elliot made a table and a graph for the equation y = 7x. Correct answer gets brainliest

The point P( x, y ) is equal to ( -5/13, 12/13 )

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are Given that p( x, y ) is on the unit circle,

The radius of the circle must be 1

The equation x² + y² = r²

x = 12/13 and r = 1

Therefore,

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

Since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

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Yοu shοuld invest $120,000 in Fund A and $130,000 in Fund B tο prοduce an annual interest incοme οf $6,000.

Linear equatiοns are mathematical expressiοns that represent a straight line when plοtted οn a graph. They are used tο describe relatiοnships between variables that have a cοnstant rate οf change. A linear equatiοn is typically written in the fοrm y = mx + b, where y is the dependent variable, x is the independent variable, m is the slοpe οf the line, and b is the y-intercept.

The slοpe οf the line describes hοw much the dependent variable changes fοr a given change in the independent variable. The y-intercept is the pοint at which the line intersects the y-axis.

Accοrding tο the questiοn:

Tο determine hοw much mοney yοu shοuld invest in each fund, yοu can set up the fοllοwing system οf equatiοns:

Let x be the amοunt invested in Fund A and y be the amοunt invested in Fund B.

x + y = $250,000 (tοtal amοunt invested)

0.012x + 0.062y = $6,000 (annual interest incοme target)

Sοlving fοr x and y, yοu get:

x = $120,000 invested in Fund A

y = $130,000 invested in Fund B

Therefοre, yοu shοuld invest $120,000 in Fund A and $130,000 in Fund B tο prοduce an annual interest incοme οf $6,000.

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Answer:

Step-by-step explanation:

Here is a tree diagram to illustrate the sample space of possible outcomes for drawing two bills out of the bag without replacement:

     |-------$5----$5

$20---|

     |-------$5----$10

     |-------$5----$20

$10---|

     |-------$10---$5

     |-------$10---$20

$5----|

     |-------$20---$5

     |-------$20---$10

$5----|

     |-------$5----$20

The first branch of the tree shows the possible outcomes when the first bill drawn is a $20. The second branch shows the possible outcomes when the first bill drawn is a $10. The third branch shows the possible outcomes when the first bill drawn is a $5. For each branch, the second draw shows the remaining bills in the bag, without replacement. Each endpoint of the tree represents a specific outcome of drawing two bills out of the bag without replacement.

Answer: u should give MATHCAOF2023 brainliest

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

The two angles are complementary angles which add up to 90°

Therefore
(7n - 3) + 37 = 90

7n - 3 + 37 = 90

7n + 34 = 90

7n = 90 - 34

7n = 56

n = 56/7
  = 8

Therefore n = 8

Answer: n= 8°

Step-by-step explanation:

Given: We can see in the diagram that we have Right angle , In this Perpendicular diagram , we have two angle ;

Let , a= 37°

        b= (7n-3)°

To Find::  Value of n =?

Solution: It is clear from the diagram that

               The total angle of the Diagram is 90° ,

              So,

               a + b=90° - (1)

             Put the value of a and b in Equation (1),

            We have ,

              37° + (7n-3)°= 90°

                      (7n-3)°=90°-37°

                      (7n-3)°= 53°

                       7n°=53°+3

                        7n°=56°

                          n= 8°

Answer:   n= 8°  

The amount of the repayment check was $22199.492.

What is the interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here, we have

Given: A loan of $21,532 was repaid at the end of 6 months.

We have to find the size repayment check (principal and interest)

was written, if a 6.2% annual rate of interest was charged.

Principal P = $21,532

Rate r = 6.2% = 0.062/yr

Time t = 6 months = 6/12 = 0.5 yr

Interest = Principal * rate * time

I = Prt

I = 21,532×0.062×0.5

I = $667.492

The loan repayment is the original Principal plus the interest.

A = $21,532 + $667.492

A = $22199.492

Hence, The amount of the repayment check was $22199.492.

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100:2=50 r 0

50:2=25 r 0

25:2=12 r 1

12:2=6 r 0

6:2=3 r 0

3:2=1 r 1

1:2 =0 r 1

[tex]\bf 100_{10}=1100100_{2}[/tex]

Tony will spend $15 + $8 = $23 for the hot dogs and buns for his cookout.

The cost price (abbreviated as CP) is the amount of money that a business pays to buy or produce a product or service. It includes all the expenses incurred in manufacturing, purchasing, or acquiring the product, such as the cost of raw materials, labor, transportation, and other overhead costs.

Tony needs to buy 24 hot dogs and 24 buns, which means he needs to buy 24/8 = 3 packages of hot dogs, and 24/6 = 4 packages of buns.

The cost of 3 packages of hot dogs is 3 x $5 = $15.

The cost of 4 packages of buns is 4 x $2 = $8.

Therefore, Tony will spend $15 + $8 = $23 for the hot dogs and buns for his cookout.

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According to given information h(x2) is equal to [tex]4x^2 / [(x2 - 2)^2 + 3].[/tex]

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range), where each input is associated with exactly one output. A function can be represented as a rule or equation that assigns a unique output to each input, or as a graph that shows the relationship between the inputs and outputs. Functions can be used to model many real-world phenomena and processes, such as population growth, financial investments, physical motion, and sound waves. They are a fundamental concept in algebra, calculus, and other branches of mathematics, and are widely used in science, engineering, economics, and other fields.

To find h(x2), we need to substitute x2 for x in the given function h(x) and simplify:

[tex]h(x) = 4x / (x^2 - 4x + 7)[/tex]

[tex]h(x2) = 4x2 / (x2^2 - 4x2 + 7)[/tex] [Substitute x2 for x]

Now, we simplify the expression:

[tex]x2^2 - 4x2 + 7 = (x2 - 2)^2 + 3[/tex][Complete the square]

So, we have:

[tex]h(x2) = 4x2 / [(x2 - 2)^2 + 3][/tex]

Therefore, according to given information h(x2) is equal to [tex]4x^2 / [(x2 - 2)^2 + 3].[/tex]

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Step-by-step explanation:

he ran 3 times as fast.

speed = distance/time

speed × time = distance

time = distance/speed

x = speed of the challenger = x miles/hour

y = time for 32 miles = 32/x

speed of Archimedes = 3x miles/hour.

y - 3 = 60/3x

using the first in the second equation

32/x - 3 = 60/3x

let's multiply both sides by 3x

3×32 - 9x = 60

96 - 9x = 60

-9x = -36

x = 4

so, the challenger ran 4 mph (in other words : he more or less walked a little bit faster),

Archimedes ran 4×3 = 12 mph.

The rate of the slower jet is 562 mi/h and the rate of the faster jet is 656 mi/h.

Distance is a measure of the physical separation between two objects or points. It is a fundamental concept in geometry, physics, and other sciences, and it is used to describe the length or size of objects, the speed of motion, and the magnitude of forces.

Let's call the rate of the slower jet "r" (in mi/h). Then the rate of the faster jet is "r+94" (since it's traveling 94 mi/h faster).

We know that after 2 hours, the two jets are 2436 miles apart. We can use the formula:

distance = rate x time

For the slower jet, the distance it has traveled is:

distance = rate x time = r x 2 = 2r

For the faster jet, the distance it has traveled is:

distance = rate x time = (r+94) x 2 = 2r + 188

The total distance between the two jets is the sum of these distances:

2r + (2r + 188) = 2436

Simplifying this equation, we get:

4r + 188 = 2436

Subtracting 188 from both sides:

4r = 2248

Dividing by 4:

r = 562

So the rate of the slower jet is 562 mi/h. The rate of the faster jet is:

r+94 = 562+94 = 656 mi/h

Therefore, the rate of the slower jet is 562 mi/h and the rate of the faster jet is 656 mi/h.

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Answer: A table or graph where the value of y goes down as the value of x goes up is one that shows a negative correlation between x and y. In other words, as x increases, y decreases.

Here is an example of a table and graph where y goes down as x goes up:

Table:

x y

1 5

2 4

3 3

4 2

5 1

Graph:

  6|       .

   |    .

   | .

   |.

   |_____________

        1  2  3  4  5    x-axis

In this example, as x increases from 1 to 5, y decreases from 5 to 1. This shows a negative correlation between x and y, where y goes down as x goes up.

Step-by-step explanation:

The solution to the equation below rounded to two decimals is x = 2.77.

A number that may be entered for the variable to produce a true number statement is the answer to an equation.

The solution to the equation [tex]3^x=21[/tex] is x = 2.77 (rounded to two decimal places).

To solve this equation, we can take the logarithm of both sides using any base. Let's use the natural logarithm (ln):

[tex]3^x = 21\\\\ln(3^x) = ln(21)[/tex]

Using the power rule of logarithms, we can bring down the exponent x:

x ln(3) = ln(21)

Finally, we can solve for x by dividing both sides by ln(3):

x = ln(21) / ln(3) = 2.769...

Rounding to two decimal places gives x = 2.77.

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Answer:

10.2 square feet

Step-by-step explanation:

The figure given is that of a regular hexagon

Here we can see 6 congruent triangles in the hexagon each with a base of 2 feet and a height of 1.7 feet

The area of each triangle = 1/2 bh which in this case works out to

1/2 x 2 x 1.7 = 1.7 square feet

Therefore the total area of 6  triangles = 6 x 1.7 = 10.2 square feet

Answer:

At the time of this writing (October 2020), 1 euro is equivalent to 1.18 US dollars. This means that 1.22 euros per liter would be equivalent to 1.42 US dollars per gallon.

Step-by-step explanation:

Wish you the Best with your studies!

Answer:

Sir, could you post your question again so that we can have a better look at the question?

Answer:

see explanation

Step-by-step explanation:

the multiplication table requires the numbers on the top line to be multiplied ( × ) by 3

3 × 20 = 60

3 × 5 = 15

then numbers on lower row are

60 and 15

60 below the 20 and 15 below the 5

Step-by-step explanation:

the area of a circle is

pi × r²

r = radius is always half of the diameter

r = 10/2 = 5 in.

the whole area of the pi is

pi×5² = 25pi = 78.53981634... in²

the price for the whole pie is $12.85.

so, the price for one in² is

12.85 / 78.53981634... = $0.163611281... ≈ $0.16

Answer:14

Step-by-step explanation: cookies

The data distribution is symmetric or moderately skewed, and the mean is likely close to the median (around 7).

We have,

From the box-and-whisker plots, we can find the shape of the distribution.

The form of the Data Distribution:

The data distribution appears to be somewhat symmetric or moderately skewed.

This conclusion can be made by considering the position of the median, lower quartile, and upper quartile.

The median (7) is located approximately in the center of the box, indicating that the data is somewhat balanced around this value.

Additionally, the lower quartile (5) and upper quartile (11) are equidistant from the median, suggesting a relatively symmetrical distribution.

From the box-and-whisker plots

Location of the Mean in Relation to the Median:

In a symmetric distribution, the mean and median are typically close to each other or approximately equal.

Since the median is given as 7, and we don't have the exact value of the mean, we cannot determine its precise location in relation to the median. However, it is reasonable to assume that the mean is likely to be close to the median (around 7) based on the assumption of a symmetric or moderately skewed distribution.

Thus,

The data distribution is symmetric or moderately skewed, and the mean is likely close to the median (around 7).

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The social security tax rate for the employees is show below

Thus, for the employee 3 = 10709 + 117799 = 128, 508 which is above the base

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:

Employee:                             1              2           3               4

December Salary :            $9900    $10,000  $10709   $10,000

Year of date earnings

Through November 30:   $99,000  $70,000 $117799 $100000

Social sec taxable

Earnings December:        9900     10,000   4901           10,000

Social security tax 6.2%:  613.80    620        304            620

Now,

For the employee 3 = 10709 + 117799 = 128, 508 which is above the base

Thus,

$128,508 - $122, 700

=5808 ( this earning is not taxable)

Hence, 10709 -5808 = 4901 (this is a taxable earning).

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The cost of renting a car for 15 days is given as follows:

$668

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points for this problem are given as follows:

(1, 56), (2, 82), (3, 108), (4, 134), (5, 212), (6, 290).

Inserting these points into a calculator, the linear regression equation giving the cost of renting a car for x days is given as follows:

y = 45.3x - 11.6.

Hence the cost for 15 days is given as follows:

y = 45.3(15) - 11.6

y = $668 -> rounded.

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Answer:

4(-2x+3) or -4(2x-3)

Step-by-step explanation:

Honestly I see noting wrong with your answer.

I would factor as either 4(-2x+3) or -4(2x-3)

The response we have is as follows to the query that was asked the store owner's profit is 27.7 percentage of the selling price of grapes.

A percentage is a ratio or figure expressed as a portion of 100 in mathematics. Additionally, the abbreviations "pct.," "pct," and "pc" are rarely used. However, it is frequently denoted by the percentage sign "%". The percentage number has no dimensions. Basically, when the number is 100, percentages are fractions. A figure should be followed by the percent sign (%) to show that it is a number. For instance, if you correctly answer 75 out of twenty-five pages (75/100) on a test, you receive a 75% grade. When converting amounts to percentages, multiply the outcome by 100 after splitting by the sum. (Value/Total) is multiplied by 100% to get the proportion.

Profit = Selling Price - Cost Price

In this case, the cost price of 1 pound of grapes is $1.80 and the selling price is $2.49. Therefore,

Profit = $2.49 - $1.80 = $0.69

Profit Percentage = (Profit / Selling Price) x 100%

= ($0.69 / $2.49) x 100%

= 27.7%

Therefore, the store owner's profit is 27.7% of the selling price of grapes.

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Answer:

f Kyle's net worth is $672 and his liabilities are $314, we can calculate his total assets as follows:

Total assets = Net worth + Liabilities

Total assets = $672 + $314

Total assets = $986

Therefore, Kyle's total assets are $986.

Step-by-step explanation:

To find the total of Kyle's assets, we need to subtract his liabilities from his net worth:

Assets = Net worth - Liabilities

Assets = $672 - $314

Assets = $358

Therefore, the total of Kyle's assets is $358. The correct option is C.

The velocity function is: [tex]v(t) = v_i(t) + v_j(t) = i + 7t*j[/tex]

What is the kinematic equation?

The kinematic equation is a set of equations that relate the motion of an object to its velocity, acceleration, time, and displacement.

Given the acceleration a(t) = 7j, we can integrate it with respect to time to obtain the velocity function v(t). Since the acceleration is constant, we can use the basic kinematic equation:

v(t) = v(0) + a*t

where v(0) is the initial velocity and a is the constant acceleration. In this case, v(0) = i, which means that the initial velocity is in the i-direction. Since there is no acceleration in the i-direction, the velocity in that direction remains constant:

[tex]v_i(t) = i[/tex]

In the j-direction, the acceleration is constant and equal to 7, so we can integrate to obtain the velocity in that direction:

[tex]a_j = 7[/tex]

[tex]v_j(t) = v_j(0) + a_jt = 0 + 7t = 7tj[/tex]

Therefore, the velocity function is: [tex]v(t) = v_i(t) + v_j(t) = i + 7t*j[/tex]

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The volume of the empty space in the can is approximately 10549.36 cm³

A sphere is a three-dimensional geometrical shape that is perfectly symmetrical, meaning it has the same shape and size at any orientation. The volume of a sphere can be calculated using the formula V = (4/3) × π × r^3, where V is the volume of the sphere, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.

The volume of one ball can be calculated using the formula for the volume of a sphere:

V_ball = (4/3)πr³

where r is the radius of the ball.

For this particular ball, the radius is 3.3 cm, so

V_ball = (4/3)π(3.3)³ = 150.532 cm³ (rounded to three decimal places

To accommodate 5 balls in the can, the height of the can needs to be 10 times the radius of each ball, which is 3.3 cm, so the height of the can is 33 cm.

The volume of the can can be calculated using the formula for the volume of a cylinder:

V_can = πr²h

where r is the radius of the can and h is the height of the can.

Since the radius of the ball and the inside radius of the can are the same, the radius of the can is also 3.3 cm.

V_can = π(3.3)²(33) = 11209.226 cm³ (rounded to three decimal places)

To calculate the volume of the empty space in the can, we need to subtract the total volume of the 5 balls from the volume of the can:

V_empty = V_can - 5V_ball

V_empty = 11209.226 - 5(150.532) = 10549.36 cm³ (rounded to two decimal places)

Therefore, the volume of the empty space in the can is approximately 10549.36 cm³

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The required, triangle is acute isosceles. Option A is correct.

A triangle with two sides and two congruent angles is called an isosceles triangle.

Here,
The sum of angles in a triangle is 180°, so the third angle in this triangle must be,

180° - 55° - 55° = 70°

Since two angles are equal, the two sides opposite those angles must also be equal. Therefore, the triangle is isosceles.

If the third angle is less than 90°, then the triangle is acute. So the options are (A) acute isosceles and (C) acute scalene.

However, if the third angle is greater than 90°, then the triangle is obtuse, which eliminates option (D). Option (B) is a right triangle, which is not possible since the two equal angles are not right angles.

Therefore, the correct answer is (A) acute isosceles.

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The 16.7 feet fire escape that forms a right triangle with a 8.9 feet base, according to the Pythagorean Theorem indicates that the distance between the two platforms is about 14 feet

The Pythagorean Theorem states that if the lengths of the legs of a right triangle are a and b and the length of the hypotenuse side of the right triangle is c, then c² = a² + b².

Possible part of the question obtained from a similar question posted online includes;

The shape formed by the fire escape = A right triangle

Length of the base of the right triangle = 8.9 feet

Length of the fire escape (the hypotenuse side of the right triangle) = 16.7 feet

The distance between the two platforms = The height of the right triangle = x

The Pythagorean Theorem applied to the right triangle indicates that we get;

Square of the length of the hypotenuse side = Sum of the square of the legs of the right triangle

Therefore; 16.7² = 8.9² + x²

x² = 16.7² - 8.9² = 199.68

x = √(199.68) ≈ 14

The distance between the two platforms is about 14 feet

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Answer:

29

Step-by-step explanation:

ƒ(x) = 4x² – 3x + 2, what is f(3)

They are asking you to substitute in 3 in place of x:

ƒ(x) = 4x² – 3x + 2

ƒ(3) = 4(3)² – 3(3) + 2

ƒ(3) = 36 – 9 + 2

f(3) = 29

Answer:

60

Step-by-step explanation:

So you would have to add the solutions together, 15+10=25. divide by 15.. 15/25 = 0.6. But in order to get a percent, you must multiply by base tens. 0.6x100 = 60%

Answer:

60%

Step-by-step explanation:

To find the percent sugar, take the amount sugar over the total.

15

----------

15+10

15/25 =.6

Change the decimal to percent form.

.6 * 100% = 60%

The sum of the measures of the two remote interior angles of a triangle is equal to the corresponding exterior angle.