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3 years ago

1 point

Mathematics

1 answer:

Anika [276]3 years ago

7 0

Answer:

Step-by-step explanation:

$a_{n}= 4n + 4 \\\\a_{10}=4*10 + 4\\\\$

= 40 + 4

= 44

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Consider the graph shown below.

Svetach [21]

Answer:

10,5

Step-by-step explanation:

After a dilation of 5, it should become 10 and 5 because it was 2,1 before.

7 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!

Aleonysh [2.5K]

The answer is A, because 2.54 times 20 equals 50.8

5 0

3 years ago

Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to

Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

$\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24$

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

$\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}$

Hence, it would take 8 hours if all three paint together.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=9%20%5Cfrac%7B9%7D%7B10%7D%20%20%2B%202%20%5Cfrac%7B1%7D%7B4%7D%20%20%3D%20%20%5C%5C%20%206%20

frez [133]

Answer:

1. $445\frac{1}{2}$

2. $-1\frac{1}{12}$

3. $2\frac{11}{30}$

Step-by-step explanation:

1. $9\frac{9}{10} +2\frac{1}{4}$

I like to make it an improper fraction first.

$\frac{99}{10}+\frac{9}{4}$

Now take the LCM. The LCM is 20.

$\frac{198}{20} +\frac{45}{20}$

Now add them.

$\frac{8910}{20}$

Make this into a mixed number.

$445\frac{1}{2}$

That's your answer for number 1.

2. $6\frac{1}{4} -7\frac{1}{3}$

Do the same thing as the previous addition problem but subtract instead.

$\frac{25}{4} -\frac{22}{3}$

$\frac{75}{12} -\frac{88}{12}$

$-\frac{13}{12}=-1\frac{1}{12}$

$-1\frac{1}{12}$ is your answer for number 2.

3. $8\frac{2}{3}-6\frac{3}{10}$

$\frac{26}{3} -\frac{63}{10}$

$\frac{260}{30}-\frac{189}{30}$

$\frac{71}{30}=2\frac{11}{30}$

$2\frac{11}{30}$ is your answer for number 3.

I hope this helps! Let me know if you need help or if I got anything wrong :)

5 0

3 years ago

The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals

Citrus2011 [14]

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by $f(x)=-0.11x^2+2.2x+1$ . The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

$x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}$ .

In this scenario, the highest/lowest points is $c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise). Then, we can proceed as follows. [tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1$

We will complete the square for $x^2-20x$ . In this case b=-20, so

$f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1$

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

$f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12$

So, the highest point in the ball's trajectory is 12 feet.

5 0

4 years ago

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