what’s the answer to this question?

Answer:

Step-by-step explanation:

Answer:

No, because the unit fraction of each lap are not the same. Therefore they are not proportional.

Step-by-step explanation:

The length of the incline plane is equivalent to 13.9ft

Application of Pythagoras theorem

According to the theorem, the square of the hypotenuse is equal to the sum of the square of the adjacent and opposite

c^2 = a^2 + b^2

From the given question, the length of the incline is the hypotenuse 'c' where:

a = 7ft

b = 12ft

Substitute

c^2 = 7^2 + 12^2

c^2 = 49 + 144

c^2 = 193

x = 13.9ft

Therefore the length of the inclined plane is 13.9ft

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When He ate 1/7 of a sandwich at lunch and another 25% at supper, He did not finish 9 of the 14 sandwiches.

A fraction can be used to symbolise a portion of a whole or a ratio of two quantities in mathematics. It has a horizontal strip separating the numerator (top number) from the denominator (bottom number). The numerator is the overall number of equally-sized parts that the whole is divided into, and the denominator is the number of those parts that are being taken into account. For instance, the fraction 3/4 denotes three of a whole that is made up of four equal portions. The numerator, 3, indicates that we are only taking into consideration three of the four equal portions that the denominator, 4, denotes. Depending on whether or not the numerator is less than or larger than, a fraction may be proper or improper.

given

Assume that the hamburger is cut into 1 complete piece.

He consumed 1/7 of the burger for lunch, making the remaining portion as follows:

1 - 1/7 = 6/7

He consumed 25% of the remaining sandwich at supper, which is:

(25/100) x (6/7) = 6/28 = 3/14

As a result, the amount of the meal he has not yet consumed is:

6/7 - 3/14 = (12/14) - (3/14) = 9/14

When He ate 1/7 of a sandwich at lunch and another 25% at supper, He did not finish 9 of the 14 sandwiches.

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The degree of the expression \(8ax^4\) is 4.

The degree of a monomial expression is defined as the highest exponent of the variable in that expression.

In this case, we have the expression \(8ax^4\), where x is the variable and its highest exponent is 4.

The coefficient 8a is just a constant multiple and does not affect the degree of the expression.

Therefore, the degree of the expression 8\(ax^4\) is 4. It is important to understand the concept of degree, as it helps us to classify polynomial expressions and determine their behavior.

Furthermore, by knowing the degree of an expression, we can also determine the number of possible roots or solutions of that expression.

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Question

"What is the degree of the expression 8ax^4?"

The domain of the function is x ∈ [ -4, ∞ )

Here, we are given a function as follows-

y = \(\sqrt{x + 4}\)

Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.

Here, the independent variable is x

We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0

⇒ (x + 4) ≥ 0

x ≥ -4

This means that for all values of x greater than or equal to -4, the function exists.

Thus, the domain of the function is x ∈ [ -4, ∞ )

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Your question was incomplete. Check for missing content below-

What is the domain of the function y = sqrt(x + 4)?

The mean of the areas of the shapes is 107.47

The triangle:

The area is calculated as

Area  = 0.5bh

So, we have

Area = 0.5 * 8 * 12

Evaluate

Area = 48

The parallelogram:

The area is calculated as

Area  = bh

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

Area = 13 * 19

Area = 247

The rectangle:

The area is calculated as

Area  = bh

So, we have

Area = 8.1 * 3.5

Area = 28.35

The polygon:

The area is calculated as

Area  = (n/2) * L * R

This gives

Area = (5/2) * 4 * 2.5

Area = 25

The trapezoid:

The area is calculated as

Area  = (1/2) * (sum of parallel sides) * height

So, we have

Area = (1/2) * (18 + 24) * 9

Area = 189

The mean is then calculated as

Mean = (48 + 247 + 28.35 + 25 + 189)/5

Mean = 107.47

Hence, the mean area is 107.47

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The mean of all the answers

First find the area of the square, then the triangle.

15 times 17 = 255 sq. yd

Triangle:

(5 times 5)/2 = 12.5 sq. yd

Your answer is 267.5 sq. yd

Hope this helps.

Answer:

3

Step-by-step explanation:

Answer: \(\mu_{x+y} =\) 3026

              \(\mu_{x-y}=\) 30

Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

\(\mu_{x+y}=\mu_{x}+\mu_{y}\)

Assuming x represents the random male selected and y represents the random female selected:

\(\mu_{x+y}=1528+1498\)

\(\mu_{x+y}=\) 3026

The average sum of their scores is 3026.

Average difference is the difference between the expected value (mean) of each gender:

\(\mu_{x-y}=\mu_{x}-\mu_{y}\)

\(\mu_{x-y}=\) 1528 - 1498

\(\mu_{x-y}=\) 30

The average difference of their scores is 30.

Answer:

A and B are the expression equal to 1

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_a(2)=f\hspace{5em} \log_a(3)=g\hspace{5em}\log_a(5)=h \\\\\\ 2^f=a\hspace{8em}3^g=a\hspace{7em}5^h=a\)

Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Complete Question

A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:

a. The average index of elementary school children must be 60.69.

b. The standard deviation of the sample is about 10% smaller than the population standard deviation.

c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.

d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.

e. 4.40 is 95% of the true average of the index for all elementary school children.

f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.

Answer:

The correct option is  a and  f

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  16

     The 95% confidence interval is  (56.29, 65.09)

Generally the sample mean(average index of elementary school children) is mathematically represented as

     \(\= x  =  \frac{65.09 + 56.29}{2}\)

=>  \(\= x  =  60.69 \)

Answer:

32 shirts

Step-by-step explanation:

Charges of x shirts by Cool Shirts = 8x + 13

(shipping of shirts = $13)

Charges of x shirts by Total Tees = 7.5x + 16

(Shipping of shirts = $16)

If Cool Shirt offered a deal of free shipping (Shipping = 0),

Charges of x shirts by Cool shirts = 8x

Total charges from both the companies will be equal if,

8x = 7.5x + 16

8x - 7.5x = 16

0.5x = 16

x = 32

Therefore, purchase of 32 shirts will be needed until companies cost the same.

Answer:

a) {(3,3),(3,4),(4,5),(4,6)}

Step-by-step explanation:

Given

(a) to (d)

Required

Which is not a function

A relation is represented as:

\(\{(x_1,y_1),(x_1,y_1),(x_2,y_2),...............(x_0,y_0)\}\)

For the relation t be a relation, then:

\(x_i \ne x_j\)where \(i \ne j\)

This means that none of the x values must be related.

The first relation has 3 repeated as its value of . Hence, (a) is a relation

Answer:

f(-2) = 0.005

Step-by-step explanation:

f(x) = 1/8 x 5^x

f(-2) = When x in the function of f(x) is -2.

f(-2) = 1/8 x 5^-2

f(-2) = 1/8 x 0.04

f(-2) = 0.005

The statement is true: the area under the graph line made with the x-axis

represents the change in position of the object on a velocity versus time

graph.

Reasons:

\(\displaystyle Velocity = \frac{Dislacement}{Time}\)

The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.

A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.

Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.

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Answer: True

Step-by-step explanation:

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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By using Orbit-Stabilizer Theorem, we can prove that the number of G-subsets of X is 2n, where n is the number of distinct orbits in X

The Orbit-Stabilizer Theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x, multiplied by the number of orbits in X. In other words, if G is a group and X is a finite G-set, then the following equation holds:

|G| = |Orbit(x)| * |Stabilizer(x)|

where |G| is the number of elements in G, |Orbit(x)| is the number of elements in the orbit of x, and |Stabilizer(x)| is the number of elements in the stabilizer of x.

A subset is a set of objects or elements that are contained within another set.

we can use the Orbit-Stabilizer Theorem. This theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x. The orbit of x is the set of all elements that can be obtained from x by applying the action of G, and the stabilizer of x is the set of all elements of G that leave x unchanged.

Since each element of X belongs to exactly one orbit, there are a total of n orbits in X. For each orbit, we can either include all of the elements in the orbit in our G-subset or exclude all of the elements in the orbit. This gives us 2 options for each of the n orbits, so the total number of G-subsets of X is 2^n = 2n.

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The given set is not a field under the usual operations of multiplication and addition.

Sets can be composed of any type of objects, including numbers, letters, symbols, or other sets. For example, the set of even numbers could be denoted as {0, 2, 4, 6, 8, ...}, and the set of vowels in the English alphabet could be denoted as {a, e, i, o, u}. Sets are defined by their elements, and two sets are considered equal if they contain exactly the same elements. The order of the elements in a set is irrelevant, so {1, 2, 3} and {3, 2, 1} are considered the same set.

To show that the set (4, -2, 0, 2, 4, 6..) does not satisfy the three axioms of a field, we need to demonstrate a violation of each axiom:

Closure under addition: For any two elements a and b in the set, a + b must also be in the set.

Counterexample: 4 + (-2) = 2, which is not in the set.

Closure under multiplication: For any two elements a and b in the set, a × b must also be in the set.

Counterexample: 4 × (1/2) = 2, which is not in the set.

Existence of additive inverse: For every element a in the set, there exists an element -a in the set such that a + (-a) = 0.

Counterexample: There is no element in the set such that 4 + a = 0 or -2 + a = 0 or 0 + a = 0 or 2 + a = 0 or 4 + a = 0 or 6 + a = 0. Therefore, there is no additive inverse for any element in the set.

Since, the set (4, -2, 0, 2, 4, 6..) violates all three axioms of a field, it is not a field under the usual operations of multiplication and addition.

Therefore, given set is not a field under the usual operations of multiplication and addition.

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Answer:

-5

Step-by-step explanation:

Answer:

I think its 56

Step-by-step explanation:

Variable= Multiplication

The Variable is p so we replace p with 8.

7x8=56

Answer:

The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.

Step-by-step explanation:

4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66

66 ÷ 10 = 6

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

so what is the question?

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

Answer: 5 meters

Why?:

Let the width of the room be denoted by 'W'

Since the room is three times as long as its width, the length will be '3W'

remember perimeter of a rectangle is =  2(length + width) and is given in the question as 40 meters.

      Perimeter =  2 (length + width)

                 40 = 2 (3W + W)

                 40 = 2 (4W)

                 40 = 8W

(Dividing both sides by 8), gives

                 5 = W

Answer:

l = 15

w = 5

Step-by-step explanation:

l = 3w

40 = 2l + 2w

40 = 6w + 2w

40 = 8w

8w = 40

w = 40/8

w = 5

l = 15