Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=4^x[/tex]
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]
[tex]k=0[/tex]
In other words, the range is all positive real numbers.
Thus,
[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)
Answer:
49
Step-by-step explanation:
49 + 14 = 63
so that means:
x = 49
What’s three more than seventeen?
Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -170 feet. Then she continued to hike down another 20 minutes at a different rate. Her change in elevation for this part of the hike was -260 feet. During which portion of the hike did she walk down at a faster rate?
PLEASE HELP
where do i place the dots/arrows? will give brainliest!!!
Answer:
Step-by-step explanation:
first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.
Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?
x
x − 1
2x − 3
3x − 2
Answer:
3x - 2
Step-by-step explanation:
3 times Kim's age (x), so 3x; minus 2 years (Sam's age).
Answer:
The answer is 3x - 2 :)
Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 57 and 65? Round your
answer to the nearest tenth of a percent.
A.66.8%
B.67.8%
C.69.8%
D.68.8%
Answer:
0.66772
Step-by-step explanation:
Given that :
Mean (m) = 62
Standard deviation (s) = 4
probability that a data value is between 57 and 65
P(57 < x < 65)
Using the relation :
(x - m) / s
P(x < 57) :
(57 - 62) / 4 = - 1.25
P(Z < - 1.25) = 0.10565 ( Z probability calculator)
P(x < 65) :
(65 - 62) / 4 = 0.75
P(Z < 0.75) = 0.77337 (Z probability calculator)
P(Z < 0.75) - P(Z < - 1.25)
0.77337 - 0.10565 = 0.66772
Answer:
66.8%
Step-by-step explanation:
Just took the test
0.5= x djdododododododdodod
Answer:
25
Step-by-step explanation:
cuz
HELP ASAP PLEASE LEAVE SMALL EXPLANATION ITS DUE RLLY SOON
Answer:
1. y=3x-4
2. y=-3x+4
3. y= -1/3x+4
4. y= 1/3x-4
Step-by-step explanation:
1. slope= change in y/ change in x
slope= -1-(-4)/1-0=3
y=3x+b
-4=3(0)+b
b=-4
y=3x-4
2. slope=4-10/0-(-2)= -3
y=-3x+b
b=4
y=-3x+4
3. slope= -1/3
y=-1/3x+b
3= -1/3(3)+b
3= -1+b
b=4
y= -1/3x+4
4. y= 1/3x-4 (last one)
In a baseball game, Elena scored twice many pints as Tyler.Tyler scored four points fewer than Noah, and Noah scored three times as many points as Mai. If Mai scores 5 points, how many did Elena scored?
Answer:
Elena scored 22 points.
Step-by-step explanation:
Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.
A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)
If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.
What is the observed frequency of her 6th season?The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:
Expected frequency = (65/100) * 150 = 97.5
The observed frequency of successful free throws in the 6th season is 105.
To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:
z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))
total sample size = 150
expected frequency = 97.5
observed frequency = 105
z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28
The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.
Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.
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Is this inequality true? I -4 I > -4 ?
Answer:
no its false its equal
Step-by-step explanation:
-4 isnt greater or > than -4 it's the exact same
I need the answer ASAP, i will give you brainliest FR‼️‼️⁉️
Answer:
well for me I think
Step-by-step explanation:
+10
T=-4.3+10
T=5.7°C
Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?
Answer:
The lines will not intersect, because this system has no solutions
Step-by-step explanation:
Answer:
They will not intersect!
Step-by-step explanation:
A-P-E-X
Find θ. Round to the nearest degree. Right Triangle Trigonometry.
Answer:
64 =theta
Step-by-step explanation:
We have a right triangle.
We know the adjacent side and the hypotenuse
adjacent/ hypotenuse = cos theta
7/16 = cos theta
Take the inverse cos of each side
cos ^-1 ( 7/16) = cos ^ -1 cos theta
64.05552023 = theta
64 =theta
Answer:
≅ 64°
Step-by-step explanation:
using rule of cos invers
[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]
Find the errors and identify them
1. (x) (Ew) (y) (Abaxwy v (Ez) Bzzxy) p
2. ~Abaawc p
3. (Ew) (y) (Abaawy v (Ez) Bzzxy) UI, 1
4. (y) (Abaawy v (Ez) Bzzxy) EI, 3
5. Abaawc v (Ez) Bzzxy UI, 4
6. (Ez) Bzzxy DS 2,5
7. Byyxy EI, 6
8. (x) Byyxy UG, 7
9. (x) Byyxy v ~Axxaabb ADD 8
10. (Ez) ( (x) Byyzy v ~ Azzaabb) EG, 9 g
Answer:
this is confused me so much is it supposed to be a trick or is that a actual question-
42. Which of the following is TRUE about the princal square riot
number?
A. always positive
C. sometimes positive
B. always negative
I sometimes negative
Answer:
a. always positive
Step-by-step explanation:
Alex learning?
1 4/7
_______
- 15/ 21
Answer: -11/5
Step-by-step explanation:
[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]
-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]
-11×[tex]\frac{3}{15}[/tex]
-11 × [tex]\frac{1}{5}[/tex]
Pls help I’ll mark brainliest
PLZ answer the QUESTION IF U KNOW THE ANSWER
what two properties were using this equivalent expression
Yesterday, a movie theater sold 305 bags of popcorn. A large bag of popcom costs SA. A small bag of popcorn costs $1. In all, the movie theater made 5632 from popcom sales. Wite and solve a system of equation to find low
many bags of each size of popcom were sold.
The movie theater sold large bags of popcom and small bags of popcom.
Answer:
how much was popcorn u have sA
Complete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10
Answer:
∆DPL ~ ∆QAZ
Step-by-step explanation:
In the diagram given, the following can be deduced:
<D is congruent to <Q
<P is congruent to <A
<L is congruent to <Z
From these, looking at the letter arrangement, the similarity statement can be written as:
∆DPL ~ ∆QAZ
Anyone can answer?? if u can thank u soooo much it means the world to me
Answer:
Tulips• 7, 14, 21, 28 and 35.
Carnations• 3, 6, 9, 12 and 15.
Other:
Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!
Make h the subject of the formula x = 5h + 8
Answer:
h=(x/5)-8
Step-by-step explanation:
i hope that helps
Formula for h is, h = 1/5 (x - 8).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The formula is,
⇒ x = 5h + 8
Now, We can solve the formula for h as;
⇒ x = 5h + 8
Subtract 8, we get;
⇒ x - 8 = 5h + 8 - 8
⇒ x - 8 = 5h
Divide by 5;
⇒ 1/5 (x - 8) = h
⇒ h = 1/5 (x - 8)
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The lines below are parallel if the slope of the solid line is 4,what is the slope of the gas line?
Answer:
We conclude that the parallel lines are equal and the slope of the gas line is:
m₂ = 4Step-by-step explanation:
We know that the lines are parallel if the slope of both lines is equal.
In other words,
If m₁ = m₂, then the lines will be parallel.Now,
Given that the slope of the solid line = m₁ = 4
As the parallel lines have equal slopes.Thus,
The slope of gas line = m₂ = 4
as
m₁ = m₂
Therefore, we conclude that the parallel lines are equal and the slope of the gas line is:
m₂ = 4Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for men and women are both 20. Assume the Anger-Out scores for both genders are normally distributed. Given this information about the population parameters:
(a) What is the mean of the sampling distribution of the difference between means?
(b) What is the standard error of the difference between means?
(c) What is the probability that you would have gotten this mean difference or less in your sample?
Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
Evaluate Ss 15 51 when s =
5 and t = 7.
Estimate the value of y when x=2.5
The sum of 2 numbers is 892. One of the numbers is 363. What is the other number
Answer:
529
Step-by-step explanation:
892-363=529
529+363=892
Final Answer: [tex]529[/tex]
Steps/Reasons/Explanation:
We will write down the equation [tex]892 = x + 363[/tex] because we would need to get [tex]x[/tex] by itself. Doing this will make us able to find the other number.
Question: The sum of 2 numbers is 892. One of the numbers is 363. What is the other number?
Step 1: Subtract [tex]363[/tex] from both sides.
[tex]892 - 363 = x[/tex]
Step 2: Simplify [tex]892 - 363[/tex] to [tex]529[/tex].
[tex]529 = x[/tex]
Step 3: Switch sides.
[tex]x = 529[/tex]
~I hope I helped you :)~
Write the slope-intercept form of the equation of the line through the given point and slope.
Point: (-1, 2)
Slope: 1.
Answer:
y=x+3
Step-by-step explanation:
same as the last one =)
plz help this is very confusing
Answer:
[tex] x \ge 15 [/tex]
Step-by-step explanation:
An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.
Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.
Thus, using inequality, this can be represented as:
[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]
Solve for x
[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]
Add like terms
[tex] 8x + 17 \ge 137 [/tex]
Subtract 17 from both sides
[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]
[tex] 8x \ge 120 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]
[tex] x \ge 15 [/tex]