Calculate the surface area of the object provided.

A. 56 cm
B. 64cm³
C. 80cm²
D. 112cm²

Answer:

The last one (8.6x10^-2)

Using Cooking measurements,

The value replacement for 3/4 cup is = 36 teaspoons or 12 tablespoons.

Cooking Measurements :

Calculate and determine the specific amounts of ingredients required using standard measuring equipment.

A measuring spoon, measuring cup, or measuring utensil.

Measuring Spoons come in a variety of sizes and materials. The smallest set of spoons measure smudges, pinches and dashes. Other sets include tsp (tsp) and tsp (tbsp)

we have given 3/4 cup and we want to replace it

Using the cooking measurement chart ,

1 cup = 16 tablespoons or 48 teaspoons

1/2 cup = 8 tablespoons or 24 teaspoons

we have 3/4 cup then

3/4 cup = 1 cup - 1/4 cup

1/4 cup = 4 tablespoons or 12 teaspoons

then , 3/4 cup = 16 tablespoons - 4 tablespoons

= 12 tablespoons or

3/4 cup = 48 teaspoons - 12 teaspoons

= 36 teaspoons

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Answer:

A resposta é 24 números únicos.

Step-by-step explanation:

Se queremos formar um número de 3 dígitos, existem 4 opções para preencher seu centésimo lugar, 3 opções para preencher seu décimo lugar e 2 opções para preencher seu único lugar. Portanto, o número total de números de três dígitos formados é 4 x 3 x 2 = 24.

Espero que isto ajude!

Answer:

0.0207

Step-by-step explanation:

0.345×0.06=0.0207

Answer:

There are four decimal places in the product.

Answer:

The answer is x=14

Step-by-step explanation:

8=5x-34-2x

8=3x-34

8+34=3x

42=3x

42/3=x

14=x

x=14

Answer: 42=3x divide 3 to 42= 14

Step-by-step explanation: ANSWER IS 14=X

The probability that a resident of this city who is 60 years old will survive until they are 80 will be 0.54 l.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.

In this case, in the city of exactly 100,000 people, 90% can expect to live to (at least) age 60 and 60% can expect to live to (at least) age 80.

The probability that a resident of this city who is 60 years old will survive until they are 80 will be:

= 90% × 60%

= 0.54

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The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.

To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.

The system of equations is as follows:

Equation 1: -x + y - z = 0

Equation 2: 2x - y = 0

Equation 3: 2x - 3y - 4z = 0

We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.

Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.

Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).

To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.

The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.

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The percentage increase in average commute times between these years = 2.25%

In 2010, the average commute time for wake county workers = 23.9 mins

In 2016, the average commute time for wake county workers = 25 mins.

The increase is = 25- 23.9 = 1.1

The average commute time between the two years,

23.9+25 = 48.9 mins

Therefore, the percentage,

= 1.1/48.9×100

= 110/48.9

= 2.249%

= 2.25% to the nearest two decimal places.

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Answer:

A. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2ˣ

Step 2: Evaluate

Answer:

it's 8

Reason:

substitute x=3 into the function....it'd be 2³, which is 8

The number of dimes students has is 12 dimes.

We are given that;

Ratio= 2:3

Cost= $1.60

This is a question that can be solved using a system of linear equations. Let x be the number of nickels and y be the number of dimes. Then we have:

0.05x+0.10y=1.60

for the total amount of money, and

yx​=32​

for the ratio of nickels to dimes. To solve this system, we can use the substitution method. First, we isolate x in the second equation:

x=32​y

Then we substitute this expression for x in the first equation:

0.05(32​y)+0.10y=1.60

Simplifying, we get:

301​y+101​y=1.60

Adding the fractions, we get:

304​y=1.60

Multiplying both sides by 30, we get:

4y=48

Dividing both sides by 4, we get:

y=12

The student has 12 dimes.

Therefore, by the given ratio the answer will 12 dimes.

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Answer:

1286 meters long

Step-by-step explanation:

421,808 divided by the width of the plot gives you 1,286 meters for the width.

Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Step-by-step explanation:

Susan message=34.66

Frank message=27.6

Dan message=28

Investing $100 at 12% compounded daily for four years would yield an approximate amount of $175.32.

If $100 is invested at 12% compounded daily for a period of four years, the amount that results from the given investment can be calculated using the compound interest formula.A = \(P(1 + r/n)^(n*t)\)

whereA = the amountP = the principal or initial amount invested

r = the annual interest rate

n = the number of times the interest is compounded in a year

t = the time period in years

For this problem,P = $100r = 12% = 0.12n = 365 (since interest is compounded daily)t = 4 years

Substituting the given values in the formula:A = $100(1 + 0.12/\(365)^(365*4)\)

Using a calculator, we get:A ≈ $175.32

Therefore, the amount that results from the given investment is approximately $175.32.

The amount that results from a $100 investment at 12% compounded daily after a period of 4 years is approximately $175.32. This is calculated using the compound interest formula, which takes into account the principal amount, the annual interest rate, the number of times interest is compounded in a year, and the time period.

By substituting the given values in the formula, we can calculate the amount that results from the investment.

In conclusion, investing $100 at 12% compounded daily for four years would yield an approximate amount of $175.32.

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The MSE for the regression models developed in parts (b) and (d) is Ŷ = 5.10 + 0.83X

Let's assume that the dependent variable in both models is denoted by Y, and the independent variable is denoted by X. The regression model developed in part (b) is expressed as:

Y = 5.10 + 0.83X

The regression model developed in part (d) is expressed as:

Y = 4.90 + 0.89X + 0.012X²

To calculate the MSE for the model developed in part (b), we need to first calculate the predicted values of Y using the equation:

Ŷ = 5.10 + 0.83X

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (b).

Similarly, to calculate the MSE for the model developed in part (d), we need to first calculate the predicted values of Y using the equation:

Ŷ = 4.90 + 0.89X + 0.012X^2

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (d).

After calculating the MSE for both models, we can compare them to determine which model is more effective. A lower MSE indicates that the model is more accurate in predicting the dependent variable.

Therefore, the model developed in either part (b) or (d) with the lower MSE is considered to be more effective.

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Answer:

125

Step-by-step explanation:

because is it's fith it would have gone up to 125 because there is 4 25 in 100

Using the formula for the CDF of the exponential distribution, we can calculate this probability as follows: P(X ≥ 5000) = 1 - P(X < 5000) = 1 - e^(-5000/10000) ≈ 0.3935. Therefore, there is approximately a 39.35% chance that the car will be able to complete the 5000-mile trip without replacing the battery.

To calculate the probability that a randomly chosen battery of this brand will need replacement within 4000 to 5000 miles of operation, we can subtract the CDF values at 4000 miles and 5000 miles. P(4000 ≤ X ≤ 5000) = P(X ≤ 5000) - P(X ≤ 4000) = e^(-5000/10000) - e^(-4000/10000) ≈ 0.1813. Hence, there is approximately an 18.13% probability that a randomly chosen battery of this brand will need replacement within the range of 4000 to 5000 miles.

For a random sample of 42 batteries, to find the probability that the average miles before replacement will be at most 12000, we can use the Central Limit Theorem. The average of the sample means follows a normal distribution with a mean equal to the population mean (10000 miles in this case) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (√42). We can calculate the z-score for 12000 miles, which is (12000 - 10000) / (standard deviation / √42). Using the z-table or a calculator, we can find the probability associated with this z-score, which represents the probability that the average miles before replacement will be at most 12000.

To determine the number of batteries out of the 1000 produced in the last month that will last for more than 20000 miles, we can use the cumulative distribution function (CDF) of the exponential distribution. The probability that a battery will last more than 20000 miles can be calculated as P(X > 20000) = 1 - P(X ≤ 20000) = 1 - e^(-20000/10000) ≈ 0.1353. Multiplying this probability by the total number of batteries produced (1000) gives an estimate of the number of batteries that will last for more than 20000 miles, which is approximately 135 batteries.

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Therefore, the correct statement is: Absolute maximum: 192 at (8, 8) and (-8, -8); absolute minimum: 48 at (-8, 8) and (8, -8).

The absolute maximum and minimum of the function\(f(x, y) = x^2 + xy + y^2\) on the square −8 ≤ x, y ≤ 8 can be found by evaluating the function at critical points in the interior of the square and on the boundary.

First, let's find the critical points by taking the partial derivatives of f(x, y) with respect to x and y and setting them equal to zero:

∂f/∂x = 2x + y = 0

∂f/∂y = x + 2y = 0

Solving these equations, we get the critical point (x, y) = (0, 0).

Next, let's evaluate the function at the corners of the square:

f(-8, -8) = 64

f(-8, 8) = 64

f(8, -8) = 64

f(8, 8) = 192

Now, let's evaluate the function on the boundaries of the square:

On the boundary x = -8:

\(f(-8, y) = 64 + (-8)y + y^2\)

Taking the derivative with respect to y and setting it equal to zero:

-8 + 2y = 0

y = 4

f(-8, 4) = 48

Similarly, we can find the values of f(x, y) on the boundaries x = 8, y = -8, and y = 8:

\(f(8, y) = 64 + 8y + y^2\\f(x, -8) = 64 + x(-8) + 64\\f(x, 8) = 64 + 8x + x^2\\\)

Evaluating these functions, we find:

f(8, -8) = 48

f(-8, 8) = 48

Now, comparing all the values, we can conclude that the absolute maximum is 192 at (8, 8) and (-8, -8), and the absolute minimum is 48 at (-8, 8) and (8, -8).

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The person can get 3 fives, 2 sixes, and 1 two in 336 ways.

To find the number of ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die, we can use the formula for combinations with repetition:

\(C(n + k - 1, k) = C(6 + 3 - 1, 3) * C(3 + 2 - 1, 2) * C(1 + 1 - 1, 1)\)

where n is the number of possible outcomes (in this case, 6), k is the number of choices to make (in this case, 3 for fives, 2 for sixes, and 1 for twos), and C(n + k - 1, k) represents the number of combinations with repetition.

Using this formula, we can calculate:

\(C(8, 3) * C(4, 2) * C(1, 1) = 56 * 6 * 1 = 336\)

Therefore, there are 336 ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die.

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a) 26 × 0.02584 = 0.67384 ≈ 0.67

b) 15.3 ÷ 1.1 = 13.9090909... ≈ 13.9

c) 782.45 − 3.5328 = 778.9172 ≈ 779

d) 63.258 + 734.2 = 797.458 ≈ 800

a) To determine the result of 26 × 0.02584, multiply the numbers and round the answer to the appropriate number of significant figures. Since 26 has two significant figures and 0.02584 has four significant figures, the answer should have two significant figures. Multiplying the numbers gives 0.67384, which is rounded to 0.67.

b) To find the result of 15.3 ÷ 1.1, divide 15.3 by 1.1 and round the answer to the appropriate number of significant figures. Both 15.3 and 1.1 have three significant figures, so the answer should also have three significant figures. Dividing the numbers gives 13.9090909..., which is rounded to 13.9.

c) To calculate 782.45 − 3.5328, subtract the second number from the first and round the answer to the appropriate number of significant figures. Both 782.45 and 3.5328 have five significant figures, so the answer should also have five significant figures. Subtracting the numbers gives 778.9172, which is rounded to 779.

d) To find the sum of 63.258 and 734.2, add the numbers together and round the answer to the appropriate number of significant figures. Both 63.258 and 734.2 have four significant figures, so the answer should also have four significant figures. Adding the numbers gives 797.458, which is rounded to 800.

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Answer:

half apart

Step-by-step explanation:

hope it help you

To find the percentage of girls in class A, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

14 / 20 * 100 = 70%

To find the percentage of girls in class B, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

15 / 25 * 100 = 60%

Thus, the percentage of girls in class A is 70%, and the percentage of girls in class B is 60%.

Answer:

D.) 0.25

Step-by-step explanation:

Because it is not a whole number and decimals don't count as integers

Answer: 6/8 or 3/4 or 0.75

Step-by-step explanation:

Answer:

Takes her 2 hours

Step-by-step explanation:

Solution

Find the Sine, cosine, tangent of - 120​

Answer:c Thursday

Step-by-step explanation:

If on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be  24°F.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

It is given that on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F. On Wednesday, the temperature decreased by 13°F.

The overall change in temperature from Monday to Wednesday is found as,

=  43°F  + 6°F  - 13°F

= 24 °F

Thus, if on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be  24°F.

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