Answer:
B.5: 5^2(-3)(+7)
Step-by-step explanation:
1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).
2. ^2 is also a factor, so now its 5^2(^2+4-21)
3. Factor by Grouping 5^2(^2−3+7−21)
4. Factor by Grouping 5^2((−3)+7(−3))
5. Factor by Grouping 5^2(−3)(+7)
Thats your final answer.
what must be subtracted from 61 to get 5
Answer: 56
Step-by-step explanation:
Let x be the number that is supposed to be subtracted from 61.
Given
61 - x = 5
Add both sides by x
61 - x + x = 5 + x
61 = 5 + x
Subtract 5 on both sides
61 - 5 = 5 + x - 5
x = 56
Hope this helps!! :)
Please let me know if you have any questions
2+9 +11+98+99999999999999999
Answer:
1.000000000000012e+16
Step-by-step explanation:
uh
Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
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DONE
Clear all
ĐOO
?
Answer:
y = 2x -4
Step-by-step explanation:
2y = 4x - 8
Divide each side by 2
2y/2 = 4x/2 - 8/2
y = 2x -4
The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the nearest whole number.
Given:
Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(i)
Surface area of a sphere:
[tex]A=4\pi r^2[/tex] ...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.
[tex]V=\dfrac{28}{3}\times A[/tex]
[tex]\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2[/tex]
Multiply both sides by 3.
[tex]4\pi r^3=112\pi r^2[/tex]
[tex]\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}[/tex]
[tex]r=28[/tex]
Using (i), the volume of the sphere is:
[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3[/tex]
[tex]V\approx 91989[/tex]
Using (ii), the surface area of the sphere is:
[tex]A=4\times \dfrac{22}{7}\times (28)^2[/tex]
[tex]A=9856[/tex]
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
Answer:
Step by step explanation:
Answer:
Step-by-step explanation:
a) [tex]t_{n}[/tex] = 2n - 3
[tex]t_{1}=2*1-3 = 2-3=-1\\\\t_{2}=2*2-3=4-3=1\\\\t_{3}=2*3-3=6-3=3\\\\t_{4}=2*4-3=8-3=5\\\\S_{4}=t_{1}+t_{2}+t_{3}+t_{4}\\\\= -1 + 1 + 3 + 5 \\\\= 8[/tex]
d)
[tex]t_{n}=\frac{2n-1}{2n+1}\\\\\\t_{1}=\frac{2-1}{2+1}=\frac{1}{3}\\\\t_{2}=\frac{4-1}{4+1}=\frac{3}{5}\\\\t_{3}=\frac{6-1}{6+1}=\frac{5}{7}\\\\t_{4}=\frac{8-1}{8+1}=\frac{7}{9}\\\\[/tex]
[tex]S_{n}=\frac{n}{2}(a+l)\\\\S_{4}=\frac{4}{2}(\frac{1}{3}+\frac{7}{9})\\\\=2*(\frac{1*3}{3*3}+\frac{7}{9})\\\\=2*(\frac{3}{9}+\frac{7}{9})\\\\=2*\frac{10}{9}\\\\=\frac{20}{9}[/tex]
A 20kg patient requires a 500 mg dose of a particular drug solution contains 100 mg/tsp. How many milliliters of the solution should be given to the patient to deliver the required dose?
Answer:
The answer is "25 ml".
Step-by-step explanation:
Dose[tex]= 500 \ mg\\\\[/tex]
Solution [tex]= 100\ \frac{mg}{teaspoonful}\\\\[/tex]
Calculating the Conversions:
Teaspoonful [tex]= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}[/tex]
[tex]\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml[/tex]
Can someone help with this please
Step-by-step explanation:
5.
[tex]3\cdot 10^{8} : 1000 = 3\cdot 10^{8} : 10^{3} =3 \cdot 10^{8-3} =3 \cdot 10^{5}[/tex]
Answer: [tex]3 \cdot 10^{5}[/tex]
6.
[tex]\dfrac{0.0046}{0.000000000513} =\dfrac{46 \cdot 10^{-4} }{5.13 \cdot 10^{-10} } =\dfrac{46 \cdot 10^{-4-(-10)}}{5.13} =\dfrac{46 \cdot 10^{6}}{5.13} \approx 9 \cdot 10^{6}[/tex]
Answer: [tex]9 \cdot 10^{6}[/tex]
HELP ASAP PLEASEEEEEEEEE
Horace is running a race. He wonders how fast he is running.
Which unit rates would be reasonable for Horace to use to describe how fast he is running?
Select each correct answer.
a miles per hour
b millimeters per minute
c kilometers per hour
d inches per hour
Answer:
C. Kiometers per hour. I think
(x^2+1)(x-1)=0 help me pls
Answer:
x = ±i , x=1
Step-by-step explanation:
(x^2+1)(x-1)=0
Using the zero product property
x^2 +1 = 0 x-1= 0
x^2 = -1 x=1
Taking the square root of the equation on the left
sqrt(x^2) = sqrt(-1)
x = ±i where i is the imaginary number
We still have x=1 from the equation on the right
Please help fast geometry !!
Answer:
1733.28
Step-by-step explanation:
we want to find the surface area of the cylinder
We are given:
diameter = 12in
height = 40in
formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)
in order to find the SA of a cylinder we need to know the radius
we are given that the diameter is 12
we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )
so r = 12/2 = 6
now to find the surface area,
we simply plug in the values of the radius and height into the SA of a cylinder formula
SA = 2πr^2 + 2πrh
r = 6
h = 40
( note it says use 3.14 for π )
substitute values
SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)
if you plug this into a calculator you get that the surface area is 1,733.28
1. when the expression x^3+ 2kx+2 is divided by x+2, the remainder is less than the remainder when the expression is divided by x+1 find the value of k. help plz
Answer:
let the polynomial be
f(x)=x³+2kx+2
is divided by
g(x)=x+2
hence
(x+2) is a factor of f(x)
so comparing with x-a we get a=-2
so
f(a)=0
f(-2)=(-2)³+2*-2*k+2
0=-8-4K+2
4k=-6
K=-6/4
k=-3/2
again
when divided by x+1
g(x)=x+1
hence
x+1 is a factor
so a=-1
f(-1)=-(1)³+2*-1*k+2
0=-1-2k+2
0=1-2k
k=1/2
The value of k is 1/2 when divided by x+1
and
K =-3/2 when divided by x+2
Nissa is going to plant 485trees this year. If Nissa plants 5 orchards of trees, how many trees will be in each orchard?
Answer:
"97" is the appropriate answer.
Step-by-step explanation:
Given:
Number of trees,
= 485
Orchards of trees,
= 5
The number of trees in each orchard will be:
= [tex]\frac{Number \ of \ trees}{Orchards \ of \ trees}[/tex]
= [tex]\frac{485}{5}[/tex]
= [tex]97[/tex]
[3x - 4 × 5] bằng bao nhiêu
Answer:
-60
Step-by-step explanation:
URGENT+Brainliest. Convert r=2sin(2theta) into rectangular cords.
Answer:
try 14n
Step-by-step explanation:
Answer:
[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]
Please mark me as Brainliest
Graph the exponential function.
f(x)=3/2(2)^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]
In one college, 67 students made the dean's list. If this was 33.5% of the student body, what was the total number of students in the college?
Answer:
Total number of students in the college = 200 student
Step-by-step explanation:
Given:
Number of student make dean's list = 67 student
Percentage of student make dean's list = 33.5% of all student
Find:
Total number of students in the college
Computation:
Total number of students in the college = Number of student make dean's list / Percentage of student make dean's list
Total number of students in the college = 67 / 33.5%
Total number of students in the college = 67 / 0.335
Total number of students in the college = 200 student
Can someone answer any of these with working out?
Answer:
sorry I don't know
sorry I Don't know
1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).
Answer:
1..
solution....
here given
25cm
1m=100cm
now,
25/100=1/4
1:4
2....
(a+4)(a-4)
a^2-4^2
a^2-16
Step-by-step explanation:
hope it will help you
Can somebody help me PLEASE IM BEGGING YOU !!
Answer:
37
Step-by-step explanation:
360 -(110+110+66) = 74
74/2 = 37
A restaurant has two appetizer specials. Tomato bread costs $5.50, and stuffed mushrooms cost $6.75. The total amount in sales from the two appetizers on a Friday night was $186.75. Which equation can be used to represent x, the number of stuffed mushroom orders and y, the number of tomato bread orders?
Answer:
6.75x + 5.50y = 186.75
Step-by-step explanation:
The stuffed mushrooms cost 6.75 dollars and the tomato bread costs 5.50 dollars.
Answer:
186.75
Step-by-step explanation:
6.75x+5.50y=186.75
In a carnival drawing, a yellow ticket wins $1, a green ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
A. 1:1
B. 1:2
C. 2:1
D. 1:3
Answer: B. 1:2
Step-by-step explanation: Since there are 20 green tickets and 5 blue tickets that means there are 25 tickets that could win $5 or above and the total number of tickets are 50. That means there is a 25/50 chance you could win a ticket above $5. If you simplify the ratio you will get 1/2 or 1:2
The odds in favor of winning $5 or more is 1:2.
In a carnival drawing, a yellow ticket wins $1, a green ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 25 yellow tickets and 5 blue tickets.
What is the odd?
Odd refers to a number that will have a remainder of 1 when divided by 2. Odd also describes something that is unusual or weird. Odd has many other senses.
Since there are 20 green tickets and 5 blue tickets that means there are 25 tickets that could win $5 or above and the total number of tickets are 50. That means there is a 25/50 chance you could win a ticket above $5. If you simplify the ratio you will get 1/2 or 1:2.
To learn more about the odds visit:
https://brainly.com/question/79151
#SPJ2
Help please fast geometry surface area!
Answer:
SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2
Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary
Answer:
678
Step-by-step explanation:
12*11=132
11*9=99
12*9=108
132+99+108=339
339*2=678
Question 7 of 25
The graph of F(x) can be compressed vertically and shifted to the right to
produce the graph of G(X). If F(X) = x2, which of the following could be the
equation of G(x)?
A. G(x) = {(x - 6)
O B. G(x) = {(x+6)
O c. G(x) = 2(x+6)
O D. G(X) = 2(x-6)
The sum of two integers equals twelve, while their product equals thirty-five. Which two numbers are they?
Answer: 5 and 7
Step-by-step explanation:
Given
Sum of the integers is 12
Product of the integers is 35
Suppose the integers are [tex]x[/tex] and [tex]y[/tex]
[tex]\Rightarrow x+y=12\\\\\Rightarrow y=12-x\\\Rightarrow xy=35\\\text{Substitute y}\\\Rightarrow x(12-x)=35\\\Rightarrow 12x-x^2=35\\\Rightarrow x^2-12x+35=0\\\Rightarrow x^2-7x-5x+35=0\\\Rightarrow (x-7)(x-5)=0\\\Rightarrow x=5\ or\ 7[/tex]
[tex]\therefore \text{y can be }7\ or\ 5[/tex]
Hence, the numbers are 5 and 7.
SOMEONE HELP ME PLEASE
Answer:
so thats 2/6 or 1/3
Step-by-step explanation:
A die has 6 sides your odds of getting 2 or lesser are 1/3 or 33%
What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
$10 bet between you and me. At any time during the game, I can ask to double it. If you accept we both put in another $10 and if you win, you win the $20 and if you lose, you lose it all. If you reject, you lose the initial $10. What is the minimum probability you would take to accept the double
Answer:
66%
Step-by-step explanation:
[tex]-10x\:+\:\left(20\cdot \left(1-x\right)\right)=\:0[/tex]
x = [tex]\frac{2}{3}[/tex] = .666 = 66%
How to solve an inequality for example 4x<24
