Answer:
3sqrt2 is the distance between these two points
70/5.2 + 16-1 helppppp
Answer:
28.4615384615
28.46
Step-by-step explanation:
Answer:
28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.
Step-by-step explanation:
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
minimum surface area? Calculate the minimum surface area.
Answer:
The dimensions that give the minimum surface area are:
Length = 14cm
width = 14cm
height = 14cm
And the minimum surface is:
S = 1,176 cm^2
Step-by-step explanation:
A regular rectangular prism has the measures: length L, width W and height H.
The volume of this prism is:
V = L*W*H
The surface of this prism is:
S = 2*(L*W + H*L + H*W)
If the base of the prism is a square, then we have L = W
Then the equations become:
V = L*L*H = L^2*H
S = 2*(L^2 + 2*H*L)
We know that the volume of the figure is 2744 cm^3
Then:
V = 2744 cm^3 = H*(L^2)
In this equation, we can isolate H.
H = (2744 cm^3)/(L^2)
Now we can replace this on the surface equation:
S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))
S = 2*L^2 + 4(2744 cm^3)/L
Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.
S' = 2*(2*L) - 4*(2744 cm^3)/L^2
This is equal to zero when:
0 = 2*(2*L) - 4*(2744 cm^3)/L^2
0 = 4*L*L^2 - 4*(2744 cm^3)
4*(2744 cm^3) = 4*L^3
2744 cm^3 = L^3
∛(2744 cm^3) = L = 14cm
Then the length of the base that minimizes the surface is L = 14.
Then we have:
H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm
Then the surface is:
S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2
There is a population of 192,500 bacteria in a colony. If the number of bacteria doubles every 238 minutes, what will the population be 476 minutes from now?
Answer: [tex]770,000[/tex]
Step-by-step explanation:
Given
The present population of bacteria is [tex]1,92,500[/tex]
It doubles in every 238 minutes
So, after 238 minutes it is
[tex]\Rightarrow 192,500\times 2=385000[/tex]
After another 238 minutes i.e. 476 minutes from starting, they becomes
[tex]\Rightarrow 385000\times 2=770,000[/tex]
Which of the following is a vertex of the figure shown below after a reflection in the y axis?
Answer:
A.
Step-by-step explanation:
( 5,0)
When x axises is a reflection in the y axis
I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 6)
6. Julie bought a bond with a 5.2% coupon at its face value of $1000 and held it for 15 years, until it reached maturity. The length of the period for the bond was 6 months. Provide Julie with some assistance in determining how she made out on her investment. (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 1 point; Part V – 1 point)
Part I: How many of the bond's periods were there in 1 year?
Part II: What was the periodic interest rate of the bond?
Part III: How much did the bond earn per period?
Part IV: For how many periods did Julie hold the bond?
Part V: What were Julie's total earnings on the bond?
Answer:
Part I: How many of the bond's periods were there in 1 year?
2 periods.
Part II: What was the periodic interest rate of the bond?
2.6%
Part III: How much did the bond earn per period?
$26
Part IV: For how many periods did Julie hold the bond?
30 periods
Part V: What were Julie's total earnings on the bond?
$1560
Match the resulting values to the corresponding limits.
Answer: I only got 3 of them
Lim (x->9) = - 1/52
Lim (x->6) =1/98
Lim(x->7) =-31
Step-by-step explanation:
Answer:
This was the correct answer on Edmentum.
Step-by-step explanation:
Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations
Answer:
Cyclist A lives farther from the Orchard
Step-by-step explanation:
Given
[tex]A(x) =48.5 -21x[/tex]
[tex]B(x) =42 -16.8x[/tex]
Required:
Who lives farther from the Orchard.
To do this, we simply calculate the y intercept.
This represents the total distance traveled to get to the Orchard
To calculate y intercept, we set [tex]x = 0[/tex]
So:
[tex]A(x) =48.5 -21x[/tex]
[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]
[tex]B(x) =42 -16.8x[/tex]
[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]
From the above computation:
[tex]A(0) > B(0) \to 48.5 > 42[/tex]
Hence;
Cyclist A lives farther from the Orchard
Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.
The answer is -5/2, hope this helps you!
PLEASE HELP I’ll give brainlest
Answer:
x = 10
Step-by-step explanation:
∡BDC = ∡ABD
ΔDBC = 20 + 5x - 2 + 112
180 = 20 + 5x - 2 + 112
180 = 5x + 130
50 = 5x
10 = x
jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.
Answer:
38 miles
Step-by-step explanation:
456 ÷ 12 = 38
give me brainllest
2x + 4y = 22
2x - 2y = -8
Answer:
2x+4y=22
-2x+2y=+8
6y=30
y=5
now
replace the value of y in equ i
2x +4y =22
2x+20=22
x=1
Answer: x = 1 y= 5
Step-by-step explanation:
2x + 4y = 22 -
2x - 2y = -8
--------------------
0+6y = 30
Y= 30/6= 5
Substituting,
2x+ 4*5= 22
2x+ 20 = 22
2x= 22-20 = 2
X=2/2=1
How many 1/5s are in 1?
Answer:
5
Step-by-step explanation:
1 ÷ 1/5= 1 x 5/1 =5
I hope im right!!
Can someone please help me ?
The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:
Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. ¿Se pueden unir los puntos.
Answer:
Step-by-step explanation:
Build a formula that allows you to calculate the money collected on a bus based on the tickets sold, knowing that each one costs 1.2 euros. Can you join the dots.
Spanish
A wind turbine has three equally spaced blades that are each 131 feet long. What is the measure of the arc between any two blades?
Answer:
274.23 feet
Step-by-step explanation:
From the question,
The measure of the arc between any two blades (s) = 2πrΦ/360
s = 2πrΦ/360................... Equation 1
Where Ф = angle formed betwen two blades, r = length of each blade.
Given: Ф = 360/3 (the three blades are equally spaced) = 120°, r = 131 feet.
Constant: π = 3.14
Substitute these values into equation 1
s = (2×3.14×131×120)/360
s = 274.23 feet.
Hence, the measure of the arc between any two blades is given = 274.23 feet
50 points Please please help find height and volume of pyramid!!!
Answer:
A=1/3Bh
Step-by-step explanation:
the volume is 1/3 area of the base times height, since you didn't give me any thing to work with, thats the formula, and you can find the height of the pyrimid using pothagrean theorem
Please please help me
Answer:
b) 43 degrees
Step-by-step explanation:
Answer:
Choice B
Step-by-step explanation:
The bottom right angle is 80° since thats the value of its complement
Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°
Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.
A sign next to the science lab says a person must be 54 inches tall to go in. At his last doctor's appointment, Hever was 4 feet 4 inches tall. He has grown 3 inches since then.
Answer:
Therefore he can go inside because 55 inches is taller than 54 inches.
Step-by-step explanation:
1 feet = 12 inches
His height is 4 feet and 4 inches
4 feet and 4 inches means
= 4*12+ 4
Converting feet into inches
=48+4= 52 inches
His height was 52 inches.
He has grown 3 inches
His new height is 52+3 = 55 inches
Therefore he can go inside because 55 inches is taller than 54 inches.
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
A. 50 cm?
B. 25 cm2
C. 60 cm2
D. 120 cm2
E. 90 cm2
ANSWER QUICK PLEASE
Help ME DUE in 10 mins WILL GIVE BRAINIEST IF HELP!!! SHOULD BE EASY FOR SOME
Answer:
-9n - 3
Step-by-step explanation:
Mike needs to pack school supplies for the summer. He stacks two boxes on the table to start packing. What is the total volume of the boxes?
A. 48 inches3
B. 72 inches3
C. 120 inches3
D. 168 inches3
Answer:
120 inches
Step-by-step explanation:
the first box on the bottom is 72 because 12 x 2 x 3 is 72 and the bottom on is 48 because 2 x 4 x 6 is 48. then add 72 plus 48 and it gives you 120 inches.
Kevin has $50 and wants to buy some art paper and paints. One pack of art paper cost $12 and the paints cost $6 per tube. He buys 2 packs of paper. Which inequality should Kevin solve to find the maximum number, n of tubes of paint that he can buy
Answer:
26 ≤ 6
Step-by-step explanation:
$50 is the budget
Art paper = $12
Paints = $6
He gets 2 packs of paper making it $24
$50 - $24 = $26
26 divided by 6 = 4.33333 (he can only get 4)
For some reason this was a little confusing for me so let me know if I helped at all.
What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center is (-2,0) D. r = 4; center is (2,0)
Answer:
D. r = 4; center is (2, 0)Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radiusGiven equation:
(x - 2)² + y² = 16Rewrite as:
(x - 2)² + (y - 0)² = 4²The center is (2, 0)
The radius is r = 4
Correct choice is D
General equation
(x-h)²+(y-k)²=r²Where centre is (h,k)
radius is r
(x-2)²+(y-0)²=4²Radius=4
centre (2,0)
expre
If a +b+c= -3 and 2 + y = -9,
what is --2c – 2a – 3y - 26 – 3x?
I
Stuck? Watch a video or use a hint.
Answer:
33
Step-by-step explanation:
Rewrite the bottom expression:
-2a-2b-2c-3x-3y
Factor the expression into two parts:
-2(a+b+c) + -3(x+y)
Substitute -3 for a+b+c and -9 for x+y:
-2(-3) + -3(-9)
6 + 27
33
Therefore, your final answer is 33
Help please due in a few minutes will give brainliest for correct answer
Answer:
Hi love
1. is D
2. is B
Hope this helps
5) A grocery store paid $147.98 for 7 crates of milk. This can be
expressed by the equation Y=KX. How much was it for one
crate?
Please help !
Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??
Answer:
1.014e+6
Step-by-step explanation:
can't explain, I would if I could
Answer:
1,013,760 Feet
Step-by-step explanation:
A mile is equal to 5,280 feet
Give me Brainllest plz
A group of 63 first graders is attending a field trip to the Science Museum. If each student admission ticket costs $9.25, how much did it cost for all of the first graders to attend?
Answer:
$582.75
Step-by-step explanation:
I just multiplied $9.25 by 63 (The cost of one student admission ticket times the amount of students) to get the total cost.
Hope this helps!
Answer:
Big number
Step-by-step explanation:
PLZZZZZ HELP ILL GIVE BRAINLIEST
Answer:
Hello! Your answer would be, 199.
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby