Answer:
One serving of orange juice has 30 mg more vitamin C per serving than one serving of cranberry juice
Step-by-step explanation:
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
Given:
The expression is
[tex]3x^4-81x[/tex]
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
[tex]3x^4-81x[/tex]
Taking out the common factors, we get
[tex]=3x(x^3-27)[/tex]
It can be written as
[tex]=3x(x^3-3^3)[/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex] [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex]
[tex]=3x(x-3)(x^2+3x+9)[/tex]
Therefore, the correct option is B.
Answer:
It's B
Step-by-step explanation:
The inequality that will determine the number of items that need to be sold to make a profit is . The solution to the inequality is . The company must sell at least items to make a profit.
Answer:
1: A (7.5x – 100 > 79.86 + 5.8x)
2: D (x > 105.8)
3: D (106)
Step-by-step explanation:
EDG 2021
Answer:
The inequality that will determine the number of items that need to be sold to make a profit is
✔ 7.5x – 100 > 79.86 + 5.8x
The solution to the inequality is
✔ x > 105.8
The company must sell at least
✔ 106
items to make a profit.
Have a bless day. :D
14.The volume of a cube whose edge is 3x is _______.
FASTT!!!
Answer:
[tex]27x^3[/tex]
Step-by-step explanation:
How many vehicles were driven at least 200 thousand kilometers
vehicles
Answer:
5
........................
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!
help asap
could someone please explain how to solve/answer this?
much appreciated
Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
x = 5
x + y = 12
help please
Answer:
y = 7
Step-by-step explanation:
(5) + y = 12
12 - 5 = 7
Write the center and radius for the following circles
Given:
The equations of circle are
4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
5. [tex](x-1)^2+(y+2)^2=28[/tex]
6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
To find:
The center and radius for the given circles.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.
4.
The equation of the circle is
[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
The standard form of this circle is
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]
Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].
5.
The equation of the circle is
[tex](x-1)^2+(y+2)^2=28[/tex]
The standard form of this circle is
[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]
[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]
Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].
6.
The equation of the circle is
[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
The standard form of this circle is
[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]
[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]
Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].
A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?
Answer:
1600 cubic feet
Step-by-step explanation:
8 x 2 1/2 = 8 x 2.5 = 20
20 divided by 1/2 = 10
8 x 10 x 20 = 1600
Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.
Answer: Weight of the remaining block of wood =400g
Step-by-step explanation:
Total Weight of five(5) blocks = 3kg = 3000g
Weight of 4 out of the 5 blocks = 650x 4= 2600g
Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks
= 3000g-2600g
=400g
If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm
Given:
In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.
To find:
The possible value of side z.
Solution:
In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.
Case I: Let x be the largest side, then
[tex]y+z>x[/tex]
[tex]4+z>15[/tex]
[tex]z>15-4[/tex]
[tex]z>11[/tex] ...(i)
It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.
Case II: Let z be the largest side, then
[tex]x+y>z[/tex]
[tex]15+4>z[/tex]
[tex]19>z[/tex] ...(ii)
From (i) and (ii), we get
[tex]11<z<19[/tex]
It means the value of z lies between 11 and 19.
From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.
Therefore, the correct option is C.
A number Q has a remainder of 3 when divided by 5 and also has a remainder of 4 when divided by 8. What is the smallest value Q can have?
The data represents the height, in feet, of various buildings. Find the Interquartile Range.
60, 58, 54, 56, 63, 65, 62, 59, 56, 58
Plsss helpppppp :(
This is a testt!
Answer: 6
Step-by-step explanation:
What’s the missing side length?
Answer:
14 cm
Step-by-step explanation:
this is because of the far left side of the shape being 6cm and as well as with the 8 cm from one side of the shape being another component to the origin of the side length, this would give us the equation 6 + 8 with out sum coming out to 14 cm being identified as the right unknown length.
Pls help I need this answer asap I got 10 min left :(
Answer:
Step-by-step explanation:
A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])
y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!
A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of fabric does the costume designer need to make all the costumes?
Answer:
2676 yards
Step-by-step explanation:
12*223 is 2676
if each costume requires 223 yards then all you do is multiply the numbers
Please help I don’t get it
Answer:
4.718592
Step-by-step explanation:
To get to -14.4 from 18 you multiply 18 x 0.8
Repeat that until you get to the 7th term
18 (1st)
18 x 0.8 = -14.4 (2nd)
-14.4 x 0.8 = 11.52 (3rd)
11.52 x 0.8 = 9.216 (4th)
9.216 x 0.8 = 7.3728 (5th)
7.3728 x 0.8 = 5.89824 (6th)
5.89824 x 0.8 = 4.718592 (7th)
if bob had 5 apples and gave Samatha 2 apples how much does he have
Answer:
3
Step-by-step explanation:
5-2=3
Answer:
According to my calculations...3
Step-by-step explanation:
evaluate the expression
I 13 I + I -2 I
Answer:
15
Step-by-step explanation:
Apply absolute rule: | a | = a, a ≥ 0
| 13 | = 13
= 13 + | -2 |
| -2 | = 2
= 13 + 2
= 15
The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?
Answer:
I thing Kaleigh read 1.5 more than Austin
Step-by-step explanation:
why does a thick glass bottle crack when boiling water is suddenly poured inside it
Answer:
The glass expands
Step-by-step explanation:
Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks
Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work
Answer: jimmy needs a new job
Step-by-step explanation:
Plz help I need it I don’t understand how to do these problems!
Which of the lines below is perpendicular to y= -2/5
A.y=-5/2x-9
B.y=-2/5x+8
C.y=5/2x+1
D.y=2/5x-3
An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?
Answer:
[tex]23^{o}[/tex] and [tex]23^{o}[/tex]
Step-by-step explanation:
An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures 134°, then;
x + x + 134° = [tex]180^{o}[/tex]
2x + 134° = [tex]180^{o}[/tex]
2x = [tex]180^{o}[/tex] - 134°
= 46
x = [tex]\frac{46}{2}[/tex]
= [tex]23^{o}[/tex]
x = [tex]23^{o}[/tex]
The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].
If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE
Answer:
this hurts my brain x_x my non-existent brain....
Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?
Answer:
.
Step-by-step explanation:
Item 6
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is?
50×100÷110=45.454545r6