Solve for u.u^2-u-12=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
Answers
we have the quadratic equation
[tex]u^2-u-12=0[/tex]we have that
a=1
b=-1
c=-12
Applying the formula to solve a quadratic equation
[tex]u=\frac{-(-1)\pm\sqrt{-1^2-4(1)(-12)}}{2(1)}[/tex][tex]u=\frac{1\pm7}{2}[/tex]The values of u are
u=4 and u=-3
therefore
The answer is
u=-3,4Related Questions
how much rupees of 12 1/2% is Rs.45
Answers
Answer: Rs. 360
Step-by-step explanation:
let x of 12 1/2%=45
=> x.25/200=45
=> x/8=45
=> x=45.8
=> x=360
it is Rs 360
Find the total surface area of this prism where the cross section is an isoceles triangle 5 14 24 10
Answers
Total surface area = 620
Moreover, The total area covered by an isosceles triangle is called its area. For an isosceles triangle, the area is easily calculated if the height and base are known. Multiplying the height by the base and dividing it by 2 gives us the area of an isosceles triangle.
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The figure is not drawn to scale. m
Answers
For the given function
The sum of all angles = 360°
So,
[tex]\begin{gathered} y+x+125+90=360 \\ m\angle x=27 \\ So,\text{ } \\ y+27+125+90=360 \\ y+242=360 \\ y=360-242=118 \end{gathered}[/tex]So, the difference between x and y will be:
[tex]y-x=118-27=91[/tex]So, the answer will be:
∠x is 91° smaller than ∠y
The base of this right prism is a rectangle. What is the surface area of the prism? Height = 10 ft
Answers
Surface area of a rectangular prism formula
[tex]SA=2(wl+hl+hw)[/tex]where w is width, l is length, and h is height.
Substituting with w = 4 ft, l = 6 ft, and h = 10 ft, we get:
[tex]\begin{gathered} SA=2(4\cdot6+10\cdot6+10\cdot4) \\ SA=2(24+60+40) \\ SA=2\cdot124 \\ SA=248\text{ ft}^2 \end{gathered}[/tex]
Use integers or fractions for any numbers in the expression.
Answers
Solution:
Consider the following injective function:
[tex]f(x)=\frac{3x+6}{x-5}[/tex]this is equivalent to:
[tex]y=\frac{3x+6}{x-5}[/tex]by cross-multiplication, this is equivalent to:
[tex](x-5)y\text{ = 3x+6}[/tex]now, applying the distributive law, we get:
[tex]xy-5y\text{ = 3x+6}[/tex]this is equivalent to:
[tex]xy\text{ -5y -3x = 6}[/tex]Applying the common factor, we get:
[tex]x(y-3)\text{ -5y = 6}[/tex]this is equivalent to:
[tex]x\text{ (y-3)}=\text{ 6+5y}[/tex]solving for x, we get:
[tex]x\text{ = }\frac{6+5y}{y-3}[/tex]so that, we can conclude that the correct answer is:
[tex]f^{-1}(x)=\frac{6+5x}{x-3}[/tex]270 bottles are packed in 10 boxes. how many bottles are there in each box?
Answers
Answer:
27
Step-by-step explanation:
Divide 270 by 10
A set of data is summarized by the stem and leaf plot below.
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A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
With this in mind we conclude that:
There are 8 values in the data set which are greater than or equal to 20 and less than or equal to 29. This comes from the fact that we have to count how many leafs are in the stem 2.
There are 6 values in the data set which are greater than or equal to 10 and less than or equal to 19. This comes from the fact that we have to count how many leafs are in the stem 1.
There are 14 values in the data set which are greater than or equal to 40 and less than or equal to 49. This comes from the fact that we have to count how many leafs are in the stem 4.
I'm stuck with my math word problem pls helped me
2/2
Answers
Answer:
A. [tex]\frac{c}{11} *7-48[/tex]
Step-by-step explanation:
A circle passes through the points (3, 2) and (7, 2) and has radius 2√2. Find the two possible equations for this circle.
Answers
Answer:
(x-5)²+y² = 8(x-5)²+(y-4)² = 8Step-by-step explanation:
radius, r = 2√2
let the center be A(a, b):
The distance from the center to any of the 2 points is r.
So for (7, 2):
it satisfies the equation:
(x-a)²+(y-b)² = r²
Substituting x and y:
(7-a)²+(2-b)² = (2√2)²
squaring both sides:
(7-a)² + (2-b)² = 8
a² +b² - 14a -4b + 49+ 4= 8
a² +b² - 14a -4b + 45= 0 (Eqn 1)
For (3, 2):
it also satisfies the equation:
(x-a)²+(y-b)² = r²
Substituting x and y:
(3-a)²+(2-b)² = (2√2)²
squaring both sides:
(3-a)² + (2-b)² = 8
a² +b² - 6a -4b + 9+ 4= 8
a² +b² - 6a -4b + 5= 0 (Eqn 2)
We can now proceed by elimination:
(Eqn 2) - (Eqn 1):
(a² +b² - 6a -4b + 5) - (a² +b² - 14a -4b + 45) = 0
- 6a - -14a+ 5 - 45 = 0
8a - 40 = 0
8a = 40
a = 40/8
a = 5Putting a back into (Eqn 2):
a² +b² - 6a -4b + 5= 0
5² +b² - 6(5) -4b + 5= 0
25 +b² - 30 -4b + 5= 0
b² -4b = 0
b(b -4) = 0
Values of b:
b = 0 and b = 4POSSIBLE EQUATIONS OF CIRCLE:
Since we have 2 values of b, we have 2 possible centers:
(5, 0) and (5, 4)
Putting the centers into the standard equation of the circle above, we obtain:
(x-5)²+y² = 8 and(x-5)²+(y-4)² = 8PLEASE VOTE AS BRAINLIEST.
BLAISE M.
The __________ shows the number of data items with values less than or equal to the upper class limit of each class.
Answers
Answer: Cumulative frequency distribution
Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)
the population (in thousands) of raleigh, north carolina from 2000 through 2008 can be modeled by , where t is the year since 2000. in 2006, the population was 363,000. without rounding the value of k, use your model to predict the population in 2017, round to the nearest thousands. the population in 2017 is:
Answers
The value of k - 0.3753, used to predict the population in 2017, the population in 2017 is 508861.
population of given by P = 289.81e^Kt
in 2000 population P(0)=289.81 thousand
in 2006 population P(6) = 363000
363000 = 289810[tex]e^{k6}[/tex]
k = 1/6 ln | 363000 /289810 |
k = 0.3753
Population in 2017 --> t =17
P(15) = 289810[tex]e^{k6}[/tex]
P(15) = 508861.32
What is Population ?A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from which a statistical sample is taken in statistics. It could be a collection of people, things, occasions, organizations, etc. To make inferences, use populations. A population can be all the students at a particular school. It would contain all the students who study in that school at the time of data collection
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he altitude of a triangle is increasing at a rate of 3.000 centimeters/minute while the area of the triangle is increasing at a rate of 4.000 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.500 centimeters and the area is 88.000 square centimeters?
Answers
The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is [tex]$ -\frac{9.26316}{4.75d}[/tex].
What is meant by the altitude of a triangle?A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.
A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.
Let A be the area of the triangle
h be the altitude
b be the base
The formula that relates the three is the area of a triangle
A = (1/2) bh
Note that anything listed as a "rate" is a derivative value.
dh (rate of change of altitude) = 3.000 cm/min
dA (rate of change of area) = 4 cm²/min
h = 9.500 cm
A = 88.000 cm²
Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.
dA = (1/2) × db × h + (1/2)b × dh
substitute the values in the above equation, we get
4 = (1/2) × db × 9.5 + (1/2) b × 3.000
88 = (1/2) × b × 9.5
b = 18.52631
Now, looking back at our derivative
4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000
simplifying the above equation, we get
4 = 4.75 db + 13.26316
b =[tex]$ -\frac{9.26316}{4.75d}[/tex]
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"Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
The slope of the line = rise of the line / run of the line = 2/2 = 1.
How to Find the Slope of a Line?The slope (m) of a line can be determined by finding the ratio of the rise of the line to the run of the line, which is, the change in y over the change in x.
Referring to the image attached below, the blue line in the given graph shows the rise of the line while the red line shows the run of the line.
Therefore:
Rise of the line = 2 units
Run of the line = 2 units
Slope of the line (m) = rise/run = 2 units/2 units
Slope of the line (m) = 1
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When an integer is subtracted from 8 times the next consecutive integer, the difference is -20. Find the value of the lesser integer.
Answers
Answer: -4
Step-by-step explanation:
Let the integer be x.
[tex]8(x+1)-x=-20\\\\8x+8-x=-20\\\\7x+8=-20\\\\7x=-28\\\\x=-4[/tex]
So, the integers are -4 and -3.
Given the equation 12.75y = 38.25, determine the value of y.
Answers
Answer:
y = 3
Step-by-step explanation:
12.75y = 38.25
To find the value of y, divide each side by 12.75
12.75y/12.75 = 38.25/12.75
y = 3
Marco charges $42.99 for a
repair that takes 2 hours.
Marco charges $87.99 for a
repair that takes 5 hours.
for the slope and y intercept
Answers
Answer:
y-intercept= 12.99 slope= 15.00x+12.99
Step-by-step explanation:
Factor Pairs (HIGH POINTS!)
Answers
Answer:
1. 8 softballs
2. 16 softballs
3. 24 softballs
4. 32 softballs
5. 40 softballs
6. 48 softballs
Step-by-step explanation:
You rent an apartment that costs \$1000$1000 per month during the first year, but the rent is set to go up 8% per year. What would be the rent of the apartment during the 5th year of living in the apartment? Round to the nearest tenth (if necessary).
Answers
If you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount of the apartment during the 5th year of living in the apartment is $1469.32
The initial rent amount = $1000
The percent of rent increase each year = 8%
Time period = 5 years
Here we can use the compound interest equation
A = [tex]P(1+\frac{r}{100})^t[/tex]
Substitute the values in the equation
The rent amount of the apartment during the 5th year of living in the apartment = [tex]1000(1+\frac{8}{100})^5[/tex]
= $1469.32
Hence, if you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount of the apartment during the 5th year of living in the apartment is $1469.32
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7. |4n+ 2|= 34 solve for “N”
Answers
By solving |4n+2|=34 solve for N we get 8 .
What is N factor?
The factorial of a non-negative integer n, denoted by n!, is the product of all positive of integers less than or equal to n. The factorial of n also equals to the product of n with the next smaller factorial: For example, These are value of 0! is 1, according to the convention for an empty of product.
Sol-|4n+2|=34
Split into two equations
4n+2 = 34 or 4n+2=-34
4n+2 =34
Rearrange variable to the left side of the equation
4n =34-2
Calculate the sum or difference
4n=32
Devide both side of the equation by the coefficient of variable
n=32/4
Cross out the common factor
n=8
When n=8
LHS = |4×8+2|=34
RHS =34
LHS =RHS
Thus 8 is valid.
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[tex]a(a-9)=0[/tex] yyyyyyyyyyyyyyy
Answers
Answer:
a = 0 , a = 9
Step-by-step explanation:
a(a - 9) = 0
equate each factor to zero and solve for a
a = 0
a - 9 = 0 ⇒ a = 9
for f(x)=3/8x-7, find f(-16)
Answers
The given function is
[tex]f(x)=\frac{3}{8}x-7[/tex]The expression f(-16) means we have to evaluate the function when x = -16.
[tex]\begin{gathered} f(-16)=\frac{3}{8}(-16)-7 \\ f(-16)=-3\cdot2-7=-6-7=-13 \end{gathered}[/tex]Therefore, f(-16) is equal to -13.how do i factor 12x² - 48 ?
Answers
Answer:
144x - 24
Step-by-step explanation:
12 is the highest common factor (HCF) therefore it goes outside of the brackets. Then, 12x^2 divided by 12 will give x^2, so that is the first term inside the brackets. -48 / 12 = -4 so that is the second term in the bracket.
Identify the following scatter plots as having a positive correlation,
negative correlation, or no correlation. Explain your reasoning.
Need help ASAP!!!
Answers
The given scatterplot has no correlation. This is because there is no pattern among the dots on the scatterplot.
What is correlation?Correlation is a measure that is used in statistics to measure the linear relationship that exists between two variables. Correlation can either be positive, negative or zero. The closer the correlation coefficient is to one, the higher the correlation.
Positive correlation is when two variables move in the same direction. When drawn on a scatterplot, the line of best fit is upward sloping. The coeffect of correlation for positive correlation is always positive.
Negative correlation is when two variables move in different directions. When drawn on a scatterplot, the line of best fit is downward sloping. The coeffect of correlation for negative correlation is always negative.
Zero correlation or no correlation is when there is no relationship between the variables. When drawn on a scatterplot, there is no discernible patterns among the variables.
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4
Ryan is installing new flooring in his house. Ryan can install 144 square feet of flooring in
3 hours. How much new flooring can Ryan install in 21 hours?
OA. 1,008 square feet
OB. 252 square feet
OC. 3,024 square feet
OD. 3,049 square feet
Answers
. n+(t+2) = n +(2+t) is an example of which property? |n+ (t+2)=n+(2+t) ¿es un ejemplo de esta propiedad?
Answers
Answer:
The equation is an example of the associative property of addition.
Step-by-step explanation:
Associative property of addition: changing the grouping of addends does not change the sum.
For example: A+(B+C) = (A+B)+C.
What is output by the following code? Select all that apply.
c = 2
while (c < 12):
print (c)
c = c + 3
Answers
Step-by-step explanation:
that is not mathematics, and I am not sure, if you listed everything, but the result to such a loop is
25811
because it first prints the Imuran content of c (2).
then it increases the content of c by 3. c is now 5
then it checks that 5 is still smaller than 12 (yes it is), and it prints 5.
then it prints 8. then 11. and then c becomes 14 and is therefore larger than 12. and the loop ends.
I don't know what your particular print command does, but I assume it is just a basic "bring the parameter to output". in that case it will write all numbers right after the previous number.
hence : 25811
any given season, a soccer team plays 65 % of their games at home.
When the team plays at home, they win 83 % of their games.
When they play away from home, they win 26 % of their games.
find the probability the team wins with explanation
Answers
Based on the percentage of games played at home by the team, and the percentage win rate, the probability that the team wins is 63.05%
How to find the probability the team wins?First, find the probability that the team wins playing at home:
= Percentage win rate at home x Percentage played at home
= 83% x 65%
= 53.95%
Then find the probability of winning away:
= Percentage win rate away x Percentage played away
= 26% x (1 - 65%)
= 9.1%
The probability the team wins is:
= 53.95 + 9.1
= 63.05%
In conclusion, the probability of the team winning at home and the probability of them winning away, can be summed up to find the probability of the team winning which is 63.05%.
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There are two bags containing only black and green marbles.
Answers
Event 4, Event 1, Event 3, Event 2
Explanations:Number of black marbles in bag A = 11
Number of green marbles in bag A = 9
Total number of marbles in bag A = 11 + 9 = 20
Number of black marbles in bag B = 8
Number of green marbles in bag B = 2
Total number of marbles in bag B = 8 + 2 = 10
Event 1:
Likelihood of choosing a black marble from bag A = 11/20 = 0.55
Event 2:
Likelihood of choosing a black or green marble from bag A = 11/20 + 9/20
Likelihood of choosing a black or green marble from bag A = 0.55 + 0.45
Likelihood of choosing a black or green marble from bag A = 1
Event 3:
Likelihood of choosing a balck marble from bag B = 8/10 = 0.8
Event 4:
Likelihood of choosing a purple marble from bag B = 0
Since there is no purple marble in bag B
Arrangement of the events from the least likely to the most likely will be:
Event 4, Event 1, Event 3, Event 2
Tiana made lemonade for a party. Her family drank half of the lemonade. After the party, she gave one-third of the remaining lemonade to her neighbors. If Tiana has 210 ounces of lemonade remaining after the party and giving some away to her neighbors, how many ounces of lemonade did she start with? Show your work.
Answers
The amount of lemonade Tina made in the starting is 630 ounces.
Given that:-
Fraction of lemonade drank by her family = 1/2
Fraction of lemonade given to neighbors = 1/3 of remaining
Amount of lemonade left with her at the end = 210 ounces
We have to find the amount of lemonade Tina made in the starting.
Let the amount of lemonade Tina made in the starting be 6x.
Hence,
Amount of lemonade drank by her family = (1/2)*6x = 3x
Remaining lemonade = 6x - 3x = 3x
Amount of lemonade given to neighbors = (1/3)*3x = x
Remaining lemonade = 3x - x = 2x = 210 ounces
Hence,
x = 210/2 = 105 ounces
Amount of lemonade Tina made in the starting = 6x = 6*105 = 630 ounces.
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Please help me I have 5 minutes left!!!
Answers
A proportion is an equation in which two ratios are set equal to each other. No option is satisfying the proportion
What is Ratio and Proportion?Ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A proportion is an equation in which two ratios are set equal to each other.
In the given question, rayon drove 320 miles in 5 hours to complete the first part of his trip. 12 hours to drive 768 miles.
we can write this
320miles/5 = 768 miles/12
320miles/768 miles=5/12
In option d the values are not given in a correct way. It doesnot hold for the proportion.
Hence no option is correct.
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