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Answer:

168

Step-by-step explanation:

21*8=168

Answer:

168 ft ^2

Step-by-step explanation:

Tofind the Area of a rectangle you multiply the Length by the width. By doing this we get the equation Area = 21 * 8. By doing multiplication we get area to be 168.

Answer:

Option (A)

g(x) = 2x – 3

The inverse \(y = \frac{1}{2}x +\frac{3}{2}\) also is a linear function.

g(x) = 2x - 3 function has an inverse that is also a function

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given

g(x) = 2x - 3 is a linear function

Let y = g(x), then y = 2x - 3

y + 3 = 2x

⇒ \(x = \frac{1}{2}y +\frac{3}{2}\)

Hence, the inverse \(y = \frac{1}{2}x +\frac{3}{2}\) also is a linear function.

Option 1 is correct.

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Answer:

7/4, 9/4, 11/4, 13/4

Step-by-step explanation:

+ In an arithmetic sequence, to find the pattern you must subtract a term from the term after it to find the common difference.

3/4 subtracted from 5/4 is 2/4

1/4 subtracted from 3/4 is 2/4

+ So the common difference is 2/4 (Aka 1/2, but you want to keep the same denominator)

+ Therefore, between each new term, you add 2/4

1/4, 3/4, 5/4, 7/4, 9/4, 11/4, 13/4... and so on

Answer:

x and y are both 45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given an isosceles right triangle with hypotenuse length 6, you want the lengths of the two legs of the triangle.

The ratios of side lengths in an isosceles right triangle are ...

  1 : 1 : √2 = x : y : 6

Multiplying by 6/√2 = 3√2, the side length ratios are ...

  x : y : 6 = 3√2 : 3√2 : 6

The values of x and y are 3√2 ≈ 4.243.

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Therefore ,As a result, Jasmine will probably spend her 30 days in a detention facility.

The act of imprisoning someone, being imprisoned, or being confined in a jail or prison. Prison and jail are both used as forms of incarceration, however jail is more frequently used for those who are being detained temporarily. A lower conviction is often indicated by "short" as opposed to "long," which denotes a crime.

Here,

In this area, drug addiction and mental health issues typically coexist. There may be numerous additional prisoners who struggle with PTSD, anxiety, or depressive disorders. 5 These problems could be pre-existing conditions for some persons. Others might have experienced problems brought on by their confinement.

Therefore ,As a result, Jasmine will probably spend her 30 days in a detention facility.

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Answer:

Let m = Number of months

Company A: 60+ 42.95 m

Company B: 25+49.95 m

60+ 42.95 m= 25+49.95 m

Subtract 42.95 from both sides

60 = 25 + 7m

Subtract 25 from both sides

35= 7m

Divide both sides by 7

m = 5

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Torr and mmHg are two units of pressure that are often used interchangeably. In fact, 1 mmHg is equal to 1 torr, which means that they are equivalent units of measurement.

To convert torr to mmHg, you can simply multiply the pressure value in torr by 1, since 1 torr is equivalent to 1 mmHg. For example, if you have a pressure of 760 torr, you can convert it to mmHg as follows:

760 torr x 1 mmHg/torr = 760 mmHg

Therefore, 760 torr is equivalent to 760 mmHg. Alternatively, you can also convert mmHg to torr by dividing the pressure value in mmHg by 1. For example, if you have a pressure of 760 mmHg, you can convert it to torr as follows:

760 mmHg ÷ 1 mmHg/torr = 760 torr

Therefore, 760 mmHg is equivalent to 760 torr.

Torr and mmHg are two units of pressure that are often used interchangeably. In fact, 1 mmHg is equal to 1 torr, which means that they are equivalent units of measurement.

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Answer:

JL ≈ 3.1

Step-by-step explanation:

Using the cosine rule

with JL = k , JK = l , KL = j , then

k² = j² + l² - (2jlcosK )

   = 6² + 8² - ( 2 × 6 × 8 × cos20° )

    = 36 + 64 - (96cos20°)

    = 100 - 96cos20° ( take square root of both sides )

k = \(\sqrt{100-(96cos20)}\) ≈ 3.1 ( to the nearest tenth )

that is JL ≈ 3.1

Answer:

-26/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(16-(-10))/(-2-3)

m=(16+10)/-5

m=26/-5

m=-26/5

The complex numbers among the given options are 2i, 4+9i, 3-4i, and -3+4i.The complex numbers are numbers that have a real part and an imaginary part.

The given options, 2i, 4+9i, 3-4i, and -3+4i all have an imaginary part and therefore are complex numbers. The only option that is not a complex number is 4, which only has a real part. The complex number out of the given options is any number that has an imaginary part, which includes 2i, 4+9i, 3-4i, and -3+4i, but not 4 which only has a real part.
A complex number is a number that can be expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit, which is defined as the square root of -1. Based on the given options:

4 (a real number, not complex)
2i (an imaginary number, part of complex numbers)
4+9i (a complex number)
3-4i (a complex number)
-3+4i (a complex number)

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Answer:

9.461 × 10^17

Step-by-step explanation:

946,100,000,000,000,000 is 9.461x10^17

Answer:

the 3 is in the hundred thousands

Step-by-step explanation:

Answer:

A )Mass -47.9 g

A) Explanation: Based on the given conditions, formulate: x + 2 ×58.35 = 68.8

Calculate the product or quotient: x + 116.7 = 68.8

Rearrange unknown terms to the left side of the equation: x = 68.8 - 116.7

Calculate the sum or difference: x = - 47.9

get the result:x = - 47.9

Answer: x = - 47.9

C) Usually the perfumes are made of aromatic hydrocarbons invloving cetone, ethanol, benzaldehyde, formaldehyde, limonene, methylene chloride, camphor, ethyl acetate, linalool and benzyl alcohol. which have density lower than the water hence they will float on the top of the water.

Answer:12.5 meters

Step-by-step explanation:

(2.5 m/s)*(5 sec) = 12.5 meters

None of the offered answers are correct.

step 1

Find out the center of the circle in the graph

the center is the point (0,2)

step 2

The radius of the second circle is equal to

r=1+2=3 units

therefore

the equation of the circle is

x^2+(y-2)^2=3^2

x^2+(y-2)^2=9

The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

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

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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Answer:

12x + 8) /4

=[12 (2) + 8 ]/4

=[ 24 + 8 ]/4

=32/4

=8

Step-by-step explanation:

\

(12x+8)4

=(12x2 +8)4

=(24+8)4

=(32)4

=128

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, another set of values for r and h that could be used to make a cylinder with a volume that is 8 times greater than the given soda can are r = 6 cm and h = 24 cm

The given soda can has a radius of 3 cm and a height of 12 cm. The formula for the volume of a cylinder is V = πr²h where r is the radius and h is the height of the cylinder.

To find the radius and height of a cylinder that has a volume 8 times greater than the given soda can, we need to multiply the volume of the soda can by 8, and then solve for the radius and height of the cylinder.

Volume of the given soda can = π(3 cm)²(12 cm) = 339.292 cm³

Volume of the cylinder with 8 times the volume of the soda can = 8 × 339.292 cm³ = 2714.336 cm³

Now, we can substitute the values of V and r²h into the formula V = πr²h and simplify it to solve for the possible values of r and h.πr²h = 2714.336 cm³

Substituting the value of V and r²h, we get:π( r²)(h) = 2714.336

Dividing both sides by π, we get:r²h = 864 cm³

Solving for r and h using the given values:

r = 3 cm

h = 12 cm

Substituting these values in the equation:

r²h = 3² × 12 = 108 cm³

Since r²h = 864 cm³, we can find another set of values for r and h by dividing 864 cm³ by 108 cm³ and multiplying both r and h by that same factor.864 ÷ 108 = 8

Multiplying both r and h by 8, we get:

r = 3 cm × 2 = 6 cm

h = 12 cm × 2 = 24 cm

Therefore, another set of values for r and h that could be used to make a cylinder with a volume that is 8 times greater than the given soda can are r = 6 cm and h = 24 cm

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The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer:

  x < -7

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x.

  (4x)/4 < (-28)/4

  x < -7

Answer:

x<-7

Step-by-step explanation:

The researchers could collect information on other factors that might affect blood flow, such as age, gender, and lifestyle habits, and use statistical analysis to control for these variables.

To determine the effects of flavonol on blood flow from different types of chocolate, the researchers could design a randomized controlled trial. They would randomly assign participants to three groups: a dark chocolate group, a milk chocolate group, and a control group. The dark chocolate group would consume a specific amount of dark chocolate each day, while the milk chocolate group would consume the same amount of milk chocolate. The control group would not consume any chocolate at all. The researchers would measure the blood flow in each group before the experiment begins and then again at the end of the experiment. By comparing the blood flow measurements between the three groups, the researchers would be able to determine whether or not flavonol has a positive effect on blood flow. If the dark chocolate group had the highest increase in blood flow, then it could suggest that flavonols are the cause of the improved blood flow. Additionally, the researchers could collect information on other factors that might affect blood flow, such as age, gender, and lifestyle habits, and use statistical analysis to control for these variables.

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Answer:

\(\boxed {x \geq 3}\)

Step-by-step explanation:

Solve the following inequality:

\(3x -4 \geq 5\)

-Add \(4\) to both sides:

\(3x -4 + 4 \geq 5 + 4\)

\(3x \geq 9\)

-Divide both sides by \(3\):

\(\frac{3x}{3} \geq \frac{9}{3}\)

\(\boxed {x \geq 3}\)

The point-slope form with a slope of 5/2 and a point of (4,-7) is 5x-2y=34.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

The slope of line perpendicular to the line y +6=-2/5(x-1)

m1=5/2

point=(4,-7)

y-y1=m(x-x1)

y+7=5/2(x-4)

2y+14=5x-20

5x-2y=34

The point-slope form for slope given as 5/2 and point as (4,-7) will be 5x-2y=34.

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