If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
The given exponential equation is:
[tex]y=ab^x[/tex]
The function passes through the points (3, 25) and (8, 10)
Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]
[tex]25=ab^3[/tex]............................(1)
Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]
[tex]10=ab^8[/tex].............................(2)
Divide equation (2) by equation (1)
[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]
Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
Learn more on exponential functions here: https://brainly.com/question/12940982
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
k=6
?=24
Step-by-step explanation:
[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]
[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]
Now we just cross multiply
44(k+3)=36(k+5)
44k+132=36k+180
Take k-values to one side
44k-36k=180-132
8k=48
k=6
Now we can use k to find ?
[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]
once simplified we get:
[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]
[tex]4 = 4 = \frac{?}{6} [/tex]
in essence we know that:
[tex] \frac{4}{1} = \frac{?}{6} [/tex]
so we can cross multiply:
?=24
Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups
The required equation that represents the graph is y = x + 30
The standard linear equation is given as y = mx + b
m is the slope b is the y-interceptUsing the coordinates (20, 50) and (40, 70)
Get the slope of the line:
m = 70-50/40-20
m = 20/20
m = 1
Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.
The required equation that represents the graph is y = x + 30
Learn more on equation of a line here: https://brainly.com/question/13763238
Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x
Answer:
32/60
Step-by-step explanation:
because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)
numerator: 8*4=32
denominator: 15*4=60
final equivalent fraction: 32/60
find the value of 7u+7 given that -3u-5=4
During a sale, a store offered a 10% discount on a stereo system that originally sold for $810. After the sale, the discounted price of the stereo system was marked up by 10%. What was the price of the stereo system after the markup? Round to the nearest cent.
"Viewer discretion advised
Answer:
$801.9
Step-by-step explanation:
10% of 810 is 81
810-81 = 729
10% of 729 is 72.9, so add that back to get the extra 10%
729+72.9 = 801.9
Please give brainliest if I helped! :)
Zanele Situ is a disabled Olympic gold-medallist javelin champion. She threw the javelin a distance of 16,22 m in London at 2012 Olympics. She threw the javelin to a distance of 17,90 m in Rio at 2016 Olympics. By what percentage did the distance increase?
Answer:
10,4%
Step-by-step explanation:
The percentage change is found from ...
(amount of change)/(original amount) × 100%
(17,90 -16,22)/(16,22) × 100% = 1,68/16,22 × 100% ≈ 10,358% ≈ 10,4%
Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8
Answer:
c 146.7
Step-by-step explanation:
cuz
Kelly base 3328 cookies each year she bakes twice as many cookies in October then in the other much how many cookies does Kelly back in December
The number sentence 4 × 6 = 6×4 is an example of what property?
Answer:
communtitve property of multiplication
Simplify:(4x2 - 2x) - (-5x2 - 8x)
Answer 6x+18
Step-by-step explanation:
Convert 65/36 radians to degree.
please help I'm stuck on this question.
See picture for solution.
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answer:
-12x²-48x-42.5
Step-by-step explanation:
Mr. Jay sells a box of 15 seedlings for new trees for $12.84. Mr. Tony sells a box of 18 seedlings for $14.95. What is the cost per seedling for each person? Round your answer to the nearest cent (hundredth). Which is the better buy?
Mr. Jay’s cost $____________ per seed. Mr. Tony’s cost $____________ per seed.
Buying a box of seedlings from _____________________ is the batter buy.
Answer: Mr. Jay’s cost 85 cents and Mr. Tony’s costs 83 cents.
Step-by-step explanation:
you divide the price by how many seeds they sold.
Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)
Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)
Answer:
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Step-by-step explanation:
To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.
We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]
For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]
For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]
For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]
Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].
What is 2-b/3=-5/2
Please explain thoroughly and only explain the 2-step version
Answer:
b = 13.5
Step-by-step explanation:
2 -b/3 = -5/2
im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.
6 -b = -15/2
we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.
12 - 2b = -15
remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!
-2b = -27
finally, we can divide both sides by -2 and b will be isolated!
b = 13.5
ask me if you have anymore questions!The perimeter of a rectangle is 64m and it’s length is 3 times it’s width.what is the length of the rectangle?
so umm this is the answer
Perimeter = 2(length + width)
P = 2(L+w)
We are told the length is 3 times the width...
L = 3w
64 = 2(3w + w)
64 = 2(4w)
64 = 8w
8 = w
L = 3w = 3(8) = 24 cm
Length is 24 cm
width is 8 cm
Type the correct answer in each box.
The slope of the line shown in the graph is ___, and the y-intercept of the line is ___.
Answer:
The slope (or gradient) is 0.6 and the y-intercept is 6.
How do you make a mixed fraction and write it out as a improper fraction?
Answer:
1) Multiply the whole number part by the fraction's denominator.
2) Add that to the numerator.
3) Then write the result on top of the denominator.
Step-by-step explanation:
Hope this helps!
Answer:
Explanation
|
Step-by-step explanation:
you you multiply the whole number by the denominator and then add the numerator to that number.
5(x - 2) + x = 6(x -4)
Answer:
No solutionStep-by-step explanation:
[tex]5(x - 2) + x = 6(x -4)[/tex]
[tex]6x-10=6x-24[/tex]
[tex]6x-10+10=6x-24+10[/tex]
[tex]6x=6x-14[/tex]
[tex]6x-6x=6x-14-6x[/tex]
[tex]0=-14[/tex]
3.In the wild, a giant panda bear's diet consists primarily of bamboo, but in a zoo, the diet
includes other foods. On the first two days of the week, the giant panda bear at your zoo eats 34
pounds of highly nutritious biscuits and 37 pounds of bamboo, respectively.
Use inductive reasoning to create two possible sequences that describe the giant panda bear's
daily diet. Write the first five terms of each sequence.
First Sequence:
Second Sequence:
Describe the pattern you used to write each sequence. Which sequence do you think is more
likely? Explain your reasoning.
The sequence gives the order in which the the different types of foods are
given to the giant panda.
The possible first five terms of the sequences are;
[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]
The sequence that is more likely is the First SequenceReasons:
Inductive reasoning is the reasoning based on the given observation
What the giant panda bear at the zoo eats on the first two days of the week are;
First day; 34 pounds of highly nutritious biscuits
Second day; 37 pounds of bamboo
Given that the number of terms in the sequence = 5
By inductive reasoning, we have;
[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]
The pattern used to write the First Sequence is as follows;
Alternating diet of biscuit and bamboo, such that the panda has a balanced diet during the 5 periods of the sequence.The pattern used to create the Second Sequence is as follow;
Alternating days in which the panda has a mixed diet of biscuit and bamboo, followed by alternating single meal of bamboo and biscuit.The sequence that is more likely is the First Sequence
The reason why the first sequence is more likely is that it ensures that the panda eats adequate amount of each diet, thereby making the panda healthier, and cleaning the zoo much easier.Learn more about inductive reasoning here:
https://brainly.com/question/2192957
https://brainly.com/question/12522297
20points
Which represents the restrictions on the radical inequality
Answer:
The answer is 2x>0 is the final answer. The last one.
Step-by-step explanation:
It is greater.
Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them
Answer:
addie at 4.5 candie bars and frankie had 4
What is the value of the expression? 75÷5−[(9−7)×3]×2
Answer:
3
Step-by-step explanation:
75÷5-[(9-7)×3]×2
do innermost inclusion symbols first, which would be 9-7
75÷5-[2×3]×2
now multiply 2 and 3
75÷5-(6)×2
now divide 75 by 5
15-6×2
now multiply
15-12
3
The required simplified value of the given expression is 13.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 75÷5−[(9−7)×3]×2
Following the PEMDAS rule,
= 25 - [2×3]×2
= 25 -[6]×2
= 25 - 12
= 13
Thus, the required simplified value of the given expression is 13.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Question
Which of the following angle measures are possible for a triangle to be classified as acute? Select all that apply.
Select all that apply:
45°, 34", 101°
122, 36, 22
75°, 61°, 44°
22°, 86°, 72
Answer:
45°, 75°, 61°, 44°, 22°, 86°
Step-by-step explanation:
They have to be angles less than 90°.
Answer:
(c) 75°, 61°, 44°
(d) 22°, 86°, 72
Step-by-step explanation:
The largest angle must be less than 90°, and the sum of angles must be 180°. These conditions are met by the lists of angles shown above.
PLEASE HELP I HAVE A TIME LIMIT ON THIS!!
Help please, ill give 5 stars, and brainly ofc (if correct)
Answer:
Step-by-step explanation:
part a = 1 x 4
part b = b
Answer:
y=2x+25
the graph is B.
Step-by-step explanation:
Explain how to use the distributive property to find the product (3) (4 1/5)
Answer:
you didn’t answer my question correctly :(
Step-by-step explanation:
Find the value of x.
Answer:
9
Step-by-step explanation:
yeah, 9...........right???
1
1.
A random variable X has expected value
and probability distribution as
12
follows:
X
-3
-2
-1
0
1
N
3
f(x)
a
2a
1
1
1
b
сле
b b
2
5
10
5
(a)
(b)
Find the values of a and b.
Find E[X2 + 1].
(8 marks)
Answer:
huh
Step-by-step explanation: