Answer:
The answer would be 7
Step-by-step explanation:
The equivalent value of the logarithmic equation is x = 7/3
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
A = log ( 14/3 ) + log ( 11/5 ) - log ( 22/5 )
On simplifying , we get
From the properties of logarithm , we get
log A + log B = log AB
log A − log B = log A/B
So , A = log (14/3) + log (11/5) - log (22/5) = log [(14/3) × (11/5) / (22/5)]
A = log [(14/3) × (11/5) × (5/22)]
A = log ( 14/3 /2 )
A = log ( 7/3 )
Hence , the logarithmic equation is solved
To learn more about logarithm click :
https://brainly.com/question/12049968
#SPJ7
Find all six trigonometric ratios for the triangle shown. Show all work. In order to enter
mathematical text, click "Insert" and then "Equation".
20
Ꮎ
15
Answer:
use the required formulas please !7. If four times a number plus 3 is 11, what is the number?
A. 4
B. 2
C. 5
D. 16
Answer:
B
Step-by-step explanation:
Cause....
11-3=8
8/4=2
Answer:
B: 2
Step-by-step explanation:
To get this answer, you would do:
11-3 = 8
then divide it by four, resulting in this as your answer :
8/4 = 2
Best regards!
What is the answer to this ?
Answer:
the answer is 180
Step-by-step explanation:
Solve for x
2
х
al
2
Answer:
4/5 = x
Step-by-step explanation:
2/5 = x/2
Using cross products
2*2 = 5x
4 = 5x
Divide by 5
4/5 = 5x/5
4/5 = x
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex] \frac{2}{5} = \frac{x}{2} [/tex]
Use the cross multiplication method.
[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]
➳ Answer = [tex] \frac{4}{5} [/tex]
HELP PLS ILL GOVE BRAINLIEST
Answer:
x = 6, y = 5
Step-by-step explanation:
y = x - 15 = 6 - 1 Substitute y for 5 and x for 6Mark me as brainliest!!
Emelia pays $24 to rent a boat at the lake for up to 6 hours she constructs the inequality and number line below to represent the number of hours x she can use the boat
Answer:
She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:
0≤ T ≤ 6
This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.
From this we have that the maximum time left that she has can be written as:
x + T = 6
so if T = 3h, meaning that 3 hours passed, she has:
X + 3 = 6
x = 6 - 3 = 3
3 hours left.
Step-by-step explanation:
What is the common difference of the arithmetic sequence graphed below?
CO
tan
1 +
-11
1
2.
3
4
5
6
7
8
9
n
-27
-37
-4
-5
-6
(1.-3.75)
• (2, 4.5)
(3, -5.25)
• (4, -6)
• (5.-6.75)
• (6, -7.5)
• (7,-8.25)
(8,9)
-7
-8
-9-
-101
4.
Answer:
The common difference is: -0.75
Step-by-step explanation:
Given
See attachment
Required
The common difference
From the graph, we have:
[tex]T_n: -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9.[/tex]
The x coordinates represent the position of each term
The common difference (d) is:
[tex]d = T_n - T_{n-1}[/tex]
Let [tex]n = 2[/tex]
[tex]d = T_2 - T_{2-1}[/tex]
[tex]d = T_2 - T_1[/tex]
So, we have:
[tex]d = -4.5 - (-3.75)[/tex]
[tex]d = -4.5 +3.75[/tex]
[tex]d = -0.75[/tex]
Can someone please help.
Answer:7-10
Step-by-step explanation:
In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table
And the change from 7-10 is the highest change that is "next to each other"
ughhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Hello! answer: 260.66
Step-by-step explanation:
I dont know for sure but I'd assume you would add them all up for the total so 260.66 is the total when adding them up
the table shows the total number of apples pears and oranges in a fruit basket. Which statement represents the relationship between the total pieces of fruit and the number of pears in the basket
Answer:
A. There is four times as much total fruit as pears.
HELP ME!! 1+3+5+....+97+99
The sum of Paul and Steve's ages is 61. Steve is one year older than Paul. How old is Steve?
Answer:
62 year old is he is right
Answer:
Step-by-step explanation:
let the paul age be x
and steve age also be x+1
x+1+x=61
2x+1=61
2x=61-1
x=60/2
x=30
so steve is 31 years.
Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9
Answer:
C. x= 27
Step-by-step explanation:
PLS PLS HELP ME NO LINKS IF YOU GIVE ME RIGHT I WILL GIVE BRAINLIEST 50 POINTS!!!!!!!!!
Answer:
What's the question?
Step-by-step explanation:
1,2,2,4,8,32,? what comes next?
Answer:
64
Step-by-step explanation:
1 x 2 = 4
4 x 2 = 8
8 x 2 = 32
32 x 2 = 64
Answer:
256
Step-by-step explanation:
1, 2, 2, 4, 8, 32
this is how the pattern works;
1*2 = 2
2*2 = 4
2*4 = 8
4*8 = 32
8 * 32 = 256 by calculator
The lateral areas of two similar cylinders are 196π in^2 and 324π in^2. The volume of smaller cylinder is 1715π in^3. Find the volume of the larger cylinder.
Answer:
3,645 π in³
Step-by-step explanation:
the ratio of the radius :
r1 : r2 = √196 : √324
= 14 : 18
= 7 : 9
the ratio of the volume:
v1 : v2 = 7³ : 9³
= 343 : 729
so, the volume of the larger cylinder =
729/343 x 1715π = 3,645 π in³
Answer:
since the cylinders are similar their area and volume will be proportional
[tex]\frac{lateral\:area \:of \:smaller \:cylinder}{laternal\: area \:of \:larger\: cylinder}=\frac{volume \:of\: larger\: cylinder}{volume \:of \:larger \:cylinder}[/tex]
[tex] \frac{196π}{324π}=\frac{1715π}{V}[/tex]
V=1715π*324π/126π
V=4410πin³
the volume of the larger cylinder is 4410πin³.
What is the first step in solving the equation: 9n = 72?
Answer:
82
Step-by-step explanation:
Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.
3 inches
7
6 points
A cylinder whose height is 5 meters has a volume of 3207. Find the radius.
64 meters
12.8 meters
8 meters
1
201 meters
2
8
6 points
3
The lateral area of a cube is 36 square inches. How long is each edge?
Answer:
8
3
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume = 3207
Radius, r
Height, = 5
320π = π * 5 * r²
320 = * 5 * r²
320 = 5 * r²
r² = 320/ 5
r² = 64
r = 8 m
The lateral surface area of a cube is
LSA = 4s²
Where s = edge length
36 = 4s²
s² = 36/4
s² = 9
s =. sqrt(9)
s = 3
Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form
Answer:
f(x) = (x+5)(x-8)(x-2)
Step-by-step explanation:
If we know the zeros, the polynomial is of the form
f(x) = (x-a)(x-b)(x-c) where a,b,c are the zeros
f(x) = (x - -5)(x-8)(x-2)
f(x) = (x+5)(x-8)(x-2)
Answer:
f(x) = (x + 5)(x - 8)(x - 2)
Step-by-step explanation:
Given a polynomial with zeros x = a , x = b , then the corresponding factors are
(x - a) and (x - b)
The polynomial is a product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are
(x - (- 5)), (x - 8), (x - 2) , that is
(x + 5), (x - 8), (x - 2) and the polynomial is
f(x) = (x + 5)(x - 8)(x - 2)
A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74
Answer:
two of them are possible which one is the correct
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
30
you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total
Explain the meaning of probability. What does it mean if an event has a probability of 0? Give an example. What does it mean if an event has a probability of 1? Give an example. What does it mean if an event has a probability of 1/2? Give an example. (LONG ANSWERS ONLY)
Answer:
If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.
Step-by-step explanation:
Hope this helps!
Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.
Probability can be calculated using the following expression:
[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]
When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.
When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.
An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.
help is very much appreciated!
Answers:
VolumeSurface area==========================================
Explanation:
The volume is the amount of stuff that a container can hold on the inside, while the surface area is the amount of stuff that goes on the outside of the container (eg: the amount of paint or wallpaper). In the case of wallpapering a room, we're actually doing the inner walls rather than the outside walls; however, it's the same concept. The surface area only deals with the surface and we want to find out how much area we have to cover. That way we can know how much wallpaper to buy. For problem 1, he needs to know the volume so he can find out how much trash each can would be able to hold. The greater the volume, the larger the bin. For instance a small wastebasket would have a small volume compared to a large waist high heavy duty trash container.
The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.
Answer:
The base angles measure 78.46 degrees to the nearest hundredth.
Step-by-step explanation:
Applying the Cosine Rule:
10^2 = 10^2 + 4^2 - 2.4.10cosX where X is a base angle.
cos X = (100 - 100 - 16)/ (-80)
cos X = -16/-80
cos X = 0.2
X = 78.463 degrees
solve the triangle please
Answer:
b
Step-by-step explanation:
b
Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?
Answer:
She needs an annual interest rate of 7.54%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
She figures that this will cost a total of $25,750.
This means that [tex]A = 25750[/tex].
Sandra already has $21,400 saved up
This means that [tex]P = 21400[/tex].
Semianually compunding, 2.5 years.
This means that [tex]n = 2, t = 2.5[/tex]
What interest rate?
We have to find r. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]
[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]
[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]
[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]
[tex]1 + 0.5r = 1.0377[/tex]
[tex]0.5r = 0.0377[/tex]
[tex]r = \frac{0.0377}{0.5}[/tex]
[tex]r = 0.0754[/tex]
0.0754*100% = 7.54%
She needs an annual interest rate of 7.54%.
write an EXPRESSION for the following!
4 less than x
17 more than x
the product of 18 and x
the quotient of x and 17
70 less than x
Answer:
70
Step-by-step explanation:
8+its 70 less than x hope it will be helpful
Okay can somebody please me fast with this problem
Answer:
3
Step-by-step explanation:
I don't know plz correct me If I'm wrong
Also brainliest?
Step-by-step explanation:
skakisjsjsjjajabbajaj
15 PTS PLEASE HELP QUICK THE QUESTION IS BELOW
What is the measure of ∠E?
Answer:
80 degrees
Step-by-step explanation:
first we need to find the measure of F, we know a straight line equals 180 so we subtract 120 from 180
180-120=60
then add that to angle D
60+40=100
and all triangle angles add up to 180 so subtract 100 from 180
180-100=80
80 is your answer