**Answer:**

58.29 cm^2

**Step-by-step explanation:**

The **area of a trapezium** is **calculated** with the following **formula**:

[tex] \frac{a + b}{2} \times h[/tex]

(a: base, b: **base**, h: **height**)

[tex] \frac{ 7 + (10.4)}{2} \times (6.7) \\ \\ \frac{17.4}{2} \times (6.7)[/tex]

get rid of **fraction** by dividing (17.4) with 2

(17.4)÷2 = 8.7 multiply this with height

(8.7) × (6.7) = 58.29

The area of the given **trapezium **is 58.29 cm².

So, the area of the **trapezium**:

Solve as follows:

(a+b)/2 × h(7 + 10.4)/2 × 6.717.4/2 × 6.78.7 × 6.758.29 cm²Therefore, the area of the given **trapezium **is 58.29 cm².

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A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain or show your reasoning

If a rectangular prism has dimensions of 2cm by 2 cm by 5 cm, then the **surface area** of the rectangular prism is 48 centimeter square

**The length **of the rectangular prism = 2 cm

The width of the rectangular prism = 2 cm

The height of the rectangular prism = 5 cm

The surface area of the** rectangular prism** = 2(lw+lh+hw)

Where l is the length

w is the **width**

h is the** height **

Substitute the values in the equation

The surface area of the rectangular prism = 2(2×2+2×5+2×5)

= 2(4+10+10)

= 2×24

= 48 centimeter square

Hence, if a rectangular prism has dimensions of 2cm by 2 cm by 5 cm, then the surface area of the rectangular prism is 48 centimeter square

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Find the length of CD.express the awnser as a fraction times pie.

Given the figure of the circle B

the radius of the circle = r = BC = 9

the measure of the angle CBD = 40°

We will find the length of the arc CD

The length of the arc is given by the formula:

[tex]l=\theta\cdot r[/tex]where: θ is the central angle opposite to the arc measured in radians

so, we will convert the given angle from degree to radian

[tex]\theta=40\cdot\frac{\pi}{180}=\frac{2}{9}\pi[/tex]Substitute with the given values

so, the length of the arc =

[tex]l=\frac{2}{9}\pi\cdot9=2\pi[/tex]So, the answer will be:

**The length of the arc CD = 2π**

Write the equation in vertex form for the parabola with vertex (0, 6) and focus (0, 3).

Answer:

Step-by-step explanation:

the axis of the parabola is x=0So the parabola is of the form (x−0)2=4a(y−6)Now the length of latus rectum =4a=4× the distance between focus and vertex =4×3=12Hence the parabola is x2=−12(y−

0.103125 to the nearest integer

**⇒When we round to the nearest integer we are to round to the nearest whole**

**⇒We look at the first term after the comma which is in the tenths place.**

**⇒In this case it is 1 does it allow me to round up or down?**

**It allows me to round down meaning the integer will be 0**

O GRAPHS AND FUNCTIONSFinding values and intervals where the graph of a functioning is..

a.

From the graph we notice that when x=-1 the value of the function is zero; **therefore:**

**and it is not negative.**

b.

The function is positive when its graph is above the x-axis. We notice that this happens in two regions of the graph:

From -4 to -3

From -1 to 4

**Therefore, the function is positive in:**

c.

The function is zero when the graph intersect the x-axis; from the graph we have that t**he function is zero for:**

Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the same reading rate as Sam.

**Answer:**

The correct option is B

Leroy reads 22.5 pages in 30 minutes

At the rate of 3 pages in 4 minutes

**Explanation:**

Given that Sam reads 30 pages of books in 40 minutes, he reads at the rate of 3 pages in 4 minutes (3/4 = 0.75).

To know which of the options has the same rate as Sam's, we need to find which rate is equal to his'

**A. Francine reads 40 pages in 55 minutes**

**Rate = 40/55 = 8/11**

**B. Leroy reads 22.5 pages in 30 minutes**

**Rate = 22.5/30 = 0.75**

**C. Paul reads 150 pages in 3.25 hours. Since 3.25 hours = 195 minutes**

**Rate = 150/195 = 0.77**

**D. Bill reads 60 pages in 2 hours**

**Rate = 60/120 = 0.5**

Omg guys can y’all please help i’m begging

The **equation** of the function **g(x)** is **-√(x-7)**.

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Bags A and B each contain counters.

Bag A

60 counters

Each counter is green, blue or yellow

P(green counter from A) = P(red counter from B)

Work out the number of green counters in A.

Bag B

12 counters

9 blue and 3 red

**In probability, **A is 8 out of 16 and C is 3 out of 15.

**What is probability explain?**

Out of the 17 counters in the bag 3 are yellow , 6 are red and the rest i.e., 17–3–6 or 8 nos.are green.

When selected randomly once one counter the probability of selecting one is

A. green is 8 out of 17 or 8/17 ,

B. getting a red one is 6 out of 17 or 6/17.

C. getting a yellow is 3 out of 17.

This is when the counter is put back in the bag for selecting.

If the selected one is not put back remaing counters are less by one each time it's drawn and then the probability figure is one out of 16 in the second case and one out of 15 for the third draw ime., then A is 8 out of 16 and C is 3 out of 15.

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Cuál es la probabilidad de obtener exactamente 5 caras en 10 lanzamientos de una moneda?

The **probability **of getting exactly 5 heads in 10 tosses of a coin 24.6%

**What is Probability ?**

The area of mathematics known as **probability **deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's **probability **is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Ten times are spent flipping coins.

Total number of results = 2¹⁰ = 1024

C(10, 5) = 252 is the total number of favorable outcomes.

**Probability **is

252/1024,

which equals :

=0.24, or

=24.6%.

Therefore, the chance of getting exactly 5 "heads" out of a possible 10 is 0.246, or 24.6%.

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Hello! Please take a look at the picture to see the questions, thank you!

In the question, we are asked to find the degree and the leading coefficient of the polynomial below

[tex]f(x)=3x^4+2x^3+5x^2+7[/tex]**Explanation**

The degree of the polynomial is the highest of all the degrees that make up the polynomial. Since each term in the polynomial has a degree we will pick the largest one.

Also, the leading coefficient is the coefficient of the term with the largest degree. Using these concepts, we can derive our answer as.

**Answer:**

**Option A**

The factors of 6 are also the factors of which number? A 5 C 20 B 10 D 30

**Solution:**

**Factors of a number are defined as numbers that divide another number evenly or exactly without giving any remainder.**

**Hence,**

The factors of 6 are the numbers that can divide 6 without any remainder.

[tex]\text{Factors of 6 =1,2,3,6}[/tex][tex]\begin{gathered} \text{Factors of 5=1,5} \\ \text{Factors of 20=1,2,4,5,10,20} \\ \text{Factors of 10=1,2,5,10} \\ \text{Factors of 30=1,2,3,5,6,10,15,30} \end{gathered}[/tex]From the above, we can deduce that the factors of 6 are also the factors of 30.

The corr

Find the area of the following figure. Show your work.area of odd shapes.

To find the area of the complex figure, divide it into simpler figures and the areas of these. Then find the sum of these areas.

Now, find the area of each of the simpler figures, in these case, the rectangles:

[tex]\begin{gathered} A=b\cdot h \\ A_A=7\cdot3=21 \\ A_B=6\cdot2=12 \\ A_C=7\cdot2=14 \\ A_D=5\cdot3=15 \\ A_E=3\cdot1=3 \end{gathered}[/tex]Finally, find the sum of all these areas to find the area of the figure:

[tex]A_F=21+12+14+15+3=65[/tex]The area of the figure is 65.

13 (6x – 5) – x = 13 – 2(x + 1) find x

**Answer:**

x = 76/79 or 0.962

**Step-by-step explanation:**

The graph of f(x) = x^3 is stretched vertically by a factor of 6. The graph

is then translated 9 units to the right and 3 units down. Write the equation of the transformed function.

**Answer:**

Transformed equation: 6(x-9)³ - 3

**Step-by-step explanation:**

**Answer:**

**6(x - 9)^3 - 3**

**Step-by-step explanation:**

1. Vertical Stretching : f(x) -> g(x): [tex]g(x) = 6x^{3}[/tex]

2. Horizontal Move: g(x) -> h(x): [tex]h(x) = 6{(x - 9)}^{3}[/tex]

3. Vertical Move: h(x) -> F(x): [tex]F(x) = 6{(x - 9)} ^{3} - 3[/tex]

Use the Pareto chart to tell the percent of students that enrolled in a private 4 year college.

**20%**

**1)** Analyzing that Pareto Chart, we can tell that the percentage of students enrolled in a private-4 year college is indicated by the height of the bar and the corresponding value for its vertical axis

**2)** Therefore, the answer is ** 20%**

Artrigerator contains 5 cans of diet soda and 8 cans of regular soda. If three cans of soda are randomly selected without replacement, determine the probability that all can selected are diet soda. Use combinations to determine theprobabilityThe probability that all can selected are diet soda is(Type an integer or a simplified fraction)

The total number of cans in the refrigerator is 5 + 8 = 13

The number of diet soda cans is 5 while the number of regular soda cans is 8

If three cans are selected, the probability that the can is a diet soda can is

5/13

Since it was not replaced, the number of diet soda cans left would be 4 and the total number of cans left would be 12. The probability that the next selected can is a diet can is

4/12 = 1/3

Since it was not replaced, the number of diet soda cans left would be 3 and the total number of cans left would be 11. The probability that the next selected can is a diet can is

3/11

Thus, the probability that the three selected cans are diet soda cans is

5/13 * 1/3 * 3/11 = 5/143

= 0.035

**the probability that the three selected cans are diet soda cans is 0.035**

da can

r

Can someone please explain to me where I did my math wrong and correct me. The answer is supposed to be $1065.00

The problem says: Lonnie Flanagan's weekly gross pay is $1250. Each week she has $64.37 in deductions, plus state tax of 2% of her gross pay, social security taxes of 6.2%, and Medicare taxes of 1.45%. What is her net pay?

I did 1250 - 64.37 = 1185.63

1185.63 (2%) = $23.71 State income Tax

1185.63 (6.2%) = $73.51 Social Security Tax

1185.63 (1.45%) = $17.19 Medicare tax

Then I added the 3 together.

$23.71 + $73.51 + $17.19 = $114.41

Then I subtracted $113.41 from $1250.

1250 - 113.41 = $135.59 net pay.

What did I do wrong?

The **net pay** for **Lonnie** Flanagan is $1065.

From the information, **Lonnie** weekly gross pay is $1250 and each week she has $64.37 in deductions, plus state tax of 2% of her gross pay, social security taxes of 6.2%, and Medicare taxes of 1.45%.

Her net pay will be:

= **Gross** pay - Deduction - Tax - Social security - Medicare

= $1250 - $64.37 - (2% × $1250) - (6.2% × $1250) - (1.45% × $1250)

= $1250 - $64.37 - $25 - $$77.50 - $18.125

= $1065

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I need help can someone help me?

**The sum **[tex]S_4[/tex]** = 80**

**How is the summation calculated?**

[tex]S_4= \sum_{k=1}^{4} 2(3^{n-1}) \\\\= 2 \sum_{k=1}^{4} (3^{n-1})\\\\=2[3^{1-1}+3^{2-1}+3^{3-1}+3^{4-1}]\\\\=2[3^{0}+3^{1}+3^{2}+3^{3}]\\\\=2[1+3+9+27]\\\\=2 [40]\\\\=80[/tex]

**What is summation?**

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(-5, 3) slope -4 into slope intercept form

The equation using **slope intercept form** would be...

[tex]y=-4x-17[/tex]

Hope this helps!

Jose made $143 for 11 hours of work.

At the same rate, how many hours would he have to work to make $117?

9 hours.

To find the amount of money he makes for 1 hour, divided 143 by 11. This gives us 13. So to find out how long it would take him to make 117, do 117 divided by 13. This gives us 9. It would take him 9 hours to make 117.

To find the amount of money he makes for 1 hour, divided 143 by 11. This gives us 13. So to find out how long it would take him to make 117, do 117 divided by 13. This gives us 9. It would take him 9 hours to make 117.

**Answer:**

9 hours

**Step-by-step explanation:**

When a number is divided by 5, the result is 50 less than if the number had been divided by $6$. What is the number?

IT SAYS 50 LESS NOT GREATER

The **number** will be 1500

Given in the question:

A number is **divided** by 5, the result is 50 less than

and, if the number had been divided by $6$.

To find the number.

Now, According to the question:

Let the number be x

x is divided by 5 = x/5

also, The number is divided by 6 = x/6

Here, The **expression** will be:

x/5 - 50 = x/6

30(x/5 - 50) = 30(x/6)

6x - 1500 = 5x

1500 = x

Hence, The **number** will be 1500 .

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Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1), L (-2,2), and M (3,-1). Round your answer to two decimal places.

**PERIMETER:**

You can calculate the perimeter of a triangle knowing the coordinates, by calculating the distance between every point, as follows:

[tex]\bar{KL}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Where x1=-4, y1=-1, x2=-2 and y2=2, replace these values:

[tex]\begin{gathered} \bar{KL}=\sqrt[]{((-2)-(-4))^2+(2-(-1))^2} \\ \bar{KL}=\sqrt[]{(2)^2+(3)^2} \\ \bar{KL}=\sqrt[]{4+9}=\sqrt[]{13}=3.61 \end{gathered}[/tex]Now, you have to do the same for the other segments, let's continue with LM:

[tex]\begin{gathered} \bar{LM}=\sqrt[]{(x_3-x_2)^2+(y_3-y_2)^2} \\ x_3=3\text{ and }y_3=-1\text{ by replacing:} \\ \bar{LM}=\sqrt[]{(3_{}-(-2))^2+((-1)-2)^2} \\ \bar{LM}=\sqrt[]{(5)^2+(-3)^2} \\ \bar{LM}=\sqrt[]{25+9}=\sqrt[]{34}=5.83 \end{gathered}[/tex]Same for segment KM:

[tex]\begin{gathered} \bar{KM}=\sqrt[]{(x_3-x_1)^2+(y_3-y_1)^2} \\ \bar{KM}=\sqrt[]{(3-(-4))^2+((-1)-(-1))^2} \\ \bar{KM}=\sqrt[]{(7)^2+(0)^2} \\ \bar{KM}=\sqrt[]{49+0^{}}=\sqrt[]{49}=7 \end{gathered}[/tex]The perimeter can be calculated as KL+LM+KM:

[tex]\begin{gathered} P=\bar{KL}+\bar{LM}+\bar{KM}=3.61+5.83+7 \\ P=16.44 \end{gathered}[/tex]**AREA:**

The area can be calculated by using the next formula:

[tex]A=\frac{1}{2}\mleft\lbrace\lbrack(x_1\cdot y_2)+(x_2\cdot y_3)+(x_3\cdot y_1)\mright]-\lbrack(x_1\cdot y_3)+(x_3\cdot y_2)+(x_2\cdot y_1)\rbrack\}[/tex]Then, you have to replace the values to find the area:

[tex]\begin{gathered} A=\frac{1}{2}\lbrace\lbrack((-4)_{}\cdot2)+((-2)\cdot(-1))+(3\cdot(-1))\rbrack-\lbrack((-4)\cdot(-1))+(3\cdot2)+((-2)\cdot(-1))\rbrack\} \\ A=\frac{1}{2}\lbrace\lbrack(-8)+(2)+(-3)\rbrack-\lbrack(4)+(6)+(2)\rbrack\} \\ A=\frac{1}{2}\lbrace\lbrack-9\rbrack-\lbrack12\rbrack\} \\ A=\frac{1}{2}\mleft\lbrace\lvert-21\rvert\mright\rbrace \\ A=\frac{21}{2}=10.50 \end{gathered}[/tex]Find the value of x that will make A||B5x + 20A-В.3x + 60x= [?]Enter

**ANSWER:**

The value of x is 20

**STEP-BY-STEP EXPLANATION:**

By properties of the angles we know that these angles are equal, since they are alternative external angles. Thanks to that we can do the following equality to calculate the value of x:

[tex]5x+20=3x+60[/tex]Solving for x:

[tex]\begin{gathered} 5x-3x=60-20 \\ 2x=40 \\ x=\frac{40}{2} \\ x=20 \end{gathered}[/tex]Given the equation 5X-10=50 which properties will be used to solve for XA. Adition and subtractionB. Subtraction and divisionC. Adition and division D. Subtraction and Multiplication

Let's solve for x and see what properties are used

First, **add** 10 to both sides of the equation

Now, **divide** by 5 on both sides of the equation

Therefore, the correct answer is C. Adition and division

5) 13% of score

On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for the

blueprint is 1 inch for every 7 feet, then what is the area of the actual living room?

A. 15 ft²

C. 735 ft²

B.

D.

105 ft2

56 ft²

Based on the **dimensions **of the **blueprint **of the house, the **area **of the actual living room can be found to be 735 ft²

The first thing to do is to convert the **dimensions **on the **blueprint **to their actual figures.

If 1 inch on the blueprint is 7 feet, then the actual dimensions are:

= 3 inches x 7

= 21 feet

Dimension B:

= 5 inches x 7

= 35 feet

The **area **can then be found by:

= Dimension A x Dimension B

= 21 x 35

= 735 ft²

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Which is the better buy: 18 oz. of rice for $6.30, 12 oz. of rice for $4.56, or 7 oz. of rice for $2.59?

**Answer:**

18oz for 6.30 is the cheapest

**Step-by-step explanation:**

0.35$ per oz

0.38$ per oz

0.37$ per oz

:]

If the events have the same theoretical probability of happening, then they are called

**Answer:7937**

**Step-by-step explanation:7596**

A train travels from City A to City B. The table below shows the distance and

the amount of time it takes on the train.

Distance (km)

6

9

14

Time (in minutes)

2 3 7

O The train does not always go the same distance each minute.

O The train appears to go the same distance each minute.

Predicted distance traveled in 9 minutes: km

Yes, The **train** does not always go the same **distance** each minute.

Given,

A **train** travels from City A to City B.

The distance and the amount of time it takes on the train is

Distance (km) Time (in minutes)

6 2

9 3

14 7

Now According to the question:

Does the train go the same distance each minute?

In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.

**Average speed** = total distance / total time

Hence Yes, The **train** does not always go the same **distance** each minute.

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Given the definitions of f(x) and g(x) below, find the value of (gof)(9). f(x) = -x + 11 g(x) = 3x2 - x + 14

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = -x + 11

g(x) = 3x² - x + 14

(gof)(9) = ?

Step 02:

(gof)(x) = 3(-x+11)² - (-x+11) + 14

= 3(x² + 2(-x)(11) + 121) + x - 11 + 14

= 3(x² - 22x + 121) + x - 11 + 14

= 3x² - 66x + 363 + x - 11 + 14

= 3x² - 65x + 366

(gof)(9) = 3(9)² - 65(9) + 366

= 3(81) - 585 + 366

= 243 - 585 + 366

= 24

**The answer is: **

**(gof)(9) = 24 **

Garcia Co. owns equipment that cost $81,600, with accumulated depreciation of $43,200.

Record the sale of the equipment under the following three separate cases assuming Garcia sells the equipment for (1) $50,600 cash, (2) $38,400 cash, and (3) $33,300 cash.

(1) $50,600 cash implies that $50,600 - $38,400 = $12,200

Hence gets **gain **of $**12,200**.

(2) $38,400 cash implies that $38,400 - $38,400 = $0

Hence **No profit no loss**.

(3) $33,300 cash implies that $33,300 - $38,400 = - $5,100

Hence **loss **of $**5,100**.

**Depreciation **is the gross reduction in the book value of an asset due to **regular **use or **wear **and tear.

A **capital gain **occurs when Garcia Co. receives an amount in excess of the book value of the equipment.

If Garcia Co. receives an amount **equal **to the book value of the equipment, no profit or loss will result from the disposal.

If Garcia Co. receives an amount **below **the book value of the equipment, it will experience a capital **loss**.

In the given question cost of equipment is $81,600 with accumulated depreciation of $43,200 so that the **book value **will be

$81,600 - $43,200 = $**38,400**.

Now (1) $50,600 cash implies that $50,600 - $38,400 = $12,200

Hence gets gain of $12,200.

For (2) $38,400 cash implies that $38,400 - $38,400 = $0

Hence No profit no loss.

For(3) $33,300 cash implies that $33,300 - $38,400 = - $5,100

Hence loss of $5,100.

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the bearing of L from Q is 90 what is the bearing of Q for L
Question 24Choose the best answer for the underlined word.Raychawn says that he has problems taking notes because they all talk too fast.Group of answer choicesA. theyB. the notesC. the studentsD. the instructorsQuestion 25Choose the correct answer for the underlined word or words.Why do it happen that every time I drop my toast, it fall on the buttered side?Group of answer choicesA. do... drop... fallsB. does... drop... fallsC. does... drops... fallsD. does... drop... fallQuestion 26Choose the correct answer which corrects the following sentence without changing its meaningI want to get a well-paying job. Which is the reason I am attending college.Group of answer choicesA. I want to get a well-paying job. Which is the reason I am attending college.B. I want to get a well-paying job, attending college.C. I want to get a well-paying job, which is the reason I am attending college.D. I am attending college. Why? To get a well-paying job.
Cell A and cell B are both in the final stages of cell division. Which one represents budding?CELL AOnly cell ACELL BO Both cell A and cell BO Neither cell A nor cell BO Only cell BQuestion 9
what emerging approach allows administrators to manage a network via a controller that does not require physical access to all the network devices?
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