Step-by-step explanation:
The form of a exponential function is
[tex]y = a \times {b}^{x} [/tex]
We know that
[tex]18 = a \times {b}^{ - 0.5} [/tex]
[tex]52 = a \times {b}^{1} [/tex]
If we divide these two we will get
[tex] \frac{26}{9} = b {}^{1.5} [/tex]
[tex] \frac{676}{81} = b {}^{3} [/tex]
[tex] \sqrt[3]{ \frac{676}{81} } = b[/tex]
Solving for a,
[tex]52 = a \times \sqrt[3]{ \frac{676}{81} } [/tex]
[tex]a = 25.64[/tex]
f(0)=a, so
f(0)=25.64
Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.
Answer:
3 h(x) = 4 sin(2x + π) + 3
Step-by-step explanation:
The function h(x) has a greater y-intercept
How to compare the functions?The functions are given as:
f(x) = -3x + 2 h(x) = 4 sin(2x + π) + 3Set x to 0,to calculate the y-intercepts
f(0) = -3(0) + 2 = 2
h(0) = 4 sin(2(0) + π) + 3 = 3
From the above computation, we have:
f(0) = 2
h(0)= 3
By comparison, we have:
h(0) > f(0)
This means that the function h(x) has a greater y-intercept
Read more about y-intercepts at:
https://brainly.com/question/1884491
What’s the formula to find the area of a right triangle? (pythagorean theorem)
Answer:
multiply the hight and length then divide it by 2
Step-by-step explanation:
A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?
Answer:
$0.05
Step-by-step explanation:
All you have to do us divide the cost by the amount of ounces
3.45 ÷ 64 is about 0.05
The full answer is 0.05390625
Since we are talking about money, it should be $0.05
If z=2
3 (x-12) and x=39, then what is z?
Answer:
621
Step-by-step explanation:
23(39-12) > 23(27)
23(27)= 621
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answer:
1072
Step-by-step explanation:
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
Solve for x
2(x+5)-7=3(x-2)
x=9
I'm sorry if I'm wrong
Answer:
x=9
Step-by-step explanation:
2(x+5)-7=3(x-2)
distribute the 2 and 3 which gives you
2x+10-7=3x-6
combine like terms
2x+3=3x-6
move the 2x to the other side by subtracting which gives you
3=x-6
add 6 to the other side which gives you
9=x
Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?
Answer:
for the 1st year she earned 160 so for 3 years she will earn $480
Which is equivalent to x2 - 4x = 12 by completing the square
Answer:
x = 6 , − 2
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST ACTUALLY PLEASE HELP
Answer:
$60
Step-by-step explanation:
According to the line of best fit, if a batter struck out about 80 times, about how many hours did the batter practice?
Answer:
The batter practice for 4 hours
Step-by-step explanation:
Here, we want to use the line of best fit for an estimation
What we will do here is to identify the point 80 strikecuts on the y-axis
After getting this, we trace this right wards toward the line of best fit
Upon getting this, we trace down to the x-axis to get the number of hours indicative of the strikecuts
By doing this, we can see that the number of hours is simply 4 hours
100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
Answer:
1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)
f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85
3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)
x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0
x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2
Step-by-step explanation:
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
what is the product
4/6 x 9
13/16
36/54
3
6
is the value of
is 14?
Answer: So in the number 14, there is one ten and four ones—10 + 4 = 14. If we change that 1 to a 2, we get 24, or twenty-four. The number 2 in the tens place tells us there are two tens. Each place value is 10 times larger than the place value to the right of it.
Step-by-step explanation:
A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys
Answer:
32
Step-by-step explanation:
Please help! Check to see if I have all of them correct! Will mark brainlist
Emma bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Wh
expression shows what Emma paid?
Answer:
4(3)+0.95=X
Step-by-step explanation:
Answer:
A sixth-grade student bought three cans of tennis balls for $4 each.
The sales tax for each can was $0.95.
To Find :
The total amount the student spent.
Solution :
Price of each can including taxes :
p = $( 4 + 0.95 )
p = $4.95
So, price of 3 such cans including tax is :
P = p×3
P = $( 4.95×3 )
P = $14.85
Therefore, total amount spend by the student is $14.85 .
Step-by-step explanation:
find the area please
Answer:
86.54625
Step-by-step explanation:
Formula: a = πr², r = d/2
Given: π = 3.14, d = 10.5
Sub: a = (3.14)r²
Find r.
10.5/2
5.25
Sub: a = (3.14)5.25²
Solve: 86.54625
Tiara attended 12 piano classes in four weeks. If she attended the same number of classes each week, which equation can be used to find the number of classes she attended every week?
A.4 + c = 12
B.4c = 12
C.12c = 4
D.12 - c = 4
Answer:
C
Step-by-step explanation:
Because i'm smart and did the math.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
9514 1404 393
Answer:
B. rectangle, not a square
Step-by-step explanation:
When you plot the points, you see the lines between them have a rise/run of 3/2 or -2/3. The product of these numbers is -1, so the sides of the figure are perpendicular (not a rhombus, not a trapezoid). The figure is not square, so is ...
rectangle that is not a square
I need help I'm struggling :(
He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.
Answer:
Lucas is not right.
Step-by-step explanation:
To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675
Solution:
Value of 6 in 76,345 = 6,000
Value of 6 in 34,675 = 600
Now 6000 = 10 × 600
So,
Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
Therefore, Lucas is not right.
Answer:
Part A: Lucas is wrong.
Part B: The value of 6 in 76,345 is 6,000 and the value of 6 in 34,675 is 600.
Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
10 × 600 = 6,000
Step-by-step explanation:
I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!
Please mark my answer as the Brainiest!!!!!
Thank You!!!!!!!!
PLS HELP I WILL MARK THE BRAINLIEST.
Answer: HELP ASA! I NEED HELP ON MY TWO LAST QUESTIONS
Step-by-step explanation:
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
Anyone help me solve for y.
Answer:
y = - 4
Step-by-step explanation:
Given
y = 2x + ( - 2) , that is
y = 2x - 2 ← substitute x = - 1
y = 2(- 1) - 2 = - 2 - 2 = - 4
This is confirmed by the point (- 1, - 4 ) on the graph
What is 2 2/13 divided by 2/3
Answer:
3.23
Step-by-step explanation:
Answer:
the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer
A .Write an equation for the trend line in slope -intercept form .
Given:
The graph of a trend line.
To find:
The equation of the trend line is slope intercept form.
Solution:
From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).
Slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{50-25}{5-0}[/tex]
[tex]m=\dfrac{25}{5}[/tex]
[tex]m=5[/tex]
The line passes through the point (0,25). So, the y-intercept of the line is 25.
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The slope intercept from of the line is:
[tex]y=(5)x+(25)[/tex]
[tex]y=5x+25[/tex]
Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].
Someone pls help:( im new tysm if u doo!
write a linear equation using y=mx+b