If f(x) = 2x - 5, then f(4) is _____.

Answer:

c) 21

Step-by-step explanation:

\( \sqrt{169} + \sqrt{64} \)

13+8

answer is 21

The value of n for the equation to be true is n = 3,1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A , 3.74 = 0.4n + 2.5

Now ,

3.74 = 0.4n + 2.5

Subtracting 2.5 on both sides of the equation , we get

0.4n = 3.74 - 2.5

0.4n = 1.24

Divide by 0.4 on both sides of the equation , we get

n = 3.1

Therefore , n = 3.1

Hence , the value of n for the equation to be true is n = 3.1

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Answer:

8.5 inches

Step-by-step explanation:

To find the height of Aba's dog -

Subtract 5 1/2 from 14 to find the amount she grew:

The result should be 8.5 or 8 1/2.

So Aba's dog grew 8.5 inches.

The Coefficient of xⁿ In the Expansion 1 / (1 + x + x²) is 1

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression.

It is typically a number, but it can also be any expression. They may also be referred to as parameters

The coefficient is usually the number in front of the variable represent by an letter.

For the given problem the given letter is x and the coefficient is 1, a coefficient of 1 is most times not written and hence we know the coefficient is 1

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Answer:

b: 5/7

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

You got to find 2 points that you want and use the formula y1-y2 and x1=x2 and you find your slope.

By applying the simple concept of algebra, the equation showing the number of Kenny's baseball cards (b) is b = 82 + 159. So it can be concluded that the number of Kenny's baseball cards is 241 cards.

The use of algebra in everyday life.

Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve math problems. In everyday life, algebra is often used, starting from simple mathematical operations, to financial planning, calculating time/mileage, and so on.

In the above questions, we can take some notes as follows:

Baseball cards sold (x) = 82 cards.

Remaining baseball cards (y) = 159 cards.

The number of baseball cards owned by Kenny (b):

b = x + y

  = 159 + 82

  = 241 cards

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This is equivalent to the fraction 1085/2

===============================================================

Explanation:

AP stands for "arithmetic progression", which is another name for "arithmetic sequence"

a1 = -10 is the first term

the 15th term happens when n = 15, so

an = a1 + d*(n-1)

a15 = -10 + d(15-1)

a15 = 14d-10

Set this equal to 11 (the stated 15th term) and solve for d

a15 = 11

14d-10 = 11

14d = 11+10

14d = 21

d = 21/14

d = 3/2

d = 1.5 is the common difference

Let's find the nth term

an = a1 + d(n-1)

an = -10 + 1.5(n-1)

an = -10 + 1.5n - 1.5

an = 1.5n - 11.5

-------------------------------

The last term is 41, so we'll replace the 'an' with that and solve for n

an = 1.5n - 11.5

41 = 1.5n - 11.5

41+11.5 = 1.5n

52.5 = 1.5n

1.5n = 52.5

n = (52.5)/(1.5)

n = 35

So the 35th term is 41.

-------------------------------

We're summing n = 35 terms from a1 = -10 to an = 41

S = sum of the first n terms of arithmetic progression

S = (n/2)*(a1 + an)

S = (35/2)*(-10+41)

S = 542.5

The 35 terms add up to 542.5 which is the final answer

As an improper fraction, this converts to 1085/2

The null hypothesis (H0) states that there is no significant difference between the batting averages of Ohio State and Michigan players.

The alternative hypothesis (H1) posits that there is a significant difference between the two. By conducting the hypothesis test at a significance level of .05, the goal is to determine if the observed difference in sample means (.400 - .390) is statistically significant enough to reject the null hypothesis and support the claim that there is indeed a difference in batting averages between Ohio State and Michigan players.

A rivalry between Ohio State and Michigan alumni has sparked a debate about the difference in batting averages between their baseball players. A sample of 60 Ohio State players showed an average of .400 with a standard deviation of .05, while a sample of 50 Michigan players had an average of .390 with a standard deviation of .04. A hypothesis test with a significance level of .05 will be conducted to determine if there is a significant difference between the two schools' batting averages.

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         - - - - - - - - - - - - -- - - - - - - - - --  -- - - - - - - - -- - - - - - - -- - - - - - -- - - - - - -

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

How many kilometers is equal to 800 meters?

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

Divide the number of meters by 1000 to convert meters (m) into kilometers  (km):

\(\texttt{800:1,000=0.8 km}\)

                - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - -- - - - - - - - -

Answer:

A. 60°

Step-by-step explanation:

∠BEC = 1/2 arc BC = 32°

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

arc CD = 2 x ∠CED = 2 x 30° = 60°

The measure of the arc CD of the circle is 60°

Given data:

The central angle is an angle with two arms and a vertex in the middle of a circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

And, Central Angle = 2 x Angle in other segment

So,

∠BEC = 1/2 arc BC = 32°

The measure of the angle ∠CED  is determined as:

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

So, the measure of the arc from the central angle is:

arc CD = 2 x ∠CED = 2 x 30° = 60°

Hence , the measure of arc CD = 60°

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Answer:

(-2,0)

Step-by-step explanation:

y=-2x-4

y=x+2

------

(-2, 0) is the answer

Answer: The Given sequence is 9, 10, 11, 12

We need to find the expression to describe the sequence.

Let  be the  term of the sequence.

Let n represent the position of the term.

Let a be the first term in the sequence.

and d be the common difference between the sequence

Hence the expression to find the above sequence is given below;

when n=1 d= 1 a = 9

when n=2 d= 1 a = 9

when n=3 d= 1 a = 9

when n=3 d= 1 a = 9

Hence the expression is

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

because it is on the -2 area

Answer:

x=3√5

Step-by-step explanation:

This is a right angle triangle

So the equation is

2²+x²=7²

x=√7²-2²

x=3√5

Answer:

x=3√5

Step-by-step explanation:

Answer:

$1,319 I believe because 1,250/18 = 69.4  and then 1,250+69=1,319 but if you need the cents I guess you would call it then it would be $1,319.4

Answer:

10 i believe

Step-by-step explanation:

Answer:

C = 5pi inches or approximately 15.7 inches

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is given by d=5

C = pi *5

If we use pi is approximated by 3.14

C = 3.14 *5 =15.7

C = 5pi inches or approximately 15.7 inches

your answer is 900.00

your welcome

have a good day or night

Answer:

$3068 after 1 year

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume you mean to solve for M in terms of a, b, x, and y.

To solve for M, we can first simplify the given polynomial:

2x^2 - (1/3)ax + by - M = 0

Multiplying through by -1 to isolate M:

M = 2x^2 - (1/3)ax + by

Therefore, the polynomial M is:

M = 2x^2 - (1/3)ax + by

Answer:

1/4

Step-by-step explanation:

it came to me in a dream.

1/4 or 25% is the probability that the randomly selected point is in the bullseye.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The area of the bullseye is the area of the inner circle with a radius of 4 cm. Similarly, the area of the entire target is the area of the outer circle with a radius of 8 cm.

The area of a circle is given by the formula A = πr², where A is the area and r is the radius.

Therefore, the area of the bullseye is:

A_bullseye = π(4 cm)² = 16π cm²

And the area of the entire target is:

A_target = π(8 cm)² = 64π cm²

So, the probability that the randomly selected point is in the bullseye is the ratio of the area of the bullseye to the area of the target:

P(bullseye) = A_bullseye / A_target

P(bullseye) = (16π cm²) / (64π cm²)

P(bullseye) = 1/4

Therefore, the probability that the randomly selected point is in the bullseye is 1/4 or 25%.

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It is not possible to construct a triangle whose sides are 9 cm 7 cm and 17 cm because the sum of two sides(9 cm and 7 cm) are smaller than third sides(17 cm).

In the given question, we have to check that it is possible to construct a triangle whose sides are 9 cm 7 cm and 17 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.

To check this we firstly add the 9 and 7

9 + 7 < 17

16 < 17

Now we add 17 and 7

17 + 7 > 9

24 > 9

Now we add 9 and 17

9 + 17 > 7

26 > 7

It is not possible to construct a triangle whose sides are 9 cm 7 cm and 17 cm because the sum of two sides(9 cm and 7 cm) are smaller than third sides(17 cm).

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Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

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The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

Answer: ∠1 = 90°

Step-by-step explanation:

      There are a few steps we will take to solve this problem. In each step, I will write an equation to help us solve, then use inverse operations to solve.

      First, we will use the exterior angles theorem to find the measurement of ∠3 (this will help us solve for ∠2, then for ∠1).

89° = 51° + ∠3

∠3 = 38°

      Next, we will find the measurement of ∠2 since we know ∠2 plus ∠3 is 90 degrees, as shown by the perpendicular lines and the box.

90° = ∠3 + ∠2

90° = 38° + ∠2

∠2 = 52°

      Lastly, we will solve for ∠1. We know that there are 180 degrees in a triangle.

180° = 38° + ∠1 + ∠2

180° = 38° + ∠1 + 52°

180° = 90° + ∠1

∠1 = 90°

Answer:

90

Step-by-step explanation:

I started by finding angle 5

180 - 89 = 91  Supplemental angles

Then I found angle 3

The sum of the interior angles of a triangle is 180

180-89-91 = 38

Angle2 and 3 are complementary angles

90- 38 =52

the sum of the interior angles of a triangle is 180

Angle 1

180 - 52 - 38 = 90

Answer:

see attached.

Step-by-step explanation:

Answer:

X=sigma xi/no of observation

5= (?) /4

5*4=sum of all numbers

20=sum of all the observation

If you are helped by this answer pls tag me brianliest I really want it

THANK YOU.......

Answer:

11 kilometers

Step-by-step explanation:

Since there are 1,000 m in 1 km, John ran 5 km on Monday. Combine that with the 6 km he ran on Tuesday, and you get 11 km in total.

Answer:

11 kilometers

Step-by-step explanation:

1000 meters=1 kilometer

5000÷1000=5

5+6=11

To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.

An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.

The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.

However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.

For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.

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Answer:

Step-by-step explanation:

Hey! I'm an elevation student as well. I believe that where "x" is placed, that little square in the corner means that is a 90 degree angle so the value of x would be 90

The values of a and b in the given surd expression are; a = 27/22 and b = 1/2

The correct expression is;

(7 + √5)/(7 - √5) - (7 - √5)/(7 + √5) = a + (7/11)√5b

Let us first rationalize the denominator of the first term to get;

(7 + √5)/(7 - √5) = [(7 +√5)/(7-√5)] * [(7 + √5)/(7 + √5)]

⇒ (54 + 14√5)/44

⇒ (27/22) + 7(√5)/22

Let us first rationalize the denominator of the second term to get;

[(7 - √5)/(7 + √5)] * [(7 - √5)/(7 - √5)]

⇒ (54 - 14√5)/44

⇒ (27/22) - 7(√5)/22

Thus;

a = 27/22 and b = 1/2

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The additional amount that Austin will have for his boat purchase after 2.5 years of depositing $5,000 at 3% simple interest is $375.

Simple interest is the interest system that computes interest only on the principal for each period.

The simple interest formula is Principal x Rate x Time.

The cost of the boat that Austin wants to purchase = $15,000

The initial deposit made by Austin in a savings account (principal) = $5,000

Simple interest rate = 3%

3% = 3 ÷ 100 = 0.03

Investment period = 2.5 years

Simple Interest (Additional money in the account) = $375 ($5,000 x 0.03 x 2.5)

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122.500$

First hello I hope you are doing. The first step is to multiply 2.500 with 29 and the result is 72.500$ . Then you add the 50.000$ to 72.500$ which is the raise and you have the result which is 122.500$

I hope I helped you