Answer:
x=4
Step-by-step explanation:
First set the equation equal to 4:
-2x +12=4
Subtract 12 from both sides:
-2x +12=4
-12 -12
-2x=-8
Then divide each side by -2 to isolate the x:
-2x/-2=-8/-2
x=4
esto es verdadero oh falso
como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4
Answer
The missing value is 4/9
Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of 500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where x represents time in seconds and y represents the speed in rotations per minute.
The equation has been graphed as shown.
Assuming that the test was complete when the fan stopped spinning completely, how long was the test?
A.
10 seconds
B.
20 seconds
C.
100 seconds
D.
500 seconds
Answer:
b
Step-by-step explanation:
i did it in my head
There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple. If you were to grab one popsicle from the bag, what is the probability that it is purple or yellow? Enter your answer in simplest form. P(purple or yellow)
Answer:
yellow is 16% and purple is 20%
Step-by-step explanation:
the principal would like to assemble a committee of 15 students from the 20-member student council. how many different committees can be chosen?
There are 15,504 different committees that can be chosen from the 20-member student council to form a committee of 15 students.
To calculate the number of different committees that can be chosen from a 20-member student council to form a committee of 15 students, we can use the combination formula.
The number of combinations of selecting 'r' items from a set of 'n' items is given by the formula:
C(n, r) = n! / (r!(n - r)!)
In this case, we want to select 15 students from a pool of 20 members, so the formula becomes:
C(20, 15) = 20! / (15!(20 - 15)!)
Calculating this value:
C(20, 15) = 20! / (15! * 5!)
The factorial notation represents the product of all positive integers up to a given number. Evaluating the factorials:
20! = 20 * 19 * 18 * 17 * 16 * 15!
15! = 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5!
By canceling out common factors:
C(20, 15) = (20 * 19 * 18 * 17 * 16) / (5 * 4 * 3 * 2 * 1)
Simplifying:
C(20, 15) = 15,504
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Im not sure what to do please help
Answer:
9
Step-by-step explanation:
Step 1: Setup
First of all, note that 6 is the same as 6/1 since 6 divided by 1 is 6. Therefore, start by setting up the problem like this:
6/1
x
3/2
Step 2: Multiply
Multiply the numerators together (6 x 3 = 18) and multiply the denominators together (1 x 2 = 2) and make it into one fraction like so:
18/2
Step 3: Minimize
The greatest common factor of 18 and 2 is 2. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:
9/1
Step 4: Convert
Convert the improper fraction above to a whole number to get the answer:
9
That's it! Now you know how to calculate 6 times 3/2.
The answer is 4
Step by step explanation:
6 ÷ 3 = 4
2
To expand by three halves is to become 1.5 times what it was.
The weights at birth of five randomly chosen baby Orca whales were 425, 454, 380, 405, and 395 pounds. Assume the distribution of weights is normally distributed. Find a 98 % confidence interval for the mean weight of all baby Orca whales. Use technology for your calculations. Give the confidence interval in the form "estimate + margin of error." Round to the nearest tenth of a pound.
Answer:
To find the confidence interval for the mean weight of all baby Orca whales, we can use the following formula:
Confidence interval = estimate ± (critical value) × (standard error)
where:
estimate = sample mean
critical value = the value from the t-distribution that corresponds to our desired confidence level and degrees of freedom
standard error = standard deviation of the sample divided by the square root of the sample size
First, we need to calculate the sample mean and standard deviation:
Sample mean:
x = (425 + 454 + 380 + 405 + 395) / 5 = 411.8 pounds
Sample standard deviation:
s = sqrt(((425 - 411.8)^2 + (454 - 411.8)^2 + (380 - 411.8)^2 + (405 - 411.8)^2 + (395 - 411.8)^2) / 4) = 28.6 pounds
Next, we need to find the critical value from the t-distribution with degrees of freedom (n - 1) and our desired confidence level of 98%. With a sample size of 5, our degrees of freedom is 4. Using a t-table or a calculator, we find the critical value to be 3.747.
Finally, we can calculate the confidence interval:
Confidence interval = 411.8 ± 3.747 × (28.6 / sqrt(5)) = 411.8 ± 45.1
Rounded to the nearest tenth of a pound, the confidence interval is:
Confidence interval = 411.8 ± 45.1 = [366.7, 456.9]
Therefore, we can say with 98% confidence that the true mean weight of all baby Orca whales is between 366.7 and 456.9 pounds
Convert the equation 3x+2y=143x+2y=14 to slope intercept form.
The equation 3x+2y=14 can be written as in the slope-intercept form is y = (-3/2)x + 7.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of the line is:
3x + 2y = 14
The slope-intercept form is:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
After arranging:
2y = -3x + 14
y = (-3/2)x + 7
Thus, the equation 3x+2y=14 can be written as in the slope-intercept form is y = (-3/2)x + 7.
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A student buys a laptop priced at $1850. She pays a20% deposit and 12 equal monthly instalments. The interest rate is charged at 15% per annum on the outstanding balance
a) How much is each monthly instalments?
b) what is the total cost of buying the laptop on HP
a) Monthly instalments = $141.90, calculated using the present value of an annuity formula and 1.25% monthly interest rate.
b) Total cost of buying the laptop on HP = $2172.80, including the deposit amount and total instalments paid over the 12-month period.
a) The deposit amount is $1850 x 20% = $370. The remaining balance to be paid is $1850 - $370 = $1480. The interest rate charged per month is 15%/12 = 1.25%. Using the formula for the present value of an annuity, the monthly instalments can be calculated as $141.90 (rounded to the nearest cent).
b) The total cost of buying the laptop on HP can be calculated by adding the deposit amount to the total amount paid over the 12-month period. Therefore, the total cost is $370 + ($141.90 x 12) = $2172.80.
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Malcolm and Theo's families are both traveling to the same vacation resort. The equation d=65t models the distance, d, that Malcolm's family travels after t hours. How much faster did Malcolm's family travel than Theo's family
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. Malcolm's family travels 65 miles per hour faster than Theo's family.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. To calculate how much faster Malcolm's family travels than Theo's family, we must first know the speed of Theo's family. Let's say Theo's family travels at 25 miles per hour. To calculate the difference in speed between the two families, we must subtract 25 mph from 65 mph. The difference is then 40 mph, meaning Malcolm's family travels 40 mph faster than Theo's family.
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Andy bought 300 shares of a corporation that manufactures kitchen cabinets. He
bought the stock years ago for x dollars. He recently sold this stock for y dollars.
Express his capital gain as a percent of the original purchase price algebraically.
The equation for capital gain as a percent of the original purchase price will be equal to a = (y - x)/x × 100.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.
As per the given information in the question,
Use the equation for capital gain,
Let the selling price be y and the purchase price is x dollars.
Capital gain = Selling price - Purchase
Substitute the values,
Capital gain = y - x
Now, let's find out the percent increase.
Let's assume that 'a' is the percent increase.
So, the equation will be,
(a)(x) = y - x
ax = y - x
Divide both sides by x.
(ax)/x = (y - x)/x
a = (y - x)/x
Multiply the equation by 100 to show in percentage form,
a = (y - x)/x × 100
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A shopkeeper allowed 10% discount on his goals
to make 20% profit If he sold a watch for
Rs.10,170 with 13 %. VAT, by what percent
is the discourt to be increased to make only
12% profit
Answer:
To make only 12% profit, the discount should be increased to 16%
Step-by-step explanation:
The given information are;
The percentage discount on goods = 10%
The profit made from the sale of the watch = 20%
The amount the watch was sold = Rs.10,710
The percentage VAT included = 13%
Let the recommended selling price of the watch = X
Therefore, we have;
The price after 10% discount = 0.9×X
Which gives;
The amount the watch was sold = Price after 10% discount + Price after 10% discount ×VAT
The amount the watch was sold = 0.9×X + 0.9×X×13% = 0.9×X + 0.9×X×0.13
Rs.10,710 = 0.9×X + 0.9×X×0.13 = 1.017×X
X = Rs.10,170/1.017 = Rs. 10,000
The recommended selling price of the watch = Rs. 10,000
The profit was 20% of selling price which gives;
Profit = Selling price - Cost price = Rs. 9,000 - Rs. X = 0.2 × Rs. X
9000 - X = 0.2×X
9000 = X + 0.2×X = 1.2×X
X = 9000/1.2 = Rs. 7,500
To make only 12% profit, we have;
12% of Rs. 7,500 = 0.12 × Rs.7,500 = Rs. 900
Selling price = Cost price + Profit = Rs. 7,500 + Rs. 900 = Rs. 8,400
Percentage discount from Rs.10,000 to get Rs. 8,400 is given as follows;
Percentage discount = Y%
Therefore;
Y = (10,000 - 8,400)/10000 × 100 = 0.16 × 100 = 16%
Y = 16%
Therefore, to make only 12% profit, the discount should be increased to 16%.
Consider an experiment where a person flips a coin and records the result over multiple trials. The theoretical probability and the experimental probability and the experimental probability are compared at certain times during the experiment. during which trials can we guarantee that the experimental and theoretical probabilities will not be equal?
Answer:
It would be at the beginning of the trials
Step-by-step explanation:
A jar contains only pennis, nickels, dimes, and quarters. there are 24 pennies, 23 dimes, and 22 quarters. There are 80 coins in all. How many of the coins are not nickels? if n represents the number of nickels in the jar what equation could you use to find n?
Answer:
Step-by-step explanation:
m
If it wouldn’t bother someone would someone also mind giving me the steps to get the answer?
Answer:
SA = 10,800 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 40
w = 60
h = 30
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 60(40) + 30(40) + 30(60) )
SA = 2 ( 2400 + 1200 + 1800 )
SA = 2 ( 5400 )
SA = 10,800 ft²
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Have a GREAT day!!!
hey can you guys help me please? i kinda need it....
Answer:
Hey! Ok so the answers are A.50% B.100% C.80%
Step-by-step explanation:
Just predict the number to what they're next to.
Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨
Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
Determine the average rate of change in median age per year from 1930 to 1960.
a.
-0.5 years of age per year
b.
20 years of age per year
c.
-0.05 years of age per year
d.
+0.05 years of age per year
-0.05 is the average rate of change in median age per year from 1930 to 1960.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, a data set that gives the median age of an American man at the time of his first marriage.
Year Median age
1910 25.1
1920 24.6
1930 24.3
1940 24.3
1950 22.8
1960 22.8
1970 23.2
1980 24.7
1990 26.1
2000 26.8
The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)
The average rate of change from 1930 to 1960 = -0.05
Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.
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finding the intercepts asymptotes domain and range from the graph of a rational function
Answer:
(a) Vertical asymptote: x = 5
Horizontal asymptote: y = 0
(b) Domain: (-∞, 5) ∪ (5, ∞)
Range: (-∞, 0)
(c) x-intercept(s): None
y-intercept: -1
Step-by-step explanation:
Part (a)Vertical asymptoteA vertical asymptote is a vertical line that the curve gets infinitely close to, but never touches. It is displayed as a vertical dashed line on the given graph. Therefore, the vertical asymptote is:
x = 5Horizontal asymptoteA horizontal asymptote is a horizontal line that the curve gets infinitely close to, but never touches. It is displayed as a horizontal dashed line on the given graph. Therefore, the horizontal asymptote is:
y = 0\(\hrulefill\)
Part (b)DomainSince the graph has a vertical asymptote at x = 5, it means that the function is undefined at x = 5. Therefore, the domain of the graph will be all real numbers except x = 5:
(-∞, 5) ∪ (5, ∞)RangeSince there is a horizontal asymptote at y = 0 and the curve appears to be always below the x-axis, it indicates that the range of the graph will be all negative y-values. Therefore, the range of the graphed function is:
(-∞, 0)\(\hrulefill\)
Part (c)x-intercept(s)The x-intercepts are the x-values of the points where the curve intersects the x-axis, so when the y-coordinate of a point on the graph is zero.
As the given graph has a horizontal asymptote at y = 0 and the curve appears to be always below the x-axis, it implies that the graph does not cross the x-axis. Therefore:
No x-interceptsy-intercept(s)The y-intercept is the y-value at the point where the curve intersects the y-axis, so when the x-coordinate of a point on the graph is zero.
From inspection of the given graph, we can see that the curve crosses the y-axis at y = -1. Therefore:
y-intercept = -1ANSWER ASAP FOR BRANINETEST
Answer:
2 3/5
Step-by-step explanation:
Simply change the 1st fraction into improper form:
17/5 - 4/5
Then subtract
13/5
Then write into mixed fraction
2 3/5
Answer:
13/5 or 2 3/5
Step-by-step explanation:
HELP due in 4 minutes
if f(x)=-2x+4 find 3[f(1)]+3
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
Turn the Mix Number into a Improper Fraction a) 5 5 4 b) 3 8 3
Answer:
A: 25/4 B: 17/3
:)))))))))))))))))
Find the product using the Distributive Property. (2x+3)(x−4)
Answer:
2x² - 5x - 12------------------
Distributive Property is:
(a + b)(c + d) = ac + ad + bc + bdUse same rule to find the product:
(2x + 3)(x − 4) = 2x(x) - 2x(4) + 3x - 4(3) = 2x² - 8x + 3x - 12 = 2x² - 5x - 12The diagram shows a field PQRS.
PQ = 98m, QR = 67m and angle PQR = 90°.
There is a straight path from P to R.
Calculate the length of this path
Answer: 878
Step-by-step explanation:
sorry i dont know
According to the graph, what is the value of the constant in the equation
below?
Answer:
75 or A
Step-by-step explanation:
Just answered it myself! ^^
The value of constant in the equation is 75
How to determine the constant value?The equation of the graph is given as:
Height = Constant/Width
Make Constant the subject
Constant = Height * Width
From the graph, we have:
(Height, Width) = (3,25)
So, we have:
Constant = 3 *25
Constant = 75
Hence, the value of constant in the equation is 75
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What is the simplified slope intercept form
Answer:
y= - 5x+6
Step-by-step explanation:
The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)
Answer:
110
Step-by-step explanation:
Rate or proportion shows the relationship between the variation in the number of two variables.
Given that the ratio of alternative songs to total songs is 9:14.
Total songs = 308
Since the to every 14 total songs, there is 9 alternative songs.
Thus,
Number of alternative songs = \(\frac{9}{14}\) x 308
= 198
There are 198 alternative songs in the music library.
The number of songs that are NOT alternative songs = 308 - 198
= 110
Thus, there are 110 songs that are NOT alternative songs.
1+1=?
?(`'`w`'`)?
~\(ToT)/~
Answer:
the answer is 2...
Step-by-step explanation:
cause 1+1 is two
i need helppppp please
I Need help on the same thing
true or false: The circumference of a circle is about 3.14 times the diamter of a circle.
Answer:
True
Step-by-step explanation:
The equation to find the circumference of the circle = Diameter x 3.14
So, it is true.
Answer the following quections about the cost of automobile repairs: (A) What is the probabinty that the cost will be more than s47a? (Round your anawer to four dedinal places.) (b) What is the probatility that the cost wil be less than $7) (hound vour aneast to heur decimal glaces) (c) What is the probability thut the cost wis be between 4270 and 14 tog (hound your answer to four decimal 1 laces )
(a) Probability is not provided.
(b) Probability is not provided.
(c) Probability is not provided.
(a) The probability that the cost of automobile repairs will be more than $470 can be calculated based on the given information.
To calculate the probability, we need additional information about the distribution of automobile repair costs, such as the mean and standard deviation, or a probability distribution function. Without this information, we cannot determine the probability of the cost being more than $470.
(b) The probability that the cost of automobile repairs will be less than $70 can also be calculated based on the given information.
Similar to part (a), we need additional information about the distribution of automobile repair costs to determine the probability of the cost being less than $70. Without this information, we cannot calculate the desired probability.
(c) The probability that the cost of automobile repairs will be between $270 and $140 can be calculated based on the given information.
Again, without additional information about the distribution of automobile repair costs, such as the mean and standard deviation, we cannot calculate the probability of the cost falling between $270 and $140.
To accurately determine these probabilities, we would need more information about the distribution of automobile repair costs or specific assumptions about the distribution.
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