Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.
If sin 0= 4/5 in quadrant II, what is cose? A. - 3/5 B. 3/5 C. - 3/4 D. 3/4
Answer:
A
Step-by-step explanation:
Given
sinθ = [tex]\frac{4}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
This is a 3- 4- 5 triangle
with opposite = 4, adjacent = 3 and hypotenuse = 5
Since θ is in second quadrant then cosθ < 0
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{3}{5}[/tex] → A
Find the perimeter of the polygon with the vertices A (-1,5), B (-1,-4), C (-6,-4), and D (-6,5)
68
Schools almost over, good luck!!
Multiply
What value is in Row 2 Column 2 of the
SOLUTION Matrix?
2
Answer:
Step-by-step explanation:
if u multiply the order of two matrix then the row is 2 and column is also 2 of a new matrix.
PLEASE HELP I WILL GIVE BRAINLIEST:)
Answer:
not building towns near the edge of a tectonic plate
Step-by-step explanation:
not building towns near the edge of a tectonic plate
Lily is in charge of bringing bottled water to a party that has 37 guests.
Bottled water is sold in packs of 36 and each pack costs $42.12.
Part A: enter the total number of packs of water Lily will need to bring to the party if each guest is to have 3 bottles of
water.
Part B: enter the total cost, in dollars, Lily will spend on bottled water for the party.
Answer:
A) 4 packs
B) $168.48
Step-by-step explanation:
A) Lily will need to bring 4 packs of bottled water because 3 bottles per guest is 37 times 3, which gives us 111 water bottles. If each pack has 36, divide 111 water bottles by 36 giving us 3.08333333333 packs. Since you cannot buy 3.08333333333 packs of bottled water, Lily will need to round up to the nearest whole number to insure that each guest has exactly 3 water bottles. When you round up it will be 4 packs of bottled water.
B) Because Lily is bringing 4 packs of bottled water to the party and each pack costs $42.12, multiply 42.12 by 4 to get $168.48 as the total cost of her purchase.
Please rate your understanding of the vocabulary from today (planes, points, lines, collinear, coplanar, line segments, rays, and opposite rays.) I understand the definitions of all terms above and I could explain these topics to others. 4 I am not sure if I understand every word completely, but I have enough confidence to try and figure it out. 3 Some terms make sense, but I need some help understanding others. 2 This is new to me and I cannot define these terms now. 1
Answer:
See below
Step-by-step explanation:
A plane is a flat, two-dimensional surface that extends infinitely.
A point is a precise location on a plane.
A line is a one-dimensional figure that has only its length that extends infinitely.
Points are collinear if they all fall on the same straight line.
Points or lines are coplanar if they all fall on the same plane.
Line segments are a line with two endpoints on each end of the segment, which have a definite length.
Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.
Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.
a sum is RS x. If 2 upon 3 of the sum is 20 find the sum
Answer:
Step-by-step explanation:
2/3*x=20
2x=20*3
x=60/2
x=30
The set of all values that a function will return as outputs is called the _________ of the function.
Answer:
Range.
Step-by-step explanation:
In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.
Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.
For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.
Furthermore, the set of all values that a function will return as outputs is called the range of the function.
This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.
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I NEED ANSWERS ASAP, TY:)
The price of petrol increased from Rs 48 to rs 53.76.
calculate the percentage increase.
with calculation and the answer should be 12%
Answer:
12%
Step-by-step explanation:
As per the provided information in the given question, we have :
Original price of petrol = Rs. 48New price of petrol = Rs. 53.76We are asked to calculate,
Percentage increaseAs we know that,
[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{Price \; increase}{Original \; price} \times 100 \Bigg ) \; \%}} \\ [/tex]
→ Price increase = New price - Original price
→ Price increase = Rs. ( 53.76 - 48 )
→ Price increase = Rs. 5.76
Substituting values,
[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{5.76}{48} \times 100 \Bigg ) \; \%}} \\ [/tex]
[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{576}{4800} \times 100 \Bigg ) \; \%}} \\ [/tex]
[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{57600}{4800} \Bigg ) \; \%}} \\ [/tex]
[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{576}{48} \Bigg ) \; \%}} \\ [/tex]
[tex] \\ \longrightarrow \bf{\quad\underline { \% \; increase = 12\; \%}} \\ [/tex]
Therefore, percentage increase is 12 %.
which of the following points are on the line given by the equation y equals 5X
Answer:
B & E
Step-by-step explanation:
___________________
What is the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation
____ x 10^—
ANSWER ASAP
Answer:
3 x 10^3
Step-by-step explanation:
1.485 / 4.95 = 0.3
10^6 : 10^2 = 10^(6-2) = 10^4
0.3 x 10^4
3 x 10^3
The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3
How does scientific notations work?The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.
So we have;
1.485 / 4.95 = 0.3
Therefore,
10^6 : 10^2
= 10^(6-2)
= 10^4
Hence, the scientific notation written as;
0.3 x 10^4
= 3 x 10^3
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What is the y-intercept of the line shown?
69
5-
4
3-
2-
1-
0
-4
-3
- 2
0
1
2
3
4
5
3
4
help me please this due in 20 mins dont add a link you'll get reported
Answer:3
Step-by-step explanation:
3-6*12
87the answer is 4i need the answer today thank you !
Answer:21
Step-by-step explanation:
Answer:
Im pretty sure its 21
Step-by-step explanation:
21
Im sorry if its wrong
I’ll give you Brainiest answer
Answer:
J or the last one
Step-by-step explanation:
Other two wouldn't work since -37 is the least and 37% is 0.37 which is less than 0.72
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
What is the fifth term in the geometric sequence?
1, 2, 4, 8, ...
12
16
32
64
Answer:
16.
Step-by-step explanation:
nth term = a1r^(n-1)
Here a1 = 1, n = 5 and r = 2/1 = 2.
5th term = 1 * (2)^(5-1)
= 1*2^4
= 16.
rationalize the denominator and simplify √a + 2√y/√a-2√y
Answer:
[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]
Step-by-step explanation:
Simplify each term.
The rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).
To rationalize the denominator and simplify the expression (√a + 2√y) / (√a - 2√y), we can use a technique called rationalizing the denominator.
First, we multiply both the numerator and denominator by the conjugate of the denominator, which is (√a + 2√y). This is done to eliminate the square root in the denominator.
(√a + 2√y) / (√a - 2√y) * (√a + 2√y) / (√a + 2√y)
Expanding the numerator and denominator:
(√a * √a) + (√a * 2√y) + (2√y * √a) + (2√y * 2√y) / ((√a * √a) - (√a * 2√y) + (2√y * √a) - (2√y * 2√y))
Simplifying:
a + 2√ay + 2√ay + 4y / (a - 2√ay + 2√ay - 4y)
Combining like terms:
a + 4√ay + 4y / (a - 4y)
Therefore, the rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).
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A N S W E R
Q U I C K L Y
P L E A S E
Answer: D!!
Step-by-step explanation:
You need a common denominator (bottom number) to subtract!
Answer:
d
Step-by-step explanation:
I think it is D. Hopfully.
A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?
Answer:
-2
Step-by-step explanation:
Well since this line is parallel to y=3x-5 they must have the same slope
We are just solving for the y-intercept
We have a point (2,4) lets plug it into
y=3x+ b
4 = 3(2) +b
4= 6 +b
-2 = b
The value of b is -2
Answer:
B-value = -2
Step-by-step explanation:
In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.
Hope this helps!
Here is the diagram:
What number is a prime factorization of 60
Answer:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.
The radius of a circle is 7 yards. Determine the area of the circle.
Answer:
153.9380400258yds is the answer
Please help me, I’ve literally been trying for so long.
Let the cosecutive numbers be like this :
2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5
Odd , Even , Odd , Even , Odd
______________________________
So we have :
(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39
6n + 9 = 4n + 6 + 39
6n + 9 = 4n + 45
Subtract both sides 9
6n + 9 - 9 = 4n + 45 - 9
6n + 0 = 4n + 36
6n = 4n + 36
Subtract both sides 4n
6n - 4n = 4n - 4n + 36
2n = 0 + 36
2n = 36
Divide both sides by 2
2n ÷ 2 = 36 ÷ 2
n = 18
______________________________
So the numbers are :
2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5
36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5
37 , 38 , 39 , 40 , 41
As u can see the Odd numbers are :
37 , 39 , 41
And we're done ...
ANSWER ASAP PLEASE!!! TY:)
Answer:
Volume of triangular prism is given by formula
Volume of triangular prism = (Area of the base) x 12 (height of the prism)
now plug the given values
216= (area of the base) x 12
216/12 = area of the base
18= area of the base
so, the answer is 18 square cm
the only solution to x² + bx + c = 0
is x = 5
work out the values of b and c
Answers:
b = -10
c = 25
=================================================
Explanation:
If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.
Expand that out to get
(x-5)^2
x^2 - 5x - 5x + 25
x^2 - 10x + 25
Then compare this to x^2 + bx + c to find
b = -10
c = 25
If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.
–6 + (–12)
Evaluate the expression
Answer:
-18
Step-by-step explanation:
You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.
-6+(-12)
-6-12= -18
Answer:-18
Step-by-step explanation:
How much do I spend if I use $20 off coupon on my purchase of $97.43
S.NO.1
देहाल
खरिद मुल्य)- रु. 60,000
नाफा (P%)=5
विक्रय मुल्य =?
Answer:
विक्रय मुल्य=रु.63000
Step-by-step explanation:
खरिद मुल्य)- रु. 60,000 (cp)
नाफा (P%)=5 (p%)
विक्रय मुल्य =? (sp)
now,
sp=(100+p%)/100×cp
(100+5)/100×6000063000so, sp is Rs 63000.
hope it helps.
stay safe healthy and happy.