Answer:
The base is: [tex]3 \sqrt[3]{4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]
Required
The base
Expand 108
[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]
Rewrite the exponent as:
[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]
Expand
[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]
[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]
Rewrite as:
[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]
An exponential function has the following form:
[tex]f(x)=ab^x[/tex]
Where
[tex]b \to base[/tex]
By comparison:
[tex]b =3 \sqrt[3]{4}[/tex]
So, the base is: [tex]3 \sqrt[3]{4}[/tex]
Mike forgot the last three digits of his friend's telephone number. He only remembers that the digits are not the same. What is the probability he dials the correct telephone number on the first try
Answer:
1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order of the digits is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
One correct number, so [tex]D = 1[/tex]
Total outcomes:
3 non-repeated digits, so permutations of 3 digits from a set of 10(all digits). So
[tex]T = P_{10,3} = \frac{10!}{7!} = 10*9*8 = 720[/tex]
What is the probability he dials the correct telephone number on the first try?
[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]
1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.
what units are used to calculate distance
Answer:
Step-by-step explanation:
Miles
Classify the triangle by its angles and sides.
acute isosceles
acute scalene
equiangular equilateral
obtuse isosceles
Answer:
equiangular equilateral
all sides are equal
The proportion of all high school students who watch national news is p = 0.47. A random sample of 50 high school students is selected. Which of the following is the mean of the sampling distribution of p hat ? Mu Subscript p hat = p = 0.47 Mu Subscript p hat = n p = 50 (0.47) = 23.5 Mu Subscript p hat = 1 minus p = 1 minus 0.47 =0.53 Mu Subscript p hat = n (1 minus p) = 50 (1 minus 0.47) = 26.5
The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p = 50 (0.47) = 23.5
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.
We have to given that;
The proportion of all high school students who watch national news is p = 0.47.
And, A random sample of 50 high school students is selected.
Hence, By definition we get;
The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p
= 50 (0.47)
= 23.5
Thus, The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p = 50 (0.47) = 23.5
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
please answer both questions thanks
Answer:
3. sin(43) = a/17
a = 17sin(43)
= 11.594
≈ 11.6
4. sin(35) = 6/b
b · sin(35) = 6
b = 6/sin(35)
= 10.46
Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4
Answer:
(-4) ^6
Step-by-step explanation:
(-4)*(-4)*(-4)*(-4)*(-4)*(-4)
There are six (-4)'s multiplied together
(-4) is the base and 6 is the exponent
(-4) ^6
Find the volume of the prism.
Answer:
Its A.
Step-by-step explanation:
remember its rectangle 1 + rectange 2.Once i did that i have seen the total volume must be greater then answer B
so it must be a
Complete the function table. i really need help please
Answer:
Here ya go
Step-by-step explanation:
Which of the following questions are statistical? A. How many hours did you sleep last night. B. How many hours did the students in your class sleep last night. C. How many hours did your friend spend reading last night. D. How many hours did your teacher spend reading on Saturday.
Which of the following rational functions is graphed below?
A. F(x) =1/(x-4)^2
B. F(X) =1/(x + 4)^2
C. F(X) = 1/4x^2
D. F(x) = 4/x^2
Answer to your question is B. f(x)= 1/(x+4)^2
The equation of the rational function is f(x) = 1/(x + 4)^2
How to determine the graph?From the figure, we have the following property:
Vertical asymptote at;
x = -4
Add 4 to both sides
x + 4 = 0
Square both sides
(x + 4)^2 = 0
The above means that the denominator of the equation of the graph is (x + 4)^2
So, we have:
f(x) = 1/(x + 4)^2
Hence, the equation of the rational function is f(x) = 1/(x + 4)^2
Read more about rational function at:
https://brainly.com/question/1851758
#SPJ6
A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the GREATEST allowable thickness of the metal square?
A. 0.0002 inches
B. 0.02 inches
C. 0.0202 inches
D. 0.03 inches
Answer:
A.0.0002 inch
Step-by-step explanation:
0.02 inch×1%=0.02 inch×1÷100
=0.0002 inch
If A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent, the GREATEST allowable thickness of the metal square is 0.0202 inches. So, correct option is C.
The allowable error for the thickness of the metal square is given as 1 percent. To determine the greatest allowable thickness, we need to find 1 percent of the given thickness and subtract it from the given thickness.
Given thickness: 0.02 inches
1 percent of 0.02 inches = (1/100) * 0.02 inches = 0.0002 inches
Subtracting the 1 percent allowable error from the given thickness:
0.02 inches ± 0.0002 inches = 0.0198 inches or 0.0202 inches
Therefore, the greatest allowable thickness of the metal square is 0.0198 inches or 0.0202 inches.
Among the answer choices provided:
A. 0.0002 inches is the 1 percent allowable error, not the greatest allowable thickness.
B. 0.02 inches is the given thickness.
C. 0.0202 inches is the greatest allowable thickness.
D. 0.03 inches is greater than the greatest allowable thickness.
Hence, the correct answer is C. 0.0202 inches.
To learn more about error click on,
https://brainly.com/question/23971440
#SPJ2
0.87 written as a fraction
Answer:
[tex] \frac{87}{100} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.
Hope it is helpful...Answer:
87/100
Step-by-step explanation:
If the graph of the following parabola is shifted one unit left and two units up,
what is the resulting equation in vertex form?
x² = 12y
Answer: (x+1)^2=12(y-2)
Step-by-step explanation:
what is the correct answer?
Answer:
5
Step-by-step explanation:
Answer:4.5
[um i cant relay see it but il do my best]
Ordinary least squares estimation is subject to heterogeneity bias if _____. 答案选项组 the regression model exhibits heteroskedasticty the unobserved effect is correlated with the observed explanatory variables the regression model includes a lagged dependent variable the explanatory variables do not change over time
Answer:
Unobserved effect.
Step-by-step explanation:
The unobserved effect of heterogeneity is correlated with the observed explanatory variables. Population heterogeneity is bias in unobserved pre treatment factors which affect the outcome even without treatment.
What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
Answer:
The base is: [tex]3 \sqrt[3]{4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]
Required
The base
Expand 108
[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]
Rewrite the exponent as:
[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]
Expand
[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]
[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]
Rewrite as:
[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]
An exponential function has the following form:
[tex]y=ab^x[/tex]
Where
[tex]b \to base[/tex]
By comparison:
[tex]b =3 \sqrt[3]{4}[/tex]
So, the base is: [tex]3 \sqrt[3]{4}[/tex]
Answer:
B
Step-by-step explanation:
good luck
Given a mean of 75 and a standard deviation of 7, how many students out of 500
would score higher than 89?
Answer:
230
Step-by-step explanation:
isiwjsjxjxjsiqisjnx
On a coordinate plane, triangle B C D has points (negative 4, 1), (negative 2, 1), (negative 4, 3). Triangle B prime C prime D prime has points (negative 1, negative 4), (negative 1, negative 2), (negative 3, negative 4). Triangle BCD is rotated counterclockwise to form triangle B’C’D’. What is the angle of rotation? 45° 90° 180° 360°
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The transformation from B to B' is ...
B(-4, 1) ⇒ B'(-1, -4)
(x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW
Answer:
90 degrees
Step-by-step explanation:
Pls help I need a good grade
Answer:
b
Step-by-step explanation:
glad I helped..............
hat is equivalent to but different from 7/13
Answer and Step-by-step explanation:
The answer is [tex]\frac{14}{26}[/tex].
This fraction is a multiple of [tex]\frac{7}{13}[/tex].
#teamtrees #PAW (Plant And Water)
solve the inequality
2(4 x + 1)< 3 (2 x - 3)
Answer:
[tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]
Answer:
x> - 11/2
Step-by-step explanation:
See image below:)
What number is exactly halfway between 5/9 and 7/9
Answer:
11/18
Step-by-step explanation:
Directly between 5/9 and 6/9 would be 5.5/9 (or 5 and half ninths. However, you’re not supposed to mix regular fractions and decimal fractions.
So, the easiest way to get the proper answer would be to convert the fractions to eighteenths, which would give you a whole number numerator between the two given fractions.
So, 5/9 = 10/18 and 6/9 = 12/18. What number is directly exactly between 10 and 12? 11.
How many real equations does 8-4x=o have ?
Answer:1 real solution
Step-by-step explanation:
Select the TRUE statement for completely random design.
a.)The experimental units are assigned randomly to exactly one control group and one treatment group.
b.)The experimental units are assigned randomly to one or more control groups and exactly one treatment group.
c.)The experimental units are assigned randomly to one or more control groups and one or more treatment groups.
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups.
Answer:
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups
Step-by-step explanation:
Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups
all the angles of polygon of 30 sides are equal what is the measure of each angle
Answer:
(30-2)*180 calculate and get ur answer
simplify 5x+(2x-y)- 4y)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\text{5x + (2x - y) - 4}[/tex]
[tex]\huge\text{= 5x + 2x - y - 4y}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{(5x + 2x) + (-y - 4y)}[/tex]
[tex]\huge\text{5x + 2x = \boxed{\bf 7x}}[/tex]
[tex]\huge\text{-y - 4y = \boxed{\bf -5y}}[/tex]
[tex]\boxed{\huge\text{= \bf 7x - 5y}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \text{\bf 7x - 5y}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\longrightarrow{\blue{ 7x - 5y }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]5x + (2x - y) - 4y[/tex]
➼ [tex] \: 5x + 2x - y - 4y[/tex]
➼ [tex] \: 7x - 5y[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Find the distance between the pair of points: (2,6) and (0,−3).
Answer:
d = √85
Step-by-step explanation:
d^2 = (X2 - X1)^2 + (Y2 - Y1)^2
= (2 - 0)^2 + (6 + 3)^2
= 4 + 81
d = √85
Fig. 14.36 3 A concrete floor is 4 m long and 3 m wide. Calculate: a the area of the floor, b the cost of making the floor if concrete is N2 400 per m². What is the area, in m², of the floor of a hall that is 6 metres square? (6 metres square means 6 m by 6 m.)
Answer:
Step-by-step explanation:
Area of floor = length * width
= 4 * 3
= 12 sq.m
Cost of making the floor = 12 * 2400
= N 28800
can anybody help me? I'll give brainlest
9514 1404 393
Answer:
65°, 35°, 90°, 115°, 80°
Step-by-step explanation:
There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.
A: 0 or 180
B: 65 or 115
C: 90
D: 145 or 35
E: 180 or 0
__
Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.
arc AOB = 65 -0 = 65°
arc DOE = 35 -0 = 35°
arc AOC = 90 -0 = 90°
arc EOB = 115 -0 = 115°
arc DOB = 145 -65 = 80°
Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?
Answer: 7.2$
hope it helps :)
step-by-step explanation:
Cost of each box = 3$
Cost of 3 boxes without 20% coupon = 9$
With 20% off Coupon = 9 by 100 multiplied by 20
(the zero's cut with each other leaving)
= 9 by 10 multiplied by 2
(9 multiplied by 2 = 18)
= 18 by 10
(18 divided by 10 = 1.8)
= the 20% of 9$ is equal to 1.8
when subtracted with the total cost leaves 7.2$