how many ways are there to pick a sequence of two different letters of the alphabet that appear in the word Crab

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The correct number that is divisible by 2, 3, 4, 5, and 6 is 60.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

We will find factors for each number.

10:

2 x 5 = 10

30:

2 x 15 = 30

3 x 10 = 30

5 x 6 = 20

45:

3 x 14 = 45

5 x 9 = 45

60:

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

We see that,

60 is divisible by 2, 3, 4, 5, and 6.

Thus,

The correct number that is divisible by 2, 3, 4, 5, and 6 is 60.

Option D is the correct answer.

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The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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Answer:

Question 7:

Answer: f(2) = 4

Question 8: 3 + x

The composite function (g o f)(5) has a value of 39

The definitions of the functions are given as

f(x) = x² + 5 and g(x) = 6x - 15

To find the composition (g o f)(2), we make use of

(g o f)(x) = g(f(x))

So, we have the following equation

(g o f)(x) = 6(f(x) - 15

Substitute f(x) = x² + 5 in the equation (g o f)(x) = 6(f(x) - 15

So, we have the following equation

(g o f)(x) = 6(x² + 5) - 15

Substitute 2 for x

So, we have

(g o f)(2) = 6(2² + 5) - 15

Evaluate the expression

So, we have the following equation

(g o f)(2) = 39

Hence, the value of the composition is 39

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(a) Average velocity over [1,5] is -21. (b) Average velocity over [1,4] is -14. (c) Average velocity over [1,3] is -7. (d) Average velocity over [1, 1+h] is -7t + 70 where h is any real number.

Calculating average velocity requires the calculation of the change in position divided by the change in time.

For a: The change in position is -70 and the change in time is 4. So, the average velocity is -70/4 = -17.5.

For b: The change in position is -56 and the change in time is 3. So, the average velocity is -56/3 = -18.67.

For c: The change in position is -35 and the change in time is 2. So, the average velocity is -35/2 = -17.5.

For d: The change in position is -7t and the change in time is h. So, the average velocity is -7t/h = -7t + 70.

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A complete question: The position of an object moving along a line is given by the function s(t) = -7t^2 +70t. Find the average velocity of the object over the following intervals.

(a)​ [1,5]

​(b) ​[1,4​]

​(c)​ [1,3​]

​(d) ​[1, 1​+h] where h > 0 is any real number

Answer:

\( {x}^{2} {y}^{8} \) (second option)

Step-by-step explanation:

\( \frac{( {x}^{2} {y}^{3} {)}^{4} }{( {x}^{3} {y}^{2} {)}^{2} } \)

\(( {x}^{2} {y}^{3} {)}^{4} = ( {x}^{2} {)}^{4} \times ( {y}^{3} {)}^{4} \)

\( {x}^{8} \times ( {y}^{3} {)}^{4} = {x}^{8} {y}^{12} \)

\( \frac{ {x}^{8} {y}^{12} }{( {x}^{3} {y}^{2} {)}^{2} } = \frac{ {x}^{8} {y}^{12} }{ {x}^{6} {y}^{4} } \)

\( \frac{ {x}^{2} {y}^{12} }{ {y}^{4} } = {x}^{2} {y}^{8} \)

\( = {x}^{2} {y}^{8} \)

The value of x using the theorem of intersecting secants is 10

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

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer:

-188

Step-by-step explanation:

Answer:

\(m\angle S=119^\circ\), \(m\angle U=87^\circ\)

Step-by-step explanation:

Since \(STUVW \sim HIJFG\), we know that

\(m\angle S=m\angle H\) and \(m\angle U=m\angle J\)

since corresponding angles in similar triangles are equal in measure.

Therefore, looking at the second diagram, we see

\(m\angle H=119^\circ\)   and   \(m\angle J=87^\circ\).

Plugging these values into the equations we found in the first step, we get

\(m\angle S=m\angle H=119^\circ\)   and   \(m\angle U=m\angle J=87^\circ.\)

So, we have \(\boxed{m\angle S=119^\circ}\) and \(\boxed{m\angle U=87^\circ}\).

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

Answer:

\(\frac{1}{4}s^2\)

Step-by-step explanation:

Use the formula for the area of a square and divide the result by 4.

Answer:

Step-by-step explanation:

(x + 4)^2 - 2 = 7 simplifies to

(x + 4)^2 = 5

We must isolate x.  To do this, take the square root of both sides, obtaining:

x + 4 = ±√5

There are two roots/solutions.  They are:

x = -4 + √5 and x = -4 - √5            

You must include the square root operator (√).  Use "  ^  " to denote exponentiation.

The solutions to the given equation (x + 4)² - 2 = 7 when calculated are; 1 and 7

We are given the equation as;

(x + 4)² - 2 = 7

Add 2 to both sides to get;

(x + 4)² = 9

Find the square root of both sides to get;

x + 4 = ±3

Thus;

x = 3 + 4 and x = -3 + 4

x = 1 and 7

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Answer: Jen is wrong about her classification.

Step-by-step explanation:

First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.

So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.

The Jen classifies the number 4.567 as an irrational number is false.

It is required to find the number is rational and irrational numbers.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given :

Jen's argument

We have

4.567 as an irrational number

The above claim is false because

4.567 =

4567/1000

When we divide the above number in the form of p/q  and q≠0 then then number is rational number.

Therefore, the Jen classifies the number 4.567 as an irrational number is false.

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Answer:

342 ÷ 23 = 14.869565217 or 14 r 20

Check step-by-step explanation below for 2 methods to solve.

14.869565217 method right below

14 r 20 method at the bottom in bold and underlined

Hope this helps :)

Step-by-step explanation:

divisor

↓ ? <------ quotient

23 | 342 <------ dividend

remainder = r (the number that the divisor can't go into.

1) 23 goes into 34 one time, so we write the one on top.

1

23 | 342

2) 23 • 1 = 23 so then we subtract 23 from 34 and get 11.

1

23 | 342

- 23

1 1

3) Now we carry down the 2 and get 112.

1

23 | 342

- 23 ↓

1 1 2

4) 23 goes into 112 four times, so we write the four on top.

1 4

23 | 342

- 23 ↓

1 1 2

5) 23 • 14 = 92 so we subtract 92 from 112 and get 20.

1 4

23 | 342

- 23 ↓

1 1 2

- 92

20

6) 23 can't go into 20 so we add a decinal and a zero to 342 (dividend) and add a decimal to 14 too.

1 4.

23 | 342.0

- 23 ↓

1 1 2

- 92

20

7) Repeat the same steps again (Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor (if greater use it if less than take the next number). Then divide it by the divisor and write the answer on top as the quotient. Subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Repeat the same process.)

1 4.8

23 | 342.0

- 23 ↓↓

1 1 2

- 92

200

- 1 84

16

8) Keep repeating and then we get 14.8695652174

*However, if the directions say to not continue and add the decimal and zero then we must put a remainer (r).*

1 4 r 20

23 | 342

- 23 ↓

1 1 2

- 92

20

Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.

Step-by-step explanation:

Answer:

7.1 (I rounded this number to the tenths)

Step-by-step explanation:

440÷3,168 or use long division

The balance in Yolanda's saving plan after 14 years is; $9,455.36

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

PMT = 250

i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

FV = ?

For Zach:

PV = 0

PMT = $3300

i% = 4%

N = 14 yrs

FV = ?

From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

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Answer:

a

Step-by-step explanation:

Both the exponential and logarithmic functions tend to infinity.

Micro middle sold the least no of different types of consoles.

Matrices represent data in the form of rows and columns together as an array form.

From matrix A we get the data as follows,

A row represents shops and columns represents types of console.

Games Go sold (53 + 21 + 48) = 122 different types of consoles.

Better Buy sold (65 + 34 + 70) = 169 different types of consoles.

Micro middle sold (18 + 11 + 15) = 34 different types of consoles.

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Step-by-step explanation:

the oak tree is 17 years old

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Based on the information provided, it can be concluded that the quotient 7^5/7^2 is 7^3

Indices are the power or exponent which is raised to a number or a variable. This means the indices are used to indicate how many times the number has been multiplied by itself.

By using the law of division which is when dividing indices with the same base, subtract the powers. This process is shown below:

a^m / a^n = a^m-n

So, 7^5/7^2= 7^5 - 2= 7^3

According to the above, the correct quotient of 7^5/7^2 is 7^3

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Answer:

The Distance is 10

Step-by-step explanation:

Answer:

integers

Step-by-step explanation:

integers include whole numbers and negative non fractions

9514 1404 393

Answer:

  $15

Step-by-step explanation:

The desired rate is ...

  "unit rate" = cost/T-shirt = $180/(12 T-shirts) = $15/T-shirt

__

The unit rate is based on its definition. Here, the rate of interest is the cost per shirt, so it is found by dividing the cost by the number of shirts.

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)