find the surface area ​

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Answer:

Don't know the answer to bad for u hahahahahah

Step-by-step explanation: get better

Answer:

3/7

Step-by-step explanation:

7-4=3

Answer:

For this, you need to click the second one.

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

Answer:

-5/6 is less than to 2/3

Assuming that there are no other transactions or fees on the credit card, here's how to calculate the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made:

1.) Unpaid Balance: The unpaid balance is the amount of the credit card balance that remains after making the minimum monthly payment. In this case, the minimum monthly payment is $125, so the unpaid balance would be:

$5000 - $125 = $4875

2.) Interest Charge: The interest charge for unpaid balances is 18% per year. To calculate the monthly interest rate, divide the annual rate by 12:

18% / 12 = 1.5%

3.) To calculate the interest charge for the month, multiply the unpaid balance by the monthly interest rate:

$4875 x 1.5% = $73.13

So the new interest charge for the month is $73.13.

4.) Purchasing Power: Purchasing power refers to the amount of credit that is available on the credit card after making the minimum monthly payment and accounting for any interest charges. To calculate the purchasing power, subtract the unpaid balance and interest charge from the credit limit:

$5000 - $4875 - $73.13 = $51.87

So the purchasing power on the credit card after the minimum monthly payment is made is $51.87.

Answer:

C and D

Step-by-step explanation:

A and B are wrong because 6.3 is smaller than those numbers

The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.

In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.

This means that the company sales in year 14 would be :

= Initial sales x ( 1 + rate ) ^ number of years

Initial sales = $ 475, 000

Rate = 17 %

Number of years = 14 years

The company sales in year 14 is:

= 475, 000 x ( 1 + 17 %) ¹⁴

= $3, 656, 872

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The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Answer:

yeah what is 122×321???

It's really nice of you to help people when they're struggling with their subjects. You're a smart person! Stay positive and stay safe during this pandemic! Have a beautiful splendid day!!!

Answer: A. Contractor A. The probability that both conditions are met is 0.93

Step-by-step explanation:

Probability of two independent events happening can be found by multiplying them.

Probability of A doing the job on time and on budget:

= Probability that job is done on time * Probability it is done on budget

= 0.97 * 0.96

= 0.93

Probability of B doing the job on time and on budget:

= 0.93 * 0.98

= 0.91

Contractor A has the better probability at 0.93 so should be chosen.

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

84

34

27

Step-by-step explanation:

Answer:

110

Explanation:

First move the decimal point over to the left twice.

.375

Then multiply 80 by .375 like this :

.375 x 80 = 30

Lastly, add 30 to 80 and put the dollar sign.

$110

Answer:

Increase

Step-by-step explanation:

Precision describes the closeness of estimates from different samples, it refers to the width of the confidence interval and can aso be described as the margin of error. While the confidence level describes the accuracy.

Going for a higher confidence level will bring about a wider confidence interval, and thus lead to a less precise estimate.

Answer: 0.6585

Step-by-step explanation:

Given the following :

Proportion of play to the left = 30% = 0.3

Proportion of play to the right = 70% = 0.7

Play to the right:

Shift stance = 80% = 0.8

Balanced stance = (1 - 0.8) = 0.2

Play to the right with balanced stance = (0.2 × 0.7) = 0.14

Play to the right with shifted stance = (0.8 × 0.7) = 0.56

Play to the left:

Balanced stance = 90% = 0.9

Shifted stance = (1 - 0.9) = 0.1

Play to the left with balanced stance = (0.9 × 0.3) = 0.27

Play to the left with shifted stance = (0.9 × 0.3) = 0.03

Probability that play will go to the left if the linebacker takes a balanced stance :

Overall proportion of play with balanced stance :

Balanced with play to the right + balanced with play to the left = (0.14 + 0.27) = 0.41

Balanced play to the left = 0.27

= (balanced play to the left / total proportion of balanced stance)

= 0.27 / 0.41

= 0.6585365

= 0.6585

Answer:

7 2/3 + 7 2/3 = 14 4/3 = 15 1/3

Step-by-step explanation:

Answer:

7+7= 14 than 2/3+2/3= 4/3= 15 1/3

Step-by-step explanation:

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

C

Step-by-step explanation:

-20 + 15 = -35

a negative + a positive = a negative

Hope this helps!

Answer:

w>-12

Step-by-step explanation:

6>w/-2 (Given)

6>-w/2 (Rewrite)

12>-w (Multiply both sides by 2)

-12<w (Remember to flip the sign when dividing or mulitplying by a negative)

w>-12 (Rewrite with w in front)

Therefore, w>-12 is the solution to the inequality.

Answer:

w>-12

Step-by-step explanation:

First, you you need to get rid of the -2 in w/-2 by multiplying -2 by both sides like this.

(-2)6>w/-2(-2)

Then you simplify it like this:

-12>w

However, since you multiplied/divided with a negative, you switch the inequality sign like this:

w>-12

And that's the answer!

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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