Answer:
3.349
Step-by-step explanation:
Which function could produce the graph shown below?
A. f(x) = 4e^ 0.05x
B. Ax) = 4e ^ -0.5x
C. f(x) = 4e^ 0.5x
D. f(x) =4e ^ - 0.05x
Answer: the correct awnser is B. F(x)=4e ^0.5x
Step-by-step explanation: I know because I put it into calculator and found the awnser
The function that could produce the graph will be [tex]\rm y = 4 \ e^{-0.50x}[/tex]. Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
[tex]\rm y = a \ e^{bx}\\[/tex]
From the graph, at x = 0, the value of the function is 4. Then we have
[tex]\rm \\4= a \ e^{b\times 0}\\[/tex]
a = 4
Then the exponential equation is given as,
[tex]\rm y = 4e^{bx}[/tex]
From the graph, at x = 1, the value of the function is 2.426. Then we have
[tex]\rm 2.426 = 4 e ^b \\\\e^b = 0.6065[/tex]
Take natural log on both sides, then we have
b lne = ln 0.6065
b = - 0.50
Then the exponential equation is given as,
[tex]\rm y = 4 \ e^{-0.50x}[/tex]
The function that could produce the graph will be [tex]\rm y = 4 \ e^{-0.50x}[/tex]. Then the correct option is B.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
A city has two water towers. One tower holds 4.37 x 106 gallons of water and the other holds 3.92 x 106 gallons of water. What is the combined water capacity of the two towers?
17.13 x 1012 gallons
17.13 x 1012 gallons
1.11 x 100 gallons
1.11 x 100 gallons
8.29 x 106 gallons
8.29 x 106 gallons
.45 x 1012
Answer:
the answer is 1.713 x 106
Step-by-step explanation:
Please help this is the 3rd time posting this today. Awarding 30 points.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
−−→
DF
bisects
∠EDG
. Find FG. The diagram is not to scale.
"FG = 14 is the answer
The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.
This implies that:
n + 9 = 4n - 6
Collect like terms
n - 4n = -9 - 6
-3n = -15
Divide both sides by -3
n = -15/-3
n = 5
✔️FG = 4n - 6
Plug in the value of n
FG = 4(5) - 6
FG = 20 - 6 = 14"
How would you calculate ( 2x + 1 )( x + 6 )( x - 4 ) = 2x^3 + ax^2 + bx -24
(2x+1)(x+6)(x-4)= 2x³+ax²+bx-24
(2x²+x+12x+6)(x-4) = 2x³+ax²+bx-24
2x³+x²+12x²+6x-8x²-4x-48x-24 = 2x³+ax²+bx-24
2x³+x²+12x²+6x-8x²-4x-48x-24- 2x³-ax²+bx-24=0
5x²-46x-ax²+bx-48=0
-ax²+5x²+bx-46x-48=0
Mr. and Mrs. Sanchez want to invest money for their
child's college education. They have decided to invest
$2000 initially. If the investment is in an account that
earns 8% annual interest, compounded yearly for 10
years, how much will their investment be worth at the
end of the 10th year? (Hint: $2000 is ao, think about a
as the value of the account at end of the 1st year.)
The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 8% per year compounded 1 times per year over 10 years is $4,317.85.
Given Data
Initial Amount = $2000
Annual interest rate = 8%
Time = 10 years
A = P + I where
P (principal) = $2,000.00
I (interest) = $2,317.85
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 2,000.00(1 + 0.08/1)(1)(10)
A = 2,000.00(1 + 0.08)(10)
A = $4,317.85
Learn more about compound interest here:
https://brainly.com/question/24924853
Write cos 23 degrees in terms of sine
Answer:
0.3907.
Step-by-step explanation:
Using trigonometric identities, we can write cos 23° in terms of sin 23° as, cos(23°) = √(1 - sin²(23°)). Here, the value of sin 23° is equal to 0.3907.
Answer:
what does international employment mean ? explain its important in any four points
3. Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earns a base salary of $85 per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?
Answer:
1333.33
Step-by-step explanation:
125 + .18x = 85 + .21x
40 = .03x
x = 1333.33
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?
The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.
To calculate the time the person must leave the money in the bank until the money reaches 13200 dollars, we use the formula of compound interest below.
What is compound interest?This is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
Formula:
A = P(1 + r/100)ⁿ................ Equation 1Where:
A = AmountP = Principler = Raten = Time.From the question,
Given:
P = 7000 dollarsr = 5.5% componded monthlyA = 13200 dollarsSubstitute these values into equation 1 and solve for n
13200 = 7000(1+(5.5×12)/100)ⁿ(1+(5.5×12)/100)ⁿ = 13200/7000( 1.66)ⁿ = 1.886n = 2.9 yearsHence, The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.
Learn more about compound interest here: brainly.com/question/18456266
What is the percent of change from 100,000 to 20,000?
Step-by-step explanation:
100 % = 100000(1). x % = 20000(2). Therefore, 20000 is 20 % of 100000.
what is the rate of change for the numbers 3,5,7,9
Answer:
Plus 2 (+2)
Step-by-step explanation:
The rate of change is always a constant change from the given first term to the next one. In this case, you are adding 2 each time:
3 + 2 = 5
5 + 2 = 7
7 + 2 = 9
etc.
~
Change means difference in the state or condition of a thing and here the thing is number. The change made within them must be following some certain rules or patterns.
They can be uniform and here it is uniform for sure. The terms are increasing by 2 or we can say that for getting th next number, we need to add 2 with the previous.
3 + 2 = 55 + 2 = 77 + 2 = 9So, the rate of change for the above numbers or number series is +2 or addition of 2[tex].[/tex]
Carry On Learning !
Need help finding the missing side of each triangle?
This is a right triangle. Use the Pythagorean theorem to solve:
x^2 + 5.8^2 = 15.6^2
x^2 + 33.64 = 243.36
Subtract 33.64 from both sides:
x^2 = 209.72
Take the square root of both sides:
x = 14.48171
Round to 1 decimal place:
x = 14.5 in.
Answer:
x = 14.5 in
Step-by-step explanation:
There is something called pythagoras' theorem. It states that
a^2 + b^2 = c^2,
a, b and c being sides of a right-angled triangle.
C is always the hypotenuse and a and b are any of the other two.
(The hypotenuse is always the longest side, and always opposite to the right angle, which is always the biggest angle of a right-angled triangle.)
So here we know two sides, the hypotenuse and another side. Let's substitute them into the formula:
5.8^2 + x^2 = 15.6^2
x^2 = 15.6^2 - 5.8^2
x^2 = 243.36 - 33.64
x^2 = 209.72
x = sqr209.72
x = 7sqr107/5 = 14.48171261 in
= 14.5 in (if rounded to 3 significant figures)
You could use a shortcut to do all this and find the answer more quickly:
a^2 = c^2 - b^2 or b^2 = c^2 - a^2
also:
a = sqr(c^2 - b^2)
x = Sqr(15.6^2 - 5.8^2)
= 14.5 in
Helps me solve this problem please 7
Answer:
1 = B
2( right of 1)= A
3= C
and 4=D
Bro. you r asking so many problem in the same time!
Compare the following scores: A score of 75 on a test with a mean of 65 and a standard deviation of 8 A score of 75 on a test with a mean of 70 and a standard deviation of 4
A) A score of 75 with a mean of 70 and a standard deviation of 4 is better.
B) The two scores are statistically the same.
C) A score of 75 with a mean of 65 and a standard deviation of 8 is better
D) You cannot determine which score is better from the given information.
Answer:
The two scores are statistically the same
Step-by-step explanation:
Anton bought a cooler, His bill with tax was $7.95 he paid 6 percent sale taxes, how much did he pay for cooler alone without the tax?
Answer:
Anton's bill including tax =$7.95 , out of this 6% is sales tax. This implies 94%(100−6) of total bill accounts for cooler alone.
Step-by-step explanation: looked it up!
52 is 13% of what number?
Answer: 52 is 13% of 400
Hope this helps!
Answer:
Step-by-step explanation:
the answer is 400
To solve this problem you multiply 52 by 100 and then divide the total by 13 as follows: (52 x 100) / 13
2 quarter’s=. Pints
Help
Answer:
2 quarts= 4 pints
Step-by-step explanation:
multiply the volume value by 2
A. If ΔABC is reflected across the y-axis, what are the resulting coordinates for points A', B', and C'?
B. Sketch the reflection on the coordinate plane.
Answer:
A' = (-1, 6)
B' = (-2, 1).
C' = (-5, 2).
Step-by-step explanation:
Reflection over the y-axis---> (a, b) transforms to (-a, b).
So A (1, 6) ---> A' (-1, 6).
Simplify 3+4y-y(9-2y)+5
Answer:
2y^2-5y+8
Step-by-step explanation:
that the answer :)
Answer:
2y2−5y+ 8
Step-by-step explanation:
Simplify by using radical. Rationalize denominators.
[tex]2a^{\frac{-1}{-2} }[/tex]
Step-by-step explanation:
First of all, [tex]\frac{-1}{-2}[/tex] is equal to [tex]\frac{1}{2}[/tex] because a negative divided by a negative is positive. So now we've got [tex]2a^\frac{1}{2}[/tex]. Well, a fractional exponent, when simplified, is a root. For example, [tex]x^\frac{1}{3}[/tex] is equal to [tex]\sqrt[3]{x}[/tex], and [tex]x^\frac{2}{5}[/tex] is equal to [tex]\sqrt[5]{x^2}[/tex].
Now this is where people make mistakes. Remember, [tex]2a^\frac{1}{2}[/tex] is really [tex]2*a^\frac{1}{2}[/tex], which means only a is raised to the exponent. We would only raise 2a to the power of [tex]\frac{1}{2}[/tex] if our term was [tex](2a)^\frac{1}{2}[/tex]. But since our term is [tex]2*a^\frac{1}{2}[/tex] we raise a to the power of [tex]\frac{1}{2}[/tex] which is the same as [tex]\sqrt[2]{a}[/tex] or just [tex]\sqrt{a}[/tex]. Then we multiply that result by 2 and we have [tex]2\sqrt{a}[/tex] which is fully simplified.
Lines p and q are parallel. Solve for x.
Answer:
3 x + 24
Step-by-step explanation:
Answer:
X=52
Step-by-step explanation:
3X+24=180
3X=180-24
3X=156
X=156/3
X=52
hello people ~
Question:
A courtyard’s floor which is 50 m long and 40 m wide is to be covered by square tiles. The side of each tile is 2 m. Find the number of tiles required to cover the floor.
Hii
Length of floor⇢50m
Width of floor⇢40m
Area⇢50x40 = 2000m²
side of cube⇢2m
Area⇢2x2= 4m²
No. Of tiles required ⇢ 2000/4 = 500 tiles
Hope this helps :)
Brainliest?
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.
Both plans cost the same when 50 texts are sent
Step-by-step explanation:
Let
x ---->the number of texts
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
we have that
Emilia’s plan (Red line)
The slope is
The y-intercept is
substitute
----> equation A
Hiroto’s plan (Blue line)
The slope is
The y-intercept is
substitute
----> equation B
The solution of the system of equations A and B is the point of intersection both graphs
The intersection point is given
The intersection point is (50,22.5)
That means----> For x=50 texts, the cost is equal in both plans
Verify each statement
case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
Verify
For x=100 texts ----> 100 > 50
Emilia's plans
Hiroto's plans
case b) Both plans cost the same when 22 texts are sent
The statement is false
Because
Both plans cost the same when 50 texts are sent
case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
case d) Both plans cost the same when 50 texts are sent
The statement is true
Answer:
Both plans cost the same when 50 texts are sent.
Step-by-step explanation: Took test edge 2020: D
Saturday a minor league baseball team gave away baseball cards to each person entering the stadium.On group recieved 28 baseball cards.A second group recieved 84 baseball cards.If each person entering the stadium recieved the same number lf baseball cards, what is the greatest number of baseballs cards they could have recieved?Rewrite using distrubutive property
Answer: 28
Step-by-step explanation:
Given: First group received 28 baseball cards and second group received 84 baseball cards.
Total cards= 28+84 =112
If each person entering the stadium received the same number , the greatest number of baseballs cards they could have received = G.C.D. (28,84,112)
[G.C.D. = greatest common divisor]
Since the prime factorization of 28 , 84 and 112 are as follows
28 = 2 x 2 x7
84 = 2 x 2 x 3 x 7
112 = 2 x 2 x 2 x 2 x 7
G.C.D (28, 84, 112 )= 2 x 2 x7 = 28
The greatest number of baseballs cards they could have received = 28
I need a staight answer, A or B and why
Answer:
The answer is A
Step-by-step explanation:
You are not changing -14 into 14, you are just simply saying that you are adding more negative to -14, so instead of saying minus 6, you are saying adding -6. you are still going down on a number line either way.
Question 7 (1 point)
Problem 7, part b:
Two angles are similar.
A.
must be true
B.
could possibly be true
C.
definitely can't be true
B. Could possibly be true
Because, who knows? They could be, but they may not be.
If QS is the angle bisector of
WILL GIVE BRAINLIEST!!!!
What is the best fit line? How do you draw it?
Answer:
the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.
Step-by-step explanation:
mr clean
For which value of x is f(x)=7
Answer:
5
Step-by-step explanation:
If you input 5 you get 7
Answer: 5
Step-by-step explanation:
f(x) usually means the y-value or output of the functions.
It can find the x value through the graph. When y is 7, you can see that x is 5 (See the image).
Jasmine biked 5 1/4 miles on Monday, 6 7/8 miles on Tuesday, and 8 1/2 miles on Wednesday. If he continues the pattern, how many miles will he bike on Friday?
*Step by step
Answer:
11 6/8 miles
simplify: 11 3/4 miles on Friday
Step-by-step explanation:
how to find perimeter of a rectangle if width is 2200m and length is 1.25km
Thanks
Answer:
6.90kmStep-by-step explanation:
width=2200m
length=1.25km
=1250m
perimeter of rectangle= 2(l+b)
=2(2200+1250)
=2×3450
=6900m
or 6.90km
Hope it will help.....