Answer:
[tex]y=20(2)^x[/tex]
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
[tex]y=ab^x[/tex]
The point (0, 20) tells us that y = 20 when x = 0. Hence:
[tex]20=a(b)^0[/tex]
Simplify:
[tex]20=a(1)\Rightarrow a=20[/tex]
So, our exponential function is now:
[tex]y=20(b)^x[/tex]
Next, the point (6, 1280) tells us that y = 1280 when x = 6. Thus:
[tex]1280=20(b)^6[/tex]
Solve for b. Divide both sides by 20:
[tex]64=b^6[/tex]
Therefore:
[tex]b=\sqrt[6]{64}=2[/tex]
Hence, our function is:
[tex]y=20(2)^x[/tex]
PLEASE HELPPPP ASAP!!!! I REALLY NEED IT! WILL MARK BRAINLIEST!!!!
I PUT ALL MY POINTS INTO THIS QUESTION
Answer:
3.3
Step-by-step explanation:
d = (10 - 4) + (8 - 3)
d = 6 + 5
d = square root of 11
d = 3.31662479 or 3.3
I'll be expecting that brainliest :)
HELPPPPPP AHHH PLAESEEEEEEE
Answer:
The answer is D 3x+y=1 and 3x-2y=16
Step-by-step explanation:
What will your balance be on an investment of $1,000 at 4.% for 5 years compounded annually.
30 POINTS ANSWER
Answer:
200
Step-by-step explanation:
because if you take 4 percent of 1000 you get 40 and 40 x 5 is 200
Add 8x to 2x and then subtract 5 from the sum. If x is a
positive integer, the result must be an integer multiple
of...
A. 2
B. 5
C. 8
D. 10
E. 15
Answer:10
Step-by-step explanation:
what is 1 times 0?
i forgot my multiples lol
please help with this! i will mark the best answer brainliest. (image included)
Answer:
6 units
Step-by-step explanation:
A'B'C' is equal to ABC
How do I find the center and angle of rotation
9514 1404 393
Answer:
B → XC → YD → Z180° rotation about the originStep-by-step explanation:
In general, if PQ is rotated to P'Q', the center of rotation (O) will be the point of intersection of the perpendicular bisectors of PP' and QQ'. The angle of rotation will be the angle POP', or QOQ'.
__
The correspondence between preimage vertices ABCD and image vertices can be found by naming the vertices in the same order (clockwise) from one whose correspondence you know.
Here, the correspondence between A and W is given. Vertices clockwise from W are WXYZ, so those are the image points corresponding to ABCD.
__
We note that the midpoints of AW and BX are coincident at the origin. That is, the perpendicular bisectors of these segments are coincident at the origin, so the origin (point O) is the center of rotation. The rotation angle is AOW, an angle that measures 180°.
__
The image point coordinates are the opposites of the preimage point coordinates.
A(2, 2) ⇒ W(-2, -2)
B(2, 5) ⇒ X(-2, -5)
C(5, 5) ⇒ Y(-5, -5)
D(5, 2) ⇒ Z(-5, -2)
This is another indication that the rotation is 180° about the origin, since that rotation results in the mapping ...
(x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin
Please help!!! I would rlly appreciate it!
Answer:
A, B, C are correct
Step-by-step explanation:
D) sin P = 12/13
E) tan R = 5/12
solve the inequality
what's one thing that could possibly end the whole entire world? (p.s.my most recent artwork)
Answer:
i love ur art its amazeballs and an asteroid thing
Step-by-step explanation:
Which of the following add carbon dioxide to the atmosphere
Answer:
Carbon dioxide is added to the atmosphere naturally when organisms respire or decompose (decay), carbonate rocks are weathered, forest fires occur, and volcanoes erupt. Carbon dioxide is also added to the atmosphere through human activities, such as the burning of fossil fuels and forests and the production of cement.
Step-by-step explanation:
Answer:
Step-by-step explanation: The first one on the left
I need help solving the question below
Answer:
18
Step-by-step explanation:
Answer:
its answer is 18.......
The sum of 3 and y is greater than 10
Answer:
3 + y > 10
Step-by-step explanation:
Is your expression.
Just use the keywords the sum of and greater than.
A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of the balance at the end of 30 days how much more in interest will they pay for the purchase? A point $.32 be $3.19 C $31.88 D $318.78
Answer:
$31.88
Step-by-step explanation:
Given
Consumer charges = 2530.16cents
Consumer charges in dollars = $25.3016
Interest rate per day = 0.042%
Interest gotten per day = 0.042×25.3016
Interest per day = $1.06266
Interest in 30 days = ,30×1.06266
Interest in 30 days = $31.88
Answer:
c pls mark barliest
Step-by-step explanation:
Find the slope of the line that passes through the pair of points (6,-2) and (5,-4).
Show all work necessary and write your final answer in the box.
Answer:
slope = -10/7Step-by-step explanation:
co-ordinates = (6,-2) (5,-4)
slope = (y² - y¹) / (x² - x¹)
slope = (-4 - 6) / (5 - (-2))
slope = (-10) / (5+2)
slope = (-10) / 7
slope = -10 / 7
Answer:
10/7
Step-by-step explanation:
On one island there lived two friends, Ana and Banana. One of them always tells the truth, while the other always lies. When asked which one is the liar among them, they said: Ana: "Banana ate ten apples yesterday, and he is telling the truth." Banana: "No, I ate five apples yesterday, and Ana is lying." How many apples did Banana eat yesterday?
Answer:
Number of apples ate = 5
Step-by-step explanation:
Fact:
One of them always tells the truth, while the other always lies.
To find how many apples banana ate, we have to figure out who is lying between Ana and Banana.
Ana: "Banana ate ten apples yesterday, and he is telling the truth."
If Ana is telling the truth, that means Banana is also telling the truth because of the statement (... and he is telling the truth).
This is not possible as one of them must be lying. The only option left is that Ana is lying.
Since Ana is lying, it means banana is telling the truth.
Banana: "No, I ate five apples yesterday, and Ana is lying."
Number of apples ate = 5
Solve for x. Round your answer to the nearest tenth. (one decimal place)
X=?? degrees
Answer:
Use sine:
sin x = 20/30sin x = 2/3x = arcsin (2/3)x = 41.8°HELP DUE IN 10 MINS! Finish the statement.
Corresponding sides of similar figures are??
Answer:
proportional
Step-by-step explanation:
Answer:
Proportional
Step-by-step explanation:
After Dan makes a basket, Josephine claims she can find the amount of time the ball was in the air (from the time it leave's Dan's hand to the time it enters the basket),
Josephine says she can do this by using Dan's equation (1) = -1649 +18 + 8) and setting the equation equal to zero. Dan doesn't think Josephine's thinking is correct.
Who do you agree with?
Explain your reasoning using mathematical evidence.
Answer:
Step-by-step explanation:
The function is to blurry to see but you would not set the height function equal to zero. Instead h should be set to the height of the basket. The time elapsed would be the second time the ball was at the height of the basket. If I guess what the function is as
-16t^2+18t+8=10
-16t^2+18t-2=0
-16t^2+16t+2t-2=0
-16t(t-1)+2(t-1)=0
(-16t+2)(t-1)=0
So the ball is at 10ft at 0.125s and 1s. So it enters the hoop after 1 second. Of course this is dependent on if I guessed at the correct equation from the picture.
Can someone help me with these 3 questions please
Answer:
1. 1.5. 2.negitive 3. reciprocal hope it helps so sorry if its wrong
Is the point (4,-3) a solution for this system?
help me out please.. thank uu
A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.
Answer:
The time duration for the population to exceed 10,000 is approximately 6.6 hours
Step-by-step explanation:
The given equation for the population of a bacteria is presented as follows;
[tex]p(t) = P_0 \cdot 1.42^t[/tex]
Where;
t = The time duration in hours
The initial population of the cells = 1,000
Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0
∴ P(0) = 1,000 = P₀ × 1 = P₀
P₀ = 1,000
When the population is 10,000, we have;
P(t) = 10,000 = 1,000 × 1.42^t
∴ 1.42^t = 10,000/1,000 = 10
㏒(1.42^t) = ㏒(10) = 1
∴ t × ㏒(1.42) = 1
t = 1/㏒(1.42) = 6.56649071898
∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.
Solve please. Correctly
3(1 - 2a) = -3a - 18
Answer:
a = 7
Step-by-step explanation:
3(1 - 2a) = -3a - 18
3 - 6a = - 3a - 18
Add 18 to each side:
3 + 18 - 6a = - 3a - 18 + 18
21 - 6a = - 3a
Add 6a to each side:
21 - 6a + 6a = - 3a + 6a
21 = 3a
3a = 21
Divide each side by 3:
3a ÷ 3 = 21 ÷ 3
a = 7
Which side lengths form a right triangle?
Answer:
It is B
Step-by-step explanation: I think
the dog that cared about the cat
34.54 rounded to the nearest tenth
Answer:
34.54 = 34.5.
Step-by-step explanation:
What is the length of a rectangle with an area of (4x^2-10x-6) and a width of (x-5)
Help lleaseee
In the number 73.6592104, which digit is in the thousandths place?
Answer:
In the number 73.6592104, the 9 is in the thousandths place.
Let me know if this helps!
While selling 15 copies, a man gains the cost price of 5 copies, find the profit percent.
Answer:
If the price is p and the cost is c, then
15p = 20c
p/c = 20/15 = 1.333
so, he made 33% profit
Please answer this ill give brainliest to the best
A student worked out the following problem: Solve: 8x + 10 – 6x + 4 = 24 Step 1: 2x + 14 = 24 Step 2: 2x = 38 Step 3: x = 19
A) There is an error in step 1
B) There is an error in step 2
C) There is an error in step 3
D) There is no error
Answer
b
Step-by-step explanation:
Answer:
B) There is an error in step 2.
Step-by-step explanation:
When solving 8x+10-6x+4=24, you have to first combine your like terms. These are 8x and -6x (giving you 2x) and 10 and 4 (giving you 14).
After combing your like terms, you now have the equation 2x+14=24.
You need to get x alone and the first step to do that is to subtract 14 from both sides of the equation. This cancels out 14 from the side with x on it and leaves you with 10 on the other side. Your equation is now 2x=10
This is where the student made the mistake. Instead of subtracting 14, they added 14.
The final step would be to divide by 2 on both sides.
At the end of the problem, you are left with x=5.