Number 11

Since the auditorium can hold 600 and the student body will be divide by four parts

The answer is

x ≤ 2400

Since the auditorium can hold 600 and the student body will be divide by four parts

The answer is

x ≤ 2400

HELP HELP JIMTHOMPSON5910

Note: I had to write FA in that order, and not the other way around, due to the filter.

Part 1

There are **2 answers** and they are

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

Explanation:

For any of the answer choices we are involving the following segments

ABFABCFGSo we're only involving four segments. They are paired up to form fractions which are then set equal to one another. Notice how segment FA is smaller than AB, and how they correspond together. Going from FA to AB means go from small to big. If we write the ratio FA/AB, then can think of it as small/big.

Also note that FG is smaller than BC, and both segments also correspond as they are both going downhill from left to right. So we can write FG/BC to set equal to the first fraction we set up.

Overall, the proportion **FA/AB = FG/BC is one valid answer.**

**The other valid answer is AB/FA= BC/FG**. This equation is formed by applying the reciprocal to both sides of the first equation mentioned.

We can rule out choice 1 because FA/AB is small/big, but BC/FG is big/small. The two don't match up. Choice 4 is ruled out because AB does not correspond to FG.

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

Part 2

Answer: 27------------------

Explanation:

Through similar ideas mentioned in part 1, we can form this proportion

FA/AB = AG/AC

we have the format small/big = small/big

We are given these values either in word form or through the diagram

FA= 15AB = FA+FB = 15+30 = 45AC = 81Plug in those given values and isolate AG

FA/AB = AG/AC

15/45 = AG/81

15*81 = 45*AG .... cross multiply

1215 = 45AG

45AG = 1215

AG = 1215/45 .... divide both sides by 45

**AG = 27
**

**Segment AG is 27 inches long.**

Henry is mixing concrete.To make

concrete he needs to mix cement,

sand and gravel in the ratio 4:3:1 by

weight. Henry needs to make 120 kg

of concrete. He has 65 kg of cement,

40 kg of sand and 15 kg of gravel.

Which ingredient is Henry short of?

**Answer:**

Sand

**Step-by-step explanation:**

120kg = (4 + 3 + 1) units = 8 units

1 unit = 120 ÷ 8 = 15kg

Calculating required quantities:

Cement: 4 units = 4(15) = 60kg

Sand: 3 units = 3(15) = 45kg

Gravel: 1 unit = 1(15) = 15kg

Comparing these values to those given in the question, he is short of sand.

URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED

**Answer:**

3/2

**Step-by-step explanation:**

**Answer:**

[tex] \frac{3}{2} [/tex]

Please help me with this

**Answer:**

πr2

**Step-by-step explanation:**

**Answer:**

i think the answer is

**Step-by-step explanation:**

πr^2

can someone help me solve for x

**Answer: Possibly -4**

**Step-by-step explanation:**

But wait for others to check I’m not fully sure

Yeah it’s -4. Have a good day.

What is 7845 times 3000^[2] divided by 90+3^85×(2)

**Answer: 7.1835091**

**Step-by-step explanation:**

Two analysts are going to compute confidence intervals for the unknown population mean lifetime of batteries being used in a particular brand of cellphones. The 1st analyst selects a random sample of batteries and computes a 95% confidence interval that has a margin of error of .85 hours. The 2nd analyst selects a random sample of batteries and computes a 99% confidence interval that has a margin of error of .70 hours. Both samples have the same standard deviation of 4 hours. Which analyst will have a wider interval

**Answer:**

Due to the higher margin of error, the 1st analyst will have a wider interval.

**Step-by-step explanation:**

**Width of a confidence interval:**

The width of a confidence interval is twice its margin of error, meaning that the sample with the largets margin of error will be wider.

**1st analyst:**

Margin of error of 0.85, so width of 0.85*2 = 1.7

**2nd analyst:**

Margin of error of 0.7, so width of 0.7*2 = 1.4

**Which analyst will have a wider interval?**

Due to the higher margin of error, the 1st analyst will have a wider interval.

PLZ HELP I SHALL GIVE BRAINLIESST

answer: 1180 m

fjdjdjdjdjcj random letters, work in picture

fjdjdjdjdjcj random letters, work in picture

**Answer:**

610m^2

**Step-by-step explanation:**

break the polygon into two rectangles as shown in attachment

I have labeled the new length A

A = 50 - 18

A = 32 m

area of rectangle 1 = l x w

= 5 x 32

= 160m^2

area of rectangle 2 = l x w

= 18 x 25

= 450 m^

area of polygon = rectangle 1 + rectangle 2

= 160 + 450

= 610m^2

I need help to find the value of X?

9514 1404 393

**Answer:**

x = 60

**Step-by-step explanation:**

The angle x is half the sum of the intercepted arcs:

x = (40 +80)/2

** x = 60**

A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.(b) Write down an integral for the fluid force on the side of the tank.(c) How would your answer to part (a) change if the tank was on its side

**Answer:**

a. 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

b. 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

c. 99840π lb/ft-s²∫₀⁶rdr

**Step-by-step explanation:**

**.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.**

The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdy

W = ∫ρA([5 + 4] - y)gdy

W = ∫ρA(9 - y)gdy

W = ρgA∫(9 - y)dy

W = ρgπd²/4∫(9 - y)dy

we integrate W from y from 0 to 5 which is the height of the tank

W = ρgπd²/4∫₀⁵(9 - y)dy

substituting the values of the other variables into the equation, we have

W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy

W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

**.(b) Write down an integral for the fluid force on the side of the tank**

Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)

The differential area on the side of the tank is given by

dA = 2πrdy

So. F = ∫PdA

F = ∫ρg(5 - y)2πrdy

Since we are integrating from y = 0 to y = 5, we have our integral as

F = ∫ρg2πr(5 - y)dy

F = ∫ρgπd(5 - y)dy since d = 2r

substituting the values of the other variables into the equation, we have

F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy

F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

**.(c) How would your answer to part (a) change if the tank was on its side**

The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh where r = radius of tank, d = diameter of tank = 12 ft. and h = height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdr

W = ∫ρAhgdr

W = ∫ρ(2πrh)hgdr

W = ∫2ρπrh²gdr

W = 2ρπh²g∫rdr

we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft

So,

W = 2ρπh²g∫₀⁶rdr

substituting the values of the other variables into the equation, we have

W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr

W = 99840π lb/ft-s²∫₀⁶rdr

Can someone help a friend

**Answer:**

acute triangle

**Step-by-step explanation **

**MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZ**

If you rotated the shape around the line, which three-dimensional figure would be formed?

O A cone

O B. sphere

O C. cylinder

D. pyramid

**Answer:**

c cylinder

**Step-by-step explanation:**

Cone with a 3 dimensional figure

At the city Museum child admission is $6.20 an adult admission is $9.90 on Sunday 142 tickets were sold for a total sales of $1183.80 how much adult tickets were sold that day

**Answer:**

82

**Step-by-step explanation:**

Set the number of adult tickets sold as x. Then, the number of tickets for children would be 142-x

The total cost of all the tickets would be:

6.2(142 - x) + 9.9(x) = 1183.80

Simplify and solve

3.7x + 880.4 = 1183.8

3.7x = 303.4

x = 82

So, the answer is 82 tickets.

Osa is trying to estimate V8. So far she has 2.8, but she wants one more digit to make it more accurate. What value would you add to Osa's estimate of V8? How can you tell that your estimate is more accurate than Osa's

[tex] \sqrt{8} [/tex]

[tex]2.8[/tex]

?

The rating is v8 12 for this question

Please help me with my math guys really need it

**Answer:**

The answers are given in the pictures. One of them was an opinionated question, so you can just put whatever you want there. I put my opinion just in case.

**Step-by-step explanation:**

If tan θ=1/4 and cos θ≤0, find the exact value of sin x

If you can answer this soon that would be great.

**Answer:**

**Step-by-step explanation:**

Tan(theta) = Sin(theta) / cos(theta)

1/4 = sin(theta) / sqrt(1 - sin^2(theta) ) Cross multiply

sqrt(1 - sin^2(theta)) = 4*sin^2(theta) Square both sides.

1 - sin^2(theta) = 16 * sin^4 (theta) Transfer the left side to the right side.

0 = 16 sin^4(theta) + sin^2(theta) - 1

Use the quadratic formula to find a value for sin^2(theta)

a = 16

b = 1

c = - 1

I'll leave solving the quadratic to you.

There are two answers

sin^2(theta)= .22069

The other root is - 0.28 which you cannot use.

Sin(theta) = +/- 0.4698

Cos(theta) is < 0 in quads 2 and 3

So sin(theta) is positive in quad 2

and sin(theta) is minus in quad 3

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4

**Answer:**

[tex]x < -4[/tex]

[tex]-4 > x[/tex]

**Step-by-step explanation:**

**Given**

**Description of number line**

Range: -6 to 2

Open circle on -4

Left shaded

**Required**

Select the number line

From the question, we understand that the left side of the number line is shaded.

This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]

**Also, the open circle on -4 means that we discard **[tex]\le[/tex]**.**

So, the inequality is:

[tex]x < -4[/tex]

**The opposite of the above inequality is:**

[tex]-4 > x[/tex]

**Answer:**

A, D.

**Step-by-step explanation:**

good luck with edge :)

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answer:

A

Step-by-step explanation:

**Answer:**

it is A because the shape is the same and is just facing a different way

**Step-by-step explanation:**

Solve this system of linear equations. Separate

the x- and y-values with a comma.

-2x = 8 - 6y

-15x = 21 - 6y

**Answer:**

Your solution is (-1, 1).

**Step-by-step explanation:**

-2x = 8 - 6y

-15x = 21 - 6y

Let's solve this through elimination.

Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the -6y's a positive by multiplying each term in the equation by -1.

-15x = 21 - 6y

-1(-15x = 21 - 6y)

15x = -21 + 6y

Now we have a new equation in our system.

-2x = 8 - 6y

15x = -21 + 6y

Now, eliminate by performing each action given by the terms.

-2x = 8 - 6y

15x = -21 + 6y

___________

13x = -13

Divide both sides by 13 to isolate x.

x = -1

Now that we know x, plug it back into one of the original equations to find y.

-2x = 8 - 6y

-2(-1) = 8 - 6y

Multiply.

2 = 8 - 6y

Subtract 8 from both sides.

-6 = -6y

Divide both sides by -6.

y = 1

Your solution is (-1, 1).

Check your answer by plugging both values into one of the original equations.

-15x = 21 - 6y

-15(-1) = 21 - 6(1)

Multiply.

15 = 21 - 6

Add 6 to both sides.

15 = 15

Your answer is correct.

Hope this helps!

**Answer:**

(-1,1)

**Step-by-step explanation:**

-2x = 8 -6y *

-15x = 21 - 6y

Solve for -6y:

-6y = -8 - 2x *

-15x = 21 - 6y

Substitute the given value of 6y into second equation, you get:

-15x = 21 -8 - 2x

Solving this equation for x gets you:

x = -1

Substitute this value (x = -1) into the equation (-6y = -8 - 2x):

-6y = -8 - 2x (-1)

This provides y:

y = 1

1 +1

Deedederffetfrerggrrrggtrrttt

**Answer:**

11 or 2, it depends on how you think abt it

**Answer:**

2

Deedederffetfrerggrrrggtrrttt

19 less than 28￼

Write as a algebraic expression

Answer :

Choice A ) 28 - 19

Choice A ) 28 - 19

**Answer:**

A

**Step-by-step explanation:**

A 40-inch piece of rope is cut into 4 equal pieces. How long is each piece in feet?

**Answer:**

10!

**Step-by-step explanation:**

Because 40*10= 4

and we all know 4/10=40 so there you go! Go succeed!

**Answer: 5/6**

**Step-by-step explanation:**

If you chose \(\frac{5}{6}\) foot, you are correct. If you chose 10 feet, you forgot to convert inches to feet. If you chose 1 foot, you thought that there were 10 inches in a foot. If you chose \(\frac{1}{10}\)foot, you wrote 1 over the number of inches because you were unsure how to write fractions in terms of feet.

A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8

inches. What is the height of the actual house?

**Answer:**

scale = 1 in: 5 ft

= 1inch x 5 5/8 = 5.625

5 ft x 5 5/8 28.125 ft

The actual height of the house is **28.125 ft**

Solve for z.

z

7

= 8

z =

I’m assuming the question is z7 = 8 ; in that case z= 8/7

**Move all terms to the left side and set equal to zero. Then set each factor equal to zero.**

**Exact Form:**

**z=0,7√8**

**Decimal Form:**

**z=0,1.34590019…**

**Hope this helps!**

**Have a great day!**

**- Hailey : )**

Help me pls ?????!!!!

**Answer:**

30=6j

j=5

hope it helps .......

Simple, the equation is j + j + 4j = 30

Then combine like terms

(j + j + 4j) = 30

6j = 30

6 6

(Divide both sides by 6)

j = 5

Then combine like terms

(j + j + 4j) = 30

6j = 30

6 6

(Divide both sides by 6)

j = 5

Can you pleaseee help me I beg u !

It’s C :)

I need to get to twenty characters so

I need to get to twenty characters so

**Answer:**

[tex]x < - 7[/tex]

the answer is option C

The State Association of Retired Teachers has recently taken flak from some of its members regarding the poor choice of the association's name. The association's by-laws require that more than 60 percent of the association must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if meeting is necessary. Suppose the association decided to conduct a test of hypothesis using the following null and alternative hypotheses:

H0: p = 0.6

HA: p > 0.6

Define a Type II Error in the context of this problem.

A.They conclude that more than 60% of the association wants a name change when, in fact, that is not true.

B.They conclude that exactly 60% of the association wants a name change when that is, in fact, true.

C.They conclude that more than 60% of the association wants a name change when that is, in fact, true.

D.They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.

Answer:

D.They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.

Step-by-step explanation:

Type 2 error results in a statistical analysis when a false null is incorrectly accepted.

The hypothesis Given :

H0: p = 0.6

HA: p > 0.6

The null in this context is that, the percentage of members who wants a name change is 60% ; while the alternative is that more than 60% wants a name change.

In this context, accepting a false null means Making a conclusion that exactly 60% wants a name change while it is actually FALSE.

Write the equation of the graph

**Answer:**

x + 2y - 5 = 0

**Step-by-step explanation:**

We can see that , the graph passes through (0,2.5) and (5,0) . Therefore the ,

x intercept is 5 y intercept is 2.5We can use the intercept form of equation as ,

=> x/a + y/b = 1

=> x/5 + y/2.5 = 1

=> x + 2y/5 = 1

=> x + 2y = 5

**=****>**** ****x**** ****+**** ****2****y ****-****5**** ****=**** ****0**** **.

This equation can be verified by plotting the graph .[ Refer to attachment ]

Hence the equation of the line is x + 2y - 5 = 0 .Help me pleaseeeeeeeeee!!!!

Report this clown who put the first answer he’s trying to get your ip.

Ms. Medina gives 9 students each 3 Jolly Ranchers. Then she divides

the rest of the Jolly Ranchers in her bag up between those 9 students.

if she started with 72 Jolly ranchers, how many extra Jolly Ranchers

did she give them?

**Answer:**

45

**Step-by-step explanation:**

9 × 3 = 27

started with 72

72 - 27 = 45

Hi everyone tomorrow is my Least day for school I am gonna miss you guys event you my lady or my Queen I love you )free point have fun
hey what's the answer ?[tex] \sqrt[4]{256} [/tex](~)~
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