I just need the answers to my math homework

\(\huge\fbox{Answer ☘}\)

\(\bold{3( \frac{27}{8} ) {}^{ \frac{2}{3} \times - 1} = 2( \frac{32}{243} ) {}^{2x} }\\ \\3(( \frac{3}{2} ) {}^{3} ) {}^{ \frac{2}{3} \times - 1 } = 2(( \frac{2}{3} ) {}^{5} ) {}^{2x} \\\\ 3( \frac{3}{2} ) {}^{2 \times - 1} = 2( \frac{2}{3} ) {}^{10x} \\\\ 3( \frac{2}{3} ) {}^{2} = 2( \frac{2}{3} ) {}^{10x} \\\\

3( \frac{4}{9} ) = 2( \frac{4}{9} ) {}^{5x} \\\\\bold\pink{ comparing \: powers }\\\\5x = 1 \\\\ \bold\blue{x = \frac{1}{5} } \)

hope helpful~

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

n=9

Step-by-step explanation:

Rewrite the equation as 0.5n=4.5.

0.5n=4.5

Divide each term by 0.5 and simplify.

n=9

In summary, days of the month can be considered as an example of categorical data, specifically ordinal data, since they have a natural ordering but the differences between categories are not necessarily equal.

Categorical data is a type of data that represents characteristics or qualities of a group of individuals or objects. It is a type of data that is divided into categories or groups based on specific characteristics or attributes. Categorical data is sometimes also referred to as qualitative data. Categorical data can be further divided into two subtypes: nominal and ordinal data. Nominal data is characterized by categories that have no natural order or ranking, such as colors, names, or categories of a variable. For example, the color of a car (red, blue, green) is nominal data. Ordinal data, on the other hand, is characterized by categories that have a natural order or ranking, such as rankings, levels, or scores. For example, a student's grade level (freshman, sophomore, junior, senior) is ordinal data.

Here,

In the case of days of the month, each day can be classified into a specific category or group, which is the corresponding day number. For example, we can classify January 1st, 2023 as day 1, January 2nd, 2023 as day 2, and so on.

Categorical data is typically divided into two types: nominal and ordinal. Nominal data is characterized by categories that have no natural order or ranking, while ordinal data is characterized by categories that have a natural order or ranking.

Days of the month can be considered as ordinal data since they have a natural ordering from 1 to 31 (or 28/29/30 in the case of February). However, it is important to note that the difference between the days is not necessarily equal, meaning that the distance between, for example, day 1 and day 2 is not the same as the distance between day 15 and day 16.

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The vertex form of equation is y=1.(x+3)²+0

The standard form of the equation is ax²+bx+c=y and the vertex form of the equation is y= a(x-h)²+k,

Where k is a constant.

The given standard form of equation of parabola,

y=x²+6x+9

To change equation y=x²+6x+9 in vertex form, change the right-hand term in square form,

Y=(x+3)²

The vertex form of equation is,

Y=(x+3)²+0

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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answer

for the median its 7

for the mean its 6.

the mode is 9

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Median:The number in the MIDDLE when they are IN ORDER!

Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

Answer:

Step-by-step explanation:

\(x + 3 = 6\)

Move constant to R.H.S and change its sign:

\(x = 6 - 3\)

Calculate the difference

\(x = 3\)

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Answer:

3,-2.

Step-by-step explanation:

hope this helps. :-)

The translation of the statement is: Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age

The equation is given as:

1/2(f + y) = f - 5b

Before translating the equation, we make use of the following representations:

Using the above representations, we can translate the statement as:

Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age

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Answer:

acb

Step-by-step explanation:

Place the following events in sequence:

Nerve cells, also known as neurons, are "excitable" cells that can convert different stimuli into electrical signals by sending continuous sequences of information about the internal and external environment to the central nervous system (CNS).

These are found all over the body but are particularly concentrated in the brain and spinal cord. The nervous system is built on nerves as well as the brain and spinal cord.

The nervous system sends information from the brain and spinal cord to the rest of your body, so if part of this system is damaged, these signals can't be transmitted effectively which leads to balance problems and falls.

Thus, the following events in sequence:

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Answer:

379,000

Step-by-step explanation:

Answer:

3*14=42

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If we write out the numbers, we get:

F = 3M

M = 1/2R

R = 14

If Meg's pumpkin is 1/2 of 14, her pumpkin is 7 pounds.

That means Felipe has a pumpkin that weighs 7(3) =

21

The required number for the solution of the given inequality is -10. Option B is correct.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
x < -8

The above inequality implies that the solution of the x is all real values which is less -8, som from the options -10, -5, 0 only -10 satisfies the given conditions

Thus, the required number for the solution of the given inequality is -10. Option B is correct.

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The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

y = -5x - 29

Step-by-step explanation:

y-intercept form is y = mx +b,

m is slope, for parallel line slope is the same, so m= -5

y = -5x + b

To find b, we need to use the point (-5, - 4).

- 4 = -5*(-5) + b

- 4 = 25 + b

b = - 29

y = -5x - 29

Answer:

2

Step-by-step explanation:

Drawing a table to show the different weather and mood options :

The degree of freedom :

________ WEATHER ________

__________Rain ____ sunny _____ cloudy

Happy

|

Not happy

Here, we have a contingency table formatted in rows and columns

The columns = 3

The rows = 2

Degree of freedom :

(rows - 1) * ( columns - 1)

(2 - 1) * (3 - 1)

1 * 2

= 2

The degree of freedom = 2

Answer:

side b= 11.489

Step-by-step explanation:

well I'm doing the exact same lesson currently and I just did the test on this exact question soo yeahh

Answer:

a. The probability that a randomly selected adult is either overweight or obese is:

= 68.8%.

b. The probability that a randomly selected adult is neither overweight nor obese is:

= 31.2%

c.

D. No because you may be neither overweight nor obese.  The events "overweight" and "obese" are not exhaustive.

Step-by-step explanation:

Overweight adult = BMI ≥ 25 but < 30

Obese adult = BMI ≥ 30

Journal of the American Medical Association:

Overweight adult population in the United States = 33.1%

Obese adult population in the United States = 35.7%

The probability that a randomly selected adult is either overweight or obese = Percentage of overweight adult population + Percentage of obese adult population

= 33.1% + 35.7%

= 68.8%

The probability that a randomly selected adult is neither overweight nor obese = 1 - 68.8%

= 31.2%

The events "overweight" and "obese" can only be exhaustive if their combined probabilities of occurrence equals 1 or 100%.

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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3.

A = pi x r^2

48 = 3.141... x r^2

÷ by value of pi

15.278... = r^2

Square root the ans, to get r

Thus, R = 3.908..... So, radius is 3.9

2.

Circumference = pi x diameter

87. = 3.141... x d

÷ by value of pi

27.692............. = diameter

Radius is twice the diameter. So, divide diameter by 2 to find the radius.

27.692.....÷ 2 = 13.846...

Thus, radius is 13.8cm

Hope this helps!

Answer:

32 meters

Step-by-step explanation:

1 inch=4 meters

4(meters)x8(inches)=32 meters

======================================================

Work Shown:

(height on paper)/(real height) = scale factor

(8 inches)/(x meters) = (1 inch)/(4 meters)

8/x = 1/4

8*4 = x*1 .... cross multiply

32 = x

x = 32 meters

---------------------

Another way to get the answer

1 inch = 4 meters

8*(1 inch) = 8*(4 meters) ... multiply both sides by 8

8 inches = 32 meters

---------------------

Whichever method you use, you'll get 32 meters as the answer.

Answer:6^21

Step-by-step explanation:

Answer:

.32

Step-by-step explanation:

When converting percents to decimals, drop the percent sign, and move the decimal two places to the left.

~theLocoCoco

Answer:

option D.

Step-by-step explanation:

the graph from point A to B is increasing and from B to C it's remaining constant..so our answer would be option D..from point A to C the graph increases then remains constant.

Answer:

Step-by-step explanation:

he graph from point A to B is increasing and from B to C it's remaining constant..so our answer would be option D..from point A to C the graph increases then remains constant.

Answer:

The second answer - 40, 10, 20, 50

Step-by-step explanation:

Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.

Answer:

Which ever answer says 20. I think it is C

Step-by-step explanation:

The diagram shows that there are 3 angles that make up 90 degrees.

x + x + 50 = 90       Combine like terms on the left

2x + 50 = 90           Subtract 50 from both sides.

    - 50    -50

2x = 40                    Divide by 2

2x/2 = 40/2

x = 20

Answer: A,D

Step-by-step explanation:

I took the test