Answer:
3 mStep-by-step explanation:
The formed triangles are similar and the ratio of corresponding sides is equal:
x/4 = 9/12x/4 = 3/4x = 3 mThe light source should be at 3 m height
Both triangles are congruent so
\(\\ \bull\sf\longmapsto \dfrac{x}{4}=\dfrac{9}{12}\)
\(\\ \bull\sf\longmapsto 12x=36\)
\(\\ \bull\sf\longmapsto x=3\)
Light source should be at 3m
What is the correct answer?
it option 2
Step-by-step explanation:
How do you write
f(x)=-5x^2-100x+8
in vertex form?
How do you solve for incenter?
The approach for solving for incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Formula for solving incenter:
Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.
and a,b,c are lengths of sides.
I = ((ax1+bx2+x3 / a+b+c , ay1+by2+cy3 / a+b+c))
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GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
Noah spent some of his allowance on monday,1/8 of his allowance on Tuesday,1/8 of it on Wednesday and 2/8 of it on thursday.noah has none of his allowance money left.what fraction of his allowance did he spend on monday?explain
Answer:
Noah spent 4/8 of his allowance on Monday.
Step-by-step explanation:
Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:
8/8 - (1/8 + 1/8 + 2/8) = X
8/8 - 4/8 = X
4/8 = X
Therefore, Noah spent 4/8 of his allowance on Monday.
The length of a screw is 0.75 centimeter. How many screws
can be placed end to end to make a row that is
18 centimeters long?
Question provided in attachment.
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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Aria’s father is laying tile in their new kitchen. The length of one side of the room is 17 feet. Each of the tiles has a length of 1 3/10 feet. What is the length of the two tiles placed together?
Answer:
48ft
Step-by-step explanation:
48ft
Help me on this one please guys I’m begging
Answer: 14
Step-by-step explanation:
(150/84) = (25/x)
So, x= {(84*25)/150} = 14
Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. Write the rule that best represents the dilation that was applied to triangle ABC to create triangle A'B'C'. -10-9-S A B C
The rule of dilation is a dilation by a scale factor of 2
Determining the rule of dilationFrom the question, we have the following parameters that can be used in our computation:
ABC with vertices at A(1, 1)A'B'C' with vertices at A'(2, 2)The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (2, 2)/(1, 1)
Evaluate
Scale factor = 2
Hence, the rule of dilation is (2x, 2y)
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Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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It was found that 61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. 33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years. 18 percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places
Answer:
0.76 = 76% probability that a tourist visited at least one of these places
Step-by-step explanation:
I am going to solve this question using the probabilities as Venn sets.
We have that:
Event A: Tourist visited Beinjing.
Event B: Tourist visited Xi'an.
61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing.
This means that \(P(A) = 0.61\)
33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years.
This means that \(P(B) = 0.33\)
18 percent of the tourists went to both Beijing and Xi'an.
This means that \(P(A \cap B) = 0.18\)
What is the probability that a tourist visited at least one of these places?
This is
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
We already found these values. So
\(P(A \cup B) = 0.61 + 0.33 - 0.18 = 0.76\)
0.76 = 76% probability that a tourist visited at least one of these places
The graph below shows the number of free throws made by five players on a basketball team.
Weekly Free Throw Numbers for Players
#Free Throws
10+
99876543N
Player 1 Player 2 Player 3 Player 4 Player 5
Week 1 Week 2 Week 3
What was the total number of free throws made for Player 2?
24
17
23
8
Total number of free throws made for player 2 are 23 using histogram.
Define histogram.A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.
Given,
Histogram given,
Total number of free throws made for player 2 are:
8 + 9 + 6
23
Total number of free throws made for player 2 are 23 using histogram.
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If p<0, q> 0, and p+ q=r, which statement about r is true?
Answer: I Believe the answer is R<0
-Hope this helps!! <3
Find the distance between the points (6, -4) and (-7, -4)
Answer:
8
Step-by-step explanation:
Subtract 6 to 7 then add that to the 7.
13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.
The evaluation of the statements with regards to the graph of a function are;
The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.What is a function?A function maps an input value to an output based on a definition or rule.
First part of the statement;
The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞
The equation of a straight line function is of the form; y = m·x + c
Therefore;
The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.
Second part of the statement.
The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.
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what is the opposite of 1/2
Answer:
The opposite of 1/2 is -2/1, which can also be written as -2.
I need help on understanding this concept
In 2018, there were 238 Republicans, and 201 Democrats in the
House of Representatives. Find the percentage of Democrats in
the House of Representatives in 2018.
The percentage of Democrats in the House of Representatives in 2018 is 45.79%
Finding the percentage of Democrats in the House of Representatives in 2018.From the question, we have the following parameters that can be used in our computation:
238 Republicans, and 201 Democrats in the House of Representatives
This means that
Total = 238 + 201
Evaluate the sum
Total = 439
The percentage of Democrats in the House of Representatives in 2018 is then calculated as
Percentage = 201/439 * 100%
Evaluate
Percentage = 45.79%
Hence, the percentage is 45.79%
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23. Fluber Cab Services charges a flat fee of $1.50 plus an additional $0.65 per mile. Cindy has no more than $15 to spend on a ride.
Answer
The inequality describing the situation is
1.50 + 0.65x ≤ 15
Solving this,
x ≤ 20.77 miles
This means that with the amount she's willing to spend, she can travel no more than 20.77 miles with $15
Explanation
Flat fee for the ride is $1.50
Then each mile covered results in an extra expense of $0.65 per mile.
Cindy can spend no more than $15 on a ride.
If the maximum number of miles Cindy can go is x
Total amount for the ride for x miles
= (1.50 + 0.65x) dollars
This total amount cannot exceed $15
1.50 + 0.65x ≤ 15
We can then solve this inequality
1.50 + 0.65x ≤ 15
0.65x ≤ 15 - 1.50
0.65x ≤ 13.5
Divide both sides by 0.65
(0.65x/0.65) ≤ (13.5/0.65)
x ≤ 20.77 miles
Hope this Helps!!!
The price of an item yesterday was $140 today the price is $343 what’s the percentage increase
Answer:
145% increase
Step-by-step explanation:
1) 343 - 140 = 203
2) 203/140 = 1.45
3) 1.45 x 100 = 145
A painter charges $15.66 per hour, plus an additional amount for the supplies. If he made $190.08 on a job where he worked 7 hours, how
much did the supplies cost?
A $27.15
B. $90.46
C. $109.62
OD. $80.46
Find the volume of the composite space figure to the right to the nearest whole number.
LOOK AT THE PICTURE!!!
I NEED IT ASAP PLEASE
Answer:
126 cubic cm
Step-by-step explanation:
6 x 7 x 2 = 84
2 x 3 x 7 = 42
84 + 42 = 126
(i separated the shape to two rectangular prisms)
De los 12 jugadores del equipo 2/8 son delanteros
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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HOLY F THE I JUST ASKED OUT MY CRUSH!!!!
SHE SAID YES!!!
Now wha lol
Answer:
how you gonna go out in a pandemic?
Step-by-step explanation:
unless you're in a place where the virus was handled properly, the understandable, have a nice day.
and uhh
communication is key to a healthy relationship
Please look at the graphs in the photo. Thank you!
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
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A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
The population of the survey is the 242 that said they would be interested.
The population of the survey is all residents of the neighboring city whose phone number is listed.
The survey sample includes current customers.
Answer:
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
Step-by-step explanation:
that one makes the most sense
If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
Combine the like terms to create an equivalent expression.
10k+1+8k+2=10k+1+8k+2
a certain radioactive isotope has leaked into a small stream. one hundred days after the leak 8% of the original amount of substance remained. Determine the half life of this radioactive isotope
Answer:
The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.
Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.
We can use this information to set up the following equation:
0.08 = (1/2)^n
where n is the number of half-lives that have elapsed. We want to solve for n.
Taking the logarithm of both sides, we get:
log(0.08) = n*log(1/2)
Solving for n, we get:
n = log(0.08) / log(1/2) = 3.42
So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:
Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)
Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.