Lauren receives a discount on each book she purchases. the original price of each x dollars. she purchase 4 books for a total of (4x-12) dollars. Factor the expression. what can you conclude about the discount?

Applying the property of the diagonals of a kite, the measure of angle F is calculated as: 71°.

The property of the diagonals of a kite is that they intersect at a right angle, while the shorter diagonal divides it into two isosceles triangles.

Thus, FH is a diagonal that divides the kite into two isosceles triangles, therefore:

m<EFH = 1/2(180 - 142)

m<EFH = 19°

m<GFH = 1/2(180 - 76)

m<GFH = 52°

m<F = m<EFH + m<GFH

m<F = 19 + 52

m<F = 71°

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Answer:

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

Property of kites:

In the given kite we can see a pair of different angles, ∠G and ∠E.

It means the other two angles are congruent:

We know the sum of interior angles of a quadrilateral is 360°.

Find the missing angle measure:

When x = 11, the value of y is approximately 8.276. We are given that the relationship between x and y is given by [tex]y = Ax^n[/tex]where A and n are constants.

We are also given the values of A and n:

[tex]A = e^0.5[/tex]

n = 3/8

We can substitute these values into the equation to get:

[tex]y = e^0.5 x^(3/8)[/tex]

Now, we are asked to find the value of y when x = 11. To do this, we substitute x = 11 into the equation:

[tex]y = e^0.5 x^(3/8)[/tex]

[tex]y = e^0.5 (11)^(3/8)[/tex]

We can use a calculator to evaluate this

First, we evaluate the exponent (3/8) using the exponent rules:

[tex](11)^(3/8) = (11^(1/8))^3 = 1.706[/tex]

Next, we substitute this value back into the equation:

[tex]y = e^0.5 x^(3/8)[/tex]

[tex]y = e^0.5 (11)^(3/8)[/tex]

[tex]y = e^0.5 (1.706)[/tex]

Using a calculator, we can evaluate this expression to get:

y ≈ 8.276

Therefore, when x = 11, the value of y is approximately 8.276.

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Thus, the total number of clients that got haircuts have blond hair is 9.

A prospective outcome of an experimentation or trial is described to as an outcome in probability theory. Only one result will materialise on each trial of an experiment since each possible outcome is distinct and numerous results are mutually exclusive.

Given number of hair colours:

Total colours = 12

Probability = favourable event / total outcome

Probability(blond hair) = 3/12 = 1/4

Total customers = 36

Number of clients have blond hair = 1/4 *36 = 9

Thus, the total number of clients that got haircuts have blond hair is 9.

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The system of inequalities that represents Irene's constraints is:

c + v ≥ 25 (She needs to make at least 25 dinners) 8.75c + 5.50v ≤ 250.

The problem presents two types of dinners: chicken and vegetarian. Irene needs to make at least 25 dinners, so the total number of dinners must be greater than or equal to 25. The cost of chicken dinners and vegetarian dinners is also given, along with the total budget of $250. These constraints can be translated into mathematical inequalities using variables c and v to represent the number of chicken and vegetarian dinners, respectively.

The first inequality represents the constraint that the total number of dinners must be greater than or equal to 25:

c + v ≥ 25

The second inequality represents the constraint that the cost of the dinners cannot exceed the total budget of $250:

8.75c + 5.50v ≤ 250

Together, these two inequalities form a system of inequalities that represents Irene's constraints. The solution to this system will give the possible values of c and v that satisfy both constraints.

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Answer:

128

Step-by-step explanation:

Sue's average for 9 games of bowling is 108. Therefore, the total scores for the 9 games is:

[tex]= 108 \times 9[/tex]

[tex]= 972[/tex]

To have an average of 110 in 10 games, her total score will be:

[tex]= 110 \times 10[/tex]

[tex]= 1100[/tex]

Therefore, the lowest score that she can get will be the difference between the values calculated above and this will be:

[tex]= 1100 - 972[/tex]

[tex]\bold{= 128}[/tex]

Answer:

Step-by-step explanation:

A) 6 inches. ( if the equation for the area of a triangle is

Answer:

ANSWER IS PROVIDED BELOW

hope this helps and good luck on your assignment

Answer: 3/3 +4/2=3

Step-by-step explanation:

given: 3/3 + 4/2

 3/3+ 4/2 =1 +2

    =3

Answer:

3/3+4/2=3

Step-by-step explanation:

3/3+4/2

=1+2

=3

Answer:

B i think

Step-by-step explanation:

b

After answering the presented question, we can conclude that Hence, fat  expression accounts for around 28.2 pounds of the individual's weight.

An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To establish how many pounds of an individual's weight are made up of fat, we must first determine the individual's body fat weight.

We may accomplish this by multiplying the individual's weight by the percentage of body fat (in decimal form):

Body fat weight = 163 pounds x 0.173 = 28.199 pounds

Hence, fat accounts for around 28.2 pounds of the individual's weight.

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Answer:

48

Step-by-step explanation:

first multiply 60 by 0.80 the decimal version of the percentage then you get 48.00 or 48 as your anser

Answer:

12.25pi

Step-by-step explanation:

area of ciricle: pi* r^2

the radius can be found by divding the diameter in half so, 3.5

now square 3.5 and multiply with pi

so, 12.25pi

~lmk if you got Qs

Step-by-step explanation:

We can simplify each equation to determine which one is true:

61 x 5 = 305

10381 x 27 = 279,387

1143 ÷ 9854 x 63 = 0.00736 x 63 = 0.46368

562 x 42 = 23,604

Therefore, the only equation that is true is 562 x 42 = 23,604.

Answer: It basically just Pi

Step-by-step explanation:

Pi equals 27/3 right, so you say pi = 27/3

That's basically it!

Any angle that shares a common vertex with <4 and whose measure adds up to 180 degrees is supplementary to <4.

To determine which angles are supplementary to <4, we first need to understand the concept of supplementary angles. Supplementary angles are pairs of angles whose sum is 180 degrees. In other words, if we have two angles, and their measures add up to 180 degrees, then they are supplementary to each other.

To find angles that are supplementary to <4, we need to look for other angles that add up to 180 degrees with <4. We can do this by examining the angles that intersect <4 or that share a common vertex with <4.

One way to identify such angles is to draw a diagram of the situation. Suppose we have a line with <4 marked on it. We can then draw another line that intersects the first line at <4, creating two angles on either side of <4. Let's call these angles A and B, where A is adjacent to <4 and B is adjacent to the other side of <4.

If we can find angle A or angle B, we can determine the other angle that is supplementary to <4. We know that A and B add up to 180 degrees, so if we find one of these angles, we can subtract it from 180 degrees to find the other angle.

To summarize, to find angles that are supplementary to <4, we can:

Draw a diagram of the situation, with <4 marked on a line and another line intersecting it at <4.

Identify the adjacent angles on either side of <4.

Label these angles A and B.

Determine the measure of either A or B.

Subtract the measure of the known angle from 180 degrees to find the measure of the other angle.

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2021 Riverside Red Dragon Football Season Points

0 0 3

1 1 7 7 7 7

2 0 0 0 2 4 8 8

3 1 3

Key 1|1 = 11

This stem-and-leaf plot correctly graphs the data set.

Given that sin B = -5/13 and angle B is in quadrant III, we can use the Pythagorean identity to find the value of cos B:cos² B + sin² B = 1

cos² B + (-5/13)² = 1

cos² B = 1 - 25/169

cos² B = 144/169

cos B = -12/13 (since cos B is negative in quadrant III)a) To find csc B, we can use the reciprocal identity:

csc B = 1/sin B

csc B = 1/(-5/13)

csc B = -13/5b) To find cot B, we can use the quotient identity:

cot B = cos B/sin B

cot B = (-12/13)/(-5/13)

cot B = 12/5c) To find cos B, we have already calculated it above:

cos B = -12/13d) To find sec B, we can use the reciprocal identity:

sec B = 1/cos B

sec B = 1/(-12/13)

sec B = -13/12e) To find tan B, we can use the ratio identity:

tan B = sin B/cos B

tan B = (-5/13)/(-12/13)

tan B = 5/12Therefore, the values of the trigonometric functions for angle B in standard position with terminal side in quadrant III and sin B = -5/13 are:

a) csc B = -13/5

b) cot B = 12/5

c) cos B = -12/13

d) sec B = -13/12

e) tan B = 5/12

Step-by-step explanation:

The equation describes a linear relationship between two variables, where the output of the equation, y, is equal to two fifths of the input, x.

To calculate the value of y in the equation y=2/5x, we need to start by identifying the value of x. Once that is known, the value of y can be calculated by substituting x into the equation. For example, if x=10, then we can substitute 10 into the equation to get y=2/5 x 10. To solve this, we can multiply 2/5 by 10 to get 2x10/5, which simplifies to 20/5. Since dividing by 5 is the same as multiplying by 1/5, we can simplify this to 20/5 = 4. Therefore, when x=10, y=4.

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the complete question is

What is the verbal description of y=2/5x  and identify the value of x

Answer:

The two numbers are 4 and -6. Since -6 is less than 4, the lesser of these two numbers is -6.

The lesser number is -6.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's call the two numbers x and y. We know that:

We can solve this system of equations using substitution. Solving the first equation for x, we get:

x = -2 - y

We can substitute this expression for x in the second equation:

-2 - y + 2y = -8

Simplifying this equation, we get:

y = -6

Now we can use the first equation to find x:

x + y = -2

x + (-6) = -2

x = 4

So the two numbers are -6 and 4, and the lesser of the two numbers is -6.

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Check the picture below.

so going on the 1st revolution from 0 to 2π, we get those two angles  you see in the picture, the cosine is positive on I and IV Quadrants, whilst negative on the II and III Quadrants, so any angles with that negative cosine will be only on those two Quadrants.

when getting an angle or a trig function, make sure your calculator is in the correct mode, because plugging in cos(-0.89) in Degree mode, it's going to assume you mean to find the cosine of -0.89 Degrees, and same will happen the other way around, so make sure your mode is correct, so the input is understood correctly.

the cos⁻¹ function has a range of 0 to π, so any angles it's going to spit out will be on those Quadrants, we get the one in the III Quadrant in the picture by simply using the reference angle from the II Quadrant, the reference angle is about 0.47359 radians, so if we add that to π, we get that many radians.

now, if we want to include All revolutions around the circle, we can say

[tex]\approx ~~ \begin{cases} 2.668+2\pi n\\\\ 3.615+2\pi n \end{cases}\qquad n\in \mathbb{Z};n\geqslant 0[/tex]

The area of the circle is 63.585 sq. cm.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area. Each shape's area may be calculated by counting how many unit squares will fit inside of it.

Given that the diameter of the circle is 9 cm

The radius = 9/2 = 4.5 cm

The area of the circle is:

A = πr²

Substitute the values:

A = (3.14)(4.5)²

A = 63.585 sq. cm.

Hence, the area of the circle is 63.585 sq. cm.

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The complete question is:

The solution is the factor 4y - 6x:. 2(2y - 3x) = 2(2y - 3x). 8 = 2• 4 =. 2(2y - 3x)

8. 2• 4

cancel the common factor: 2

= 2y - 3x. the answer is 2y - 3x

4 4

Answer:

about 1 cubic ft i think

Step-by-step explanation:

Answer: -1

Step-by-step explanation

The expression for the total amount of money collected in Keiko's class is 0.25 x 27 + 0.10 x 92 + 0.05 x 140 + 0.01 x 255

To find out how much money Keiko’s class collected, the teacher needs to add up the value of each coin.

The value of a quarter is 25 cents, a dime is 10 cents, a nickel is 5 cents, and a penny is 1 cent.

In dollars, the expression to find the total amount of money collected  can be written as follows:

0.25 x 27 + 0.10 x 92 + 0.05 x 140 + 0.01 x 255 = $25.50

Therefore, the total amount of money collected by Keiko’s class was $25.50

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We have that, The size of a given insect population is given by [tex]P(t) = 100e^{.03t}[/tex]. Where t is measured in days, we obtain the following:

a. To find the initial size of the insect population, we need to evaluate P(t) at t=0:

[tex]P(0) = 100e^(.03 * 0)P(0) = 100e^0\\P(0) = 100(1)\\P(0) = 100\\[/tex]

Therefore, initially there were 100 insects.

b. To find the differential equation satisfied by P(t), we need to find the derivative of P(t) with respect to time (t):

[tex]dP(t)/dt = d(100e^{(.03t))}/dt\\dP(t)/dt = 100(.03)e^{(.03t)}[/tex]

Then, the differential equation satisfied by P(t) is:

[tex]dP(t)/dt = 3e^{(.03t)}[/tex]

c. To find the time when the population doubles, we need to find t when P(t) = 200:

[tex]200 = 100e^{(.03t)}\\2 = e^{(.03t)}\\[/tex]

Now, take the natural logarithm (ln) of both sides:

[tex]ln(2) = ln(e^{(.03t)})\\ln(2) = .03t[/tex]

Solve for t:

[tex]t = ln(2)/.03 \approx 23.10.[/tex]

Therefore, the population will approximately double in t = 23.10 days.

d. To find the time when the population equals 300, we must solve for t at P(t) = 300:

[tex]300 = 100e^{(.03t)}\\3 = e^{(.03t)}[/tex]

Take the natural logarithm (ln) of both sides:

[tex]ln(3) = ln(e^{(.03t)})\\ln(3) = .03t[/tex]

Solve for t:

[tex]t = ln(3)/.03 \approx 36.32.[/tex]

Therefore, the population will equal approximately 300 at t = 36.32 days.

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The level of service for the urban freeway is level E, and the density is 61.25 vehicles per mile.

To determine the level of service for the urban freeway, we can use the Highway Capacity Manual (HCM) method, which considers factors such as traffic volume, speed, and density.

Based on the given traffic flow of 2500 vehicles per hour and a design speed of 60 mph, the capacity of the four-lane freeway can be calculated as 8000 vehicles per hour. Using this value, along with the interchange spacing of 0.33 miles, we can determine the density of the freeway, which is 61.25 vehicles per mile.

Using the HCM method, the level of service is determined by comparing the freeway density to the capacity, which results in a level of service of E. Level E indicates that the freeway is operating at or near its capacity, and delays are frequent.

In conclusion, the urban freeway has a level of service classified as E, and density of the freeway, which is the number of vehicles per mile, is calculated to be 61.25.

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