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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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Based on the calculations, the length of LM is equal to 1.10 units.

Given the following data:

Scale factor = 0.5.

Length of AB = 2.20 units.

In Mathematics, there are different types of transformation and these include the following:

Since polygon A'B'C'D'E' is dilated by using a scale factor of 0.5 about D', so as to form polygon LMNOP. Thus, the length of LM is given by:

LM = A'B' × scale factor

LM = 2.20 × 0.5

LM = 1.10 units.

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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:

Answer:

4 root 5

Step-by-step explanation:

√80 = √ 16 X √5

√16 = 4

so 4√5

The graph that shows a dilation would show the reduction or enlargement of the original figure (see attachment).

Dilation is defined as a form of transformation where a figure is enlarged or reduced by scale factor. Simply put, a dilation is a process of resizing an original image.

The image containing the referenced graphs is missing. However, the image below shows what a dilation is.

Thus, the graph that shows a dilation would show an enlargement or reduction.

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Answer:

Option 3 and 4 are the most reasonable answers

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

(7.7 * 2) + (9.6 * 6) = 74

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.

The total number of outcomes is 16 if the two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.

A permutation can be defined as the number of ways a set can be arranged, order matters, but in combination, the order does not matter.

Total number of outcomes on the first spinners = 4 (red, green, white, blue)

Total number of outcomes on the second spinners = 4 (red, green, white, blue)

Total number of outcomes = 4×4 = 16

Total outcomes:

RR    RG    RW   RB

GR    GG   GW   GB

WR   WG   WW   WB

BR    BG    BW   BB

Thus, the total number of outcomes is 16 if the two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.

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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

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

An equation is an expression that shows the relationship between two or more variables and numbers.

During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.

Total number of animals = 6 + 1 + 2 + 3 + 6 + 2 = 20 animals

Percentage of animals that were snakes = (2 / 20) * 100% = 10%

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

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An equation is formed of two equal expressions. The equation that can be used to represent the graph is y=50x+300.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) The rate of change, in this case, signifies the number of followers Zora is gaining per hour. It can be found using any two coordinates of the line.

(x₁ , y₁) = (0,300) = coordinate of point 1,

(x₂ , y₂) = (2,400) = coordinate of point 2,

Now, the rate of change or the slope will be equal to,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{400-300}{2-0} = 50[/tex]

Hence, the rate at which Zora will gain followers is 50 followers/hour.

B.) The y-intercept is the value of y when the value of x is 0. Therefore, the y-intercept of the function is 300.

The y-intercept of the graph is 300, which means at the very initial stage Zora will have 300 followers.

C.) The graph is represented by a line, and the general equation of a line is represented by y=mx+c. To know the value of the constant c, substitute the value of the slope and any coordinate in the equation.

[tex]y=mx+c\\300=50(0)+c\\c=300[/tex]

Hence, the equation that can be used to represent the graph is y=50x+300.

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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]

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:

292<298xj=158

Hope this helps!

Answer:

Step-by-step explanation:

6f^2 - 9f + 10 + 2f^2 + f - 3

8f^2 - 8f + 7

Answer:

49 grade 80 minutes

Step-by-step explanation:

[tex]\sqrt[n]{3}[/tex] is 216−−−√3 radical: Yes because of the √

A radical in mathematics can be defined as the square root of a number. It can also be said to be the opposite of exponent.

The symbol of a radical is √ also known as the square root.

Radicals are really important in mathematics as they help us find the nth term of any number.

We can conclude by saying that 216−−−√3 is a  radical, because the radical sign is carried by 3.

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Step-by-step explanation:

$ 1: 2: 3: 4: 5: 6: 7: 7: in ratio

probability on two dice

1, 2, 3, 4, 5, 6, 7, 7.

The probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Let x be the probability of rolling a 1.

Ratios are 1:2:3:4:5:6

Then,

x + 2x + 3x + 4x +5x + 6x = 1

21x = 1

x = 1/21

The possible combinations of two rolls that total 7 are:

{(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ; (6,1)}

The probability P of rolling a total of $7$ on the two dice is equal to the sum of the probabilities of rolling each combination.

[tex]\rm P = \dfrac{1}{21}\cdot\dfrac{6}{21}+\dfrac{2}{21}\cdot\dfrac{5}{21}+\dfrac{3}{21}\cdot\dfrac{4}{21}+\dfrac{4}{21}\cdot\dfrac{3}{21}+\dfrac{5}{21}\cdot\dfrac{2}{21}+\dfrac{6}{21}\cdot\dfrac{1}{21}\\\\=\dfrac{8}{63}[/tex]

Thus, the probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.

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The mathematical expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r is:

" (startfraction 3 over 3 5 endfraction) (2 minus (negative 14)) (negative 14)" (Option A)

A mathematical expression is a statement that contains numbers, variables, functions, etc that are related to one another in a very logical way.

It can also be defined as a mathematical phrase that comprises:

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Answer:

A

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:

a) 2/10

b) 3/20

c) option 2

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:

Answer:

∠1 and ∠8 are alternate exterior angles which is when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are (their measures are) equal.

Simple terms: 1 and 8 are the same angle

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:

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)

Answer:

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

Step-by-step explanation:

Answer:

..................................

Step-by-step explanation:

Answer:

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Step-by-step explanation:

No clear question so the answer is the question