The scatter plot shows the time spent studying, x, and the quiz score, y, for each of 23 students. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 60 minutes studying. Note that you can use the graphing tools to help you approximate the line. (a) Write an approximate equation of the line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 60 minutes studying.

Answer: u can use a website called mixed numbers fractions it’s easy <3

1. 11/2

1. 11/22. - 1/2

1. 11/22. - 1/23. - 47/20

Hope this helps!

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

Answer:

3s+2c=206

s=c+12

Step-by-step explanation:

3.00(smothies,s) + 2.00(cones,c) = $206 (total)

s,smoothies = c,cones + 12

Answer:

Y= 200

Step-by-step explanation:

Just divide 30 by 0.15

Hope that helps!

Answer: y = 30/0.15

Step-by-step explanation:

First, convert 15% to a decimal by dividing by 100 to get 0.15. The word "of" in an equation means multiply, so the equation would be y*0.15 = 30. To isolate the variable you're trying to solve for, divide both sides by 0.15. The 0.15 on the left side of the equation cancels out, leaving you with a final equation of y = 30/0.15.

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer:

A

Step-by-step explanation:

If you see - 12a3bc, - 12a divided by 3 will give you - 4a then just put the rest beside them. So the answer will be A.

Answer:

Step-by-step explanation:

a) As the function is a quadratic you could restrict the domain by taking only values either side of the line x = 3. This means the domain will be

a) 3<x<∞

Or

b) -∞<x<3

b) the graph is attached below.

c) The equation of the inverse of f(x) can be found by switching x and y:

X = (y-3)²

√x = y - 3

y = √x + 3

However this takes in positive and negative values of the square root function. So in order to restrict this, we can take the positive square root only.

Thus y = +√x + 3

Answer:h

Step-by-step explanation:

Answer:

Step-by-step explanation:

a bacuse

The solution is, the water fight started at 2:20 P.M. (14:20).

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

They threw water balloons for 50 minutes. When all the water balloons were gone, they sprayed water with hoses for 45 minutes. The water fight ended at 5:27 P.M. when Cooper's dad showed up with ice cream.

let, the time was x,

so, we get,

x + 50 + 45 = the time (3:55 pm)

now,

First we try to remove the extra minutes from 3:55pm

45 min (the second part of the fight) - 55 (the minutes from 3:55 pm) = -10

Now we have  10 minutes to add and 60 minutes from 3pm

60 (3pm)+ 10 = 70

Now once again we remove the extra minutes

50-70 (3:10pm) = -20

Then we take away the 20 minutes from 3:10pm

3:10 - 50 = 2:20

Hence, The solution is, the water fight started at 2:20 P.M. (14:20).

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The value of expression to represent stickers Niu has left is,

⇒ 24 - 4x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Niu has decorated x cards.

He started with 24 stickers, and he used 4 stickers per card.

Now, Number of used stickers in x cards =  4x

Hence, The value of expression to represent stickers Niu has left is,

⇒ 24 - 4x

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The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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Answer:

6 hours

Step-by-step explanation:

\(\frac{1}{6}\) of Total battery life = \(\frac{1}{6} * 3600 = 600\)milliamps

Assuming the battery takes 100 Milliamps per hour,

Time = Battery Capacity / Current hours

Time = 600 / 100 Mah = 6H

Answer:

220

Step-by-step explanation:

just multiply the amount by 2.

Answer: The seagull is faster

Step-by-step explanation:

An owl travels 8 1/3 miles in 3/4 hour. The miles per hour of the owl would be:

= 8 1/3 ÷ 3/4

= 25/3 ÷ 3/4

= 25/3 × 4/3

= 100/9

= 11 1/9 miles pee hour

A seagull travels 12 1/2 miles in 2/3 an hour. The miles per hour of the seagull would be:

=12 1/2 ÷ 2/3

= 25/2 ÷ 2/3

= 25/2 × 3/2

= 75/4

= 18 3/4 miles per hour

Based on the calculation above, the seagull is faster.

Answer:

11 1/9 miles per hour<---- owls speed

I seagle is faster

Step-by-step explanation:

i just know bc i got it right on iready... :)

Answer:

Step-by-step explanation:x=28

Answer:

$10,0090 dolar

Step-by-step explanation:

hope it's help!

Answer:

c = d/a - b

Hope that helps

Step-by-step explanation:

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The relation between the area (a) and the side length (s) in the table is:

A. a = s²

What is an area?

To see this relationship, we can observe that the areas of the poster boards are the square of their respective side lengths. For example, when the side length is 2 feet, the area is 4 square feet (2²).

Similarly, when the side length is 4 feet, the area is 16 square feet (4²). This pattern holds true for all the side lengths listed in the table. Therefore, we can conclude that the area of each poster board is equal to the square of its side length.

Calculation:

Side Length (s)    |       Area (a)

  1                         |        1

  2                        |        4

  3                        |        9

  4                        |        16

As we can see, the area of each poster board is equal to the square of its side length. Thus, the relation between the area (a) and the side length (s) in the table is a = s².

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Answer:

A

Step-by-step explanation:

\(a = s {}^{2} \\ 1. \: + - \sqrt{a = s} \\ 2. \: s = + - \sqrt{a} \)

Answer:

The tool with 6.5% tax rate is better

C. The two quantities are equal.  We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.

Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:

To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.

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After solving the given numbers with (PEMDAS) 11 - 11 x 11 + 11 = we get the answer of -88.

To solve 11-11x11+11, we need to use the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order of operations, we can simplify the expression as follows:

11 - 11 x 11 + 11

= 11 - 121 + 11 (since multiplication should be done before addition and subtraction)

= -99 + 11

= -88

Therefore, the value of 11-11x11+11 is -88.

In general, when simplifying expressions, it is important to follow the order of operations to ensure that you get the correct answer. Additionally, it is always a good idea to check your work by plugging the answer back into the original expression and making sure that it is correct.

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We can express the integral in polar coordinates:

V = 2∫∫D √(144 + r^2cos^2θ - r^2sin^2θ) r dr dθ

= 2∫∫D √(144 + r^2) r dr dθ

To evaluate the integral V = ∫∫R √(12^2 + 2xy) dA, where R is the region bounded by the rectangle with vertices (1, 0), (0, 1), (3, 2), and (2, 3), we can use the change of variables u = x + y and v = x - y.

The Jacobian determinant of the transformation is |J| = ∂(x, y)/∂(u, v) = 2.

First, let's find the new limits of integration in terms of u and v. We can express the original vertices of the rectangle in terms of u and v:

(1, 0) => u = 1 + 0 = 1, v = 1 - 0 = 1

(0, 1) => u = 0 + 1 = 1, v = 0 - 1 = -1

(3, 2) => u = 3 + 2 = 5, v = 3 - 2 = 1

(2, 3) => u = 2 + 3 = 5, v = 2 - 3 = -1

The new limits of integration for u are from 1 to 5, and for v are from -1 to 1.

Now, we can express the integral in terms of u and v:

V = ∫∫R √(12^2 + 2xy) dA = ∫∫D √(12^2 + 2(u^2 - v^2)/2) * |J| du dv

= 2∫∫D √(144 + u^2 - v^2) du dv

where D is the region in the uv-plane corresponding to the transformed region R.

To evaluate this integral, we need to convert it to polar coordinates. Let u = rcosθ and v = rsinθ. The Jacobian determinant of this transformation is |J| = r.

The limits of integration in the uv-plane become:

u = 1 to 5 => rcosθ = 1 to 5 => r = secθ to 5secθ

v = -1 to 1 => rsinθ = -1 to 1 => r = -cscθ to cscθ

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The lengths of the diagonals are approximately 10.6 cm and 31.8 cm.

To solve this problem, we can use the formula for the area of a rhombus, which is A = (d₁ x d₂)/2, where A is the area, and d₁ and d₂ are the lengths of the diagonals.

We are given that the area of the rhombus is 168 square centimeters, so we can substitute this value into the formula:

=> 168 = (d₁ x d₂)/2.

We are also given that one diagonal is three times as long as the other, so we can express the length of one diagonal in terms of the other: d₁ = 3d₂.

Substituting this expression for d₁ into the formula for the area, we get:

168 = (3d₂xd₂)/2 336 = 3d₂²2 d₂² = 112 d₂ = √(112) = 10.6 (to the nearest tenth of a centimeter)

Using the expression for d₁ in terms of d₂, we can find the length of the other diagonal:

d₁ = 3d₂ = 3(10.6) = 31.8 (to the nearest tenth of a centimeter)

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Answer:

y = 210,000(1.055)^t

Step-by-step explanation:

Initial population: p = 210,000

Annual growth rate: 5.5% = 0.055

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 210,000(1 + 0.055)^t

y = 210,000(1.055)^t

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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