Please help!!!! Solve the formula for the indicated variable.
x-2
= m +n for x
2
O A. x = 2m +4
O B. X=
= 2(m+n)+2
O C. X = 2m +n +4
O D.
m+n
7= +2
2

Answer:

\(8x - 5 + 2x \\ 10x - 5 \\When x=-1 ; \\ 10( - 1) - 5 \\ - 10 - 5 = - 15\)

I hope I helped you^_^

The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:

B. ∠ABC and ∠CBD are supplementary.

D. ∠ABC and ∠CBD are adjacent angles.

In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.

According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:

∠ABC + ∠CBD = 180° (supplementary angles)

m∠ABC ≅ m∠CBD (adjacent angles)

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The annual rate of decline is 5.3%.

What is exponential ?

Exponential refers to a mathematical function where the variable is in the exponent. Exponential functions have the general form:

\(f(x) = a^{x}\)

here "a" is a constant called the base, and "x" is the variable. When the base "a" is a positive number greater than 1, the function grows exponentially as "x" increases. When the base "a" is a number between 0 and 1, the function decays exponentially as "x" increases.

We can start by using the formula for exponential decay:

\(N(t) = N0 * (1 - r)^{t}\)

where N(t) is the population after t years, N0 is the initial population, r is the annual rate of decay (as a decimal), and t is the time in years.

We are given that the initial population is 670, so N0 = 670. After 4 years, the population has reduced to 557, so N(4) = 557. We can plug these values into the formula and solve for r:

\(557 = 670 * (1 - r)^{4}\)

\((557/670)^{1/4} = 1 - r\)

\(0.947 = 1 - r\)

\(r = 0.053\)

So the annual rate of decline is 5.3%.

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Answer:

we have to factories it in both activities..

Answer:

Step-by-step explanation:

Activity 2:

c² - 6c - 40

Sum = -6

Product = -40

Factors= -10 , 4

c² - 6c -40 = c² - 10c - 4c - 10*4

                = c(c - 10) - 4(c - 10)

               = (c -10) (c -4)

e²  + 10e +16

Sum = 10

Product = 16

Factors= 2 , 8

e² + 10e + 16 = e² + 2e + 8e + 2*8

                      = e(e + 2) + 8(e + 2)

                     = (e + 2)(e +8)

h²  - 5h  - 24

Sum = -5

Product = -24

Factors = 3 , -8

h²  - 5h - 24 = h²  + 3h - 8h - 3*8

                     = h(h + 3) - 8(h + 3)

                    = (h +3)(h - 8)

3x²  - 5 x - 12

Sum = -5

Product = -12 * 3 = - 36

Factors = -9 , 4

3x²  - 5x - 12 = 3x²  - 9x + 4x - 4*3

                    = 3x(x - 3) + 4(x - 3)

                   =(x - 3) (3x + 4)

4x²  + 4 x  - 15

Sum = 4

Product = 4 * -15 = - 60

Factors = 10 , -6

4x²  + 4x - 15 = 4x²  + 10x - 6x - 3*5

                      =2x (2x + 5) - 3(2x +5)

                     = (2x + 5)(2x - 3)

Answer:

The slope is -4.

Step-by-step explanation:

The formula to find slope is y2 - y1 / x2 - x1

Step 1: 9-1 / 6 - 8

Step 2: 8/-2

Step 3: Simplify: The slope is -4

Hope this helps!

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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Answer:

B

Step-by-step explanation:

all you need to do is add 5 to the y for example ( -5, 5) add 5 to the (x,5) to make ( -5,10). As you can see only the y value is shifting, not the x value, that's why you need to add 5 to all the y values.

So the answer here is B.

Answer:

B

Step-by-step explanation:

The answer is B because 5 units up from 5 is 10. A and B both have a y coordinate of 5 and the answer letter B is the only one that mention 10 as a y coordinate twice

This means that there is a 50% chance that the outcome of a trial will be 17.

The given table represents the frequency distribution of a discrete random variable X, which has four possible outcomes: 15, 16, 17, and 18. The frequency of each outcome indicates the number of times that outcome occurs in 16 trials.

To calculate the probability of a specific outcome, we divide its frequency by the total number of trials. In this case, we want to find P(X=17), which is the probability that the outcome of a trial is 17. From the table, we see that the frequency of X=17 is 8, which means that 17 occurred 8 times out of 16 trials. Therefore,

P(X=17) = frequency of X=17 / total number of trials = 8 / 16 = 0.5

This means that there is a 50% chance that the outcome of a trial will be 17.

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Full Question: The Following Table Is Based On 16 Trials. X 15 16 17 18 Frequency 2 4 8 2 Based On The Table, What Is P(X=17)? Leave Your Answer In Decimal Form To Three Places.

The following table is based on 16 trials.

x 15 16 17 18

frequency 2 4 8 2

Based on the table, what is P(x=17)?

Leave your answer in decimal form to three places.

The approximate commission at the rate of 7% is $650.82

What is area of triangle?

The area occupied by a triangle is known as area of triangle. The area if computed as 1/2*base*height

We are given the, base of 1500 feet and a height of 600 feet

Hence the area of triangle can be given as

Area= 0.5*1500*600

Area= 450000 ft^2

Now 1 acre costs as 43560 sqft

Hence the area of triangle in acres is

Area in acres = \(\frac{450000}{43560}\)

Area in acres= 10.33

Hence total amount for which the piece of land is sold = 10.33*900

Total amount= $9297

Now we have to find the 7% of this amount

Hence

\(=\frac{9297*7}{100}\\=650.82\)

Hence the amount received as commission is $650.82

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Answer:

7/4=5/3 is the answer

The calculated equation of the line is y = -8x + 1

From the question, we have the following parameters that can be used in our computation:

y=1/8x-2

Point = (-1, 9)

Perpendicular lines have equal slopes

This means that the slope of the line is -8

So, the eqiuation is calculated as

y = m(x - x1) + y1

Substitute the known values in the above equation, so, we have the following representation

y = -8(x + 1) + 9

Evaluate

y = -8x + 1

Hence, the equation is y = -8x + 1

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Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

The equation could be used to determine x, the cost of labor per hour is

92x + 4 = 272. Option D

The equation reads as follows: 4x plus 77 equals 497, where 4x stands for the cost of labor per hour, 77 for the cost of the components, and 497 for the overall sum.

Generally, the equation for the expression  is  mathematically given as

4x + 92 = 272

4x + 92-92 = 272 - 92

4x = 180

x = 45

In conclusion, The equation could be used to determine x,

x = 45

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We can rewrite ( 6 \sin (x)-1 \cos (x) ) as:

[ 6 \sin (x)-1 \cos (x) = \sqrt{37} \sin \left( x - 5.119 \right) ]

We can rewrite ( 6 \sin (x)-1 \cos (x) ) in the form of ( A \sin (x+\phi) ) as follows:

[ 6 \sin (x)-1 \cos (x) = A \sin (x+\phi) ]

To determine the values of ( A ) and ( \phi ), we can use the following trigonometric identities:

[ \sin(a+b) = \sin a \cos b + \cos a \sin b ]

[ \sin^2 x + \cos^2 x = 1 ]

Let's first square both sides of the equation:

[ (6 \sin x - \cos x)^2 = A^2 \sin^2(x + \phi) ]

Expanding the left-hand side using the identity ( \cos^2 x = 1 - \sin^2 x ):

\begin{align*}

(6 \sin x - \cos x)^2 &= (6 \sin x)^2 - 2 \cdot 6 \sin x \cos x + (\cos x)^2 \

&= 36 \sin^2 x - 12 \sin x \cos x + \cos^2 x \

&= 37 \sin^2 x - 12 \sin x \cos x - 1

\end{align*}

Substituting this expression back into the original equation, we get:

[ 37 \sin^2 x - 12 \sin x \cos x - 1 = A^2 \sin^2(x + \phi) ]

Using the identity ( \sin(a+b) = \sin a \cos b + \cos a \sin b ), we can expand ( \sin^2(x+\phi) ) as:

[ \sin^2(x+\phi) = (\sin x \cos \phi + \cos x \sin \phi)^2 = \sin^2 x \cos^2 \phi + 2 \sin x \cos x \sin \phi \cos \phi + \cos^2 x \sin^2 \phi ]

We can simplify this expression using the identity ( \sin^2 x + \cos^2 x = 1 ) and rearranging terms:

[ \sin^2(x+\phi) = \sin^2 x (\cos^2 \phi + \sin^2 \phi) + 2 \sin x \cos x \sin \phi \cos \phi = \sin^2 x + 2 A_1 \sin x \cos x + A_2 \cos^2 x ]

where ( A_1 = A \sin \phi ) and ( A_2 = A \cos^2 \phi ).

Comparing coefficients with the previous equation, we get:

\begin{align*}

37 &= A^2 \

-12 &= 2 A_1 = 2 A \sin \phi \

-1 &= A_2 = A \cos^2 \phi

\end{align*}

Solving for ( A ) and ( \phi ), we get:

[ A = \sqrt{37} ]

[ \sin \phi = -\frac{6}{\sqrt{37}} \Rightarrow \phi = -\sin^{-1} \left( \frac{6}{\sqrt{37}} \right) \approx -1.164 ]

Since ( \phi ) should be in the interval ( -\pi < \phi \leq \pi ), we can adjust ( \phi ) by adding or subtracting multiples of ( 2 \pi ):

[ \phi \approx 5.119 ]

Therefore, we can rewrite ( 6 \sin (x)-1 \cos (x) ) as:

[ 6 \sin (x)-1 \cos (x) = \sqrt{37} \sin \left( x - 5.119 \right) ]

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Answer:

A=36 a means area

Step-by-step explanation:

A=a+b/2

h=6+12/2

times 4=36

Answer:

=36cm^2

Step-by-step explanation:

6-12=6 (total cm of the bases for triangle B and C)

6/2= 3 (base of B and C trialngleis 3  )

Triangle formula: bh 1/2

(base)b= 3cm

height(h)=4

Formula: (3)(4) 1/2

=12 1/2

=6cm^2

^ area of 1 triangle

There are 2, so

6*2=12cm^2 (area of triangles )

Area of rectangle: L*W

4*6=24cm^2

Total area of trapezoid

=24cm^2+12cm^2

=36cm^2

The old monthly payment was =  10.67 x 70 = 746.9

The new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

Given,

Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan

According to the question:

So, per thousand value of $70,000 is 70000/1000 =70

Now, the old monthly payment was =  10.67 x 70 = 746.9

He decides to renew and will now pay $11.10 monthly per thousand on his loan.

So, the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100

9.8406 % and to nearest tenth it is 9.8406%

Hence,  the old monthly payment was =  10.67 x 70 = 746.9

the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

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Answer:

135 points

Step-by-step explanation:

We can solve this easily, 30x4=120+15=135

So, after shopping 30 times you would have 120 points plus the 15 you got when making the account, in total 135 points.

The statement regarding a radiography program graduate having four attempts over a three-year period to pass the ARRT exam is insufficiently defined, and as a result, cannot be determined as either true or false.

The requirements and policies for the ARRT exam, including the number of attempts allowed and the time period for reattempting the exam, may vary depending on the specific rules set by the ARRT or the organization administering the exam.

Without specific information on the ARRT (American Registry of Radiologic Technologists) exam policy in this scenario, it is impossible to confirm the accuracy of the statement.

To determine the validity of the statement, one would need to refer to the official guidelines and regulations set forth by the ARRT or the radiography program in question.

These guidelines would provide clear information on the number of attempts allowed and the time frame for reattempting the exam.

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The probability of the random variable taking on a value greater than 10, based on the given sample data, is approximately 0.315.

To find the probability of a random variable taking on a value greater than 10 using the given sample data, we can follow these steps:

⇒ Calculate the sample mean (X) and the sample standard deviation () of the data set.

Sample Mean (X) = (-5.5 + 10.6 + 8.6 + 2.8 + 17.3 + 1.4 + 21.1 + 4.3 - 6.4 + 1.1) / 10 = 5.03

Sample Standard Deviation () = sqrt(((₁ - X)² + (₂ - X)² + ... + (ₙ - X)²) / ( - 1))

                        = sqrt(((-5.5 - 5.03)² + (10.6 - 5.03)² + (8.6 - 5.03)² + (2.8 - 5.03)² + (17.3 - 5.03)² + (1.4 - 5.03)² + (21.1 - 5.03)² + (4.3 - 5.03)² + (-6.4 - 5.03)² + (1.1 - 5.03)²) / (10 - 1))

                        ≈ 9.168

⇒ Calculate the z-score of the value 10 using the formula: z = ( - X) /

z = (10 - 5.03) / 9.168 ≈ 0.540

⇒ Find the probability of the random variable being greater than 10 using the standard normal distribution table or a calculator. The z-score corresponds to the area under the standard normal curve to the left of the z-score value.

From the standard normal distribution table, the probability corresponding to a z-score of 0.54 is approximately 0.705.

So, the probability of the random variable taking on a value greater than 10 is approximately 1 - 0.705 = 0.295.

Rounding this answer to three decimal places, we get 0.295.

Therefore, the correct answer choice is 0.315.

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Answer:

I DUNNO

Step-by-step explanation:

Answer:

BC = 19.371

Step-by-step explanation:

Use the cosine ratio:

Cos(71°) = 6.3/BC

BC = 6.3/Cos(71°)

BC = 19.371 cm

That's it, Best Regards!

The volume of sphere is 1437.33 if the given radius is 7 .

What is Surface area of sphere ?

Surface area of sphere can be defined as the product of four , pi and square of radius. And here the value of pi could be 3.14 or 22/7 .

Given ,

Volume of a sphere = 4/3πr³

π = 22/7

r = 7

Volume of a sphere = 4/3πr³

= 4/3 * 22/7 * 7³

= 4/3 * 22/7 * 7 * 7 * 7

= (4 * 22 * 7 * 7 * 7) / (3 * 7)

= 30,184/21

= 1437.3333333333

Volume of a sphere = 1,437.33

Therefore, the volume of sphere is 1437.33 if the given radius is 7 .

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The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.

To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).

Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result

Probability = 5 / 28

Simplifying this fraction, we get:

Probability ≈ 0.1786

Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

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The probability of rolling a 1 on the first roll and a 6 on the second roll is 1/36.

Since each roll is independent of the other, the probability of the first roll being a 1 and the second roll being a 6 is the product of the probabilities of each event happening separately.

The probability of rolling a 1 on the first roll is 1/6, and the probability of rolling a 6 on the second roll is also 1/6. Therefore, the probability of both events occurring is:

1/6 × 1/6 = 1/36

So the probability of rolling a 1 on the first roll and a 6 on the second roll is 1/36.

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Answer:

64% male

36% female

Step-by-step explanation:

We know

A class has 50 students, 18 female, and 32 male.

If a representative is chosen in their class, what is the probability of having a male?

32 divided by 50, times 100 = 64%

So, 64% that the representative is male.

If a representative is chosen for their class, what is the probability of having a female?

18 divided by 50, times 100 = 36%

So, 36% that the representative is female.

The percent, 16.24%, in fraction in the simplest form is 203/1250 and as a decimal is 0.1624.

According to the question,

We have the following information:

16.24%

Now, we will convert this percent into fraction by removing the sign of the percentage and then we will convert the obtained fraction into the simplest form by dividing both the numerator and denominator by the same number until they can not be divided further.

16.24/100

4.06/25

406/2500

203/1250

Now, converting this fraction as a decimal:

0.1624

Hence, the percent, 16.24%, in fraction in the simplest form is 203/1250 and as a decimal is 0.1624.

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just add them up! and then u shall be good

Answer:

36 units

Step-by-step explanation:

5 + 13 + 5 + 13

10 + 13 + 13

10 + 26

36

Answer:

s=I-t-m/7

s=a-12/3

s=g-22/5

s=r-q/-3