PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2
PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2
PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2

Answers

Answer 1

Problem 1

Answer:  C) 132.6

--------------------

Explanation:

a1 = 1.7 = amount of concrete for the first step

a4 = x = amount of concrete for the fourth step

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1 + an)

S4 = (4/2)*(a1 + a4)

S4 = 2(1.7+x)

S4 = 2x+3.4

S4 = 17

2x+3.4 = 17

2x = 17-3.4

2x = 13.6

x = (13.6)/2

x = 6.8

We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d

an = nth term of an arithmetic sequence

an = a1 + d(n-1)

a4 = a1 + d(4-1)

a4 = a1 + 3d

6.8 = 1.7 + 3d

6.8-1.7 = 3d

5.1 = 3d

(5.1)/3 = d

1.7 = d

d = 1.7

Coincidentally, the common difference is the same as the first term. This won't always happen.

Now we can compute the 12th term

an = a1 + d(n-1)

a12 = 1.7 + 1.7(12-1)

a12 = 20.4

which is then used to find the sum of the first 12 terms

Sn = (n/2)*(a1 + an)

S12 = (12/2)*(a1 + a12)

S12 = 6(1.7 + 20.4)

S12 = 132.6

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

Problem 2

Answer: C) [tex]x^2 + (y-10)^2 = 225\\\\[/tex]

--------------------

Explanation:

The center is (h,k) = (0,10) which is where the nozzle is located.

The distance from (0,10) to (0,25) is 15 units, so r = 15.

Also, the distance from (0,10) to (0,-5) is also 15 units.

Plug those values into the equation below.

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\[/tex]

That equation represents the boundary of the circle, which is where the water can reach.

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

Problem 3

Answer:  B) 2.336 ft

--------------------

Explanation:

a1 = height 1st bounce = 6.7 fta2 = height 2nd bounce = 81% of a1 = 81% of 6.7 = 0.81*6.7 = 5.427a3 = height 3rd bounce = 81% of a2 = 81% of 5.427 = 0.81*5.427 = 4.39587

Or note that,

a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 =  4.39587

which must mean,

a4 = a1*(0.81)^3a5 = a1*(0.81)^4a6 = a1*(0.81)^5

This is based off the idea that [tex]a_n = a(r)^{n-1}[/tex]

So,

a6 = a1*(0.81)^5

a6 = 6.7*(0.81)^5

a6 = 2.33614554867

a6 = 2.336


Related Questions

What is the volume of the following cylinder?



150.72 in. 3
301.44 in. 3
75.36 in. 3
602.88 in. 3

Answers

Answer:

150.72 in³

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Now,

Volume of cylinder = πr²h

=> 3.14 × (4)² × 3

=> 3.14 × 16 × 3

=> 150.72 in³

Answer:

The correct answer is option 150.72 in³.

Step-by-step explanation:

Given :

✧ Diameter of cylinder = 8 in.✧ Height of cylinder = 3 in.

To Find :

✧ Volume of cylinder

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}[/tex]

»» r = Radius »» D = Diameter »» V = Volume »» h = height

Solution :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}[/tex]

Hence, the radius of cylinder is 4 in.

[tex]\rule{300}{1.5}[/tex]

Now, finding the volume of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of cylinder is 150.72 in³.

[tex]\rule{300}{1.5}[/tex]

Write each quotient as a single power.

Answers

[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]

[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]

[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]

ok done. Thank to me :>

y^ –7x^3 zx^–1y^7 z^–4 simplified

Answers

Answer: -7x^4 y - 7zx + y - 4

Step-by-step explanation:

What is the change in elevation for
(3)(4)(-3.5)

Answers

Hey there!

(3)(4)(-3.5)

= 12(-3.5)

= -42

Therefore, your answer SHOULD be: -42

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

HELP, pANYONE PLEASE !!!!

Answers

Answer:

A

Step-by-step explanation:

The line starts at -35, meaning that she starts the ascent 35 meters below the surface and goes upwards over time.

Answer:

a

Step-by-step explanation:

the starting point of the graph or also known as the y axis starts at -35

A car travels at an average speed of 60 km/h for 2.1 hours.
How far did the car travel in km?

Answers

Answer:

15 km

Step-by-step explanation:

What is the y-intercept of the line?
1
-2
1/2
0

Answers

Answer: 1

The y inter is the line going vertically
So just find where the line meets the graph

Answer:

The y-intercept is 1.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, so from looking at the graph, we can see that it crosses at (0,1), giving you a y-intercept of 1.

Pls help asap thank you

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?

Answers

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

Plz help me NOW I will mark you brainliest

Answers

Let x be the percentage of p.Therefore, [tex]m\% \: \: of \: \: n = x\% \: \: of \: \: p \\ = > \frac{mn}{100} = \frac{px}{100} \\ = > mn = \frac{px}{100} \times 100 \\ = > mn = px \\ = > \frac{mn}{p} = x[/tex]

Answer:

[tex] \frac{mn}{p} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?

QUICK

Answers

Answer:

$10.26

Step-by-step explanation:

$4.98x0.03= 0.1494,

4.98+0.1494= 5.13

2; 5.13+5.13= 10.26

Answer:

$10.26

Step-by-step explanation:

$4.98*103/100=x

x=5.1294

2 pounds=2x=$10.2588=$10.26


Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.

Answers

Answer:

B

Step-by-step explanation:

Convert 39/4 into a mixed number.

Answers

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

Answer:

9 3/4

Step-by-step explanation:

sin^2 θ - secθcosθ + cos^2 θ =

Answers

Answer:

0

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

B = {x|x ∈ N and 1 ≤ x < 9}

Answers

Answer:

Set membership x ∈ X means x is an element of the set X. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y .

Step-by-step explanation:

Carry on learning

10.) - 3x - y = - 36
4x + 4y = 72

Answers

Ok done. Thank to me:>

Which of the following equations represents the graph shown? ​

Answers

Answer:

F(x)=-x+2

Step-by-step explanation:

equation

mx+b

m= slope

x

b = y-intercept

Rewrite in standard form.
4y = 3 - 4/5x

Answers

Answer:

−17x+10y=3

Step-by-step explanation:

What is equivalent to 6x=3+4=5+3x+4?

Answers

Answer: Can I see an image of the word problem?

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $10.On Saturday, Rob earned $45 babysitting. How much money did he save?

Answers

Answer:

$30

Step-by-step explanation:

Okay, so we can solve this problem using fractions; $10 saved for every $15 made..

10/15=x/45

Using cross multiplication we can conclude 10*45=15x

450=15x

x=30

Hope this helps :)

The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.

Answers

[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]

What is 27.6 / 8???????????

Answers

Answer:

seriously??

have you heard of calculators lol

the answer is 3.45

These are so random? I don’t know why I have to put these? Ignore them

Answers

What are so random? You dont know why you have to put what? Lol XD

Please someone help me i dont want fail

Answers

Answer:

D

Step-by-step explanation:

(point D)

Answer:

Point D

Step-by-step explanation:

5 units right on the x axis, 3 units down on the y-axis.

can you guys help me plz

Answers

Answer:

1) x>1

2) x<6

3) x>34

4) x>-4

5) x<2

6) x>-36

7) x<=4

8) x>-2

9) x>=2

10) x>14

Find an equation in slope-intercept form of the line satisfying the specified conditions.
Through (8,-3), perpendicular to -6x + 7y=-62.

Answers

Answer:

[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

-6x +7y= -62

Rewriting this equation into the slope-intercept form:

7y= 6x -62

[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]

The product of the slope of 2 perpendicular lines is -1.

Let the slope of the unknown line be m.

[tex]m( \frac{6}{7} ) = - 1[/tex]

[tex]m = - 1 \div \frac{6}{7} [/tex]

[tex]m = - \frac{7}{6} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{7}{6} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation.

When x= 8, y= -3,

[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]

[tex] - 3 = - \frac{28}{3} + c[/tex]

[tex]c = \frac{28}{3} - 3[/tex]

[tex]c = \frac{19}{3} [/tex]

[tex]c = 6 \frac{1}{3} [/tex]

Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].

i borrowed 500 rupess from each of my two friends 250+250 = 500 i bought a shirt of 450 that is 500-450= 50 i lost 30 rupees that is 50-30 = 20 i returned 10 rupees to my one friend and 10 rupees to the other to whom i borrowed 250 and 250 now as i gave them 10 and 10 back now i owe them 240 and 240 if we calculate 240+240= 480+30 that i lost equals to 240+240+30 = 510 when i borrowed only 500 where from these 10 rupees came..​

Answers

Do it yourself because I am not going to help you

HELP PLSSS

Use the commutative
property to make an
equivalent
expression.
4+m=?

A. 4-m
B. m+4

Answers

Answer:

B. m+4

Step-by-step explanation:

You are just writing the same equation but backwards so that the numbers still stay the same as well as the answer.

Answer: A

Step-by-step explanation:

The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

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