The large rectangle shown here is 3cm by 5 cm. What is a direct way to determine the area of the rectangle in square centimeters that relies on the meaning of area?

The solution to the exponential equation 7^(3 – 2x) = 7^(-x) is 3

7^(3 – 2x) = 7^(-x)

3 - 2x = - x

collect like terms

3 = - x + 2x

3 = x

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Answer:

[tex]y^{12} + b^{8} \\OR\\12y + 8b[/tex]

Step-by-step explanation:

If the statement is  

[tex]y^{12} + b^{16-8} \\y^{12} + b^{8} \\[/tex]this can't be more simplified

If the statement is

[tex]y{12} + b{16-8} \\y{12} + b{8} \\\\rearrange\\12y + 8b[/tex]

Answer:

18 inches

Step-by-step explanation:

Equation is (2x-32)(x)=72, where x represents length and (2x-32) represents the width. When you simplify the equation, it ends up as 2x^2-32x-72=0. After factoring, you get 2(x-18)(x+2). Since x cannot be negative, it would therefore be 18. If you plug it back into the equation, you can see that it is right :)

Answers.

[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]

[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]

[tex]35 - 12 + 54 \\ 77[/tex]

Step-by-step explanation:

Because probability is always one(1).

Probability =

[tex]1 - \frac{2}{10} [/tex]

[tex] \frac{8}{10} [/tex]

[tex] \frac{4}{5} [/tex]

Is the probability of not choosing a red marble.

Answer:

If you mean 656, then the answer is 509,712.

Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.

Answer:

a and b is ur answer

Step-by-step explanation:

Answer:

2j + 8

Step-by-step explanation:

Given:  8 more than twice Jenny's age

Let j = Jenny's age

"twice Jenny's age" means double (multiply by 2) Jenny's age  = 2j

"more than" means to add, so "8 more than" = + 8

Therefore:

"8 more than twice Jenny's age" = 2j + 8

The age of a tree when the diameter is 11 inches is 80.

The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.

The equation that can be used to represent the age of a tree given its diameter is :

age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)

10 + (10 x 7)  = 80

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Answer:

it is  C    S = {AB, AC, AD, BC, BD, CD}

Step-by-step explanation:

i just took it edge 2022 good luck

The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we  have,

Given :

Total T-shirts =4

He chose T-shirt to take on weekend trip = 2

In an random trial or experiment , the set of all possible outcomes or results of that experiment is called the sample space of it.

If the t-shirts are labeled A, B, C, and D,

then its sample space of the event is given by

S= {AB, AC, AD, BC, BD, CD}

Hence, The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}

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i really hope this helps :))))

Answer:

Step-by-step explanation:

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.

Answer:

The sum of the interior and exterior angles = 8640+360 = 9000 deg. So, the regular polygon has 9000/180 = 50 sides. Its name is pentacontagon

Step-by-step explanation:

Answer:

exponential growth

Step-by-step explanation:

f(x) = 4 * 2^x

This function is in the form

y = a * b^x  where a is the initial value and b is the growth or decay rate

This is  exponential form

if b > 1 then it is growth

0< b < 1 it is decay

b =2 so it is growth

[tex]\text{L.H.S}\\\\=\dfrac{\sin A \tan A}{1- \cos A}\\\\\\=\dfrac{\sin A \cdot \tfrac{\sin A}{\cos A} }{ 1- \cos A}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\tan A = \dfrac{\sin A }{\cos A}\right]\\\\\\=\dfrac{\tfrac{\sin^2 A}{ \cos A}}{1- \cos A}\\\\\\=\dfrac{\sin^2 A}{\cos A(1-\cos A)}\\\\\\=\dfrac{1-\cos^2 A}{\cos A( 1- \cos A)}~~~~~~~~~~~~~~~~~~~~~~~~;[\sin^2 A + \cos^2 A = 1]\\\\\\[/tex]

[tex]=\dfrac{(1+ \cos A)(1 - \cos A)}{\cos A(1 - \cos A)}\\\\\\=\dfrac{1+ \cos A}{ \cos A}\\\\\\=\dfrac{1}{\cos A} + \dfrac{\cos A}{ \cos A}\\\\\\=\sec A + 1 \\\\\\=1+ \sec A\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

√121 = 11

Explanation:

11 × 11 = 121

Answer:

11

Step-by-step explanation:

The square root of 121 is 11.

= 11*11 = √(121)

= 121 = 11

done

The graph of the given linear equation is the one that you can see below.

To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.

For x = 0 we have:

y = 15 - 4*0 = 15

So we have the point (0, 15).

For x = 1 we have the point:

y = 15 - 4*1 = 11

So we have the point (1, 11).

Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.

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Mean measure of central tendency is the most affected by outliers. Then the correct option is B.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

Mean measure of central tendency is the most affected by outliers.

Then the correct option is B.

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The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1. The hypothesis can not be concluded.

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

For the given problems, the Hypothesis mean is 4.5. The sample mean was 4.75 hours with a normal standard deviation of 2.0.

Now, calculating the z-score,

[tex]z = \dfrac{\bar x - \mu_o}{\dfrac{\sigma}{\sqrt n}}\\\\\\z = \dfrac{4.75-4.5}{\dfrac{2}{\sqrt{15}}}\\\\\\z = 0.48[/tex]

Now, as per the standard normal table, the p-value is 0.6844. Since the p-value is greater than the significance level, the hypothesis can not be concluded.

Hence, The hypothesis can not be concluded.

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Answer: 50 mg

Step-by-step explanation:

Substituting into the half-life formula, we get that

[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]

So, after 100 years,

[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/tex]

Answer:

Step-by-step explanation:

(4x³)² (3x)⁵ = 4²(x³)² (3)⁵(x)⁵

                 = 16x⁶ (243)x⁵

                 = (16 × 243) (x⁶ × x⁵)  [commutative property]

                 = (3888) (x¹¹)   [exponent property]

                 = 3888x¹¹

Answer:

B

Step-by-step explanation:

On edge