TEXT ANSWER
Markita is reading a book. She decides to read the same amount of
pages every day. The line y = -45x + 750 represents how many pages
are left in her book 'x' days after she has begun reading it.
a. How many pages does the book have?
b. How many pages does she read per day?

Answer:

81

Step-by-step explanation:

go hgv thx bgg TV vvt g h.c g ccx d

The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

The polynomial function from number 2 is:

f(x) = 4x^3 - 5x^2 + 2x - 1

To write this in standard form, we need to arrange the terms in descending order of degree:

f(x) = 4x^3 - 5x^2 + 2x - 1

f(x) = 4x^3 + (-5x^2 + 2x - 1)

f(x) = 4x^3 - 5x^2 + 2x - 1

So the standard form of the polynomial function is:

f(x) = 4x^3 - 5x^2 + 2x - 1

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The value of  z is 15 for regular polygon.

Polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides

In the given polygon,

The number of sides=9

Interior angle of a polygon=180(n-2)/n

Now plug in n=9

Interior angle =180(9-2)/9

=180(7)/9

=140 degrees.

Given,

m∠a = (5z + 65)°

We need to find the value of z

140=5z+65

Subtract 65 from both sides

140-65=5z

75=5z

Divide both sides by 5

z=15

Hence, the value of  z is 15 for regular polygon.

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Answer:

62.8 inches

Step-by-step explanation:

C=2pir= 62.8

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

Step-by-step explanation:

yes

Answer:

72 inches

Step-by-step explanation:

Answer:

The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.

Step-by-step explanation:

y=mx+b

m=-1

y-y=m(x-x¹)

y-1=-1(x-7)

y-1=-1x+7

+1 +1

y=-x+8

I hope this helps:)

4/5 is a real number.

A real number is a value in mathematics that expresses a quantity along a continuous line. Real numbers can be expressed as fractions or decimals and can be positive, negative, or zero.

4/5 is a rational number in this situation, which is a form of real number that may be written as a ratio of two integers. A real number can also be irrational, which means that it cannot be stated as a ratio of two integers and that its decimal representation goes on indefinitely without repeating.

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Explanation:

x and y are the two numbers

The product of those values is 1856, so xy = 1856

The sum is 90, so x+y = 90. Solve for y to get y = 90-x

Plug this into the first equation

xy = 1856

x(90-x) = 1856

90x-x^2 = 1856

0 = x^2-90x+1856

x^2-90x+1856 = 0

Now use the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\\)

If x = 58, then,

y = 90-x

y = 90-58

y = 32

So one pair of values is (x,y) = (58,32)

We see that x*y = 58*32 = 1856

If x = 32, then,

y = 90-x

y = 90-32

y = 58

Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.

The two numbers 58 and 32 multiply to 1856, and they add to 90.

The difference in the two values is 58-32 = 26 which is the final answer.

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

In summary,

58*32 = 1856

58+32 = 90

58 - 32 = 26

Answer:26

Step-by-step explanation:

x+y=90

xy=1856

x*(90-x)=1856

-x^2 +90x -1856=0

or x^2 -90x +1856=0

Using quadratic equation

(x-58)*(x-32)=0

x=58, y=32

58-32=26

Answer:

Number of hours worked overtime = 5.5 hours

overtime rate = $17.925 per hour

overtime pay = $98.59

Step-by-step explanation:

a. Her overtime hours are the number of hours worked over 40 hours, and we are told that she worked 45 1/2 hours last week.

Therefore, her overtime hours = 45.5 - 40 = 5.5 hours

b. overtime rate:

for her overtime rate, we are given that she has a time-and-a-half pay for her overtime hours. This means that she is paid 1.5 times the normal rate for working overtime.

∴ overtime rate = 1.5 × normal rate

overtime rate = 1.5 × 11.95/hour

overtime rate = $17.925/hour

c. overtime pay:

overtime pay = overtime rate × overtime hours worked

overtime pay = 17.925 × 5.5

overtime pay = $98.59

I assume you mean the number x = 0.6272727….

You have

10x = 6.272727…

1000x = 627.272727…

==>   1000x - 10x = 990x = 621

==>   x = 621/990 = 69/110

Answer:

Television A, B, and C would all fit.

Step-by-step explanation:

2412 * 2 = 4824

8834 - 4824 = 4010

Therefore, all TVs 4010 inches or less would fit

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

Answer:

X- Intercepts= 50/3 0

Answer is C

None of these

Answer:

Focus -> \((0,2)\)

Step-by-step explanation:

Because the x-term is squared, the parabola must be vertical.

Recall that the equation for a vertical parabola is \(4p(y-k)=(x-h)^2\) where \(p\) is the distance from the vertex \((h,k)\) to the focus and \((h,k+p)\) are the coordinates of the focus.

We can tell by the given equation that the vertex must be located at the origin.

Therefore, we can determine the value of \(p\) having known the vertex and the direction of the parabola:

\(4p(y-k)=(x-h)^2\)

\(4p(y-0)=(x-0)^2\)

\(4py=x^2\)

\(4py=8y\)

\(4p=8\)

\(p=2\)

So, given that \(p=2\), this means that the coordinates of the focus are \((0,2)\).

The frequency of the A allele is 82.7%.

The frequency of the B allele is 17.3%.

We know that :

10,000 individuals

6,840 individuals have blood type AA

2,860 individuals have blood type AB

300 individuals have blood type BB

AA genotype frequency: 68.4%

AB genotype frequency: 28.6%

BB genotype frequency: 3%

The A allele occurs 6,840 * 2 + 2,860 * 1 = 16,540 times, which is a frequency of 82.7%, meaning the B allele occurs 3,460 times, which is a frequency of 17.3%. In the next generation, 3%, or 750, individuals would have blood type BB.

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The complete question is:

A hypothetical population of 10,000 humans has 6840 individuals with the blood type AA, 2860 individuals with blood type AB, and 300 individuals with the blood type BB.

What is the frequency of each genotype in this population?

What does the frequency of the A allele?

What is the frequency of the B allele?

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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The phrase "If every element x of X is associated with the equivalent one-term sequence (x)" states that there's a corresponding one-term sequence (x) appropriately represents each element x in collection X.

Sequences are ordered sequences of integers (called "terms") like 2,5,8. Certain sequences follow a specific pattern that can be utilised to expand them forever. For example, 2,5,8 follows the pattern "add 3," allowing us to continue with the series. Sequences contain formulas that tell us how to discover any term in a series.

You should be familiar with four sorts of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.

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Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

0.45 m, 0.63 m, 0.72 m

Step-by-step explanation:

Let the three parts of the line be 5x, 7x and 8x

Therefore,

5x + 7x + 8x = 1.8

20x = 1.8

x = 1.8/20

x = 0.09

5x = 5*0.09 = 0.45 m

7x = 7*0.09 = 0.63 m

8x = 8*0.09 = 0.72 m

Answer:

The area of square will increase with a scale factor of 25

Step-by-step explanation:

Scale factors are used in geometrical drawings and problems to solve the problems involving large quantities.

We know that

\(A = s^2\)

Here A is area of square and s is side.

It is given that the side length is increases by a scale factor of 5

Which means the new side is 5s

So the new area will be:

\(A' = (5s)^2\\A' = 25s^2\\A' = 25A\)

The new area is 25 times of the original area before applying scale factor.

Hence,

The area of square will increase with a scale factor of 25

Answer:

1. 6164 × 10 = 61640

2. 61640 ÷ 7 = 8845.71

Answer = $8845.71