Sort the sequences according to whether they are arithmetic, geometric, or neither.

Answer:

72°

Step-by-step explanation:

Vertical angles are congruent.

m∠3 = m∠4

7x + 2 = 5x + 22

2x = 20

x = 10

m∠3 = m∠4 = 72°

g(x) is a dilation of scale factor 1/2 of f(x), and the rule is:

g(x) = 2x + 3

Here we have the function f(x) = 4x + 6 and the function g(x) that is defined as:

g(x) = (1/2)*f(x)

So g(x) is a vertical dilation of scale factor k = 1/2 of f(x).

Replacing f(x) in there we get:

g(x) = (1/2)*(4x + 6) = (4/2)*x + 6/2 = 2x + 3

The rule for g is:

g(x) = 2x + 3

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Answer:

20

Step-by-step explanation:

What is 25 percent (calculated percentage %) of number 80? Answer: 20.

Radius, diameter, chord, tangent, arc, center, secant, and sector are the many components of a circle.

A circle is a straightforward shape made up of all the points in a plane that are at specific distances from the center. A circle's origin is its center. A circle's radius is the separation between any two points on the circle. The largest separation between the ends of a circle is its diameter.

Generally speaking, it is important to comprehend the radius, diameter, circumference, and area of a circle, which are the four circle measurements. Any one of these can define a circle. A circle is a spherical form with no sides or corners. In geometry, a circle is a closed, curved shape with two dimensions. The circumference of a circle measured from center to center is its diameter.

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Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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The value of x or the expression 56 = -4x + 2 is -27/2.

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,

56 = -4x + 2

Solve for x.

56 = -4x + 2

Subtract 2 on both sides.

56 - 2 = -4x

54 = -4x

Divide -4 into both sides.

-54/4 = x

x = -54/4

x = -27/2

x = -13(1/2)

Thus,

The value of x is -27/2.

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The expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.

It should be noted that an expression simply shows the relationship that exists between the variables.

In this case + means addition.

Therefore, the expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.

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Answer:

C. 7°F

Step-by-step explanation:

Answer:

D. <S, <R, <T

Step-by-step explanation:

Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.

In ∆RST,

The longest side, SR = 22, is opposite to <T

Therefore, <T is the biggest angle.

Medium side, ST = 21, is opposite to <R, therefore,

<R is the medium angle measure

The smallest angle measure <S is opposite to the shortest side, RT.

Angels I'm order form the smallest to largest will be:

<S, <R, <T

Answer:

(4,0) & (9,5)

Step-by-step explanation:

Where the equations cross are the solutions!

Hope this Helps! :)
Happy Studies

Answer: The sum of the measures of the interior angles of a polygon can be found using the formula:

(n-2) * 180

Where n is the number of sides in the polygon.

For a 12-sided polygon (dodecagon), the sum of the measures of the interior angles would be:

(12-2) * 180 = 10 * 180 = 1800 degrees

Step-by-step explanation:

Answer:

1.578 × 109 inches

Step-by-step explanation:

Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.

First, write both numbers in scientific notation.

Now, multiply using the product property of exponents.

Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.

So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.

Answer:

The equation shows the temperature over time will be:

Hence, option (C) is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where m is the rate of change or slope and b is the y-intercept

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

Thus, the rate of change = slope = m = 3

Thus, substituting m = 3 and b = -7 in the equation

\(y = mx+b\)

\(y = 3x + (-7)\)

\(y = 3x - 7\)

Therefore, the equation shows the temperature over time will be:

Hence, option (C) is correct.

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

The answer for it is diagram B because it does not cross or have parallel lines

Answer:

System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x+3<6  Equation/Question

Step 2

-3x+3<6  Simplify

-3x<3

Step 3

-3x<3  Divide

Answer

x>-1

Hope this helps

Common ratio of the geometric sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.

As we know that,

Common ratio of any G.P. is a constant number that is multiplied by the previous term to obtain the next term.

So, r= (n+1)th term / nth term

where r ⇒ common ratio

          (n+1)th term⇒ succeeding term

          nth term⇒ preceding term

According to the given question, r = (9/8) / (3/4)

                                                       r = (2/3)

We also know,

Any term of a G.P. [nth term] can be obtained by the formula:

Tₙ= a\(r^{n-1}\)

where, Tₙ= nth term

            a= first term of G.P.

            r=common ratio

Since last term of the G.P. is given to be 8/81; putting this in the above formula will yield us the total number of terms.

   Tₙ= a\(r^{n-1}\)

⇒ (8/81) = (9/8) x (\(2/3^{n-1}\))

⇒ (64/729)= (\(2/3^{n-1}\))

⇒\((2/3)^{6}\) = (\(2/3^{n-1}\))

⇒ n-1 = 6

⇒ n = 7

∴ The total number of terms in G.P. is 7.

Therefore, Common ratio of the sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.

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The Common Ratio for this geometric sequence is 2/3 and the total number of terms in the sequence is 6.

The given mathematical sequence appears to be a geometric sequence, which is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the Common Ratio. In a geometric sequence, you can find the Common Ratio by dividing any term by the preceding term.  

So in this case, the second term (3/4) divided by the first term (9/8) equals 2/3. Therefore, the Common Ratio for this geometric sequence is 2/3.

To find the total number of terms in this sequence we use the formula for the nth term of a geometric sequence: a*n = a*r^(n-1), where a is the first term, r is the common ratio, and n is the number of terms. This gives us: 8/81 = (9/8)*(2/3)^(n-1). Solving this for n gives us n = 6. Therefore, the total number of terms in this sequence is 6.

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Answer:

The value of c is \(c = \frac{1}{3}\)

Step-by-step explanation:

Point of inflection:

A function f(x) has a point of inflection at the values of x for which:

\(f^{\prime}(x) = 0\)

Has a point of inflection at (1, f(1))

This means that \(f^{\prime}(1) = 0\)

f(x) = cx^2 + 1/x^2

This means that, applying the derivative of a power rule:

\(f^{\prime}(x) = 2cx - \frac{2}{x^3}\)

Since \(f^{\prime}(1) = 0\)

\(2c - \frac{2}{3} = 0\)

\(2c = \frac{2}{3}\)

\(c = \frac{2}{2*3} = \frac{1}{3}\)

The value of c is \(c = \frac{1}{3}\)

Answer:

Step-by-step explanation:

USE PYTHAGEROMN THEROME a^2+b^2=c^2

9^2+12^2=a^2

81+144=a^2

255=a^2

15=a

Answer:

D) 16

Step-by-step explanation:

12 square root 17 gets you roughly 49.

17*16 = 272

3 square root 272 gets you the same answer as 12 square root 17.

Answer:

sin of 52 radians = 0.98662759204

Step-by-step explanation:

Answer: 0.98

Step-by-step explanation:

Approximately 1, you shouldn't have to answer 0.988 etc on the test.

Answer: 6

Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.

Answer: ok when it start

Step-by-step explanation:

Answer:

thx so much :)

Step-by-step explanation:

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer: 30(x-5)

Explanation:

$30 per overtime hours,

30*(x-5)

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's evaluate :

Answer:

\(46\)

Step-by-step explanation:

Hey there,

Before solving the sum you have to know about the BODMAS theorem.

That means you have to solve this sum according to the BODMAS theory.

BODMAS theory is,

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Let us solve the sum now.

\(3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46\)

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer: 10%

Step-by-step explanation:

1/10 is equal to .10 or 10%

Answer:

10%

Step-by-step explanation:

Divide 1 by 10 and you get 0.10 :)

Step-by-step explanation:

set 3 no is ,x _ I ,x,x+1

X-1 + x + x + I = 84

3 X = 84

X= 84/ 3

X= 2 8

largest no is 29