<6 and <7 form a linear pair. Twice the measurement of <6 is twelve more than four times the measurement of <7. Find the measurement of each angle.

Answer:

124m/s

Step-by-step explanation:

Answer:

-33

Step-by-step explanation:

We know that x = -3

So,

-3² + 2 x -3

9 + 2 x -3

11 x -3

-33

Answer:

370.1

Step-by-step explanation:

i just got the answer

Answer:

3x-3

expanding the brackets

3 times x and -1 times 3

Answer:

|14.1-(-5.2)|

Step-by-step explanation: I took the test  :>

The correct expression in the box is | 14.1 - ( - 5.20) |.

A number line is a horizontal line in which we represents all he real numbers which includes all rational and irrational numbers.

According to the given question we have to find an expression which represents the distance between 14.1 and - 5.20 in the number line.

We know to find the distance between two numbers we subtract the smaller number from the bigger number.

Here the larger number is 14.1 and the smaller number is - 5.20.

∴ { 14.1 - ( - 5.20) }

= 14.1 + 5.20

= 19.3.

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With the given formula  \(a(t) = 3500e^{(0.041t)\), the percent increase per year for savings account is 4.1% and it will take about 16.9 years for the worth of the account to triple.

a) The formula given is: \(a(t) = 3500e^{({0.041t)\)

To find the percent increase per year, we need to find the annual growth rate. We can do this by taking the derivative of a(t) with respect to t:

\(a'(t) = 0.041 * 3500 * e^{(0.041t)\)

The annual growth rate is equal to a'(t)/a(t). Plugging in the formula for a(t) and simplifying, we get:

a'(t)/a(t) = 0.041

So the percent increase per year is 4.1%.

b) We want to find the time it takes for the account to triple in value, so we need to solve for t in the equation:

\(3a(0) = 3500e^{(0.041t)\)

Dividing both sides by 3500 and taking the natural logarithm of both sides, we get:

ln(3) = 0.041t

t = ln(3)/0.041

Using a calculator, we get:

t ≈ 16.92 years

So it will take about 16.9 years for the worth of the account to triple.

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9514 1404 393

Answer:

Step-by-step explanation:

For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.

  d = √(4² +(-7)²) = √(16 +49) = √65

The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.

  sin(θ) = y/d = -7/√65

  csc(θ) = 1/sin(θ) = -√65/7

  cot(θ) = x/y = -4/7

_____

If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.

2a plus 6 equl eight i hink so

Answer:

Solve the given system first

Find b:

Find a:

Verify the options for correctness:

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Answer:

y = -1/2

Step-by-step explanation:

−7⋅

Answer:

Step-by-step explanation:

y/-7=1/14

use cross multiplication

Hope it helps

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The first one is (4,4)

and the second one is (0,4)

Have a good day!!!

Answer:I think the first one is (4,4)

I hope the second one is also (0,4)

Pls brainliest if correct thx! :D

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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Answer:

x = - 2, y = - 8

Step-by-step explanation:

Given the 2 equations

13x - 6y = 22 → (1)

x = y + 6 → (2)

Substitute x = y + 6 into (1)

13(y + 6) - 6y = 22 ← distribute and simplify left side

13y + 78 - 6y = 22

7y + 78 = 22 ( subtract 78 from both sides )

7y = - 56 ( divide both sides by 7 )

y = - 8

Substitute y = - 8 into (2) and evaluate for x

x = - 8 + 6 = - 2

Thus x = - 2, y = - 8

Answer: -3/2

Step-by-step explanation:

The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.

Answer:

The answer is 112.5

Step-by-step explanation:

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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Answer:

X=5 Y=5

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

2/3 x 1/6 = 2/18 or 1/9

The IRA (individual retirement account) of a 22-year-old college student, who deposits $55 into the account each month, will have a total balance at retirement. To calculate this, we need to consider the time period, the monthly deposit, and the annual percentage rate (APR).

The student plans on retiring at age 65, which means the IRA will have 65 - 22 = 43 years to grow. Since the student deposits $55 each month, we can calculate the total number of deposits over the 43-year period: 43 years * 12 months/year = 516 deposits.

To calculate the total balance at retirement, we need to consider the growth of the account due to the APR. The annual growth rate is 6%, which can be expressed as 0.06 in decimal form. To calculate the monthly growth rate, we divide the annual growth rate by 12: 0.06/12 = 0.005.

Using the formula for the future value of an ordinary annuity, we can calculate the total balance at retirement:
FV = PMT * [(1 + r)^n - 1] / r

Where:
FV = future value (total balance at retirement)
PMT = monthly deposit ($55)
r = monthly interest rate (0.005)
n = number of deposits (516)

Plugging in these values into the formula:
FV = 55 * [(1 + 0.005)^516 - 1] / 0.005

Calculating this equation, the IRA will contain $287,740.73 at retirement.

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Answer:  r = 11.3

Step-by-step explanation:

In order to find the radius given circumfrence we use the following formula

\(r=\frac{C}{2*\pi }\)

\(r=\frac{71}{2*3.14 }\)

r = 11.3

Answer:

600 + 70 + 4 + .900 + .010 + .009

Step-by-step explanation:

you just break up the number to write it in expanded form.

a. The 99% confidence interval for the average body temperature of healthy people is (98.024, 98.476) degrees.  b )   we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees.

a) To calculate the 99% confidence interval for the average body temperature of healthy people, we can use the formula:

Confidence interval = mean ± (critical value) * (standard deviation / √n)

Where:

Mean is the sample mean (98.25 degrees)

Standard deviation is the sample standard deviation (0.73 degrees)

n is the sample size (130)

The critical value for a 99% confidence level is 2.61 (obtained from the t-distribution table for a large sample size)

Plugging in the values, we get:

Confidence interval = 98.25 ± (2.61 * (0.73 / √130))

Confidence interval = 98.25 ± 0.226

Confidence interval = (98.024, 98.476)

b) The confidence interval obtained in part (a) does not contain the value 98.6 degrees. Since the accepted average temperature cited by physicians and others is not within the confidence interval, we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees. The sample data suggests that the average body temperature is lower than the commonly accepted value.

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Answer:

mad ebe cause we want money and space

Step-by-step explanation:

Answer:

$310 is less than or equal to $9 + $35x

Step-by-step explanation:

Answer:

pagal answer toone khoo

In the dancing performance, there are 28 men.

Given info;

As the ratio of men to women is 7 : 8, if there are 7x men, there are 8x women.

But we have 64 female performers in the dance recital.

Hence, 8x = 64

Now multiplying both sides by 1/8, we have

⇒ 8x * 1/8 = 32 * 1/8

x = 4

Hence there are 7 × 4 = 28 men in the dance recital.

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