Answer:
y = 21
Step-by-step explanation:
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value of b?
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
What number is the opposite of
3/11
O A. - 3/11
O B. -11/3
C. 11/3
O D. 1/3
Answer:
I believe the answer is A.
Geologists collected some rock samples. Of the 12,000
grams of ore they collected, about 600 grams contain a
valuable mineral
What is the concentration of the mineral in the
sample?
5%
6%
50%
60%
Answer:
5%
Step-by-step explanation:
600 / 12000 = .05
Answer:
2 %
Step-by-step explanation:
The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?
If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z.
y is z less than x.
y is z more than x.
x is y less than z.
x is y more than z.
Answer:
C. x is y less than z
Step-by-step explanation:
x+y=z
by using transposition
x = z-y
whatever x is, it is equal to the value of y taken from z
What is the value of the expression when a=3 and b=4
Answer:
The equation
Step-by-step explanation:
I need the equation so I can answer your question.
TRUE OR FALSE
There are whole numbers that are not integers.
All rational numbers are whole numbers.
All integers are whole numbers.
All integers are rational numbers.
Hope you could get an idea from here.
Doubt clarification - use comment section.
I need help plz I've tried so many ways :(
Answer:
Below in bold.
Step-by-step explanation:
0.3. e^3x = 27
Taking logs of both sides:
ln (0.3. e^3x) = ln 27
ln (0.3) + ln e^3x = ln 27
ln e^3x = ln 27 - ln(0.3)
3x = ln 27 - ln 0.3
3x = ln(27/0.3) = ln 90
x = 1/3 ln 90
x = ln (90^1/3)
Approximate value of x:
= 1.499936557
= 1.500 to the nearest thousandth.
multiply (2x+3y)(x-y)
Answer:
2x^2 +xy - 3y^2
Step-by-step explanation:
2x(x-y) +3y(x-y)
2x^2+xy - 3y^2
erica takes the bus to work. the bus ride to work costs her $2.00 each time. She could buy a bus pass for a one-time fee of $15 and would only pay $1.00 each time to ride the bus. how many times would she have to take the bus in order for the cost to be the same?
Answer:
i think 15 times
Step-by-step explanation:
2×x = 15+(1×x)
2x = 15+x
x = 15
Write an equation of the perpendicular bisector of the segment with endpoints (3,-7) and (-5,3) writing non-integers as simplified fractions:
Answer:
Step-by-step explanation:
Pls help me I’m super confused
PLEASE HELP!!!!!!!!!
Which of the following are properties of parallelograms? Select all that apply!
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Both pairs of opposite sides are congruent.
Both pairs of opposite of angles are congruent.
Answer:
If I have to guess, I’ll say
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Answer:
Consecutive angles are supplementary.
Both pairs of opposite of angles are congruent.
Both pairs of opposite sides are congruent.
Step-by-step explanation:
I took the quiz and this was the correct answer.
What is 180 in./sec in m/min?
274.32 is the answer. Tell me if I need to be more precise.
question in file .
give me brainlg anserf
Explanation
Formula to be used,
1st equation of motion, v = u + at • 3rd equation of motion,v² - u² = 2 asSolution,
Putting all the values, we get
v=u + at
⇒0 = u + (-0.5) × 20
⇒-u=-0.5 × 20
⇒u = 10 m/s
Hence, the initial velòcity of the car is 10
city of the car is 10m/s.
Now, the distance covered,
v²-u² = = 2as
⇒ (0)²-(10)² = 2 × (-0.5) × s
⇒-100 = - 1s
⇒ s = 100 m
Hence, the distance covered is 100 m.
Consider the equation below.
Determine which equation has the same solutions as the given equation.
A.
B.
C.
D.
Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
represented by a function. What is the range of the function?
Answer:
{0, 50, 100, 150, ..., 350, 400}
Step-by-step explanation:
The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.
{0, 50, 100, 150, ..., 350, 400}
_____
The expression for f(x) is ...
f(x) = initial balance - (rate of withdrawal) × (time period)
f(x) = 400 -50x
This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."
However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.
Choose the symbol that correctly compares the fractions below.
Answer: A. ( > )
Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.
This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)
Answer:
1950-1980
Step-by-step explanation:
...........
Solve 3x-5 + x= 31.
09
0-12
O 12
[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]
What isa cookoo bird clock thingie mabob
Answer:
Step-by-step explanation:
Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book
Answer:
Step-by-step explanation:
Let P be the number of pages
First day reads P/9 pages
Second day reads 24 pages
two days reading is P/5 (1 page read for every 4 pages left)
P/9 + 24 = P/5
P + 24(9) = 9P/5
5P + 24(9)(5) = 9P
1080 = 4P
P = 270 pages
There are 270 pages in this book.
Given that,
Emily reads a storybook the first day,
She reads 1/9 of the whole book, and on the second day, she reads 24 pages.
The ratio of the number of pages read to the remaining pages in the two days is 1:4.
We have to find
How many pages are there in this book?
According to the question,
Let, P is the number of pages,
The first day Emily reads p/9 pages of the whole book,
And the second day she read 24 pages.
The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.
Therefore,
The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days
[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]
Hence, there are 270 pages in this book.
For more details refer to the link given below.
https://brainly.com/question/14505922
correct?````````````````````````````
Given the linear equation y = -3x
identify the initial value and rate of change
Hurry timed test!!
Answer:
here you go. hope u past the test
Step-by-step explanation:
I hope it's helpful :)
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION
Answer:
w = 5
Step-by-step explanation:
Step 1: Use the Distributive property to get 6w + 30.
Step 2: Divide 6w by 6 and cancel out both 6s.
Step 3: Divide 30 by 6 to get 5, and you have the answer.
is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)
Answer:
Step-by-step explanation:
This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)
In this relation, -6 is paired up with four different y-values (four different partners!)
If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.
To be a function, every x can only have one y partner.
Leah goes to Buffalo Wild Wings for lunch. Her total bill was $35.50. She wants
to leave a tip that is 18% of the total bill. How much should she leave for the
server? How much did she spend in all?
Answer:
$41.89
Step-by-step explanation:
18% of %35.50 is $6.39.
$6.39+$35.50= $41.89
Answer:
She should leave $6.39 tip for the server. She paid $41.89 in all. Hope this helped! if the answer is wrong im super sorry!
Step-by-step explanation:
0.18 x 35.50 = 6.39
6.39 + 30.50 = 41.89
what is -5.3125 in The real Number System?
Answer:
It'd be a rational number
Step-by-step explanation:
Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.
Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.
Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.
A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context
use this equation:
b+t+3+4
How do u do these percentages questions
Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.
Henry and Jose are gaining weight for football. Henry weighs 205 pounds and is gaining 2 pounds per week Jose weighs 195 pounds and is gaining 3 pounds per week.
Write an equation to represent when the weights will be the same. Let w represent the number of weeks.
what would be the equation?
Answer:
205+2w=195+3w
Step-by-step explanation:
:)
The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.
Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,
y = 2w + 205
y = 3w + 195
If the weight becomes the same. Then the number of weeks is given as,
3w + 195 = 2w + 205
Simplify the equation, then we have
3w + 195 = 2w + 205
3w - 2w = 205 - 195
w = 10
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2