Answer:
X = 17.5
Step-by-step explanation:
Here we have a word problem relating to syntax regarding mapping of a scale factor;
Whereby the scale factor is 3.5 we have that the scale factor can be represented as 2:7
Hence the scale is for every 2 units of Figure A, we have 7 units of Figure B
Hence where Figure A is 5, we have;
2 unit of Figure A = 7 units of Figure B
∴ 1 unit of Figure A = 7/2 (=3.5) units of Figure B
5 unit of Figure A = 3.5 × 5 units of Figure B = 17.5 units of Figure B
Therefore where we have;
5 unit of Figure A = X units of Figure B
Then, X = 17.5.
Answer:
17.5
Step-by-step explanation:
What is the volume of the cylinder? Use 3.14 for π, and round your answer to the nearest tenth. Enter your answer in the box.
Answer:
235.5
Step-by-step explanation:
3.14x2.5^2x12
3.14x6.25x12
19.625x12
235.5
Answer :
240 ft³⠀
Explanation :
We know,
\({ \longrightarrow \qquad{\boldsymbol {\pmb{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}}\)
Where,
r is the radius of the cylinder. Here, diameter is 5 ft, so the radius will be 2.5 fth is the height of the cylinder. Here, h is 12 ft Here, we will take the value of π as 3.14 approximately .⠀
Substituting the values in the formula :
\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({2.5})^{2} \times 12 \: }}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 6.25 \times 12 \: }}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 75 \: }}}}\)
⠀
\({ \longrightarrow \qquad{ \boldsymbol { \pmb{ Volume_{(cylinder)} = 235.5 \: }}}}\)
⠀
Therefore,
The volume of the cylinder is 240 ft approxiamtely.$250 is invested at a bank that pays 7% simple interest. Calculate the amount of money in the account after 1 year,
3 years, 7 years, and 20 years
Answer:
267.5
302.5
372.5
600
Step-by-step explanation:
Simple interest
PV(1+it)
1 year:
250(1+.07)
267.5
3 years:
250(1+.07*3)
302.5
7 years:
250(1+.07*7)
372.5
20 years:
250(1+.07*20)
600
The amount of money in the account after adding simple interest of 7% rate is respectively $17.5, $52.5, $122.5, $350
What is simple interest?Simple interest is a amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider principle amount(P), rate(R) and time(T).
Every time we calculate simple interest the principle values will be same unlike compound interest.
Formula; Simple Interest(I) = P × R × T/100
Given that,
P = $250
R = 7%
For T = 1 year
I = 250 × 7 × 1/100
= $17.5
For T = 3 year
I = 250 × 7 × 3/100
= $52.5
For T = 7 year
I = 250 × 7 × 7/100
= $122.5
For T = 20 year
I = 250 × 7 × 20/100
= $350
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I am very confused on this question
Answer:
955.0 ft^3 remains in A
Step-by-step explanation:
Volume of a cylnder = V = pi r^2 h
A: pi (9)^2 *9 = 729 pi (Note: You are given DIAMETER...need RADIUS)
B: pi (5)^2 *17 = 425 pi
A - B = pi ( 729 - 425) = 955.0 ft^3 remains
.222222222 as a fraction Please help
Answer:
222222222/1000000000
Step-by-step explanation:
A store is having a sale where everything is just kind of 30%. Find the discount in the sales price of the customer buys an item that normally sells for $365.
Answer:
New price: $255.50
Step-by-step explanation:
First you multiply 365x.30
Then you'll get 109.5
Sub that from 365 and you'll get $255.50
two vacationers walk out on a horizontal pier as shown in the diagram below. as they approach the end of the pier, their gravitational potential energy will
The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.
How we get the gravitational potential energy?As the vacationers approach the end of the pier, their gravitational potential energy will decrease.
Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.
In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.
However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.
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Thirty-five percent of the fish in a tank are guppies. a random sample of 7 fish is selected. what is the probability that the sample contains fewer than 2 guppies?
The probability that the randomly choosen sample contains less than 2 guppies is:
P = 0.234
How to get the probability?The probability will be equal to the sum between the probability of selecting 0 guppies and 1 guppi.
35% of the fish in the tank are guppies, then the probability of not selecting one of them is:
p = (0.65)^7 = 0.049
And the probability of selecting one is:
q = (0.65)^6*(0.35)*7 = 0.185
Then the probability that the sample contains less than 2 guppies is:
P = p + q = 0.049 + 0.185 = 0.234
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The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number. 38 in.2 47 in.2 75 in.2 94 in.2
Answer:47
Step-by-step explanation:
Answer:
B. \(47 in.^{2}\)
Step-by-step explanation:
Edge 2021
what is the square root of 144? plz temme!!!!!!!!!!1
Answer:
12
Step-by-step explanation:
12x12= 144
Preston teaches at an international school. After reading an article about the distribution of the world's population by continent, he wanted to test if the distribution of students in his school was similar. He collected information about all 320 students in his school. Here are the results:
Preston wants to perform x^2 goodness-of-fit test to determine if these results suggest that the distribution of students doesn't match the reported distribution.
What is the expected count of students from Australia in Preston's group?
Answer:
Since there are 320 students, and Preston expects 0.5% of them to be from Australia, the expected count of students from Australia is 0.005 (320) =1.6
The expected count students from Australia is 1.6.
Step-by-step explanation:
The expected count of students from Australia in Preston's group is equal to 1.6.
What is a goodness-of-fit test?A goodness-of-fit test can be defined as a statistical tool that is used to test if sample data fits into a set of observations or distribution from a given population.
This ultimately implies that, a goodness-of-fit test helps to determine whether on not sample data represents the data that are expected in an actual population.
Given the followin data:
Popuation = 320 students.
Expected percent (Preston's group) = 0.5% = 0.005.
Expect count = 0.005 × 320
Expect count = 1.6.
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A triangle has one side length of 26 and another side length of 18. What could be the possible length of the third side?
Answer:
44
Step-by-step explanation:
So,Your Perimeter is the total of three sides
And You Know the Length of the two sides
You do=26+18=44
suppose that the only currency was 3-dollar bills and 10-dollar bills. show that every amount greater than 17 dollars could be made from a combination of these bills.
To show that every amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills, we can use a technique called "proof by induction."
First, let's check the base case: can we make 18 dollars using only 3-dollar and 10-dollar bills? Yes, we can use two 3-dollar bills and one 10-dollar bill: 3 + 3 + 10 = 16.
Now, let's assume that we can make any amount greater than n dollars using only 3-dollar and 10-dollar bills. We want to prove that we can make any amount greater than n+1 dollars as well.
To do this, we can consider two cases:
1. The amount we want to make includes at least one 10-dollar bill. In this case, we can subtract 10 dollars from the amount and use our induction hypothesis to make the remaining amount using only 3-dollar and 10-dollar bills. Then we add the 10-dollar bill back in, and we have made the original amount.
2. The amount we want to make does not include any 10-dollar bills. In this case, we can use our induction hypothesis to make the amount n-7 using only 3-dollar and 10-dollar bills (since 10 - 3 = 7). Then we add a 10-dollar bill and a 3-dollar bill to get n+3, and we can add another 3-dollar bill to get n+6. Finally, we add one more 3-dollar bill to get n+9, which is greater than n+1.
Therefore, we have shown that any amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills using proof by induction.
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You are standing on top of a 50 foot cliff over looking a pond. The angle of depression from you to the pond is 47 degrees. How far is the horizontal distance from the pond. Round your answer to the nearest tenth
Answer: 97
Step-by-step explanation: hope this is right.
If you have 3 means that need to be compared, you should not simply do multiple t-tests because ________.
a. it's too time consuming.
b. the joint alpha level decreases.
c. you inflate the experiment wise alpha.
d. you will be forever shunned by statiscians.
Question 6 of 10
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
If the series is A B C D then the next one is E
Vanessa caught one fish with a mass of 1.78 kilograms and a second fish with a mass of 1.46 kilograms. What is the total mass, in kilograms, of both fish?
P= A+B+C
-----------
3
solve for c
Answer:
c=3a-3b+3p
Step-by-step explanation:
I think that's the answer
Help with 10 c). Plssss
Answer: It’s B or E I would go with id say E
Step-by-step explanation:
What is the circumference of this circle? (Use 3.14 for Pi)
Circumference of circle(C)=2πr
=2×3.14×5
=31.4
Step-by-step explanation:
using formula of Circumference of circle
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
Evaluate Piecewise Functions, please help asap! Thank you!
Answer:
4, -1, 5, -2
Step-by-step explanation:
Work out the value of (√99 - √11)²
Answer: 44
Step-by-step explanation:
(√99 - √11)²
simplify the expression
(3√11 - √11)^2
collect like terms
(2√11)^2
use the properties of exponents
4 x 11
answer: 44
Has been listed at a price of $761. 98 before tax if the sales tax rate is 6. 5% and the total cost of the camera with sales tax
The total cost of the camera after including the sales tax in the cost of camera is found to be $819.1285.
The final price can be calculated once we figure out the value of 6.5% of $761.98. Solving this quandary is our first task.
Now, this result would be added back to the original price.
By first converting 6.5% to a decimal, which becomes 0.065, adding one to that, which equals 1.065, then multiplying by the camera's price, which is $761.98, we can accomplish it in a single step. 761.98 x 1.075 = 819.1285.
The total cost of the laptop is $819.1285, rounded up to two decimal places as we are dealing with money.
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Solve the given initial-value problem. 3 11 16 × -(: * *:)* X' = 1 1 3 X(t) = 3 4 -t 1 0 4 0 X, X(0) : (0) - (5) =
The constant of integration C1 was found by using the initial condition X'(0) = (-3/8), and the constant C2 was found by using the initial condition X(0) = (0) - (5).
To solve the given initial-value problem, we start by rearranging the equation:
3 11 16 × -(: * *:)* X' = 1 1 3
-(: * *:)* X' = (1/16) (1/11) (1/3)
Integrating both sides with respect to t:
-(: * *:)* X = (1/16) t + C1, where C1 is the constant of integration.
Multiplying both sides by the inverse of the matrix -(: * *:) gives:
X = (-1/8) t + C1/8 + C2, where C2 is another constant of integration.
To find the values of C1 and C2, we use the initial condition X(0) = (0) - (5):
X(0) = (-1/8) (0) + C1/8 + C2 = -5
C1/8 + C2 = -5
Since X'(t) = (-3/8), we have X'(0) = (-3/8). Using the equation X'(t) = (-3/8) and the initial condition X(0) = (0) - (5), we can solve for C1:
X'(t) = (-1/8) => (-3/8) = (-1/8) + C1/8 => C1 = -2
Substituting C1 = -2 into C1/8 + C2 = -5 gives:
(-2)/8 + C2 = -5 => C2 = -39/8
Therefore, the solution to the initial-value problem is:
X = (-1/8) t - 1/4 - (39/8)
The solution to the given initial-value problem is X = (-1/8) t - 1/4 - (39/8). The constant of integration C1 was found by using the initial condition X'(0) = (-3/8), and the constant C2 was found by using the initial condition X(0) = (0) - (5).
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Pls help I don’t have much time.
Answer:
Dude dont spend 100 points! This place is scamming people
Step-by-step explanation:
An online streaming service that offers TV shows, documentaries, and movies charges an initial fee of $20. 25 and an additional monthly membership fee of $3. 75. The total cost, N(t), for a member after t months can be expressed with the function N(t) = 3. 75t+ 20. 25. What is the range of the function in the context of the problem?
The range of the function N(t) = 3.75t + 20.25 is **[20.25, ∞)**, where 20.25 represents the minimum value (corresponding to the initial cost) and ∞ represents the unlimited maximum value as t approaches infinity.
The range of the function N(t) = 3.75t + 20.25, in the context of the problem, represents the possible values for the total cost (N) after a certain number of months (t).
The function N(t) = 3.75t + 20.25 is a linear equation, where t represents the number of months and 3.75t represents the monthly membership fee, while 20.25 represents the initial fee. By plugging in different values of t into the equation, we can determine the corresponding values of N(t) and establish its range.
To find the range, we need to consider the minimum and maximum values of N(t). Since the monthly membership fee of $3.75 will increase linearly with each month, the minimum value of N(t) occurs when t = 0 (representing the initial membership purchase). Plugging in t = 0 into the equation, we get:
N(0) = 3.75(0) + 20.25 = 20.25
Hence, the minimum value of N(t) is $20.25, which represents the total cost at the start of the membership.
To determine the maximum value of N(t), we need to consider an arbitrary large value of t. As t increases, the monthly membership fee contributes more significantly to the total cost. However, there is no upper limit mentioned in the problem, so we can assume that t can be any positive real number. Consequently, there is no specific maximum value for N(t), and it can increase indefinitely.
In summary, the range of the function N(t) = 3.75t + 20.25 is **[20.25, ∞)**, where 20.25 represents the minimum value (corresponding to the initial cost) and ∞ represents the unlimited maximum value as t approaches infinity.
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how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Simplify the algebraic expression
\(12x + 3 - 4x + 7 \\ 12x - 4x + 3 + 7 \\ 8x + 10 \\ \\ \\ 8 - 7x - 13 + 2x \\ 8 - 13 - 7x + 2x \\ - 21 - 5x \\ - 5x - 21 \\ \\ \\ - 3x - 18 + 5x - 2 \\ - 3x + 5x - 18 - 2 \\ 2x - 20\)
PLEASE GIVE BRAINLIEST
Answer:
1) 8x+10
2) -5x-6
3) 2x-20
Step-by-step explanation:
We are given:
12x+3-4x+7
rearrange like terms
12x-4x+3+7
simplify
8x+10
We are given:
8-7x-13+2x
rearrange like terms
-7x+2x+8-14
simplify
-5x-6
We are given:
-3x-18+5x-2
rearrange like terms
-3x+5x-18-2
simplify
2x-20
Hope this helps! :)
Alfred draws candles randomly from a pack containing four colored candles of the same size and shape. there are two red candles one green candle and one blue candle. he draws one candle and then draws another candle without replacing the first one. find the probability of picking one red candle followed by another red candle and show the equation used.
To find the probability of picking one red candle followed by another red candle without replacement, we need to consider the total number of possible outcomes and the number of favorable outcomes. So the probability of picking one red candle followed by another red candle without replacement is 1/6.
First, let's determine the total number of possible outcomes. Alfred draws one candle from the pack, leaving 3 candles. Then, he draws another candle from the remaining 3 candles. The total number of possible outcomes is the product of the number of choices at each step, which is 4 choices for the first draw and 3 choices for the second draw, resulting in a total of 4 * 3 = 12 possible outcomes. Next, let's determine the number of favorable outcomes. To have a favorable outcome, Alfred needs to draw a red candle on both draws. Since there are 2 red candles in the pack, the number of favorable outcomes is 2 * 1 = 2.Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability of picking one red candle followed by another red candle is 2/12 = 1/6.Equation used: Probability = Number of favorable outcomes / Total number of possible outcomes.
In conclusion, the probability of picking one red candle followed by another red candle without replacement is 1/6.
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A lawn is 4m longer than it is wide. The total area of the lawn is 30 metres squared. What is its perimeter? Give your answer to 2 d.p.
Answer:
7.5
Step-by-step explanation:simply divide 30 and 4 and the answer is 7.5