9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
An object changes speed from 10 m/s to 18 m/s in the course of 4 seconds. What is its acceleration? HURRY PLEASE IM TAKING A TEST ASAP 50 points and brainliest
Answer:
2
Step-by-step explanation:
Velocity/Time, or 8/4 equals 2.
Hope this helps!
Ms. Wall will roll two number cubes. What is
the probability that she will roll a sum of 9 ?
Express your answer as a fraction.
(I'll give brainlist if u get it right)
Answer: 9/1
Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.
To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
For a sum of 9, the following combinations are favorable:
(3, 6), (4, 5), (5, 4), (6, 3)
So, there are 4 favorable outcomes.
The total number of possible outcomes is still 6 × 6 = 36.
The probability of rolling a sum of 9 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 36
Simplifying the fraction, we get:
Probability = 1 / 9
Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.
Decide whether the equation describes a function.
y= 4x - 5
What is the domain and range?
Answer: The domain is in the picture
Step-by-step explanation:
What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?
Answer:
The answer is D,
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
Step-by-step explanation:
The explicit formula for the arithmetic sequence is D, a(n) = 4/5 + 1/6(n- 1)
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
The explicit formula is given by:
[tex]T_n = a + (n-1)d[/tex]
Where a is the first term (4/5) and d is the common difference (the difference is any 2 terms).
Therefore, to find d:
29/30 - 4/5
29/30 - 24/30
d = 5/30
d = 1/6
Now putting them into the formula:
a(n) = 4/5 + 1/6(n- 1)
The last answer choice is right.
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GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee
Answer:
the answer is 29.7
Step-by-step explanation:
inverse tangent of (4/7)
what would the perfect square be???
Answer:
d
Step-by-step explanation:
i literally just did that
Answer:
D
Step-by-step explanation:
Please guys help me
Answer:
[tex]C' = (2,8)[/tex]
[tex]A' = (4,4)[/tex]
[tex]T' = (10,10)[/tex]
Step-by-step explanation:
Given
[tex]k =2[/tex]
[tex]C =(1,4)[/tex]
[tex]A = (2,2)[/tex]
[tex]T =(5,5)[/tex]
Solving (a): The new points
To do this, we simply multiply the old points by the scale factor.
i.e.
[tex]New = Old * k[/tex]
So:
[tex]C' = (1,4) * 2 = (2,8)[/tex]
[tex]A' = (2,2) * 2 = (4,4)[/tex]
[tex]T' = (5,5) * 2 = (10,10)[/tex]
Solving (b): The graph of the original image
See attachment
Mr. Jones has fives eats on the school’s trip to Grand Canyon for his students. In how many different ways Mr. Jones can select a group of five from his class of 35?
Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1
Answer:
The line is a vertical line, which does not have a slope.
Step-by-step explanation:
Slope of a line:
Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.
(6,6) and (6, -7).
Change in y: -7 - 6 = -13
Change in x: 6 - 6 = 0
Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n= 8? O 122 - 6+ 10; when n= 8, the value is 8. 12 O B- 6- 5+10; when n = 8, the value is 12. 02-6+10; when n = 8, the value is 11. O 6-9 +10, when n = 8, the value is 9
Answer:
the answer is 8
Step-by-step explanation:
the expression is written as (n/2 - 6)+ 10
therefore when n=8..
(8/2 - 6) + 10
we now have, (4-6)+10
(-2)+10=8...
Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]
Using the parametric equation of the line,
[tex]x=x_0+at[/tex]
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and [tex]y = y_0+bt[/tex]
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
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Find the value of x in the triangle below.
Answer:
Can't be Solved
Step-by-step explanation:
tan x = opp/adj
tan x = 23/11
tan x = 2.09090909 which is about
tan x = 2.09
x = 64.4 degrees which is the tangent of 2.09 in degrees.
x = 64.4 degrees
This is the only way to solve, since no answer is equivalent it can't be solved.
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
Evaluate the following expression.
6^-3
Answer:
.0046, if you mean the -3 to be an exponent
Step-by-step explanation:
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Find the properties of each Quadratic Function
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
11 A right triangle is shown.
х
15 in
17 in
What is the value of X?
A 32 in
B 8 in
C 2 in
D 514 in
Answer:
8 in.
Step-by-step explanation:
Kaitlyn is walking on a treadmill at a constant pace for 36 minutes. She has programmed
the treadmill for a 2-mile walk. The display counts backward to show the distance
remaining.
Enter and graph the equation that gives the distance f(x) left in miles as a function of the
number x of minutes she has been walking. Then, find and compete the interpretation of
the x- and y-intercepts.
The equation is f(x) =
Answer:
x int = (36,0)
y int = (0,2)
Step-by-step explanation:
Speed = distance / time
speed = 2/36 = 0.05555 Or 1/18 (as a fraction)
equation = f(x) = 2 - x/18
graph
The equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking is [tex]f(x) = -\frac{x}{18} + 2[/tex]
The x-intercept of the graph is at (0, 2) which shows that the distance traveled at the beginning is 2 miles
The y-intercept of the graph is at (36, 0) which shows that no distance was covered when at when the time is 36 minutes
The general equation that represents the graph is expressed as:
[tex]f(x) = 2 - sx[/tex]
s is the speed of Kaitlyn
The formula for calculating the speed is expressed as;
[tex]speed = \frac{distance}{time}[/tex]
The function required will become;
[tex]f(x) = 2 - \frac{d}{t}x\\[/tex]
Given the following parameters
distance "d" = 2 miles
Time "t" = 36 minutes
Substitute the given parameters into the function as shown:
[tex]f(x) = 2 - \frac{2}{36}x\\f(x) = 2 - \frac{1}{18}x\\f(x) = -\frac{x}{18} + 2[/tex]
Hence the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking is [tex]f(x) = -\frac{x}{18} + 2[/tex]
Get the y-intercept of the function:
If x = 0
[tex]f(x) = -\frac{0}{18} + 2\\f(x) = 2[/tex]
The y-intercept of the function is (0, 2)
Get the x-intercept of the function
[tex]0 = -\frac{x}{18} + 2\\-2 = -\frac{x}{18} \\x = 36[/tex]
Hence the x-intercept of the graph is expressed as (36, 0)
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Example 5:
Mrs. Williams writes the following number on the board.
276,954
She instructs her students to write a number where the value of the 6 in their number is 10
times greater than the value of the 6 in the number on the board. Duwan writes the number
286,123. Is his answer correct? Explain how you know.
Answer:
No Duwan is in incorrect.
Step-by-step explanation:
When it asks for a number to be 10x greater, the answer would be in a digit that is 1 greater. For example 10x greater than 10 would be 100. You move the digit up once. An answer that Duwan could have used is: 260,000.
HELPP I’m doing this test Soo I need help
WILL GIVE BRAINLIEST ONLY IF RIGHT! Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 5, per plant for different varieties. Each dot represents a different plant.
Order the varieties from least to greatest the typical number of peppers per plant.
Put the graph with the least typical value on top.
Answer:
In photo
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help please !! thank you :)
Answer:A
Step-by-step explanation:
An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers please help see the pic)
Answer:
28° 62°
Step-by-step explanation:
Hope this helps :)
HELP ME PLEASE I NEED TO PASS THIS CLASS
Answer: I could be wrong but it's probably 3.
Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)
Answer:
37°
Step-by-step explanation:
70°+73°+x°=180°
143°+x°=180°
x°=180°-143°
x°=37°
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.
is .5 a integer? xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Answer:
No
Step-by-step explanation:
Fractions and decimals are not considered integers
work out
cube root 1331 : reciprocal of 0.2
give your answer in the form n:1
Answer:
2.2 : 1
Step-by-step explanation:
cube root 1331 : reciprocal of 0.2
give your answer in the form n:1
The cube root of 1331
(1331)^1/3 = 11
Reciprocal of 0.2 = 1 /0.2 = 5
Hence, the ratio Can be expressed as :
11 : 5
In the form n : 1
divide both sides by 5
11/5 : 5 /5
2.2 : 1
Which statements mean the same as twelve months same as cash?
Choose all correct answers.
The purchase has to be paid for in cash.
It has to be paid in 12 months.
It it takes longer than 12 months to pay, a finance charge has to be paid.
Nothing has to be paid until month 12.
Answer:
It has to be paid in 12 months.
Nothing has to be paid until month 12.
It it takes longer than 12 months to pay, a finance charge has to be paid.
Are all the correct answers
Step-by-step explanation:
The statements that mean the same as twelve months same as cash are:
It it takes longer than 12 months to pay, a finance charge has to be paid.Nothing has to be paid until month 12.What does x time same as cash mean?"x time same as cash" means that you got x time to pay the cash without any additional cost. If you take more time than x time to pay the due amount, then you would have to pay extra.
Example: 5 months same as cash means you can pay the due cash amount without any additional fine. If you take more than 5 months to pay the amount, then additional payment would be charged.
Thus, the statements that mean the same as twelve months same as cash are:
It it takes longer than 12 months to pay, a finance charge has to be paid.Nothing has to be paid until month 12.Learn more about interests here:
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The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The more you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
What angle maximizes the area of the triangle below?
Answer:
90°
Step-by-step explanation:
Area of triangle with sides a and b and included angle Θ:
A = (1/2)ab * sin Θ
dA/dx = (1/2)ab cos Θ
(1/2)ab cos Θ = 0
cos Θ = 0
Θ = 90°
Let f(x) = x + 2 and g(x) = x + 4.
Find f(g(f(2)).
Brainliest 15 points
Answer:
10
Step-by-step explanation:
Let's find f(2) first.
f(2) = 2 + 2 = 4
This means it would be f(g(4)).
Then let's find g(4).
g(4) = 4 + 4 = 8
Then, this means f(8).
f(8) = 8 + 2 = 10