26
Write the time.
O
10
11
7
12
وانيه

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

The independent variable, as indicated in the name is not influenced by other variables but can predetermine its own self.

So, the independent variable is the water in the 200 gallon aquarium

Now, the dependent variable is the tested variable and is depends on the independent variable, which is the time it takes to drain the 200 gallon aquarium.

Hence,  independent variable is volume of water in the aquarium and dependent variable is time it will take to drain the aquarium.

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Multiply the first equation by 7 and the second equation by 2, and then add.

2f - 5g=-9

-7f + 3g=4

To eliminate any variable , we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is -7

We already have different sign so we make the coefficients same

To make the coefficient same , we multiply the first equation by 7  and second equation by 2

So equation becomes

14f - 35g = -63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = -55

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Answer:

A

Step-by-step explanation:

Edge2022

Answer: y = 6.75x + 6

Step-by-step explanation:

Answer:

y=6.75x+6

Step-by-step explanation:

y=mx+b

we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]

I'm going to choose 2,19.5 and 5,39.75

[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75

now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in

19.5=(6.75)2+b then multiply 6.75 by 2

19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it

6=b so the y-intercept is 6

Answer:

mode

Step-by-step explanation:

The mode of the set is 7, as 7 is the number that occurs the most frequently.

A square is a rectangle with equal lengths on each side. The two squares with the same length side will be lengths scaled copies of one another.

A rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).

As it is known that two squares are always similar to each other which is because all the angles of a square are always 90°. Therefore, any two squares are always similar to each other.

Now, as it is given that the two square have the same length sides. Therefore, the two squares with the same length side will be lengths scaled copies of one another. This is because all the sides are equal and all the angles are equal.

Hence, the two squares with the same length side will be lengths scaled copies of one another.

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The percent of simple interest that the account has will be 7.2%.

From the information, Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072.

The percent of simple interest that the account has will be:

= 1.072 - 1

= 0.072

= 7.2%

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Answer: [tex]-15x^6y^4[/tex]

Step-by-step explanation:

(-3x^2 y)(5x^4 y^3)=

-3x^2 *5x^4 *y*y^3=

-3*5*x^2 *x^4 *y^4=

-15*x^(2+4) *y^4=[tex]-15x^6y^4[/tex]

Answer:

WXZ, ZXW, 1

Step-by-step explanation:

The base is 24.

Let the base be b. we know that b>8

If we added everything, it would look something like this:

66 + 87 + 85 + 48

=132

Adding up the one's digit gives us 26, so we have 26 mod b=2

The only options for b are b = 12 or 24.

If b = 12, the sum of the one's digit would be [tex]22_{12}[/tex] so we could carry the 2 to the tens column. Adding everything up would give us [tex]24_{12}[/tex] the answer is [tex]242_{12}[/tex]

That means the base is 24.

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40 Remainder 1

hope this helps :)

The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁),  7/8(y₂ - y₁) ].

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Let's say the coordinate of m → (x₁,y₁)

j → (x₂ ,y₂)

Now since point c is proportion with 7/8

So,

It will be 7/8 times of difference between of x and y coordinate of points m and j

So,

x = 7/8(x₂ - x₁) and y = 7/8(y₂ - y₁)

Hence "The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁),  7/8(y₂ - y₁) ]".

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Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

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Answer:

60>x>25

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

13x - 20 + 7x = 180

20x -20 = 180

20x = 200

x = 10

13(10) - 20

=110

Answer:

97/8

Step-by-step explanation:

first we multiply 11 x 8 to get 88

then we add the numerator (number on top,9) so we add 88+9 to get 97

now we can write our answer

97/8

it cannot be simplified any more than this.

i hope this helped and if you have any questions just ask!

Answer:

The answers for this question is given below in the explanation section, kindly refer.

Step-by-step explanation:

Find the next 5 terms:

1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.

2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.

3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.

4)  13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.

5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.

6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.

7) => In every next term the arrows rotate clockwise in direction.

T/F:

8) False => 17+19 = 36, which is not a prime number.

9) True

10) True

11) True

12) True

13) True

14) False => ostrich, penguin, etc.

15) True

16) False => (a + b)² = a² + b² + 2ab

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The created by extending one side of a triangle is called: C. an exterior angle.

An exterior angle of a triangle is an angle that is formed by extending any of the sides of a triangle. The angle formed, which is called the exterior angle, has a measure that is equal to the sum of the opposite interior angles of the triangle.

Therefore, the angle shown in the image given that is created by extending one side of a triangle is called: C. an exterior angle.

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Answer:

81

Step-by-step explanation:

81 is a perfect square, and also ends with 1.

Answer:

The absolute value of a number is the distance between the number and zero on a number line. Every number and it opposite are the same distance from zero on the number line.

Answer:its C

Step-by-step explanation:

they x will intercept when you do it right

Answer:

see below

Step-by-step explanation:

1/11=0.0909....

3/11=0.090909...*3 or 0.27272727...

The solution is [tex]\frac{1}{8}[/tex] .

To understand this problem we need to know the concept of surds and indices, powers and exponents.

If we write [tex]x^{2}[/tex] it means that x must be multiplied by itself two times.

But if we write [tex]x^{-2}[/tex] it means [tex]\frac{1}{x^{2} }[/tex].

Which means if an number has negative power then it must be written in the inverse format to make it positive.

Given here is [tex](2^{-1})^{3}[/tex]

⇒[tex](\frac{1}{2}) ^{3}[/tex]

⇒[tex]\frac{1}{8}[/tex] is the required solution of the problem.

This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.

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Answer:

y=(1/3) or y=1/3x

Step-by-step explanation:

Without the parenthesis, your equation can be interpreted as Y = one over 3x

The equation which represents the number of triangles is 1/3 the number of sides is t = (1/3) × s.

Let's denote the number of sides of a polygon as "s" and the number of triangles that can be formed within the polygon as "t."

The equation for the number of triangles being 1/3 the number of sides is:

t = (1/3) × s

This equation states that the number of triangles (t) is equal to one-third of the number of sides (s) in a given polygon.

Hence, the equation which represents the number of triangles is 1/3 the number of sides is t = (1/3) × s.

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Complete question:

Write an equation for the number of triangles is 1/3 the number of sides.

Answer:the graph is not linear

Step-by-step explanation:

Answer:

36/5 as a decimal is 7.2

Step-by-step explanation:

In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".

When we calculated 36 divided by 5, we found that 36/5 in decimal form is:

36 ÷ 5 = 7.2

Therefore, the decimal form of 36/5 is 7.2

Answer:

I think it is none of the choices.

Step-by-step explanation:

Answer:

You have a fixed cost ($20) and a variable cost ($2*number of hours you rent the bike)

Cost = Variable Cost + Fixed Cost

Let y = your Cost and x = the number of hours you rent the bike.  The fixed cost is $20.

y = ($2 per hour)*(x hours) + $20

y = 2x + 20

Answer:

29. 7r^2-5r-2

31. 15x^4-7x^3-2x^2

37. -3k^2-2km+5kn+m^2+mn-2n^2

43. 4m^2-9

5. 16x^4 - 25y^2

Step-by-step explanation:

To solve these you expand the polynomial and use the FOIL method.

The number of years to the nearest hundredth is t = 21 years and 3 months.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

A = $25,600

P = $29,00

r = 10.4 = 0.104

n = 4

[tex]\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}[/tex]

After solving:

t = 21.212 years

Or

t = 21 years and 3 months

Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.

The complete question is:

How long will it take for $2900 to grow to $25,600 at an interest rate of 10.4% if the interest is compounded quarterly round the number of years to the nearest hundredth?

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