Answer:
18x^3sqrt(7)
Step-by-step explanation:
14x^3sqrt(7)+4x^3sqrt(7); factor our 4 in the first radical and factor out x^6 in both radicals
Add like terms;
18x^3sqrt(7).
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....Determine the area for the figure below.
Answer:
Area = 18
Step-by-step explanation:
Trapezoid formula is Area = (a + b) * h/2
Area = 5 + 7 * 3/2
Area = 18
Please help! And hurry
Answer:
the answer is b
Step-by-step explanation:
Answer:
b: 78.5cm²
Step-by-step explanation:
answer is b my friend
Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40
Complete question is;
Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?
A) 12x
B) 12x² + 40
C) 12x + 40
D) 8x + 40
Answer:
C: 12x + 40
Step-by-step explanation:
We are told that the Cost to rent tables from Company A is;
f(x) = 4x + 25
Also, we are told that the Cost to rent tables from Company B is;
g(x) = 2(4x) + 15
Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;
Total = f(x) + g(x)
Total = 4x + 25 + 2(4x) + 15
Total = 4x + 25 + 8x + 15
Total = 12x + 40
Gor is running a bakery. He has made a street sign to direct people to his
bakery. He painted one side of the post and sign. What is the painted area?
15 in
15 in
8 in
50 in
6 in
A. 390 square inches
B. 585 square inches
Answer:
B.
Step-by-step explanation:
The street sign is composed of two rectangles and 1 triangle.
Painted area = area of triangle + area of rectangle 1 + area of square
✔️Area of triangle = ½bh
b = 15 in.
h = 8 in.
Area of triangle = ½*15*8 = 60 in.²
✔️Area of rectangle 1 = L*W
L = 50 in.
W = 6 in.
Area = 50*6 = 300 in.²
✔️Area of Square = s²
s = 15 in.
Area = 15² = 255 in.²
✅Painted area = 60 + 300 + 225 = 585 in.²
Answer:
B. 585 square inches :)
Step-by-step explanation:
for what value of x is the equation 2x-3 over -3+4 =3 true
Answer:5
Step-by-step explanation:
......
What is the value of N in this proportion 16/40= 8/n
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{16}{40} = \frac{8}{n}[/tex]
Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore the value of "n" in this proportion is 20.
Hope this helps!
Problem Solving
Find the exact solution of each equation for 0 and greater than or equal to q and less than 2pi.
4 cos^2q=3
Solve for y: 3y - x = a
Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
------------------------
For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
------------------------
Overall, we have four true statements and they are choices B, C, E and F.
PLS ANSWER RN
What is the area of AJKL?
Answer:
8.5
Step-by-step explanation:
slope of the line that contains KL
(y2 - y1)/(x2-x1)
(0-1)/(7-3)
m = -1/4
slope of the line that contains JK
(5-1)/(4-3)
m = 4
the linea are perpendicular so triangle is right
area = (leg1 x leg2)/2
KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]
KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]
area = (√17)^2/2 = 17/2 = 8.5
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38) (−5, −38) (5, 38) (5, −38)
Answer:
(5,38)
Step-by-step explanation:
Use graphing calculator and the answer should be the point where the line crosses each other.
Answer:
5,38
Step-by-step explanation:
its correct!
the parabola y=-x^2+12x-11 has an axis of symmetry of x=6. which of the following represents its range?
1) y>-11
2)y<25
3)y<6
4)y>10
(all of the ">/<" are underlined ones)
Answer: 1) y>-11
Step-by-step explanation:
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
34. find the square root of 298116 by
using long division method *
Answer:
hope it is helpfulto you
Answer:
Step-by-step explanation:
The answer is 546
Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.
Evaluate the expression when x=7 and y=-3. 5y2-x
PLEASE HELP QUICK!!!
COMPOUND INTEREST!!!
$600 is deposited in an account that pays 7% annual interest, compounded continuously. What is the balance after 5 years?
9514 1404 393
Answer:
$851.44
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . principal P, interest rate r, t years
Using the given numbers, we find the balance to be ...
A = $600·e^(0.07·5) ≈ $851.44
brainliest and many poitns FAST
Answer:
you're answer is, 22
Answer:
Solution given;
[tex]11 \div \frac{1 }{2} = \frac{11}{ \frac{1}{2} } = 11 \times 2 = 22[/tex]
22 is a required answer:.
how to find the vat on 14% of 1800
Answer:
[tex]14 \ 100 \1800[/tex]
A tortoise and hare are competing in a race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
If we want to compute the number of seconds needed for the hare to finish the race, which of the following procedures should be used?
A. Solve g(t)=0 for the value of t.
B. Solve g(t)=1000 for the value of t.
C. Evaluate g(0).
D. Solve f(t)=g(t) for the value of t.
E. Evaluate g(1000).
Answer:
g(t) = 0; solve for t
Step-by-step explanation:
Given
Options (a) to (e)
Required
Which of the options is true
From the question, we understand that: g(t) represents hare's time to complete the race
At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.
Take for instance:
[tex]g(t) = 10 - t[/tex]
The time to complete the race is: g(t) = 0
So, we have:
[tex]0 = 10 - t[/tex]
Collect like terms
[tex]t = 10[/tex]
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Linear equation
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).
Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Find out more on Linear equation at: https://brainly.com/question/13763238
3 to the fourth power +9
Answer:
81
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
Answer: 90
Step-by-step explanation:
3 to the fourth power = 81
81 + 9 = 90
what is the solution set for this inequalty? -8x + 40> -16
Answer:
x < 7
Step-by-step explanation:
-8x + 40> -16
Subtract 40 from each side
-8x + 40-40> -16-40
-8x >-56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x < 7
HELP PLS +10 BRAINLY POINTS (SHOW WORK PLS)
Hi there!
[tex]\large\boxed{\text{System G.}}[/tex]
For a system to have an infinite number of solutions, both expressions must be equal. We can go through each system and determine this:
F:
x + 2 = y
4 = 2y - x
If we rearrange so that both are in the same format, we get:
x + 2 = y
x + 4 = 2y
These cannot be equal, so they do not have infinite solutions.
G:
2y + 6 = 4x
-3 = y - 2x
Rearrange:
2y + 6 = 4x
-y - 3 = -2x
We can try to make the bottom equation look like the top equation by multiplying all terms by -2. We get:
2y + 6 = 4x. This is the same as the top, so G has infinite solutions.
Just to be sure, we can go through the others:
H:
y + 3 = 2x
4x = 2y - 3
Rearrange:
y + 3 = 2x
2y - 3 = 4x. Cannot be equal to the other equation.
J:
y = 2x - 5
y = 2x - 2. Not equal.
The correct answer is G.
PLEASE HELP ASAP/ SOON
THANK YOU
Find the sum, if it exists, of the infinite geometric series that is related to the infinite geometric sequence {1,521, ; 1,369 ; 1,232; ...}. Round the value of r to the nearest hundredth, if needed
S = 16,643
S = 15,210
The infinite geometric series diverges.
S = 12,560
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
If a survey is selected at random, what is the probability that the student is a girl who chose apple as her favorite fruit
Answer:
0.15
Step-by-step explanation:
Total number of students surveyed = 300
From the table,
(Girl n apple) = 46
P(girl n apple) = 46 / 300 = 0.153
The 7th grade class is going on a trip to Disneyland there are 162 learners and 24 LF's attending the trip one bus can hold 65 people how many buses do they need to order to take everyone to Disneyland
Answer: about 3 buses
Step-by-step explanation: 162+24=186 and 65*3=195 so 3 buses is enough
Hope this helps:)
Goldilocks needs to find at least 12 lbs gold and 18 lbs silver to pay monthly rent. Each day in Mine 1 she finds 2 lbs gold and 2 lbs silver. Each day in Mine 2, she finds 1 lb gold and 3 lbs silver. Set up and solve using either LPsolve or on-line solver How many total days in the mines
Answer:
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Step-by-step explanation:
Requirement : 12 Ibs gold and 18 Ibs silver to pay monthly rent
Mine 1 ; 2 Ibs of gold , 2Ibs of silver.
Mine 2; 1 Ib of gold , 3 Ibs of silver
using LP
Gold : aX1 + bX2 ≥ 12 ---------- ( 1 )
Silver: cX1 + dX2 ≥ 18 --------- ( 2 )
where; X1 = days spent in Mine 1
X2 = days spent in Mine 2
Total days spent in mines : X1 + X2 =
a = Gold found in mine 1 = 2
b = Gold found in mine 2 = 1
c = silver found in mine 1 = 2
d = silver found in mine 2 = 3
Back to equations 1 and 2
2X1 + X2 ≥ 12 ----------- ( 3 )
2X1 + 3X2 ≥ 18 ------------ ( 4 )
solving equations 3 and 4
= 0 + 2X2 ≥ 6 ∴ X2 ≥ 3 days ( days spent in mine 2 )
Input value into ( 3)
2X1 ≥ 12 - 3 = 9
∴ X1 ≥ 4.5 days ( days spent in mine 1 )
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?
Answer:
8/5
Step-by-step explanation:
First find h(-3)
h(-3)= 4-(-3) = 4+3 = 7
Then take this result and find g(h(-3)) = g(7)
g(7) = (7+1)/( 7-2) = 8/5