Answers
Answer:
Step-by-step explanation:
Table I
Given function is,
f(x) = [tex]b^x[/tex]
From the table attached,
For x = 0.827, value of function f(0.827) = 5,
f(0.827) = [tex]b^{0.827}[/tex]
Therefore, [tex]b^{0.827}=5[/tex]
[tex]\text{log}(b^{0.827})=\text{log}(5)[/tex]
0.827[log(b)] = log(5)
log(b) = 0.8452
b = [tex]10^{0.8452}[/tex]
b = 7
Therefore, function 'f' will be,
f(x) = [tex]7^x[/tex]
For f(x) = 9,
9 = [tex]7^x[/tex]
log(9) = log([tex]7^x[/tex])
log(9) = x[log(7)]
x = 1.129
Table II
Given function is g(x) = [tex]\text{log}_b(x)[/tex]
From the given table,
For x = 7, g(x) = 1
1 = [tex]\text{log}_b(7)[/tex]
[tex]b^1=7[/tex]
b = 7
Therefore, the function 'g' will be,
g(x) = [tex]\text{log}_7(x)[/tex]
For g(x) = 1.318
1.318 = [tex]\text{log}_7(x)[/tex]
[tex]x=7^{1.318}[/tex]
[tex]x=12.9968[/tex]
[tex]x=13.997[/tex]
Related Questions
A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?
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What is the slope of the line that passes through the points {-3,3} and {-3,13}?
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Answer:
undefined
Step-by-step explanation:
Solve for t. 3t - 18 = 4(-3-3/4t). t=
Answers
Answer:T=1
Step-by-step explanation:
Answer:
t = 1
Step-by-step explanation:
Need help ASAP! Solve for x. Problem in picture;)
Answers
What exactly is we supposed to do?
I'll answer it after u answer my question
Answer:
x=40
Step-by-step explanation:
46+57=103
180-103=77
180-162=18
180-58=122
122+18=140
140+x=180
x=40
1.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F
Answers
2) 2.4 meters
3) 4800 seconds
4) 100000grams
5)219.2 Fahrenheit degrees
Pythagorean Thereom plz helppppppp
Answers
Answer:
5/4
Step-by-step explanation:
tan A = opp/adj
tan A = 5/4
Answer:
[tex]tan(A)=\frac{5}{4}[/tex]
Step-by-step explanation:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(A)=\frac{5}{4}[/tex]
10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left
Answers
Answer:
4/8 (2/4)
Step-by-step explanation:
1/4 is 2/8
He ate 2/8 pizza for dinner
Then he ate 1/4 (2/8) the next day
So he has 4/8 (2/4) pizza left
How do i find the answer
Answers
Answer:
count them: 12
Step-by-step explanation:
All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.
The total number of edges that a cuboid has is 12.
I have no clue lol
I accidently put supplementary so ignore that.
Answers
Answer:
5. Vertical
6. 133°
Step-by-step explanation:
These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.
Simplify this expression
9xy ^4 x 3x^3y
Answers
Answer: 27x by the power of 4 y by the power of5
Step-by-step explanation:
Answer:
Refers to attachment
Step-by-step explanation:
Nolan began a savings account three years ago. He invested $100 at a 2% interest rate according to the equation Vn = 100(1.02)x, where Vn is the value of his account after x years. Anias started an account today. She invested $100 at a 2% interest rate according to the equation Va = 100(1.02)x–3, where Va is the value of her account. Let’s say Anias started saving at the same time Nolan did, three years ago. Approximately how much money would she have had to invest to have the same amount of money she has now?
$5.77
$90.24
$94.23
$106.12
Answers
Answer: 94.23
Step-by-step explanation:
I need the answers and explanation to a b c and d
Answers
Answer:
B I THINK
Step-by-step explanation:
What is the range of this graph?
Answers
Answer:
I think the answer is (-3,1)
D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)
Answers
Answer:
d
Step-by-step explanation:
please please help for brainlist !!!!!!!!
Answers
f(x) is linear.
g(x) is exponential.
F(x) is linear! Remember, linear functions have a set amount of rate of change, in this case it’s 2! G(x) is a exponential function because instead of going down by a certain amount, it’s simply going down by half.
Hope this helps!
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answers
Answer:
D: (-6,0)
Step-by-step explanation:
Set f(x) equal to 0 and solve for the values of x:
f(x) = (x+6)(x-3)
0 = (x+6)(x-3)
x+6=0 and x-3=0
x=-6 and x=3
Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.
Answer: (-6, 0)
Step-by-step explanation:
got it right on my test
Solve for a.
a+(−1.2)=−5.5
Enter your answer in the box.
a =
Answers
Answer:
-4.3
Step-by-step explanation:
a+(-1.2)= -5.5
a-1.2=-5.5
add 1.2 to both sides
a-1.2+1.2= - 5.5+1.2
simplify
a= - 4.3
Answer:
a=-4.3
Why?:
You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.
You could easily get a line paper and line up-
-4.3
+ -1.2
_______
-5.5
-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3
Therefore,
a=-4.3
4b) Work out the mean and standard deviation of the following: picture included
Note: I ended up with the simultaneous equations, which are correct according to the markscheme BUT the answers I got upon solving them were incorrect.
μ = 170 + 1.6449σ
μ = 180 - 0.8416σ
What I got after solving these were:
μ = 169.5306859
σ = 12.44864932
But according to the markscheme, I should have gotten:
μ = 176.615...
σ = 4.021...
Can someone explain to me where I've gone wrong?
Answers
Answer:
Yes, your simultaneous equations are correct;
Solve them like so:
170 + 1.6449σ = 180 - 0.8416
2.4865σ = 10
σ = 4.0217...
μ = 170 + 1.6449(4.0217...)
μ = 176.615...
MS is correct, you must've made an error in solving or rearranging
Find two numbers whose sum is 36 and whose difference is 10.
Answers
Answer:
23 & 13
Step-by-step explanation:
23+13=36
Answer:
x = 23
y = 13
Step-by-step explanation:
Let the number be x and y.
As given,
x + y = 36 ---(i)
x - y = 10 ---(ii)
Adding eq(i) and eq(ii) we get,
2x = 46
x = 23
Now putting the value of x in eq(ii)
23 - y = 10
y = 13
So the two numbers are 23 and 13.
Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)
Answers
Answer:
The solution would be C. (2, -4)
Step-by-step explanation: Equation: 2y = -3x - 2
1. (2, -3)
2(-3) = -3(2) - 2
-6 = -6 - 2
-6 = -8 (Not a solution)
2. (-3, 2)
2(2) = -3(-3) - 2
4 = 9 - 2
4 = 7 (Not a solution)
3. (2, -4)
2(-4) = -3(2) - 2
-8 = -6 - 2
-8 = -8 (Solution)
4. (-4, 2)
2(2) = -4(-4) - 2
4 = 12 - 2
4 = 10 (Not a solution)
5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180
Answers
Answer:
C
Step-by-step explanation:
The probability of getting heads or tails is 50%.
300*50% = 150
Answer:
C. 150 times
Step-by-step explanation:
Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150
what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)
Answers
The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
Learn more about slope of a line perpendicular to a line on:
https://brainly.com/question/17990826
Sara earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. Write and solve an equation to find the number of rounds Sara played.
Answers
20x=400-100
20x=300
x= 300/20
15 rounds she played
extrano a mi sobrina, what does the underlined word mean
Answers
Answer:
I miss my niece
Step-by-step explanation:
it's the meaning of that hope U get it ...
pe
Two companies allow you to pay monthly for your food
A charges a one time fee of $150 and $45 per month Company B charges a
one time fee of $125 and $50 per
month
Answers
Answer:
A: 150+(45•p)
B: 125+(50•p)
Step-by-step explanation:
You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of the monthly fee by how many months.
Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response.
Answers
Answer:
Olivia's puppy is linear i know this because after applying to the graph i got a straight line.
Step-by-step explanation:
Answer:
When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.
Rate of change is calculated by the change in y/change in x
For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:
(1, 2)(3, 3)
3-2 / 3-1= 1/2
(3, 3)(5, 4)
4-3 / 5-3= 1/2
Since both equal 1/2 the rate of change is constant therefore making it linear.
Step-by-step explanation:
Classify the triangle shown by its angles and sides. Select all that apply.
Answers
Answer:
Step-by-step explanation: just get good at math
a. How do you identify the boundary line?
Answers
Answer:
Find your property line by visiting your local county recorder or assessor's office. You can access public maps of your street and locate your boundaries. Many counties also let you access property lines online. If your property is on platted land, you may be able to access the plat maps online.
Step-by-step explanation:
hello, please answer
if
[tex] \frac{a}{b} = \frac{c}{d} = \frac{2}{5} [/tex]
then what is the answer of
[tex] \frac{a + 3c + 4}{b + 3d + 10} [/tex]
Answers
Step-by-step explanation:
Given,
a/b = c/d = 2/5
=> a + 3c + 4/b + 3d + 10
=> (a/b) + (3c/3d) + (4/10)
=> 2/5 + 3(c/d) + 4/10
=> 2/5 + 3(2/5) + 4/10
=> 2/5 + 6/5 + 2/5
=> 2 + 6 + 2/5
=> 10/5
=> 2
The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?
