Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
11
Linda had a ribbon that measured foot long. She cut the ribbon into as
12
1
many -foot-long pieces as possible. What is the length of the leftover ribbon?
8
Answer:1/24
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
: )
At noon, a tank contained 5 cm of water. After several hours, it contained 4 cm of water. What is the percent decrease of water in the tank?
Answer:
20%
Step-by-step explanation:
Given parameters:
Initial volume of water = 5cm³
New volume of water = 4cm³
Unknown:
Percentage decrease of water in the tank = ?
Solution:
To find the percentage decrease;
Percentage decrease = [tex]\frac{Old - New}{Old}[/tex] x 100
Percentage decrease = [tex]\frac{5-4}{5}[/tex] x 100 = 20%
Unit 4: Linear Equations
Homework 6: Writing Linear equations (given two points)
Please tell me someone has the answers for every problem on here! I'm desperate, and I will probably fail this algebra class if I don't have this HW done. Please respond quick!
Find the maximum value and the minimum value of the function and the values of x and y for which they occur.
P 19x-5y60, subject to 5x + 9ys 45, 0 s ys4, and 0sx < 6 and y
The maximum value occurs where x =_______ and y occurs where x_________
The minimum value (Do not round until the final answer. Then round to two decimal places as needed.)
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!
Step-by-step explanation:
May u please help me ill give out the brainly
Answer:
sorry type it out
Step-by-step explanation:
Evaluate: (-10 + 15)/-3
Need answer asap
Answer:
5/3
Step-by-step explanation:
Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.
Hope this helps... Stay safe and have a great day!!! :D
A ratio can be expressed __ as a description, with a ___ , or as a ___.
Answer:
Answer - words, colon, fraction
Step-by-step explanation:
A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.
EXPLANATION:
A ratio is a statement of the quantitative relationship between two numbers in a given scenario.
- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"
- It can be expressed with a colon. E.g. "2:8"
- It can be expressed as a fraction. E.g. "2/8"
find the lowest number of four digits that can be divided by 22,36,and 42
Answer:
find the lcm of 22,36,and 42
Step-by-step explanation:
lcm of 22 = 11 x 2
lcm of 36 = 2 x 2 x 3 x 3
lcm of 42 = 2 x 3 x 7
so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000
Answer:
2,772
Step-by-step explanation:
First we find the LCM (Least common multiple) of the given numbers.
2 | 22, 36, 42
2 | 11, 18, 21
3 | 11, 9, 21
3 | 11, 3, 7
7 | 11, 1, 7
11 | 11, 1. 1
| 1, 1, 1,
LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772
Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.
Express each sum in sigma-notation
1 + 1/4 + 1/9 + 1/16 + ... + 1/400
9514 1404 393
Answer:
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
Step-by-step explanation:
We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
Solve the following equation for x 2x+22y=18
Answer:
x = -9 + 11y
Step-by-step explanation:
Simplifying
2x + -22y = -18
Solving
2x + -22y = -18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '22y' to each side of the equation.
2x + -22y + 22y = -18 + 22y
Combine like terms: -22y + 22y = 0
2x + 0 = -18 + 22y
2x = -18 + 22y
Divide each side by '2'.
x = -9 + 11y
Simplifying
x = -9 + 11y
Hope this helps!!
I need this done like rn so please help!
Answer:
No, because the number in 2011 multiplied by three is less than the number in 2015.
Step-by-step explanation:
i dunno just makes sense
Answer:
I think that it did not because 555*3 is not 900 so it can't equal it.
Step-by-step explanation:
A pair of dice is rolled 180 times. What is the
probability that a total of 7 occurs
(a) at least 25 times?
(b) between 33 and 41 times inclusive?
(c) exactly 30 times?
Answer:
0.86433
0.29782
0.07966
Step-by-step explanation:
Given that :
Number of trials (n) = 180
Probability that a total of 7 occurs
To obtain a total of 7 from a pair of dice :
Combinations:
(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ;(6, 1)
Sample space when a pair of dice is rolled = 6² = 36
Probability of success (p) = number of 7
combination possible ÷ sample space)
p = 6 / 36 = 0.1667
q = p' = 1 - p = 1 - 0.1667 = 0.8333
Using Normal approximation :
Mean (m) = np = 180 * 0.1667 = 30.006
Standard deviation (σ) = √npq
σ = √(180 * 0.1667 * 0.8333)
σ = 5.0003999
σ = 5.00
(a) at least 25 times?
P(x ≥ 25)
x = 25 - 0.5 = 24.5
Obtain the Zscore :
Z = (x - m) / σ
Z = (24.5 - 30) / 5
Z = -5.5/5
Z = -1.1
P(z ≤ - 1.1)
USing the z probability calculator :
P(z≥ - 1.1) = 0.86433
(b) between 33 and 41 times inclusive?
P(32.5 ≤ x ≤ 41.5)
Z =[ (32.5 - 30) / 5] ≤ x ≤ [ (41.5 - 30) / 5]
Z = 2.5/5 ≤ x ≤ 11.5 /5
Z = 0.5 ≤ x ≤ 2.3
Using z probability calculator :
P(z ≤ 0.5) = 0.69146
P(z ≤ 2.3) = 0.98928
0.98928 - 0.69146 = 0.29782
(c) exactly 30 times?
P(x = 30)
P(29.5 ≤ x ≤ 30.5)
Z =[ (29.5 - 30) / 5] ≤ x ≤ [ (30.5 - 30) / 5]
Z = - 0.5/5 ≤ x ≤ 0.5 /5
Z = - 0.1 ≤ x ≤ 0.1
Using z probability calculator :
P(z ≤ - 0.1) = 0.46017
P(z ≤ 0.1) = 0.53983
0.53983 - 0.46017 = 0.07966
Using the normal approximation to the binomial, it is found that there is a:
a) 0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.
b) 0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.
c) 0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.
In 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.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
When 2 dice are rolled, there are 36 possible outcomes, of which 6 of them[(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)] result in a sum of 7, thus the parameter p is [tex]p = \frac{1}{6}[/tex].The pair of dice are rolled 180 times, thus [tex]n = 180[/tex].The mean and standard deviation are given by:
[tex]\mu = np = 180\frac{1}{6} = 30[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{180\frac{1}{6}\frac{5}{6}} = 5[/tex]
Item a:
Using continuity correction, this probability is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the p-value of Z when X = 24.5. Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.5 - 30}{5}[/tex]
[tex]Z = -1.1[/tex]
[tex]Z = -1.1[/tex] has a p-value of 0.1357.
1 - 0.1357 = 0.8643.
0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.
Item b:
Using continuity correction, this probability is [tex]P(33 - 0.5 \leq X \leq 41 + 0.5) = P(32.5 \leq X \leq 41.5)[/tex], which is the p-value of Z when X = 41.5 subtracted by the p-value of Z when X = 32.5. Hence:
X = 41.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41.5 - 30}{5}[/tex]
[tex]Z = 2.3[/tex]
[tex]Z = 2.3[/tex] has a p-value of 0.9893.
X = 32.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{32.5 - 30}{5}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
0.9893 - 0.6915 = 0.2978.
0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.
Item c:
Using continuity correction, this probability is [tex]P(30 - 0.5 \leq X \leq 30 + 0.5) = P(29.5 \leq X \leq 30.5)[/tex], which is the p-value of Z when X = 30.5 subtracted by the p-value of Z when X = 29.5. Hence:
X = 30.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 30}{5}[/tex]
[tex]Z = 0.1[/tex]
[tex]Z = 0.1[/tex] has a p-value of 0.5398.
X = 29.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.5 - 30}{5}[/tex]
[tex]Z = -0.1[/tex]
[tex]Z = -0.1[/tex] has a p-value of 0.4602.
0.5398 - 0.4602 = 0.0796.
0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.
A similar problem is given at https://brainly.com/question/19054425
Andy runs 43.68 meters in 6.825 seconds. If Andy runs at a constant speed, how far does he run in one second?
Answer:
7 meters
Step-by-step explanation:
Which statement could the expression 13 + x represent? Andrea has 13 eggs and bought 13 more. Victoria has 13 flowers. This is greater than the number of flowers Elisa has. Prakhar is 13 years older than his youngest sister. Kai is 13 blocks from home. Jack is a greater distance away.
Kai is 13 blocks from home. Jack is a greater distance away.
In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.
Hope this helps!!! Have an amazing day!!!! :)
Prakhar is 13 years older than his youngest sister. :) <3
A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards
9514 1404 393
Answer:
101 feet
Step-by-step explanation:
Multiply the number of boards by the length of the boards, and add the products.
2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101
The total length of the boards is 101 feet.
Type the correct answer in each box. Use numerals.
Solve the given system of equations.
2y = -x + 9
3x - 6y = - 15
The solution to the system is ( __ , __ )
What kind of line can be drawn through the points (2, 3) and (-2, 3)?
Answer:
a zero line
Step-by-step explanation:
i dont have a diagram to show
Which of the following is not an example of using the distributive property to multiply 12 times 22?
O 12(20 + 2)
o 22(10 + 2)
O 10(2.22)
Answer:
The third one.
Step-by-step explanation:
Both A and B are correct and should give you the same answer when you apply the distributive property.
12 * 20 + 2 * 12 = 240 + 24 = 264
22(10) + 22*2 = 220 + 44 = 264
The third one just give anything near 264.
Find each absolute value | 2+3i |
2+3i
that's the answer.
Answer:
your answer is | 2+3i | its a trick question
Step-by-step explanation:
Please someone help me graph the table on to the graph and tell me if it is a linear and nonlinear and explain how it is a linear or a nonlinear
Answer:
linear
Step-by-step explanation:
m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.
equation of the function is y = - 4x + 14 ⇒ function is linear
(a) A yoga instructor collected student data. She found that students who had less sleep did not tend to burn more or fewer calories
during class. What can she conclude?
There is no correlation between amount of sleep and number of calories burned.
There is a correlation between amount of sleep and number of calories burned. There may or may not be causation. Further studies would
have to be done to determine this.
There is a correlation between amount of sleep and number of calories burned. There is probably also causation. This is because there is likely
an increase in the number of calories burned with an increase in the amount of sleep.
Answer:
The answer is ( A) -There is no correlation between amount of sleep and number of calories burned
Step-by-step explanation:
pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
9) Solve: a^2+ b^2= c^2 for b
Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
PLZ HELP!!! WILL GIVE U BRAINLIEST!!!
Answer:
Graph B is correct
(3,-1)
Step-by-step explanation:
Convert to slope-intercept form and find them on graph.
Answer:
Graph B and (3,-1)
Step-by-step explanation:
Step: Solve x−2y=5 for x:
x−2y=5
x−2y+2y=5+2y (Add 2y to both sides)
x=2y+5
Step: Substitute 2y+5 for x in 3x+15y=−6:
3x+15y=−6
3(2y+5)+15y=−6
21y+15=−6 (Simplify both sides of the equation)
21y+15+−15=−6+−15 (Add -15 to both sides)
21y=−21
(Divide both sides by 21)
y=−1
Step: Substitute−1for y in x=2y+5:
x=2y+5
x=(2)(−1)+5
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−1 or (3,-1)
Alex purchased 1 adult ticket and 2 student tickets for a total of $22. Jen purchased
1 adult ticket and 3 student tickets for a total of $28.
Let a = cost of adult ticket
Let s = cost of student ticket
Write the two equations which could be used to solve this problem using
elimination.
Answer:
C. a + 2s = $22
a + 3s = $28
Step-by-step explanation:
a = cost of adult ticket
s = cost of student ticket
✍️Cost of adult tickets purchased by Alex = 1 * a = a
Cost of 2 students tickets purchased by Alex = 2 * s = 2s
Total cost of total ticket purchased by Alex = $22
Therefore, equation for Alex would be:
✅a + 2s = $22
✍️Cost of adult tickets purchased by Jen = 1 * a = a
Cost of 3 students tickets purchased by Alex = 3 * s = 3s
Total cost of total ticket purchased by Alex = $28
Therefore, equation for Jen would be:
✅a + 3s = $28
✍️The answer would be option C:
a + 2s = $22
a + 3s = $28
Pls HELP I am trying to make a schedule today is Friday nov, 27th and you have four courses to get done befor January 15th which is in 49 days on the course science you have 55 assignments left on math you have 24 assignments left on English you have 54 left and on social studies you have 19 assignments left to do how many assignments on EACH course do you have to do every day befor January 15th?
Pls answer with how many on each course you should do every day for example: Science -- 2 every day math--5 every day.
Answer:
may God lay a helping hand
what is the difference between (4,4) and (1,-3)
Answer:
7/3
Step-by-step explanation:
If I solved it correctly, you use y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!
What is the domain of f(x)=5x-7
Answer:
(-infinity, infinity)
Step-by-step explanation:
You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).
Answer:
R (all real numbers)
R (all real numbers)
Step-by-step explanation:
2) Here are boxplots of the points scored during the first 10 games of the basketball season for both Ca and Alexandra. Summarize the similarities and differences in their performance so far.
Answer:
Following are the similarities and differences to this question:
Step-by-step explanation:
In the given question, both girls have such a mean performance of about 17 points per game throughout this issue, however, Sciurine is much more consistent. Your IQR becomes approximately 2 levels and Alexandra is greater than 10.