Carmen will donate up to $460 to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Carmen would like the amount donated to the Educational Growth Foundation to be at least twice the amount donated to the City Youth Fund. Let x denote the amount of money (in dollars) donated to the City Youth Fund. Let y denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of x and y that satisfy these requirements.

Please graph it :))))

Answer:

a) 3x^2-8x+14

b)x^2-8x-4

c)2x^4-8x+45

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Will's Wrapping Company needs 5000 mm² of paper to wrap the chocolate bar

What is a cuboid?

A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.

Total surface area of cuboid:

(SA)=2lw+2lh+2hw = 2(70)(30)+2(70)(4)+2(4)(30) = 5000 mm²

Thus, Will's Wrapping Company needs 5000 mm² of paper to wrap the chocolate bar

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SU + UQ = 6

Solve for SU and UQ (2 points):

SU = 3 and UQ = 3

The Triangle Midsegment Theorem states that in a triangle, the midsegment (the segment connecting the midpoints of two sides of a triangle) is parallel to the third side of the triangle and is half as long as the third side.

Therefore, we can use the Triangle

here,

SQ = 6,

then

SU = 3 and UQ = 3.

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The radio station can reach around 1,030,400 people within its coverage area.

Using the equation, calculate the size of the circular circle that the radio station signal can cover.

A = πD²/4 is the area and D is the diameter. using the pi-number 3.14.

r = 120 / 2 = 60 miles

The density of the area:  100 people per sq. mile

A = r² π = 60² · 3.14 = 3600 · 3.14 = 11,304 sq. miles

11,304 · 100 = 1,030,400

or

A = (3.14)(120 mi) (120 mi)

² / 4 \s A = 11304 mi²

being aware that 100 individuals reside in each square mile.

total population receiving the signal =11304 mi² x (100 people / 1 mi²)

                                   = 1,130,400

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The volume of triangular pyramid is 26.4 cubic meters.

What is triangular pyramid?

A pyramid with a triangle base is referred to as a triangular pyramid. Vertices are essentially corners in geometry. Both regular and irregular triangular-based pyramids contain four vertices.

Pyramids with triangular bases have six edges, three of which run along the base and three of which rise above the base. The pyramid is referred to as a regular tetrahedron if all six edges are the same length and all the triangles are equilateral.

Volume of a triangular pyramid is given by:

V = ⅓* Base Area* Height

Base Area= Area of triangle

Area of triangle= Height*base*1/2

= 1/2*8*3

= 12 square meters

Height = 6.6m

V= 1/3*12*6.6

= 26.4 cubic meters

Hence, the volume of triangular pyramid is 26.4 cubic meters.

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The equation of a line whose y-intercept and slope are 6 and 8 respectively is y = 8x + 6.

In the given question, we have to find the equation of a line whose y-intercept and slope are 6 and 8 respectively.

A straight line's general equation is y = mx + c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line equation that is employed the most frequently.

From the given question, the value of  m = 8 and c = 6.

Now putting the value of m and c in the general equation of line y = mx + c

y = 8x + 6

Hence, the equation of a line whose y-intercept and slope are 6 and 8 respectively is y = 8x + 6.

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Answer: -3/20

Step-by-step explanation:

Convert all numbers to fractions:

(-4/5 + 3/4)/(1/3)

=(-1/20)/(1/3)

=-1/20 * 3

= -3/20

The length of an object is the measurement of its longest side when measured from one end to the other.

6. 8 cm = 6.8 cm

7. 5 cm = 7.5 cm

14. 5 cm = 14.5 cm

17. 7 cm = 17.7 cm

The length of any object is the distance from one end to another. To calculate the length of an object, we must measure the distance between the two endpoints. To do this accurately, we need to use a ruler, tape measure, or other measuring device. To round the measurement to the nearest tenth, we need to look at the digit to the right of the decimal point. If the digit is 5 or higher, we round up, and if the digit is 4 or lower, we round down. For example, if the measurement was 6.8 cm, we would round it up to 6.9 cm. If the measurement was 7.5 cm, we would round it down to 7.4 cm. Similarly, 14.5 cm would round up to 14.6 cm and 17.7 cm would round down to 17.6 cm.

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On solving the provided question, we can say that the answer is that the percentage of 300\%300%300, percent of 888 is 888.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

300\%300%300, percent of 888

300/300/100 X 100 X 888

= 888

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The correct answer is C.1 raised to the power of 14 is equal to 1.so the  the simplified form of 1¹4 is 1.

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given: grid 1: rectangle, squares, triangles

grid 2: triangle, square

to find: area of shapes

final answer: 36 in sq

The quantity of space contained within a shape is known as area. A surface's or shape's area can be useful in everyday life. Multiply a rectangle's height by its width to determine its area. Because each side is the same length, all you need to do to find the area of a square is multiply the length of one of the sides by itself.

grid 1:

area of rectangle = length* height

= 1*4 = 4 in sq

area of square = side* side

= 3*3 = 9 in sq

area of square =  side* side

=1*1 = 1 in sq

area of 2 triangles =  2* 1/2(base* height)

= 2* 1/2(1* 1) = 1 in sq

total area in grid 1 = 15 in sq

grid 2:

area of square =  side* side

=3*3 = 9 in sq

area of triangle =  2* 1/2(base* height)

= 2* 1/2(4* 3) = 12 in sq

total area in grid 1 = 21 in sq

therefore, the total area is 21 + 15 = 36 in sq

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Answer:

Step-by-step explanation:

The show will not be canceled. The estimated number of viewers will remain above 2.5 million for all weeks, according to the graph.

What is exponential function?

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, which equates to about, is the exponential-function basis that is most frequently encountered.

Here Let us take  x = Week and y = Viewers

Then According to the question estimated number of viewers falls below 2.5 million by Week

Exponential Function: y = 2.5 million x 0.75

Hence the show will not be canceled. The estimated number of viewers will remain above 2.5 million for all weeks, according to the graph.

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Answer:

Step-by-step explanation:

144/4608=1/32 = 0.03125

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A stock’s value closed at $24.80 on the 12th and the same stock closed at 21.35 on the 13th,  13.91% was the change as a percent.

Finding the difference between two values in a time series, dividing that difference by the initial value, and multiplying by 100 are used to get the percentage change between the two values. The value change of a stock or significant stock index over time is frequently tracked in finance using percentage change. It is also employed to evaluate the worth of various currencies.

The calculation for percentage change is 100 divided by (New Price - Old Price). If the stock price has increased, the percentage change will be positive; if the stock price has decreased, it will be negative.

Given that,

A stock’s value closed at $24.80 on the 12th

the same stock closed at 21.35 on the 13th

the change as a percent = [(24.80 - 21.35) / 24.80] × 100

the change as a percent = [3.45 / 24.80] × 100

the change as a percent = 0.13911 × 100

the change as a percent = 13.91%

Thus, net percentage change is 13.91%

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a. The product of the first pair of real number whose sum is 50 is 25 x 25 = 625. The product of the second pair is 24 x 26 = 624.

b. The pair of numbers that have a sum of 50 and will produce the largest possible product is 25 and 25, as their product is 625.

a. To find the product of each pair of numbers, multiply the two numbers together. For example, the product of the first pair of positive numbers whose sum is 50 is 25 x 25 = 625. The product of the second pair is

24 x 26 = 624.

b. To find a pair of numbers that have a sum of 50 and will produce the largest possible product, first consider the two numbers that can add up to 50. The two numbers must be equal, such as 25 and 25. Multiply these two numbers together to get the largest possible product, which is 625.

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There are infinite linear equations that will have solutions x = 1 and y =3.

A linear equation is an equation that contains a variable raised to the first power. This equation is said to be linear because this mathematical relationship can be drawn as a straight line in the Cartesian coordinate system.

Based on the number of variables, this equation can be divided into three types:

From the question, we obtain that the solutions are x = 1 and y = 3. Then we draw the solution on a graph.

By observing the graph, we can see that there are so many (infinite) straight lines (yellow lines) that can pass through the point (2,3).

Thus we can conclude that there are infinite linear equations that will have solutions x = 1 and y =3.

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Rose's monthly payment will be $448.14.2. her monthly payment would have been $455.17.3. Rose saved approximately $7,023.27 by receiving the cash back.

Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. It is an important part of commercial and financial transactions and can take many forms, such as cash, check, credit card, or bank transfer. Payment is often facilitated through a payment processor, such as a bank or third-party payment service provider. Payment processing is the process of collecting and verifying the necessary information to complete a payment transaction. It includes verifying a customer’s identity, confirming the amount of the payment, and transferring the funds. Payment processing is essential for businesses to accept payments from customers and securely pay out to their vendors or suppliers.

Answer 1: Rose's monthly payment with the cash back will be $457.15.

Answer 2: If Rose had not received the cash back, her monthly payment would have been $479.63.

Answer 3: By receiving the cash back, Rose saved approximately $22.48 per month, or a total of $1,084.24 over the course of 48 months.

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Answer:

Step-by-step explanation: ( 3, 1)

x = 3, y = 1

From the formula, y = x² + kx - 4

1 = 3² + 3k - 4

1 = 9 + 3k - 4

1 = 5 + 3k

-3k = 5 + 1

-3k = 6

Divide both sides by -3

-3k/-3 =  6/ -3

k = -2

The value of {f} and {g} is equivalent to 10.95 cm.

In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal - length adjacent sides.

Given is a trapezium ABCE.

ABCD is a square. So, we can write -

f = g

Area of square = 120 cm²

We can write -

f x g = 120

f² = 120

f = g = 10.95 cm

Therefore, the value of {f} and {g} is equivalent to 10.95 cm.

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Answer: To calculate how much John received in royalty payments for the quarter, we need to know the total sales of his book and the royalty rate. In this case, 18,000 copies of John's book were sold and the royalty rate is 13%.

We can calculate the total sales by multiplying the number of books sold by the price of each book:

Total Sales = 18,000 x $19.95

Total Sales = $359,100

To calculate the royalty payment, we need to multiply the total sales by the royalty rate:

Royalty Payment = Total Sales x (Royalty Rate / 100)

Royalty Payment = $359,100 x (13 / 100)

Royalty Payment = $46,547

So, John received $46,547 in royalty payments for the quarter.

Step-by-step explanation:

If the number formed by interchanging the digits is subtracted from the original number and when the result is 18. The original number is 72.

Let's call the original two-digit number "n". The first digit of "n" can be represented as "a" and the second digit as "b". According to the problem, the sum of the digits of "n" is 10, which means "a + b = 10". Also, if the number formed by interchanging the digits is subtracted from the original number, the result is 18, which can be expressed as "10a + b - (10b + a) = 18".

To find the original number, we can use algebra. Let x be the ten's digit and y be the unit's digit. Then, x + y = 10 and 10x + y - (y + x) = 18, which simplifies to 9x = 28 and x = 3. From x + y = 10, we find y = 7. The original number is therefore 72.

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Answer:

The value of b is 6.

We know for a quadratic equation ax^2+bx+c=0

the sum of roots = -b/a

and product of roots = c/a

the two roots are -4 and -2.

and a =1

so -b/a = (-4)+(-2)

=> -b = -6

=> b = 6.

therefore  b=6.

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Concurrent line segments are those that cross at least three other line segments at the same location.

Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.

Here,

Concurrent line segments are those where three or more line segments cross each other at the same location.

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The given expression is equivalent to (x + 2)(x + 6).

Given is a quadratic equation as -

- 3x² - 24x - 36

The given quadratic equation is -

- 3x² - 24x - 36

We can write the equation as-

- 3x² - 24x - 36 = 0

- 3(x² + 8x + 12) = 0

(x² + 8x + 12) = 0

x² + 6x + 2x + 12 = 0

x(x + 6) + 2(x + 6) = 0

(x + 2)(x + 6) = 0

Therefore, the given expression is equivalent to (x + 2)(x + 6).

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Bank E must pay the FDIC a fee of $115,200 to insure $4.8 million in deposits, which is calculated by multiplying the rate of 2.4 cents per $100 with the total amount of deposits.

1. Take the total amount of deposits and divide by

100 (4.8 million / 100 = 48,000)

2. Multiply by the rate of 2.4 cents

(48,000 x 0.024 = 1,152)

3. Multiply the result by 100

(1,152 x 100 = 115,200)

4. The amount Bank E must pay to the FDIC is $115,200.

Bank E must pay the FDIC a fee to insure its $4.8 million in deposits. In order to calculate the fee, you must first divide the total amount of deposits by 100 to get the number of $100 increments. You then need to multiply this number by the rate of 2.4 cents, which will give you the total fee in cents. Finally, you need to multiply the total fee in cents by 100 to get the total fee in dollars. In this case, the amount Bank E must pay to the FDIC is $115,200.

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A segment whose endpoints are on a circle is called a chord of the circle.

A segment whose endpoints are on a circle is called a chord of the circle. A chord is a straight line that connects two points on the circumference of a circle. The two points on the circumference are called the endpoints of the chord. The distance between the two endpoints of the chord is called the length of the chord. The midpoint of the chord is the center of the circle.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.

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You're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1).

What you're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1).

Let's look at the numerator and denominator of this function separately. First, in the numerator, as x goes toward -infinity, the value of 5ˣ gets closer and closer to 0 with ever increasing negative powers. You then subtract 1 from that, so the entire numerator will tend closer and closer to -1 with decreasing x.

Step2:

Then, in the denominator, recall that any number, negative or positive, to an even power will be positive. As x goes lower and lower, x¹⁰ will go higher and higher, to the point where subtracting 1 from it will have no effect. In other words, the denominator will tend closer and closer to infinity.

In the end, you basically have a real number being divided by ever larger and larger numbers, making it approach zero. So the final answer is, y will approach zero as x approaches -infinity.

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Answer:

the 24th day they'll be there

Step-by-step explanation:

4 8 12 16 20 24

6 12 18 24