Answer:
a) 80
b) 56
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
Answer:
a) 117.75
Step-by-step explanation:
3.14 * 2.5^2=19.625
19.625*6=117.75
Write the interval(s) over which the function is continuous:
Answer:
See below ~
Step-by-step explanation:
Intervals over which the function is continuous :
Left line :
Left hand limit (LHL) = -∞Right hand limit (RHL) = -2Interval = (-∞, -2)===========================================================
Central line
LHL = -2RHL = 1Interval is : [-2, 1)=============================================================
Right line :
LHL = 1RHL = ∞Interval is : (1, ∞)The sum of twice a number and 4 times another number is 4. The first number decreased by the
econd number is 5. Find the numbers.
Answer:
4 and -1
Step-by-step explanation:
Let :
First number = xSecond number = yEquations formed :
2x + 4y = 4 ⇒ x + 2y = 2x - y = 5Subtract : Equation 1 - Equation 2
x + 2y - x + y = 2 - 53y = -3y = -1x - (-1) = 5x + 1 = 5x = 4The numbers are : 4 and -1
The area of the circle above is 200.96 units? What is the circumference of the circle? Use a = 3.14.
Circumference = 2777
Area = 792
A. 50.24 units
B. 25.12 units
C. 100.48 units
D. 66.99 units
Answer:
50.24
Step-by-step explanation:
Area = 200.96
Let's find the raidus from the area formula.
200.96 = π · r^2
Divide both sides by π !
64 = r^2
square root both sides
r = 8.
Now since we know the raidus we can find the circumferewnce.
-
c=2πr
c=2*3.14*8
c= 50.24
16. Solve for "X".
a. 6
b. 100
c. 36
Answer:
a
Step-by-step explanation:
6+10+8=24=iscolecles triangle
Answer:
A
Step-by-step explanation:
cosθ = 8/10
θ = arcCos(8/10)
θ =36.87
cot(36.87) = 8/x
1.33 = 8/x
x1.33 = 8
x = 6
Therefore , A is the correct Answer
HELP ITS DUE IN 20 MINUTESSSS
Answer:
first you have to order the numbers
8, 10, 13, 18, 23, 25, 26, 30
Median is between 18 and 23 so we add them then divide the sum by 2
Median: (18 + 23)/2 = 20.5
First Quartile is between 10 and 13 so we add them then divide the sum by 2
First Quartile: (10 + 13)/2 = 11.5
Third Quartile is between 25 and 26 so we add them then divide the sum by 2
Third quartile: (25 + 26)/2 = 25.5
Range: 30 - 8 = 22
Sorry I don't know how to draw a diagram on brainly
how to solve fourier series
The rectangle has an area 125 square inches find the length and width
Answer:
1 and 125, 5 and 25
Step-by-step explanation:
Any two numbers that multiply to 125 could be considered as the length and width. Because the formula is: A=wl.
Pls help me with this math equation
For F(x)=3x+4 and g(x)= x^2-3x, find g(f(x)).
Answer:
g(f(x)) = 9x² + 15x + 4
Step-by-step explanation:
Given :
⇒ f(x) = 3x + 4
⇒ g(x) = x² - 3x
=============================================================
Solving :
⇒ g(f(x))
⇒ g(3x + 4) = (3x + 4)² - 3(3x + 4)
⇒ g(3x + 4) = (3x)² + 2(3x)(4) + (4)² - 9x - 12
⇒ g(3x + 4) = 9x² + 24x + 16 - 9x - 12
⇒ g(f(x)) = 9x² + 15x + 4
A certain circuit is properly fused for a 5-horsepower motor. If the motor is to be replaced by several 5/8 horsepower motors, how many motors will the fuses be able to carry?
Answer:
8 motors
Step-by-step explanation:
The fuses can carry one 5 HP motor.
This replaced by n number of 5/8HP motors.
That mean the new values of horsepower is equal to the previous value.
5 = n * 5/81 = n/8n = 8 motorsFor every 5 students it would cost:
36.25 for admission to the museum and
31.50 for lunch
what is the total cost in dollars for admission and lunch for each student?
what is the total cost in dollars for admission and lunch for all 30 students?
1 student:?
30 students:?
Answer: 30 students: $346.5
1 student: $11.55
Step-by-step explanation:
The total cost in dollars for admission and lunch for 30 students is $406.6 and for each student is $13.55.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of single unit, and then finding the value the necessary value by multiplying the single unit.
According to the given question
Cost price for five students for taking admission to the museum and lunch is 36.25 and 31.50 respectively.
cost price for one student for taking admission in museum = [tex]\frac{36.25}{5} = $7.25[/tex]
cost price for one student lunch = [tex]\frac{31.50}{5} = 6.3[/tex]
Therefore,
The total cost for each student for the admission and lunch = 7.25+6.3 =
$13.55
And, the total cost for 30 students for admission and lunch = 30×$13.55 =$406.5
Hence, the total cost for admission to museum and lunch for each student is $13.55 and for 30 students is $406.6.
Learn more about unitary method here:
https://brainly.com/question/22056199
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The sum of two numbers is -24. if one of them is -12, find the other number.
Answer:
-12
Step-by-step explanation:
Answer:
let the unknown number be 'x'
x + (-12) = -24
x = -24+12
x = -12
pls help i will mark brainlyest
Answer:
∠b=82°
Step-by-step explanation:
143°=∠c+∠b (exterior angle property)
143°=61°+∠b
∠b=143-61
∠b=82°
help pleaseeee explain too if you can
Answer:
x=10
y=[tex]10\sqrt{3}[/tex]
Step-by-step explanation:
Since there is a 30 degree angle, it is a special right triangle, 30 60 90 triangle. The shorter leg represents "a," the longer leg represents "a√3", and the hypotenuse represents 2a.
The triangle has a hypotenuse of 20 and we are trying to find x and y. x=10 because x is the opposite side of 30 degrees and x is half of the hypotenuse. y=[tex]10\sqrt{3}[/tex] because we already know the x value and y is opposite of 60 degrees. As mentioned before, the longer leg represents a√3.
Hope this helps and have a good day.
1) A bread recipe contains 60g of butter, 40g of salt and 100g of flour.
a) What percentage of the ingredients are salt and flour?
Answer:
Ingredient Percentage=Ingredient Weight/Total Flour x 100%
Step-by-step explanation:
For example, if a formula calls for 60 pounds of water and 100 pounds of flour, the baker's percent would be 60% water. If there are two types of flour being used, the combination of the weight of both flours will be 100%.
63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33
Hey there!
(6^3 * 2^6) / 2^3
= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2
= (36 * 6 * 4 * 4 * 4) / 4 * 2
= (216 * 16 * 4) / 8
= 3,456 * 4 / 8
= 13,824 / 8
= 1,728
Looking for something that gives you the result of: 1,728
Option A.
12^3
= 12 * 12 * 12
= 144 * 12
= 1,728
Option A. is. possible answer
Option B.
6^3
= 6 * 6 * 6
= 36 * 6
= 216
216 ≠ 1,728
Option B. is incorrect
Option C.
12^6
= 12 * 12 * 12 * 12 * 12 * 12
= 144 * 144 * 144
= 20,736 * 144
= 2,985,984
2,985,984 ≠ 1,728
Option C. is also incorrect
Option D.
2^6 * 2^3
= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4 * 4 * 2
= 16 * 16 * 2
= 256 * 2
= 512
512 ≠ 1,728
Option D. is also incorrect
Option E.
2^3 * 3^3
= 2 * 2 * 2 * 3 * 3 * 3
= 4 * 2 * 9 * 3
= 8 * 27
= 216
216 ≠ 1,728
Option E. is also incorrect.
Therefore, the answer should be:
Option A. 12^3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find HK using proportions and Pythagorean theorem
Check the picture below.
The function, f(x), is plotted below.
Evaluate the following limits:
N
lim f(x)
-1
lim f(x) =
x -1
What is the value of the function at x = 1?
f(1) =
the answer is -2
Yw :D
Express the d= rt in terms of the time, t. Use the formula to find the time when the distance is 40 and the rate is 8.
Answer:
5
Step-by-step explanation:
Divide the expression by r on both times; d/r=rt/r. You'll remain with t=d/r.
then substitute t=40/8 which equals to 5.
What is the solution of the system below?
x + 2y = 4
y=-2x - 1
Answer:Point form is (-2,3)
Equation form is x=-2y=3
Step-by-step explanation:
Translate the sentence into an equation.
Nine less then the product of 5 and a number equals 7.
Use the variable x for the unknown number.
Answer:
9 - 5x = 7
Step-by-step explanation:
Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7
9 - 5x = 7
Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 12 weeks, how many total miles would Ai Mi have run, to the nearest whole number?
Answer:
267 miles
please vote me brainliest. Thank you.
At the end of 12 weeks, Ai Mi has run 22 miles.
As mentioned in the question, Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week.
What is an exponential function?The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Let the total run be x, for 12 weeks
According to the question,
x = 12×(1 + 5%/100)¹²
x = 12(1.05)¹²
x = 21.55
x ≈ 22 miles
Thus, At the end of 12 weeks, Ai Mi has run 22 miles.
Learn more about exponential function here:
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There are 276 students.
158 of the students are females.
82 of the males enrolled in magic college.
102 of the females enrolled in magic college.
(a) Create the two-way table based on the given data.
(b) What percentage of students were males that went to magic college?
(c) What percentage of females went to magic college?
Step-by-step explanation:
Number of males is
276 - 158 = 118Number of males not enrolled
118 - 82 = 36Number of females not enrolled
158 - 102 = 56(a)
The table based on data is
Enrolled Not enrolled Total
Male 82 36 118
Female 102 56 158
Total 184 92 276
(b)
Percentage of students were males that went to magic college
enrolled male / total students = (use table above)82/276*100% = 29.71% (rounded)(c)
Percentage of females went to magic college
enrolled female / total female = (use table above)102/158*100% = 64.56% (rounded)Answer:
a) see below
b) 29.7% (1 d.p.)
c) 64.6% (1 d.p.)
Step-by-step explanation:
Part (a)
Using the given information to create a two-way table:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & \\\cline{1-4} \sf Not\:enrolled & & &\\\cline{1-4} \sf Totals & 158 & & 278\\\cline{1-4}\end{array}[/tex]
Calculations to fill the table:
Total enrolled = 102 + 82 = 184Female not enrolled = 158 - 102 = 56Male total = 278 - 158 = 120Male not enrolled = 120 - 82 = 38Total not enrolled = 56 + 38 = 94Therefore:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & 184 \\\cline{1-4} \sf Not\:enrolled & 56 & 38& 94 \\\cline{1-4} \sf Totals & 158 &120 & 278\\\cline{1-4}\end{array}[/tex]
Part (b)
[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]
Number of students who are male and enrolled = 82
Total number of students = 278
[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{82}{278}\right) \times 100\\& = \sf 29.7\%\:\:(1\:d.p.) \end{aligned}[/tex]
Part (c)
Total number of females enrolled = 102
Total number of females = 158
[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{102}{158}\right) \times 100\\& = \sf 64.6\%\:\:(1\:d.p.) \end{aligned}[/tex]
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. What is C?
Answer:
C is 6.3
Step-by-step explanation:
We can apply the pythagorean theorum to find C.
A is 2, B is 6
A^2 + B^2 = C^2
2^2 + 6^2 = C^2
C^2 = 40
C = 6.32455532
The width of a rectangle is 4 cm and its perimeter is 26 cm. What is the perimeter of a square has the same area as the rectangle
Answer:
length = 9 cm
Step-by-step explanation:
perimeter = p =26 cm
width = w= 4 cm
perimeter of a rectangle= 2*w+2*L
L= length
so we have:
26 = 2*(4) +2*L
26= 8 +2L
26-8 = 2L
18 = 2L
L= 18/2
L =9 cm = length
A 16 oz. sports drink costs 2.39 what is the unit price rounded to the nearest cent
Answer:
$0.15 per ounce
Step-by-step explanation:
Unit price = cost / volume of drink
$2.39 / 16 oz = $0.15 per ounce
Hope this helps
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.
Part A
Find the volume of the fish tank in cubic inches.
The volume is
cubic inches.
Part B
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.
Convert 976 cups to gallons.
976 cups equals
gallons.
Answer:
A. 14040 cubic inches
B. 61 gallons
Step-by-step explanation:
The volume of a cuboid is given by the formula ...
V = LWH
__
A.One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.
One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.
The volume of the fish tank is ...
V = (39 in)(18 in)(20 in) = 14,040 in³
The volume is 14,040 cubic inches.
__
B.One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.
976 cups equals 61 gallons.
_____
Additional comment
One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.
Cam's Cupboard grocery store is having a sale on canned goods. Tiana decides to stock up
and purchases 12 cans of soup. During the sale, cans of soup sell for $0.55 les than full
price. Tiana pays a total of $13.20 for the cans of soup.
Which equation can you use to find the amount, f, each can of soup costs at full price?
0.55(f - 12) = 13.20
12(f - 0.55) = 13.20
0.55f - 12 = 13.20
12f - 0.55 = 13.20
How much does each can of soup cost at full price?
$
Answer:
1.65
Step-by-step explanation:
equation will be 12(f−0.55)=13.20
12f−6.6=13.20
12f = 19.8
f = 19.8/12 = 1.65
So, each can of soup at full price is $1.65.
Mieko bought 2 gallons of paint. She used 1/4 of the paint in her bedroom, 3 quarts in the hallway, and the rest of the paint in the living room. How many quarts of paint did she use in the living room?
A: 3 Quarts
B. 8 Quarts
C. 10 Quarts
D. 12 Quarts
=======================================================
Explanation:
1 gallon = 4 quarts
2 gallons = 8 quarts
1/4 of 8 quarts = 2 quarts
She used 2 quarts for her bedroom and 3 for the hallway. Therefore, she used 2+3 = 5 quarts total.
That leaves 8 - 5 = 3 quarts for the living room.
Answer:
A: 3 Quarts
Step-by-step explanation:
1 gallon = 4 quarts
1/4 of 2 gallons = 1/4 × 2
= 1/2 gallon
⇒ 1/2 gallon = 2 quarts
Therefore, Mieko used 2 quarts of paint to paint her bedroom.
If she used 3 quarts to paint the hallway, then
⇒ total number of quarts used = 2 + 3 = 5 quarts
As she bought a total of 2 gallons of paint:
⇒ 2 gallons = 2 × 4 = 8 quarts
Therefore the remaining unused paint (to paint the living room) is:
⇒ total paint - used paid = 8 quarts - 5 quarts
= 3 quarts
Pls help me with this! Thank you! God bless you
Answer:
10) 5.34
11) 2 pack tooth pastes are more expensive
12) Neil
13) 300cm
14) 15cm
15) 448cm
16) 17cm = 170mm
5km = 5000m
17) 20cm = 200mm
Step-by-step explanation:
put as brainliest please
I already put explanation in answer
Answer:
10. $6.28
11. You can see that the 2-pack of toothpaste is more expensive.
12. Neil had more hair cut off, 2.53 > 2.35.
13. 300 centimeters.
14. The ceiling in the hall is 15 centimeters taller than the one in the classroom.
15. 112 centimeters.
16. 5 meters = 500 millimeters
5 kilometers = 5,000 meters
17 centimeters = 170 millimeters
17. 5 meters = 5,000 millimeters
20 centimeters = 200 millimeters
Step-by-step explanation:
10. 2.88 + 2.88 + 0.52 = 6.28
11. Already explained
12. Already explained
13. 1 meter is 100 times a centimeter.
14. 1 meter is 100 times a centimeter.
15. Half of 56 is 28. 4 times 28 is 112.
16. 1 meter is 1000 times a millimeter, 1 kilometer is 1000 times a meter, and 1 centimeter is 10 times a millimeter.
17. 1 centimeter is 10 times a millimeter, and 1 meter is 1000 times a millimeter.
can you please help me i give you extra pointss
Answer:
(2,-2), (4,-2), (1,-4), (6,-4)
