Including scholarships and financial aid, Laurie has $24,000 to spend on
college. If the total cost of her college education is
she will have
enough resources to pay.
A. $31,000
B. $22,000
C. $25,000
D. $28,000
SUBMIT

Therefore, the length of each of the three remaining sides is 46/3 inches, or approximately 15.33 inches.

Perimeter is a term used in geometry to describe the total length of the boundary of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The concept of perimeter is important in many practical applications, such as construction, landscaping, and engineering. For example, when building a fence around a garden, the perimeter of the garden would be the length of the fence needed to enclose it. In engineering, the perimeter of a structure or component can help determine the amount of material needed to build or repair it.

Here,

Let's label the sides of the kite as follows:

Side A: the side with a length of 18 inches

Side B: one of the remaining sides

Side C: the other remaining side

Side D: the remaining side that is opposite to Side A

We are told that the perimeter of the kite is 82 inches. The perimeter is the sum of the lengths of all four sides, so we can write:

Perimeter = Side A + Side B + Side C + Side D

Substituting the values we know, we get:

82 = 18 + Side B + Side C + Side D

We also know that Side B, Side C, and Side D add up to the same length as Side A, since the kite is symmetrical. That is:

Side A = Side B + Side C + Side D

Substituting Side A = 18, we get:

18 = Side B + Side C + Side D

Now we have two equations:

82 = 18 + Side B + Side C + Side D

18 = Side B + Side C + Side D

We can subtract the second equation from the first to eliminate Side B, Side C, and Side D:

82 - 18 = 18 + Side B + Side C + Side D - (Side B + Side C + Side D)

64 = Side A

So the length of each of the three remaining sides is:

Side B = Side C = Side D = (Side A - 18)/3 = (64 - 18)/3 = 46/3

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Answer:

There's no sign between 16x and 14x?

Step-by-step explanation:

Answer:

rounded -6 or -48 look at bottom it confused.

Step-by-step explanation:

I don't know if it is 16x-14x or 16x + 14x so I'll just do both

ADDING

2x + 16x + 14x + 191 (collect like terms)

32x + 191 (minus 32x on both sides)

-32x = 191 (divide by -32 on both sides)

x = -5.96875≈ -6

SUBTRACTING

2x +16x -14x + 191 (collect like terms)

4x + 191 (subtract 4x on both sides)

-4x = 191 (divide by -4 on both sides)

x = -47.75≈ -48

HOPE THIS HELPS!!

A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

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This lane symbol is used for marking the beginning and ending of a left turn to the drivers.

What are lane symbols?

A permitted lane usage is denoted by a lane symbol. For example, a lane marked with a diamond is one that is designated for high-occupancy cars.  A lane symbol of a bicycle marks that the lane is designated for cyclists. At crossings, arrows indicate movements that are necessary or allowed. The user of the roadway must yield when there is a row of solid triangles. Likewise, two large curved arrows facing each other on a lane in the middle of a two way road with dashed lines on either sides indicate the beginning and ending of a left turn.

A Lane symbol or marking are also utilized to warn drivers of potentially dangerous situations that may be coming up. For instance, a triangle with no filling indicates a yield ahead. A speed hump is indicated by a succession of lines across a lane that get bigger and wider.

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Answer:

slope= -6/8 or -3/4

Step-by-step explanation:

(-10-(-4)/(-12-(-20)= -6/8

Answer:

the median will be 5

the mode will be 1300

the mean is I don't know.

Step-by-step explanation:

I don't know exactly but I am trying

45 Distinct handshakes took place when every player shook hands with everyone who played.

To find out how many distinct handshakes took place if every player shook hands with everyone who played, we will

use the concept of combinations.

Identify the number of players involved, which is 10 (you plus 9 friends).

Use the formula for combinations: C(n, k) = n! / [k! × (n-k)!],

where n is the total number of players and k is the number of players in each handshake (which is 2).

Plug in the values: C(10, 2) = 10! / [2! × (10-2)!].

Calculate the factorial values: 10! = 3,628,800, 2! = 2, and 8! = 40,320.

Plug in the factorial values and calculate: C(10, 2) = 3,628,800 / (2 × 40,320) = 3,628,800 / 80,640 = 45.

So, 45 distinct handshakes took place when every player shook hands with everyone who played.

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Answer:

132.5 cm²

Step-by-step explanation:

The cuboid has 6 surfaces, actually 3 pairs of equal surfaces. You add the areas of each of them:

top/bottom: 2.3*7.5 =  17.25 cm²

front/back: 5*7.5 = 37.5

left/right: 2.3*5 = 11.5

add them: 17.25 + 37.5 + 11.5 = 66.25 cm²

Now double that value to get all sides: 2*66.25 = 132.5 cm²

Never forget the unit (cm²)!

Answer:

You have to calculate 3 pairs of surface areas:

2 x 7.5 x 5 = 75

2 x 2.3 x 7.5 = 34.5

2 x 2.3 x 5 = 23   and that totals

132.5

Step-by-step explanation:

Step-by-step explanation:

-17+9= -8 + (-9) +9

-17+9= -8 + 0

Answer: -{9+8}

              -9-8=-17

Step-by-step explanation:

if u add -9 to 9 you get 0 and if u add -9 to -8 you get -17 that's i got the answer

Answer:

9999

Step-by-step explanation:

99x10=990

99x1=99

9999

Answer:9999

I hope it is helpful:)

Step-by-step explanation:

we can see 99 is 100-1 and 101 is 100+1

we can rewrite this as,

99*101=(100-1)(100+1)

let's use short mltiplication formula,

\(a^{2}-b^{2}=(a-b)(a+b)\\(100-1)(100+1)=100^{2}-1^{2}=10000-1=9999\)

$ 58.50

Step-by-step explanation:

because 39 Divided by 6 is 6.5 and 6.5 × 9 it's 58 50

Answer:

8

Step-by-step explanation:

The 110 degree angle is oppoiste to the angle across it.

Using PLT-C the other angle on the bottom of it should be 70 degrees.

since the 70 degrees is on a straight angle the angle beside it should 110

14(8)-2 = 110

Answer:

6 hours

Step-by-step explanation:

Answer:

6 Hours

Step-by-step explanation:

First you want to know how many hours it will take to get to 440 miles

Then figure it out in fractions which would be 4/4

then half it to make it easier so 220 = 2/4 then the equation asks on how to get 3/4 well whats the even number between the 2 fractions

and the answers to the miles are

440 miles = 8 hours

220 miles = 4 hours

so then 330 miles = 6 hours

so 6 hours is the answer

Answer:

We can start by calculating the total amount of money earned per week:

$12.50/hour x 25 hours/week = $312.50/week

To find out how many weeks it will take to earn $3,437.50, we can set up a proportion:

Total amount earned / Amount earned per week = Number of weeks

$3,437.50 / $312.50/week = 11 weeks

Therefore, it will take 11 weeks to earn $3,437.50 working 25 hours per week at a rate of $12.50 per hour.

The half-life of the radioactive substance is approximately 33.1 days. The calculation involved using the half-life formula, which relates the amount of substance remaining after a certain time to its initial amount and half-life constant.

To find the half-life of the substance, we can use the formula:

A(t) = A₀\((1/2)^{t/h}\)

where A₀ is the initial amount, A(t) is the amount remaining after time t, and h is the half-life.

We know that A₀ = 26 grams and A(10) = 22 grams, so we can set up the equation

22 = 26\((1/2)^{10/h}\)

Simplifying, we get

\((1/2)^{10/h}\) = 22/26

\((1/2)^{10/h}\) = 0.846

Taking the logarithm of both sides (with base 1/2), we get

10/h = log(0.846) / log(1/2)

h = 10 / (log(0.846) / log(1/2))

Using a calculator, we find that h ≈ 33.1 days.

Therefore, the half-life of the radioactive substance is approximately 33.1 days.

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Step-by-step explanation:

x/2 = 3×x/6

sin(x/2) = sin(3x/6)

cos(x/2) = cos(3x/6)

tan(x/2) = tan(3x/6) = sin(3x/6)/cos(3x/6)

looking up triple angle identities for trigonometric functions we find :

cos(3x) = 4cos³(x) - 3cos(x)

so,

cos(x/2) =

cos(3x/6) = 4cos³(x/6) - 3cos(x/6) = 4(3/5)³ - 3×3/5 =

= 4×27/125 - 9/5 = 108/125 - 9×25/125 =

= 108/125 - 225/125 = -117/125 =

= -0.936

sin(3x) = 3×sin(x) - 4×sin³(x)

so,

sin(x/2) =

sin(3×x/6) = 3×sin(x/6) - 4×sin³(x/6)

also remember,

sin²(x) + cos²(x) = 1

therefore,

sin²(x/6) + cos²(x/6) = 1

sin(x/6) = sqrt(1 - cos²(x/6)) = sqrt(1 - (3/5)²) =

= sqrt(1 - 9/25) = sqrt(25/25 - 9/25) =

= sqrt(16/25) = 4/5 = 0.8

so, again

sin(x/2) =

sin(3×x/6) = 3×sin(x/6) - 4×sin³(x/6) =

= 3×4/5 - 4×(4/5)³ =

= 12/5 - 4×64/125 = 12×25/125 - 256/125 =

= 300/125 - 256/125 = 44/125 =

= 3×0.8 - 4×0.8³ = 0.352

tan(x/2) = sin(x/2)/cos(x/2) =

= 44/125 / -117/125 = -44/117 =

= 0.352 / -0.936 =

= -0.376068376...

Answer:

5t

Step-by-step explanation:

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The technique of multiple imputation is more likely to give the best estimates of model parameters among the missing data treatment techniques.

Multiple imputation is a statistical technique that involves creating multiple plausible imputed values for missing data based on observed information. It accounts for the uncertainty associated with missing data by incorporating it into the imputation process.

By generating multiple imputed datasets and analyzing them separately, the technique captures the variability due to missing data and produces more accurate estimates of model parameters compared to other techniques like listwise deletion or single imputation methods.

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Answer:

Out of 36 cubes on each face, the 16 cubes not on an edge are the only ones frosted on a single face. 16 on each face x 6 faces = 96 cubes frosted on one face.

Step-by-step explanation:

Hope it helps!

There are 64 cubes that are frosted on one side only.

"A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron."

"Shapes in three-dimensions or as we view them in real life are called 3D shapes. Examples of 3D shapes are cubes, cuboids, spheres, cylinders, cones and frustum of cones."

Each face will have three types of cubes on it:

1. Corner Cubes - Frosted on three adjacent sides

2. Edge Cubes - Frosted on two adjacent sides and on the edge between two corner cubes.

3. Central Cubes - Frosted on one side and in the middle of all edges of the face.

Thus, the number of cubes that have only one side as frosted are the total number of central cubes. They can be calculated as follows for all 6 faces:

\(Cubes_{central}\) = (6−2)(6−2)+(6−2)(4-2)+(6−2)(4−2)+(6−2)(6−2)+(6−2)(4−2)+(6−2)(4−2)

= \(2 (4)^{2}+4(4)(2)\)

= 32+ 32

= 64

Thus there are 64 cubes that are frosted on one side only.

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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The formula (Value / Total) * 100 allows you to calculate the percentage using structured references. By plugging in the specific value and the total value into the formula, you can determine the percentage and express it as a relative proportion or ratio.

To calculate the percentage using structured references, you can use the following formula:

= (Value / Total) * 100

The formula above calculates the percentage by dividing the value you want to find the percentage of by the total value, and then multiplying the result by 100 to express it as a percentage.

"Value" represents the specific value you want to find the percentage of.

"Total" represents the total value or the whole amount that serves as the reference for the percentage calculation.

Let's consider an example:

Suppose you have a table with sales data, and you want to calculate the percentage of sales for a specific product compared to the total sales.

Product                                     Sales

Product A                                 500

Product B                                 750

Product C                                1000

Total                                          2250

To calculate the percentage of sales for Product B, you can use the formula:

= (750 / 2250) * 100

The result will be 33.33%, indicating that Product B's sales account for approximately 33.33% of the total sales

The formula (Value / Total) * 100 allows you to calculate the percentage using structured references. By plugging in the specific value and the total value into the formula, you can determine the percentage and express it as a relative proportion or ratio.

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Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

A Magic Square is a square grid of numbers in which the sum of every row, column, and diagonal is equal.

One way to approach this is to start with the center number and work outwards.

Since every row, column, and diagonal adds up to 0, the center number must be 0.

From there, we can fill in the rest of the numbers systematically.
For example, in the top row, we need to find two numbers that add up to 0.

We could choose 1 and -1, or 2 and -2, or any other pair of opposite numbers.

Let's choose 1 and -1 for the top row.

Then, we can fill in the bottom row with the same numbers in reverse order.
Next, we can fill in the left and right columns.

Since every column must add up to 0, we need to choose numbers that add up to 0 in each column.

Let's choose 3 and -3 for the left column, and 2 and -2 for the right column.

Finally, we can fill in the diagonals with the remaining numbers.

In this particular Magic Square, every row, column, and diagonal adds up to 0.

We can choose 4 and -4 for one diagonal, and 5 and -5 for the other diagonal.
By following this systematic approach, we can complete the Magic Square with the following numbers:
           3  2 -1
           0  0  0
          -3 -2  1
This Magic Square is a great example of the fascinating patterns and mathematical properties that can be found in numbers. It is also a fun puzzle to solve and can provide hours of entertainment for people of all ages.

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Answer:

6x

Step-by-step explanation:

add sides up

According to the given information, the solutions to the equation 7x²-34=2x²+16 are x = √10 and x = -√10.

What is quadratic equation?

A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable.

To solve for x in the equation 7x²-34=2x²+16 using square roots, we can first simplify the equation by moving all the x² terms to one side and all the constant terms to the other side:

7x² - 2x² = 16 + 34

5x² = 50

5x²/5 = 50/5

x² = 10

Finally, we can take the square root of both sides (remembering to include both the positive and negative square root, since x could be positive or negative):

x = ±√10

Therefore, the solutions to the equation 7x²-34=2x²+16 are x = √10 and x = -√10.

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The only shape that has at least 3 angles of 90° would be; RECTANGLE

Since we have a 4-sided figure that had 2 sides that were 3.4 centimeters long and 2 sides that were 3.3 centimeters long. It had at least 3 right angles.

Since there are two pairs of equal sides; one pair of length 3.4 cm each and one pair of 3.3 cm each.

There quadrilateral (four-sided shape) that meets this first condition is:

Parallelogram

Rhombus

Rectangle

The only shape that has at least 3 angles of 90° would be; RECTANGLE as the other shapes don't have the right angle.

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The graph of the function is shown below:

a)

From the graph we notice that the vertex of the function is at the point:

b)

From the graph we notice that the axis of the function is the line:

C)

Since this is a polynomial its domain is all the real numbers, that is:

d)

From the graph we notice that the range is:

e)

The graph is increasing in the interval:

f)

The graph is decreasing in the interval:

See attached picture

Answer:

Step-by-step explanation:

You want a box-and-whisker plot for the given data list.

A box-and-whisker plot is a visual representation of the 5-number summary of a data set. Those five numbers are ...

A quartile value is the middle element of the list. If there is no middle element, it is the average of the two elements that are either side of the middle of the list.

The Q1 and Q3 quartile values are the middle elements of the half-lists that are formed when the median (Q2) is removed from the full list.

The first attachment shows where the 5-number summary values are found in the sorted list.

The second attachment shows the box-and-whisker plot for the 5-number summary of this data set.

The third attachment shows the construction of a box-and-whisker plot. (Often, the horizontal line does not extend through the middle of the box.)