Answer:
600
Step-by-step explanation:
Volume big cuboid=100×60×40=240000cm³
Volume small cuboid=5×8×10=400
Number of small cuboids that can fit= 240000/400=600
Which function does the graph represent?
Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3
Answer:
The function which represents the graph is:
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Hence, option B is correct.
The graph is also attached.
Step-by-step explanation:
From the graph, it is clear that:
The vertex = (2, 3)
The y-intercept = (0, -1)
Let us check the equation
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Determining the y-intercept:
The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in teh equation
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]
[tex]y=-2^2+3[/tex]
[tex]y=-4+3[/tex]
[tex]y=-1[/tex]
Thus,
The point representing the y-intercept is: (0, -1)
Determining the vertex:
The vertex of an up-down facing parabola of the form ax² + bx + c is:
[tex]x_v=-\frac{b}{2a}[/tex]
As the equation is
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:
[tex]y=-x^2+4x-1[/tex]
The Parabola params are:
[tex]a=-1,\:b=4,\:c=-1[/tex]
Thus,
[tex]x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]
[tex]x_v=2[/tex]
Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]
[tex]y_v=-x^2+4x-1[/tex]
[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]
[tex]y_v=-4+8-1[/tex]
[tex]y_v=3[/tex]
Therefore, the vertex of the equation is: (2, 3)
Hence, the function which represents the graph is:
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Hence, option B is correct.
The graph is also attached.
B. Perform the following operations on polynomials.
1. (2x + 3y) - (5x – 2y)
2. (9x²y + 5xy - 2) + (-12x²y – 3xy + 2)
3. (8x + 2y - 3z") + (42* - 5x + 3y)
4.(- 10x*yz? + 5xyz-2) -(10xyz + x - 10 xy)
5. (3x + y) - (2x + z)
pahelp po plss asap
展开时的公式:
+ + > +
- - > +
+ - > -
- + > -
WILL MARK BRAINLIEST 15 POINTS
What is the probability that you would land on red for the first spin and then land on purple for the second spin?
1/5
1/10
1/25
0
Answer:
Step-by-step explanation:
Z. 1/25 it’s just a guess theough
480/X - 8 - 480/x = 3
Answer:
i don't know its ans thank you
Answer:
x є ø
Step-by-step explanation:
480/X - 8 - 480/x = 3, x є ø
-8=3 (+480/x -480/x cancels because +smth -the same number)
CDEF is kite and m
A. 14
B. 56
C. 28
D. 62
Answer:
Step-by-step explanation:
56
Write the polynomial you created in factored form.
Answer:
Mr.poop was a very wise man he poop in the toilet and in the carpet he didn't know who he was but he was a very very wise man.
whats 2+2-1+17-9+29-9=
Hows your day
Answer:
31 is the answer of this question
Answer:
31 and my day was good how was yours?
Step-by-step explanation:
what is the simplest from of this expression? (-3x^2 + 4x) + (2x^2 - x -11)
A. -x^2 + 3x + 11
B. -x^2 + 5x - 11
C. -x^2 + 5x + 11
D. -x^2 + 3x - 11
Answer:
D
Step-by-step explanation:
What is the value of 1/2[-8+16-(-2 1/2)]
Answer:
21/4
Step-by-step explanation:
1/2[-8 +16 - ( -2 1/2)] = 1/2 ( - 8 + 16 + 2 1/2) = 1/2 ( 8 + 2 1/2) = 1/2 * [tex]10 \frac{1}{2}[/tex] = 1/2 * 21/2 = 21/4
You must substitute the (x, y) and check that the POI makes both equations ___.
TRUE because they both check out.
FALSE because they cannot work.
express each of the following percentages as a fraction.28% 158%
Answer:
28% = 7/25 and 158% = 79/50
Step-by-step explanation:
To convert a percent into a fraction, you have to put the value of the percent over 100.
For 28%: 28/100
28 and 100 are both divisible by 4, so the fraction reduces to 7/25.
For 158%: 158/100
158 and 100 are both divisible by 2, so the fraction reduces to 79/50. If you teacher doesn't want you do use improper fractions, then 79/50 can further be reduced and becomes [tex]1\frac{29}{50}[/tex].
Hope this helped!
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?
"whats the area of a circle with a circumference of 50.24 units"
pls help:)
Answer:
200.96 units^2
Step-by-step explanation:
50.24/Pi = 16 (diameter)
16/2=8 (radius)
area = Pi(r^2)
area = 3.14(8^2) = 200.96 units^2
(x - 1)(8x – 4) = 0
what is the factor
Answer:
the factor is x=1/2 or x=1
Step-by-step explanation:
hoped I helped:)
Explain the meaning of F(30) = 8,950 in this situation
Answer:
when you have something like f(x)=... that means
f means function
and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2
find the slope of the line parallel to this equation: y=2/5x-4
Answer:
slope = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex]
Parallel lines have equal slopes
Thus the slope of a parallel line is m = [tex]\frac{2}{5}[/tex]
Tell whether the ordered pair is a solution of the inequality.
(-1,2)
8x + y > -6
Yes
No
Answer:
yes
Step-by-step explanation:
what is the correct equation for a line with a slope of 5 and y-intercept of 2
The answer choices are the bottom ones
Answer:
b) x = 31
Step-by-step explanation:
It's an isosceles triangle, meaning the base angles are congruent as well.
Two systems of equations are shown. The first equation in system B is the original equation in system A. The second equation in system B is the sum of that equation and a multiple of the second equation in system A.
Answer:
[tex]x = 3.875[/tex]
[tex]y = 2.375[/tex]
Step-by-step explanation:
See comment for complete question.
Given
A.
[tex]x + 3y = 11 => x + 3y = 11[/tex]
[tex]5x - y = 17 => 15x - 3y = 51[/tex]
[tex]16x = 62[/tex]
B.
[tex]x + 3y = 11[/tex]
[tex]16x = 62[/tex]
Required
Determine the values of x and y
The first equation in B is:
[tex]x + 3y = 11[/tex]
In (a): 5x - y = 17 is multiplied by 3, then added to x + 3y = 11.
So, the second equation is:
[tex]5x - y = 17[/tex]
Solving (a) & (b):
[tex]x + 3y = 11[/tex] --- (1)
[tex]5x - y = 17[/tex] ---- (2)
Make x the subject in (1)
[tex]x + 3y = 11[/tex]
[tex]x = 11 - 3y[/tex]
Substitute [tex]11 - 3y[/tex] for x in [tex]5x - y = 17[/tex]
[tex]5(11 - 3y) - y = 17[/tex]
Open bracket
[tex]55 - 15y - y = 17[/tex]
[tex]55 - 16y = 17[/tex]
Collect Like Terms
[tex]- 16y = 17-55[/tex]
[tex]- 16y = -38[/tex]
Solve for y
[tex]y = \frac{-38}{-16}[/tex]
[tex]y = \frac{38}{16}[/tex]
[tex]y = 2.375[/tex]
Substitute 2.375 for y in [tex]x = 11 - 3y[/tex]
[tex]x = 11 - 3 * 2.375[/tex]
[tex]x = 11 - 7.125[/tex]
[tex]x = 3.875[/tex]
Answer:
(4,3)
Step-by-step explanation:
I took the test.
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches a width of 3 inches and a height of 3 1/2
Answer:
94.5
Step-by-step explanation:
3x3.5x9=94.5
Hope this helps :)
Also please mark as branliest
The clock shows the time that Ron left his home in the morning. He came home 7
hours and 35 minutes later. What time did Ron come home?
Answer: 14:35 hrs
Step-by-step explanation:
Missing time that Ron left was 07:00 hrs
Ron left the house at 07:00 hrs. If he arrived back to the house 7 hours and 35 minutes later, you can find out what time he arrived by simply adding the time he left to the time he stayed outside:
= 7 + 7hrs 35 minutes
= 14 hrs 35 minutes
= 14:35 hrs
Question 8 of 10
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,2)
slope = -3/7
Answer:
y = (-3/7)x + 2
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
all you need to do is plug the values into the equation! :)
since your slope is (-3/7), plug that in for m.
y = mx + b ⇒ y = (-3/7)x + b
and since your y-intercept is 2, plug that in for b.
y = (-3/7)x + b ⇒ y = (-3/7)x + 2
therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.
don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.
i hope this helps! have a lovely day <3
I’m stuck with this question plz help
Answer:
40 in i think if i am wrong sorry
Step-by-step explanation:
5in + 5in = 10 10 * 4 = 40
246.49
All you have to do to find the Circumference is use this formula
pi (3.14) R (radius) squared.
-Ɽ3₮Ɽ0 Ⱬ3Ɽ0
A jacket usually sells for $66.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?
Answer:
44.22
Step-by-step explanation:
100%-> 66
60%->39.60=
7%->4.62
4.62+39.60=44.22
A boat starts in Wilmington and sails 5 miles due east and then 3 miles due south. What is the approximate shortest distance back to Wilmington?
Answer:
I would say approximately 5.8 miles
Step-by-step explanation:
(This answer may be wrong)
A student answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)
Answer:
88 total questions
Step-by-step explanation:
Answer:
88 problems
Step-by-step explanation:
86/0.98 = 87.76 ≈ 88
Olivia is making scarves. Each scarf will have 3 rectangles, and of the rectangles will be purple. How many purple rectangles does she need for 3 scarves?
Answer:
She needs 3 purple rectangles.
Step-by-step explanation:
If Olivia is making 3 scarves and each scarf will be a combination of 3 rectangles, out of the three rectangles, there will be purple meaning a scarf will have at least a purple rectangle.
If a scarf has a purple rectangle then 3 scarves will have;
1 x 3 = 3
3 rectangles.
does someone know tha answer??
Answer:
either 5 or 6 months
Step-by-step explanation:
Tom M Jerry
500 1 125
475 2 175
450 3 225
425 4 275
400 5 325
375 6 375
A 2-column table with 5 rows. Column 1 is labeled Number of friends helping with entries 0, 1, 2, 3, 4. Column 2 is labeled Hours to build tree house with entries 20, 20 minus 20 (0.10) = 18.0, 18 minus 18 (0.10) = 16.2, 16.2 minus 16.2 (0.10) = 14.6, question mark.
Peter figures he can build the entire tree house by himself in 20 hours. He figures that each additional friend who helps him would improve the time by 10%. He created a table using the algebraic expression n – n(0.10), where n is the previous number of hours.
To the nearest tenth of an hour, how long will it take to build the tree house if 4 friends are helping?
Answer:
x y x
Step-by-step explanation:
Answer: 13.1
Step-by-step explanation:
hope this helps