6. Find the value of x to the nearest tenth. Volume of the
cylinder is 602.88 cm3.
Volume: 602.88 cm3
Answers
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}[/tex]
Related Questions
let p be a polynomial function where p(x)=x4- dx3 + 8x2 - 10x + 4 if (x-2) is a factor of the polynomial, what is the value of d?
Answers
Answer:
d = 4
Step-by-step explanation:
If (x -2) is a factor of polynomial p(x), then the remainder will be zero.
⇒ p(2) = 0
[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]
16 - 8d + 8*4 - 20 + 4 = 0
16 - 8d + 32 - 20 + 4 = 0
-8d + 32 = 0
-8d = - 32
d = -32/(-8)
[tex]\boxed{d = 4}[/tex]
solve 6x=2y+8, 4x+5y+10=47 by substitution method
Answers
the value of x= 3
and the value of y=5
Answer:
(x , y) = (3 , 5)Step-by-step explanation:
[tex]\begin{cases}6x=2y+8&\\ 4x+5y+10=47&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 12x+15y+30=141&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ (4y+16)+15y=111&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y+16=111&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y=95&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ y=\frac{95}{19}=5 &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}12x=20+16=36&\\ y=5 &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}x=3&\\ y=5 &\end{cases}[/tex]
Jacinta compares the volume of two boxes. Both boxes have a width of
2. 5
2. 5 inches, and a height of
10
10 inches. The larger box has a length of
8
8 inches. The smaller box has a length that is
75
%
75% of the length of the larger box.
Answers
Answer:200 in ^3
Step-by-step explanation:
See the picture for my question.
Answers
using law of indices
Answers
Answer:
1
Step-by-step explanation:
There are a couple of identities that come into play here:
a³ -b³ = (a -b)(a² +ab +b²)
(x^a)/(x^b) = x^(a-b)
(x^a)^b = x^(ab)
(x^a)(x^b) = x^(a+b)
_____
These mean we can simplify the expression as follows.
[tex]\left(\dfrac{x^{a}}{x^{b}}\right)^{a^2+ab+b^2}\times\left(\dfrac{x^{b}}{x^{c}}\right)^{b^2+bc+c^2}\times\left(\dfrac{x^{c}}{x^{a}}\right)^{c^2+ca+a^2}\\\\=x^{(a-b)(a^2+ab+b^2)}\times x^{(b-c)(b^2+bc+c^2)}\times x^{(c-a)(c^2+ca+a^2)}\\\\=x^{a^3-b^3}\times x^{b^3-c^3}\times x^{c^3-a^3}=x^{(a^3+b^3+c^3)-(a^3+b^3+c^3)}\\\\=x^0=\boxed{1}[/tex]
The expression has a value of 1.
__
Additional comment
For certain values of x and the exponents, the individual factors may exceed the ability of a calculator to express the value. That is, an attempt at numerical evaluation of this may produce a result different from 1. In any event, the expression is undefined for x=0.
Drink A is 20% water by weight, and drink B is 35% water by weight. How many fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%
Answers
Answer:
40 fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%
Step-by-step explanation:
35% of 80 oz of drink B = 0.35(80) = 28 oz
0.20(A) + 0.35(80) = 0.30(A + 80)
0.20A + 28 = 0.30A + 24
A = 40Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) right-bracket cubed 2 cubed = left-bracket log subscript 3 baseline (x 5) right-bracket squared 3 squared = x 5 2 cubed = x 5
Answers
The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get [tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
The equation given is:
[tex]\log_3(x+5) = 2[/tex]
By using the definition of log, which says [tex]a^b = c \leftrightarrow \log_a(c) = b[/tex], we get:
[tex](x+5) = 2^3[/tex] or [tex]2^3 = x+5[/tex]
Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]
(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).
Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]
Learn more about logarithm here:
https://brainly.com/question/20835449
If 2/5 of the judges were wearing their powdered wigs, what fraction of the judges were not wearing their powdered wigs?
Answers
Answer: [tex]\frac{3}{5}[/tex] of the judges were not wearing their powdered wigs.
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] out of the whole [tex]\frac{5}{5}[/tex] were wearing a wig. So subtract [tex]\frac{2}{5}[/tex] from [tex]\frac{5}{5}[/tex] to see the fraction that wasn't wearing a wig.
[tex]\frac{5}{5} -\frac{2}{5} =\frac{3}{5}[/tex]
What is the slope of the line 3 = 4 + 5?
Answers
Answer:
4/3 = slope
Step-by-step explanation:
!!20 points and Brainliest!!! PLEASE ONLY ANSWER IT IF YOU KNOW THE ANSWER PLEASE!!!
What should be done to x^2 - 12x to create a perfect square?
A) add 36
B)subtract 6
C)add 6
D)subtract 36
Answers
Answer:
add 36
Step-by-step explanation:
give me brainliest
Answer:
add 36
Step-by-step explanation:
company
assumes each car in their fleet depreciates by
7% per year. If the initial value of a car is
$37,300.00, in how many years will the value
depreciate to $25,949.18?
Answers
Answer: 5 years
Step-by-step explanation:
A= P(1-r)^t
A= Depreciation value
P = Initial amount
r= rate = 7/100= 0.07
t= time
t= (Ln(A/P))/Ln(1-r)
= (Ln(25949.18/37300))/Ln(1-0.07)
t= 4.999 approximately 5 years
Pls help answer 16,15,17
Answers
Answer:
1#
3
2#
6
3#
9
4#
12
5#
15
Step-by-step explanation:
-6719+2376
Show how you worked it out
Answers
Answer:
-4343
Step-by-step explanation:
-6719
+2376
-----------
-4343
PLS HELP 45 POINTS whats the answer?
Answers
Answer:
Step-by-step explanation:
d or b
Find the product: seven multiplied by ten fourteenths Leave your answer as an improper fraction.
seventy fourteenths
seventeen fourteenths
seventeen twenty ones
seventy twenty ones
Answers
Answer:
seventy fourteenths
Step-by-step explanation:
seven = 7
ten fourteenth = 10 fourteenth
one-fourteenth = 1/14, so ten fourteenths = 10/14
7 * 10/14
when multiplying two numbers, multiply the numerators and denominators together separately to get your new numerator and denominator
7 = 7/1 as anything divided by 1 equals itself
7 * 10/14 = 7/1 * 10/14 = (7*10) / (1*14) = 70/14 = seventy fourteenths
Which number is the best estimate of 2.3 x 3.6?
O A. 6
OB. 8
O c. 9
OD. 12
Answers
Answer:
B. 8
Step-by-step explanation:
Explanation: 2.3x3.6 is 8.28, and we round down to 8 because 8.28 is closer to 8 than 9.
14. Which of these functions is linear?
A. xy = 12
B. y = x5 - X4
C. 3x + 5y = 9
D. y - 2 = x(x + 1)
Answers
Answer:
3x + 5y = 9
Explanation:
A linear function is represented by the equation: y = mx + b
In option C:
3x + 5y = 9 is a linear equation as it has slope and y-intercept
Linear means degree is 1
#A
xy=12Not linear
#B
y=x⁵-x⁴Degree is 5 not linear
#C
3x+5y=9Linear
#D
y-2=x²+xDegree is 2 hence quadratic
5) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answers
Answer:
A: y= 3x-4
B: y= -2/4x+3
Step-by-step explanation:
slope intercept form: y=mx+b
m = slope
slope = rise/run
b = y-intercept
Answer:
A: y = 3x - 4
B: y = -1/2x +3
Step-by-step explanation:
First, lets find the slope of line B. We need to find two coordinates on the line that coincide with points on the grid. We see that (2, 2) and (4, 1) are two points that match the criteria, so we can use both points. You can use any two points, I just randomly chose these two. Slope is nothing but the Y coordinate of the first point subtracted from the Y coordinate of the second point. We do 2 - 4 and get -2. Next, we do the same thing but with the X coordinates to get 2 - 1, which is 1. We do 1 over -2 to get negative 1/2 for our slope. The last variable in the equation is just where the line hits the Y axis, which is 3. So, the final equation is y = -1/2x + 3. Rinse and repeat for the next question.
4c-5=2c-9
I can’t solve this
Answers
Answer:
-2
Step-by-step explanation:
4c-5=2c-9
2c= -4
c= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{SOLVING FOR THE C-VALUE}\downarrow[/tex]
[tex]\mathsf{4c - 5 = 2c - 9}[/tex]
[tex]\large\text{SUBTRACT 2c to BOTH SIDES}[/tex]
[tex]\mathsf{4c - 5 - \bold{2c} = 2c - 9 - \bf 2c}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{ 2c - 5= -9}[/tex]
[tex]\large\text{ADD 5 to BOTH SIDES}[/tex]
[tex]\mathsf{ 2c - 5 + \bold{5} = -9 + \bf 5}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{2c = -4}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2c}{\bf 2} = \dfrac{-4}{\bf 2}}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{c = -2}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{c = -2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Quantitative or qualitative
help pls I need this ASAP
Answers
Answer:
1. Quantitative data
2. Quantitative data
3. Qualitative data
4. Qualitative data
5. Quantitative data
6. Qualitative data
7. Quantitative data
8. Qualitative data
9. Quantitative data
10. Quantitative data
Step-by-step explanation:
Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).
Answer:
quantitative or qualitative
Answer number 9 please thanks
Answers
Given X(4, -7). what are
the coordinates of X" 1EX - R,ax(R, axi, (X)),
A
(4,7)
B
(0,9)
C
(-4, -7)
D
(-4, 7)
Answers
answeeerrrr ill give brainiest
Answers
Tell me if this helps
Please mark me as brainliest
The measure of angles are opposite angles where ∠2 = 37°'
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the two intersecting lines be m and n
where the measure of ∠4 = 37°
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
So , the measure of ∠2 = ∠4
On simplifying , we get
The measure of angle ∠2 = 37°
Hence , the angle is ∠2 = 37°
To learn more about angles formed by intersecting lines click :
https://brainly.com/question/16315358
#SPJ7
Bubba's Boot is a favorite stop of visitors to Nashville's downtown shopping
area. Last year 2.42 x 105 people visited Bubba's. This year it has become an even
more popular venue with 2.53 x 106 visitors. About how many more visitors have
been to Bubba's this year than last year?
Answers
Scientific Notation: 2.29 × [tex]10^6[/tex]
Standard Form: 2288000
I hope this helps you
:)
Answer:
About 12 more visitors ( 12.08 to be exact)
I urgently need help!! Please!!
Answers
Answer: f= [tex]x^2+4x+8+(7/3x-4)[/tex]
Step-by-step explanation:
Careful with simplifying every step.
Is the function F(x)=5x2
Answers
Bob is solving the following linear equation. 17 - 4x - 4= - 10x + 13 + 6x His final two steps are: : 13- 4x = - 4x + 13 = 13= 13 Select the statement that correctly interprets Bob's solution. A The solution is x = 0. ® The solution is the ordered pair (13, 13). © There is no solution since 13 = 13 is a true statement. © There are infinitely many solutions since 13 = 13 is a true statement.
Answers
The equation 17 - 4x - 4= - 10x + 13 + 6x is a linear equation
The true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.
How to determine the true statement?The equation and the steps are given as:
17 - 4x - 4= - 10x + 13 + 6x
13 - 4x = -4x + 13
13 = 13
The final step where both sides of the equation are represented by the constant value 13 means that:
The equation has infinitely many solutions
Hence, the true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.
Read more about linear equations at:
https://brainly.com/question/14323743
what will you divide by 1/2 to get 2?
Answers
Answer:
0.25
Step-by-step explanation:
1/2 divided by 0.25 gives you 2. If you want approval do it on a calculator.
Hey there!
EQUATION: 1/2 ÷ x = 2
REWRITE: 1/2x = 2
MUTLTPLY 2x to BOTH SIDES
1/2x * 2x = 2 * 2x
SIMPLIFY IT!
1 = 4x
4x = 1
DIVIDE 4 to BOTH SIDES
4x/4 = 1/4
SIMPLIFY IT!
x = 1/4
Therefore, your answer is: 1/4
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
dont mind the answer that I picked on accident and pls dont send no PDF or a image to download
Answers
Answer:
I guess that X measures 50° because X and 50 are vertically opposite angles...
Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?
alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem
Answers
Answer: converse alternate exterior angles theorem
Step-by-step explanation: