solve the equation x^{3}-8x^{2}-20x=0
Answer:
[tex]x(x {}^{2} - 8x - 20) = 0[/tex]
Use the quadratic formula to simply the second degree equation;
[tex]x(x + 2)(x - 10)[/tex]
[tex]x1 = 0[/tex]
[tex]x2 = - 2[/tex]
[tex]x3 = 10[/tex]
If PQ= 18 units, where should the midpoint lie to divide the line segment into two congruent segments?
Can anyone help in this question......
Answer:
They are all 100
Step-by-step explanation:
Each side has a meaning it is the same and all but one have an a. The one that doesnt has 100.
The answer is 100
Have an amazing day!
PLEASE RATE!!
Step-by-step explanation:
Total angle of regular pentagon = 540
4a + 100 = 540
4a = 440
a = 110°
jessica's fish tank has 19 liters of water in it. she plans to add 5 liters per minute until the tank has more than 59 liters. what are the possible numbers of
minutes jessica could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
Answer:
8 minutes.
Step-by-step explanation:
Using ' t ' for the number of minutes.
" 59 > 19 + 5t "
→ Solve for t...
= 59 > 19 + 5t
= 59 - 19 > 5x
= 40 > 5t
= 40/5 > t
= 8 > t
Thus, It will take 8 minutes to add 59 litres of water.
19+5t>59
5t>59-19
5t>40
t>8
Which inequality is represented on the line?
-11-10
Answer:
Ello Haikyuu here!
Step-by-step explanation:
Inequalities on a number line. Inequalities can be represented on a number line as shown in the inequalities below: Note: the open circle above a number means it is not included as part of the solution to the inequality while the solid circle means that it is.
uh I hope this is right, i'm not sure
but here ya go! :3
What is the following quotient? StartFraction 2 Over StartRoot 13 EndRoot StartRoot 11 EndRoot EndFraction.
Function assigns one element of one set to the other specific element of another set. The quotient of the fraction [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is [tex]{\sqrt{13}-\sqrt{11}}[/tex].
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the fraction is given to us,
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex]
Rationalizing the fraction we will get,
[tex]=\dfrac{2}{\sqrt{13}+\sqrt{11}} \times \dfrac{{\sqrt{13}-\sqrt{11}}}{{\sqrt{13}-\sqrt{11}}}\\\\= \dfrac{2({\sqrt{13}-\sqrt{11}})}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\= \dfrac{2({\sqrt{13}-\sqrt{11}})}{13-11}\\\\=\dfrac{2({\sqrt{13}-\sqrt{11}})}{2}[/tex]
Now, if we divide the numerator by the denominator to get the quotient we will get,
[tex]= \dfrac{2({\sqrt{13}-\sqrt{11}})}{2}\\\\={2({\sqrt{13}-\sqrt{11}})}\div 2\\\\={\sqrt{13}-\sqrt{11}}[/tex]
Hence, the quotient of the fraction [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is [tex]{\sqrt{13}-\sqrt{11}}[/tex].
Learn more about Function:
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The quotient of the given number start Fraction 2 over start root 13 end root start root 11 end root end Fraction.
[tex]\sqrt{13}-\sqrt{11}[/tex]
What is the quotient?Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The number Start Fraction 2 Over Start Root 13 End Root Start Root 11 End Root End Fraction given can be written as,
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex]
Let the quotient of this division is n. Therefore,
[tex]n=\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex]
By rationalizing the denominator, we get,
[tex]n=\dfrac{2}{\sqrt{13}+\sqrt{11}}\times\dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\n=\dfrac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\n=\dfrac{2(\sqrt{13}-\sqrt{11})}{13-11}\\\\n=\dfrac{2(\sqrt{13}-\sqrt{11})}{2}\\n=\sqrt{13}-\sqrt{11}[/tex]
Hence, the quotient of the given number start Fraction 2 Over Start Root 13 End Root Start Root 11 End Root End Fraction.
[tex]\sqrt{13}-\sqrt{11}[/tex]
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Please help :( On the coordinate grid shown below, pentagon J is similar to pentagon K.
Which sequence of transformations could be applied to pentagon J to create pentagon K?
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
B. a reflection across the x-axis, then a translation 2 units up and 8 units right
C. a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right
D. a reflection across the y-axis, then a translation 4 units right
Answer:
A
Step-by-step explanation:
i think it's A, i am not 100% sure and i cannot give you a full explanation why because i am doing it in my head, but i mentally did all the other ones and A is the only one that would work
Can anyone tell me what median,mode, and mean is? thanks :)
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
Step-by-step explanation:
Pls, choose me as brainliest!
Max loves fishing. He and his family chartered a fishing boat that left Florida and traveled towards the Bahama Islands at an
average speed of 10 km/hour. Some time later a cruise ship left traveling in the same direction but at an average speed of 14
km/hour. After traveling for ten hours the cruise ship caught up with the fishing boat. How long did the fishing boat travel before
the cruise ship caught up?
Note: Remember to find the time the fishing boat was traveling not just what x is.
Select the correct response:
28 hours
24 hours
14 hours
12 hours
The fishing boat traveled for 14 hours before the cruise ship caught up.
We have,
Let's assume that the fishing boat traveled for x hours before the cruise ship caught up.
In that time, the fishing boat covered a distance of 10x km.
During the same 10 hours, the cruise ship traveled 14 x 10 = 140 km.
Since both the fishing boat and the cruise ship covered the same distance, we can write:
10x = 140
Solving for x, we get:
x = 14
Therefore,
The fishing boat traveled for 14 hours before the cruise ship caught up.
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According to an article, 75% of high school seniors have a driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a driver's license. Find the probability that more than 77% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met
Using the normal distribution and the central limit theorem, it is found that there is a 0.2119 = 21.19% probability that more than 77% of the sample have a driver's license.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
75% of high school seniors have a driver's license, hence p = 0.75.A sample of 300 is taken, hence n = 300.The conditions are verified because:
np = 300 x 0.75 = 225 > 10.
n(1-p) = 300 x 0.25 = 75 > 10.
The mean and the standard error are given by:
[tex]\mu = p = 0.75[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.75(0.25)}{300}} = 0.025[/tex]
The probability that more than 77% of the sample have a driver's license is one subtracted by the p-value of Z when X = 0.77, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{0.77 - 0.75}{0.025}[/tex]
Z = 0.8
Z = 0.8 has a p-value of 0.7881.
1 - 0.7881 = 0.2119.
0.2119 = 21.19% probability that more than 77% of the sample have a driver's license.
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9
Rita buys a box of chocolates.
(Extra)
For every 2 plain chocolates there are 3 milk chocolates.
There are 30 chocolates in the box.
How many milk chocolates are there?
Show your method
Answer:
12 plain and 18 milk
Step-by-step explanation:
convert it to fraction first: 2/5 are plain and 3/5 is milk
30÷5= 6
2x6=12
3x6=18
to check wheter or not it is correct add the amount. if it gets the total, it is correct.
n - 5 = 3n + 1
solve for n.
Answer:
-3
Step-by-step explanation:
n-5=3n+1
3n-n= -5-1
2n= - 6
n=-3
2. Can a triangle have 2 obtuse angles?
Explain
Hich of the following is equivalent to 5 square root 13^3?
Answer:
I believe the answer is 65 square root 13, if im wrong pls give me the options to choose from
Quincy ordered a meal at a restaurant for $9.85. After a tax
of 3.3% was added, he added a 22% tip.
How much did Quincy pay?
Answer:
$12.42
Step-by-step explanation:
so the meal itself was $9.85
9.85*3.3% approximately equals $0.33
9.85+0.33=10.18
10.18*22% approximately equals $2.24
10.18+2.24=12.42
Therefore the answer is $12.42
How to Simplify 4y^2 x y^3?
Answer:
4y⁵
Step-by-step explanation:
xⁿ·xⁿ = xⁿ⁺ⁿ
1). 4y²·y³
2). 4(y²·y³)
3). 4y²⁺³ = 4y⁵
Find B in degrees. PLEASE HELP. MARKING BRAINLIEST!!!
Answer:
28.61
Step-by-step explanation:
[tex]tan^{-1} (6/11)[/tex]
Which of the following statements is NOT true?
The rate of change and the constant of proportionality are the same value in a proportional relationship.
The value of and the value of Ay are different in a proportional relationship.
A proportional relationship is a linear relationship.
The unit rate and the k-value are the same value in a proportional relationship.
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS
Answer:
i think its the first one
Answer:
-1 vertical, 5 horizontal
Step-by-step explanation:
On the y-axis, the shape has moved down 1, which is –1 vertical.
On the x-axis, the shape has moved right 5, which is 5 horizontal.
1. Martha can complete 15 activities a day at summer camp. She can choose between crafts or sports.
Answer:
art
Step-by-step explanation:
how to solve matrix addition and subtraction
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&3&3\\-4&3&3\end{array}\right] -\left[\begin{array}{ccc}4&-3&4\\-1&5&0\end{array}\right] =\left[\begin{array}{ccc}1-4&3+3&3-4\\-4+1&3-5&3-0\end{array}\right] =\left[\begin{array}{ccc}-3&6&-1\\-3&-2&3\end{array}\right][/tex]
Write an equation in slope intercept form of the line that has a slope of 6 and goes through the point (3,-2)
Answer: y=6x-20
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x+4y=4
Answer:y=x+7
Step-by-step explanation:
I don’t understand the question m
Answer:
It equals 77 degrees
Find the sum of 2+37/8+20/9
8/61/72
Step-by-step explanation:
use scientific calculator ❗
Linear, Quadratic, or Exponential.
please number the answers!
Someone please help im on timed test
What is the quotient of 7.92 times 10^7 and 7.2 times 10^3 expressed in scientific notation?
Given parameters:
First number = 7.92 x 10⁷
Second number = 7.2 x 10³
Quotient is the number obtained division;
Now;
[tex]\frac{7.92 x 10^{7} }{7.2 x 10^{3} }[/tex]
= [tex]\frac{7.92}{7.2}[/tex] x 10⁷⁻³
= 1.1 x 10⁴
The quotient of the two numbers expressed in scientific notation is 1.1 x 10⁴
I dont understand this someone help please
Hello
3 + 5 + 7 = 15
cups of tomato = 105 x 5/15 = 35
Answer:
49
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 + 7 = 15 parts
divide cups of salsa by 15 to find value of one part of the ratio
105 ÷ 15 = 7 ← value of 1 part of the ratio , then
7 parts = 7 × 7 = 49
49 cups of tomato are required
The table shows the average number of hours of daylight per day for the last four months of the year. A 2-column table with 4 rows. The first column is labeled month of year with entries 9, 10, 11, 12. The second column is labeled average hours of daylight per day with entries 12. 37, 11. 37, 10. 57, 10. What is the correlation coefficient for the data in the table? –0. 993 –0. 791 0. 791 0. 993.
Answer:
a is the correct option
Step-by-step explanation:
The value of the correlation coefficient is -0.993, The correct option is A.
What is the Correlation Coefficient?The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.
The correlation coefficient is determined by using the following formula
[tex]\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}[/tex]
The values of the required data will be calculated from the data given
n = 4 rows
∑x = 42
∑y = 44.37
∑xy = 461.3
∑x^2 = 446
∑y^2 = 494
Putting the values in the equation of correlation coefficient:
r = -0.993
Therefore, the value of the correlation coefficient is -0.993, The correct option is A.
To know more about Correlation Coefficient
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For each value of x, determine whether it is a solution to 24<4x .
Answer:
No, Yes, No, Yes
Step-by-step explanation:
1. 24