Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is
square units.
10

Answer:

parallel: 1, perpendicular: -1

Step-by-step explanation:

slope of a parallel line is the same

slope of a perpendicular line is a negative recipricol

slope of y=x+9 is 1

parallel: 1

perpendicular: -1

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

simple    

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

you can see the image dont have stand. so it cannot be 3d. 3d need right left up down to fullfil the box

Dosen"t fold to make a 3D shape.

3D shapes exist in forms with three dimensions, such as width, height, and depth. An example of a 3D shape exists as a prism or a sphere. 3D shapes exist as multidimensional and can be physically held.

A 2D shape includes two dimensions- length and breadth. A 3D shape contains three dimensions- length, breadth, and height.

The figure doesn't fold to make a 3-D shape as it doesn't have all the specified number of sides for any given shapes.

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Answer:

Cannot be drawn directly.

Step-by-step explanation:

The graph of every function w = f (x, y, z) will be a surface in R 4, though it can't be drawn directly; however, slicing horizontally by w = c produces relations c = f (x, y, z) in x, y, and z whose graphs will be surfaces in 3-space which can be drawn. Therefore, the graph of the function shown above cannot be drawn directly.

Answer:

21.9

Step-by-step explanation:

assuming you are asking about how much miles per gallon you got 21.9 would be the answer you just simply divide 527 by 24

Answer:

21.96 miles per gallon

Step-by-step explanation:

In any coordinate pair, the first number is the x-value and the second number is the y-value.

To find the slope, simply take the difference of the y values and divide by the difference in the x values: (14-9)/(1-4) is equal to -5/3.

The slope of the line that passes through (1, 14) and (4,9) is -5/3.

It is find the slope of the line.

The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

The slope is always calculated from the rise divided by the run. Typically, the equation is presented as:

m = Rise/Run

If you have two points, the points should be \(P_{1} (x_{1} ,y_{1} )\) and \(P_{2} (x_{2} ,y_{2} )\)  So, the equation would be:

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

In any coordinate pair, the first number is the x-value and the second number is the y-value.

The difference of the y values and divide by the difference in the x values:

m=(14-9)/(1-4) is equal to -5/3.

The slope of the line that passes through (1, 14) and (4,9) is  -5/3.

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Answer:

Step-by-step explanation:

Given the equation

\(3x\:-\:6y\:=\:-12\)

We know that x-intercept is obtained when we put y = 0,

so

\(3x\:-\:6y\:=\:-12\)

3x - 6(0) = -12

3x = -12

x = -4

Therefore, x-intercept will be: (-4, 0)

We know that y-intercept is obtained when we put x = 0,

\(3x\:-\:6y\:=\:-12\)

3(0) - 6y = -12

-6y = -12

y = 2

Therefore, y-intercept will be: (0, 2)

58,475+1,255+2,350 =62,080

Answer:

The answer is D, $62,080

Answer:

an element

Step-by-step explanation:

.

Step-by-step explanation:

a ) Heterogenous Mixture

Is the answer

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Answer:

16 pizzas.

Step-by-step explanation:

That is 4 divided by 1/4

= 4 * 4/1

= 16.

Answer:

16

Step-by-step explanation:

There are 4 pizzas per can and you have 4 cans.

4 x 4 = 16

a. The number of permutations possible is 6!, which is equal to 720.

b. The number of different permutations is 2 × 6!, which is equal to 1440.

What are permutations?

An arrangement of items in a specific sequence is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential manner.

a) If the letter C is left fixed, then we have 6 letters left to form the permutation. The number of permutations possible is 6!, which is equal to 720.

b) If the last letter is left fixed, then we have 6 letters left to form the permutation. The number of permutations possible is also 6!, but we need to consider that each permutation can be written in two different ways depending on which letter is fixed at the end. Therefore, the number of different permutations is 2 × 6!, which is equal to 1440.

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The correct question is:

Find the number of different permutations of 7 letters that can be formed with the letters of the

word COBATAB

(a) If letter C is left fixed.

b) If the last letter is left fixed.

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Answer:

Step-by-step explanation:

There are 36 ways 2 dice can be thrown. Sometimes colors are used to tell the difference between the dice.

36 comes from 6*6

Suppose you have 2 dice 1 blue and the other white

Blue      White

1              1

              2

              3

              4

              5

              6

There's 6 ways that have been thrown. Then you go to the blue dice being 2. You get six more. Then 3 gives you six more 4 gives you another six. and so on. The whole procedure adds to 36

you can throw a four 3 ways

Blue       white

1               3

3              1

2              2

You can throw 7 six ways

Blue         white

1                 6

6                1

2               5

5               2

3               4

4               3

So of the 36 ways to throw the dice 9 will successful. (6 + 3)

Answer: 9/36 = 1/4 times you will be successful

Answer:

These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x

Step-by-step explanation:

Answer:

The number is 5.

Step-by-step explanation:

Let x be the number.

\(3x - 8 = x + 2\)

\(2x = 10\)

\(x = 5\)

Answer:

57%

Step-by-step explanation:

The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

Temperature

Step-by-step explanation:

the internet does wonders

Kelvin, Celsius, and Fahrenheit are three types of scales used to measure temperature. They all are related with each other as they all measure same thing, which is 'temperature'.

We have got an equation that can relate these three units of measurement of temperature, as given below:

\(\dfrac{C}{5} = \dfrac{F - 32}{9} = \dfrac{K - 273}{5}\)

where C represents the measurement of a fixed temperature in Celsius, F represents the measurement of that same intensity temperature in Fahrenheit, and K represents the measurement of equally intense temperature in Kelvin.

Thus, Kelvin, Celsius, and Fahrenheit are three types of scales used to measure temperature. They all are related with each other as they all measure same thing, which is 'temperature'.

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Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)

Answer: 27

Step-by-step explanation:

Answer:

(3x + 1) • (3x - 1)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

3\({}^{2}\)x\({}^{2}\) - 1

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: 9x\({}^{2}\)-1

Theory : A difference of two perfect squares, A\({}^{2}\) - B\({}^{2}\) can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A\({}^{2}\) - AB + BA - B2 =

A\({}^{2} \)- AB + AB - B2 =

A\({}^{2}\) - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 1 is the square of 1

Check : x\({}^{2}\) is the square of x1

Factorization is : (3x + 1) • (3x - 1)

Final result :

(3x + 1) • (3x - 1)

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.

Given are the two coordinates to be plotted on a Cartesian plan -

(5, 4) , (3, 4).

The two given coordinate points are (5, 4) , (3, 4).

Refer to the graph attached. It shows both the points plotted.

Therefore, both the coordinate points are plotted on the cartesian graph.

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Answer:

\(Prediction = 35\)

Step-by-step explanation:

Given

The attached table

Required

Expected number of Daffodil when N = 150

First, we calculate the probability of having a Daffodil.

\(Pr = \frac{Daffodil}{Total}\)

This gives:

\(Pr = \frac{14}{14+10+24+12}\)

\(Pr = \frac{14}{60}\)

Simplify

\(Pr = \frac{7}{30}\)

When there are 150 flowers, the prediction of Daffodils is:

\(Prediction = Pr * N\)

\(Prediction = \frac{7}{30} * 150\)

\(Prediction = 7*5\)

\(Prediction = 35\)

After 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the after x times the snow left on the road is less than 1/2 inches

Each time, the snowplow removes 3/4 of the snow.

Then according to the problem:

24 - 3x/4 = 1/2

3x/4 = 24 - 1/2

3x/4 = 47/2

3x/2 = 47

x = 47(2)/3 = 94/3 times

Thus, after 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.

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The sample space for rolling two number cubes is shown below

1 2 3 4 5 6

1 1,1 1,2 1,3 1,4 1,5 1,6

2 2,1 2,2 2,3 2,4 2,5 2,6

3 3,1 3,2 3,3 3,4 3,5 3,6

4 4,1 4,2 4,3 4,4 4,5 4,6

5 5,1 5,2 5,3 5,4 5,5 5,6

6 6,1 6,2 6,3 6,4 6,5 6,6

Looking at the sample space, the outcomes where the sum is greater than 8 are

3, 6

4, 5

4, 6

5, 4

5, 5

5, 6

6, 3

6, 4

6, 5

6, 6

Thus, the correct answer is the last option

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option B: \(y=-5x-6\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}\)

⸻⸻⸻⸻

We are given the information of:

⸻⸻⸻⸻

\(\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}\)

⸻⸻⸻⸻

Option B should be the correct answer.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.