Answer:
Solution given:
x³-3x²+x
taking common
x(x²-3x+1)
is a required answer.
PLZ HELP PLZ PLZ this is my last final plz
A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58
Answer:
b
Step-by-step explanation:
A lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid. The
assistant has solutions of 1.5% and 4% in supply at the lab. Using the variables x and
y to represent the number of milliliters of the 1.5% solution and the number of
milliliters of the 4% solution respectively, determine a system of equation that
describes the situation.
Enter the equations below separated by a comma.
How many milliliters of the 1.5% solution should be used?
How many milliliters of the 4% solution should be used?
Answer:
240 ml of 1.5% solution and 360 ml of 4% solution should be used.
Step-by-step explanation:
Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:
50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75
40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3
600 x 0.4 = 240
Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.
In a certain city, the average 20- to 29-year old man is 69.6 inches tall, with a standard deviation of 3.1 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?
Answer:
the 20-29 year old man are relatively taller.
Step-by-step explanation:
for the old man we have next z- score=75-69.6/3.1=1.74
for the old women we have next z-score=70-64.1/3.9=1.51
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
HELLO CAN SOMEONE HELP ME WITH THIS! MATH IM FAILING NO FAKE ANSWERS PLZ!
Answer:
45 square ft^2
Step-by-step explanation: The formula of the area of the trapezoid is A=(a+b)/2 x h. A represents the top while b represents the bottom. 15+3=18 and 18/2=9. If multiply the result by 5, you get 45 as the answer.
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation:
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12
The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
What is the value of the geometric series?
3,069
1,533
1,023
Answer:
A.
Step-by-step explanation:
25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the ratio of the prism's new volume to its original volume.
A.8:1
B.2:1
C.4:1
D.16:1
Answer:4:1
Step-by-step explanation:
Pls help me pls pls I beg you
Answer:
3/32 in³
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the length, width, and height.
[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]
Therefore, the volume is 3/32 in³.
A pistol is accidentally discharged vertically upward from a height of 3 feet above the ground. If the bullet has an initial velocity of 200 feet per second the path of the bullet is modeled by the equation h=-16t 2 +200t+3, what maximum height will it reach before it starts to fall back down to the ground?
Answer:
hmax = 628 ft
Step-by-step explanation:
The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is
h(t) = -16t^2 + 200t + 3
Taking the derivative of h(t) is
h'(t) = -32t + 200
Solving for t when h'(t) = 0, we get
t = 200/32 = 6.25 s
and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get
h = -16(6.25 s)^2 + 200(6.25 s) + 3
= 628 ft
what is the answer to this?
Answer:
This is the answer:
330550=
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
some1 hurry need help
Answer:
C) 11
Step-by-step explanation:
The common multiples less than 70 of 6 and 8 are: 24 and 48.
If there are 24 blue and green (12 each), there would be 46 yellow and red. Half of 46 is 23, which isn’t an answer choice.
If there are 48 blue and green (24 of each), there would be 22 yellow and red. Half of 22 is 11.
What is 713,753 rounded to the nearest hundred thousand?
Answer:
700,000
Step-by-step explanation:
Answer:
700,000
Step-by-step explanation:
It's closer to 700,000 than 800,000. Hope this helps! Have a nice day :)
What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
Help Emergency!
Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?
Answer:
4,350
Step-by-step explanation:
I'm taking the diagnostic
I need help I'm confused again need help asap
Answer:
1/8th chance of spinning yellow
or as a decimal 0.125
Step-by-step explanation:
Hope this helps
PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm
Answer:
135cm^3
Step-by-step explanation:
HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)
Answer:
20 square meters
Step-by-step explanation:
area = length x width
area of grass = 4 x 4 = 16
area of grass and cement = 6 x 6 = 36
Now you subtract to find the area of the cement.
36 - 16 = 20
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answer:
There is a 10 percent increase
What is the median of the data?
3
8
5
5.5
Answer:
Median= middle number
(Example) 1, 4 ,6, 7 ,12
6 Would be the median here
so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,
5 Is the middle number and the median
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8
Hope this helped! Please leave any questions or concerns in the comments byeee <3
10. A company is considering building a manufacturing plant. They determined the weekly
production coast at site A to be A(x) = 3x2 while the production cost at site be is B(x) =
8x + 3, where x represents the number of products, in hundreds, and A(x) and B(x) are
the production costs in hundreds of dollars.
Answer:
3
Step-by-step explanation:
i don't know i had to answer this and i put 300 but apparently its 3..?
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
PLEASE ANSWER CORRECTLY WILL GIVE BRAINLIEST
Answer:
r = [tex]\sqrt{x} A/4\pi[/tex] , or the third option :)
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Adila sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.
How many T-shirts must Adila sell to earn $80 in a 6-h shift?
Answer:
64 Shirts
Step-by-step explanation:
For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32
Given f(x) =
2 cos(7x), for x < -1
2
for x > -1
COS (1x)
What is lim f(x)?
X - - 1
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]
And we want to find:
[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]
So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:
[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]
Since we are approaching from the left, we will use the first equation:
[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]
By direct substitution:
[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]
Right-Hand Limit:
[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]
Since we are approaching from the right, we will use the second equation:
[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]
Direct substitution:
[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]
So, we can see that:
[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]
Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:
[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]
Our answer is A.
Answer:
AAAAAAAAAAAAAAAAA
Step-by-step explanation: EDGE 2022
Find the distance between points F and H.