9514 1404 393
Answer:
z^(8/5)
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
__
\(\displaystyle (z^{-\frac{4}{3}})^{-\frac{6}{5}}=z^{(-\frac{4}{3})(-\frac{6}{5})}=z^{\frac{24}{15}}=\boxed{z^{\frac{8}{5}}=z^{1.6}}\)
The sum of a number and 3 is less than or equal to 8
Answer:
m ≤ 5
Step-by-step explanation:
I will begin by assuming m to be the number.
Then, the sum of m and 3 is: m + 3.
The symbol for "less than or equal to" is ≤.
So we form an inequality, like this :
m + 3 ≤ 8
To find m subtract 3 on each side:
m ≤ 5
Therefore, m ≤ 5.
Take different values for x and find the value of 3x+5.
Answer:
when x=1
3x+5.=3×1+5=8
when x=0
3x+5.=3×0+5=5
Step-by-step explanation:
when x=-1
3x+5.=3×-1+5=-3+5=2
Step-by-step explanation:
solution
here,
let the value of x be 1, then
3x+5
=3*1+5
=8
let the value of x be 2, then
3x+5
=3*2+5
=6+5
= 11
Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
Need help with this question please.
Answer:
The answer is, The fastest speed is 3/4 mile in 1/8 hour
Step-by-step explanation:
the answer i have = 6miles per hour and the rest of the answers are lower than that.
the question is (1/8)^-x=64^x
Answer:
x = 0
Step-by-step explanation:
8^x = 8^2^x
8^x = 8^2x
x = 2x
2x - x = 0
x = 0
Increase 600m by 30%
630m
780m
180m
420m
(II) Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the start and stop moments.What is the percent uncertainty of a hand-timed measurement of (a) 5.5 s, (b) 55 s, (c) 5.5 min?
Answer:
(a) 36.36%
(b) 0.36%
(c) 0.06%
Step-by-step explanation:
Given that the time intervals measured with a stopwatch have an uncertainty of about 0.2 s.
We want to know what is the percent uncertainty of a hand-timed measurement of:
(a) 5.5 s
Percentage = (0.2/5.5) × 100
≈ 36.36%
(b) 55 s
Percentage = (0.2/55)×100
≈ 0.36%
(c) 5.5 min
5.5 min = 5.5 × 60 s
= 330 s
Percentage = (0.2/330)×100
≈ 0.06%
Make r the subject of the formula t=r/r-3
Answer:
I think the answer is
t=r/r-3
r=t(r-3)
r=tr-t3
A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
An amusement park in Orlando, Florida, has an iconic spherical structure at its entrance. The diameter of the structure is 165 ft.
What is the approximate volume of the structure?
Useπ=3.14
in your calculations. Round your answer to the nearest cubic foot.
I NEED THE VOLUMEE
Answer:2352071.15 cubic inches
Step-by-step explanation:
Given two objects represented by the tuples (22, 1, 42, 10) and (20, 0, 36, 8):(a)Compute the Euclidean distance between the two objects. (b) Compute the Manhattan distance between the two objects.
Answer:
(a) 6.708
(b) 11
Step-by-step explanation:
Tuples ( 22, 1, 42, 10) and (20, 0, 36, 8)
Euclidian distance formula
\(D = \sqrt{(q1 -p1)^2 + (q2-p1)^2 + (q3 - p3)^2 + (q4 -p4)^2}\)
D = \(\sqrt{(22-20)^2 + (1-0)^2 + (42 -36)^2 + (10 -8)^2 }\)
= \(\sqrt{(2)^2 + (1)^2 + (6)^2 + (2)^2}\)
= \(\sqrt{4 + 1 + 36 + 4 }\)
= \(\sqrt{45}\)
D = 6.708
Therefore the Euclidean distance between the tuples is 6.708
Manhattan Distance formula
D = |q1-p1| + |q2 -p2| + |q3 -p3| + |q4-p4|
= |22-20| + | 1-0| + | 42 -36| + | 10-8|
= |2| + |1| + |6| + |2|
D = 11
Therefore the Manhattan distance is equal to 11
In 32 days, a person saved $56. What was the person's average daily savings?
Answer: $ 1792
Step-by-step explanation:
A study is conducted to determine how playing a sport affects a student's overall health and well-being. The study includes 100
high school students on various sports teams. The study includes a survey composed of 5 statements to which students
respond on a scale of 1-5. A response of 5 indicates strong agreement with the statement and a response of 1 indicates
strong disagreement with the statement. The results of the statement, "Participating in a sport helps to improve a person's
ability to prioritize his or her free time," shows an average response score of 3.2 and a standard deviation of 1.2. One
conclusion in the report of the study states that participation in sports markedly improves a student's ability to make good use
of free time.
Which statements regarding the report are true?
Select each correct answer.
A)The report should be considered accurate only if the sample is a stratified sample of students playing sports.
The study is biased since the survey includes only students playing a sport so the report should not be considered
accurate.
B)The report accurately states the results because a mean score of 3.2 is greater than the predicted average of 3 on
the statement regarding prioritizing free time.
C)The report does not accurately interpret the result of the statement regarding prioritizing free time.
D)The report of the study should state that there is a strong correlation between participation in sports and ability to
prioritize free time rather than make a broad conclusion.
The requried, correct statment is shown below,
B) The report accurately states the results because a mean score of 3.2 is greater than the predicted average of 3 on the statement regarding prioritizing free time.
C) The report does not accurately interpret the result of the statement regarding prioritizing free time.
D) The report of the study should state that there is a strong correlation between participation in sports and the ability to prioritize free time rather than make a broad conclusion.
Statement A is not true as it suggests a specific sampling method is necessary for accuracy, which is not necessarily the case. The study can still be accurate if the sample is randomly selected and sufficiently large.
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The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)
Answer:
\(a : b = 14 : 29\)
Step-by-step explanation:
Given:
\(Vanilla = 58\)
\(Chocolate = 28\)
Required
Represent as ratio
Let chocolate be represented with a and vanilla be represented with b
So, we have:
\(a : b\)
\(a : b = 28 : 58\)
Divide ratio by 2
\(a : b = 14 : 29\)
Hence, the required ratio is \(14:29\)
A dog ate 6 cupcakes. that was 3/8 of all of them. How many cupcakes did you start?
what is the equation---------------
what is the answer---------------
Answer:
16
Step-by-step explanation:
Find an equivalent fraction which is 6/16.
what percentage of 85 is 15
Answer:
The answer to your question is 17.65
Answer: 17.65%
Step-by-step explanation:
X/100 = 15/85 (cross multiplication)
(100*15)/85 = 17.65%
(This helps: %/100 = is/of (cross multiplication)
write a word problem for 8x - 5 = 40
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
for such more question on Kevin's account
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Which of the equations or inequalities below are true?
A. 8-6<3
B. 8-6=2
C. 8-6>3
D. 6-8=2
Answer:
The answer is C because 8-6=2 and 2 is equal to 2
Step-by-step explanation:
please help
maths geometry
Answer:
See below.
Step-by-step explanation:
Question 1Statement: Angle B = 60°
Reason: ΔABE is equilateral.
Statement: Angle C = 120°
Reason: ABCD is a parallelogram and adjacent angles in a parallelogram sum to 180°.
⇒ B + C = 180°
⇒ 60° + C = 180°
⇒ C = 120°
Statement: Angle D₂ = Angle E₃ = x
Reason: ΔDEC is an isosceles triangle and E₃ = x.
Statement: x = 30°
Reason: Interior angles in triangle sum to 180°.
⇒ D₂ + E₃ + C = 180°
⇒ x + x + 120° = 180°
⇒ 2x + 120° = 180°
⇒ 2x = 60°
⇒ x = 30°
Statement: E₂ = 90°
Reason: Angles on a straight line sum to 180°
⇒ E₁ + E₂ + E₃ = 180°
⇒ 60° + E₂ + 30° = 180°
⇒ E₂ + 90° = 180°
⇒ E₂ = 90°
Statement: AE ⊥ ED.
Reason: E₂ = 90°
Question 2Statement: Angle B = 60°
Reason: ΔABE is equilateral.
Statement: Angle C = 120°
Reason: ABCD is a parallelogram and adjacent angles in a parallelogram sum to 180°.
⇒ B + C = 180°
⇒ 60° + C = 180°
⇒ C = 120°
Statement: Angle D₂ = Angle E₃ = x
Reason: ΔDEC is an isosceles triangle and E₃ = x.
Statement: x = 30°
Reason: Interior angles in triangle sum to 180°.
⇒ D₂ + E₃ + C = 180°
⇒ x + x + C120° = 180°
⇒ 2x + 120° = 180°
⇒ 2x = 60°
⇒ x = 30°
Statement: Angle B = Angle D = 60°
Reason: ABCD is a parallelogram and opposite angles in a parallelogram are equal.
Statement: Angle D₁ = 30°
Reason: Angle D is 60° and Angle D₂ is 30°.
⇒ D₁ + D₂ = 60°
⇒ D₁ + 30° = 60°
⇒ D₁ = 30°
Statement: ED bisects angle D
Reason: Angle D₁ = Angle D₂
P(t)=480,000e−0.024t, where t is the number of years from the present. What does this model predict the population will be in 14 years?
The model predicts the population to be 671,520 in 14 years
What is an exponential function?An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.
Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.
Population, P(t) = 480,000\(e^{-0.024t}\),
when t = 14
substitute t = 14 into the equation,
Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520
In conclusion, the Population of the model after 14 years is 671,520
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Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if
any; d. the y-intercept, if any; and e. the missing function value, indicated by the question mark
below.
f(9) = ?
a. Domain - [0, 20]
b. Range - [8, ∞)
c. X-intercepts - undefined.
d. Y-intercept - 8
e. Missing function value f(9) = 11
What is the explanation for the above ?a. The function's domain is the range of x-values over which the graph is defined. In this case, the domain is from 0 to 20, inclusive - [0, 20].
b. The function's range is the set of all possible y-values that the function takes. Since the graph starts from unit 8 on the y-axis, the range would be from 8 to positive infinity - [8, ∞).
c. since the graph does not touch the x- axis at any point, we can state that the there is no x-intercept orthat the x -intercept is undefined.
d. The y-intercept is the point where the graph intersects the y-axis. In this case, the y-intercept is at unit 8 on the y-axis.
e. Based on the graph the point (9, 11) corresponds to the value of y when x is 9, then f(9) would be equal to 11.
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Brian drank 2 glasses of water and a half glass of orange juice. What percentage of
beverage consumption was from the orange juice?
15 is your percentage to the answer
from a deck of 52 cards, what is the probability of getting a four or diamond.
Answer:
4/13
Step-by-step explanation:
There are 13 diamonds in a deck and 3 fours that aren't diamond
13+3=16
16/52 = 4/13
How do I solve 9/5 = x/16
Answer:
Cross Multiply
Step-by-step explanation:
1. Multiply 16 by 9 and you get 144
2. Multiply 5 by x
This is called cross multiplying.
3. Set up the equation. 5x=144
144/5=28.8
x=28.8
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
Evaluate the expression: −(8 − 12) + 60 + (−4)2.
Answer: 80
Step-by-step explanation:
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
Which of the following is true of an ellipse with foci in the same location as the center?
A.It is tall and skinny.
B.It is short and wide.
C.It is a circle.
D.It is a single point.
Answer:c
Step-by-step explanation:
c
Please help me I will give brainlist to fastest answer
Answer:
-3/4
Step-by-step explanation:
points are (0, 7) and (4, 4)
(7-4)/(70-4)=3/(-4)=-3/4