Answers
Answer:
y = 10(½)^(x)
Step-by-step explanation:
In writing exponential functions passing through points, we will just substitute the x and y values in each case into y = ab^(x).
Now, for point (-1, 20), the exponential function is; 20 = ab^(-1)
20 = a/b
For the point (1, 5), the exponential function is; 5 = ab^(1)
5 = ab
From 20 = a/b, we have; a = 20b
Thus, putting 20b for a in 5 = ab, we have;
5 = 20b(b)
b² = 5/20
b² = 1/4
b = √(1/4)
b = 1/2
Since a = 20b, then;
a = 20 × 1/2
a = 10
Thus, from y = ab^(x), we have;
y = 10(½)^(x)
Related Questions
kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.
Answers
Answer:
Kevin made 5 free throws and 3 two-point shots.
Step-by-step explanation:
Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:
11 x 1 + 0 x 2 = 11
6 x 1 + 4 x 2 = 14
5 x 1 + 3 x 2 = 11
Therefore, Kevin made 5 free throws and 3 two-point shots.
Answer:
Step-by-step explanation:
Graph
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter
Answers
HELP I NEED TO DO THIS NOW
Answers
Answer: The answer is 1:2, i hope it helps.
Plz help me well mark brainliest if correct....?.?.?.?
Answers
Jack places the bottom of a ladder 9 feet from the wall. It is a huge 41 foot long ladder so he asks his sister Katie to help him. How far up the wall does the ladder reach?
Answers
Answer:
40 feet
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a² + 9² = 41²
a² + 81 = 1681
Subtract 81 from both sides
a² = 1600
Take the square root of both sides
a = 40
A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches
Answers
Answer:
A
Step-by-step explanation:
Arc length is given by the formula:
[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]
Where r is the radius and θ is the central angle, in degrees.
The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:
[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]
Use a calculator:
[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]
Our answer is A.
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
Answers
Answer:
[tex]x < -4[/tex]
[tex]-4 > x[/tex]
Step-by-step explanation:
Given
Description of number line
Range: -6 to 2
Open circle on -4
Left shaded
Required
Select the number line
From the question, we understand that the left side of the number line is shaded.
This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]
Also, the open circle on -4 means that we discard [tex]\le[/tex].
So, the inequality is:
[tex]x < -4[/tex]
The opposite of the above inequality is:
[tex]-4 > x[/tex]
Answer:
A, D.
Step-by-step explanation:
good luck with edge :)
Find the area of the composite figure.
A. 65.1 sq in
B. 90.3 sq in
C. 106.3 sq in
D. 241.1 sq in
Answers
Answer:
I think B but not so sure
Hoping you have a good dayAnswer:
Step-by-step explanation:
radius of semi circle=8/2=4 in
height of triangle=14-4=10 in.
area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in
if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c
Answers
Answer:
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + c[/tex]
In which m is the slope and c is the y-intercept(value of y when x = 0).
A(2;2) and B(-3;4)
When we have two points, the slope is the change in y divided by the change in x. So
Change in y: 4 - 2 = 2
Change in x: -3 - 2 = -5
Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + c[/tex]
A(2;2)
When [tex]x = 2, y = 2[/tex]. We use this to find c.
[tex]y = -\frac{2}{5}x + c[/tex]
[tex]2 = -\frac{2}{5}(2) + c[/tex]
[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
What is the area of the figure?
7 in
Bin.
in
16 m
Answers
Answer:
112
Step-by-step explanation:\
Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)
If we follow this and plug in the Numbers we get the equasion- A=7x16
And so we solve and get the answer 112
hope this helped have a great day :3 (brainliest pls i need one more )
Jason drove 8 4/5 miles to a subway station. He then 15 /6 miles by taxi to attend a meeting. How many total miles did he travel?
Answers
Answer:
Option A: (23 + 29/30) miles
Step-by-step explanation:
Here we just need to add two mixed numbers.
(8 + 4/5) miles and (15 + 1/6) miles.
To add these, we just separate between the whole part and the fraction part:
(8 + 4/5) miles + (15 + 1/6) miles
= (8 + 4/5 + 15 + 1/6) miles
= (8 + 15 + 4/5 + 1/6) miles
= (23 + 4/5 + 1/6) miles
Now we need to find a common multiple between 6 and 5.
So, only analyzing the fraction part of the sum, we can rewrite:
4/5 + 1/6
= 4/5*(6/6) + 1/6*(5/5)
(notice that we are multiplying both numbers by one, so we do not change the expression's value)
= (4*6)/(5*6) + (1*5)/(6*5)
= 24/30 + 5/30
So now both fractions have the same denominator.
Then, replacing that in the sum equation we get:
(23 + 4/5 + 1/6) miles = (23 + 24/30 + 5/30) miles
= (23 + 29/30) miles
Then the correct option is option A.
Use a ratio box to solve this problem: After working 6 months, Martha received a raise of 20%. If
Martha's previous pay was $6.90 per hour, what was ber hourly pay after the raise?
Please put step by step
Answers
Answer:
$6.90+20%-6 months to get this answer
Robert must read a few books from his home library. He read any 4 out of 6 books from the top shelf, and then any 2 out of 3 books from the middle shelf and then any 3 out of 6 books from the bottom shelf. In how many ways can Robert read the books, if different orders in which the books will be read count as different ways
Answers
Answer:
Robert can read the books in 129,600 different ways.
Step-by-step explanation:
The order in which the book are read is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Top shelf:
4 books from a set of 6. So
[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]
Middle shelf:
2 books from a set of 3. So
[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]
Bottom shelf:
3 books from a set of 6. So
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
Total:
360*3*120 = 129,600
Robert can read the books in 129,600 different ways.
Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you
Answers
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
Find the measure of the angle HELP PLSSS URGENT!
Answers
Answer:
It is 40 degrees
Step-by-step explanation:
The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:
50+x=90
-50 -50
-------------
x=40
Q.Jason has 3 red pencils and 6 yellow pencils. Which statement is true?
•The number of red pencils is 1/2 times the number of yellow pencils
•The number of red pencils is 2 times the number of yellow pencils
•The number of yellow pencils is 1/2 times the number of red pencils
•The number of red pencils is 3 more than the number of yellow pencils
Answers
Answer:
The number of red pencils is 2 times the number of yellow pencils
If LK is a midsegment of hij, find x
Answers
Answer:
you forgot to post the pic
Step-by-step explanation:
Help me out thanks !!!!!
Answers
Answer:
x = 60°
Step-by-step explanation:
First find <E by applying the angles of intersecting chords theorem.
Based on the theorem, we would have the following equation:
m<E = ½(arc CA + arc BD)
Substitute
m<E = ½(170° + 70°)
m<E = ½(240)
m<E = 120°
Let's find x:
x = 180° - m<E (supplementary angles)
x = 180° - 120° (substitution)
x = 60°
convert (-2,2) into equivalent polar coordinates
Answers
HELP
What is the equation of the trend line in the scatter plot ?
Answers
1. Write an equation of the line in slope-intercept form that passes through (4.2) and (8.–2).
Answers
Answer:
its (8+4)/(-2-2) so the slope is -3x
Step-by-step explanation:
Which of the expressions below has a quotient that is greater than 15? Select all that apply.
A) 192÷12
B) 73÷5
C) 153÷9
D) 112.5÷9
Answers
A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome
Answers
You have a 1/3 chance each spin.
1/3 = x/180
180 = 3x
x = 60
Pls help me pls pls I am soo bad at math
Answers
Answer:
Length = 40
Height = 20
Step-by-step explanation:
If you multiply 40 x 20, it equals 800
20 is also half of 40 as well.
help please help please
Answers
Evaluate 5x when x =8
Answers
Answer:
5x
= 5(8)
= 40
I hope I've helped
According to the graph, the __________________ is 57-43.
Answers
Answer:
Range
Step-by-step explanation:
The range is the max value minus the min value
A. 1/3
B. 1
C. 2
D. 3/1
E. 1/2
F. 2/3
Answers
Answer:
B
Step-by-step explanation:
the graph is completely proportional so the answer would be 1
What is the decimal equivalent of 2/3?
Answers
Answer:
0.66
Step-by-step explanation:
Answer:
i think 0.6
Step-by-step explanation:
i thank hope it helps
One card is drawn from a regular deck of 52 cards. Find P (a red jack). Express your answer as a fraction and a percent, rounded to the nearest tenth of a percent.
Answers
Answer:
GIME SUM SKITTLES (Points)
Step-by-step explanation:
Answer:
Step-by-step explanation:
??.