A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.

Answers

Answer 1

the anwser is the cicumferintes of the circle - 4

Related Questions

Based on the given information, choose the abbreviation of the postulate that supports the conclusion that ΔWAS ΔNOT.

AHH! HELP!!
If the conclusion cannot be drawn from the given information, then choose "not possible."

Given:
WS = NT, AS = OT, S = T.

Answers

the are congruent due to the SAS postulate

Hello,

If you mark what you know in the diagram, you will see that you have a SIDE, then an ANGLE, and finally another SIDE.

Therefore, you can use ASA to prove that they two triangles are congruent.

Good luck,
MrEQ

HELP!!!

Draw a tree diagram illustrating the events, two cards are drawn in succession with replacement from a standard deck of 52 and its suit is observed.

I got 50 branches but it's wrong and I'm not sure what I'm doing incorrectly.,

Answers

There should be sixteen branches. There are four possible suits for the first card, hearts, diamonds, clubs, spades. Then each of those four branches has four branches for the second card drawn. 4*4 = 16.

The value of the investment is expected to grow by 3% per year.

How long will it take to double?

A. About 4 years
B. About 6 years
C. About 12 years
D. About 24 years

Answers

3 times 24 is 48% therefore its D.

Answer:

D. About 24 years

Step-by-step explanation:

Compounding is the means the future value of an amount saved today while discounting means the present value of a future amount.

In other words, we discount to know the present value of $1 in the future while we compound to know the future worth of $1 saved today.

Let the value of the investment be x. if it is expected to double in n years then using the compound interest formula

fv = pv(1 + r)^n

where fv and pv are the future and present values respectively and n is the time, r is the growth rate

2x = x(1 + 0.03)^n

2 = (1.03)^n

log 2 = log (1.03)^n

= n log 1.03

n = log 2/ log 1.03

n = 23.44

This is approximately 24 years hence option D is right

Corey is out on the roads doing a long run, and also doing some mental calculations at the same time. corey's pace is 3 strides per second, and each stride covers 5 feet. (a) how much time does it take corey to cover a mile? (b) if corey's stride increased to 5.5 feet per step, how much time would be needed to cover a mile? (c) at five feet per step, how many steps would corey need to run the marathon distance, which is 26 miles and 385 yards?

Answers

A. 352 seconds or 5 minutes 52 seconds.
B. 320 seconds or 5 minutes and 20 seconds
C. 27687 steps
There are 5280 feet per mile. In A, 3 strides per second at 5 feet gives us 15 ft per second. 5280/15 = 352 seconds. In B, 3 strides per second at 5.5 feet gives us 16.5 feet per second. 5280/16.5 = 320 seconds. In C, we calculate the total feet to divide by 5 per step. multiply 26 miles by 5280 to get feet per mile and multiply 385 by 3 to get the feet per yard. Add them together. then divide by 5. 26(5280) + 385(3) =138435. 138435/5 = 27687 steps

Plutonium -25 has a half live of 6 hours . George has 5000 grams of plutonium -25 . How much plutonium-25 will hearse have after 4 days

Answers

The amount (a) after d days will be
.. a(d) = 5000*(1/2)^(4d)

.. a(4) = 5000*(1/2)^(4*4) = 5000/2^16 ≈ 0.076 . . . grams

George will have about 0.076 grams after 4 days.

Which equation could have been used to create this graph?

A.
y = 5x

B.
y = x + 0

C.
y = x + 1

D.
y = x + 5

Answers

Im Pretty Sure its D!

Answer:

Its b :)

Step-by-step explanation:

During a basketball game, the East Middle School Tigers scored 42 points from two-point baskets. How many two-point baskets did they make?

84
14
21
42

Answers

The answer should be 21 because the other answers do not make sense. Additionally, if you multiply 21 by 2 since 21 shots were made and each shot was worth 2 points, you would get a total of 42 points.

Answer:

21 two point basket.

Step-by-step explanation:

It is given that During a basketball game, the East Middle School Tigers scored 42 points from two-point baskets. It means

Total score = 42 points

Score for each basket = 2 point

Let total number of two-point baskets be x. So,

Total score = 2x points.

[tex]2x=42[/tex]

Divide both sides by 2.

[tex]\dfrac{2x}{2}=\dfrac{42}{2}[/tex]

[tex]x=21[/tex]

Hence, they make 21 two point basket.

Probabilities are between 0 and 1. A probability of 0 means that an event occur or that it is for the event to occur. If it is unlikely that the event will occur, then the probability of that event is . If it is equally likely that the event will occur or that the event will not occur, then the probability is . If it is very likely that the event will occur, then the probability of that event is . If the event will definitely occur, then the probability of that event is . A sample space has probability when all of the possible outcomes of the sample space have probabilities.
closer to zero equal to one impossible real numbers one-half will not closer to one uniform equal

Answers

Probabilities are real numbers between 0 and 1. A probability of 0 means that an event will not occur or that it is impossible for the event to occur. If it is unlikely that the event will occur, then the probability of that event is closer to zero. If it is equally likely that the event will occur or that the event will not occur, then the probability is one-half. If it is very likely that an event will occur, then the probability of that event is closer to one. If the event will definitely occur, then the probability of that event is equal to one. A sample space has uniform probability when all of the possible outcomes of the sample space have equal probabilities.

Final answer:

Probability measures the likelihood of an event occurring, with values between 0 (impossible) to 1 (certain). A probability closer to 0 implies unlikeliness, one-half means equal likelihood, and closer to 1 suggests high likelihood. The probabilities in a uniform sample space are equal for all outcomes.

Explanation:

Probabilities are mathematical measures between 0 and 1. A probability of 0 means an event will not occur, or it is impossible for the event to happen. Conversely, if the probability is equal to one, it means the event will definitely happen. When it's unlikely that the event will occur, the probability is closer to zero. If there's an equal chance the event will occur or not, the probability is one-half (0.5). For events that are very likely to occur, the probability is closer to one. A sample space is considered uniform when all the possible outcomes have equal probabilities.

To calculate the probability of an event A in a uniform sample space, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is the theoretical probability of A. For example, when tossing a fair coin, there is an equal likelihood of landing on heads or tails, which are mutually exclusive events, each with a probability of 0.5, and together they form the sample space with a total probability of 1.

Someone please help me find x and y for problems #19 and 20!!! Please explain if you can

Answers

Lol did this last year with these ratios.
19) you have 40 for one leg, 10 for another leg and 50 for a hypotenuse. To find x, the altitude, you need to set up the ratio, 10/x=x/40. You can multiply x by both sides. 10=x^2/40. You can also multiply 40 by both sides. 400=x^2. Square root both sides. 20=x. You now have one variable, let's solve for y now :0. Using the biggest triangle, we have 50 as the hypotenuse. You can use the Pythagorean Theorem to help you out. We first need to find the value of one of the legs, so 40^2+20^2=c^2. This gets me to 2000=c^2. Take the square root of both sides. I get c=44.72 (be aware that I'll always round to the nearest hundredth for every ANSWER! It's a bit more accurate). Now to find the leg of the biggest triangle. y^2+44.72^2=50^2 which is y^2+1999.8784=2500. Subtract 1999.8784 from both sides to get y^2=500.1216. Take the sqrt or square root of both sides. (It's rounded) y=22.36. That's question 19 for ya.

20) Look at this now! Doesn't it look familiar? Let's start with y. Start with the ratio '21/y=y/4'. Use my ways from before to get (you can pretend the same thing is happening from prob. 19)), '21=(y^2)/4' '84=y^2' 'y=9.17'. That's y, now x. Let's find the leg of the big triangle first. PYTHAGOREAN THEOREM!!! 21^2+9.17^2=c^2, 441+84.0889=c^2,
c^2=525.0889, c=22.91. We can finally figure out x. 22.91^2+x^2=25^2, 524.8681+x^2=625, x^2=100.1319, x=10.01.

Hope you've enjoyed this learning experience about geometric means and whatnot!!! :3

In a statistics class there are 11 juniors and 6 seniors; 2 of the seniors are females; 6 of the juniors are males. if a student is selected at random, what is the probability that the student is either a junior or a female?

enter your answer as a fully reduced fraction.

Answers

The probability is 8/17.

The tricky portion of this question is the phrasing using the word "or".
The fact that it is looking for either a female "or" a junior, let's us know that the selection can't be both. In mathematics, we would need the term "and/or" in order to include those that are both.
So, given that information, we know we have 11 juniors, 6 of which are males and 5 of which are females. We would include the males in our selection.
We also know there are 6 seniors, 2 of which are female and 4 of which are males. We would include the 2 females.

This would give us a selection size of 8. There are 17 total kids, so we divide the 8 by 17 for the answer of 8/17.

Answer: [tex]\dfrac{13}{17}[/tex]

Step-by-step explanation:

Given: Number of juniors = n(J)= 11

Number of seniors = 6

Total students n(S)=[tex]11+6=17[/tex]

Number of seniors are which are females =2

Number of juniors are which are males =6

Then, number of juniors which are females = [tex]11-6=5[/tex]

Now, total females n(F)=[tex]2+5=7[/tex]

such that number of juniors which are females n(J∩F) = [tex]5[/tex]

Now, the number of students either a junior or a female is given by :_

[tex]n(J\cup F)=n(J)+n(F)-n(J\cap F)\\\\\Rightarrow n(J\cup F)=11+7-5=13[/tex]

Now, the probability that the student is either a junior or a female is given by :-

[tex]P(J\cup F)=\dfrac{n(J\cup F)}{n(S)}=\dfrac{13}{17}[/tex]

Side ab in triangle abd corresponds to which side of triangle abc? ab bc ac

Answers

Answer:

The correct answer to this question going by the reference photo is AC (answer) that corresponds to AB.

Step-by-step explanation:

Answer:

it is AC

Step-by-step explanation:

option c

The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.

Which of the following would be an appropriate scale to use on an 8 1/2 by 11 sheet of paper for a sketch of the room and carpet?

1 inch = 1 foot
1 inches = 1 foot
1/2 inch = 1 foot
2 inches = 1 foot,

Answers

1 inch = 1 foot is the answer. The appropriate scale to use on an 8 1/2 by 11 sheet of paper for a sketch of the room and carpet is 1 inch = 1 foot. The other choices are incorrect because it is not possible for 1/2 inch= 1 foot and it is grammatically wrong when we say 1 inches= 1 foot.

The room scale will only fit on an 8 1/2" X 11" page if 1/2 iinch = 1 foot is used. If we take the largest measurement 15 X 20......the 15 would hang over the edge of the paper no matter which way we turn it. With the 1/2" we can get 17 feet on the 8 1/2 side and and 22 on the 11" side.

1/2 inch = 1 foot is the correct answer

Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?

Answers

Let f(x) be the real value function. Remember that:
→ Even: f(x) = f(-x) → Odd: -f(x) = f(-x)
If -f(x), then -f(x) = -x³ + 5x If x = -x, then f(-x) = -x³ + 5x
Since -f(x) = f(x), the function is therefore odd.

The answer is B) Determine whether (–x)^3 + 5(–x) + 1 is equivalent to x^3 + 5x + 1

Explain how you can tell without calculating whether the sum of a positive number and a negative number will be positive, negative, or zero.

Answers

once you put it in the calculator it tells you

You can answer that based on the absolute value of both numbers. So, if absolute value of the positive number is greater than that of the negative one, you will have a positive result. In the opposite situation, it would turn into a negative result. Finally, if both absolute values are equal, the sum is zero.

Your weekly allowance is $25.you spent 6% of the budget on a new video game . how much did you spend on the video game ?\

Answers

----------------------------------------------------------
Allowance
----------------------------------------------------------
$25

----------------------------------------------------------
Video Game
----------------------------------------------------------
6% 0f 25
= 0.06 x 25
= $1.50

----------------------------------------------------------
Answer: $1.50 were spent on video game
----------------------------------------------------------

If 1 Chinese yuan equals 0.1558 U.S. dollars, then 1 U.S. dollar equals approximately how many Chinese yuan?

A. 0.4185
B. 0.1558
C. 6.1558
D. 6.4185

Answers

the answer would be D just go 1 and then divide that by the 0.1558 and that would = 6.41848 but you want to round up when dealing with money hope this helps

Answer:

1 U.S. dollar equals 6.4185 Chinese yuans. The correct answer is D.

Step-by-step explanation:

- The first step is to get a fraction between the currencies. The fraction is obtained by dividing the 1 yuan by 0.1558 U.S. dollars.

[tex]fraction=\frac{1\, \, yuan}{0.1558\, \, U.S.\, \, dollars.}[/tex]

- The second step is to multiply the previous fraction by 1 U.S. dollar.

[tex]\frac{1\, \, yuan}{0.1558\, \, U.S.\, \, dollars}\times 1\, \, U.S.\, \, dollars[/tex]

As you can see, the U.S. dollar units can be cancelled and yuan remains.

[tex]\frac{1\, \, yuan}{0.1558}\times 1[/tex]

- The last step is to perform the division.

[tex]1\, \, U.S.\, \, dollars=6.4185\, \, yuans[/tex]

Thus, 1 U.S. dollar equals 6.4185 Chinese yuans. The correct answer is D.

Solve by factoring 4x^2+16x+12=0

Answers

4x^2 + 16x + 12 = 0

(2x + 2)(2x + 6) = 0

zeros : x = -1 , x = -3

factor each polynomial 9x-6 a.9(x-6) b.3(3x-2) c.6(3x-1) d.3x

Answers

The correct answer is b) 3(3x - 2)

In order to factor this, you have to find the greatest common factor of 9x and 6. Since 6 does not have an x in it, we cannot pull out an x. Instead we have to look for the biggest whole number that goes into 9 and 6, which is 3.

Next, to take the 3 out, we need to divide each term by 3.

9x/3 = 3x

-6/3 = -2

So the 3 comes out and the results above go together in the parenthesis.

3(3x - 2)

[tex] 9x-6=3(3x-2)\implies\text{B} [/tex]

Hey
PLEASE HELP ME
Limited time!!!!

Blank 1: 38,35,65,15

Blank 2: purchasing 12 apps, purchasing 35 apps, spending $35, spending $12

Blank 3: Has 12 new on her phone , Has $35 remaining on her card , Has 35 new apps , Has $12 remaining on her card.

CHOOSE ONE ONLY FOR EACH BLANK.
THX

Answers

To find the first blank, just replace x in the equation with 12 and solve.
a(12) = 50 - 1.25(12) = your answer for blank 1

For blank 2: because x represents the number of apps on her phone, and x is given 12 for this problem, she bought 12 apps.

For blank 3: You would mention how many apps she got twice, so not the first option or the third option. It should be the answer from the first blank because the equation represents how much money is in her account.

The perimeter of square A is 28 feet less than the perimeter of square B. The area of square A is 161 square feet less than the area of square B. If x and y are the side lengths of square A and square B, respectively, what is the value of x + y?

Answers

x+y=23.

The equation comparing the areas of the squares would be:

x²=y²-161

This is because the area of a square is found by multiplying its length and width; if x is the length of the smaller square, and y is the length of the larger square, we know that x*x, the area of the smaller square, is 161 less than y*y, the area of the larger square.

The equation comparing the perimeters of the squares would be:

4x=4y-28

This is because the perimeter is found by adding all of the sides; x+x+x+x=4x. Similarly, y+y+y+y=4y; however, the perimeter of the smaller square is 28 less than 4y.

Using the equation for the perimeters, we can isolate x. Divide both sides by 4:

4x/4 = 4y/4 - 28/4
x=y-7

Now we can substitute this into the equation for area:
(y-7)²=y²-161
(y-7)(y-7)=y²-161

Multiplying the binomials on the left we have:
y*y-7*y-7*y-7(-7)=y²-161
y²-7y-7y+49=y²-161
y²-14y+49=y²-161

We cannot have a variable on both sides; subtract y² from each:
y²-14y+49-y²=y²-161-y²
-14y+49= -161

Subtract 49 from both sides:
-14y+49-49 = -161-49
-14y = -210

Divide both sides by -14:
-14y/-14 = -210/-14
y=15

Substitute this back into the perimeter equation:
4x=4(15)-28
4x=60-28
4x=32

Divide both sides by 4:
4x/4=32/4
x=8

Therefore x+y=8+15=23.

Does 6(x+2)>x-3 have a solution

Answers

Hi there!

To see if this has a solution, we can simplify it.

6x + 12 > x - 3
5x + 12 > -3
5x > -15
x > -3

Yes, there are solutions to this problem. Any number greater than -3 would match the inequality requirements.

Hope this helps!

−2x+5y=13
16x+3y=25

Answers

X = 1 and y = 3 mark me as brainlist answer

Name at least two pieces of information that might be found in stock listings.

Answers

The high and low for the day.
The name or symbol for the stock (or both)
The volume. Be sure and read whether the volume is in hundreds or thousands or even millions of shares.

How many different towers can you make using one red, one blue and one yellow block?

Answers

You can make 6 different towers. If red was at the bottom, there'd be two different possibilities for that: red, yellow, blue, and red, blue, yellow. Same for if blue was at the bottom: blue, red, yellow, and blue, yellow, red. Yellow also applies: yellow, red, blue, and yellow, blue, red. 3*2=6, so 6 possible towers.

Final answer:

Using permutation principles, one can determine that six different towers can be made from one red, one blue, and one yellow block, by multiplying the number of choices for each position (3 x 2 x 1).

Explanation:

The question is about determining the number of different towers that can be made using one red, one blue, and one yellow block. This type of problem involves understanding permutations, as each block can be placed in any order.

To calculate the permutations of the three blocks, we consider how many choices we have for each position in our tower. For the top position, there are three choices (red, blue, yellow), for the second position, there are two remaining choices, and for the last position, there is only one choice left. This gives us a total of 3 x 2 x 1 = 6 different towers. Each tower is a unique combination of the colors in a specific order.

PLZ HELP QUICKLY AND CORRECT GETS BRAINLY!
Solve for x: −3|x − 3| = −6

Answers

[tex]-3|x-3|=-6\qquad|:(-3)\\\\|x-3|=2\\\\\\x-3=2\qquad|+3\qquad\qquad\vee\qquad\qquad x-3=-2\qquad|+3\\\\\\x-3+3=2+3\qquad\qquad\vee\qquad\qquad x-3+3=-2+3\\\\\\\boxed{x=5\qquad\qquad\vee\qquad\qquad x=1}[/tex]

find the inverse of the following function:
[tex]f(x)=-2 \sqrt{3x-1} -5 [/tex]
if x \geq 1/3[/tex]

Answers

First, we are going to find the inverse function of [tex]f(x)[/tex] by replacing [tex]f(x)[/tex] with [tex]y[/tex], and then, interchanging [tex]x[/tex] and [tex]y[/tex] and solving for [tex]x[/tex]:
[tex]y=-2 \sqrt{3x-1} -5[/tex]
[tex]x=-2 \sqrt{3y-1} -5[/tex]
[tex]-2 \sqrt{3y-1} =x+5[/tex]
[tex] \sqrt{3y-1} = \frac{x+5}{-2} [/tex]
[tex]3y-1=( \frac{x+5}{-2} )^{2} [/tex]
[tex]3y=( \frac{x+5}{-2} )^{2} +1[/tex]
[tex]y= \frac{( \frac{x+5}{-2})^{2}+1 }{3} [/tex]

Next we are going to evaluate our inverse function at [tex]x= \frac{1}{3} [/tex]:
[tex]y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1 }{3} [/tex]
[tex]y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1 }{3} [/tex]
[tex]y= \frac{(- \frac{8}{3})^{2}+1 }{3} [/tex]
[tex]y= \frac{ \frac{64}{9}+1 }{3} [/tex]
[tex]y= \frac{ \frac{73}{9} }{3} [/tex]
[tex]y= \frac{73}{27} [/tex]

We can conclude that the inverse function of [tex]f(x)=-2 \sqrt{3x-1} -5[/tex] when [tex]x= \frac{1}{3} [/tex] is [tex] \frac{73}{27} [/tex]

What is the length of bc?

Answers

The length of BC is 15 units.

I used the Pythagorean theorem to find this. 8 is the length of the given leg, and 17 is the length of the hypotenuse:

8²+b²=17²
64+b²=289

Subtract 64 from both sides:
64+b²-64=289-64
b²=225

Take the square root of both sides:
√b²=√225
b=15

Use the Law of Sines to find the missing angle in the triangle. Find m

Answers

Using the law of the sines we have:
(13) / (sin (40)) = (19) / (sin (C))
Clearing the angle C we have:
sin (C) = (19/13) * (sin (40))
C = Asin ((19/13) * (sin (40)))
C = 69.96086904
Rounding:
C = 70 degrees
Answer:
The missing angle in the triangle using the Law of Sines is:
70 degrees
option 4

helppppp meeee with thisssss

Answers

x means one. so your slope is positive one and the y intercept is -5

is choice 4,
slope is 1 and the y intercept is -5
remember the equation y=mx+b
we have just x, so the slope is 1

Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standard deviation of 1.2 gallons.

What is the difference in gallons per day used by a car with a z-score of 3 and another car that has a z-score of 0?

A. 1.2

B. 2.6

C. 3.6

D. 4.6

Answers

The difference in gallons per day used is 3.6.

The formula to calculate a z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex],

where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:

[tex]3=\frac{X-2.2}{1.2}\text{ and }0=\frac{X-2.2}{1.2}[/tex]

For both equations, we will cancel the 1.2 by multiplying both sides:
[tex]3\times1.2=(\frac{X-2.2}{1.2})\times1.2\text{ and }0\times1.2=(\frac{X-2.2}{1.2})\times1.2 \\ \\3.6=X-2.2\text{ and }0=X-2.2[/tex]

Now we will cancel 2.2 from both equations by adding it to both sides:

3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X

The difference in gas used per day would be given by
5.8-2.2 = 3.6.

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