What is the range of h

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

Step-by-step explanation:

Answer:

0.000842

Step-by-step explanation:

\(~~\dfrac{8.42 }{10^4}\\\\=\dfrac{8.42 \times 10^2}{10^4 \times 10^2}\\\\=\dfrac{842}{10^6}\\\\=\dfrac{842}{1000000}\\\\=0.000842\)

Answer:

0.000842

Step-by-step explanation:

Quotient: The result obtained when dividing one quantity by another.

\(\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}\quad \textsf{to the denominator}:\)

\(\implies \sf \dfrac{8.42}{10^4} = 8.42 \times 10^{-4}\)

When multiplying by 10 to the power of a negative number, simply move the decimal point to the left by the number in the power.

Therefore, move the decimal point to the left by 4 places:

One place:     8.42 ⇒ 0.842

Two places:            ⇒ 0.0842

Three places:         ⇒ 0.00842

Four places:           ⇒ 0.000842

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

Step 2: Synthetic Division

See Attachment.

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

Please excuse the bad handwriting. Hope this helped!

5/6

Number of cupcakes shared by 6 persons = 5

Number of cupcakes taken by 1 person = 5/6

16 wide

Step-by-step explanation:

because i do 8 x 2

Answer: 4 cm will equal the width of the volleyball court on the scale drawing

Step-by-step explanation:

1cm = 2m

8m/2m =4 cm

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Answer:

Read my comments you can use this app for any math question and gives you an answer

Answer:

The answer you should be looking for is 16

Step-by-step explanation:

Sorry if i'm wrong good luck tho

The cosine equation of the function shown is f(x) = 4cos(x) + 3

From the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that the function is shifted up

Next, we enter the points in a graphing calculator to determine the function

From the graph, we have

f(x) = 4cos(x) + 3

Hence, the equation is f(x) = 4cos(x) + 3

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Answer:

$7,166.67 per acre

$501,666.67 for 70 acres

Step-by-step explanation:

cost per acre:  430000/60 = 7166.67 dollars per acre

cost of 70 acres:  7166.67 x 70 = 501,666.67 dollars

The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.

The probability distribution of Y = X mod (4) can be found as follows:

Y = 0, when X = 0, 4, 8

Y = 1, when X = 1, 5, 9

Y = 2, when X = 2, 6

Y = 3, when X = 3, 7

So, the probability distribution of Y = X mod (4) is:

Y = 0, P(Y = 0) = 3/10

Y = 1, P(Y = 1) = 3/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 2/10

The probability distribution of Y = 6 mod (X + 1) can be found as follows:

Y = 0, when X = 5

Y = 1, when X = 0

Y = 2, when X = 1, 6

Y = 3, when X = 2

Y = 4, when X = 3, 7

Y = 5, when X = 4, 8

Y = 6, when X = 9

So, the probability distribution of Y = 6 mod (X + 1) is:

Y = 0, P(Y = 0) = 1/10

Y = 1, P(Y = 1) = 1/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 1/10

Y = 4, P(Y = 4) = 2/10

Y = 5, P(Y = 5) = 2/10

Y = 6, P(Y = 6) = 1/10

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer: 9

Step-by-step explanation:

We need to solve this equation \(5a^{2}\) + 5a + a + 1 while a = -2.

Therefore, we have to use direct substitution to substitute -2 for every a in the equation.

\(5(-2)^{2}\) + 5(-2) + (-2) + 1

5(4) - 10 -2 + 1

20 - 10 - 2 + 1

9

A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

We need to find the ratio between the two capacities.

Given that there are \(10^9\) bytes in a gigabyte and\(10^6\) bytes in a megabyte, we can calculate the ratio as follows:

Ratio = (1 GB) / (1 MB)

= \((10^9 bytes) / (10^6 bytes)\)

= \(10^(9 - 6)\)

=\(10^3\)

= 1000

Therefore, A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

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Answer:

157

Step-by-step explanation:

Given the sequence

7; 17; 37; 77; ___ ; 317

Let the blank space=x

We notice that the difference is always multiplied by 2.

Therefore:

x-77=80

x=80+77

x=157

The number that should be in the blank space of the sequence is 157.

Now, observe the pattern in full:

The sequence concept to solve the problem. Then the missing number of the sequence is 157.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Given

The sequence is \(7, 17, 37, 77, \_\_\_\_ , 317\)

We can observe that the difference is getting double That can be given as

\(1 7\ \ - 7 = 10\\\\37 - 17 = 20 \\\\77 - 37 = 40\) and so on.

Then the fourth number will be

\(77 + 80 = 157\)

Then the fifth number will be

\(157+160 = 317\)

Thus, the missing number of the sequence is 157.

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The answer is B, 3\(\sqrt{2}\) +\(\sqrt{6}\)

Exact Form and answer-

B.   3 √ 2 + √ 6  

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The formula for f : M = 38 + 5f will be f = (M - 38) / 5.

no

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is:

M = 38 + 5f

We want to make f the subject of the formula

M = 38 + 5f

Subtract 48 from both sides

M - 38 = 5f

Divide through by 5

f = (M - 38) / 5

Therefore, f = (M - 38) / 5

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Answer: 10,000,000

Step-by-step explanation: when anything rasied to the power you take what ever the Exponaten is and take how everything was there for example 10⁷ 10x10x10x10x10x10x10. And you multiply that.

Answer:

The answer is: 10,000,000

You would do 10 x 10 x 10 x 10 x 10 x 10 x 10

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

For percentages, we divide the part by the whole. In this case, the part is the number of calories from fat and the whole is the total number of calories.

10 / 210 = 0.0476 = 4.76%

Then, we need to round to the nearest tenth.

The answer is 4.8%

Hope this helps!

The chef should assign Jill to make pasta and Betty to make panini because Jill is more efficient than betty. (option 1)

Jill is more efficient at making pasta, being able to produce 20 servings in an hour, while Betty is more efficient at making panini, being able to produce 50 in an hour. By assigning Jill to pasta and Betty to panini, the chef can maximize productivity and minimize waiting times for customers. This way, both cooks can work at their highest capacity, and the restaurant can serve both dishes quickly and efficiently.

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Complete Question:

the head chef at a local restaurant is contemplating how to divide the work between her two cooks, jill and betty. jill can make 25 panini or 20 servings of pasta each hour and betty can make 50 panini or 25 servings of pasta. which of the following should be the chef's choice?

Answer:

y=5/2x+8

Step-by-step explanation:

slope: (y2-y1)/(x2-x1); (8-3)/(0-(-2))= 5/2

y-intercept is 8

Answer:

-156 dollars

Step-by-step explanation:

Answer:

Under $156. Explain more in the question

The total cost of downloading 20 songs is $45.

The total cost of downloading ss songs is $11 + $1.0ss.

What does the word "cost" mean?

During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.

                            In simplest terms, it is the amount of money that businesses invest in buying and selling goods.

The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.

Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs

$11 + ($1 x 45)

$11 + $45

$56

Total cost of downloading ss songs = $11 + ($1 x ss)

$11 + $1ss

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The exponential function can be rewritten as:

f(x) = 48*e^(0.0198*x)

Here we start with the exponential function:

f(x) = 48*(1.02)^x

And we want to write this in the general form:

f(x) =a*e^(kx)

Notice that we can write the second form as:

f(x) = a*[e^k]^x

So, comparing this with the given exponential, we will get:

a = 48

e^k = 1.02

Apply the natural logarithm in both sides:

ln(e^k) = ln(1.02)

k*ln(e) = ln(1.02)

k = ln(1.02) = 0.0198

Then the exponential function is:

f(x) = 48*e^(0.0198*x)

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Answer:

The second years payment is 17689.

Step-by-step explanation:

If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.

Equation: $27894-$10,205= $17689