Answer:
Screenshot 1 = Option B (5x-1)²
Screenshot 2 = (x+9)(x+9)
Screenshot 3 = Option 3 100x²-20x+1
Step-by-step explanation:
Screenshot 1 -
(5x-1)² = (5x-1)(5x-1)
5x · 5x = 25x²
5x · -1 = -5x
5x · -1 = -5x
(-1) · (-1) = 1
25x²- 5x- 5x + 1 = 25x² - 10x + 1
Screenshot 2 -
(x+9)(x+9)
x · x = x²
x · 9 = 9x
x · 9 = 9x
9 · 9 = 81
x² + 9x + 9x + 81 = x² + 18x + 81
Screenshot 3 -
100x²-20x+1
(10x-1)(10x-1)
10x · 10x = 100x²
10x · (-1) = -10x
10x · (-1) = -10x
(-1) · (-1) = 1
100x² - 10x - 10x + 1 = 100x² - 20x +1
HELP THIS WAS DUE ALREADY
Answer:
1:4
Step-by-step explanation:
Let's find the ratio of one side of Figure A to one side of Figure B. Note that the have to be the same side on each triangle (Ex: The short side and the short side or the medium length side and the medium length side or the long side and the long side)...
14:56
We can simplify this into...
1:4
Answer:
1 : 4
Step-by-step explanation:
A : B = 14 : 56 = 1 : 4
or
7 : 28 = 1 : 4
0r
16 : 64 = 1 : 4
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer:
\(102\textdegree\)
Step-by-step explanation:
If we let the measure of the smallest angle be \(x\), then we know that the measure of the angle that is three times as large as it is \(3*x=3x\) and the measure of the angle that is \(10\textdegree\) larger than it is \(x+10\).
Because the sum of the measures of the interior angles in a triangle is \(180\textdegree\), we can write the following equation to solve for \(x\):
\(x+3x+x+10=180\)
Solving for \(x\), we get:
\(x+3x+x+10=180\)
\(5x+10=180\) (Combine like terms)
\(5x=170\) (Subtract \(10\) from both sides of the equation to isolate \(x\), Simplify)
\(x=34\textdegree\)
Therefore, the measures of the other angles are \(3x = 3 * 34=102\textdegree\) and \(34+10=44\textdegree\). Since \(102>44>34\), the measure of the largest angle will be \(\bf102\textdegree\). Hope this helps!
Suppose that the scores of golfers on the PGA tour have a mean of 67.15 and a standard deviation of 3.084. A random sample of 30 is taken from the population. What is the distribution of the sample mean
The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)
The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.
Therefore, for this problem, the distribution of the sample mean can be represented as:
X ~ N(67.15, 3.084/√30)
where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.
This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.
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Please answer all 4 questions.. I will mark u brainliest and rate u five stars
Answer:
1) Opposite angles at the same side of transversal
2) vertically opposite angles
3) angles on the same side of transversal
4) given in the question
Ayuda, es para mañana y no entiendo.
Considere el ∆
The measure of the side BD using Similar Triangles is 12.6.
Given is a triangle AED.
We have to find the measure of BD.
Here, we have two triangles AED and CBD.
∠EAD = ∠BCD = α
∠ADE = ∠CDB [same angle]
By the AA similarity rule, both triangles are similar.
So the corresponding sides are proportional.
AD / CD = ED / BD = AE / CB
AD = 20 and AC = 6
So, CD = 20 - 6 = 14
ED = 18
So, 20 / 14 = 18 / BD
BD = (14 × 18) / 20 = 12.6
Hence the measure of BD is 12.6.
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The question in english is,
Consider the ΔAED and according to the data in the figure, if AD = 20, AC = 6, ED = 18, calculate the measure of BD.
Hey sorry to bother but i need this done as fast as possible. "Solve the system without graphing. Explain in steps. 3x=8+y, 4x-3y=1
HELP ME, please help me solve this it is due soon.
Answer:
so from left to right, first row -18 and 63
second row, 6 and -21
bottom row, -108, -3, so the question mark is 36
Step-by-step explanation:
Which linear inequality is represented by the graph?
Answer:
B. y <= 1/3 x - 4
Step-by-step explanation:
The line has y-intercept -4.
The slope is
m = rise/run = 1/3
The equation of the solid line is
y = 1/3 x - 4
Since the line is solid, we need >= or <=.
Since the shading is below the line, we use <=.
Answer: y <= 1/3 x - 4
A is the event that the student drives, and B is the event that the student went to the movies in the past month.
A Venn Diagram. One circle is labeled A (A and B Superscript C Baseline 0.06), another is labeled B (A Superscript C Baseline and B 0.22), and the shared area is labeled A and B (0.35). The area outside of the diagram is labeled A Superscript C Baseline and B superscript C Baseline 0.37.
Use the Venn diagram to answer the following questions.
What is the probability that a randomly selected student does not drive?
What is the probability that a randomly selected student went to the movies in the past month?
What is the probability that a randomly selected student drives or went to the movies in the past month?
If an event that "student-drives" is denoted by "A", and event "student go for movie" is denoted by B, then
(a) Probability that randomly selected student do not drive is 0.59,
(b) Probability for randomly selected student go for movie last-month is 0.57,
(c) Probability that randomly selected student "drives" or "go for movie past month" is 0.63.
(a) To find the probability that a randomly selected student does not drive, we can use the complement of event A, which is A'.
From the Venn-Diagram, We know that;
(A and \(B^{c}\)) = 0.06, (\(A^{c}\) and \(B^{c}\)) = 0.37, (A and B) = 0.35, (\(A^{c}\) and B) = 0.22,
We use the values of (A and \(B^{c}\)) and (A and B) to calculate P(A):
P(A) = (A and \(B^{c}\)) + (A and B) = 0.06 + 0.35 = 0.41;
So, P(\(A^{c}\)) = 1 - P(A) = 1 - 0.41 = 0.59,
The probability that randomly selected student do not drive is 0.59.
Part (b) : Probability that randomly selected student go for movies past month, is denoted by P(B).
So, P(B) = (A and B) + (\(A^{c}\) and B) = 0.35 + 0.22 = 0.57.
The probability that randomly selected student go for movies past month is 0.57.
Part (c) : Probability that randomly selected student drives or go for movies past month, is denoted by union of events A and B, and We know that, P(A U B) = P(A) + P(B) - P(A and B);
Substituting the values,
We get,
= 0.41 + 0.57 - 0.35
= 0.63.
So, probability that randomly selected student drives or go for movies past month is 0.63.
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1. Find a polynomial that represents volume of the fish tank. Explain how you used the
properties of exponents to determine your expression.
HINT: The formula for the volume of a rectangular prism is V = lwh.
- someone help please !!
Answer:
(2x-30)(2x-20)(x-60)
Step-by-step explanation:
you're welcome
suppose that a regression line for some data transformed with logarithms predicts that when x equals 9, log(y) will equal 3.992. what does the regression line predict y will equal when x equals 9? round your answer to the nearest whole number.
Based on the given information, when x equals 9, the regression line predicts that log(y) will equal 3.992. To find the predicted value of y when x is 9, you will need to apply the inverse transformation to the logarithmic value.
The inverse transformation of log(y) is achieved by using the exponential function. Specifically, you can use the formula:
y = 10^(log(y))
In this case, since log(y) = 3.992, you can plug this value into the formula:
y = 10^(3.992)
When you calculate this, you will find that y ≈ 9762.97. Rounded to the nearest whole number, the regression line predicts that y will equal 9763 when x equals 9.
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Find two integers whose sum is 2 and product is -3
Answer:
x = -1 and y = 3 x = 3 and y = -1
Step-by-step explanation:
helen rolls a dice and flips a coin.
calculate the probability
Answer:
1/12
Step-by-step explanation:
dice rolling=1/6
coin flipping=1/2
Hence probability=1/6×1/2
Answer:
Dice roll = 1/6
Coin flip = 1/2
Solve:
2/3x +4 - 3/5 -2
Answer:
0.666667*x+4-3/5-2
HOPE I HELP!!!! :)
PLEASE HELP
Draw the graph of the equation x+5y=6
The graph of the function x + 5y = 6 is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
x+5y=6
Express the equation properly
So, we have
x + 5y = 6
The above expression is a an equation of a linear function
Make y the subject
So, we have
y = -x/5 + 6/5
So, we have
slope = -1/5y-intercept = 6/5Next, we plot the graph using a graphing tool
To plot the graph, we enter the equation in a graphing tool and attach the display
See attachment for the graph of the function
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solve for f.
85+ f/8=91
Answer:
f=48
Step-by-step explanation:
Its correct good luck!
6. The supplement of an angle is 8 less than three times the measure of the angle. Find
the measure of both angles.
X =180
m/1=
m/2 =
By using the concept of supplementary angle, it can be calculated that
The two angles are 47° and 133°
What are supplementary angles?
At first it is important to know about angle.
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.
Two angles are said to be supplementary if the sum of the angles is 180°
Let one angle be x
Other angle = 180 - x
The supplement of an angle is 8 less than three times the measure of the angle
By the problem
180 - x = 3x - 8
3x + x = 180 + 8
4x = 188
x = \(\frac{188}{4}\)
x = 47°
Other angle = 180 - 47 = 133°
The two angles are 47° and 133°
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Is 17 a interger or a counting number
can someone help me with 4,5,6 please and thank you
Answer:
SORRY BUT I DONT UNDERSTAND.
Step-by-step explanation:
HOPEFULLY YOU FIND THE ANSWER
Answer:
number 4 (I Think 138)
Step-by-step explanation:
I should of paid more attention in geometry sorry : (
find the standard deviations for the commercial buildings total assessed land value and total assessed parcel value, and the residential buildings total assessed land value and total assessed parcel value. which has the smallest standard deviation? select the correct answer below: commercial total assessed land value residential total assessed land value residential total assessed parcel value commercial total assessed parcel value
The residential buildings' total assessed land value has the smallest standard deviation.
To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.
Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.
In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.
Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.
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8. Given : triangle PQR and triangle TSR are right triangles , R is the midpoint of overline PT , overline PQ cong overline TS Prove : Delta PQR cong Delta TSR
By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.
We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).
Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.
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HELPPP PLSSS
Using the given picture, determine which 2 lines are parallel and which theorem proves it.
Select 3 correct answers
-a
-b
-c
-d
-corresponding angles converse
-alternate exterior angles converse
-alternate interior angles converse
-consecutive interior angles converse
Answer:
a and b are paralell
Step-by-step explanation:
I'm not sure abt the other part but I'm pretty sure its consecutive interior angles converse
Identify the polynomial.
a 2 - b + c - d 3
Answer: two polynomials
Evaluate the function for the indicated values. f(x) = 4 [x]] +6 (a) (0) (b) (-2.9) (c) (5) (d) (들)
Given: $f(x) = 4[x]+6$
To find the values of the given function f(x) for the indicated values:
(a) To find f(0)
Substitute x = 0f(0) = 4[0] + 6 = 6
(b) To find f(-2.9)
Substitute x = -2.9$f(-2.9) = 4[-2] + 6 = -8 + 6 = -2$
(c) To find f(5)
Substitute x = 5$f(5) = 4[5] + 6 = 20 + 6 = 26$
(d) Given no value is provided, hence we can't find it by substituting in the function.
Therefore, it is not possible to find the value of f(x) for the given value.
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10. How many times smaller
is 0.98 than 9.8?
An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost of apartments based on the size of the apartment. Data for a sample of 25 apartments in a particular neighborhood are provided below:
Rent Size
950 850
1600 1450
1200 1085
1500 1232
950 718
1700 1485
1650 1136
935 726
875 700
1150 956
1400 1100
1650 1285
2300 1985
1800 1360
1400 1175
1450 1225
1100 1245
1700 1259
1200 1150
1150 896
1600 1361
1650 1040
1200 755
800 1000
1750 1200
Find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable.
The estimated regression equation is:
\($y = 420.1 + 0.778x$\)
How to find the estimated regression equation?To find the estimated regression equation, we need to perform linear regression analysis on the given data. We will use the least squares method to find the line of best fit.
First, let's calculate the mean and standard deviation of the rent and size variables:
\($\bar{x} = 1192$\) (mean of size)
\($\bar{y}= 1337$\) (mean of rent)
\($s_x = 404.9$\) (standard deviation of size)
\($s_y= 390.3 $\)(standard deviation of rent)
Next, we can calculate the correlation coefficient between the rent and size variables:
\($r = \frac{\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n}(x_i - \bar{x})^2}\sqrt{\sum_{i=1}^{n}(y_i - \bar{y})^2}} = 0.807$\)
Now, we can use the formula for the slope of the regression line:
\($b = r\frac{s_y}{s_x} = 0.807\frac{390.3}{404.9} = 0.778$\)
And the formula for the intercept of the regression line:
\($a = \bar{y} - b\bar{x} = 1337 - 0.778(1192) = 420.1$\)
Therefore, the estimated regression equation is:
\($y = 420.1 + 0.778x$\)
where y is the monthly rent and x is the size of the apartment.
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please help find median and mean of each data display.
Answer:
median: 60
mean:44
Step-by-step explanation:
80-20=60
30+50+80+40+20=220
220÷5=44
i would like help the picture is in the question
Answer:A
Step-by-step explanation:
Select the values that make the inequality -m≥4−m≥4 true.
Then write an equivalent inequality, in terms of mm.
(Numbers written in order from least to greatest going across.)
-9 -5 -4.1
-4 -3.9 -3
-1 0 1
3 3.9 4
4.1 5 9
Equivalent Inequality:
As for writing an equivalent inequality in terms of m, we can consider the original inequality -m ≥ 4 - m ≥ 4. Since this inequality does not hold true for any value of m, we cannot write an equivalent inequality.
To determine the values that make the inequality -m ≥ 4 - m ≥ 4 true, let's examine the given options:
-9, -5, -4.1
-4, -3.9, -3
-1, 0, 1
3, 3.9, 4
4.1, 5, 9
We need to identify the values that satisfy the inequality -m ≥ 4 - m ≥ 4.
Considering the inequality -m ≥ 4 - m, we can simplify it as follows:
-m ≥ 4 - m
-m + m ≥ 4 - m + m (adding m to both sides)
0 ≥ 4 (simplifying)
Since 0 is not greater than or equal to 4, this inequality is not true for any value of m.
Therefore, there are no values from the given options that satisfy the inequality -m ≥ 4 - m ≥ 4.
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In trapezoid PQRS, identify PQ.