Answer:
\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)
hope it helps:)
Answer:3x-21
Step-by-step explanation:
\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21
The polynomial p(x)= x3 + 7x2 – 36 has a known factor of (x + 3).
Solve F=9/5C+32 for C.
A.F−32/9
B.5/F−32
C.9/5(F−32)
D.5/9(F−32)
Answer:
C
Step-by-step explanation:
A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.
Complete the two-way frequency table.
Answer:
\(\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right]\)
Step-by-step explanation:
70% of 40 is 28, with that number you can obtain the other data.
What I got is in the image below.
I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.
What are the coordinates of the vertices of the final image? A. P’(12, -6), Q’(8, -7), R’(4, -4), and S‘(7, -1) B. P’(12, 8), Q’(8, 9), R’(4, 6), and S‘(7, 3) C. P’(-12, 6), Q’(-8, 7), R’(-4, 4), and S‘(-7, 1) D. P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)
Answer:
Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.
Now, let's find the new vertices of the dilated image:
Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).
Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).
Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).
Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).
Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).
Step-by-step explanation:
Hope this helps you!! Have a good day/night!!
If you found that the 95% confidence interval to estimate the true proportion of visitors to Niagara Falls that are from the United States was (0.5216, 0.6784), does this provide evidence that a majority of visitors to Niagara Falls are from the United States
Answer:
The lower end of the interval is above 0.5, which means that it provides evidence that a majority of visitors to Niagara Falls are from the United States
Step-by-step explanation:
We want to see if the majority of Niagara Falls visitors are from the United States.
Looking at the confidence interval
We have to see if the lower end of the interval is higher than 0.5.
In this question:
The 95% confidence interval to estimate the true proportion of visitors to Niagara Falls that are from the United States was (0.5216, 0.6784).
The lower end of the interval is above 0.5, which means that it provides evidence that a majority of visitors to Niagara Falls are from the United States
Complete the statements about the following numbers: 2/7, 0.1, 0.9, 6/8. Use the + and - buttons to change how many ticks are displayed. The number represents the amount of even segments between 0 and 1. The point closest to the benchmark 1 is at The point closest to the benchmark O is at How would you order these fractions and decimals from least to greatest? Click or tap and drag to move the dot along the number line. 1 B 2 2 +
To solve the exercise it is easier to convert all the given points to decimals. So,
\(\frac{2}{7}=0.23\)\(\frac{6}{8}=0.75\)Then,
*The point closest to the benchmark 1 is at 0.9.
*The point closest to the benchmark 0 is 0.1.
*Ordering these points from least to greatest you have:
\(\begin{gathered} 0.1 \\ 0.23=\frac{2}{7} \\ 0.75=\frac{6}{8} \\ 0.9 \end{gathered}\)Describe the five-step procedure to graphing logarithmic functions in your own words.
A logarithm function is a function that uses the log keyword, and it is the opposite of an exponential function
The procedure to graph a logarithm functionAssume the logarithm function is:
\(y = a\log_b(x - h) + k\)
Where b represents the base of the function.
Step 1The first step is to determine the vertical asymptote of the function
The vertical asymptote of \(y = a\log_b(x - h) + k\) is:
\(x = h\)
Step 2The second step is to determine the x-intercepts
To do this, we set the function to 0
i.e. \(a\log_b(x - h) + k = 0\)
Step 3The next step is to determine the y-intercepts
To do this, we set the x to 0
i.e. \(y = a\log_b(0- h) + k\)
Step 4The next step is to plot the vertical asymptote, the intercepts and few points on the graph
Step 5Lastly the points that were plotted on the graph must be connected
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Can someone help me as soon as possible please.
Answer:
314
Step-by-step explanation:
10^1=10
10 x 31.4 = n =314
Marcus needs to buy some cabin. At the nearest store, three bags of cat food cost $16.50. How much would Marco spend on five bags of cat food
Answer:
$82.5
Step-by-step explanation:
$16.50 * 5 = $82.5
Answer:
27.50
Step-by-step explanation:
Plzzzzz Answer this its some easy points, I'm legit just dumb.
Answer both questions.
Answer:
A) Each of the smaller donations is $20.
B) The larger donation is greater than the smaller donations by $15.
Step-by-step explanation:
4+4+7 is equal to 15, and divide 75 by 15 to get $5 per part. Multiply 4 by 5 to get $20 for a smaller donation, and 7 by 5 to get $35 for the larger donation. Hope this helped :)
Answer:
Smaller donations each cost $20
The bigger donation is $15 more than the smaller ones.
Step-by-step explanation:
Let 4x be defined as the amount of the smaller donation, and let 7x be defined as the larger amount of the donation. We can then set up an equation:
4x+4x+7x = 75
15x = 75
x = 5
We can now plugin 5 for x to solve for the smaller donation and the larger donation:
Smaller donation = 4*5 = 20
Bigger donation = 7*5 = 35
Now, to find how much greater the bigger donation is, we just subtract 35 from 20, which is 15.
I hope this helped.
Is 40.8 less than or greater than 0.71
Answer: greater than
Step-by-step explanation:
The measures of two angles of a triangle are 29° and 61°. Is the triangle acute, right, or obtuse? Use geometric terms in your explanation.
I need help really bad! I have literally no clue what the answer is to this question
Answer: C is the answer
Answer:
The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value
The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -
An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -
\(\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3\)
And thus, you're solution is 5 cm^3, or in other words option b!
Answer:
The answer is B
Step-by-step explanation:
The scale on a map is 1:320000
What is the actual distance represented by 1cm?
Give your answer in kilometres.
By answering the presented question, we may conclude that Therefore, 1 expressions cm on the map corresponds to a real distance of 3.2 km.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
Scale 1:
320000 means that 1 unit on the map represents his 320000 units in the real world.
To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.
1 kilometer = 100000 cm
So,
1 unit on the map = 320000 units in the real world
1 cm on the map = (1/100000) km in the real world
Multiplying both sides by 1 cm gives:
1 cm on the map = (1/100000) km * 320000
A simplification of this expression:
1 cm on the map = 3.2 km
Therefore, 1 cm on the map corresponds to a real distance of 3.2 km.
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how many 4 digit numbers can I make only using the numbers 5533?
I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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A bag had 100 mangoes. 2/5 are rotten and 1/3 are green. How many mangoes are ripe?
Answer:
about 27 are ripe
Step-by-step explanation:
100 mangos
5*20=100
2*20=40
40 are rotten
3*33=99 which is about 100
1*33=33
33 are green
40+33=73
100-73=27
7th grade math help me pleaseee :)
Answer:
A. A + B (it'll be negative because they're both negative numbers and adding a negative is the same as subtracting a positive)
B. B - A ( It'll be positive because subtracting a negative is the same as adding a positive, and B is closer to 0 so it's a "bigger" number than A. so, adding A to B will make it positive)
Step-by-step explanation:
The explanations are in parenthesis to the right of the answer. they're kind of confusing, but the answers are correct.
how do i find the area of a cone when all i get is radius and theta? radius = 5 theta = 52°
Answer:
11.34464...
Step-by-step explanation:
it is not a 3-dimensional cone, it is a 2-dimensional segment of a circle. and you need to find its area.
which is also why you are asked to find the area, because for a 3-dimensional object you would have been asked about the volume of the surface.
now, about a circle and its segments.
you know how to get the area of a circle ?
it is pi×r²
that is for the full circle.
you know how many degrees it is to go "full circle" ?
360 degrees.
so, here we have only a segment of 52 degrees out of the full 360 degrees.
in other words we are dealing with 52/360 = 13/90 of the full circle.
all we have to do is therefore multiply the area of the full circle with that fraction, and we have our result.
pi×r²×13/90 = pi×5²×13/90 = pi×5×13/18 = 11.34464...
Determine if the two lines are parallel, perpendicular, or neither.
x=5 x=−5
Answer:
Parallel
Step-by-step explanation:
solve this equation
3/5x-2=2/3x-1
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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Evaluate the function for the indicated values of x.
[Look at image]
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
Does the line appear to be a line of
symmetry of the triangle? Explain.
Please and thank you
Answer:
No, the two sides are not congruent.
I flipped my whole laptop around to check loll
What is -7(x+6)+12 if x=7
Answer:
-79
Step-by-step explanation:
-7(x+6) + 12 x = 7
-7( 7 + 6) + 12
-7(13) + 12
-91 + 12
-79
So, the answer is -79
The graph shows the position (distant from home) of a bicycle rider on a 42-minute trip. Letters A through E are time intervals during the trip. The key defines the length of each interval.
Use the equation below to calculate the bicycle rider’s average speed in kilometers per minute for the first 30 minutes of the trip
Distance(km)/time(min) = average speed
The average speed on the first 30 minutes is 0.2 km per min.
How to get the average speed?Here we have the graph for the position of a bycicle rider on a 42-minute trip.
On the vertical axis we can see the position, and on the horizontal axis we can see the time.
Remember that:
speed = distance/time.
To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.
At 30 min we can see that the position is at 6 km, then the speed will be:
S = 6km/30min = 0.2 km per min.
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Given the function below, show all the steps to write the equation of the inverse
F(x)= -44rcsin2x
Step-by-step explanation:
\(f(x) = - 44arc \sin(2x) \)
\(y = - 44 \sin {}^{ - 1} (2x) \)
Swap x and y.
\(x = - 44 \sin {}^{ - 1} (2y) \)
\( - \frac{x}{44} = \sin {}^{ - 1} (2x) \)
Take the sin of both sides
\( \sin( - \frac{x}{44} ) = 2y\)
\( \frac{1}{2} \sin( - \frac{x}{44} ) = y\)
Let y=f^-1(x)
\(f {}^{ - 1} (x) = \frac{1}{2} \sin( - \frac{x}{44} ) \)
The total number of atoms represented by Cd(CH₂CICO₂)2 is:
O a) 13
Ob) 16
O c) 17
Od) 15
Oe) 14
The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.
Cd(CH₂CICO₂)₂ contains:
1 cadmium (Cd) atom
2 carbon (C) atoms
6 hydrogen (H) atoms
4 oxygen (O) atoms
2 chlorine (Cl) atoms
Adding these up, we get:
1 + 2 + 6 + 4 + 2 = 15
Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
The answer is (D) 15.
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Which statements are true of the given function?
Check all that apply.
01²2=2²
Of(0) = 2/1/20
O f(1) = -1
Of(2)=1
□f(4)=1/12/2
Step-by-step explanation:
23 by 13 is the answer cause 23 i s23
The statements that are true of the given function f(x) = 1/2x + 3/2 are:
f(0) = 3/2
f(2) = 7/2
f(4) = 7/2
We have,
Let's evaluate the given function f(x) = 1/2x + 3/2 for the given values of x and check which statements are true:
f(-1/2) = 1/2 * (-1/2) + 3/2 = -1/4 + 3/2 = (6 - 1)/4 = 5/4 = 1.25
Statement: f(-1/2) ≠ 2 (False)
f(0) = 1/2 * 0 + 3/2 = 0 + 3/2 = 3/2
Statement: f(0) = 3/2 (True)
f(1) = 1/2 * 1 + 3/2 = 1/2 + 3/2 = 4/2 = 2
Statement: f(1) ≠ -1 (False)
f(2) = 1/2 * 2 + 3/2 = 1 + 3/2 = 2 + 3/2 = 4/2 + 3/2 = 7/2
Statement: f(2) = 7/2 (True)
f(4) = 1/2 * 4 + 3/2 = 2 + 3/2 = 4/2 + 3/2 = 7/2
Statement: f(4) = 7/2 (True)
Therefore,
The statements that are true of the given function f(x) = 1/2x + 3/2 are:
f(0) = 3/2
f(2) = 7/2
f(4) = 7/2
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bettina is looking for a perfect positive relationship. she will know if she has found one if the correlation coefficient is _________
The correlation coefficient is 0.053, Bettina has not yet found a perfect positive relationship.
The correlation coefficient is a numerical measure of the strength of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative relationship and +1 indicates a perfect positive relationship.
To calculate the correlation coefficient, we use the formula \(r = (Σxy) / √(Σx2 * Σy2)\). Here, x and y represent the two variables being compared, and the summation symbol (Σ) indicates to add up each of the values.
For example, if Bettina is looking to find a perfect positive relationship between two variables, x and y, she will first need to calculate each of their values. Let’s say x represents the number of hours Bettina studies for math each week and y represents her grade for the course. Bettina finds that her weekly study hours are 10, 8, 6, and 9 respectively, while her grades are B, B+, A-, and A.
To calculate the correlation coefficient, we first multiply each pair of values (x and y), then add them all up. In this example, that would be \((10*B) + (8*B+) + (6*A-) + (9*A) = 94\). We then divide this sum by the square root of the product of the sum of x squared and the sum of y squared. In this example, that would be\((10^2 + 8^2 + 6^2 + 9^2) * (B^2 + B+^2 + A-^2 + A^2) = 1764\). When we divide 94 by 1764, we get 0.053.
Since the correlation coefficient is 0.053, Bettina has not yet found a perfect positive relationship.
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