Answer:
5x^2 + 10x
Step-by-step explanation:
Area = Width x Height
Area = (5x)(x+2)
Use distributive property
5x^2 + 10x
Answer:
A = 5x^2 + 10x
Hope this helps!
Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.
Triangle XYZ has verticals eggs one negative one why 34 in Z bar negative one Nico rotated the trailer 90° counterclockwise about the origin what is the correct side of image points for the triangle XYZ
The image of vertex Z after a 90 degree counterclockwise rotation about the origin is (-34, -1). To find the coordinates of the image points for X and Y, we would need to know their coordinates as well.
How to calculate the the correct side of image points?Although the question is a little challenging to understand as worded, I'll do my best to respond.
Here is what I believe you are asking, assuming "verticals eggs" is a typo and you meant "vertex angles" and "Z bar" is a typo and you meant "Z = (-1, 34)":
Triangle XYZ has vertex angles at X and Y and vertices at X, Y, and Z. Pointed at is Vertex Z (-1, 34). What are the coordinates of the picture points for the triangle XYZ if the triangle is rotated 90 degrees anticlockwise about the origin?
We can use the following rotation matrix to rotate the origin 90 degrees anticlockwise:
R = [sin(90); cos(90); cos(90)-cos(90)]
R = [0 -1; 1 0]
We may represent the coordinates of each point in the triangle as a column vector and then multiply by the rotation matrix to apply this matrix to each point in the triangle:
[X'; Y'] = R * [X; Y]
[Z'] = R * [Z; 1]
(Notice that we make the Z coordinate a homogeneous coordinate by adding a third component of 1 to it.)
We are unable to provide the precise coordinates of the image points without knowing the X and Y coordinates. However, we can multiply matrices using the Z coordinate that is provided:
[Z'] = R * [-1; 34; 1]
[Z'] = [(-1) * 0 + 34 * (-1) + 1 * 0; (-1) * 1 + 34 * 0 + 1 * 0; (-1) * 0 + 34 * 0 + 1 * 1]
[Z'] = [-34; -1; 1]
Hence, vertex Z's image following a 90° anticlockwise rotation of the origin is (-34, -1). We would also need to know their coordinates in order to determine the coordinates of the image points for X and Y.
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Give one of supplementary angles and one pair of vertical angles shown in the figure below
Answer:
supplementary: 1 and 2, as they add to 180
vertical: 2 and 3, as they are opposite and equal each other.
Answer:
Step-by-step explanation:
Supplementary angles are 2 angles that add up to 180 degrees, and vertical angles are angles opposite to each other. So for supplementary, we can have 1-2,3-4,5-6,7-8,1-3,2-4,5-7,6-8.
And for vertical, there can be 5-8,6-7,1-4 and 2-3
.. right?
How do i solve y> -x + 4 with the order pair (-4,3)
The coordinate (-4, 3) does not represent the solution set of the given inequality.
What is an inequality? What are algebraic expressions?An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > cIn mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the inequality as -
y > - x + 4
The given inequality is -
y > - x + 4
For the ordered pair -
(-4, 3)
3 > -(-4) + 4
3 > 8
Which is false
Therefore, the coordinate (-4, 3) does not represent the solution set of the given inequality.
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Flagpole The world's tallest unsupported flagpole is a 282-ft-tall steel pole in
Surrey, British Columbia. The shortest shadow cast
by the pole during the year
is 137 ft long. To the nearest degree, what is the angle of elevation of the sun
when the shortest shadow is cast?
Check the picture below.
\(tan(\theta )=\cfrac{\stackrel{opposite}{282}}{\underset{adjacent}{137}}\implies \theta =tan^{-1}\left( \cfrac{282}{137} \right)\implies \theta \approx 64^o\)
Make sure your calculator is in Degree mode.
1. Where can you go to view a list of all FactSet hotkeys?
A. Excel > FactSet ribbon > Settings > Spreadsheet Tools
B. Excel > FactSet ribbon > Settings > Modeling Tools
C. Excel > FactSet ribbon > Settings > Manage Hotkeys
D. Excel > FactSet ribbon > Help > FactSet’s Excel Tips and Tricks
2. What hotkey modifies a formula in the Edit tab of Sidebar?
A. CTRL+M
B. CTRL+J
C. ALT+M
D. ALT+N
The correct answer is C for the first part and A for the second part.
What is Excel: MS Excel is a commonly used Microsoft Office application. It is a spreadsheet program which is used to save and analyse numerical data. Microsoft Excel is a spreadsheet program available in the Microsoft Office Package. MS Excel is used to create Worksheets (spreadsheets) to store and organize data in a table format. Microsoft Excel is one of the most used software application in the world. Excel have the Powerful Tools and Functions, using it for wide verity of applications across the global IT Companies. It is easy to enter the data, read and manipulate the data. Excel stores the data in a table format in Rows and Columns. Microsoft Excel used for storing the data, processing the data, analyzing and presenting the data.We can enter data in Strings, Dates or Numerical type of Data in the Excel Cells and Save the Files for future reference. For the first part: Excel > FactSet ribbon > Settings > Manage Hotkeys. This will bring up a window displaying all of FactSet's hotkeys, which can be customized or modified. For the second part: CTRL+M modifies a formula in the Edit tab of Sidebar. This hotkey allows users to make changes to the formula without having to manually click through the various options in the Sidebar.
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Find the value of x
(6x + 7)°
(8x - 17)°
Explanation:
The two angles shown are vertical angles. This occurs whenever you have an X shape like this, and whenever the angles are opposite one another. Vertical angles are always congruent.
6x+7 = 8x-17
6x-8x = -17-7
-2x = -24
x = -24/(-2)
x = 12
-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points
Answer:
1)4 41/50
2)7 7/10
what are the solutions to 7a -5 less than or greater than 65 or -3a- >-2
The solution set of the inequality is a ≤ 10
How to determine the solution setFrom the question, we have the following parameters that can be used in our computation:
7a -5 less than or greater than 65 or -3a- >-2
This gives
7a -5 ≥ 65 or -3a- >-2
So, we have
7a ≥ 70 or -3a- >-2
Divide by the coefficient of a
a ≤ 10 or a < 2/3
a ≤ 10 is a super set of a ≤ 10
So, we have
a ≤ 10
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Can some some help me with this one?
Answer: 7.5 x 10^3 is the answer.
Step-by-step explanation: First, 7.5 x 10^9 is 7500000000. Next, if you convert it to kilometers you would get 7500. And, 7.5 x 10^3 = 7500. Thus, that is the answer.
If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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2 1 3 x=-3x+5 2 What is the first step to isolate the variable term on one side of the equation? for x? Add 5 to both sides Subtract 5 from both sides Add 1/2x to both sides. Subtract 1/2x from both sides
We have the following expression:
\(\frac{2}{3}x=-\frac{1}{2}x+5\)We need all the terms with the variable "x" on the left side of the equation. The first step to do that is add "(-1/2)x" on both sides of the equation, because that will add with "(-1/2)x" to zero and there will be only constants on the right side.
\(\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5\)\(\frac{2}{3}x+\frac{1}{2}x=5\)calculate the value of the interquartile range for the following subsample: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20.
The value of the interquartile range for the given subsample is 8.
The interquartile range (IQR) is a measure of the dispersion of a set of observations. It is defined as the difference between the third quartile and the first quartile (Q3-Q1). The subsample data is as follows: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20. The interquartile range for the subsample data can be computed as follows:
Step 1: Arrange the data in ascending order: 18, 20, 21, 22, 24, 24, 25, 27, 28, 31, 35, 36.
Step 2: Find the median of the lower half of the data, which is called the first quartile, Q1. Here, the lower half of the data is 18, 20, 21, 22, 24, and 24. Hence, the median of the lower half of the data is the average of the two middle values, which is Q1 = (22 + 21)/2 = 21.5.
Step 3: Find the median of the upper half of the data, which is called the third quartile, Q3. Here, the upper half of the data is 24, 25, 27, 28, 31, 35, and 36. Hence, the median of the upper half of the data is the average of the two middle values, which is Q3 = (28 + 31)/2 = 29.5.
Step 4: Calculate the interquartile range as the difference between the third quartile and the first quartile: IQR = Q3 - Q1 = 29.5 - 21.5 = 8.
Therefore, the value of the interquartile range for the given subsample is 8.
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plzzzz helppp..will give brainliest.
9x + 15 = 3x + 15 x=
Answer:
x=3
Step-by-step explanation:
9x+15=3x+15
subtract 15 from both sides
9x=3x
divide by 3 from both sides
x=3
pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company studying?
The pharmaceutical company uses the quantitative variable to conducts an experiment.
Variables:
A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.
Quantitative Variables - Variables whose values result from counting or measuring something.
Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.
Given,
A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.
And the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.
Here we need to find the kind of variable is the company studying.
Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.
So, the experiment uses the Qualitative Variable.
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show that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9.
An integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9, can be proved by using congruent module system.
Let us first prove that if the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
Let n be a positive integer and let a₀,a₁,a₂,....,ak be its decimal digits.
We know that any positive integer n can be expressed in the following form:
n = a₀ + 10a₁ + 100a₂ + ... + ak * 10k
Notice that each power of 10 is congruent to 1 modulo 9.
Therefore, we have:
n ≡ a₀ + a₁ + a₂ + ... + ak (mod 9)
If the sum of the digits of n is divisible by 9, then n ≡ 0 (mod 9).
This implies that n is divisible by 9.Now, let us prove that if a number is divisible by 9, then the sum of its digits is divisible by 9.
Let n be a positive integer that is divisible by 9. We can write n in the following form:n = a0 + 10a1 + 100a2 + ... + ak * 10k
Since n is divisible by 9, it follows that:n ≡ a₀ + a₁ + a₂ + ... + ak (mod 9)
Because each power of 10 is congruent to 1 modulo 9, we have:
n ≡ a₀ + a₁ + a₂ + ... + ak (mod 9)≡ a0 + 10a1 + 100a₂ + ... + ak * 10k (mod 9)≡ n (mod 9)
This implies that n ≡ 0 (mod 9), which means that the sum of the digits of n is divisible by 9.
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The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.
The graph of function \(f(x) = -2x^2 +6x - 3\) opens down and has a maximum vertex.
The function is given as:
\(f(x) = -2x^2 +6x - 3\)
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function \(f(x) = -2x^2 +6x - 3\) opens down and has a maximum vertex.
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A marble will be drawn from the ba and replaced 100 times
Answer:
What
Step-by-step explanation:
The ratio of boys to girls in a group is 6:1. If there are 50 more boys than girls, work out how many boys there are.
Answer:
the was 60 boys in the group
Answer:
There are 60 boys.
Step-by-step explanation:
Multiply both by 10 and you get 60 boys and 10 girls. there are 50 more boys than girls.
the car is traveling along the road with a speed of v=(2s) m/s, where s is in meters.
The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.
In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.
We have to determine the tangential and normal components of the acceleration when s = 10 m.
Speed (v) = 2s
Motion is circular so, Radius of circle = 50m
Tangential acceleration = dv/dt
Tangential acceleration = d(2s) / dt
Tangential acceleration = 2(ds)/dt
Tangential acceleration = 2v
Tangential acceleration = 2(2s)
Tangential Acceleration = 4s
As given s = 10 m
Tangential acceleration = 4 x 10
Tangential acceleration = 40 m/s^2
Normal acceleration = v^2/ r
Normal acceleration = 4s^2/r
Normal acceleration = {4 x 10^2}/50
Normal acceleration = {4 x 100}/50
Normal acceleration = 400/50
Normal acceleration = 8 m/s^2
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The complete question is:
A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle
i need help with this problem
Answer: Yes. for each input there is exactly
ONE output
Step-by-step explanation:
I did the test and it was true.
Find the area of a sector of a circle with radius 7 cm and and central angle 240°.
Answer:
103 cm^2
i just took the quick check
PLEASE HELP 20 POINTS
The points (4,0) and (7,6) lie on a particular line. What is its equation in slope-intercept form of this line?
Answer:
y=2x-8
Step-by-step explanation:
To write the equation in slope intercept form y=mx+b you need a slope and the y-intercept. We will calculate the slope and then substitute it and a point into the point slope form . Simplifying this form y-y1=m (x-x1) will result in slope intercept form.
Calculate the slope by subtracting the y values and x values of the points.
m= 6-0/7-4= 6/3=2
The slope is 2. Choose one point to use the slope with in the point slope form. Then substitute and simplify.
y-0=2(x-4)
y=2x-8
There are 55 balloons at a party, 25 blue and 30 green. What is the ratio of
blue balloons to green balloons at the party?
Answer: 5:6
Explanation: We have 55 balloons. So, that means we must figure out a common factor between 25 and 30. That means the only factor is 5. So, that means after each 5 blue balloons there will be there will be 5 green balloons.
Are the ratios 2:1 and 12:7 equivalent?
Answer
A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent ratios.
Hope this helps you ;]
Step-by-step explanation:
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
In step one she has added 1x to each side of the statement
in step two she has taken five away from both sides of the equation therefore simplifying the entire equation
in step three she divided both sides by three to have the unknown value on one side of the equation
Rewrite in simplest terms: -8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)
Answer:
-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)
Distribute to remove the parentheses.
Collect like terms
-154y+170
Step-by-step explanation:
Evaluate 9/m+4 when m = 3.
Answer:
9/3+4=
4+3=
7
Step-by-step explanation:
Because of order of operations, we have to divide first. Then we will add the quotient with 4. If m=3, then we will replace m with 3.
9/3 is 3. Now we add.
3+4=7.
---
sorry if this doesn't help
In one day you earn $75
for 8 hours of work. If
you work 37.5 hours for
the week, what will your
weekly pay be?
Answer:
2812.5
Step-by-step explanation:
what is the theoretical probability of a coin toss results in one head and one tail showing?
Answer:
However, the likelihood of getting one head and one tail (in any order) is 2 in 4 (. 5). Note: the probability of a coin flip does not depend on what has happened in previous flips; this is very important !!
Step-by-step explanation: