14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

3100 liters

Step-by-step explanation:

multiply the value by 1000

Answer:

You know you forgot to put a pictures I would recommend to put a picture to get desired answers!

Step-by-step explanation:

Answer:7,10,13,16

:))))

Answer:

2x-3

Step-by-step explanation:

f(x)-g(x)= 3x-1-(x+2)

           = 3x-1-x-2

           = 2x-3

The equation of the linear function is y = 4x - 2. The missing value in the table is 14.

The missing value in the given table is 10. Assuming that the data represent a linear function, we can use the slope formula (m = (y2 - y1) / (x2 - x1)) to find the missing value.

We can choose any two sets of coordinates from the table to find the slope, then use that slope to find the missing value. For example, using the coordinates (1, 2) and (2, 6), we get:m = (6 - 2) / (2 - 1) = 4

Therefore, the equation of the linear function is y = 4x + b, where b is the y-intercept. To find b, we can plug in any set of coordinates into the equation and solve for b.

For example, using the coordinates (1, 2), we get:2 = 4(1) + bSimplifying the equation, we get:b = -2Therefore, the equation of the linear function is y = 4x - 2. We can now use this equation to find the missing value when x = 4:y = 4(4) - 2 = 14Therefore, the missing value in the table is 14.

We are given a table of x and y values. We need to find the missing value assuming that the data represent a linear function. To find the missing value, we can use the slope formula (m = (y2 - y1) / (x2 - x1)).

This formula gives us the slope of the line passing through two points, which is the rate at which y changes with respect to x. We can then use this slope to find the missing value in the table.
Using the coordinates (1, 2) and (2, 6), we get a slope of 4. This means that for every 1 unit increase in x, y increases by 4 units. Therefore, the equation of the linear function is y = 4x + b, where b is the y-intercept.

To find b, we can plug in any set of coordinates into the equation and solve for b. Using the coordinates (1, 2), we get b = -2. Therefore, the equation of the linear function is y = 4x - 2.
Finally, we can use this equation to find the missing value when x = 4. Plugging in x = 4, we get y = 4(4) - 2 = 14. Therefore, the missing value in the table is 14.

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The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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Answer:

C) CA=40

Step-by-step explanation:

2y/(2y+4)=(2y+6)/4y

cross multiply

8y²=4y²+20y+24

4(2y²)=4(y²+5y+6)

divide both sides by 4

2y²=y²+5y+6

y²-5y-6=0

(y-6)(y+1)=0

So the answer must be either 6 or -1.  Since it can't be a negative number, it must be 6.

CA=2(6)+4+4(6)

CA=12+4+24

CA=40

Answer:

A. AB = AC because of the definition of an isosceles triangle

B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.

D. BM = CM because of the definition of a midpoint

Step-by-step explanation:

A. An isosceles triangle is a triangle with two equal sides, hence:

AB = AC because of the definition of an isosceles triangle. option A is correct.

D. Since Point M is drawn as the midpoint of BC, hence:

BM = CM because of the definition of a midpoint. Option D is correct.

E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.

AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.

C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.

Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion

ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.

D. Corresponding parts of congruent triangles are congruent. hence:

∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct

=========================================

Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80

So the area of the circle, A, is a function of the number of hours elapsed, h, and is given by A(h) = π(12.25 + 87.5h + 156.25h²).

In mathematics, a function is a rule that assigns to each input value (of a certain type) exactly one output value (of a certain type). The input values are often called the domain, and the output values are often called the range. Functions are used to model relationships between variables, and they are an important concept in many areas of mathematics, science, and engineering.

Here,

The formula for the area of a circle is A = πr², where r is the radius. Since the radius is changing at a rate of 12.5 inches per hour, we can express the radius as a function of time, h, using the formula:

r(h) = 3.5 + 12.5h

Substituting this into the formula for the area of a circle, we get:

A(h) = π(3.5 + 12.5h)²

Simplifying this expression, we get:

A(h) = π(12.25 + 87.5h + 156.25h²)

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Answer:

Step-by-step explanation:

First, the data set is:

  Gender     Race        Salary   WorkTimeStatus   Education   Tenure

1. Female  Caucasian  32196     Full Time                     14yrs          2 yrs

2. Male      Black          62385    Full Time                     16yrs         10yrs

Now to the questions:

(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).

(B) This data set contains 6 variables;

1. Gender  2. Race  3. Salary  4. Work time status  5. Years of education

6. Number of years in/with the company

(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:

3. Salary   5. Years of education   6. Years with the company

Altogether, 3 in number

(D) The qualitative variables are:

1. Gender   2. Race   4. Work Time Status

Altogether that's 3 variables

Answer:

Step-by-step explanation

The bottle had 20 ounces that before and 8 ounces after

8+x=20

20-x=8

20-8=x

20-8=12

Answer:

3.83 * 10^6

Step-by-step explanation:

When adding exponents, both the exponents and the bases should be the same. In this scenario, the bases are the same but not the exponents. What we should do is to decrease or increase one of the exponents and shift the decimal point over in one of the numbers to either left or right. I like to think of decrease, increase, and shifts as inward shifts and outward shifts when dealing with exponents in scenarios like this one. When I increase an exponet by an amount of times, the decimal point shifts left by the same amount of times. That's an outward shift. When the exponet decreases by an amount of times, the decimal point shifts right by the same amount of times. That's an in ward shift. There are two ways that we can simplify this scenario.

Way One:

(2.3 * 10^5) + (3.6 * 10^6)

(1) Raise the exponent 5 to 6 and move the decimal point in 2.3 to the left once. Now the bases and exponents are equal.

(0.23 * 10^6) + (3.6 * 10^6)

(2) Now add 0.23 and 3.6 then keep 10^6 for your exponential scenario.

3.83 * 10^6

(3) Check to make sure that there is only one number before the decimal. (in this case there is just one number before the decimal)

Final Answer: 3.83 * 10^6

Way Two:

(2.3 * 10^5) + (3.6 * 10^6)

(1) Decrease the exponent 6 to 5 and move the decimal point in 3.6 to the right once. Now the bases and exponents are equal.

(2.3 * 10^5) + (36 * 10^5)

(2) Now add 2.3 and 36 then keep 10^5 for your exponential scenario.

38.3 * 10^5

(3) Check to make sure that there is only one number before the decimal. (in this case there are two numbers before the decimal point; more steps!)

Not Yet Complete: 38.3 * 10^5

(4) Move the decimal point over until there is only one number before the decimal point and raise the exponent 5 to 6. (use the outward shift process!)

3.83 * 10^6

(5) Check for any flaws in your answers. (none left! we are done!)

Final Answer: 3.83 * 10^6

Overall, whatever way you choose to do this, you will get the same answer. I hope this helps and let me know if I am wrong! :D

Answer:

270 degrees.

Step-by-step explanation:

A full rotation is equal to 360 degrees. 3/4 * 360 = 270.

a) Expected value of x = 2.82

b) Variance of x = 4.4732

c) Standard deviation for x = 2.1145

To find the expected value of x, we need to multiply each value of x by its corresponding probability and then sum the results

E(x) = (0)(1) + (1)(0.15) + (2)(0.13) + (3)(0.07) + (4)(0.55)

= 0 + 0.15 + 0.26 + 0.21 + 2.2

= 2.82

Therefore, the expected value of x is 2.82.

To find the variance of x, we need to first find the squared deviations of each value of x from the expected value

(0 - 2.82)^2(1) + (1 - 2.82)^2(0.15) + (2 - 2.82)^2(0.13) + (3 - 2.82)^2(0.07) + (4 - 2.82)^2(0.55)

= 8.4961

Then, we can calculate the variance as the weighted average of these squared deviations, using the probabilities as weights

Var(x) = 8.4961/1.9

= 4.4732

Therefore, the variance of x is 4.4732.

Finally, the standard deviation of x is the square root of the variance

SD(x) = sqrt(4.4732)

= 2.1145

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(f g) (x) is 32x³ + 24x² + 4x. Function composition is an operation that takes two functions, f and g, and creates a function, h is g ∘ f , with the property that h(x) is g.

Function composition is an operation that takes two functions, f and g, and creates a function, h = g ∘ f, with the property that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

A function called an injective function (f) translates different items in its domain to different elements; f = f means that x1 and x2 are equal. To put it another way, each member of the function's codomain is, at most, a single instance of an element from its domain.

(8x + 2) * (4x^2 + 2x)

8x (4x^2  + 2x) + 2(4x^2 +2x)

32x^3 + 16x ^2 + 8x^2 + 4x

32x³ + 24x²+ 4x

(f g)(x) = 32x³ + 24x²+ 4x

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The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

yes

Step-by-step explanation:

b x h( base x height)

Answer:

No

Step-by-step explanation: But the opposite angles of a parallelogram are equal.

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

16 students

Step-by-step explanation:

For girls that wear glasses:

40 students x 0.6(60%) = 24 girls

24 girls x 0.5(50%) = 12 girls that wear glasses

For boys that wear glasses:

40 students x 0.4(40%) = 16 boys

16 boys x 0.25(25%) = 4 boys that wear glasses

12 girls + 4 boys = 16 students in total that wear glasses

Hope that helps :)

Answer: 16 students wear glasses

Part (a)

Answers:

A' = (0, 2)

B' = (-1, -2)

C' = (-3, -2)

D' = (-4, -1)

Explanation:

Multiply each coordinate by 1/3.

For instance,

\(B(-3,-6) \to B( -3*(1/3), -6*(1/3) ) \to B \ '(-1, -2)\)

====================================================

Part (b)

Answers:

A' = (-5, 5)

B' = (-8, -7)

C' = (-14, -7)

D' = (-17, -4)

Explanation:

Subtract 5 from the x coordinate. Subtract 1 from the y coordinate. This moves each point 5 units to the left and 1 unit down.

I'll show an example using point C.

\((\text{x},\text{y})\to(\text{x}-5,\text{y}-1)\\\\(-9,-6)\to(-9-5,-6-1)\\\\(-9,-6)\to(-14,-7)\\\\\)

Therefore, C(-9,-6) moves to C ' (-14,-7)

Answer:

The radius is 6!

Step-by-step explanation:

We know that both OA and OB lay on the circle, and O is the center.

In this equation you are trying to find O. We also know that OA = OB.

2x + 9 = 27 - x

2x = 18 - x (subtracted 9 from each side)

3x = 18 (added 1x to each side)

x = 6 (divided both sides by 3, to find x)

I hope this helps you! Comment if more help is needed :-)

PS: CALM YO TIDDIES!! STOP CRYING!! ASSDHSJDFSDHGJKJKJHL

Answer: The gram pacer test is a multi stage-

Step-by-step explanation:

Answer:

She made 10 additional cakes

Step-by-step explanation:

x = additional cake

20 = base salary

y = 4x + 20

60 = 4(x) + 20

40 = 4(x)

x = 10

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

weight of bag :

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Answer:

\(y=2x-3\)

Step-by-step explanation:

Find the equation of the line that passes through the points A and B.

\(A=(4,5)\\\\B=(2,1)\\\\\\\hrule\)

To find the equation of a line given two points, you can use the point-slope form of a linear equation, which is given by:

\(y-y_1=m(x-x_1)\)

Where...

To find the equation, follow these steps:

(1) - Determine the coordinates of the two points on the line. Let's call them (x₁, y₁) and (x₂, y₂).

(2) - Calculate the slope, "m," using the formula:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

This calculates the change in y divided by the change in x between the two points.

(3) - Substitute the slope, "m," and the coordinates of one of the points (x₁, y₁) into the point-slope form equation.

(4) - Rearrange the equation to get it into slope-intercept form. Which is written as:

\(y=mx+b\)

Where...

\(\hrulefill\)

Step (1) -

\((x_1,y_1) \rightarrow (4,5)\\\\(x_2,y_2) \rightarrow (2,1)\)

Step (2) -

\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\\\Longrightarrow m=\dfrac{1-5}{2-4} \\\\\\\\\Longrightarrow m=\dfrac{-4}{-2} \\\\\\\\\therefore \boxed{m=2}\)

Step (3) -

\(y-y_1=m(x-x_1); \ (x_1,y_1) \rightarrow (4,5) \ and \ m=2\\\\\\\\\Longrightarrow \boxed{y-5=2(x-4)}\)

Step (4) -

\(y-5=2(x-4)\\\\\\\\\Longrightarrow y-5=2x-8 \ \text{(Applied the distributive property)}\\\\\\\\\Longrightarrow y-5+5=2x-8+5\\\\\\\\\therefore \boxed{\boxed{y=2x-3}}\)

Thus, the problem is solved.

Hello !

Answer:

\(\Large\boxed{\sf y=2x-3}\)

Step-by-step explanation:

The slope-intercept form of a line is of the form \(\sf y=mx+b\) where m is the slope and b is the y-intercept.

The line passes through two points :

- A(4,5)

- B(2,1)

Let's replace x and y with their values in the equation :

\(\begin{cases}\sf 5=4m+b \\\sf 1=2m+b\end{cases}\)

We get a system of two linear equations to solve.

Let's subtract the second line from the first one and solve for m :

\(\sf 5-1=4m+b-2m-b\\\iff 4=2m\\\iff m=\frac{4}{2}\\\iff \boxed{\sf m=2}\)

Now let's substitute 2 for m in the second equation :

\(\sf 1=2\times2+b\\b=1-4\\\boxed{\sf b=-3}\)

The slope-intercept form of the line is :

\boxed{\sf y=2x-3}

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The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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