Answer part a Homework question

Answer:

m = 1/8

Step-by-step explanation:

Assuming that you mean the slope:

\(m=\frac{rise}{run}=\frac{4-2}{32-16}=\frac{2}{16}=\boxed{\frac{1}{8}}\)

Hope this helps.

By using the midpoint formula, we will see that the coordinates of the endpoint G are (-6, 9).

Suppose we have a segment with endpoints (x₁, y₁) and (x₂, y₂), the midpoint of that segment is given by the formula:

( [x₁ + x₂]/2 , [y₁ + y₂]/2)

In this case we know that the midpoint is (-6, -3), one endpoint is H = (-4, 4) and the other endpoint G can be written as (x, y)

Then we will have the equation:

(-6, 3) = ( [-6 + x]/2 , [-3 + y₂]/2)

Then we have two simple equations:

(-6 + x)/2 = -6

-6 + x = -6*2

-6 + x = -12

x = -12 + 6 = -6

x = -6

And:

(-3 + y)/2 = 3

-3 + y = 2*3

-3 + y = 6

y = 6 + 3 = 9

Then the coordinates of endpoint G are (-6, 9)

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Answer:

41.81

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.72973 rad = 41.81° = 41°48'37"

∠C = 180° - A - B = 0.84107 rad = 48.19° = 48°11'23"

c = a·sin(C)sin(A)=4.47214 = 2√5

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Answer:

-4

Step-by-step explanation:

-4/9 (27-18) =

Do the parentheses first.

= -4/9 (9)

= -36/9

= -4

Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

From the question, we have the following parameters that can be used in our computation:

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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Answer:

0.63 should be your answer

Answer;

0.6333333

Step-by-step explanation:

I think it's helps you

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

easy math Girls=24 Boys=? The answer is 18 boys

Step-by-step explanation: What you know is for every 8 girls that is 1/3 of the total number of girls, so you just multiply 6 time 3. Hope this helped :)

Part a: The four layers can be stacked up to 1,000.

Part b: Most common value of x in this population $0 gift .

Part c: P(x ≥ 25) = 0.30.

Part d: P(x > 0) = 0.60

Part a: It is also anticipated that the students will donate nothing, or around 1000 x 0.40 = 400 of both.

To donors 10, about 1000 x 0.30 = 300.

1000 x 0.25 = 250 donors who gave $25, and 1000 x 0.05 = 50 donors who gave $50.

Its frequencies would approximate the likelihood but not exactly.

The four layers can be stacked up to 1,000.

Part b:

A $0 gift is the population's key value of x in point b, and 40% of students make this choice.

Part c: P(x ≥ 25)

P(x ≥ 25) = 0.25 + 0.05

P(x ≥ 25) = 0.30

Part d: P(x > 0)

P(x > 0) = 1 - P(x = 0)

P(x > 0) = 1 - 0.40

P(x > 0) =0.60

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Answer:

it was 200

Step-by-step explanation:

srry if its wrong

The correct answers are:

Functions are expressions separated by an equal sign. They have both dependent and independent variables.

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

 -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

  8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

 (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

 written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

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Answer:

To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:

r = (a/2) * cot(π/n)

where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.

In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:

6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)

36 = 50 - 50cos(x)

cos(x) = (50 - 36)/50

cos(x) = 0.28

x = cos^-1(0.28) ≈ 73.7°

Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:

(5/2)^2 + h^2 = 5^2

25/4 + h^2 = 25

h^2 = 75/4

h = sqrt(75)/2 = (5/2)sqrt(3)

Now we can find the radius of the inscribed circle using the formula:

r = (a/2) * cot(π/n)

where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:

r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm

Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.

Check the picture below.

Answer:

He is 53 inches in height

Step-by-step explanation:

4 × 12 inches = 48 + 5 = 53

Answer:

Step-by-step explanation:

m= the amount of money the mechanic makes.

h= the amount of money the helper makes.

m=h+5

m+h=114

h+5+h=114

2h+5=114

h=54.50

m=59.5

Helper makes $9 an hour.

Mechanic makes $9.92 an hour.

The earning of helper each earn per hour is 7$ /hr.

To find earning of helper per hour.

science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.

Given that:

let the cost /per hour of helper be x

and that of the mechanic is x+5

now for 6 hour job total earning is

6(x+x+5) = 114

=> 2x+5 = 19

so, 2x = 14 or x = 7

the earning of helper is = 7$ /hr

and earning of mechanic is = 12$/hr

So, the earning of helper each earn per hour is 7$ /hr.

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Answer:

5.236 units

Step-by-step explanation:

The relation between r, θ and arc length ( l ) is,

l = rθ

l = 1 * 5π / 3

( The value of π = 3.14 approximately )

5π = 5 x 3.14 = 15.7

l = 1 * 5π / 3

= 5π / 3

= 15.7/3

l = 5.236 units

Note : -

Arc length is denoted by " l ".

if f(x) = 2x + 3 and g(x) = 5 - f(x) then g(3)  value is 2.

A relation is a function if it has only One y-value for each x-value.

Given that function f(x) = 2x + 3 and

g(x) = 5 - f(x),

We need to find the g(3).

g(x)=5-2x+3

g(x)=8-2x

Now to find g(3) we have to replace x by 3

g(3)=8-2(3)

=8-6

=2

Hence, if f(x) = 2x + 3 and g(x) = 5 - f(x) then g(3)  value is 2.

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

It's 107

Step-by-step explanation:

pls give brainly crown

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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Answer:

\(Ratio =16 : 31\)

Step-by-step explanation:

Let

x = Freddie's age and y = His mother's age

Given

2001:=  \(x : y = 1 : 11\)

2018:= \(x +17: y + 17= 2 : 5\)

Required

The ratio of their age in 2030

\(x : y = 1 : 11\)

\(x +17: y + 17= 2 : 5\)

Express as fractions

\(\frac{x}{y} = \frac{1}{11}\) --- (1)

\(\frac{x+17}{y+17} = \frac{2}{5}\) -- (2)

In (1), make y the subject

\(\frac{x}{y} = \frac{1}{11}\)

\(y = 11x\)

Substitute \(y = 11x\) in (2)

\(\frac{x+17}{y+17} = \frac{2}{5}\)

\(\frac{x+17}{11x+17} = \frac{2}{5}\)

Cross Multiply

\(5(x +17) = 2(11x + 17)\)

\(5x +85 = 22x + 34\)

Collect like terms

\(22x - 5x = 85 - 34\)

\(17x = 51\)

\(x =3\)

\(y = 11x\)

\(y = 11*3\)

\(y = 33\)

This means that: In 2001, Freddie was 3 and his mother was 33

In 2030 (29 years after);

Freddie will be: 3 + 29 = 32

His mother will be: 33 + 29 = 62

So, the ratio is:

\(Ratio =32 : 62\)

Divide by 2

\(Ratio =16 : 31\)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

It takes 1.633 seconds for the ball to reach maximum height.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, f(x_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(f(x_{v})\)

In this question:

We have that the height is given by:

\(h(t) = -4.9t^2 + 16t + 13\)

So \(a = -4.9, b = 16, c = 13\).

The maximum height happens at the instant of time:

\(t_v = -\frac{b}{2a} = -\frac{16}{2(-4.9)} = \frac{16}{9.8} = 1.633\)

It takes 1.633 seconds for the ball to reach maximum height.

Answer:

1560 breaths

Step-by-step explanation:

130/5=26

26*60

1560 breaths

The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

The answer is "\(\bold{c= \pm \frac{2}{\sqrt{3}}}\)"

Step-by-step explanation:

If the function is:

\(\to f'(x) = 3x^2-2 \\\\\to f'(c) = 3c^2-2\)

points are:

\(\to -2 \leq x \leq2\)

use the mean value theorem:

\(\to f'(c) = \frac{ f(b)- f(a)}{b-a}\)

            \(= \frac{ f(2)- f(-2)}{2-(-2)}\\\\= \frac{4-(-4) }{4}\\\\= \frac{8}{4}\\\\= 2\)

\(\to 3c^2-2=2 \\\\\to 3c^2=4 \\\\\to c^2=\frac{4}{3} \\\\c= \pm \frac{2}{\sqrt{3}}\)