Here are two rectangles. the area of the shaded rectangle is 1/4 the area of the large rectangle. work out the value of x

Answer:

y=4x+4

Step-by-step explanation:

using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.

In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. The length of the total plates to be added is 100cm. Refer to the use of polygons.

Step 1

In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. This is already existing on the circuit so it is not part of the plate to be added.

Step 2

Using the plate with the straight line,  the other spaces which are 5 in number will be completed. The total length of plates used will amount to 100cm.

Because the plate is equal in length and height, the total number of plates used is:

20 * 4 = 100cm.

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Answer:

Step-by-step explanation:

[tex]\sqrt{g}[/tex] = 7-w

([tex]\sqrt{g}[/tex] )^2 = (7-w)^2

g = (7-w)^2

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

Answer:

This is proportional since rearranging it would get x/y = 2, which is an example of direct proportionality.

Step-by-step explanation:

Answer:

292<298xj=158

Hope this helps!

Check the picture below.

bear in mind that for a triangle, the height or "altitude" is the perpendicular distance from the top of the triangle to the base.

The number of the grass squares of 1 square foot will be 480.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called as the area of the rectangle.

The total area covered by the grass will be:-

A  =  L  x   W

A  =  24  x  20 = 480 square feet

Number of the grass squares having an area of 1 square foot:-

N   =   Total area / area of one grass square

N   =  480 square feet   /   1 square feet

N   =  480

Therefore the number of the grass squares of 1 square foot will be 480.

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Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Answer: The mode of the data in the line plot is the data with the highest number of marks

The mode of the data is 8

How to determine the mode?

From the line plot, we have the following frequency table:

Number        Frequency

5                       2 marks6                       4 marks.

7                        3 marks

8                        6 marks

9                         2 marks

10                         4 marks

11                         2 marks

The number with the highest mark is 9

Hence, the mode of the data is 8

Step-by-step explanation:

Answer:

the equation will be in the form of:

y = -x + b

To find be take any point on the line. Hence we have (5,1) which is the midpoint where the line meets.

Therefore, substitute (5,1) in the above equation:

1 = -5 + b

b = 6

So the question of the line will be:

y = -x + 6

Most of the first ladies are from New York because 9 of them came from there.

Answer:

D

Step-by-step explanation:

The valid conclusion we reach by interpreting the graph is :

D) Most of the first ladies are from New York.

New York had 9 first ladies, more than 6 each from 2 states, and 3 each from the other 2 states.

Answer:

Step-by-step explanation:

We know that:

We don't know:

Let's count up by tenths:

It suddenly stops at 0.8.

Let's count up by hundredths:

It stops at 0.85.

0.85 is your answer.

Answer:

See below

Step-by-step explanation:

A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.

When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.

Answer:

x(1,2) = -5 ± √61) / (-2)

Step-by-step explanation:

The ABC formula of quadratic equation states

x(1,2) = (-b ± √b^2 - 4ac) / 2a

-x^2 + 5x + 9 = 0

a = -1

b = 5

c = 9

Thus x(1,2) = (-b ± √b^2 - 4ac) / 2a

= (-5 ± √(-5)^2 - 4*(-1)*9) / 2*(-1)

= (-5 ± √25+36) / (-2)

= (-5 ± √61) / (-2)

Reduce the expression, if possible, by cancelling the common factors.

−3 is your answer!

have a nice day! please mark brainliest :)

.

Answer:

49 grade 80 minutes

Step-by-step explanation:

y=-2x

Step-by-step explanation:

it can't be y=2x and y=-½ because it passes by the opposite side of the given graph

Answer:

In standard form: (x+2)² + (y-4)² = 98

Use the distance formula to find radius:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d = \sqrt{(-2 - 5)^2 + (4-(-3))^2}[/tex]

[tex]\rightarrow \sf d = \sqrt{(-7)^2 + (7)^2}[/tex]

[tex]\rightarrow \sf d = 7\sqrt{2}[/tex]

Equation of circle:

The large fishbowl hold 5.6 gallons of water. The volume of the large. fishbowl is denoted by y in the given problem.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the small fishbowl is x

The volume of the large fishbowl is y

From the problem, the large fishbowl holds up to [tex]\rm 2\frac{1}{3}[/tex] times as much water as the small fishbowl.

[tex]\rm y = 2\frac{1}{3} x\\\\\ x= 2\frac{2}{5} =2.4\\\\ y= 2.333\times 2.4 \\\\\ y=5.6 \ gallon[/tex]

Hence, the large fishbowl hold 5.6 gallons of water.

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When the remainder of the polynomial is 0, it is a factor and when it is not zero, then it is not a factor.

A polynomial is an algebraic equation with at least the power of its  being 2.

When the power of the variable is 2, it is called a quadratic equation.

Analysis:

If [tex]x^{3}[/tex] + 4[tex]x^{2}[/tex] -12x + 24 is divided by x -3,  quotient is [tex]x^{2}[/tex]

remainder 7[tex]x^{2}[/tex]-12x+24

7[tex]x^{2}[/tex]-12x+24 divided by x-3, quotient is 7x, remainder 10x + 24

10x+24 divided by x-3, quotient is 10, remainder is 54

In conclusion, since it has a non zero remainder, then x - 3 is not a factor of the polynomial.

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Answer:

Increases slowly, increases quickly

Step-by-step explanation:

The first part of the graph is a slope that's not very steep, but in a positive direction. That means it's increasing slowly. The second segment has a much steeper slope, and it's going upwards, meaning it is increasing quickly.

I hope this helped!

Answer:

Step-by-step explanation:

Answer:

You can choose classes of amplitude 5 , it may give you a better representation of the data :

Step-by-step explanation:

Reason:

The first peak is at x = 0. The next peak over is at x = 1. The difference is 1-0 = 1 which is the period.

The period is the amount of time needed to repeat the cycle.

The first peak occurs at x = 0, and the next peak occurs at x = 1. The difference between these two points is  1, which represents the period of the function.

The period of a function can be determined by finding the difference between two consecutive peaks or troughs.

To determine the period step by step, we start by identifying the first peak or trough of the function. In this case, it is x = 0.

Then, check for the next peak or trough, which is x = 1.

The difference between these two points gives  the period, which is 1 unit of time.

The period represents the length of time required for the function to complete one full cycle and repeat itself. It is an important concept in understanding the periodic behavior of functions.

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Answer:

You can see your total points on your dashboard. You can see points for individual topics on the Topic Explorer. After answering each question you will see how your points have changed.

Step-by-step explanation:

Answer:

   32. 40%

   33. 15%

   34. 1/5

   35. 1/4

Step-by-step explanation:

Question 32

Question 33

Question 34

Question 35

Answer:

32.  40%

33.  15%

34.  1/5

35.  1/4

Step-by-step explanation:

Given:

⇒ Total poultry = 27 + 72 + 45 + 36 = 180

[tex]\sf Percentage = \dfrac{Part}{Whole}\times 100[/tex]

[tex]\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%[/tex]

[tex]\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%[/tex]

[tex]\sf Fraction= \dfrac{Part}{Whole}[/tex]

[tex]\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}[/tex]

[tex]\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}[/tex]

Answer:

n-p for the first, p-n for the second

Step-by-step explanation: