The required exponential function f(x) = (16)(2)ˣ which passes through the points (0, 16) and (4, 256).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
Let the formula for an exponential function would be as
⇒ f(x) = abˣ
The exponential function passes through the two points (0, 16) and (4, 256)
f(0) = 16
f(4) = 256
16 = ab⁰
16 = a
256 = ab⁴
Substitute the value of a = 16 in the above equation,
256 = ab⁴
256 = 16b⁴
b⁴ = 256/16
b⁴ = 16
b⁴ = 2⁴
b = 2
Substitute the value of a = 16, and b = 2 in the equation f(x) = abˣ,
⇒ f(x) = (16)(2)ˣ
Therefore, the required exponential function f(x) = (16)(2)ˣ
Learn more about exponential function here:
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An investment of 8,500 has an annual interest rate of 6.6%...... (Continues in screenshot) (please explain)
Answer:
C) A = 8500(1.0165)^16
Step-by-step explanation:
A = P(1 + r/n)^nt where 'n' is # times compounded and 't' is time in years
A = 8500(1 + (.066/4))^4·4
A = 8500(1 + 0.0165)^16
Help me this question is very confusing no wrong answers please
Answer:
10
Step-by-step explanation:
maximum= most walked
then minimum would be least amount walked
Answer:
Answer = 10
Step-by-step explanation:
Mark me as Brainliest
Create a Pythagorean theorem equation for the diagram then solve the unknown sides. If necessary, rounded to decimal places.
The value of the unknown side using the Pythagorean theorem to two decimal places is 5.39.
What is the value of the unkown side?
The Pythagorean theorem would be used to solve for the unknown side.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse√5² + 2²
√25 + 4
√29 = 5.39
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
The question is in the image i provided. I will mark brainliest!
Answer:
B
Step-by-step explanation:
What is the perimeter of the triangle?
Answer:
this triangle is a acute angel so it 3
-5-4-3
3
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Answer:
[tex]Interval = (-2,1.5)[/tex]
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Increasing interval
To do this, we simply identify the interval at which the value of the graph increases.
The value has an increased interval between -2 and 1.5 (of the x-axis).
Hence, the increasing interval is:
[tex]Interval = (-2,1.5)[/tex]
Solving (b): Decreasing interval
To do this, we simply identify the interval at which the value of the graph decreases.
The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).
Hence, the decreasing interval is:
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
Find the length of side XZ 12.6cm 29°
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = = =
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = ≈ 14. 4 ( to 3 sig. figs )
Answer:
14.4
Step-by-step explanation:
f(x)=3x2+1
What is the value of y when x is equal to 0?
Hint: f(0)=3(0)2+1
please help
me on this math problem
Answer:
12 feet
Step-by-step explanation:
[tex] \sin(41.5) = \frac{8}{x} [/tex]
[tex]x \sin(41.5) = 8[/tex]
[tex]x = \frac{8}{ \sin(41.5) } [/tex]
[tex]x = 12 [/tex]
(rounded to the nearest whole foot)
if pablo does a experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times
Why?
Answer:
As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.
Step-by-step explanation:
This is the sample for edmentum so you might to change it up a bit! Hope this help. <33
Factorise the following:
a² - 144
Answer:
[tex]( a+ 12)(a - 12)[/tex]
Step-by-step explanation:
[tex] {a}^{2} - 144[/tex]
[tex] {a}^{2} - {12}^{2} [/tex]
Since both terms are perfect squares, factor using the difference of squares formula,
[tex] {a}^{2} - {b}^{2} = ( a+b )(a - b)[/tex]
where a=a and b=12.
[tex](a+ 12)(a - 12)[/tex]
Hope it is helpful....Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 35 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.7; H1: p ≠ 0.7
H0: p = 0 .7; H1: p < 0.7
H0: p < 0 .7; H1: p = 0.7
H0: p = 0.7; H1: p > 0.7
H0: p ≠ 0.7; H1: p = 0.7
(b) What sampling distribution will you use?
The Student's t, since np < 5 and nq < 5.
The standard normal, since np < 5 and nq < 5.
The standard normal, since np > 5 and nq > 5.
The Student's t, since np > 5 and nq > 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?
At the = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.
At the = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
There is sufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 15 to 34 in Rock Springs differs from 70%.
There is insufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 15 to 34 in Rock Springs differs from 70%.
Answer:
a) Level of significance [tex]\alpha = 0.01[/tex]
b) Standard normal
[tex]p = 0.75[/tex]
[tex]Z = 0.62[/tex]
c)
[tex]P = 0.5352[/tex]
d)
[tex]P > \alpha[/tex]
e) We fail to reject null hypothesis
Step-by-step explanation:
Let us say
The null hypothesis H_0 is p= 0.70 which means that Probability of arresting male of age ranging between 15 to 34 years is 0.7
Alternate hypothesis H_1 is p not equal to 0.7 which means that Probability of arresting male of age ranging between 15 to 34 years is not equal to 0.7
a) For 1% level of significance [tex]\alpha = 0.01[/tex]
b) Standard normal
[tex]n_p > 5\\n_q >5[/tex]
[tex]p = \frac{24}{32} = 0.75[/tex]
[tex]Z = \frac{(0.75-0.70)}{\sqrt{\frac{(0.7*0.3)}{32} } } = 0.62[/tex]
c)
[tex]P = 2 * 0.2676 = 0.5352[/tex]
d)
[tex]P > \alpha[/tex]
e) We fail to reject null hypothesis
Hence, there is not enough data to prove that at 1% level of significance the probability of number of male arrested between age 15-34 is 0.70
Find the value of 1
and 1/10-1/5
9514 1404 393
Answer:
9/10
Step-by-step explanation:
(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10
__
1.1 -0.2 = 0.9 = 9/10
If I had $370 in my dad gave me 150 and my mom gave me 150 in my head and uncle gave me 100 and I had 30 how much money do I have
If (-1, y) lies on the graph of y = 2²x, then y =
Answer: look at the picture
Step-by-step explanation: Hope this help :D
What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1
Answer:
Step-by-step explanation:
hello :
use identity : a²-b²=(a-b)(a+b)
(2x+1) (2x-1)= (2x)²-1 =4x²-1
What is the diameter of a hemisphere with a volume of 877 m^3 to the nearest tenth of a meter?
Answer:
15.0
Step-by-step explanation:
It’s on deltamath
Select all TRUE statements about a box plot.
A. You can find the median.
B. You can find the mean.
C. You can find the range.
D. You can tell if the data is generally symmetrical or not.
Please help me, awarding brainliest to the best answer.
Answer:
A
Step-by-step explanation:
Statistical questions give data of multiple accounts.
15,000 invested at a rate of 4.8% compounded monthly. Write a compound interest function to model the situation . Then find the balance after 2 years.
Answer 565
Step-by-step explanation:
Answer: $46,212.77
Step-by-step explanation: The formula for a compound interest function is A=P(1+r/n)^nt
P=15,000, r=.048, n=1, and t=24. The reason the time is 24 and not 2 is because it is going by months, 2 would just put the answer 2 months ahead and not 2 years. There are 12 months in a year, and 24 months in 2 years. This leads the equation to be: A=15,000(1+.048/1)^(1x24) and the steps to solving it as:
1) A=15,000(1+.048/1)^(1x24) | Add 1 and .048
2) A=15,000(1.048)^24 | Multiply the exponent
3) A=15,000(3.08085162) | Multiply
4) A=46,212.7743 | Round the nearest hundredth
5) A=46,212.77 | Convert to money
6) $46,212.77 | That’s the answer
i don't smile for the camera, (finish the rest correctly u get brainliest)
Step-by-step explanation:
only smile for youuuuuuuu
Answer:
I only smile for the money, lol
Step-by-step explanation:
Which equation has roots -3 and 4
Answer:
x^2 - x - 12 (this is the second answer choice)
Step-by-step explanation:
Multiply (x + 3)(x - 4) and simplify the result:
x^2 - 4x + 3x - 12, or x^2 - x - 12 (this is the second answer choice)
Is this correct? Can someone please help me!!
What is the product of the expressions (3)(−2)(−5)(7)?
Answer:
210
Step-by-step explanation:
3*10*7
30*7
210
Remember when multiplying even number of negative terms, it cancels out the negative.
6 (n-3) - 2n = 10
Pleasee help
Answer: n = 7
(this website may help: https://www.symbolab.com/)
Step-by-step explanation:
The manufacturer of a new kind of granola bar needs to find the surface area in order ti design the wrapper the granola bar is the shape of a rectangular prism it is 12.0 long and 6.5 cm wide and 1.25 hight. To the nearest tenth, which is the surface area of the granola bar?
A. 97.5 cm
B. 101.1 cm
C. 118.5 cm
D. 202.3 cm
Answer: D
Step-by-step explanation: I just did this
What is the total surface area of the rectangular pyramid below?
Answer:
c. SA = 596 ft²
Step-by-step explanation:
Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces
Base area = length × width
Length = 16 ft
Width = 12 ft
Base area = 16 × 12 = 192 ft²
Area of the 2 lateral faces with the following dimension:
base = 12 ft
height = 15 ft
Area = 2(½bh) = 2(½*12*15) = 180 ft²
Area of the 2 lateral faces with the following dimensions:
base = 16 ft
height = 14 ft
Area = 2(½*14*16) = 224 ft²
✅Total surface area = 192 + 180 + 224 = 596 ft²
What is the solution to the equation?
a+5 2/3=9
PLEASE HELP!!!!
Answer:
a = -25
Step-by-step explanation: a+ 52/3 =9
multiply both sides by 3
3(a+52)/3 = 9.3
Simplify
a+52=27
Subtract 52 from both sides
a+52-52=27-52
Simplify
a= -25
Please help me by completing the system of equations here
there is equation 1:
-10y+9x=-9
and equation 2:
10y+5x=-5
needed ASAP
Can anyone help me? I am stuck on this question! it would mean the world if u helped me! <3
Answer:
I think the answer is 12
Step-by-step explanation: