Answer:
0.09=9\100
Step-by-step explanation:
Find the slope of the line through each pair of points
(3, -20), (5, 8)
Answer:
Can you try turning the 5,8 into a ratio? thats all I can think of right now
Step-by-step explanation:
use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
[tex]f(x)=5x+2 \\g(x)=3-x[/tex]
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]
Now finding f(g(-1)) by putting x=-1
[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]
Now finding g(f(-1)) by putting x=-1
[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]
So, g(f(-1))=6
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
3.50x – 30 = 40 , solve this equation.
Answer:
x=20
Step-by-step explanation:
add the to both sides
3.5x=70
divide both sides by 3.5
x=20
xoxo, your highness...Part B
Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?
Slope of linen is
Answer:
Step-by-step explanation:
the slope of line n is also -3 as it is parallel to m
The answer is A
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
==========================================================
Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
Which expression is equivalent to 3V64a^6b^7c^9?
Answer:
24a³b³c⁴[tex]\sqrt{bc}[/tex]Step-by-step explanation:
Given
3[tex]\sqrt{64a^6b^7c^9}[/tex]Equivalent expression is
3[tex]\sqrt{64a^6b^7c^9}[/tex] =3[tex]\sqrt{8^2(a^3)^2b(b^3)^2c(c^4)^2}[/tex] =3*8a³b³c⁴[tex]\sqrt{bc}[/tex]=24a³b³c⁴[tex]\sqrt{bc}[/tex]HELP QUICK!! I HAVE ADULTS YELLING AT ME BC I DON'T UNDERSTAND
Answer:
[tex] 1\frac{1}{6} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{2}{3}*1\frac{3}{4} [/tex]
Required:
Evaluate
SOLUTION:
To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.
Thus:
[tex] \frac{2}{3}*\frac{7}{4} [/tex]
Multiply the numerators together, and multiply the denominators together
[tex] = \frac{2 \times 7}{3 \times 4} [/tex]
[tex] = \frac{14}{12} [/tex]
Simply the fraction by dividing the numerator and denominator by 2
[tex] = \frac{7}{6} [/tex]
[tex] = 1\frac{1}{6} [/tex]
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
To learn more about the rate click here :
https://brainly.com/question/12786410
#SPJ6
(2x - 5) (x^2 + x - 2) =
. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n_1 = n_2 = n = 250[/tex]
The sample mean for USA is [tex]\= x_1 = 391 \ minutes[/tex]
The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]
The sample standard deviation for USA is [tex]s_1 = 25 \ minutes[/tex]
The sample standard deviation for Mexico is [tex]s_2 = 49 \ minutes[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]
=> [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]
=> [tex]z = -10[/tex]
From the z table the area under the normal curve to the left corresponding to -10 is
[tex]p-value = P(Z < -10 ) = 0.00[/tex]
Generally from the value obtained we see that
The p-value is < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
Given :
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].
The hypothesis are as follows:
Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]
Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]
Now, the mathematical representation of test statistics is:
[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]
[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]
z = -10
According to the z-table:
p - value = p (Z < -10) = 0
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.
This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
For more information, refer to the link given below:
https://brainly.com/question/23044118
this is probley easy...
Adult giraffes eat about 75 pounds of food in a day. On average, an area can provide 450 pounds of food per day for giraffes.
Based on this information only, what is the carrying capacity for adult giraffes in this area?
o6
o75
o375
o450
Answer:
6
Step-by-step explanation:
divide 450 and 75
Answer:
6
Step-by-step explanation:
The other person is correct I did the test
The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?
Answer:
There are 48 male employees.
Step-by-step explanation:
144 divided by 3 = 48
48 x 1 = 48
Therefore there are 48 male employees.
Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)
Answer:
This is not a function
Step-by-step explanation:
Hope this helps
PLEASE HELP STATTTT
73 people need to ride the elevator to the top of a skyscraper. The elevator can hold 5 people at a time. How many people will be in the elevator on the last trip to the top?
Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M
Answer: 1 625.5cm or 16.255m
Step-by-step explanation:
convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.
convert the cm measurements back to m measurements (i only assume because you said . m at the end)
The total amount of fabric she cut is 17.255 m .
The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.
In order to add the different lengths, the lengths have to be in meters.
100cm - 1 meter
475cm = 475 / 100 = 4.75m
245cm = 245 / 100 = 2.45m
Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m
To learn more about addition, please check: https://brainly.com/question/349488
5TH GRADE LEVEL QUESTION: LOOK AT PHTO AND ANSWER HANDING OUT BRAINLIEST.
Answer:
The volume of Jill's rectangular prism is 40 cm^3
Step-by-step explanation:
w*l*h=area
2*2*10
4*10
40 cm^3
Hope this helps!!
If my recipe calls for 3/4 cups of water per 1 egg how many eggs do I need if I use 6 cups of water?
Answer:
6
Step-by-step explanation:
PLEASE I NEED HELP NOW ANSWER ALL 4 QUESTIONS FOR 20 POINTS!!!
Answer:
Steak:$38
Chicken:$24.75
Fish:$16.31
Total:$79.06
Step-by-step explanation:
8 x 3 1/2 = 8 x 7/2 = 56/2 = 28
4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75
2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)
38 + 24.75 + 16.31 = 79.06
A virus takes 13 days to double its original population (A = 2A0). How long will it take to triple its population? Round to
the nearest tenth.
Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
Reflect triangle ABC over the x-axis. Then translate the new triangle 5
units to the left. What are the coordinates of the vertices of the final image?
Answer:
The coordinates of the vertices of the final image will be:
A''(-6, 8), B''(-7, -2), and C''(0, -2)
Hence, option (B) is true.
Step-by-step explanation:
Given the triangle with the vertices
A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.Thus,
The rule of reflection across the x-axis:
(x, y) → (x, -y)
so
A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)
B(-2, 2) → B'(-2, -2) = B'(-2, -2)
C(5, 2) → C'(5, -2) = C'(5, -2)
Then, translate the new triangle 5 units to the left
Rule of translating 5 units to the left
(x, y) → (x-5, y)
so
A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)
B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)
C'(5, -2) → C''(5-5, -2) = C''(0, -2)
Therefore, the coordinates of the vertices of the final image will be:
A''(-6, 8), B''(-7, -2), and C''(0, -2)
Hence, option (B) is true.
Answer: b
Step-by-step explanation:
Tina is taking picture of her friends. if she sets a tripod level on the ground, will the bottom of each of the legs of tripod be coplanar
Answer:
Yes
Step-by-step explanation:
I need help with math homework
Answer:
A. (1, 2) and (4, 3)
B. Slope (m) = ⅓
C. y - 2 = ⅓(x - 1)
D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Step-by-step explanation:
A. Two points on the line from the graph are: (1, 2) and (4, 3)
B. The slope can be calculated using two points, (1, 2) and (4, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]
Slope (m) = ⅓
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).
Thus:
y - 2 = ⅓(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 2 = ⅓(x - 1)
3(y - 2) = x - 1
3y - 6 = x - 1
3y = x - 1 + 6
3y = x + 5
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. Convert the equation in (D) to standard form:
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Evaluate 2(5 + x2) + y if x = 3 and y = 2
Answer:
26
Step-by-step explanation:
find the slope of the line please help!
It takes Ernie 45 hours to paint the house alone. Silene can do it in 36 hours alone. How long
would it take them to paint the house together?
What is the measure of angle 7?
What is the first step to solving the division problem below?
Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.
Answer:
divide 15 into 82 to get 5 is the first step
Step-by-step explanation:
Answer:
The answer is A, ¨Divide 15 into 82 to get 5.¨
Step-by-step explanation:
Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye
2x -3 = -7 please help
Answer:
2x - 3 = -7 (add 3 to both sides)
2x = -4 (divide each side by 2 to get x alone)
x = -2