Answer:
0.7 lap per minute
Step-by-step explanation:
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!
Answer:
no u right its b
Step-by-step explanation:
Find the length of the missing side. The triangle is not drawn to scale.
Answer:
c = 10
Step-by-step explanation:
To find the hypotenuse of the triangle you would do the value of leg^2 + leg^2 to find the hypotenuse. Or you can look at it like a^2 + b^2 = c^2. But in order to get the value you would have to find the scare root of c^2.
----------------------
In this case though we are doing 6^2 + 8^2 which equals 100. After calculating that we know c^2 power equals 100. So know you have to find the actual value of c by itself to get your hypotenuse. So we would find the square root of 100 which is 10. Hope this helps!!
---------------------
Important words
Hypotenuse - In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Cathetus (legs of triangle) - Either of the sides that are adjacent to the right angle.
Find the unit rate. Round to the nearest hundredth, if necessary.
$340 for 18 ft2
Answer:
18.89
Step-by-step explanation:
340/18=18.8888
18.888 to the nearest hundredth is 18.89
Find m
L and P is 85
P, M, and N is 23
Answer:
108 degrees for angle LMN
We know that there are only two angles total. We are looking for angle LMN which includes both angle LMP and angle PMN. To do this, we simply add the values of both. So, 85+23= 108 degrees
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
The difference in y-values between the coordinates of two points on a line is called the
The difference in y-values between the coordinates of two points on a line is called the Rise.
The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.
The difference in the x-values of two points on a line is called the run.
Slope of line is given by,
[tex]m=\dfrac{rise}{run}[/tex]
Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.
For more details follow the link:
https://brainly.com/question/3605446
Pleeeeeeeeeeeeeeeeaaaaaaaaaaaaaasssssssssssssseeeeeeee help ASAP and giving 33 points the ma is the -2 and the 5 and t is -4 and h is -8
Answer:
-320
Step-by-step explanation:
-2×5 (-4×-8)
-10(32)
-10×32
-320
Can Y’all Please Help Me ❗️
Answer:
T
t
f
t
Step-by-step explanation:
Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation:
PLEASE HELP ITS ALREADY LATE
I neees help please
emilio used addition of two rational numbers to solve a problem.Jim used subtraction to solve the same problem. Is it possible that they both solved the problem correctly? Use a specific example to explain
Answer:
yes it is possible.
for example: +7-7=0
Step-by-step explanation:
A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
Required:
a. What is the meaning of the derivative fâ'(x)? What are its units?
b. In practical terms, what does it mean to say that fâ'(2,000) = 10?
c. Which do you think is greater, fâ'(200) or fâ'(600)? What about fâ'(4,000)?
Correct is;
A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
(a) What is the meaning of the derivative f '(x)?
What are its units?
(b) In practical terms, what does it mean to say that f '(2000) = 10?
(c) Which do you think is greater,
f '(200) or f '(600)? What about f '(4000)?
Answer:
A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.
It's unit is $/yard
B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.
C) f' (200) > f'(600)
f'(4000) > f'(600)
Step-by-step explanation:
A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.
In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.
It's unit is $/yard
B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.
C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.
As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.
Thus;
f'(4000) > f'(600)
Clancy has 4 2/3 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup.
Write a multiplication equation to determine the number of people, p, who can be invited to the party.
Answer:
4 2/3 divided by 3/4 = p
Step-by-step explanation:
whatever the answer to the equation is the amount of people able to be invited
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].
The number of people that can be invited to the party is 6 people.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 6 = 7 is an equation.
We have,
Amount of cups of yogurt Clancy have = [tex]4\frac{2}{3}[/tex]
Amount of cups of yogurt each person received = 3/4 of a cup
The number of people p that can be invited to the party:
3/4 p = [tex]4\frac{2}{3}[/tex]
3/4 p = 14/3
p = 14/3 x 4/3
p = 56/9
p = 6.22
p = 6
Thus,
The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].
The number of people that can be invited to the party is 6 people.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Amy makes $84 for 12 hours of babysitting her first week on the job. The second week she babysits for 14
hours and earns $98. The third week she babysits for 20 hours and earns $140. She makes a regular
amount of pay per hour. Which equation below could be used to calculate her total earnings each week,
E, based on the number of hours she babysits, n?
Answer: she won: 322
Step-by-step explanation:
first add all the amounts of money she got for babysitting some devils, and there your equation is DONE
13.25 x 64 please awnser it's for a test and I have no idea what it is.
Answer :
13.25 x 64
=848
Answer:
453x ^64 /4
Step-by-step explanation:
Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?
Answer:
125dollars
Step-by-step explanation:
follow me say a thanks mark me branliest
The price of stock A at 9 a.m. was $15.75. Since then, the price has been increase at rate of $.05 per hour. At noon , the price of stock B was $16.53. It begin to decrease at the rate of $.13 per hour. If the stock continue to increase and decrease at the same rate, in how many hours will the price of the stocks be the same?
Answer:
Step-by-step explanation:
15.75 plus .05x = 16.53-.13x
.78=.18x
4.3 hours is your answer
The line below has slope 4 and y-intercep
3. Write the equation of the line in slope
intercept form
5
Answer:
y=4x+3
y=-2x+3
Step-by-step explanation:
You need to make at least 360 wraps for a party. You can make 9 wraps per minute.
How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Answer:
40 minutes
Step-by-step explanation:
What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!
It will take 40 minutes for me to make the 360 wraps that I need.
9x ≥ 360 ⇒ x ≥ 40
Step-by-step explanation:
I have to make at least 360 wraps for a party.
I can make 9 wraps per minute.
So, it will take minutes for me to make the 360 wraps that I need.
If I work for x minutes to make wraps, then I will be able to make 9x wraps.
So, the inequality that models the given condition is
9x ≥ 360
⇒ x ≥ 40 {Dividing both sides by 9}
Therefore, I need to work at least 40 minutes to reach my goal. (Answer)
Moses is solving the problem below.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
Answer:
2.21184 or 2.212
Step-by-step explanation:
step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false
Answer:
Step 3
Step-by-step explanation:
I took a quiz and got it right
Help me answer the math
Answer: 1. 2
2. 5
3. 2
4. 2
5. 2
Step-by-step explanation:
A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?
Given:
Mrs. Applegate owns [tex]\dfrac{3}{19}[/tex] of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns [tex]=\dfrac{3}{19}[/tex] of the business.
[tex]x+3x+\dfrac{3}{19}=1[/tex]
[tex]4x=1-\dfrac{3}{19}[/tex]
[tex]4x=\dfrac{19-3}{19}[/tex]
[tex]4x=\dfrac{16}{19}[/tex]
Divide both sides by 4.
[tex]x=\dfrac{16}{4\times 19}[/tex]
[tex]x=\dfrac{4}{19}[/tex]
Now,
Mrs. Brown owns [tex]=3\times x[/tex]
[tex]=3\times \dfrac{4}{19}[/tex]
[tex]=\dfrac{12}{19}[/tex]
Therefore, Mrs. Brown owns [tex]\dfrac{12}{19}[/tex] of the business.
Solve for: 22≥4m-2 or 5-3m≤-13
Answer:
22≥4m-2=6
5-3m<-13=6
Step-by-step explanation:
The inequalities 22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
22 ≥ 4m - 2.
4m ≤ 22 + 2.
4m ≤ 24.
m ≤ 24/4.
m ≤ 6.
5 - 3m ≤ - 13.
- 3m ≤ - 13 - 5.
- 3m ≤ - 18.
3m ≥ 18.
m ≥ 18/3.
m ≥ 6.
So, m ≤ 6 or m ≥ 6.
learn more about inequalities here :
https://brainly.com/question/30228778
#SPJ2
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
If X = 6 Which number line shows the value of X? Good answer gets brainliest
Answer:
B
Step-by-step explanation:
The absolute value of a number means its distance from zero.
Therefore:
I-6I=6
Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.
How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.
Answer:
There are 48 cups in 3 gallons!
Hope this helped! :)
pog help pog pog pog pog pog pog pog pog pog
Answer:
POG
Step-by-step explanation:
poggers + poggers = POGCHAMP
Answer:
only the green and pink line repent a proportional relationship
Please help and leave a small explanation!
PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU
Answer:
area=47cm²
Step-by-step explanation:
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88