Problem 1
If 0 < b < 1, then we have exponential decay. The curve will decrease downhill as you move from left to right.
If b > 1, then we have exponential growth and the curve goes uphill as we move from left to right.
Examples: y = 2(0.5)^x is exponential decay while y = 2(1.2)^x represents exponential growth.
Note that the base b cannot be negative.
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Problem 2
Plug x = 0 into the general template given
y = a(b)^x
y = a(b)^0
y = a(1)
y = a
Plugging x = 0 leads to the output y = a
Therefore, the point (0,a) is on the curve. This is the y intercept. It's where the curve crosses the y axis. If you change the value of 'a', then you change the y intercept.
Examples:
y = 2(5)^x has y intercept 2y = 3(0.8)^x has y intercept 3Help me PLEASEEEEEEEEEEEEE
Answer:
D. 144
Step-by-step explanation:
Find volume of shipping container:
2 2/3 = 8/3
2 x 1 = 2
8/3 x 2/1 = 16/3
Find volume of cube:
1/3 x 1/3 = 1/9 x 1/3 = 1/27
Find how many boxes fit in container:
16/3 ÷ 1/27
16/3 x 27/1
Simplify:
16/1 x 9/1 = 144/1
Answer: 144
Find the value of x in the figure at the right. Please help!
9514 1404 393
Answer:
x° = 88°
Step-by-step explanation:
The sum of interior angles of a hexagon is 180°(6 -2) = 720°. The unknown angle is found by subtracting known angles from the total.
x° = 720° -172° -120° -95° -120° -125°
x° = 88°
Answer:
[tex]\large \sf {\underline{\underline{ \fcolorbox{j}{g}{x = 88 °}}}}[/tex]
Step-by-step explanation:
We know that
➟ The sum of interior angles of a hexagon is 180° × ( 6 - 2 ) = 720 °
Now add all the angles that are given in the question and subtract from the total angles and we get the unknown number .
let unknown number be x.
720 ° - 172 ° + 120 ° + 120 ° + 125 ° + 95 ° = x °720 ° - 632 ° = x°88 ° = x–––––––––☆––––––––––You fllp a fair coln 7 times in a row. Let X be the number of heads that come up. Which of the following cannot be a
possible value of X?
2
0
7
16
Answer:
16
Step-by-step explanation:
Given
A coin
[tex]n = 7[/tex] --- Number of flips
[tex]x \to heads[/tex]
Required
Which can't be the value of x
From the question, we understand that the coin was flipped 7 times.
This means that, the highest occurrence of head is:
[tex]x = 7[/tex]
And the list is:
[tex]x = 0[/tex]
So, the range of x is:
[tex]x = \{0,1,2,....,7\}[/tex]
In the above range, only (16) is out of range.
Hence:
[tex]x \ne 16[/tex] --- Number of heads can't be 16
Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.
Answer:
[tex]f'(x) = -28 \ at \ x = 2[/tex]
Step-by-step explanation:
[tex]f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\[/tex]
[tex]= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28[/tex]
Which answer choice below best describes the number (22 + 6)
Answer:
You FAILED to include any choices.
Step-by-step explanation:
Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.
9514 1404 393
Answer:
no
Step-by-step explanation:
Triangle ABC has angle measures ...
A = 18°B = 110°C = 180° -18° -110° = 52°Triangle DEF has angle measures ...
D = 52°E = 18°F = 180° -52° -18° = 110°Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...
ΔABC ~ ΔEFD
The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.
Suppose we want to choose 5 letters without replacement from 16 distinct letters
Answer:
16P5
Step-by-step explanation:
16*15*14*13*12
Find the missing angle
Answer and Step-by-step explanation:
First, solve for the angle TRS, so that we can find the missing angle.
Subtract the two angles from 180 (because all triangle's angles add up to 180).
180 - 58 - 60 = 62.
By the vertical angles theorem, 62 is equal to the missing angle.
#teamtrees #PAW (Plant And Water)
Can anyone solve this? I'm kind of stuck! Thank you!
Answer:
B
Step-by-step explanation:
0.25 (2d + 1) = 0.25(2d) + 0.25(1)
= 0.50d + 0.25
Answer:
The expression 0.25(2d+1) is equivalent
equivalent go 0.50d +0.25.
Step-by-step explanation:
If yoy simplify the expression if will be 0.5d+0.25
A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!
Answer:
456,796 passwords
Step-by-step explanation:
Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords
if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (2, 3 ) → A' (- 2, 3 )
B (4, 5 ) → B' (- 4, 5 )
C (6, 2 ) → C' (- 6, 2 )
A car company invests $200,000 in developing auto-car software. Each software costs $150 to produce and
sells for $400. How many software must the company sell break-even? Determine the break-even point.
Refer to the Cost and Revenue equation.
Answer:
Break even unit = 800
Break even point = $320,000
Step-by-step explanation:
Given:
Amount invested (Fixed cost) = $200,000
Each software cost (variable cost) = $150
Selling price = $400
Find:
Break even unit
Computation:
Assume;
Break even unit = a
Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]
Total cost = 200,000 + 150a
Total revenue = Selling price[Break even unit]
Total revenue = 400a
So,
400a = 200,000 + 150a
250a = 200,000
Break even unit = 800
Break even point = 400a
Break even point = 400(800)
Break even point = $320,000
the perimeter p of a square is 4 times the length of a side x
Answer:
p = 4x
Step-by-step explanation:
The perimeter p of a square is 4 times the length of a side x
p = 4x
Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.
Answer:
t=9/10 Hope that helped
You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population
Answer:
The 98% confidence interval for the mean of the population is (59, 68.2).
Step-by-step explanation:
Before building the confidence interval, we need to find the sample mean and the sample standard deviation.
Sample mean:
[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]
Confidence interval:
We have the standard deviation for the sample, and thus, we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59
The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.
The 98% confidence interval for the mean of the population is (59, 68.2).
Pls help me on this due today plssss!!!
Answer:
Step-by-step explanation:
A+B+C+D=360 degree (being one complete turn)
360 degrees
Step-by-step explanation:
because it a venticular angle you one side(180) and the other side (180) given you 360 degrees
help!!!!!!!!!!!!!!!!!!!
Answer:
D. 1/5
Step-by-step explanation:
Because
0.2222...>0.2>0.12
Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?
Answer:
6 m
Step-by-step explanation:
The diagrammatic illustration of the problem. Is attached
The diaabcw between Aaron and Jessica can be obtained using Pythagoras :
d = √(10² - 8²)
d = √100 - 64
d = √36
d = 6
Solve the formula Ax + By = C for X
Answer:
Step-by-step explanation:
Ax+By=C
Ax=C-By
x=C-By/A
What is -4.5 need help pls help fast I will give u a brilliant and thank
Answer:
its -4.5??? what is the question you're asking
Help!!!!!!!!!!!!!!!!!
Answer:
the answer is one hundred and eight 108
Step-by-step explanation:
108 bro trust me
Use the formula C = 2nr and = 3.14 to find the circumference of a circle with a radius of 5 meters
Answer:
31.4
Step-by-step explanation:
C = 2 x 3.14 x 5
C = 10 x 3.14
C = 31.4
what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.
Answer:
40.84 to nearest hundredth.
Step-by-step explanation:
C = pi * d
= pi * 13
= 40.8407
USE TABLE AOR TABLE RFOR
SERVING UP A LARGE FEAST?
96"
42"
A А
B
R=45"
SHOW AN EXPLANATION ON WHICH TABLE YOU CHOOSE!!!
Answer:
use table B
Step-by-step explanation:
the perimeter of table A =
2×(96+42) = 2× 138 = 276 inches
the perimeter of table B =
2×3.14×45 = 282.6 inches
table B > table A
Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.
Answer:
the common difference is 10
Find the measure of the arc,
mEDF = 124°
Steps
360 = 146 + 90 + x
360 = 236 + x
-236 -236
124 = x
Answer:
m(EDF) = 214°
Step-by-step explanation:
GIVEN :-
Measure of minor arc FE = 146°Measure of minor arc DE = 90°TO FIND :-
Measure of major arc FE (also known as arc FDE)FACTS TO KNOW BEFORE SOLVING :-
Sum of all angles in a circle is 360°.SOLUTION :-
According to the figure given in question ; in the orange circle ,
m(minor FE) + m(minor DE) + m(minor FD) = 360°
⇒ 146° + 90° + m(minor FD) = 360°
⇒ m(minor FD) = 360° - 236° = 124°
∴ m(major FE) [or] m(EDF) = m(minor DE) + m(minor FD) = 90° + 124° = 214°
What is 17 % of 3,000?
Answer:
510
Step-by-step explanation:
17% of 3000 would be 17 in 30 hundreds, think about it that way
which expression is equivalent to (5^-2) ^5 x 5^4
Answer:
6.4 × 10 ^-5
Step-by-step explanation:
(0.04)^5 × 625 = 6.4 × 10^-5 (6.4e-5)
Please someone can help me...
Answer:
C
Step-by-step explanation:
Although I don't see the graph, I will assume it's a graph about the relationship between time and distance walked.
Here's the logic:
If you walk a longer time, your distance increases.
Make a box-and-whisker plot for the data:
36, 39, 39, 41, 43, 49, 61, 64
a. smallest value 36
b. Quartile 1: 39
c. Median: 42
d. Quartile 2: 55
e. greatest value: 64
The five number summary you wrote out is correct.
The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).
The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.
The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16
Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.
The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.
I used GeoGebra to create the box-and-whisker plot.
Answer:
The data and 5-number summary is given.
Based on the 5 numbers we have the attached box-and-whisker plot.