Determining Slope and y-Intercept A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past (negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0). When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x

Answer:

she gave away 6 cupcakes

Step-by-step explanation:

3/7 is the same as 6/14.

if she gave away 6/14 cupcakes, she gave away 6 cupcakes

Answer: a. d. f.

Step-by-step explanation:

Brett needs a complete of  [tex]322 \frac{5}{6} ^{2}[/tex]  inches of construction paper for his project.

The area of a rectangle is calculated through multiplying its length by its width. consequently, to discover the entire amount of square inches of construction paper Brett needs for his project, we want to calculate the area of each rectangle after which add them collectively.

The area of the primary rectangle is:

16 inches × 12 1/4 inches = 196 square inches

The area of 2nd rectangle is:

10 1/3 inches × 10 1/4 inches = (31/3) inches × (41/4) inches = 126 5/6 square inches

To add those areas collectively, we need to convert 2nd area to a mixed number:

126 5/6 square inches = 126 square inches + 5/6 square inches

Now we can add the 2 areas collectively:

196 square inches + 126 square inches + 5/6 square inches = 322 5/6 square inches

Therefore, Brett needs a complete of  [tex]322 \frac{5}{6}^{2}[/tex] inches of construction paper for his project.

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The measure of the arc length AB is [tex]\frac{16\pi }{15}[/tex] centimeters.

An arc length is simply the distance between two points along a section of a curve.

The arc length is expressed as:

s = 2πr × (θ/360°)

Where s is the arc length, r is the radius, θ is the angle and π is constant pi.

Given that:

Plug the values into the above formula

s = 2πr × (θ/360°)

s = 2 × π × 3cm × ( 64°/360°)

[tex]s = \frac{16\pi }{15} cm[/tex]

Therefore, the arc length is [tex]\frac{16\pi }{15}[/tex] cm.

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The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

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Answer:

Value-Added Tax

Step-by-step explanation:

Value-added tax (VAT) is a consumption tax on goods and services that is levied at each stage of the supply chain where value is added, from initial production to the point of sale.

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

The missing angle C of the given triangle using law of cosine is: 62.1°

The Law of Cosines is defined as a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them.

Numerically, the Law of Cosines can be communicated as:

c² = a² + b² - 2abcos(C),

where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.

Thus:

90² = 55² + 50² - 2(55 * 50)cos(C),

2575 = 5500 cos C

2575/5500 = cos C

cos C = 0.4682

C = cos⁻¹0.4682

C = 62.1°

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Answer: The difference in temperatures was 19°F.

Step-by-step explanation:

Answer:

19F

Step-by-step explanation:

Answer:

80 cm³

Step-by-step explanation:

Volume = w x l x h = width x length x height

You already know the area of the base:  w x l = 8 cm², so the volume is:

V = 8 cm² x 10 cm = 80 cm³

The sum of 3√5 and 4√25 is an irrational number.

First, simplify the expressions inside the square roots:

3√5 = 3√(5×1) = 3√5

4√25 = 4√(25×1) = 4×5 = 20

Now, we add them together:

3√5 + 4√25 = 3√5 + 20

This is the simplest form since 20 is already a rational number and we cannot simplify the square root of 5 any further.

To determine whether the result is rational or irrational.

Since 3√5 is irrational and cannot be simplified any further, the expression as a whole is also irrational.

Therefore, the sum of 3√5 and 4√25 is an irrational number.

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Both lines will be solid lines and the intersection of the point will be at (1/3, 1).

Given that:

y ≥ −3x + 2

y ≥ 3x

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The region above the line y ≥ −3x + 2 is considered.

The region above the line y ≥ 3x is considered.

And both lines will be solid lines and the intersection of the point will be at (1/3, 1).

The graph is given below.

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Step-by-step explanation:

(20 - m) + 3

that's it. there is not more to it.

The algebra expression can be expressed as: 3 + (20 - m)

Algebraic word problems are defined as questions that require translating sentences to equations, and then solving those equations. The equations we need to write will only involve basic arithmetic operations. and a single variable. Normally, the variable represents an unknown quantity in a real-life scenario.

We are told that 3 more than the difference of 20 and a number m.

This can be expressed as:

3 + (20 - m)

That is the literal expression of the algebra word problem.

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The number of players  who included red and purple as their favorite colors is 0.

option A.

The number of people who included red and purple as their favorite colors are calculated as follows;

We are going to determine this number based on the given Venn diagram.

Check the intersection of red and purple, you will notice it is empty, so there is volleyball team member who included red and purple as their favorite colors.

So the answer is zero (0) since the intersection or connection point between red and purple is empty.

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The vertex of the parallelogram is (5, 13)

We know that in a parallelogram the opposite sides are equal

AB=√(-3-4)²+(-6+3)²

=√49+9

=√58 units

BC=√(6-4)²+(2+3)²

=√4+25

=√29 units

AD=√(-3-x)²+(-6-y)²

AD=√58 units

√58 units=√(-3-x)²+(-6-y)²

58 units=(-3-x)²+(-6-y)²

Now CD=√(6-x)²+(2-y)²

29 units=(6-x)²+(2-y)²

x=5 and y=13 satisfies the equation

Hence, the vertex of the parallelogram is (5, 13)

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187, 500 ml are needed to prepare 750 mg from 1:250.

We have to find amount in ml to prepare 750 mg from 1:250.

let the amount needed in ml be x.

Using proportion

1/750 = 250 / x

x= 750 . 250

x= 187, 500 ml

Thus, to prepare 750 mg 187,500 ml is needed.

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The statements about the attached daily temperature data that are true include the following:

A. the average temperature was below 90°F on less than 75% of the days.

C. the average temperature was below 75°F on less than 25% of the days.

In Mathematics and Statistics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the given box-and-whisker plot for the daily temperature data, the five-number summary for the given data set include the following:

Minimum (Min) = 65.

First quartile (Q₁) = 70.

Median (Med) = 75.

Third quartile (Q₃) = 85.

Maximum (Max) = 90.

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Answer:      

    |

    |  3/4 kg    

    |     x          

    |              

    |     x          

    |           x    

    |     x          

    |  x              

    |        x        

    |     x          

    |_________

       1 kg 1 1/2 kg 2 kg 2 1/2 kg

Two students brought 3/4 kg of soil.

Four students brought less than 1 1/2 kg of soil (the ones who brought 3/4 kg and the one who brought 1 kg).

Eight students brought 1 kg or more of soil.

Two fewer students brought 1 kg than 2 kg (two students brought 1 kg and four students brought 2 kg).

Two students brought more than 1 1/2 kg but less than 2 1/2 kg (the ones who brought 2 kg).

The total amount of soil brought by all the students is:

Copy code

1 1/2 kg + 3/4 kg + 1 1/2 kg + 1 kg + 2 kg + 3/4 kg + 2 kg + 2 kg + 2 kg + 2 1/2 kg + 3/4 kg

= 19 3/4 kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is timed by 1 1/2kg

According to the information, the elasticity is 0.619, suggests that the demand is relatively insensitive to price changes.

To evaluate the elasticity at $p=2$, we need to use the formula for price elasticity of demand:

E = (dQ/Q) / (dP/P)

where:

E = price elasticity of demand

dQ = change in quantity demanded

Q = quantity demanded

dP = change in price

P = price

We are given the equation for the demand function:

x = 15000 - 3535√p

So, the quantity demanded at price $p$ is $Q = x(p) = 15000 - 3535\sqrt{p}$.

Taking the derivative of Q with respect to p:

dQ/dp = -3535/(2√p)

Now we can calculate the elasticity at $p=2$:

Q = 15000 - 3535√2

dQ/dp = -3535/(2√2)

P = 2

dP = 0

E = (dQ/Q) / (dP/P)

E = (-3535/(2√2)) / [(15000 - 3535√2)/2]

E ≈ -0.619

According to the above, the elasticity is 0.619, suggests that the demand is relatively insensitive to price changes.

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The equivalent expression for 8y + 12 + 2y + 8 will be 10y + 20.

The number of problems that she get wrong is 4.

The days that Jared work to make 20 bird houses is 15 days.

The equivalent expression for 8y + 12 + 2y + 8 will be:

= 8y + 12 + 2y + 8

= 10y + 20

The number of problems that she get wrong is:

= (1 - 84%) × 25

= 0.16 × 25

= 4.

The days that Jared work to make 20 bird houses is:

= 3/4 × 20

= 15 days.

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Write an equivalent expression for 8y + 12 + 2y + 8

Maria’s math test had 25 questions. She got 84% correct. How many problems did she get wrong?

Jared made 4 bird houses in 3 days. How many days will Jared work to make 20 bird houses?

The set that could not represent the side of a right triangle are {27, 36, 46}.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be found using Pythagoras's theorem.

Therefore, using Pythagoras's theorem,

c² = a² + b²

where

Therefore, the hypotenuse is the longest side of the right angle triangle.

27² + 36² ≠ 46²

729 + 1296 ≠ 2116

2025 ≠ 2116

Hence, the sides that can't form a right triangle is {27, 36, 46}

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An inequality to represent the domain of the situation: 0 ≤ x ≤ 6

An inequality to represent the range of the situation: 4 ≤ y ≤ 24

If the equation of the function is [tex]c(x) = n(1.35)^x[/tex], the value of n is: 4.

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this logarithmic function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [0, 6] or 0 ≤ x ≤ 6.

Range = [4, 24] or 4 ≤ y ≤ 24.

Next, we would determine the value of n by using the y-intercept (0, 4);

[tex]c(x) = n(1.35)^x\\\\4=n(1.35)^0[/tex]

n = 4.

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Answer:

-------------------------

Each question can be answered either true or false, giving two possible choices for each of the 8 questions.

Therefore, the total number of ways to answer the questions is the product of the number of choices for each question, which is:

a) The principal of the account is given as follows: 1238.27 euros.

b) The interest rate of the account is given as follows: 4.3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:

r = 1569.4/1504.5 - 1

r = 1.0431 - 1

r = 0.043

r = 4.3%.

After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:

1504.5 = P(1 + 0.043 x 5)

P = 1504.5/(1 + 0.043 x 5)

P = 1238.27 euros.

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The equation of the line for the given points is y= (1/2)x - 3.

An equation of a line can be written in slope-intercept form, which is:

y = mx + b

where:

y and x are the coordinates of any point on the line.

m is the slope of the line (the rate at which y changes with respect to x).

b is the y-intercept of the line (the y-coordinate of the point where the line intersects the y-axis).

The slope of the line is calculated as,

m = ( y₂ -y₁) / (x₂ - x₁)

m = ( -2+1) / (2-4)

m = 1/2

The y-intercept is calculated as,

y = mx + c

-1 = (1/2)x 4 + c

c = -3

The equation of the line will be,

y = mx + c

y = (1/2)x - 3

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Answer: Y = 6.5

Step-by-step explanation: