4. Find the perimeter of the hexagon. Round to the nearest
hundredth.

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Answer:

1, 2, 3

Step-by-step explanation:

Answer: 3*3 + 3*3 = 9 + 9 = 18

You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.

The size of the tumor grows exponentially with time, and the rate of growth is determined by the constant k.

The growth of a tumor can be modeled by exponential growth, which means that the rate of growth of the tumor is proportional to its current size. Therefore, we can write the differential equation satisfied by S, the size of the tumor, as a function of time t, as:

dS/dt = kS

where k is a positive proportionality constant. This equation is known as the exponential growth model and it states that the rate of change of the size of the tumor, dS/dt, is proportional to the size of the tumor, S, with the constant of proportionality being k.

Solving this differential equation gives us the following general solution for S as a function of time t:

S(t) = S0 * e^(kt)

where S0 is the initial size of the tumor at t=0. This equation shows that the size of the tumor grows exponentially with time, and the rate of growth is determined by the constant k.

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Answer:

[3, ∞]

Step-by-step explanation:

Answer:

5x-6=2

Step-by-step explanation:

Answer:

y = -6/5x + 3

Step-by-step explanation:

Slope intercept form:

y = mx + b

x is the slope

b is the y-intercept

x = -6/5

b = (0, 3) or 3

y = (-6/5)x + (3)

y = -6/5x + 3

Answer: 16870

Step-by-step explanation:

The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

Since the invested amount is $8,400

The rate of interest is 5.4%

In quartely it should be \(= 5.4\% \div 4\) = 1.35%

The time period is \(= 13 \times 4\) = 52

So, here the future value be like

\(= \$8,400 \times (1 + 1.35\%)^{52}\)

= $16,870

Hence, The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

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Speed the top of the ladder is sliding down = 1.6ft/sec  when it is 12 feet away from the wall

15-foot ladder is leaning against a wall.

the top of the ladder is sliding down the wall at a rate of 2 ft/sec.

how fast is the bottom of the ladder moving when it is 12 feet away

Using equivalent proportion

15 ft -------------------2ft/sec

12 ft-------------------X ft/sec

Hence X = (12 x 2) ÷ 15 =1.6 ft/sec

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Answer: 15.625 ft^3

Step-by-step explanation:

The volume of a cube is the side length cubed.

Therefore, the volume of this cube would be equal to 2.5^3

2.5^3 = 15.625 ft^3

Answer:

B is the correct answer.

Step-by-step explanation:

graph attached below, with red as the parent function (f(x)=3^x) and blue as the change (f(x)=3^x-8).

Answer:

B

Step-by-step explanation:

B is the correct answer

Answer:

-3 1/8

Step-by-step explanation:

I took the test and it was correct test was unit 3

The change in the amount of water in the pool after 1 1/2 minutes in 3 3/24 gallons of water.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Each minute, the faucet allows 14 2/3 gallons of water to enter the pool.

And, The drain allows 16 3/4 gallons to leave the pool.

Now,

The change in the amount of water in the pool is,

= 16 3/4 - 14 2/3

= 67/4 - 44/3

= (201 - 176) / 12

= 25/12

= 2 1/12 gallons of water

Hence, For each minute, 2 1/12 gallons of water leaves the tank.

So, In 1 1/2 minutes, The amount of water that will leave the tank is;

= 1 1/2 x 2 1/12

= 3/2 x 25/12

= 75/24

= 3 3/24

Thus, The change in the amount of water in the pool after 1 1/2 minutes in 3 3/24 gallons of water.

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-1/7, since parallel lines have equal slopes.

Answer:

The error made by the student was that they didn't distribute the 7 first, they just added -2 and 7. The correct way would be to distribute first:

-2+7(x+8)

-2+7x+56

54+7x

*Hey! Hope this helped : )*

Answer:

7x + 54

Step-by-step explanation:

Given

- 2 + 7(x + 8)

The student made the error of adding before multiplying, that is

- 2 + 7 = 5 , then multiplying (x + 8) by 5

However, multiplication is performed before addition/ subtraction, thus

- 2 + 7(x + 8) ← distribute by 7

= - 2 + 7x + 56 ← collect like terms

= 7x + 54

Answer:

30.3% im so sorry if this is wrong if it is u can report this :(

Step-by-step explanation:

Answer:

23.3%

Step-by-step explanation:

You have to first take the estimated value - the actual value

= 145-189 = -44

Then you want to take -44 divide the actual value which is 189

= -44 / 189= 0.232804233

Lastly, you want to take 0.232804233 and multiply it by 100

= 0.232804233 x 100= 23.28042328

Round that number to get

=23.3%

21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

Answer: I am pretty sure it is a rational number!

Step-by-step explanation:

Tracy need 5 weeks to save enough money to buy a new guitar.

Given that,

Tracy is saving to buy a new guitar. Which having costs $253.77(including tax).

Tracy has already saved $136. 27.

Now she needs = 253. 77- 136. 27

                          = $117.50

she can save each week = $23. 50

Tracy will take weeks to save enough money

     = \(\frac{117.50}{23.50}\)

     = 5 weeks.

Therefore, Tracy need 5 weeks to save enough money to buy a new guitar.

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Answer:

\(\huge\boxed{\sf 22.5}\)

Step-by-step explanation:

45% of 50

Key: % means out of 100 and of means to multiply.

\(\displaystyle \frac{45}{100} \times 50\\\\= 0.45 \times 50\\\\= 22.5\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

Step-by-step explanation:

Step-1: Write the formula.

Step-2: Solve it.

Hence, 45% of 50 is 22.5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

x= 28 and y=21

Step-by-step explanation:

x - y = 7

x + y = 49

add the two equation and the y's will cancel out

2x = 56  divide by 2

x = 28

replace 28 for x in the first equation and solve for y

28 - y = 7

y = 21

Answer:

the answer is b

Answer:

angle XYW = -20x + 155

Step-by-step explanation:

angle XYZ = 150

angle WYZ = 20x - 5

angle XYW = y

angle XYZ = 20x - 5 + y

150 = 20x - 5 + y

150 + 5 = 20x + y

y = -20x + 155

So angle XYW = -20x + 155

Alright, so they want you to find the probability of landing on 4 or 2.

There are 8 numbers total so that will be our denominator x/8

There are two outcomes we are finding the probability, that gives us 2/8

We must simplify the fraction into its lowest form.

2/8=1/4

Your answer would be 1/4

The Spearman-Brown formula is used to adjust the reliability estimate of a test when concerns arise about the shortness of the test, i.e., the limited number of test items. Thus, B is correct.

The formula takes into account the number of items in the test and calculates the expected increase in reliability if the test were to be made longer. The formula is based on the assumption that adding more items to a test would increase its reliability, and thus provides a way to estimate the theoretical minimum length of a test required to achieve a desired level of reliability.

The formula is widely used in psychological testing and educational measurement to evaluate the reliability of test scores and to make decisions about the number of items needed in a test to achieve a desired level of reliability.

This question should be provided as:

The Spearman-Brown formula is for which purpose?

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The value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

The given equations are \(y=4x+7\) and \(y=9x+8\).

We have to solve these equations using the substitution method.

Substitution Method

In this method we find the value of one variable from one equation using elimination method and then put that value of that variable in other equation. In simple word we substitute value of one variable from one equation to the other equation.

In the given equation the two equation are

\(y=4x+7\dots\dots\dots\)Equation \((1)\)

\(y=9x+8\dots\dots\dots\)Equation \((2)\)

Putting the value of \(y\) from the Equation \((1)\) in the Equation \((2)\)

\(4x+7=9x+8\)

Subtract \(8\) on both side

\(4x+7-8=9x+8-8\)

Simplifying

\(4x-1=9x\)

Subtract \(4x\) on both side

\(4x-1-4x=9x-4x\)

Simplifying

\(-1=5x\)

\(5x=-1\)

Divide by \(5\) on both side

\(\frac{5}{5}x=-\frac{1}{5}\)

\(x=-\frac{1}{5}\)

Now putting the value of \(x\) in equation \((1)\)

\(y=4(-\frac{1}{5})+7\)

Simplifying

\(y=-\frac{4}{5}+7\)

\(y=-\frac{4}{5}+7\times\frac{5}{5}\)

\(y=-\frac{4}{5}+\frac{35}{5}\)

\(y=\frac{-4+35}{5}\)

\(y=\frac{31}{5}\)

Hence, the value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

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Answer:

\(Total = 805ft\)

Step-by-step explanation:

Given

\(Jay's = 525ft\)

\(Asha's = 280ft\)

Required [Missing from the question]

The total distance walked

To do this, we simply add up the distance walked to Jay's and then to Asha's house.

So, we have:

\(Total = Jay's + Asha's\)

\(Total = 525ft + 280ft\)

\(Total = 805ft\)

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

Explanation

To answer this given question, we will make use of the Empirical rule of normal distribution

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

The image below helps gives a clearer understanding

So in our case, since the mean is 189 mg/dL and the standard deviation is 23

Then we will have the following values at

\(\mathbb{PROBLEM : } \)

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

\( \tt10. Simplify : \: (4x2 - 2x) - (-5x2 - 8x).\)

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

\(\mathbb{ANSWER : }\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \underline \red{ 3x(3x + 2)}\)

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

\(\mathbb{SOLUTION : }\)

\( \: \: \: \: \: \: \: \: \: \tt(4x2 - 2x) - (-5x2 - 8x)\)

\( \: \: \: \: \: \: \: \: \: \tt= 4x2 - 2x + 5x2 + 8x\)

\( \: \: \: \: \: \: \: \: \: \tt{= 4x2 + 5x2 - 2x + 8x}\)

\( \: \: \: \: \: \: \: \: \: \tt{= 9x2 + 6x}\)

\( \tt{Answer: } \tt \underline \red{3x(3x + 2)}\)

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The first quartile of the data set is 48.

Here is a list of 27 scores on a Statistics midterm exam: 20, 30, 31, 32, 46, 48, 49, 52, 54, 59, 61, 69, 71, 73, 74, 79, 81, 81, 81, 85, 86, 87, 88, 91, 94, 96, 97. Find Q2 and Q1.The median is the middle number of a data set arranged in ascending or descending order. There are 27 numbers in this data set. As a result, the median will be the 14th value when sorted in ascending order. The data set is given in ascending order. As a result, the median of the data set is 81. To find the first quartile or Q1 of this data set, the formula below will be used: Q1 = (n+1)/4th term Q1 = (27+1)/4th termQ1 = 7th terTo find the 7th term, the data set must be arranged in ascending order. The 7th term of the data set is 48.Therefore, the first quartile of the data set is 48.

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