Answer:
1550 mL
Step-by-step explanation:
Total capacity of water = 4 Litre
4 L = 4 * 1000 mL = 4000 mL
200mL cups filled = 1 ; 200 mL
750mL cups filled = 3 ; 750 * 3 = 2250 mL
Total = (200 + 2250) mL = 2450 mL
Water left in filter :
(4000 - 2450) mL = 1550 mL
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
Given f(x) = -10x + 11, find f(22)
Answer:
-209
Step-by-step explanation:
-10*(22)+11
-220+11
-209
Answer: -209
Step-by-step explanation:
f(22)=-10(22)+11
f(22)=-220+11
f(22)=-209
6 members each swam 1,685 meters during the season; how many total kilometers did the 6 members swim during the season
Answer:
10.110 km
Step-by-step explanation:
1000 meter = 1 kilometre
Since we are to provide the answer in kilometres, we have to convert the meters to kilometres
1685 m = 1685/1000 = 1.685km
Total kilometres swan by the 6 members = 1.685km x 6 = 10.110 km
Method 2
1.685km + 1.685km + 1.685km + 1.685km + 1.685km + 1.685km = 10.110km
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.
Answer: 2
Step-by-step explanation:
Given
In a litter of 10 Puppies, 4 are black i.e.
[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]
In a litter of 5, there would be
[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]
There are 2 black puppies
please help i suck at math and I am in class
Answer:84.84m^2
Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.
Step-by-step explanation:
This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.
how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above
What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45
Answer:
c
Step-by-step explanation:
20w=4w*5w
45WT=5WT*9WT
Division sum:
12 ➗ 2 =
100 ➗ 1 =
Answer:
12÷2=6
100÷1=100
Step-by-step explanation:
Answer: 6 and 1
Answer:
6
100
Step-by-step explanation:
in division:
12÷2=6
100÷1=100
find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees
What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
James made 8 pancakes that are all approximately 4 inches in diameter, and 0.5 inches tall. He stacks all of the pancakes on top of each other. What is the total approximate volume of the stack of pancakes rounded to the nearest cubic inch?
A. 16 cubic inches
B. 50 cubic inches
C. 100 cubic inches
D. 201 cubic inches
Answer:
The answer is A:16
Step-by-step explanation:
8+4+0.5=16 I think so
what is equvalint to 1/2a-4
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9
Between which two points can you draw a line with a negative slope? Pls answer quick
Answer:
Between A and C.
Step-by-step explanation:
A negative slope rises to the left (\).
Answer:
a line between a and c
Step-by-step explanation:
if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
Do the following setm of lengths form a right triangle 36,77, 85
Answer:
They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.
Answer:
yes
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.
longest side = 85 and 85² = 7225
36² + 77² = 1296 + 5929 = 7225
Thus the 3 sides form a right triangle
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
the width is x - 3
~iwa-chan
6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft
I a) Yes
b) No
Answer:
No
Step-by-step explanation:
the sum of the two shorter sides must be greater than the longer side
(not even if it is equal to, as in this case)
Here are some formulas to see if 3 sides can make a triangle...
[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]
So a=3
b=5 and c=8
3+5=8
So no it can't.
Urgent!!!
set whether each of the following equations represents a growth or decay
1. f(x)= 3[tex]^{x}[/tex]
2.f(x) = (0.25)[tex]x^{x}[/tex]
3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]
4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]
Answer:
Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.
A general exponential equation can be written as:
f(x) = A*(r)^x
Where A is the initial value, r is the rate of growth, and x is our variable.
If r > 1, the function represents a growth.
if 0 < r < 1, the function represents a decay.
1) f(x) = 3^x
Here we have r = 3
This is clearly larger than 1, then this function represents a growth.
2) f(x) = (0.25)^x
Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.
3) f(x) = (2/3)^x
here we have r = 2/3 = 0.66
This is larger than zero and smaller than 1, then this function represents a decay.
4) f(x) = (3/2)^x
Here we have r = 3/2 = 1.5
This is larger than 1, then this function represents a growth,
Can someone help me on this question
Answer:
All real numbers such that 37.75 <or= y <or= 40
Step-by-step explanation:
This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.
20 POINTS! Please help!
Find the value of x. Round to the
nearest tenth.
x = [?]
Answer:
4 hope it helps you better
If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)
Explanation is in the file
tinyurl.com/wpazsebu
Find the area of the composite figure.
A. 51 m2
B. 81 m2
C. 102 m2
D. 420 m2
Answer:
B. 81 m²
Step-by-step explanation:
6x10 = 60
7x6 = 42
42/2 = 21
60+21 = 81
Answer:
B) 81 meters squared
Step-by-step explanation:
rectangle = 6 * 10 = 60
triangle = .5 * 6 * 7 = 21
60+21 = 81
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
This scrrenshot is the question and the the right answer for a test
Answer:
3.53
Step-by-step explanation:
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3if PQ and PR are tangent to circle S,find PQ
Answer:
From one point, you can draw two tangents to a circle. These two tangents will be equal.
Step-by-step explanation:
7x - 24 = 57 - 2x.
Rearrange the numbers (by adding 2x and 24 on both sides), we get:
7x+2x = 57 + 24
9x = 81.
x = 9.
Length of PQ = 57-2x = 57 - 18 = 39
If PQ and PR are tangent to circle S, then the value of PQ is 39.
What is tangent?"A line that touches the circle at a single point is known as a tangent to a circle."
What is circle?"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."
P is the exterior point of a circle.
PQ and PR are the tangents to circle S.
According to theorem,
The lengths of the tangents drawn from a same external point to a circle are always equal.
7x - 24 = 57 - 2x
7x + 2x = 57 + 24
9x = 81
x = 9
PQ = 7x - 24
PQ = 7(9) - 24
PQ = 63 - 24
PQ = 39
Hence, the value of PQ is 39.
To learn more about tangent of a circle here
https://brainly.com/question/23265136
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