1
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Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

Answer:

equation of the line is

10x-y=19

Step-by-step explanation:

Given:

(2,1) parallel to 10x-y=2

we have to find the slope

10x-y=

=>y=1x-2

Therefore slope of the line is

m=10

Now, equation of the slope m passing through a point (x1, y1)

is y-y1=m(x-x1)

Here the point is (2,1) and slope m=10.

=>equation of the line is:

 y-1=10(x-2)

 y-1=10x-20

 20-1=10x-y

19=10x-

=>10x-y=19

Hence the equation of the line

is 10x-y=19.

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

10,000

Step-by-step explanation:

pls mark me as brilliant

Hi

Let's call X  the amount in the beginning.  

we  have X*1.03^6 = 1819.77

                X =  1819.77 /  1.03^6

                X ≈ 1524.03

The area of the composite figure is 81 yd². Option D

The composite figure is made up of a rectangle, a triangle and a trapezoid

The formula for the area of a rectangle is expressed as;

Area = length × width

Substitute the values

Area = 7(6)

Multiply the values

Area = 42 yd²

Area of the triangle = 1/2 base ×height

Area of the triangle = 1/2 × 6 ×5 = 30/2 = 15yd²

Area of the trapezoid = a+b/2 h

Substitute the values

Area = 7 + 9/2 (3) = 16/2(3) = 8(3) = 24yd²

Total area = 24 + 15 + 42 = 81 yd²

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The area of the composite figure is 81 cm²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Any figure that we can break and form more than one basic shape from is called a composite figure.

The figure consist of two trapezoid

Area of trapezoid 1 = 1/2( a+b) h

= 1/2 ( 12 + 7) 6

= 1/2 × 19 × 6

= 19 × 3

= 57cm²

area of trapezoid 2

= 1/2(a+b) h

= 1/2 ( 7+9) 3

= 1/2 × 16 × 3

= 8 × 3

= 24 cm²

Therefore the area of the composite figure

= 57 +24 = 81 cm²

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Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

\(y=\frac{x^2}{100}+2500\)

Step-by-step explanation:

Given that the satellite is in the shape of parabola and will be positioned above the ground such that its focus is 50 ft, above ground.

let the point at the ground be (0,0) and focus (0,50). Thus, The base is at equal distance from the ground and focus that the vertex is at

(h,k) =(0,25).

Obtain the equation that describes the equation of the satellite as,

\((x-h)^2 =4a(y-k)\\

\Rightarrow (x-0)^2=4(25)(y-25)\\

\Rightarrow x^2=100(y-25)\\

\Rightarrow x^2 =100y-2500\\

\Rightarrow y=\frac{x^2}{100}+2500\)

Thus, the equation of satellite is  \(y=\frac{x^2}{100}+2500\)

Answer:

(0, 25); y = one over one hundred x2 + 25

Step-by-step explanation:

If your on question 7 of (04.04 MC)

It should be the third option. (C)

Answer:

Multiply by 4, then add 2

Step-by-step explanation:

1*4 = 4

4 + 2 = 6

6*4 = 24

24 + 2 = 26

and so on...

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

-6 pick mine as brainlest

Step-by-step explanation:

Answer:

If we can make it by multiplying other whole numbers it is a Composite Number. 2 is Prime, 3 is Prime, 4 is Composite (=2×2),

Step-by-step explanation:

Step-by-step explanation:

a

the study is experimental as we do not just observe students performance. 2 techniques were also randomly assigned. there is control over teaching techniques and performance is also observed.

b.

these are the 3 factors: high school, instructions type, scores.

high school has 2 levels. level 1, is 3 high school. level 2: each high school has 4 sections and these 4 have 24 students.

instructions type: 1 level divided into standard and computer based.

scores: 0 ( no level)

c.

high school has between subject combination since there are 3 schools and 4 sections.

instructions type has between too. since there are two different types.

we have 24 students in each section which are within subjects.

d.

score on test is dependent variable

e.

student is basic experimental unit.

Answer:

Step-by-step explanation:

f(x) = x^2

reflect along the x-axis

g(x) = -x^2

expand vertilcally by a factor of 1/3

g(x) = (-1/3) x^2

move horizontally 4 units to the left

g(x) = (-1/3) (x+4)^2

hope this helps

Answer:

B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.

Step-by-step explanation:

The \(\frac{-1}{3}\) is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in \((x+4)^2\) made the function on the graph shift 4 units to the left.

This makes the correct answer be "B."

Step-by-step explanation:

-203+132=-71

1553-(-203)=1756

Answer:

18.

Step-by-step explanation:

We know that the formula to find the height of a trapezoid is: ((a+b)/2)*h.

Using this, we'll get: 18, which is your answer. You can plug in the numbers if you want to confirm this.

Please give brainliest, thank you :)

The probability of getting red balls is 0.68.

Given : Urn 1 contains 5 red balls and 3 black balls. Urn 2 contains 3 red balls and 1 black ball. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn.

To find : The probability it will be red ?

Total urn = 3

1. If an urn is selected at random then the probability is

P(U) = 1/3

2. In urn 1 - 5 red balls + 3 black balls

Probability of getting red ball from urn :

1 - P(R₁) = 5/8

3. In urn 2 - 3 red balls + 1 black balls

Probability of getting red ball from urn :

2 - P(R₂) = 3/4

4. In urn 3 - 4 red balls + 2 black balls

Probability of getting red ball from urn :

3 - P(R₃) = 4/6

Choosing red ball from urn is

   P(R) = P(R₁) + P(R₂) +P(R₃)

⇒ P(R) = 5/8 + 3/4 + 4/6

⇒ P(R) = \(\frac{15 + 18 + 16}{24}\)

⇒ P(R) = 49/24

The probability of getting red balls is

   P = P(U) + P(R)

⇒ P = 1/3 × 49/24

⇒ P = 49/72

⇒ P = 0.68

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Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Given:

Some boxes are fully colored.

Each fully colored ten block represents 1 whole.

The number of colored boxes will be divided into 11 equal part.

To find:

The number of squares need to be colored on each of the 10 blocks.

Step-by-step explanation:

From the given figure, it is clear that,

Number of colored box = 55

The number of colored box will be divided into 11.

\(\dfrac{55}{11}=5\)

Therefore, 5 squares need to be colored on each of the 10 blocks.

The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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Answer:

i think you have a picture of the jar which have the marble but i am unable to watch that and then i got the full question from somewhere

Step-by-step explanation:

total no. of marbles = 20

red marbles = 7

green marbles = 10

probability of red marbles = 7/20

probability of green = 10/20

Answer: Area of the floor or ceiling: Multiply the length by the width (10 feet x 12 ... feet (10 feet wide x 8 feet high) and the other is 96 square feet (12 feet x 8 feet). ... divide the total square footage of the floor by 9 (120 square feet / 9 ... To convert an area from square feet into square inches, simply multiply by 144.

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

\( = 297 - 493 \\ = 196 \\ =19 6 + 196 \\ = 392 \\ \\ this \: is \: ur \: answer \: as \: weigh \: a \: is \: greater \: then \: weigh \: \: b.\)

As weigh A is greater then weigh B so the Total weigh of A and B is 493 then

weigh B is :196

weigh A is : 392

please mark this answer as a brainliest answer pls.

Answer:

\(Max\ Profit=300units\)

Step-by-step explanation:

From the question we are told that:

\(C(x)=0.05x^2+10x^2+1100\)

\(R(x)=4.6x-0.01x^2\)

Generally the equation for Profit is  is mathematically given by

\(P(x)=R(x)-C(x)\)

\(P(x)=(4.6x-0.01x^2)-(0.05x^2+10x^2+1100\)

\(P(x)=36x-0.06x^2-1100\)

Differentiate P(x) we have

\(P'(x)=36-2(0.06)x\)

Equating to 0

\(P'(x)=0\)

\(36-2(0.06)x=0\)

\(x=300units\)

Second order differentiation, we have

\(P''(x)=-0.12\)

Therefore

This implies that

\(P''(300)<0\)

Hence, Maximum Profit is actualized at

\(Max\ Profit=300units\)

Answer:

{x:x is a natural number less than 6}

Step-by-step explanation:

Set builder is a type of set where we have to represent any value inside a set

by using the variable x, v, b, a, c etc.

Eg A={1,2,3,4}

For eg {a: a is a natural number less than 5}