Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.

Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?

Answer:

2x^2 -x -10 is the answer as a product

3x-3 as a sum

Step-by-step explanation:

Assuming (2x-5)(x+2)=0

Let's distribute.

(2x^2+4x)(-5x-10)=0

Then combine like terms

2x^2 -x -10 is the answer as a product

3x-3 as a sum

Answer:

Option B is tge right answer.

3.07/10⁴= 0.000307

Answer:

a. 0.00307

Step-by-step explanation:

The probability that the sum is not 4 and the sum is greater than 5 will be 11/12 and 13/18, respectively.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

When two six-sided dice are rolled, there are 36 possible outcomes.

A. The probability that the sum is not 4 is given as,

Non- Favorable event = 3 {(1, 3), (2, 2), (3, 1)}

Then the probability is given as,

P = 1 - 3 / 36

P = 33 / 36

P = 11/12

B. The sum is greater than 5. Then the non-favorable event is given as,

Non - favorable event = 10 {(1,1),(1,2),(1,3),(1,4),(2,1),(2,2), (2,3),(3,1),(3,2),(4,1)}

Then the probability is given as,

P = 1 - 10 / 36

P = 26 / 36

P = 13 / 18

The probability that the sum is not 4 and the sum is greater than 5 will be 11/12 and 13/18, respectively.

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The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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The height of the cone is 27 meters when the radius of the cone is 55 meters and the volume of the cone is 733 cubic meters.

Given that,

Cones grow in size at constant rates of 9 meters per second for the radius and 1631 cubic meters per second for the volume.

We have to find what is the rate of change of the height at the instant the cone's radius is 9 meters and its capacity is 733 cubic meters when the formula V= 1/3r²h can be used to calculate a cone's volume. Include three decimal places in your response.

We know that,

So,

The Volume of the cone formula is  V= 1/3r²h

So,

Here r is the radius of the cone that is 9 meters.

h is the height of the cone

V is the volume of the cone that is 733

733=1/3(9)²h

733=1/3×81×h

733=27×h

h=733/27

h=27.14

Therefore, The height of the cone is 27 meters when the radius of the cone is 55 meters and the volume of the cone is 733 cubic meters.

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They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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Answer:

40

Step-by-step explanation:

4(sqrt(147/3)+3)

=4(sqrt(49)+3)

=4(7+3)

=4(10)

=40

Answer:  Do letter D

Step-by-step explanation:

6-4n = -4 times (n-1)

6-4n = -4n + 1   (because the negatives in 4 and 1 cancel out and make it positive 4 because 1 times 4 is 4)

6-4n = -4n+4

  +4     +4

Which gives you

6=4

Answer: No solution

The most important component when reporting a numerical scientific result is the unit.

This is further explained below.

Generally, Our work in numerical and scientific computing includes the creation, analysis, and implementation of computer algorithms with the purpose of finding mathematical solutions to issues originating in engineering and the sciences.

In conclusion, When presenting a numerical result from scientific research, the unit is the single most crucial component.

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Answer:

5 I think I'm pretty sure

The number of teenagers that liked Indian only is 11 students.

Counting students who liked Chinese and pizza

There were 35 teenagers altogether.

Since all the students who liked pizza also liked Chinese, and no student liked all three, we can just think about the remaining 25 students.

Of these, 14 liked Chinese and 16 liked Indian.

Since each student liked at least one of these, and there are a total of 30 'likes', then 5 students must like both Indian and Chinese.

This leaves 11 students who liked Indian only.

Thus, we conclude that the number of teenagers that liked Indian only is 11 students.

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It can be inferred that Broadway shows with higher ticket prices tend to be more popular and offer more performances.

Now,

Since,  More popular shows have higher ticket prices and offer more performances.

Hence, Based on the information given, the best explanation for the relationship between ticket prices and the number of performances is that more popular shows tend to have higher ticket prices and offer more performances.

This is supported by the strong, positive relationship indicated by the value of r being 0.763, which suggests that as ticket prices increase, the number of performances tends to increase as well.

Therefore, it can be inferred that Broadway shows with higher ticket prices tend to be more popular and offer more performances.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Based on the calculations, the midpoint between 4.38 and 4.37 is equal to 4.375.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2).

Therefore, the midpoint between 4.38 and 4.37 is given by:

Midpoint = (4.38 + 4.37)/2

Midpoint = 8.75/2

Midpoint = 4.375.

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Answer:

measure of what?

Step-by-step explanation:

Real number \($x^2+y^2= \boxed{158}$\)

Let's start by using the formulas for arithmetic mean and geometric mean:

Arithmetic mean:

\($\frac{x+y}{2}=7 \Rightarrow x+y=14$\)

Geometric mean:

\($\sqrt{xy}=\sqrt{19} \Rightarrow xy=19$\)

Now, we can square the equation for the arithmetic mean:

\($(x+y)^2=14^2 \Rightarrow x^2+2xy+y^2=196$\)

Substituting\($xy=19$\), we get:

\($x^2+y^2+2(19)=196$\)

Simplifying:

\($x^2+y^2= \boxed{158}$\)

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The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

x = 1/3

Step-by-step explanation:

•3x - 1 = 1 - 3x *group like terms*

•3x + 3x = 1 + 1 *remember whenever you transpors the sign changes*

•6x/6 = 2/6

• x = 1/3

Answer:

Step-by-step explanation:

99x99= 9801

Answer: 9,801

Step-by-step explanation: first you write the numbers down like this

99

x99

then you multiply the numbers

1/2

The maximum value of 3√xyz can be found by maximizing the expression when x+y+z=1.

Let x=a, y=b and z=1-a-b. Substitute these values into the expression to get: 3√(ab(1-a-b))

Take the derivative of the expression with respect to a and b, and set each equal to 0:

da/da: 3√ab(1-a-b)+ab(-1)=0

db/db: 3√ab(1-a-b)+ab(-1)=0

Solve each equation to get a=b=1/2, so the maximum value of 3√xyz when x+y+z=1 is the maximum value of 3√(1/8), which is 1/2. Therefore, the maximum value of 3√xyz when x+y+z=1 is 1/2.

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Based on the information, it can be inferred that the volume of the figure is 6,786 ft³.

To calculate the volume of the figure we must perform the following procedure:

Find the volume of the lower part, the cubic part. For this we must multiply all the sides as shown below:

Then we must calculate the volume of the upper part, for this we must perform the following procedure:

we calculate as if it were a completely square or cubic figure and then we divide it in two.

Finally we must add both values to find the total volume

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Answer:

\( 5^{-3} = \dfrac{1}{125} \)

Step-by-step explanation:

Rule of negative exponents:

\( a^{-n} = \dfrac{1}{a^n} \)

This problem:

\( 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} \)

Answer:

\(\boxed{\frac{1}{125}}\)

Step-by-step explanation:

\(5^{-3}\)

Apply rule:

\(\displaystyle a^{-b}=\frac{1}{a^b}\)

\(\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}\)

Four to the fifth power (or to the power of 5)

Answer: Four to the Fifth Power

Step-by-step explanation: A verbal expression is when you give a word to word written response to the expression or equation.

Answer:

-3/7

Step-by-step explanation:

you need to find change in y over change in x which is -3/7

Answer:

-3/7

Step-by-step explanation:

Because I passed with 100%

Answer:

14-23

Step-by-step explanation:

12

For the given rectangle, the width at the instant the width is decreasing at the rate of 0.5 meters per second is 5 m and the rate of change of diagonal is 3.59m/s.

What is meant by rate of change?

How quickly something changes over time is referred to as its rate of change. So, it is not the size of the individual changes themselves but rather their rate of acceleration or slowdown that matters. Either a positive or negative rate of change is possible. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

Given,

  The area of rectangle = 200 m²

   The length l is increasing at a rate of 4m/s.

If t is the time, then l = 4t

a) We have to find the width w at the instant it is decreasing at the rate of 0.5m/s.

 We know area = l*w

   200 = l*w

200 = 4t * w

w = 200/4t = 50 t⁻¹

dw/dt = -50t⁻²

dw/dt = -0.5

So,

-0.5 = -50 t⁻²

t² = -50 / -0.5 = 100

t = 10

Then l = 4*10 = 40m

 w = 200/l = 200/40 = 5m

b) when w = 10m

   area = l * w = 4t * w

    200 = 4t * 10

t = 5s

diagonal k² = l² + w² = 16t² + 100

k = √(16t² + 100)

Differentiating,

dk/dt = \(\frac{32t}{2\sqrt{16t^2 + 100} }\)

when t = 5s

dk/dt = 160/ 44.7 = 3.59 m/s

Therefore for the given rectangle, the width at the instant the width is decreasing at the rate of 0.5 meters per second is 5 m and the rate of change of diagonal is 3.59m/s.

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