Find the equation of the line.
Use exact number

*PLEASE HELP LAST DAY OF SCHOOL

*50 POINTS PLUS BRAINLIEST

Answer:

C

Step-by-step explanation:

Given

4x² = 64 ( divide both sides by 4 )

x² = 16 ( take the square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

Solutions are x = - 4 and x = 4 → C

The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

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Step-by-step explanation:

I solved it by steps...

I hope you understand...

Answer:

x = 21

Step-by-step explanation:

9/3 = 3

7 x 3 = 21

Answer:

x = 21

9/3 = 3

(3)(7) = 21

And I got the answer from my brain

Step-by-step explanation:

The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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Based on the information given, only statement I can be considered true.

Statement I: In general, families with higher incomes pay more in rent.

The correlation coefficient (r) of 0.60 indicates a positive correlation between family income and the amount of rent they pay. This means that as family income increases, the rent they pay tends to increase as well. Therefore, families with higher incomes generally pay more in rent.

Statement II: On average, families spend 60% of their income on rent.

The correlation coefficient (r) of 0.60 does not provide information about the percentage of income spent on rent. It only shows the strength and direction of the linear relationship between income and rent. Therefore, statement II cannot be inferred from the given correlation coefficient.

Statement III: The regression line passes through 60% of the (income$, rent$) data points.

The correlation coefficient (r) does not indicate the specific proportion of data points that the regression line passes through. It represents the strength and direction of the linear relationship between income and rent, not the distribution of data points on the regression line. Therefore, statement III cannot be inferred from the given correlation coefficient.

In conclusion, only statement I is true based on the given correlation coefficient of 0.60.

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The function given is

The value of the function when x equals to -5.

Thus the value of the function at x =-5 is 647.

Similarly the value of the function when x=2.

Thus the value of the function when x=2 is -4.

Answer:

answers in the explanation.

Step-by-step explanation:

1. x=12

2 x=7

3.x=8

4.x=5

Answer:

80

Step-by-step explanation:

48 ÷ 6 = 8 per hour

8 x 10 hours = 80 dogs

Answer: Steve can train 80 dogs.

Step-by-step explanation:

How many dogs he can train divided by how many hours is: 48/6 = 8.
He is able to train 8 dogs per hour. So: 8 x 10 = 80.

When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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Answer:

C. y=x

Step-by-step explanation:

If you use a graphing calculator and plot the points (-3,5) & (5,-3) and then graph y=x you can see it is the line of reflection.

Also when reflecting over the line y=x, we switch our x and y.

Answer:

y = 3x - 2

3x - y = 2

y = 2(x + 3)

Step-by-step explanation:

y = the larger number

x = the smaller number

A larger number is double the sum of 3 and a smaller number

y = 2(x + 3)

y = 6 + 2x

The larger number is 2 less than 3 times the smaller number.

y = 3x - 2

Make -2 the subject

y - 3x = -2

Make 2 the subject

y = 3x - 2

y - 3x = -2

(y - 3x) * -1 = -2 * -1

-y + 3x = 2

3x - y = 2

The answers:

y = 3x - 2

3x - y = 2

y = 2(x + 3)

Answer: 1/50

Step-by-step explanation:

Step 1: We need to multiply the numerator and denominator by 100 since there are 2 digits after the decimal.

0.02 = (0.02 × 100) / 100

= 2 / 100 [ since 0.02 × 100 = 2 ]

Step 2: Reduce the obtained fraction to the lowest term

Since 2 is the common factor of 2 and 100 so we divide both the numerator and denominator by 2.

2/100 = (2 ÷ 2) / (100 ÷ 2) = 1/50

Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.

The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.

The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.

This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.

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The required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1,  and -7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
What we do is, lets fill the blank space be x,
Now for 1,
[-1] + [-1] + x = 1
-2 + x = 1
x = 1 + 2
x = 3
Similarly, all the blank spaces can be determined as, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1,  and -7.

Thus, the required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1,  and -7.

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If the equilibrium constant (K) < 1 , then, the Gibbs free energy change(ΔG) is positive. So, option D is correct alternative.

The relative concentrations of reactants and products in a chemical reaction are gauged by the equilibrium constant (K), which is the case in this case. Typical chemical reactions are as follows:

aA + bB ⇌ cC + dD

The equilibrium constant is defined as:

\(K = \frac{[C]^c[D]^d }{ [A]^a[B]^b}\)

Where [A], [B], [C], and [D] are the molar concentrations of reactants and products at equilibrium, and a, b, c, and d are the stoichiometric coefficients of the balanced chemical equation.

The Gibbs free energy change (ΔG) is a measure of the amount of energy available to do useful work during a chemical reaction.

The following equation describes the relationship between the equilibrium constant (K) and the change in the Gibbs free energy (ΔG):

ΔG = -RTln(K)

Where R is the gas constant and T is the temperature.

If K < 1, then ln(K) is negative. So, to make the right-hand side of the equation negative, ΔG must be positive.

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240 gallons of a 50% antifreeze solution must be mixed with 80 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

Let's call the amount of 50% antifreeze solution that we want to mix with the 80 gallons of 10% antifreeze "x".

The total volume of the mixture after mixing x gallons of 50% antifreeze solution with 80 gallons of 10% antifreeze solution is given by (x + 80) gallons.

The concentration of antifreeze in the mixture is given by the weighted average of the antifreeze concentrations in the two solutions, where the weight for each solution is proportional to its volume:

(0.5x) + (0.1 * 80) = (0.4 * (x + 80))

Expanding and solving for x, we get:

0.5x + 8 = 0.4x + 32

0.1x = 24

x = 240

Therefore, we need to mix 240 gallons of 50% antifreeze solution with 80 gallons of 10% antifreeze solution to get a mixture that is 40% antifreeze.

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Using the given points, find the slope:

 Slope Equation: m = Δy/Δx

 m = (4 - 0)/(8 -(-8)) ⇒ Solve

 m = 4/16 ⇒ Simplify

 m = 1/4

Using the point-slope equation, solve for the line:

 Point-Slope Equation: y - y1 = m (x - x1)

 Using Point 1 (-8, 0):

 y - 0 = 1/4 (x - (-8))

 y - 0 = 1/4 (x + 8) ⇒ Distribute

 y = 1/4x + 8/4 ⇒ Simplify

 y = 1/4x + 2

Answer: y = 1/4x + 2

Answer:

First finding the slope and the y-intercept. Then we can write the equation in slope-intercept for which is

y = mx+b where m is the slope and b is the y-intercept.

Given two points (0,8) and (-8,-4). (0,8) is the y intercept which is the value of b. Since we have found the y-intercept, To find slope of these two points.

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

m = (-4-8)/(-8-0)

m = (-12)/(-8)

m = 12/8

m = 3/2

So, the equation is y = 3/2(x)+8 and has been fully reduced.

Answer:

3a+2b+4

Step-by-step explanation:

24ab indicates that there is 24 of unit ab which there is not. there is 4+ 3a+2b

Step-by-step explanation:

f(x) = 4x - 7

f(2) = 4(2) - 7

f(2) = 8 - 7 => 1

Answer:

53 cupcakes

Step-by-step explanation:

Take the amount of frosting and divide by the amount needed per cupcake

431/8

53.875

We round down since we cannot frost part of a cupcake

53 cupcakes

Answer:

53 cupcakes

Step-by-step explanation:

He has a total of 431 ounces and each cupcake needs 8 ounces of frosting. Therefore can divide the total amount of frosting (431 ounces) by the amount per cupcake (8 ounces)

total amount/ amount per cupcake

431 ounces/8 ounces

431/8

53.875

0.875, or a fraction/part of a cupcake can’t be frosted, so we should round down to the nearest whole number.

53

He can frost 53 cupcakes.

9514 1404 393

Answer:

  60 meters

Step-by-step explanation:

The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.

The perimeter of square B is 60 meters.

The number of ways to order the first, second and third place finishers is simply the number of permutations of 8 runners taken 3 at a time. This can be calculated using the formula for permutations

The formula for permutations, P(n,r), gives the number of ways to choose r items from a set of n items, where order matters. This formula is calculated as:

P(n,r) = n! / (n-r)!

where n! represents the factorial of n (i.e. n multiplied by n-1 multiplied by n-2, etc. down to 1).

In this problem, n = 8 and r = 3, so the number of permutations is:

P(8,3) = 8! / (8-3)! = 8! / 5! = 40320 / 120 = 336

So there are 336 different arrangements of first, second, and third place finishers in the 100-meter sprint.

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Answer:

50

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = width

x+8 = length

x(x+8)=273

x2 +8x-273=0

(x+21)(x-13)=0

x=-21  x=13

width can not be -21

width = 13 cm

length =21 cm

Answer:

The Length and Width are 21 cm, 13cm.

Step-by-step explanation:

so,

273 cm²   = ( x + 8 ) cm * ( X ) cm

Expanding the equation :

273 = x² + 8x cm => x² + 8x -273 =0

Now we use the Quadratic formula :

x = (-8 ± √(64 + 1092)) / 2    => x = (-8 ± √(1156)) / 2   => x = (-8 ± 34) / 2

Now we have two possibles,

Dimensions cannot be positive so x = 13, x+8 = 21.

Therefore the length, and width are 21 cm and 13 cm respectively.

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Answer: angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

The solid figure to be formed from the net shown is a triangular pyramid.

A solid figure is a three dimensional shape that has length, width and height. Example of solid figures are cube, pyramid, prism, sphere and so on.

A pyramid is a solid figure with polygon base and triangular faces. Each edge of the base is connected to the apex.

A triangular pyramid is a pyramid with triangular base and three triangular lateral faces.

The solid figure to be formed from the net shown is a triangular pyramid.

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Answer:

Difference: c - d

Variable: a

Coefficient: 9

Step-by-step explanation:

Oh, I see what it is now. (Ngl, you should be able to know this)

A variable is something of a placeholder where you can plug in values into an equation.

Difference is when you subtract something.

Coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Answer:

If you know that Angle X and Angle Y are complementary angles, X+Y = 90

Then we translate the sentence "angle x is 8 times larger than angle Y" into mathematical terms.  is means equal, and 8 times means multiplication.  This gives us our second equation

X = 8Y  

We then use the property of substitution to combine the equations into a solvable system.  if X = 8Y and X + Y = 90, we can say that 8Y + Y = 90.  

combining like terms, we have 9Y = 90.  Y then equals 10.  

We then substitute back into the original X = 8Y to get X = 8*10.  X = 80.

The final answer is X = 80 degrees and Y equals 10 degrees

Step-by-step explanation:

Answer:

30

Step-by-step explanation: