Formula = 4/3 x pi x r^3
4/3 x 3.14 x 7^3 = 1436.03
answer: a. 1436.03 cubic units
Answer:
answer: a. 1436.03 cubic units
Step-by-step explanation:
I took a test
If f(x) = (x³ + 25), find the inverse of f.
Answer:
y = ∛x - 25
Step-by-step explanation:
To find the inverse function, swap x and y , and solve the resulting equation for x.
If the initial function is not one-to-one, than there will be more than one inverse.
So, swap the variables: y = x³ + 25 becomes x = y³ + 25
Now solve the equation, x = y³ + 25 for y.
y = ∛x - 25
if a meatllic cylinder having volume 2464cm3 melted into a sphere then find the radius of that sphere
Answer:
Given: Volume of cone = 2464 cm3 Height of cone = 12 cm
Step-by-step explanation:
Can someone help me please? Will award 80 pts.
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
[tex](68)(1/17) = k\\k = 4[/tex]
Therefore when y= 16,
[tex]16x = 4\\x= \frac{1}{4}[/tex]
When y varies inversely with x that means mathematically
[tex]y = \frac{k}{x}[/tex]
k ⇒ is the proportional constant that we need to findWe know for one, that when y = 68 and x = 1/17, that means
[tex]68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4[/tex]
Therefore we get the equation of the relationship between y and x as
⇒ [tex]y = \frac{4}{x}[/tex]
So when y = 16, then
[tex]16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}[/tex]
Thus the value of x when y = 16 is 1/4 or the third choice.
Hope that helps!
Help pleaseeeeeeee :)))))) and thank you!
Answer:
103
Step-by-step explanation:
103.3's 3 is closer to 0 than 5
What is the value of the rational expression when x = 2?
Answer:
4
Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.
number of solutions of quadratic equations
Answer:
Discriminant = 120
Number of x intercepts = 2
=========================================================
Explanation:
The equation is of the form ax^2+bx+c with:
a = -7
b = 8
c = 2
The discriminant is
d = b^2 - 4ac
d = 8^2 - 4(-7)(2)
d = 64 + 56
d = 120
The discriminant is positive, meaning there are 2 different x intercepts.
If d = 0, then we'd have only one x intercept.
If d < 0, then there wouldn't be any x intercepts.
Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.
Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.
Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base. That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base. Therefore, C is your answer.
Let me know if this is right! :)
Find two consecutive whole numbers that
124 lies between.
Answer: 123 and 125.
Step-by-step explanation:
PLEASE HELP W PRECALC QUESTION
Answer: [tex]2tan(theta)[/tex]
Step-by-step explanation:
I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:
[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]
Factor out a 4 to get:
[tex]\sqrt{4(sec^2(theta)-1)}[/tex]
Take the square root of 4 to get a 2 on the outside of the radical:
[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]
Use the trig identity below to convert the secant to tangent:
[tex]tan^2(theta)+1=sec^2(theta)[/tex]
[tex]tan^2(theta)=sec^2(theta)-1[/tex]
Therefore our expression becomes:
[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]
The square root of tangent is simply tangent:
[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]
I know the answer but don't know how to do it.... pls explain the answer. thank you
Answer:
white paint
Step-by-step explanation:
i took this test last week :)
44 is the sum of 14 and Rick's savings.
Pls help me with this question. I don't know what I did wrong
Answer:
The first part is perfect. Fix the second inequality.
Step-by-step explanation:
The second inequality is:
4x - y > -3
Subtract 4x.
-y > -4x - 3
Multiply by -1 remember when multiplying (or dividing) by a negative number you must REVERSE the inequality symbol.
y < 4x + 3
Your line looks great, but make it dashed. And then the shading will be below the dashed line. This creates the solution set in the triangular area in the middle bottom of the graph. The point they are asking for is not the point of intersection, it is any point in the bottom triangle, which is the doubly shaded solution set area. Use (0, -5) for example.
Two similar geometric solids have a scale factor of 3:4. If the volume of the smaller solid is 54 cubic feet, what is the volume of the larger solid? Round to the nearest tenth as needed.
Thank you for your help!
Answer:
128 ft³
Step-by-step explanation:
given the scale factor of 2 similar solids is a : b , then
ratio of volumes = a³ : b³
here a : b = 3 : 4
then 3³ : b³ = 3³ : 4³ = 27 : 64
let x be volume of larger solid then by proportion
[tex]\frac{27}{54}[/tex] = [tex]\frac{64}{x}[/tex] ( cross- multiply )
27x = 3456 ( divide both sides by 27 )
x = 128
the volume of the larger solid is 128 ft³
which angles are congruent in the isosceles triangle
how this is hard and im hating this right now :/
Answer:
[tex]\boxed{\dfrac{y}{x}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]
-------------------------------------------
[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]
Simplifying the expression using "a ÷ b = a x 1/b"
[tex]\rightarrow \dfrac{1}{x} \times y[/tex]
[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]
Angle Terminology with Equations
(Please Full Explanation)
Delta Math:
Supplementary angles are angles that sum up to 180 degrees
∠A and ∠B are supplementary angles
∠A + ∠B = 180°2(x) - 24 + 5(x) - 27° = 180°7(x) -51° = 180°7(x) = 180° + 51°7(x) = 231°x = 33°Find ∠B
5(x) - 27°5(33) - 27°165° - 27138°Therefore ∠B is 138 degrees
Answer:
∠B = 138
Step-by-step explanation:
Suplementary means = 180 soooo
180=(2x-24)+(5x-27)
180=7x-51
231=7x
x=33
B=5x-27
5(33)-27= 138
Please help i need answers now!, I will give full points to whoever helps me and I’ll give Brainlyest too
Answer:
182
Step-by-step explanation:
We need to find 3/4 of 242. To do this, multiply 3/4 by 242:
[tex]\sf \implies \dfrac34 \times 242=\dfrac34 \times \dfrac{242}{1}=\dfrac{3 \times 242}{4 \times 1}=\dfrac{726}{4}=181.5[/tex]
181.5 rounded is 182.
Therefore, approximately 182 students went on the field trip.
Max has a square piece of cloth. He cuts it in half from one corner to the opposite corner. How many sides does each of the cut pieces have?
Answer:
Step-by-step explanation:
You have a cloth:
____________
| |
| |
|___________|
and you cut it in half.
There are three sides
Answer:
Step-by-step explanation:
The cut pieces will each have three sides: two that are equal and one that is the hypotenuse.
If the original square had sides of length s, then the cut pieces would each have two of that length: s and s; the third side would have length h = √(s² + s²), or h = s√2.
Helena is an engineer that designs packaging for new products. She designed a box in the shape of a rectangular prism with dimensions of 10 inches by 7 inches by 4 inches. What is the surface area of the box? 138 square inches 276 square inches 280 square inches 441 square inches
Answer
276 square inches.
Step-by-step explanation:
Area of rectangular prism = 2(lb + bh + lh)
2(10*7 + 7*4 + 10*4)
2( 70 + 28 + 40)
2 * 138
276 square inches
please give me Brainliest
Answer:
answer is b
Step-by-step explanation:
find the area. the figures are not drawn to scale.
Answer:
1036 in.²
hope that will help you
Helppppppp pls :))))))))
Answer:
g(x) = x^2 - 7
Step-by-step explanation:
Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
cosZ = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]
identify the postulate (SAS, ASA, SSS) / theorem (AAS) that proves the two triangles are congruent.
Answer:
1) SAS
2) ASA
3) SSS
4) AAS
Which one is equal to 6 x 10^5
A (3 x 10^8) (2 x 10^-2) or B 600,000,000
Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:
A (3 x 10^8) (2 x 10^-3)
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:
[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]
More can be learned about scientific notation at https://brainly.com/question/16394306
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The first three terms of a sequence are given. Round to the nearest
а
thousandth (if necessary).
25, 150, 900, ...
Find the 9th term.
Answer:
I'm sorry I don't know
Step-by-step explanation:
hopefully someone solves this!
The 9th term of the geometric sequence will be 41,990,400.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The sequence is given below.
25, 150, 900, .....
The first term is 25 and the common ratio is calculated as,
r = 150 / 25
r = 6
Then the 9th term of the sequence is given as,
a₉ = 25 · (6)⁹⁻¹
a₉ = 25 · (6)⁸
a₉ = 25 · 1,679,616
a₉ = 41,990,400
The 9th term of the geometric sequence will be 41,990,400.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
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NEED HELP ASAP!! WILL MARK BRAINLIEST! John gets a $1000 bonus at work and decides to invest it. He puts his money into an account that earns an annual interest rate of 6.5% compounded once a year. He also decides to add $1200 to his account each year.
How many years will it take for John's account be worth $10,000?
Answer:
I think 4 years
(not sure)
Answer: 7.1 years
Step-by-step explanation:
Lets write a simple interest expression for this:
SI = P(1 + rt)
10,000 = 1,000(1 + 0.065[t])
This model is not quite complete yet, since he is adding 1200 every year. To fix this, we simply add a constant term, 1200t, where t is the number of years that have passed.
10,000 = 1,000(1 + 0.065[t]) + 1200t
Now we just need to evaluate this:
10,000 = 1,000 + 65t + 1200t
9,000 = 1265t
.: t ≅ 7.115
It will take about 7.1 years
Please help with my homework. I will give a brainlist out. Only solve 27 please.
Answer: 5 ft
Step-by-step explanation: A = bh h = A/b 85/17 = 5
put the decimal point in the correct places to get the difference 323 - 362 = 28.68
The correct location is between the two and three for the first digit and the three and six for the second number.
Help please my teacher is yelling at me atp , pleaseee help
Answer: $7 change remains
Step-by-step explanation: When doing rounding in word problems, in most situations you will have to round up regardless of numbers. Rounding to the nickel then means that the cents on the cash amounts must be .00 or .05 Following this pattern:
0.87 is rounded to 0.90
2.66 is rounded to 2.70
3.90 is rounded to 3.90
1.63 is rounded to 1.65
2.53 is rounded to 2.55
1.30 is rounded to 1.30
Then just add together the rounded amounts, which is $13
Simply subtract with the formula, 20-13=7
10. A table tennis ball has a diameter of 40 mm. What is the surface area of the tabletennis ball?
Answer:
D
Step-by-step explanation:
The equation is 4πr²
The radius is half the diameter so divide the diameter by 2
40÷2=20
4π(20)²=5026.55mm
Rounds to 5027