Answer:
X=8
Step-by-step explanation:
8+16=24
and 3(8)=24
Choose the equation that is best represented by the graph.
Answer:
D
Step-by-step explanation:
Because the y-intercept is -3
P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').
Answer:
(4- x)(x - 4) = 16 - x2 help me sir please
factor by grouping x^3 − 4x ^2 + 6x − 24
Answer:
[tex](x-4)(x^2+6)[/tex]
Step-by-step explanation:
x³-4x²+6x-24 is our equation
Once we factor it we get
[tex](x-4)(x^2+6)[/tex]
Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?
Answer:
3
Step-by-step explanation: because 15 divided by 5 equals 3
(5x-7)^2-1=8 solve for x
Answer:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1 - Simplify by expanding the brackets:
[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]
Step 2 - Subtract 8 from both sides so the equation equals 0:
[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]
Step 3 - Use the quadratic formula:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]
Plug variables in:
[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]
[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]
So x is either:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]
[tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]
[tex]x = \frac{4}{5}[/tex]
Hope this helps!
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet
Answer:
Step-by-step explanation:
Let the other leg = x
x^2 + 4^2 = (3x)^2
x^2 + 4^2 = 9x^2
4^2 = 9x^2 - x^2
16= 8x^2
16/8 = x^2
x^2 = 2
x = sqrt(2)
The lengths of the sides
x = sqrt(2)
other side =4
hypotenuse = 3*sqrt(2)
x = 1.4
other side= 4
hypotenuse = 3*1.4142
hypotenuse = 4.2
Write a linear function f with the values f(−1)=8 and f(5)=6.
A function is f(x)=
9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?
Answer:
Step-by-step explanation:
The volume of the tank= (50x30X20) cm^3
= 30000cm^3
= 30 l
1 l costs 300 tk
therefore 30 l costs= 30X300 taka
= 90000 taka
7(x+7)≤56 plz help im bad at math
Answer:x[tex]\geq[/tex]1
Step-by-step explanation:
remove the brackets
7x+49≤56
collect like terms
7x≤56-49
7x[tex]\geq[/tex]7
divide both sides by 7
x[tex]\geq[/tex]1
Can someone help me with this problem?
Answer:
16.6 ft^2
Step-by-step explanation:
1 foot = 0.3048 meter
1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2
≈ 16.6 ft^2
_____
Additional comment
The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.
Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.
Original Price of a computer $2,600.00 Tax:6.4%
NEED HELP ASAP (WILL GIVD BRAINELST)
Answer:
5
Step-by-step explanation:
The answer is 60/12 becuase we can simfly both of theese mixed numbers into an improper fraction, wich will be 4/3*15/4. We do the multiplication, and we get 60/12. 60/12 can be simplifed to 5 becuase 60 divided by 12 is 5
15-3x when x = to -2
Answer:
21 is the answer
Step-by-step explanation:
Given:
x = -2Let's use the given clue to solve the problem.
15 - 3x = Solution
=> 15 - 3(-2) = Solution
=> 15 + 6 = Solution
=> 21 = Solution
After working on this problem, we can conclude that 21 is our answer.
- [tex]GenuisUser[/tex] -
Answer:
21
Step-by-step explanation:
So, when given a question like this, we must plug in the number give for "x" in the equation.
[tex]15-3x = 15-3(-2)[/tex]
Now, we can simplify using PEMDAS
[tex]15+6 = 21[/tex]
Dont forget that a negative times a negative equals a positive!
Find the 6th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Step-by-step explanation:
geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).
s1 = 5
s2 = s1 × 1/3 = 5 × 1/3
s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9
sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)
s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243
PLease help middle school math 40 points
Answer:
b
Step-by-step explanation:
2/5 * 2x = 4/5
2/5 * 3 = 6/5 = 1 1/5
Answer:
B.
Step-by-step explanation:
Using the distributive property (multiplying 2/5 to both 2x and 3) we can get the answer 4/5x + 1 1/5.
I hope this helps :)
You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?
Answer:
You need 1 cup of sugar.
Step-by-step explanation:
16/20 = 4/5
1 1/4 = 5/4
5/4 x 4/5 = 1
You need 1 cup of sugar.
Please help if you can I'll even give you a brainiest answer.
A business valued at $96 000 is purchased for a down payment of 25% and payments of $4000 at the end of every three months. If interest is 9% compounded monthly,
what is the size of the final payment?
Write your answer as 2,569.43.
Size of final payment is $6392.43
Given that formula for compound interest is P(1+r/n[tex])^{nt}[/tex]
where P is initial principal
r is interest rate
n is compound times per period
t is time in years
We find all the variables in the formula in order to get our answer.
Initial principal = 96000 less 25%= 72000
interest rate = 9%
number of compound times= 12
time in years =4.25 years (whole period is 4.5 years since number of payments to complete balance will take 54 months)
Hence principal and CI after 4 years and 3 months(the second to last payment)
72000(1+0.09/12)^12x4.25=$105,393.6
We use $105,393.6 as our principal to calculate the whole interest and principal for the period in order to find last payment
105393.6(1+0.09/12)^12x0.25=$107,786.03
interest for the final month = $107786.03-$105,393.6=$2392.43
To get our final payment, we add the principal payment of $4000 to final compounded interest =$6392.43
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
Question 1 options:
s = c(w + rh)
s = c(w − rh)
s = w + rh/c
s = w − rh/c
The value of "s" as a function of other variables is s = (w - rh)/c
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
We will make "s" the subject of the formula:
Subtract rh from both sides
cs + rh - rh = w - rh
cs = w - rh
Divide both sides by c
cs/c = (w - rh)/c
s = (w - rh)/c
Hence the value of "s" as a function of other variables is s = (w - rh)/c
Learn more here: https://brainly.com/question/21406377
whats the answer can someone answer please
Answer:
8. b
9. d
Step-by-step explanation:
please help :,) it’s due tomorrow and i’m so confused
I cant really interpret it for you, but here's what all the numbers mean in context:
Constant
Coefficient
This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.The other 3 values for the constant can usually be ignored.
Wins
Coefficient
This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.SE Coefficient
This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.T-value
Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.Before moving on, I'll use these hypothesis:
H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁ slope ≠ 0 (alternative hypothesis, there is a relationship)P-value
This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.Alpha value
The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.Other things
S
This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etcR²
This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.Adjusted R²
This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.Conclusion
Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.
However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.
Please Help, i am stuck on this question......
what is a teachers most favorite tree
The price of gas goes up to $3.24 per gallon after a 9.4% increase. What was the price before the increase?
Answer:
i think this correct
Step-by-step explanation:
3.24=(1+9.4/100) x
then x= 2.961 $
ANALYZE The table below shows the values of a cubic function. Could there be a zero between
x= 2 and x = 3? Justify your argument.
ONLY QUESTION 30
Answer:
No; no sign change of g(x) in that interval
Step-by-step explanation:
The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.
There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].
_____
Additional comments
We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].
__
First differences of the table values are ...
-5, +1, +2, -3, 0
Second differences are ...
6, 1, -5, 3
Third differences are ...
-5, -6, +8
This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...
g(x) = -5/6x^3 +1/2x^2 +7/3x -1
You may want to discuss this question with your teacher.
5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights
3 7/8 + 6 5/8 =
9 12/8 = 10 4/8
10 4/8 = 10 1/2
The answer is 10 1/2
If you are not looking for a mixed fraction it should be..
21/2
What is the least common denominator of
1/3 and 7/9
Answer:
9
Step-by-step explanation:
9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.
may's dog weighed 16kg. the dog lost 800g after it fell ill.
Answer:
15200g
Step-by-step explanation:
Hope the Dog gets better XD
Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200
4 4/6 + 3 7/8 = ? ........................................
Answer:
[tex]8\frac{13}{24\\}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]
[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]
Determine whether the relation, {(-8, -6), (-5, 2), (-8, 1), (7, 3)}, is a function and justify your answer.
Answer:
5
Step-by-step explanation: