Select each correct answer

x=-3

x=-2

x=-1

x=0

x=1

x=2

x=3

Answer:

45

Step-by-step explanation:

You are given only one space. Note that the term 6 shows up on both sides. Therefore, it is implying that you need to multiply the other two terms together. Do so:

9 x 5 = 45

45 is your answer.

~

Answer:

16 + (–7) + 22 + (–12)

Hope this helped!!!

Answer:

$54

Step-by-step explanation:

10% of $60 is $6

$60-$6=$54

Answer:

see below

Step-by-step explanation:

1. 4 + 4w

2. 18w + 9

3. 18 + 6x

4. 21x + 42

5. 25x + 45

Hope this helps!

The dual problem of the primal problem "Maximize Z = 7X1 + 5X2, Subject to X1 + 2X2 ≤ 6, 4X1 + 3X2 ≤ 12, X1, X2 ≥ 0" is:

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Greater than (or greater than or equal to), less than (or less than or equal to), or not equal to signs are used in place of the equal sign.

Minimize Z = 6Y1 + 12Y2

Here

Y1 + 4Y2 ≥ 7

2Y1 + 3Y2 ≥ 5

Y1, Y2 ≥ 0

(b) The dual problem of the primal problem "Maximize Z = 3X1 + 4X2, Subject to 5X1 + 4X2 ≤ 200, 3X1 + 5X2 ≤ 150, 8X1 + 4X2 ≥ 80, X1, X2 ≥ 0" is:

Minimize Z = 200Y1 + 150Y2

Subject to:

4Y1 + 5Y2 ≥ 3

5Y1 + 3Y2 ≥ 4

4Y1 + 8Y2 ≤ -80

Y1, Y2 ≥ 0

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ9

"Your question is incomplete, probably the complete question/missing part is:"

Write the dual of following problems:

(a) Maximize Z = 7X1 + 5X2

Subject to:

X1 + 2X2 ≤ 6

4X1 + 3X2 ≤ 12

X1, X2 ≥ 0

(b) Maximize Z= 3X1 + 4X2

Subject to:

5X1 + 4X2 ≤ 200

3X1 + 5X2 ≤ 150

8X1 + 4X2 ≥ 80

X1, X2 ≥ 0

The simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³

We want to solve the algebraic fraction equation given as;

3a³ - 5b³ + (3/a) + b³

Rearranging the algebra to get;

(3a³ + (3/a)) + b³ - 5b³

Factorizing out 3/a and simplifying gives;

(3/a)(a⁴ + a) - 4b³

This is the final part for the simplification of the given algebraic fraction. Thus, we can conclude that the simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³

Read more about Algebraic Fractions at; https://brainly.com/question/11875858

#SPJ1

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

The marginal cost when x = 25 and when x = 100 are $0.1 and $0.05 respectively.

A marginal production cost is a derivative of a cost function. From the information given, the total cost is:

The marginal production cost can be expressed as:

\(\mathbf{C'(x) = \dfrac{d}{dx}(\sqrt{x})}\)

\(\mathbf{C'(x) = \dfrac{1}{2\sqrt{x}}}\)

However, when the cost is 25, the marginal production is:

\(\mathbf{C'(25) = \dfrac{1}{2\sqrt{25} }}\)

\(\mathbf{C'(25) = \dfrac{1}{2\times5}}\)

\(\mathbf{C'(25) = \dfrac{1}{10}}\)

C' (25) = $0.1

Also, when the cost is 100, the marginal production is:

\(\mathbf{C'(100) = \dfrac{1}{2\sqrt{100} }}\)

\(\mathbf{C'(100) = \dfrac{1}{2\times10}}\)

\(\mathbf{C'(100) = \dfrac{1}{20}}\)

C' (100) = $0.05

Learn more about marginal cost here:

https://brainly.com/question/3200587

#SPJ1

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

Learn more about mathematics click;

https://brainly.com/question/27235369

#SPJ1

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

Learn more about subjects, here:

https://brainly.com/question/23548366

#SPJ1

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

For more such questions on homework

https://brainly.com/question/28521601

#SPJ8

The arc length of the given sector is; S = 15.7 km

From the given sector of the circle we are given that;

radius; r = 10 km

Angle subtended at the center; θ = 90°

Now, formula for arc length of a sector is;

S = rθ

where

r is the radius

θ is the angle measured in radians

Now, our angle 90 degrees in radians is;

90 degrees = π * 90/180 = π/2

Thus;

S = 10 *  π/2

S = 10 * 3.14/2

S = 15.7 km

Read more about Length of Arc at; https://brainly.com/question/2005046

#SPJ1

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

for such more questions on  weight

https://brainly.com/question/29892643

#SPJ8

Answer:

4%

Step-by-step explanation:

1/25 is equal to 0.04

To convert a decimal to a percent... move the decimal 2 spots to the right

This will give you 4%

Hope this helps!

HOW TO CONVERT 1/25 TO A PERCENTAGE?

To write 1/25 to a percentage, you must remember that 1 equals 100% and that what you must do is multiply the number by 100 and add the symbol% at the end.

\( \bold{1 /25 * 100 = 0.04 * 100 = 4\%}\)

And finally we have:

\( \bold{1/25 \: a \: percentage equals 4\%}\)

1. Multiply all terms by the same valueto eliminate fraction denomitors.

\(\frac{3}{11}\) = \(\frac{x}{77}\)

77 × \(\frac{3}{11}\) = 77 × \(\frac{x}{77}\)

2. Cancled multiple terms that are in the denominator.

77 × \(\frac{3}{11}\) = 77 × \(\frac{x}{77}\)

77 × \(\frac{3}{11}\) = x

3. Multiply the numbers.

77 × \(\frac{3}{11}\) = x

21 = x

Solution.

21 = x

Answer: x=21

Step-by-step explanation:

3          x

__ =  __

11      77

To solve a proportion, cross multiply.

11x= 231

x= 231÷11

x= 21

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Answer:

-25

Step-by-step explanation:

= 2*(2) - 28 - 1

= 4 - 29

= -25

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:

√58 or 7.615773

Step-by-step explanation:

\(\sqrt{(-12-(-9)^2 +(-17-(-10)^2} = \sqrt{(-12+9)^2+(-17+10)^2} = \sqrt{(-3)^2+(-7)^2} = \sqrt{9+49} = \sqrt{58}\)

Answer:

7x-4y=-11

Step-by-step explanation:

Answer:

Neither in K.A

Step-by-step explanation:

Make sure put some choices before you ask we wouldn't know .

Thank me later !

Answer:

The equation of a circle can be represented in the form (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius.

A diameter of a circle is a straight line passing through the center of the circle and has endpoints on the circle.

Given that the equation of the diameter of a circle is x+y-14=0 and 2x-y-4=0, we can find the center of the circle by solving for the intersection of these two lines.

We can find the intersection point of these lines by solving the system of equations using the substitution method:

x+y-14=0 and 2x-y-4=0

x = 14/3, y = 10/3

So the center of the circle is (14/3, 10/3)

Since we know that the point (3,4) lies on the circle, we can use the distance formula to find the radius of the circle.

r = sqrt((x-h)^2 + (y-k)^2)

r = sqrt((3-(14/3))^2 + (4-(10/3))^2) = sqrt(5)

Therefore, the equation of the circle is (x-14/3)^2 + (y-10/3)^2 = 5^2

or (x-14/3)^2 + (y-10/3)^2 = 25

So, the equation of the circle passing through point (3,4) and having equation of its diameter x+y-14=0 and 2x-y-4=0 is (x-14/3)^2 + (y-10/3)^2 = 25

Answer:  The  answer  is  a  25  square  units

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The mathematical sentence can be written as the expression:

x + 3x²

Here we have the mathematical sentence "A number plus 3 times its square"

So, let's say that the number is x.

Then we want to write the sum of x and 3 times the square of x, which is written as x²

Then the expression for this mathematical sentence is:

x + 3x²

Learn more about expressions at:

https://brainly.com/question/1859113

#SPJ1

The continuously compounded interest formula is

where A is the amount (future value), P is the principal (initial value), r is the interest rate and t is the time in years.

In our case, P=15 000, r= 0.0825 and t= 25. By substituting these values into our formula, we get

which gives

Then, the answer is $117,984.14