Answer:
[tex]6x^{2} -3x+1[/tex]
Step-by-step explanation:
[tex]2x(6x^{2} -3x+1)/2x\\[/tex]
cancel 2 x
[tex]6x^{2} -3x+1[/tex]
The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose endpoints are two vertices of this solid
Answer:
9 units
Step-by-step explanation:
Given
[tex]Length = 8[/tex]
[tex]Width = 4[/tex]
[tex]Height = 1[/tex]
Required
Determine the length of the longest segment
To do this, we use:
[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]
So, we have:
[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]
[tex]Longest = \sqrt{64 + 16 + 1}[/tex]
[tex]Longest = \sqrt{81}[/tex]
Take positive square root
[tex]Longest = 9[/tex]
Hence, the length of the longest segment is 9 units
HELP MEH ples.....................
Answer:
683cm
Step-by-step explanation:
Pay attention next time
Answer:
[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]
Step-by-step explanation:
we are given the base area of a cube
recall the surface area formula of a cube
[tex] \displaystyle A_{ \text{surface}} = 6( {a}^{2} )[/tex]
notice that, we are given the base area 7cm² in other words we are given a² i.e 7cm²
Thus substitute:
[tex] \displaystyle A_{ \text{surface}} = 6( 7 )cm ^{2} [/tex]
simplify multiplication:
[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]
and we are done!
Find the lump sum that must be deposited today to have a future value of $65,000
in 10 years if funds earn 8% compounded semiannually.
Answer: 812.5
Step-by-step explanation: what i did first was divide 65000 by 10 which gave 6500 and then i divided it by 8 which gave 812.5, but i could be possibly wrong
The total use of electricity in the United States was 0.4 trillion kilowatt-hours in 1950 and about 2.8 trillion kilowatt-hours in 1990. How many times more electricity was there in 1999 than 1950? Use scientific notation
Answer: 7
Step-by-step explanation:
Scientific notation is a method that is used in very large numbers or when we've very small numbers. The number given will be multiplied by its power of 10. In this case,
2.8 trillion = 2,800,000,000,000
= 2.8 × 10^12
0.4 trillion = 400,000,000,000
= 4 × 10^11
Therefore, the times more electricity was there in 1999 than 1950 will be:
= (2.8 × 10^12) / (4 × × 10^11)
= (2.8/4) / (10^12 - 11)
= 0.7 × 10
= 7 times
There were 7 times more electricity that was there in 1999 than 1950.
Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answer:69
Step-by-step explanation:
A) $16
B) p(x) = 16x -800
C) 69 ticketsn:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
Factor the expression completely. 60x^3+50x^5
Answer: 10x^3(6+5x^2)
What are the answers to both questions?
Answer:
1. p=54
2. -2n - 14
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
2. not quiet sure so sorry if you get it wrong
BRAINIEST ANSWER
:)) please help me out!
Answer:
1,296 cm³Step-by-step explanation:
Now the formula to find the volume of a pyramid is [tex]V=\frac{lwh}{3}[/tex]
We know the length, width and height so let´s get started!
First let´s multiply to find the base. To do so, we will do length × width.
18 × 18 = 324
Now multiply by the height
324 × 12 = 3,888
After you multiply all length, width and height, we need to divide by three.
3,888 ÷ 3 = 1,296
Before we finish, we need to do the last two steps
First we need to add the measurement unit which is centimetres or cm.
We also need to add ³ since it is volume
1,296 cm³ is our final answer
what is the answer of -13=15+d ?
Answer:
d= -28..................
The function f(t) = 790(0.994) 60t represents the change in a quantity over t
hours. What does the constant 0.994 reveal about the rate of change of the quantity?
Answer:
Please check explanations
Step-by-step explanation:
From what we have, the constant term is 0.994
Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity
This is because the rate of change is less than 1
With an increasing value of power, the value of the exponent would be less than its previous value
So what this mean is that we would have less quantities over time since the value of the constant term is less than 1
Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment after two years?
Answer:
FV= £12,362.7
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £12,000
Number of periods (n)= 2 years
Interest rate (i)= 1.5% = 0.015
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 12,000*(1.015^2)
FV= £12,362.7
Un guepardo está persiguiendo a una gacela que corre a 90km/h. Le separa de ella una distancia de 20 m y lleva una velocidad de 97km/h, que mantiene durante 9s. ¿Alcanzará a la gacela?
Answer:
the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.
Step-by-step explanation:
Given that
Cheetah running at 90 km/h
Separated from a distance of 20 m
Now speed is 97 km/h
The time is 9 seconds
We need to find out whether it would catch up with the gazelle
For Gazelle
90 km = 90 × 1,000 = 90,000 m
1 h = 1 × (60 x 60) = 3600 s
Now
90,000: 3,600 = 25 m / s
For Cheetah
97 Km = 97 × 1000 = 97,000 m
1 h = 1 × (60 × 60) = 3600 s
Now
97 000: 3600 = 26.94 i.e. 27 m/s
e = 27 m /s × 9 s = 243 m
e = 25 m/s × 9 s = 225 m
Now
we have to add 20 m advantage to the gazelle.
So,
= 225 + 20
= 245 m
So based on the above calculation
the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.
The number of members in an organization, M, changes as a function of t months. In which situation is M a linear function of t?
Answer: d
Step-by-step explanation:
The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months
The probability that Scott will win his next tennis match is \frac{3}{5}
5
3
What is the probability that he will not win?
Write the answer as a percentage
3/5 is the probability that he will win, you must find a fraction which adds to make 100%.
2/5 would be the fraction for his probability to lose.
0.4 or 40%.
Use the limits to find the area between the curve and the X-axis for the given interval y = x ^ 3 from x = 0 to x = 1
Links will be reported.
Answer:
1/4
Step-by-step explanation:
D
Help!I need also the slope and yint and equation for this!!
Maurice bought 2 pound of grapes for $5.50. At this rate, how much would it cost to buy 6 pounds of grapes?
Answer:
16.5
Step-by-step explanation:
Answer:
16.50
Step-by-step explanation:
5.50 divided by 2 is 2.75
2.75 times 6 is 16.50
what does x equal? no step by step needed.
Answer:
x = 13
Step-by-step explanation:
BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7. 51 is the longer leg of triangle EFG
The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51. These ratios are equal to one another. Thus:
2x - 7 x + 4
--------- = ---------
57 51
Cross multiplication results in 51(2x - 7) = 57x + 228, or
102x - 357 = 57x + 228
Combining like terms, we get:
45x = 585, and so x = 13.
A quantity with an initial value of 2000 grows exponentially at a rate of 0.35% every
2 days. What is the value of the quantity after 73 days, to the nearest hundredth?
Answer:
2272.03
Step-by-step explanation:
Round your answer to the nearest hundredth.
C=2
A=?
B=8
Answer:
A = 8.2462112512353
I hope it's helps you
I need help I just got this today no clue how to do it it’s due tomorrow btw
Answer:
i am REALLLYYY not sure about my answer but i think its 6. i dont recommend you to put that answer in lol
Step-by-step explanation:
6 = 3/3
please help i don’t understand this
Answer:
tan45° = x/13
x=13
now y = √13²+13²
y =13√2
Answer:
x = 13
y = 13sqrt(2)
Step-by-step explanation:
it is a 45 - 45 - 90 triangle
A person whose eye level is 15 feet above the ground is looking at a building. The angle of elevation to the top of the building is 40° and the angle of depression to the bottom of the building is 15°. What is the height in feet of the building?
Answer:
61.97 feets
Step-by-step explanation:
Using trigonometry :
Horizontal distance between the person and building,
Let distance = d
Tan 15 = 15 / d
0.2679491 * d = 15
d = 15 / 0.2679491
d = 55.980781
To obtain the height, h :
tan 40 = (h-15)/d
d = 55.98
h-15 = 55.98 (tan 40°)
h - 15 = 55.98 * 0.8390996
h - 15 = 46.972797
h = 46.972797 + 15
h = 61.972797
h = 61.97 feets
For the function f(x) = 3x ^ 2 - 8 what is the average rate of change on the interval from to 10?
A. 0.03
B. 28.4
C.30
D. 292
Answer:
C
Step-by-step explanation:
Start from left to right
Answer:
Step-by-step explanation: it is jedn
Choose the correct value for x.
multiple choice.
If a fair penny is tossed 24 times and comes up heads 18 times, what is the probability of heads coming up on the 25th flip of the coin?
Could someone explain this step by step.
please help me solve 8x+2y=32 and 10x-5y=-20
its solve by subsitution
please include steps and answers
Answer:
(2,8)
x = 2
y = 8
Step-by-step explanation:
The steps are shown in the picture
Which is f(6) for the quadratic function graphed?
-2.
-0.5
1.5
4
Answer:
D. 4Step-by-step explanation:
f(6) is the intersection of vertical line going through x = 6 and the graph of the quadratic function.
By tracing the line we find the intersection is the point (6, 4)
Correct choice is D
The dimensions of this screen are 10 inches by 10 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen.
Answer:
14.14inches
Step-by-step explanation:
Given data
Length L= 10 inches
Width W= 10 inches
The size of the screen is described by the lenght of the diagonal
Applying the Pythagoras theorem we have
D^2= L^2+ W^2
D^2= 10^2+ 10^2
D^2= 100+100
D^2= 200
D= √200
D= 14.14 inches
Hence the size of the screen is 14.14inches
Answer:
A. 14
Step-by-step explanation:
Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
=> 3² + 4² = AB²
=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]
=> AB = 5