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The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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a) The integral of 4x+4 with respect to x is 2x² + 4x + C.

c) The integral of x³ with respect to x is (1/4)x^4 + C.

a) To find the integral of 4x+4 with respect to x, we can use the power rule of integration. For each term, we increase the exponent by 1 and divide by the new exponent. The integral of 4x is (4/2)x² = 2x², and the integral of 4 is 4x. Adding these results together, we get the antiderivative 2x² + 4x. The constant of integration (C) is added to account for the possibility of any additional constant terms.

b) The integral of f(x)cos(x) cannot be determined without knowing the specific function f(x). Integration is a process that requires a specific function to be integrated. Without knowledge of f(x), we cannot evaluate the integral.

c) To find the integral of x³ with respect to x, we use the power rule of integration. We increase the exponent by 1 and divide by the new exponent. For x³, increasing the exponent by 1 gives x^4, and dividing by the new exponent (4) gives (1/4)x^4. Adding the constant of integration (C), we obtain the antiderivative (1/4)x^4 + C.

It's important to note that integration involves finding the antiderivative of a function, and the constant of integration (C) is included since the derivative of a constant is always zero.

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The segment lengths for this triangle are given as follows:

Similar triangles are triangles that share these two features given as follows:

There are three triangles in this problem, all of which are similar.

The length of segment PX can be obtained with triangles PQR and PXY, as follows:

PX/30 = 10/40

PX/30 = 1/4

4PX = 30

PX = 7.5.

The length of segment XQ is found applying the segment addition postulate, as follows:

PQ + XQ = 30

7.5 + XQ = 30

XQ = 22.5.

The length of segment XY can also be obtained with the similarity of triangles PXY and PQR, as follows:

XY/36 = 10/40

XY/36 = 1/4

4XY = 36

XY = 9.

The length of segment ZW is obtained with the similarity of triangles PZW and PQR, as follows:

ZW/36 = 24/40

ZW/36 = 0.6.

ZW = 36 x 0.6

ZW = 21.6.

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Answer:

Kite and Arrowhead

Step-by-step explanation:

It’s asking for “No pairs of parallel sides”

meaning no Parallel sides. It can’t be Trapezium because it has one pair of parallel sides. {The question is asking for shapes with no parallel sides}

Thank you

The correct logic translation of "some people are afraid of some animals" is:

∃x∃y, Person(x) ∧ Animal(y) ∧ Afraid(x, y)

This translates to "There exist some person x and some animal y such that x is afraid of y, and x is a person, and y is an animal." This statement asserts the existence of at least one person who is afraid of at least one animal.

To break down the statement, the quantifier ∃x asserts that there is at least one person x who is afraid of some animal, and the quantifier ∃y asserts that there is at least one animal y that some person is afraid of. The predicates Person(x), Animal(y), and Afraid(x, y) specify the properties of x and y, where Person(x) means x is a person, Animal(y) means y is an animal, and Afraid(x, y) means x is afraid of y. The ∧ symbol represents the logical operator "and," which combines the predicates to form a single statement.

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Answer:

A

Step-by-step explanation:

The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is

\(\frac{1}{2}\) (y - 127) = 53 → A

The intercepted arcs of y is 1/2(y -127) = 53.

The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.

Let, DE and EF exist as tangents to O.

The value of y will be evaluated as follows:

For angle created outside of circle by intersection:

Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:

An angle formed outside = 1/2(Difference of Intercepted Arcs)

An angle formed outside exists ∠DEF = 53°

Intercepted arcs exist y and 127°

Hence, 53 = 1/2(y -127)

Therefore, the correct answer is option C). 1/2(y -127) = 53.

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Answer: $8.75

Step-by-step explanation:

Answer:

I suggest the answer is A if not then B is second best choice

Answer:

Les trois nombres sont 5, 6 et 7.

Step-by-step explanation:

Soit x le premier nombre.

x + 1 sera le second et x + 2 sera le troisième.

On pose l'équation :

2x + 3(x + 1) = 4(x + 2)

2x + 3x + 3 = 4x + 8

5x - 4x = 8 - 3

x = 5

The number of students that voted is given as follows:

5 students.

The number of students that voted is obtained applying the proportions in the context of this problem, multiplying the total number of students by the decimal equivalent of the percentage.

The total number of students is given as follows:

20 students.

The decimal equivalent of the percentage is given as follows:

25/100 = 0.25.

Hence the number of students that voted is given as follows:

0.25 x 20 = 20/4 = 5 students.

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Answer: 30 mph

Step-by-step explanation: Divide 158,400 by 5280(the amount of feet in a mile) to get your answer.

Answer:

Step-by-step explanation:

The value of 4 f(x) dx. 1 is 6.64.

From equation (1):

5 f(x) dx = 12

4 f(x) dx = 12 × (4/5) = 9.6 ........ equation (3)

From equation (2):

5 f(x) dx = 3.7

4 f(x) dx = 3.7 × (4/5) = 2.96 ........ equation (4)

From equation (3) - equation (4):

4 f(x) dx = 9.6 - 2.96

4 f(x) dx = 6.64

Hence, 4 f(x) dx = 6.64.

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The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

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Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Step 1

given

Step 2

\(\angle HKM \cong \angle OKM, \angle HMK \cong \angle OMK\)

Step 3

\(\overline{KM} \cong \overline{KM}\)

Reason: Reflexive property

Step 4

ASA

The probability of the value of  (0.21) distribution using the normal distribution table is: 0.3166

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

In the question, we have

Probability of (0.21 < z <1.28)

= P(z < 1.28) - P(z < 0.21)

Probability of value for z

= 1.28 using z table is 0.8997

=> P(z < 1.28)

= 0.8997

probability of value for z = 0.21

Now, find the value of the probability using the normal distribution table:

using the z table of 0.21; we get:

The value of z is: 0.5832

=> P(z < 0.21) = 0.5832;

The value of  Probability of (0.21 < z <1.28)

= Probability of (z < 1.28) - Probability of (z < 0.21)

= 0.8997 - 0.5832

= 0.3165

~ 0.3166

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The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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Answer:

3731.2 pounds

Step-by-step explanation:

Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.

For 3 cubic feet of sea water, weight is 192 pounds

For 58.3 cubic feet of sea water,

( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The interest for the given principal , time and rate is $ 51.06 . The Amount after interest is $ 976.06.

Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate. Compounding, in which borrowers end up paying interest on principal and interest that increases over a few of payment periods, is not a part of it.

Simple Interest = \(\frac{P*R*T}{100}\)

where, P = principal, R = Rate of interest, T = Time.

Now in the given question,

Principal = $925

Rate= 2.3 %

Time = 2.4 years

Then,

Simple Interest,

                           \(=\frac{P*R*T}{100} \\\\=\frac{925*2.3*2.4}{100} \\\\=$51.06\)

Hence the interest is $ 51.06 .

Amount after interest = P + I = 925 + 51.06 = $ 976.06.

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Answer:

Jim is 18, Sharon is 9.

Step-by-step explanation:

Sharon has to be 9. Two times 9 is 18, then add 9 to it for sharons age, and you get 27. hope this helps :)

Answer:

Jim is 18. Sharon is 9.

Step-by-step explanation:

9+9=18

18+9=27

Answer:

-19.9 ft.

Step-by-step explanation:

Answer:

I think the answer is 19.9 if that's wrong I'm so sorry

Ok the first thing we have to do is calculate the approximate values of each number's probability. That probability tells how often will the dice land on a certain number. To approximate it you have to divide every frequency by the total amount of times the dice was tossed. Let's do that for every number:

Now we can solve the question. For example if you want to know how many times the dice is expected to land on 4 you just need to multiply the probability for that number, which I called P(4), for the total amount of times the dice was tossed, which are 180 times:

And that's the answer for a.

For item b we need to make more operations. We are being asked how many times the dice is expected to land on a number greater than 3. For this we'll have to use the probability for all the numbers on the dice that are greater than 3: 4, 5 and 6. We'll need to add all these probabilities and multiply the result od that sum by 180:

Since 92.88 isn't a whole number we round it to 93 and that's the answer for item b.

We can repeat our calculations for item c but using the probabilities of the even numbers instead. Said numbers are 2, 4 and 6:

Rounding 83.88 we have 84, the solution to item c.

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

Answer:its 5

Step-by-step explanation: cuz

Answer:

i dont get it, can you please rephrase it?

Option C will represent the correct expression for the given function.

The graph is a vertical shift of the parent function 2 units up.

A function that fulfills the values for the function is called the parent function.

Given function is \(y = \sqrt{x} +2\).

The parent square root function on the given function is \(f(x) =\sqrt{x}\).

To obtain the given function, we will use the parent function and add 2 on both sides. We get the expression,

\(f(x) + 2 = \sqrt{x} +2\)

We get an expression of the parent function with an integer of +2. It means that the graph of the given function will shift vertically to 2 units up.

Hence we can conclude that option C will represent the correct expression for the given function. The graph is a vertical shift of the parent function 2 units up.

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