Given:
Dante bought a new graduated cylinder for his chemistry class.
Volume of the cylinder = 662.7π milliliters of liquid
Converting to cubic centimeter, we get;
Volume of the cylinder = 662.7π cm³
Radius of the cylinder = 4.7 cm
We need to determine the height of the cylinder.
Height of the cylinder:
The height of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
Substituting the values, we have;
[tex]662.7 \pi=\pi (4.7)^2h[/tex]
[tex]662.7 \pi=\pi (22.09)h[/tex]
Dividing both sides by 22.09π, we get;
[tex]30=h[/tex]
Therefore, the height of the cylinder is 30 cm.
Hence, Option C is the correct answer.
The calculated height of the graduated cylinder is approximately 30 cm, which is option C.
To determine how tall Dante's graduated cylinder is, given it holds 662.7π milliliters (mL) of liquid, we should use the formula for the volume of a cylinder, V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height.
Since 1 milliliter is equivalent to 1 cubic centimeter (cm³), we have V = 662.7π cm³, and the radius 'r' is given as 4.7 cm. Inserting these values into the formula and solving for 'h' gives us:
V = πr²h
662.7π cm³ = π × (4.7 cm)² × h
662.7π cm³ = π × (22.09 cm²) × h
662.7π cm³ = 22.09π × h
h = 662.7 cm³ /22.09
h ≈ 30cm
Therefore, the height of the cylinder is approximately option c. 30 cm.
The above question is incomplete, the complete question is:
Dante bought a new graduated cylinder for his chemistry class. It holds 662.7π milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm
A segment XD is drawn in rectangle QUAD as shown
below.
What are the measures of ZXDQ and ZUXD ?
mZXD
m2 UXD =
Answer:
∠XDQ : 41°
∠UXD: 139 °
Step-by-step explanation:
Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.
A segment XD is drawn in rectangle QUAD as shown below.
What are the measures of ∠XDQ and ∠UXD ?
My answer:
As we can see in the photo, ∠ADX = 49° and ∠ADU =90°
=> ∠XDQ = ∠ADU - ∠ADX
= 90° - 49° = 41°
In the triangle ADX, we can find out the angle of ∠DXA
= 180° - ∠DAX - ∠ADX
= 180° - 90° - 49°
= 41°
=> ∠UXD = 180° - ∠DXA (Because UA is a straight line)
=180° - 41°
= 139 °
Question Progress
Homework Progress
a) Complete the table of values for y = x2 - 4x
1
xuo1 2 3 4 5
b) Which of the three curves drawn
matches the graph of y = x2 - 4x ?
Step-by-step explanation:
X Y
-5 45
-4. 32
-3. 21
-2. 12
-1. 5
0 0
1. -3
2. -4
3. -3
4 0
5 5
To complete the table of values for y = x^2 - 4x, substitute the given values of x into the equation. To determine the matching graph, compare the shape, direction, and intercepts of the given curves to y = x^2 - 4x.
Explanation:
For part a), you need to substitute the given values of x into the equation y = x^2 - 4x to find the corresponding values of y.
So for x = 1, y = (1)^2 - 4(1) = 1 - 4 = -3.
For x = 2, y = (2)^2 - 4(2) = 4 - 8 = -4.
Similarly, you can find the values of y for the other given values of x.
For part b), look at the three curves drawn and find the one that matches the graph of y = x^2 - 4x. Compare the shape, direction, and intercepts of the graph to determine the correct curve.
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Write an exponential function in the form of y=ab* that goes through points (0,9) and (3,4608)
Answer:y=9(8)^x
Step-by-step explanation:
The exponential function that passes through the points (0,9) and (3,4608) is y = 9 * 8^x. This was determined by using the given points to find the values of a and b in the function y = ab^x.
Explanation:To write an exponential function that passes through the points (0,9) and (3,4608), we start with the general form y=abx. Using the given points, we can set up two equations based on their coordinates. The first point (0,9) leads to the equation 9 = a * b0, which simplifies to 9 = a since anything raised to the power of 0 is 1. The second point (3,4608) gives us 4608 = a * b3.
Now that we know a = 9, we can substitute it into the second equation to find the value of b: 4608 = 9 * b3. Dividing both sides by 9, we get 512 = b3, which leads to b = 8 after taking the cube root of 512. Thus, the exponential function we are looking for is y = 9 * 8x.
If 3x = -36 then x = ?
[tex]3x=-36|:3\\x=-12[/tex]
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Answer:
-12
Step-by-step explanation: To put it simple you want to get the x by itself which means you'll have to multiply both sides by 3
3x/3 = x
-36/3 = -12
x = -12
Which expression is equivalent to: -g -5(2g - 3)?
A. -11g -3
B. -11g +15
C. -10g + 15
D. -10g -3
Please help!!!!!!
Answer:
Option B, [tex]-11g + 15[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]-g - 5(2g - 3)[/tex]
[tex]-g + (-5 * 2g) + (-5 * -3)[/tex]
[tex]-g - 10g + 15[/tex]
[tex]-11g + 15[/tex]
Answer: Option B, [tex]-11g + 15[/tex]
If an alloy requires copper, nickel, and zinc in a ratio of 12:5:3, how many kilograms of each metal are needed to make 5 kg of the alloy?
Answer:
copper=3kg
nikhil=5/4 kg
zinc=3/4 kg
Step-by-step explanation:
copper:nikhil:zinc
12:5:3
let x be one value
12x+5x+3x=5
20x=5
x=5/20=1/4
12*1/4=12/4=3
5*1/4=5/4=1 1/4
3*1/4=3/4
To make 5 kg of the alloy, you would need:
3 kg of copper1.25 kg of nickel0.75 kg of zinc.What is Ratio?A ratio is a mathematical comparison of two quantities or values. It expresses the relationship or proportion between the quantities being compared. Ratios can be represented in different forms, such as fractions, decimals, or as a colon (:).
Let's calculate the amounts for each metal:
Copper:
The ratio indicates that for every 12 parts of the alloy, 1 part should be copper.
So, the amount of copper needed
= 12/20 x 5
= 3 Kg
Nickel:
For every 5 parts of the alloy, 1 part should be nickel.
So, the amount of nickel needed
= 5/20x 5
= 1.25 Kg
Zinc:
For every 3 parts of the alloy, 1 part should be zinc.
So, the amount of zinc needed
= 3/20 x 5
= 0.75 Kg
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Membership in the Volunteers Club increased by 15% from last year. If the number of members last year was m, complete a simplified expression to represent the number of members this year.
Answer: a simplified expression to represent the number of members this year is: x = 1.15 * (m)
Step-by-step explanation:
For this case what you can do is the following rule of three:
m ---> 100%
x ----> 115%
Clearing the value of x we have:
x = (115/100) * (m)
x = 1.15 * (m)
What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3? 3 15 21 39
Answer:
a=15
Step-by-step explanation:
5a-10b=45
5a-10*3=45
10*3=30
5a-30=45
+30
5a=75
75/5=15
a=15
Answer:
A=15
Step-by-step explanation:
Geometry question,. Someone please help me!!
Answer:
I think its 23o
Step-by-step explanation:
Which is the product of 4/9 and 72
Final answer:
The product of 4/9 and 72 is found by multiplying 4 by 72 and then dividing by 9, giving us the final answer of 32.
Explanation:
To find the product of 4/9 and 72, you multiply the two numbers together. Here's how you do it:
Write the multiplication expression: 4/9 × 72.
Since 72 is the same as 72/1, you can think of this as multiplying two fractions: (4/9) × (72/1).
Multiply the numerators together: 4 × 72 = 288.
Multiply the denominators together: 9 × 1 = 9.
Combine the results to find the fraction form of the answer: 288/9.
Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 9: 288 ÷ 9 = 32.
The product of 4/9 and 72 is 32.
The ratio of males to females in a Math 092 class is 2:3.
How many males are there in a class with 24 females?
Answer:
16
Step-by-step explanation:
2:3=x:24
2/3=x/24
(24)(2/3)=x
x=16
James and his 4 friends bought 2 pizzas.Each pizza was cut into 8 slices.If the boys share the pizza equally,how many pieces will each boy get to eat?
Answer:3
Step-by-step explanation:
2x8=16
There are 5 people in total
16/5=3.2
Whole number so 3 slices
Tomás ran 6 1/2 kilometers, Jackie ran 8,000 meters, Joseph ran 5.9 kilometers,
Mai Yee ran 2,790 meters. Sarita ran farther than 2 of the people in the table and slower than the others. How far could sarita have ran. Explain how you found your answer.
Answer:
5900 meters < Sarita < 6500 meters
Step-by-step explanation:
Given
Tomás = [tex]6\frac{1}{2} km[/tex]
Jackie = 8,000 m
Joseph = 5.9 km
Mai Yee = 2,790 m
Where km and m represent kilometers and meters respectively
Required
How far could Sarita have ran
First, we'll convert the distance covered by each individuals to one units (Preferably meters)
We'll need to convert distance covered by Tomás and Joseph because they're given in kilometers.
Since 1 km = 1000 m, then we have
Tomás = [tex]6\frac{1}{2} km[/tex]
Tomás = [tex]6\frac{1}{2} * 1000 m[/tex] (Convert fraction to decimal)
Tomás = [tex]6.5 * 1000 m[/tex]
Tomás = 6500 m
Joseph = 5.9 km
Joseph = 5.9 * 1000 m
Joseph = 5900 m
Now that we have the same unit all through, the next step is to list them out
Tomás = 6500 m
Jackie = 8,000 m
Joseph = 5900 m
Mai Yee = 2,790 m
Then, we rearrange in ascending order (from smallest to biggest)
Mai Yee = 2,790 m
Joseph = 5900 m
Tomás = 6500 m
Jackie = 8,000 m
The condition given in the question is that Sarita ran farther than 2 of the people in the table and slower than the other 2
This means that Sarita ran farther than the least 2 "Mai Yee and Joseph"
And at the same time Sarita covered lesser distance than the highest 2 "Tomás and Jackie"
This means that distance covered by Sarita is greater than distance covered by Joseph and less than distance covered by Tomás
Since no option is given, I'll represent the answer using inequality
Recall that
Joseph = 5900 m
Tomás = 6500 m
Sarita could have ran a distance greater than 5900 meters and less than 6500 meters
Distance covered by Sarita: 5900 < Sarita < 6500
At Maki's Swimwear, there are 24 bikini styles and 36 other types of swimsuits.
What percentage of the swimsuit styles are bikinis?
Answer:40%
total 60
24 is 40% of 60
Answer:
40
Step-by-step explanation:
24/60 x 100
40%
The mean of 5 numbers is 12. If four of the numbers are 1, 2, 3, 20, what is the last number?
So the last number is 34.
Hope this will help u...
A) -5,2
B) 2,-5
C) no solution
D)all real number
Answer:
(-5,2)
Step-by-step explanation:
The solution to the system is where the two lines cross
x = -5
y = 2
Answer:
Option A, (-5, 2)
Step-by-step explanation:
Step 1: Determine the solution
The solution is where both of the lines intersect. In this graph, they intersect at the x-value -5 and at a y-value of 2.
Answer: Option A, (-5, 2)
Two parallel lines are cut by a transversal as shown. What is the value of x? A) 45 B) 55 C) 65 D) 75
Answer:
55
Step-by-step explanation:
180-25=55
Answer: 55
Step-by-step explanation:
If 45% of the class are boys what percent is girls
Answer:
55%
Step-by-step explanation:
100% - 45% = 55%
Step-by-step explanation:
We know that
Total percentage = 100%
Percentage of boys = 45%
Percentage of girls = ( 100 - 45)%
=55%
what is the area of a triangle with a height of 5.5 in. and a base of 4 in.
Answer:
11
Step-by-step explanation:
A=[tex]\frac{bh}{2\\}[/tex]
A=[tex]\frac{5.5*4}{2}[/tex]
A=[tex]\frac{22}{2}[/tex]
A=11
Answer:
A=11in²
Step-by-step explanation:
i need help with the equation 100 − 5n
Answer:
55/3 its a fraction hope this helps
Step-by-step explanation:
Please help idk if what i chose was right
Answer: the answer is A (4)
Answer:
The correct answer is 8 inches
Step-by-step explanation:
Can someone please help me with this question please ?
Answer:
x=43
Step-by-step explanation:
Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.
x+72 = 115
then you subtract 72 from both sides
x=43
X-6
Use the expression X+4
How many excluded value(s) are there?
Answer:
There is 1 excluded value
The excluded value is -4
Step-by-step explanation:
This is correct on edge
Answer:
last one is -3 and -2
Step-by-step explanation:
on edge
What is the surface area of the rectangular prism?
128 m2
144 m2
256 m2
288 m2
what is the value of x in the figure below
Add polynomials (intro)
Add.
Your answer should be an expanded polynomial in standard form.
(7a3 - 2a - 2)+(-5a + 3) =
Stuck? Watch a video or use a hint.
V2
Plz I need the answer help
Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
Answer:
See below.
Step-by-step explanation:
Formula:
[tex] a_n = 3(n + 4) [/tex]
First term: n = 1
[tex] a_1 = 3(1 + 4) = 15 [/tex]
Second term: n = 2
[tex] a_2 = 3(2 + 4) = 18 [/tex]
Third term: n = 3
[tex] a_3 = 3(3 + 4) = 21 [/tex]
Fourth term: n = 4
[tex] a_4 = 3(4 + 4) = 24 [/tex]
Tenth term: n = 10
[tex] a_{10} = 3(10 + 4) = 42 [/tex]
The explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2.
Let's say
First term = 4
Common difference = 3
Then
The nth term of the AP will be
[tex]a_{n}[/tex] = 4 + (n - 1)3
First term: n = 1
a₁ = 4
Second term: n = 2
a₂ = 7
Third term: n = 3
a₃ = 10
Fourth term: n = 4
a₄ = 13
Tenth term: n = 10
a₁₀ = 31
Hence, the explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.
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The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the
veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight, w, and the dosage, d?
Answer: The answer is the first one d= 1/50w.
Step-by-step explanation: 3/5 divided by 30 is 1/50 as a fraction. This is the unit rate. 1/50 milligrams per pound. Hope this helps!:))
Answer:
it would be D=1/50 W
Step-by-step explanation:
What type of triangle has three equal angles?
Answer:
Equilateral Triangle Has Three ⚟ equal angles because it sides are equal then opposite angle are also equal.
Thank You ☺️ ☺️.
☆ ★ Make It Brainlist Answer....Equilateral triangle has three equal angles.
there are three types of triangle.They are scalene triangle,isosceles raingle and equilateral triangle.Equilateral triangles are also the types of triangle which have three equal sides.