Answer:A
Step-by-step explanation:
The volume of the composite solid is A---2,155.48 m
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r^{2} *h[/tex]
Where:
V: It's the volume
r: It is the radius of the cylinder
h: It is the height of the cylinder
We have to:
[tex]V = \pi * (7.2)^{2} * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 m^{3}[/tex]
On the other hand, the volume of the cone is given by:
[tex]V = \frac{\pi * r^{2} * h }{3}[/tex]
V: It's the volume
r: It is the cone radius
h: It is the height of the cone
We have:
[tex]V = \frac{\pi * (7.2)^{2} * 11 }{3}[/tex]
[tex]V = \frac{\pi * 51.84 * 11 }{3}[/tex]
[tex]V = 597.153931594347 m^{3}[/tex]
Thus, the total volume is given by:
[tex]V = 2551.47588954 m^{3}[/tex]
If we round up we have:
[tex]V = 2551.48 m^{3}[/tex]
What is a composite solid?A composite solid is a solid that is composed, or made up of, two or more solids. The solids that it is made up of are generally prisms, pyramids, cones, cylinders, and spheres.Learn more about Volume of Composite Solid here:
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Adrianna ran 10 miles , which was twice as far as Ady ran. How far did Ady run
Answer:
5 miles
Step-by-step explanation:
5*2=10
Answer:
5 miles
Step-by-step explanation:
Adrianna (a) ran 10 miles.
She ran twice as much as Ady:
Ady = a/2
a = 10
Plug in 10 for a:
Ady = 10/2 = 5
Ady ran 5 miles.
~
Show some graphing proportional and linear relationships
Solve for x: −1 < x + 3 < 5
2 < x < 8
−4 < x < 2
2 > x > 8
−4 > x > 2
Answer:
-4<x<2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Consider a single spin of the spinner. Which events are mutually exclusive? Choose all that apply. a)landing on a shaded sector and landing on a number greater than 3
b)landing on a shaded sector and landing on a 3
c)landing on a shaded sector and landing on an even number
d)landing on an unshaded sector and landing on a number less than 2
e)landing on an unshaded portion and landing on an odd number
Answer: the correct options are b and d.
Step-by-step explanation:
Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.
Considering a single spin of the spinner, the events that are mutually exclusive are
b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time
d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.
*25 points* Hailey ran a few laps. D(n), models the duration (in seconds) of the time it took for Hailey to run her n^th lap. When did the lap duration increase faster?
A. Between the 3rd and 7th lap
B. Between the 7th and 9th lap
C. The lap duration increased at the same rate over both intervals
Answer:
B
Step-by-step explanation:
4 laps were ran between her 3rd and 7th lap (inclusive) and the duration increased by 14 seconds
But just 2 laps were ran between her 7th and 9th lap and the duration increased by 11 seconds
So obviously the lap duration increased faster between the 7th and 9th lap
Answer:
B
Step-by-step explanation:
I just did the quiz, so you all can trust me :)
the difference of a number x and 7 *
Answer:
C
Step-by-step explanation:
x-7 is the answer
Answer:
difference means subtract
x-7
C. is correct because it subtracts and the numbers are in order
Step-by-step explanation:
You have boxes that will hold 1 cubic foot, 3 cubic feet,
9 cubic feet, and 27 cubic feet of paper. What is the fewest
number of boxes you need to hold 257 cubic feet of paper?
Answer:
13 boxes
Step-by-step explanation:
To calculate the minimum number of boxes that can be had with that amount of paper, they should be kept in the largest box, that is, the 27 cubic foot box, therefore, we divide:
257/27 = 9.51
Which means that we can save the paper in 9 boxes of 27 cubic feet, now we will save the rest in the next smaller box, the 9 cubic foot box.
First let's calculate how many leftover paper:
257 - 27 * 9 = 14
Therefore, we can only use 1 box of 9 cubic feet:
14 - 9 = 5
For the remaining 5 cubic feet use 1 box of 3 cubic feet and 2 boxes of 1 cubic foot.
Therefore, in total it would be:
9 of 27 ft ^ 3 + 1 of 9 ft ^ 3 + 1 of 3 ft ^ 3 + 2 of 1 ft ^ 3 = 13
a total of 13 boxes would be the minimum
What does statement that is not correct to use probability to describe an event.
A) the probability of seeing the Stars night is 0.70
B) the probability of going back to time is 0
C) The probability of having leftovers for dinner tonight is 35 percent
D) The probability of finding my keys is - 1/5
The incorrect statement is option D) The probability of finding my keys is - 1/5, as probabilities cannot be negative. Probabilities range between 0 and 1, and the calculation for combined probability of independent events involves multiplication, not addition.
The statement that is not correct to use probability to describe is option D) The probability of finding my keys is - 1/5. Probabilities range from 0 to 1 (or 0% to 100%), where 0 indicates impossibility and 1 indicates certainty. A negative probability does not make sense within this framework, so option D reflects a misunderstanding of how probabilities are represented.
The correct way to calculate the combined probability of two independent events is to multiply their individual probabilities. For example, to find P(A AND B) when dealing with independent events, you would calculate P(A) * P(B). Therefore, if P(A) = .2 and P(B) = .3, the correct answer for P(A AND B) would be .06, which corresponds to option D in the exercise provided.
It is also important to clarify misconceptions such as adding probabilities of non-mutually exclusive events. For instance, the fallacy that if there is a 60 percent chance of rain on one day and a 70 percent chance on another, then there is a 130 percent chance of rain over the weekend.
This is incorrect because probabilities cannot exceed 100%. Instead, you would evaluate the chances of rain differently depending on the independence or interdependence of the weather on those days.
Which expression is equivalent to 5y^-3
Answer:
Step-by-step explanation:
5
5y^-3 = ---------
y^3
How do you do this anyone know how
Answer:
ok so........
Step-by-step explanation:
For example, the first one is -1/3. It's slope is going down to the right, so it's negative . It goes down 1 (y value) and over to the right 3 (x value). Since it goes down and to the right it is a slope of -1/3.
The value of a 7 in the
millions place, is how
many times greater
than the value of a 7
in the ten thousands
place?
-
RESERREIRA
What is the answer to the problem above?*
Type your answer in number form.
8) There are six boys and seven girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another
question. The
first student is a boy and the second
student is a girl.
I
Are the events independent or dependent?
What is the probability?
Answer:
i say dependent. i may be wrong
7/26
Step-by-step explanation:
6/13 times 7/12 which is 42/156 which is 14/52 which is also 7/26
Final answer:
The scenario presents dependent events with the probability of selecting a boy first and then a girl being 7/26.
Explanation:
The events described in the scenario are dependent because the outcome of the first trial (selecting a student) affects the outcome of the second trial (selecting another student). In this situation, for the first student selected to be a boy, the probability is 6/13 (as there are six boys and seven girls, totaling 13 students). Once the first boy is selected and not replaced, the probability that the second student chosen is a girl is 7/12, because only 12 students remain and 7 of them are girls.
Therefore, the probability of first drawing a boy and then a girl, in two successive trials without replacement, is the product of the two individual probabilities: (6/13) * (7/12). This equals 42/156= 0.269 or simplified to 7/26.
PLEASE HELP 30 POINTS PLEASE!!!!!
The function f(x)=−11sin(7/3x+1/6)−2 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit. Over what range of temperatures does the average rate of change in temperature fall?
The range in the average rate of change in temperature of the substance is from a low temperature of ____°F to a high of ____°F.
Answer:
-13ºF || 9ºF
Step-by-step explanation:
Answer:
-13ºF & 9ºF
Step-by-step explanation:
The range in the average rate of change in temperature of the substance is from a low temperature of -13º F to a high of 9º F.
Helppp plzz!!! Julius is in charge of planting a peach orchard that covers 15 acres. He uses the same amount of ground space for each tree. Julius plants 25 trees in the section of the orchard called the South Hill region that measures 450 feet by 24 feet. Approximately how many trees does Julius plant in the orchard in all? (1 = 43,560 ).
A. 909
B. 1,151
C. 1,513
D. 1,746
Answer:
C
Step-by-step explanation:
Area of known planted trees: 450ft x 24ft = 10800 sq ft
total area of orchard: 43560 sq ft. x 15 acres = 653400 sq ft
653400 / 10800 = 60.5 "duplicated known areas"
25 trees in each "known area"
60.5 x 25 = 1512.5 trees
round to 1513 trees
C
I worked it out but not sure
A cone-shaped container has a height of 9 inches and diameter of 2.5 inches. It is filled with a
liquid that is worth $2 per cubic inch.
What is the total value of the liquid in the container?
Use 3.14 for .
Enter your answer in the box.
*pleaseee help i will mark brainliest if right*!!!!!
ps, thank you
Answer:
the total value of the liquid in the container is $29.4
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
Given data
Height h= 9 inches
Radius r= diameter/2= 2.5/2= 1.25in
Substituting we have
V= 1/3(3.14)*(1.25)²*9
V= 1/3*(3.14)*14.06
V= 44.156/3
V= 14.7in³
The volume of the cone is 14.7in³
Hence If 1 in³ of liquid costs $2
14.7in³ will cost $x
x= 14.7*2
x= $29.4
Consider the exponential function f(x) = 1 (154). What is the value of the growth factor of the function?
The value of the growth factor of the function is 15. To add to your answer, exponential growth happens when the rate of the number of the function corresponds with the present value of the function. This then lets its increase together with time be called an exponential function.
Answer:
15.
Step-by-step explanation:
f(x) = a b^x
The growth factor is b - in this case 15.
please help thanks will mark brainliest
Answer:
12 inches
Step-by-step explanation:
W = 9 + L
WL = 252
L = 12
Answer:
l = 12
Step-by-step explanation:
Let l = length
width = l+9
The area of rectangle is
A = lw
A = l * (l+9)
252 = l^2 +9l
Subtract 252 from each side
0 = l^2 +9l -252
Factor
What 2 numbers multiply to -252 and add to 9
21*-12 = 252
21-12 = 9
0 = (l+21) (l-12)
Using the zero product property
l+21=0 l-12=0
l = -21 l = 12
We cannot have a negative length
l = 12
Nine bean plants were grown in varying amounts of light. Mark thinks that, if the light is too intense, a bean plant will not grow as
high.
Is Mark's prediction correct?
Yes; the tallest plants were the ones that got the weakest light.
No; some plants grew just as well while getting very strong light.
Yes, when the light was too strong the plants did not grow as well.
No: plants that got the strongest light were also the ones that grew best.
Answer: C) Yes, when the light was too strong the plants did not grow well
Step-by-step explanation:
Write an equation to represent the following statement.
10 less than j is 35.
_______
Solve for j.
j =_____
Answer:
j - 10 = 35
j = 45
Step-by-step explanation:
When it says, "less than" it means subtracting. So 10 less than j is (j - 10)
The part where is says "is" means it is equal to.
So the equation would be = (j - 10) = 35
Answer:
Equation: (j - 10) = 35
j = 45
Step-by-step explanation: Lets translate 10 less than j:
Less than means 10 is being subtracted from j.
So we can write 10 less than j as j - 10.
The word is means equal.
So, we can write is 35 as = 35.
Now lets write the whole equation toghter.
j - 10 = 35
We can also write this as 35 = j - 10.
Now we can solve for j.
Add 10 to both sides of the equation to get j by itself.
j - 10 + 10 = 35 + 10
J=45
The following equation matches this situation:
j - 10 = 35
j = 45
Which expression is equivalent to
- 5/3?
Answer:
The first one! :)
Step-by-step explanation:
At the bottom of each question for example the first on it has 1 at the top then at the bottom it says 5/3 with a x.So if it does not say 5/3 it can be excluded.So it says only one 5/3.So one 5/3 is the exact same as 5/3!
And for the last one says -5/3.:)
And no im not saying 1 5/3 :(
(❁´◡`❁) (●'◡'●) ╰(*°▽°*)╯ (≧▽≦) (*/ω＼*) (^///^) ^_^ (┬┬﹏┬┬) ಥ_ಥ ಠ_ಠ
[tex]$\frac{1}{\sqrt[3]{x^{5}}}$[/tex] is equivalent to [tex]- 5/3[/tex].
The calculation of the given expression can be defined as
[tex]$\begin{aligned} \rightarrow x^{-\frac{5}{3}} &=\frac{1}{x^{\frac{5}{3}}} \\ &=\frac{1}{\sqrt[3]{x^{5}}} \end{aligned}$[/tex]
So, the final answer is "Option b".[tex]$\frac{1}{\sqrt[3]{x^{5}}}$[/tex]
What are Equivalent Fractions?Equivalent fractions are fractions that represent the same value, even though they look different. A fraction has two parts. The number on the top of the line is called the numerator which tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator and it shows the total number of equal parts the whole is divided into or the total number of equal parts which are there in a collection.To learn more about equivalent refer to:
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What is the relationship between segment RS and segment RU
Answer:
I would like to answer but where is the picture for the question. Download that to this page and i will answer it. Have a great day
Step-by-step explanation:
Girls in science class account for one-third of the total number of students in their 3rd period class. 3 girls are absent today. Find the total number of students in the class if four girls attended class today.
Answer:
See Explanation
Step-by-step explanation:
The question isn't clear enough. However, I'll solve for the total number of students in science class and I'll.also solve for the total number of students present in class.
Given
Proportion of girls = ⅓
Number of girls absent = 3
Number of girls present = 4
Required
Find the total number of students
If 3 girls were absent and 4 were present, then there are total of 7 girls in science class.
Let the number of students in the class be represented by y.
⅓ of the total number of students are girls;
This means
⅓ of y = 7
⅓ * y = 7
Multiply both sides by 3
3 * ⅓ * y = 3 * 7
y = 3 * 7
y = 21.
Hence, the total number of students in science class is 21
Recall that 3 girls are absent;
This means that 21 - 3 are presently in the class.
21 - 3 = 18.
Hence, 18 students are presently in class.
Which pair(s) of expressions are equal in value? Check all that apply.
Answer:
Where is the expressions ?
Step-by-step explanation:
Answer:
a [4.9] and [3.1]
c [-6] and [-6]
Step-by-step explanation:
Edge 2020-2021
It's right I did it
Hope that helps
plz help asap
I will mark you as BRAINLIEST
Answer:
-86 ≥ x
Step-by-step explanation:
Answer:
-87 ≥ x
Step-by-step explanation:
In this inequality, it states that -87 is greater than and equal to x.
So we know we have to use this sign.
≥
So, -87≥x
PLZZZ HELP ME Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. complete the tree diagram
last time i did this i got 1.4
Answer: 0.72
Step-by-step explanation:
0.7x0.4=0.28
1-0.28= 0.72
That is what I did in the box and got the correct answer. Hope you have a good day!
Find the unknown side of the triangle when x =
12 in and y = 5 in.
Answer:
13
Step-by-step explanation:
As x and y are perpendicular - we can use pythagoras.
So, The length of side x squared + The length of side y squared = The missing length squared.
12^2=144
5^2=25
144+25=169
sqrt169=13
Answer:
Unknown side = 13 in
Step-by-step explanation:
If it is a right sided triangle, then you can use the Pythagoras theoreum.
unknown side = u
x² + y² = u²
12² + 5² = u²
u² = 144 + 25
u² = 169
u = + - SQRT(169)
{Only the positive value has a meaning}.
Unknown side = 13 in
Use the laws of logarithms and the values given below to evaluate the logarithmic expression.
log7=0.8451 log5=0.6990
log3=0.4771 log2=0.3010
The value of [tex]\(\log 12\)[/tex] is approximately 1.0792 based on the given logarithmic values. Option B [tex]$\approx 1.0791$[/tex]
Let's evaluate the logarithmic expression [tex]\(\log 12\)[/tex]. We'll use the given logarithmic values:
1. Recall that [tex]\(\log 12\)[/tex] represents the common logarithm (base 10 logarithm) of the number 12.
2. Apply the change of base formula:
[tex]\[ \log 12 = \frac{\log 12}{\log 10} \][/tex]
Given values:
[tex]- \(\log 12 \approx 2.4849\) (from \(\log 12\))[/tex]
[tex]- \(\log 10 \approx 2.3026\) (from \(\log 10\))[/tex]
Now calculate:
[tex]\[ \log 12 \approx \frac{2.4849}{2.3026} \][/tex]
[tex]\[ \log 12 \approx 1.0792 \][/tex]
Therefore, the value of [tex]\(\log 12\)[/tex] is approximately 1.0792.
The correct answer is b. [tex]\(\approx 1.0791\)[/tex].
The correct question is:
Use the laws of logarithms and the values given below to evaluate the logarithmic expression.
[tex]$$\begin{array}{ll}\log 7=0.8451 & \log 5=0.6990 \\\log 3=0.4771 & \log 2=0.3010\end{array}$$[/tex]
[tex]$\log 12$[/tex]
a. [tex]$\approx-1.0791$[/tex]
b. [tex]$\approx 1.0791$[/tex]
c. [tex]$\approx 3.0234$[/tex]
d. [tex]$\approx-3.0234$[/tex]
What's the answer will award brainiest
Answer:
D
Step-by-step explanation:
Answer:
D?
Step-by-step explanation:
Subtract (5y3 + 6y + 3y4) from (4y4 - 8y3).
A) y4 - 13y3 - 6y
B) y4 - 13y3 + 6y
C) 9y4 -13y3 - 6y
D) y4 + 13y 3 - 6y
Answer:
a
Step-by-step explanation:
Answer:
A) y ^4 − 13 y^ 3 − 6 y
Step-by-step explanation:
4y^4 - 8y^3
- 5y^3 + 6y + 3y^4
----------------------------
flip the equations around
-8y^3 + 4y^4
- 5y^3 + 6y + 3y^4
------------------------
-13y^3 - 6y + y^4
Rearrange to get:
y^4 - 13y^3 - 6y
I hope this helps you out!!!
On Monday Julio ran 3,000 meters and on Wednesday he ran 4,500 meters how many meters did Julio run in all
Answer:
3000+4500= 7500