A cylindrical fuel tank is 1.25 meters high and has
a radius of 0.60 meter. If the tank can only be
filled to an 85% capacity to allow for expansion
of the fuel, what is the maximum volume of fuel?
Answer:
The maximum volume of the fuel is:
[tex]V_{fuel}=1.20 \: m^{3}[/tex]
Step-by-step explanation:
The volume of the cylinder is given by:
[tex]V=\pi r^{2}h[/tex]
[tex]V=\pi (0.6^{2})(1.25)[/tex]
[tex]V=1.41 \: m^{3}[/tex]
If the tank can be filled to 85% of its capacity, the maximum volume of the fuel will be:
[tex]V_{fuel}=1.41*(\frac{85}{100})[/tex]
[tex]V_{fuel}=1.20 \: m^{3}[/tex]
I hope it helps you!
f(x)=3x+4 and g(x) 4x^(2)-x
Find f(-5) and g(-2)
pls help on number 2!!
Answer:
Step-by-step explanation:
the given figure is rectangle
area of rectangle=l*b
=5*6
=30 ft^2
Answer:
Area = 30 ft²
Step-by-step explanation:
This figure is a rectangle, therefore;
Area of a rectangle = B*W
A = 5*6
A = 30
Therefore the area of the given rectangle is 30 ft²
Hope this helps!
z > 34. Which of the following statements is the best way to describe the value of z? (3 points) The value of z is less than 34. The value of z is more than 34. The value of z has a maximum of 34. The value of z has a minimum of 34.
Answer:
ans: value of z is greater than 34
Step-by-step explanation:
draw the number line as shown in picture
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles
Answer:
[tex]0.98268[/tex]
Step-by-step explanation:
We are given that
Mean, [tex]\mu=3408[/tex]miles
Variance, [tex]\sigma^2=249001[/tex]
We have to find the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles.
n=36
[tex]P(|\bar{x}-3408}|<198)=P(3408-198<\bar{x}<198+3408)[/tex]
=[tex]P(3210<\bar{x}<3606)[/tex]
=[tex]P(\frac{3210-3408}{\sqrt{\frac{249001}{36}}}<\frac{\bar{x}-\mu}{\sqrt{\frac{variance}{n}}}<\frac{3606-3408}{\sqrt{\frac{249001}{36}}}[/tex]
[tex]=P(-2.38<Z<2.38)[/tex]
[tex]=P(Z<2.38)-P(Z<-2.38)[/tex]
[tex]=0.99134-0.00866[/tex]
=[tex]0.98268[/tex]
Hence, the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles=[tex]0.98268[/tex]
this table shows somes elements of a function. which ewuation is most likely a rule for the function? pls help i’ll give brainliest
9514 1404 393
Answer:
G. f(x) = x² -3x -1
Step-by-step explanation:
You can try the first line of the table in each of the functions to see which one works.
F. -(-2) -1 = 1 ≠ 9
G. (-2)² -3(-2) -1 = 4 +6 -1 = 9 . . . . this one works
H. (-2)² -2(-2) -1 = 4 +4 -1 = 7 ≠ 9
J. 2(-2)² -1 = 8 -1 = 7 ≠ 9
Rosie spent $25 on a new DVD. What integer represents Rosie’s situation? A 50, B -25, C 0, D 25
A teacher kept track of the shirt colors her students were wearing on Wednesday. The results of her observations are shown in the table below.
What is the P(blue shirt | girl)? Write your answer as a decimal.
Answer:
.321428571
Step-by-step explanation:
P(blue shirt | girl)
This means what is the probability of a blue shirt given that we have a girl
There are 56 girls and 18 girls wearing blue shirts
P(blue shirt | girl) = girls in blue shirts / girls
= 18/56
=.321428571
How do you Solve this system of equations:
y=2x-1
4x+3y=7
Answer:
(1, 1)
Step-by-step explanation:
I've attached a picture above. Do tell me if you're still confused. This is just one of many methods
Answer:
(1,1)
Step-by-step explanation:
See the steps below:)
The right triangle below illustrates a parking lot, with the right angle at the bottom right of the triangle. Find the length x. Show all your work
....You didn't attach nothing but if X is the thing I wrote below. Do A^2+B^2=C^2. Basically the left side squared plus the bottom side squared equals X squared. Then square root What the left side of the equation is.
| \
| \ X
| \
| \
----------------------
The following examples illustrate the commutative property of multiplication.
5 · 2 · 9 = 2 · 5 · 9
3.14 · 2 = 2 · 3.14
Study the examples, then choose the statement that best describes the property.
a · b = a ÷ b
a · (b · c) = (a · b) · c
a · b = b · a
a · b = a · c
What is the product of the binomials below?
(5x + 2)(4x + 4)
A. 20x2 +28x+6
O B. 20x2+28x+8
O C. 9x2 +28x+6
O D. 9x2 +28x+8
Step-by-step explanation:
everything can be found in the picture
The top of an 18-foot ladder touches the side of a building 14 feet above the ground. Approximately how far from the base of the building should the bottom of the ladder
be placed?
Answer:
Assuming that ladders should be placed at an 75° angle, let's translate it into a slope of 3.732 of a line (looked the value up, was too lazy to calculate it)
the distance from the orign in the picture is your answer, and one side of a triangle formed by the wall, the ground and the ladder
Item 7 Aja's cat weighs 12 pounds. Bo's dog weighs 4 times as much as Aja's cat. How much does Bo's dog weigh?
Answer: 12x4= 48 so 48
Step-by-step explanation:
what is the value of my in 7=1/4m?
Step-by-step explanation:
m is
[tex] \frac{1}{28} [/tex]
Please show work. What is the volume of the figure?
Answer:
Volume = 288 in.³
Step-by-step explanation:
Volume of the solid = volume of the cube + volume of the square pyramid
V = a³ + ⅓*a²*h
a = 6 in.
h = 12 - 6 = 6 in.
Plug in the values into the volume formula
Volume = 6³ + ⅓*6²*6
Volume = 216 + 72
Volume = 288 in.³
write all trigonometric values
Answer:
Step-by-step explanation:
[tex]\theta[/tex] 0° 30° 45° 60° 90°
[tex]Sin \theta[/tex] [tex]0[/tex] [tex]\frac{1}{2}[/tex] [tex]\frac{\sqrt{2}}{2}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]1[/tex]
[tex]Cos \theta[/tex] [tex]1[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]\frac{\sqrt{2} }{2}[/tex] [tex]\frac{1}{2}[/tex] [tex]0[/tex]
[tex]Tan \theta[/tex] [tex]0[/tex] [tex]\frac{1}{\sqrt{3} }[/tex] [tex]1[/tex] [tex]\sqrt{3}[/tex] ∞
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse
cos A=adjacent/hypotenuse
tan A=opposite/adjacent
cosec A=hypotenuse/opposite
sec A=hypotenuse/adjacent
tan A=adjacent/hypotenuse
Hope this helps u!!
Help with both of these please!
for a rectangle, which of the following are true?
Answer:
Step-by-step explanation:
A: not the answer. It would be for a square or rhombus.
B: True
C: True
D: True
E: True
F: No this one is false. Consecutive sides means 1 length and 1 width. If they are congruent, you have a square or rhombus, but not a rectangle.
need help with this math problem
Answer: D) The value of [tex]\sqrt{215}[/tex] is between 14.5 and 15
Step-by-step explanation:
Let's start by taking the squaring these numbers.
[tex]13^2=169\\13.5^2=182.25\\14^2=196\\14.5^2=210.25\\15^2=225[/tex]
215 is in between 14.5 squared and 15 squared. That means its square root will be between 14.5 and 15.5
What is the volume of Maria's model in cubic centimeters?
a. 1,200 cu cm
b. 400 cu cm
c. 160 cu cm
d. 600 cu cm
Answer:
400 cu cm
Step-by-step explanation:
Volume = Length · width · height /3
Volume = 10 · 10 · 12 / 3
Volume = 1,200 / 3
Volume = 400 cu cm
Each gram of fat is 9 calories. Each serving of cake is 700 calories. What percent of these calories are from fat?
Answer:
1.3%
Step-by-step explanation:
[tex]\frac{9}{700}[/tex]
9 ÷ 700
0.0129
0.0129 × 100
1.3%
georgianne completed 60% of her homework assignment. write the portion of her homework that she still needs to complete as a fraction
HELPP PLEASE
Answer:
4/10 or 40/100
Step-by-step explanation:
it is 4/10 or 40/100 because 100 - 60 = 40
and 60% as a fraction is 6/10 or 60/100
so it is 40/100 or 4/10
hope this helped :)
PLEASE HELP I WILL GIVE THE BRAINLIEST ANSWER FAST
second attachment has the diagram
Answer: B and E apply. I know for sure.
What is the radius of a sphere with a volume of 3675 m^3, to the nearest tenth of a meter?
Answer:
9.57m
Step-by-step explanation:
Answer:
Other person's wrong, I tried their answer. It's actually 9.6. They would've been right but they rounded to the nearest HUNDREDTH. Not tenth.
Can anybody help me find the answer
Answer:
8 units²
Step-by-step explanation:
2(2) + 2(2) = 8
A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.
Answer: T=1700
Step-by-step explanation:
1. Which equation should be used to find the area of the triangle below? *
1 point
5 inches
-5 inches
2 inches
Answer:
See Explanation
Step-by-step explanation:
Required
Expression for area of triangle
This is calculated using
[tex]Area = \frac{1}{2} * base * height[/tex]
Assume that:
[tex]base = 5cm; height = 2cm[/tex]
The equation becomes
[tex]Area = \frac{1}{2} * 5* 2[/tex]
Find the relation independent of y for the following equation
y^2-2y+1 = 0
-y^2+3y+m =0
Answer:
m=−2,y=1
Step-by-step explanation:
A cuboid with a volume of 924 cm^3 has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Find the longest length of the Cuboid.
Answer:
21
Step-by-step explanation:
Volume of a cuboid is given by
V = l*w*h
924 = 4 (x+1) (x+11)
FOIL
924 = 4(x^2 +11x+x+11)
924 = 4(x^2+12x+11)
Divide each side by 4
231 = (x^2+12x+11)
Subtract 231 from each side
0 = x^2 +12x +11-231
0 = x^2 +12x - 220
Factor
0 = (x+22) (x-10)
Using the zero product property
x+22 =0 x-10 =0
x=-22 x=10
We cannot have a negative length
x=10
The side lengths are 4, 10+1, 10+11
4,11,21
The longest is 21