Which table matches the written rule below, where n is the term number and t is the term in the sequence?Each term in a sequence is equal to the product of four and the term number, plus four.n12345t121620242812345t48121620n2345t812162024OD.n12345t816243240

Answer:

5,11 , 17, 23, 29, 35

Step-by-step explanation:

Answer:

5, 11, 17, 23, 29, 36

Step-by-step explanation:

To get from 5 to 11, we add 6. Similarly, to get from 11 to _, we add 6, and get 17. This also works with 29 to _. We get 36.

Answer:

\(12000 ( {1 + \frac{.04}{12}) }^{12t} = 17000\)

\( {( \frac{301}{300}) }^{12t} = \frac{17}{12} \)

\(12t (ln(301) - ln(300) ) = ln(17) - ln(12) \)

\(t = \frac{ ln(17) - ln(12) }{12( ln(301) - ln(300) )} = 8.72 \: years\)

Answer:

306 miles

Step-by-step explanation:

6 x 51

Answer:

162.5 miles

Step-by-step explanation:

hope this helps :)

Answer:

Numbers can either be positive or negative. ... Adding and multiplying combinations of positive and negative numbers can cause confusion and so care must be taken. Addition and Subtraction. Two 'pluses' make a plus, two 'minuses' make a plus. A plus and a minus make a minus.

Answer:

Mean = 3.125 ≈ 3.13

Step-by-step explanation:

Mean = Sum of numbers =  1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13

           Amount of number                     8                             8

Answer:

r ≈ 1.91mm

Step-by-step explanation:

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

See below.

Step-by-step explanation:

Start with the given and end with the "prove".

III.

II.

V.

I.

IV.

This is also correct:

III.

V.

II.

I.

IV.

Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

Answer:

The answer is (5, 2)

Step-by-step explanation:

I. If move left = -x

    move right = +x

  So -2 - 3 =  -5 => move left

        -5 + 10 = 5 => move right

I suggest that move left and right is x cordinate

The answer is (5,2)

Is that correct?

The value of angle ABC is 26°

What is a value ?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

to find the ∠ABC

we know ∠CAB = 64° and ∠BCA = 90°

let ∠ABC be x

x + 64 + 90 = 180

x = 180 - 64 - 90

  = 26°

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Answer: 17.7

44.25

times .4  pLease mark me brainliest lol

Answer:

x=7y+8

Step-by-step explanation:

There isn't enough information about what y would be if you meant for solving for the value of x. However, to get the equation to solve for x, all you need to do is to isolate the x by itself, which in this case you would need to add 7y to both sides. The answer should be x=7y+8

Answer:

see attached

Step-by-step explanation:

By using the concept of number line, it can be calculated that

a) g is a function

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) Probability that g(3) = 0 is zero

What is a number line?

All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.

a) Here, g represents the position after the nth flip

After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero

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Answer:

Step-by-step explanation:

Rounding numbers:

If the digit we are looking is 4 or lower, we round down.

Otherwise, we round up.

In this question:

495:

We look at the final digit, which is 5. Since it is five or higher, we round up, and the nearest 10 is 500.

504:

We look at the final digit, which is 4. Since if is lower than 5, we round down, and the nearest 10 is 500.

Answer:

24.6 degrees.

Step-by-step explanation:

To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.

sin(θ) = opposite/hypotenuse

sin(θ) = 3/7

Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.

θ = sin^-1(3/7)

θ ≈ 0.429 radians

To find the degree measure, we must convert radians to degrees by multiplying by 180/π.

θ ≈ 0.429 x 180/π

θ ≈ 24.6 degrees

Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.

Answer:

See below

Step-by-step explanation:

50 - x^2 = 0     add x^2 to both sides of the equation

x^2 = 50           sqrt both sides

x = +- √(50) = ±√(25*2) = ±5√2

The solutions to the quadratic equation 50 - x² = 0 are x = -5√2 or x = 5√2. Option C is correct.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

To solve the quadratic equation 50 - x² = 0, we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, we have:

50 - x² = (5√2)² - x²

= (5√2 + x)(5√2 - x)

So, we can write the equation as:

(5√2 + x)(5√2 - x) = 0

Now, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we have:

5√2 + x = 0 or 5√2 - x = 0

Solving for x in each equation, we get:

x = -5√2 or x = 5√2

Therefore, the solutions to the quadratic equation 50 - x² = 0 are x = -5√2 or x = 5√2.

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Answer: depends how often you meet someone

Step-by-step explanation: You can multiply 2 times 2 and if you know the answer to that multiply that times the number of times u meet someone and divide by 2.

The yield Mary Blake makes from investing in the stock is about 5.24%, and the yield from the bonds is 11.5%, while the value of the amount the bond yields is $106.375

          \({}\)           Yield

Stock \({}\)           5.24%

Bond \({}\)           11.5%

An investment is the an input of (financial) capital into the acquisition of assets that will generate future revenue.

The amount at which the stock Mary Blake is looking at is trading = $66.75

The annual dividend of the stock = $3.50

The amount at which the bond is trading = 92.50% of par

The annual interest rate from the bond = 11.5%

Mary Blake's percentage yield from investing in the stock can be found as follows;

Yield percentage = (3.5/66.75) × 100 ≈ 5.24%

The percentage yield from the bond as indicated in the question is 11.5%

The yield amount from the bond is found as follows;

Amount of the bond = $1000 × 92.50 = $925.0

The yield amount = 11.5% × $925.0 = $106.375

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.

In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.

To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),

we can set the function equal to zero and solve for x.

Setting h(x) = 0, we have:

(x - 6)(x^2 + 8x + 16) = 0

Setting x - 6 = 0, we find:

x = 6

Setting x^2 + 8x + 16 = 0,

we can attempt to factor or use the quadratic formula.

Therefore, the function:

h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.

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The statement is:

- True

- True

- False

- False

- False

- False

- False

- True

- True

- True

We have,

True.

If m varies directly as n, it means that there is a constant of proportionality (k) such that m = kn.

True.

If m varies directly as b, it means that there is a constant of proportionality (k) such that m = kb.

False.

If m varies directly as the square root of n, it means that there is a constant of proportionality (k) such that m = k√n, not m = 1 = k√n.

False.

If m varies jointly as p and 9, it means that there is a constant of proportionality (k) such that m = kp, not m = kpq.

False.

If p is directly proportional to q, it means that there is a constant of proportionality (k) such that p = kq, not p = kq².

False.

If m varies directly as n and inversely as p, it means that there are constants of proportionality (k1 and k2) such that m = k1n/p, not m = k/p².

False.

If m varies jointly as n and the square of p, it means that there is a constant of proportionality (k) such that m = knp², not m = -.

True.

If n varies inversely with the cube of p, it means that there is a constant of proportionality (k) such that n = k/p³.

True.

If m varies directly as n and inversely as the square root of p, it means that there are constants of proportionality (k1 and k2) such that m = k1n/√p, which can be simplified to m = kn√p.

True.

If m varies directly as n and inversely as the square of p, it means that there are constants of proportionality (k1 and k2) such that m = k1n/p², which can be simplified to m = kn/p².

Thus,

The statement that is true or false is given above.

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Answer:

D

Step-by-step explanation:

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Step-by-step explanation:

By the Right Triangle Altitude Theorem, the two triangles formed by the altitude of a right triangle are similar to the original triangle and to each other.

In this case, triangle ABC is the original right triangle and CE is the altitude. Therefore, the similarity statement that is true is:

△ABC ∼ △AEC

This is because triangles ABC and AEC are both right triangles that share the angle at C, and the altitude CE creates two pairs of congruent angles (the right angles and the angle at A and E) and a pair of proportional sides (CE and AE are corresponding altitudes).

So, we can write the similarity statement as:

△ABC ~ △AEC

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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