Directions: Place the LETTER of each value in its location in the real number system below.
A. 7
B.
36
12
Rational
c. - 36
D. TT
Integers
E. 6.48
F.-2
Whole
G.-V10
H. O
Irrational
Natural
1. 2
J. -0.7
K.
4
81

It's because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.

The statements describe a cylinder are

(i) It has two bases

(ii) It has one lateral face

(iii) Its lateral face is a rectangle

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

"The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases."

"The lateral surface of an object is defined as the area of all the sides of the object, excluding the area of its base and top. For a cylinder, the lateral surface area is the curved surface that connects the base and the top."

The statements describe a cylinder are

(i) It has two bases

(ii) It has one lateral face

(iii) Its lateral face is a rectangle

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Answer:

C (all real numbers between -4 and 4)

Step-by-step explanation:

The Domain is defined as the values on the x axis that are in existence for any provided function.

The circle provided only exists for the x values between -4 and 4, therefore making c the answer.

Answer:

The answer is all real numbers between -4 and 4.

Step-by-step explanation:

The domain means the range of x-values, and the minimum is -4 and the maximum is 4, so that is the domain. It can also be written as -4 ≤ x ≤ 4.

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There are two real number solutions for x2 − 5x + 7 = 0: x = 2 and x = 7.

1. x2 − 5x + 7 = 0

2. (x - 2)(x - 7) = 0

3. x = 2 or x = 7

When solving for the real number solutions of x2 − 5x + 7 = 0, we first need to factor the equation into two linear terms: (x - 2)(x - 7) = 0. From here, we can use the Zero Product Property to determine that x = 2 and x = 7 are the two real number solutions of this equation. This means that when x is equal to 2 or 7, the equation will equal 0 and all other values of x will result in a non-zero answer. Therefore, the only two real number solutions of x2 − 5x + 7 = 0 are x = 2 and x = 7.

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Answer:

x = 12, y = 8

Step-by-step explanation:

Since we know that the two triangles are similar that means we can find the ratio. The larger triangle is two times larger, we can find that out using 7/3.5 = 2. That means x + 4 = 2y and 3y = 2x. We can solve for y using substitution. We can double the first equation. 2x + 8 = 4y. We know that 2x = 3y so we can plug that in. 3y + 8 = 4y. Solving for y, gets us y = 8. Now we can plug that into any of the prior equations. I'll use 3y = 2x. 3(8) = 2x. 24 = 2x. Divide both sides by 2. x = 12.

Answer:

k = 11

Step-by-step explanation:

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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Rounding to the nearest whole degree, the measure of Angle J is approximately 34 degrees.

The correct answer is B°.

To find the measure of Angle J, we can use the Law of Cosines:

\(a^2 = b^2 + c^2 - 2bc \times cos(A)\)

In this case, the side opposite Angle J is KL (length 11), and the other two sides are JK (length 13) and LJ (length 19).

Plugging in the values:

\(11^2 = 13^2 + 19^2 - 2 \times 13 \times 19 \times cos(A)\)

Simplifying:

\(121 = 169 + 361 - 494 \times cos(A)\)

Combine like terms:

\(-409 = -494 \times cos(A)\)

Dividing both sides by -494:

\(cos(A) =\frac{-409 }{-494}\)

\(cos(A) \approx 0.82802547771\)

To find the measure of Angle J, we can use the inverse cosine function:

\(A \approx cos^{(-1)}(0.82802547771)\)

\(A \approx 34.043\)

Rounding to the nearest whole degree, the measure of Angle J is approximately 34 degrees.

Therefore, the correct answer is B.

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The Function result are : F(x) = 0  F(3) =-3 are the integer or the reduced function.

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is called the domain of the function and the set Y is called the co-domain of the function. Persian mathematicians Al-Biruni and Sharaf al- Din al-Tusi. Functions were originally an idealization of how one variable depends on another. For example, planetary positions are functions of time. Historically, this concept was elaborated in his late 17th century calculus, and by the 19th century the functions considered were differentiable (i.e. they had a high degree of regularity). The concept of functions was formalized in set theory at the end of the 19th century, greatly expanding the scope of the concept.

According to the Question:

For f(g) = 0, work inside out and find g(0) first. This is the y value at x=0 in the g-plot. -3. Then substitute this answer into the f(x) formula so that f(g(0)) -> f(-3) = f(x) replace x = - 3 in the graph please look. You can see that the y value is +3. So f(g(0))=3

One more thing. Then I think you can understand the remaining two methods. Start with a y value of f(-6)=0 and work from the inside again, inserting it into g(0) = -3 . So g(f(-6))=-3

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The angle measure of m∠O is 13°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

In ΔMNO,

\(\overline {OM}\) ≅ \(\overline {ON}\)

Then the angle opposite to the sides are also congruent.

m∠N = m∠O

And we have, m∠N = 13°.

So, m∠O = 13°.

Therefore, the angle measure is 13°.

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Justin borrow $6,000 from a credit union for 2 years.

What is Principal amount?

The amount of money initially borrowed from the lender, and as the loan is repaid, it can also refer to the amount of money still owed, is called Principal amount.

Given that;

Simple interest = $840

Time = 2 years

Annual rate = 7%

Now, The formula for calculate the principal amount is,

Simple interest = Principal amount × Rate × time / 100

Principal amount = Simple interest × 100 / Rate × time

Hence,

Principal amount = 840 × 100 / 7 × 2

Principal amount = 84,000 / 14

Principal amount = $6000

So, Justin borrow $6,000 from a credit union for 2 years.

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a. The mean is 26.5, and the standard deviation is 1.154, b. The null hypothesis (H₀) and alternative would state that mean is greater , c- critical value approach is 2.997.

In the above problem given ,

Data: 28, 27, 25, 26, 28, 26, 29, 25

a. Mean:

Mean = (28 + 27 + 25 + 26 + 28 + 26 + 29 + 25) / 8 = 26.5 thousand miles

Standard Deviation:

Calculate the deviation of each value from the mean:

(28 - 26.5), (27 - 26.5), (25 - 26.5), (26 - 26.5), (28 - 26.5), (26 - 26.5), (29 - 26.5), (25 - 26.5)

Calculate the squared deviation of each value:

(28 - 26.5)², (27 - 26.5)², (25 - 26.5)², (26 - 26.5)², (28 - 26.5)², (26 - 26.5)², (29 - 26.5)², (25 - 26.5)²

Calculate the sum of squared deviations:

Sum = (28 - 26.5)² + (27 - 26.5)² + (25 - 26.5)² + (26 - 26.5)² + (28 - 26.5)² + (26 - 26.5)² + (29 - 26.5)² + (25 - 26.5)²

Divide the sum of squared deviations by (n-1), where n is the sample size:

Standard Deviation = √(Sum / (n-1)) = 1.154.

b. Null Hypothesis (H₀): The mean life expectancy of the new tires is 26,000 miles.

Alternative Hypothesis (H₁): The mean life expectancy of the new tires is greater than 26,000 miles.

c. Critical Value Approach:

With a sample size of 8, degrees of freedom (df) = n - 1 = 8 - 1 = 7. From the t-distribution table at a significance level of 0.01 and df = 7, the critical value is approximately 2.997.

Calculate the test statistic t:

t = (Sample Mean - Population Mean) / (Standard Deviation / √n)

d. P-value Approach:

To repeat the test using the p-value approach, we calculate the p-value associated with the test statistic. If the p-value is less than the significance level (0.01), we reject the null hypothesis.

Calculate the t-value using the same formula as in c.

Calculate the p-value using the t-distribution with (n-1) degrees of freedom.

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Answer:

b

Step-by-step explanation:

b

Answer:

-3

Step-by-step explanation:

3x+1=7+5x

-3x+1=7+-3x

1=7+2x

-7=-7+2x

-6=2x

-6/2=-3

-3=x

given:

To find 3/4 is a solution of the above given equation.

let us subsitute in value of x.

now,

we get the same answer for the equation.

Thus 3/4 is a solution of the given equaion.

Using proportions, it is found that the expected value of the student's score on the test is of 3.4 points.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are four multiple choice questions, with five options, worth 3 points each, hence the expected score for the multiple choice questions is given by:

Em(X) = 4 x 1/5 x 3 = 12/5 = 2.4.

There are also two true-false questions(two options), worth 1 points, hence the expected score for the two true-false questions is given by:

Etf(X) = 2 x 1/2 x 1 = 1.

Then, the total expected score is given by:

E(X) = Em(X) + Etf(X) = 2.4 + 1 = 3.4.

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Answer:

29

Step-by-step explanation:

In a triangle, a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Given this formula, we knoe c^2 is the product of 21^2 + 20^2.

This gives you 841. Now you just find the square root of 841 which is 29.

Hope this helps :)

Answer:

ok and?

Step-by-step explanation:

Answer:

y = 95°

Step-by-step explanation:

Linear pair of angles add up to 180°

120° + x = 180° [Linear pair of angles]

=> x = 180° - 120°

=> x = 60°

Sum of all angles of a triangle is 180°.

So, 25° + 60° + y = 180°

=> 85° + y = 180°

=> y = 180° - 85°

=> y = 95°

Answer:

x + 120 = 180

x = 180 - 120

× = 60

by angel sum property

25 + x + y = 180

25 + 60 + y = 180

85 + y = 180

y = 180 - 85

y = 95°

Answer:

Step-by-step explanation:

m = 5

n = 2

c = 7

Answer:

5

2

7

Step-by-step explanation:

The value of T(v), express v as linear combination in the basis B and the matrix representation of T obtain is T(v) = [4, -4].

To find T(v), we need to express v as a linear combination of the basis vectors of R^3 with respect to B:

v = (-1)[0] + (-1)[0] + (1)[1]

This means that the coordinate vector of v with respect to B is [-1, -1, 1].

To find the matrix representation of T with respect to the standard bases of R^3 and R^2, we can apply T to each of the basis vectors:

T([1, 0, 0]) = [1, 3]

T([0, 1, 0]) = [-1, 1]

T([0, 0, 1]) = [2, -2]

We can arrange the results in a matrix:

[1 -1 2]

[3 1 -2]

The matrix [1 -1 2; 3 1 -2] represents T with respect to the standard bases of R^3 and R^2.

To find T(v), we can multiply the matrix representation of T with the coordinate vector of v with respect to B:

T(v) = [1 -1 2; 3 1 -2] * [-1; -1; 1] = [4; -4]

Therefore, T(v) = [4, -4].

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Answer: v = 9

Step-by-step explanation: Hi there!

First, add 9v on each side to get

v=9.

Answer:

v=9

Step-by-step explanation:

 −8v=9−9v

−8v=9+−9v

−8v=−9v+9

−8v+9v=−9v+9+9v

v=9

Answer:

18

Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52

Step-by-step explanation:

\(here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps\)

Answer:

(x+4) (x^2−4 x+16)

Step-by-step explanation:

Answer:

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

Answer: here you go this should do the trick.

Answer: the slope is -1/2 and the y-intercept is (0,4)

Answer:

The answer is A

Step-by-step explanation:

60-36= 24/0.15=160

9514 1404 393

Answer:

  (a)  160 miles

Step-by-step explanation:

Let m represent the number of miles Mrs Martin drives. Her rental cost is ...

  c = 36 +0.15m

She wants to find m when that is equal to $60.

  60 = 36 +0.15m

  24 = 0.15m . . . . . . . subtract 36

  24/0.15 = m = 160 . . . . divide by the coefficient of m

Mrs. Martin can afford to drive up to 160 miles.

Answer:

3x^2 + 28x + 61

Step-by-step explanation:

I used MathPapa Algebra Calculator