Select the two expressions that are equivalent to each other.

A. -7/-3

B. three divided by negative 7

C. 3/7

D. (-7) ÷ 3

E. 7/-3

Answer:

Mixed Number form7 9/10 Exact form 79/10 decimal form 7.9

Step-by-step explanation:

Answer:

1.9

Step-by-step explanation:

BODMAS

B=2/4*9/6

=1/2*3/2=3/4

3/4*2=1.5+2/5

=1.9

Answer:

x= 19.5

Step-by-step explanation

sin58 = x/23

x = 23×sin58

x = 19.5

Supplementary angles are two angles whose measures add up to 180°. If An angle is 134.2 then other angles are 22.9.

Supplementary angles are two angles whose measures add up to 180°

Supplementary angles are those that add up to 180.

supplementary angle: x

an angle: x+134.2

and together they must measure 180:

x+x+134.2 = 180

2x+134.2=180

2x=180-134.2

2x=45.8

x=22.9

This is the supplementary angle the other angle is 22.9+134.2 = 157.1

Thus the the angle of each is 22.9.

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The factored form of the polynomial is: P(x) = 2(x - 1/2)(x - 2)(2x² + x + 2)

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

To find the rational zeros of the polynomial, we can use the rational root theorem, which states that any rational root of the polynomial must have the form p/q, where p is a factor of the constant term (-4 in this case) and q is a factor of the leading coefficient (2 in this case).

The factors of -4 are ±1, ±2, and ±4, and the factors of 2 are ±1 and ±2. Therefore, the possible rational zeros of the polynomial are:

±1/2, ±1, ±2, ±4

We can now test these values using synthetic division or long division to see which ones are actually zeros of the polynomial. After trying these values, we find that the polynomial has two rational zeros:

x = 1/2 and x = 2

To write the polynomial in factored form, we can use these zeros to factor it as follows:

P(x) = \(2x^4\) − 7x³ + 3x² + 8x − 4

= 2(x - 1/2)(x - 2)(2x² + x + 2)

Therefore, the factored form of the polynomial is:

P(x) = 2(x - 1/2)(x - 2)(2x² + x + 2)

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The improper fraction is 81/10.

Mixed number:

To convert a decimal to a mixed number, the whole number part of the decimal is written as the integer part of the mixed number, and the decimal part is written as the fraction part of the mixed number.

Therefore, to convert 8.1 to a mixed number, it will be written as

8.1 = 8 + 0.1

Thus, 8.1 as a mixed number is 8 1/10.

Improper fraction:

To convert a mixed number to an improper fraction, the following steps are taken:

a) The denominator of the fraction part is retained as the denominator of the improper fraction.

b) The numerator of the fraction part is added to the product of the integer part and the denominator.

c) The sum obtained in step b is the new numerator of the improper fraction.

Therefore,to convert 8 1/10 to an

improper fraction = (10 × 8) + 1/10

improper fraction = 80/10 + 1/10= 81/10

Thus, 8.1 as an improper fraction is 81/10.

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Answer:

D js hu sisngsizkabs s ah w

(first base + second base)x height ÷ 2

Answer:

22/a

Step-by-step explanation:

The quotient of 22 and a number = 22/a

Answer:

x = - 2, x = 1

Step-by-step explanation:

Given

f(x) = \(\frac{x}{(x+2)(x-1)}\)

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving for x gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

(x + 2)(x - 1) = 0

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Vertical asymptotes occur at x = - 2 and x = 1

The histogram that represents a set of data that is left-skewed is the one where the majority of the data is on the right side of the histogram, and the tail of the histogram extends to the left.

A left-skewed histogram is also called a negatively skewed histogram. In a left-skewed distribution, the majority of the data values are on the right side of the histogram, and the tail of the histogram extends to the left. This means that the data is clustered around higher values and gradually decreases as the values become smaller.

For example, imagine a dataset that represents the ages of a group of people. If most of the people in the group are young adults, but there are a few older individuals, the histogram would be left-skewed because the tail of the histogram (representing the older individuals) would extend to the left.

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Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

According to the given data the non - degenerated closed interval in r is calculated as \(\int\limits^t_s\)f(t) - f(s).

Any set that only contains one real number is known as a degenerate interval (i.e., an interval of the form [a,a]).  an interval is measured in terms of numbers. An interval is any integer that falls between two specific numbers. This range encompasses all real numbers between those two. Real numbers can be any number anyone can think of. A degenerate interval is any set that contains only one real number (i.e., an interval of the form [a, a]). The empty set is included in this definition by some authors. A suitable interval is one that is either empty or degenerate and has an infinite number of elements.

f(x\(_r\)) - f(x\(_r\)₋₁)  = F' (e\(_r\))(x\(_r\) - x\(_r\)₋₁)

By summating the equation it becomes.

f(t) - f(s) \(\int\limits^t_s\) f < = f(t) - f(s) --------->

\(\int\limits^t_s\) ts < = f(t) - f(s)  ------------->2

From 1 and 2

\(\int\limits^t_-s < ={f(t) - f(s) < = \int\limits^t_d {f}\)

So, it finally becomes

\(\int\limits^t_s\)f < = f(t) - f(s)

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Answer:

-6

Step-by-step explanation:

x - 8 = -14

Add 8 to both sides of the equation

x - 8 + 8 = -14 + 8

x = -6

Answer:

a = 16

Step-by-step explanation:

6 = \(\frac{a}{4}\) + 2 ( subtract 2 from both sides )

4 = \(\frac{a}{4}\) ( multiply both sides by 4 to clear the fraction )

4 × 4 = a , that is

a = 16

Given

The triangle ABC at points A = (2, 2) B = (4, 5) C = (6, 3).

To find:

Answer:

10

Step-by-step explanation:

2-digit numbers are numbers that have two digit which they start from 10-99 so in this question i chose 10 as an example.

we are given data on bear transplants in Glacier National Park over a 10-year period and are asked to calculate probabilities related to the bears' characteristics and outcomes.

a) To find the probability of selecting a male bear that became a nuisance after relocation, we divide the number of male bears that became nuisances by the total number of bears in the sample.

b) To find the probability of selecting a female bear or a bear that was successfully transplanted, we add the number of female bears to the number of successfully transplanted bears and divide by the total number of bears in the sample.

c) To find the probability of a randomly selected bear being a female and returning to the capture area, we divide the number of female bears that returned to the capture area by the total number of female bears in the sample.

d) To find the probability of a randomly selected male bear being enough of a nuisance to be transplanted, we multiply the proportion of nuisance bears that are male by the overall proportion of bears that become nuisances.

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The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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The necessary components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation.

To describe a rotation of a figure on a coordinate plane, the necessary components include the center of rotation, the shape of the figure, and the number of degrees of rotation.

a. The center of rotation is a fixed point around which the figure rotates. It serves as the anchor for the rotation and determines the position of the figure after the rotation is applied.

b. The shape of the figure refers to its size, proportions, and geometric characteristics. This information is crucial as the figure retains its original shape during the rotation.

c. The number of degrees of rotation determines the magnitude of the rotation. It specifies how much the figure is rotated around the center of rotation. Positive angles indicate counterclockwise rotations, while negative angles represent clockwise rotations.

d. The direction of rotation is not necessary to describe a rotation on a coordinate plane. The rotation can be defined solely by the center, shape, and angle of rotation.

In summary, the essential components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation. The direction of rotation is not required to define the rotation.

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Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

The local hour angle of Sirius when the local sidereal time is 03h 00m is approximately -56.25 degrees.

To find the local hour angle of Sirius, we need to determine the difference between the local sidereal time and the right ascension of Sirius. The local sidereal time represents the hour angle of the vernal equinox, which is the point in the sky where the Sun crosses the celestial equator from south to north during the spring equinox.

We have,

Right Ascension of Sirius = 06h 45m

Declination of Sirius = -16° 43'

First, we need to convert the right ascension of Sirius into degrees. Since there are 24 hours in a full circle, each hour corresponds to 15 degrees (360°/24h). Each minute of right ascension corresponds to 0.25 degrees (15°/60m).

Right Ascension of Sirius in degrees:

= (6 hours * 15 degrees/hour) + (45 minutes * 0.25 degrees/minute)

= 90 degrees + 11.25 degrees

= 101.25 degrees

Next, we need to convert the local sidereal time into degrees. Since there are 24 hours in a full circle, each hour corresponds to 15 degrees.

Local Sidereal Time in degrees:

= 3 hours * 15 degrees/hour

= 45 degrees

Finally, we can calculate the local hour angle of Sirius by subtracting the right ascension of Sirius from the local sidereal time.

Local Hour Angle of Sirius:

= Local Sidereal Time - Right Ascension of Sirius

= 45 degrees - 101.25 degrees

= -56.25 degrees

The local hour angle of Sirius when the local sidereal time is 03h 00m is approximately -56.25 degrees.

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Answer:

36

explanation

base times height time 1/2

Have a great day

Answer:

Step-by-step explanation:

To find the number of tickets Kenji hoped to sell each week, we can set up an equation based on the information given.

Let's assume Kenji's goal was to sell x tickets each week.

According to the problem, Kenji sold a total of 115 tickets after 8 weeks but was still 21 tickets short of his goal. This means he sold 115 - 21 = 94 tickets towards his goal.

The equation to find the number of tickets Kenji hoped to sell each week can be written as:

8x = 94

Here, 8 represents the number of weeks and x represents the number of tickets Kenji hoped to sell each week.

To solve the equation for x, we divide both sides by 8:

x = 94/8

Simplifying:

x = 11.75

Therefore, Kenji hoped to sell approximately 11.75 tickets each week to reach his goal. Since it is not possible to sell a fraction of a ticket, we can conclude that Kenji aimed to sell 11 tickets per week.

Answer:

3/2 =x

Step-by-step explanation:

1/8 = x/12

Solve using cross products

1 * 12 = 8x

12 = 8x

Divide each side by 8

12/8 =8x/8

3/2 =x

The probability of obtaining a 1 on a fair six-sided die is 1/6 or approximately 0.1667, assuming each outcome is equally likely.

While moving a bite the dust, there are six potential results, each comparing to one of the essences of the block numbered 1 to 6. In the event that the kick the bucket is fair, every result is similarly logical, and the likelihood of acquiring a specific result is given by the quantity of ways that result can happen partitioned by the complete number of potential results. Since there is just a single face numbered 1, the quantity of ways of getting a 1 will be 1, and the all out number of potential results is 6. Hence, the likelihood of getting a 1 while moving a pass on is 1/6 or roughly 0.1667. Overall, we would hope to get a 1 on one out of each and every six rolls of the kick the bucket, it is reasonable to expect it.

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Answer:

100.48

Step-by-step explanation:

Volume of a cylinder: pi, r^2, h

3.14 • 2^2 • 8

3.14 • 4 • 8

3.14 • 32

100.48

Hope this helps!

Answer:

5

Step-by-step explanation:

Did you mean length instead of tenth? If so, 22*2=44, 64-44=20, 20/2=10. The length of the rectangle is 10 so to find the value of x, divide 10 by 2 so, 10/2=5, and x is equal to 5. : )

C. Yes, at negative and positive x‐coordinates or zero

I believe it is this

Answer: b Yes ,at negative x coordinates or zero

Step-by-step explanation:

we can see through the values that the graph will graph on the negative x coordinate or zero