=45x+1000

A. $45

B. 1,000

C. y=45x+1000-->Independent=1,000-->Dependent=45

D. y=45(20)+1,000=1,900

E. 30 weeks

Step-by-step explanation:

To solve step "E", you must set up an equation.

Specifically--> 45x+1,000=2350, then solve

45x=1350

x=30

Answer:

False.

Step-by-step explanation:

The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)

Answer:

\(\huge\boxed{-9r^2-2r+r^2+r=-8r^2-r}\)

Step-by-step explanation:

\(-9r^2-2r+r^2+r\)

combine like terms

\((-9r^2+r^2)+(-2r+r)=-8r^2-r\)

The given expression  –9r² – 2r + r² + r is written in simplest form as -8r² -r.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

The expression is given in the question as:

–9r² – 2r + r² + r

To write the expression in simplest form, we can combine like terms:

⇒ –9r² – 2r + r² + r

⇒ (-9r² + r²) + (-2r + r)

⇒ -8r² - r

The expression is written in simplest form as -8r² -r.

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Answer:

Step-by-step explanation:

1. f(x) = 5x² + 3x - 1

a. f(0) = 5·0² + 3·0 - 1 = -1

b. f(-1) = 5(-1)² + 3(-1) - 1 = 1

Do the same for f(2), f(√2), f(a+2), and f(a).

Then do the same thing for the next function.

2. f(x) = x/(1-x)

a. f(0) = 0/(1-0) = 0

Do the same for f(-1), f(2), f(√2), f(a+2), and f(a).