Two times a number plus four is 22. What is the number?
Answer:
9
Step-by-step explanation:
2n+4=22
2n=18
n=9
Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:
For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
What is box and whiskers plot?
Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
The minimum and the maximum values in the box plot is plotted at the end points.
The following set of data which i s given in the problem.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
Min: 3The minimum value in the given data is 3. Thus, the min is 3.
Q1:6First quartile appears at 6. Thus, the value of Q1 is 6.
Med:12The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.
Q3:14.5Second quartile appears at 14.5. Thus, the value of second quartile Q2 is 6.
Max: 17The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.
Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
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What is the surface area of a sphere with radius 4?
O A. 120 units3
B. 167 units2
C. 327 units2
O D. 6410
Answer:
SA =64 pi units ^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
SA = 4 * pi * 4^2
SA =64 pi
SA =200.96
(6x⁴+11x²+9)+(3x²-x⁴-8) please help
Answer:
5x^4+14x^2+1
Step-by-step explanation:
Hope that helps
Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents
Answer:
C
Step-by-step explanation:
[tex]\frac{y^{3/4} }{y^{1/2} }[/tex] Original expression
[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex] Division Property of Exponents
[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex] Find a common denominator (4)
[tex]y^{\frac{1}{4} }[/tex] Simplify
[tex]\sqrt[4]{y}[/tex] Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)
solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c
Answer:
Proved;
See Explanation
Step-by-step explanation:
Given:
Shape: Parallelogram
Sides: b and c
Required:
Show that P = 2b + 2c
Let P represents the perimeter of the parallelogram.
There are 4 sides in a parallelogram where 2 sides are opposite and parallel
Given that two of the side of the parallelogram is b and c; this implies that the next two sides are also b and c.
This means that the sides of the parallogram are b,c,b,c
The perimeter of any shape is calculated by adding the lengths of the shape;
This means that
[tex]P = b + c + b + c[/tex]
Collect like terms
[tex]P = b + b + c + c[/tex]
[tex]P = 2b + 2c[/tex] ------ Proved
Consider the function represented by the graph.
What is the domain of this function?
(A).{x|x>_0}
(B).{x|x<_8}
(C).{x|0<_x<_8}
(D).{x|x<_0x>_8}
Answer: C
Step-by-step explanation:
Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?
Answer:
Coordinates of M = [tex]\left ( -2,4 \right )[/tex]
Step-by-step explanation:
Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)
To find: coordinates of M
Solution:
According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]
Therefore,
[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]
How does the graph show that the rate of change is constant?
A graph has a constant rate of change when the graph is linear and portrays a straight line. The slope will remain constant which forms the straight line in the graph.
Answer:
Because it is a straight line
Step-by-step explanation:
If it changed there would be curves, points, corners, zig zags, since this is straight, that means the R.O.C commonly known as slope, is not changing
I hope this helps u!
Pls give brainliest i had 40 down to 1 for no reason and a thx ;)
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Ten Points For First To Answer Correctly
34 of your books are fiction. 23 of those are historical fiction.
What fraction of your books is historical fiction?
A. 3/12
B. 1/12
C. 5/7
D. 1/2
Answer:
23/34
Step-by-step explanation:
This is guessing you only have fiction books.
I need help asap. For this one I am not sure if it is correct.
If f(x) = 3x - 12, what is f(2)?
O A. -6
O'B. 6
O c. 18
O D. -18
Helppp mee plzzz
Answer:
f(2) = -6
Step-by-step explanation:
f(x) = 3x - 12
Let x =2
f(2) = 3*2 -12
= 6-12
= -6
please be neat and will mark brain.;)
Answer:
the one with 47:is 43
the one with 52 is 38
the one with 63 is 27
and the one with 45 is 45
Step-by-step explanation:
these angles equal to 90
so you must subtract them from 90
Answer:
5: x=43
6: x=38
7: x=27
8: x=45
what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4
Answer:
maximum point: (0, 4)
x-intercepts: (2, 0), (-2, 0)
y-intercepts: (0, 4)
Which of the following is equivalent to RootIndex 5 StartRoot 13 cubed EndRoot? 132 1315 13 Superscript five-thirds 13 Superscript three-fifths
The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].
What is root index?If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex] where 'n' is root index, 'a' is base and '√' is radical".
According to the question,
5 start root 13 cubed end root can be written in root index form.
If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex] where 'n' is root index, 'a' is base and '√' is radical".
= [tex]13^\frac{3}{5}[/tex].
Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].
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Answer: D
Step-by-step explanation:
you're welcome
if my final exam is worth 60 points, and i get an 80%, how many questions did i get right?
Answer:
48
Step-by-step explanation:
Total points = 60
% = 80%
Therefore no. of points right = 80/100×60 = 48
what that answer to 21×-5
Answer: -105
Step-by-step explanation:
21 times -5 will be -105
What are the solutions of x4 + 6X-6= 10?
Answer:
x = 1.6
Step-by-step explanation:
4x + 6x - 6 = 10
10x - 6 = 10
+6 +6
10x = 16
10x/10 = 16/10
x = 1.6
how many integers between 17 and 2678 are multiples of 11
Answer:
242 integers
Step-by-step explanation:
We have to find the number of integers between 17 and 2678 which are the multiple of 11.
Divide 17 by 11 = [tex]\frac{17}{11}=1.55[/tex]
Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22
Divide the largest number 2678 by 11 = [tex]\frac{2678}{11}=243.45[/tex]
Largest multiple of 11 which is less than 2678 = 443rd multiple
= 243 × 11
= 2673
Therefore, number of integers between 17 and 2678 multiple of 11
= 243 - 2 + 1
= 242 integers
Consider the equations of the two lines below:
Line A:
y=-3x - 7
Line B: y = x - 4
Are the lines Parallel, Perpendicular or Neither? Explain.
Answer:
Neither, they have a solution
Step-by-step explanation:
Use a sheet of graphing paper and graph the equation using the y-intercept and slope.
Write the slope-intercept form of the equation. 2y+5x=–1
Answer:
y=-5/2x-1/2
Step-by-step explanation:
HOPE THIS HELPS:)
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Solve the inequality, then identify the graph of the
solution
-3x-3<_6
Answer:
First Part is C
The second part is 0,2,4
Step-by-step explanation:
Edge said so
The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is [tex]-3x-3\leq 6[/tex].
The graph below shows the inequality of the expression.
The solution of the expression is
[tex]-3x-3\leq 6[/tex]
⇒ [tex]-3x\leq 6+3[/tex]
⇒ [tex]-3x\leq 9[/tex]
Divide both sides by -3. Then the inequality will also get changed.
⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]
⇒ [tex]x\geq -3[/tex]
Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
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-12 + 7 would it be 5 -19 - 5 or 19
Step-by-step explanation:
-12 +7
=-5 .
Therefore, 5-19-5
= -19.
In all, -12+7 can not be 5-19 or 19
Please help I really need this answer since I am preparing for my nationals
Will give branliest if it is correct.
Answer: [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]
Step-by-step explanation:
a) First, use the Pythagorean Theorem to find CD:
8² + (CD)² = 10² → CD = 6
d) Next, find OB. Notice that both OB and OC are the radius of the circle.
Using the Segment Addition postulate, we know the radius (r) = CD + DO → DO = r - 6
Use the Pythagorean Theorem for ΔOBD to find OB:
(DO)² + (BD)² = (OB)²
(r - 6)² + 8² = r²
r² - 12r + 36 + 64 = r²
-12r + 100 = 0
100 = 12r
[tex]\dfrac{25}{3}\quad = r[/tex]
c) Now, find AC. Notice that AC is the diameter.
Diameter = 2r
= 2(OB)
[tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]
b) Lastly, find AD. Using the Segment Addition Postulate, we know that
AD + CD = AC → AD = AC - CD
[tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]
A motorboat travels 50 miles downstream in a river, then turns around and travels back to its starting point. The total trip takes 8 hours. The rate of the current in the river is 2miles per hour. Remembering that distance = rate x time, what is the rate of the motorboat in calm water? HELP NEEDED ASAP
A. 0.31 miles per hour
B. 2.08 miles per hour
C. 12.5 miles per hour
D. 12.8 miles per hour
Answer:
The speed of the boat in calm water is 12.8 miles per hour.
Step-by-step explanation:
While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.
[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]
For the upstream:
[tex]time_{up} = \frac{50}{x - 2}[/tex]
For the downstream:
[tex]time_{d} = \frac{50}{x + 2}[/tex]
The sum of each of these times must be equal to "8 h", therefore:
[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]
Since the speed can't be negative in this context, the only possible answer is 12.812 mph.
Answer:
12.8
Step-by-step explanation:
HELP!!
Solve for x in the figure below!
Answer:
x= 9
Step-by-step explanation:
(3x + 4) and 50 are complementary angle
=> (3x + 4) + 50 = 90
-> 3x+4 = 40
-> 3x = 36
-> x= 9
Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)
Answer:
8.25 pounds
Step-by-step explanation:
When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds
6) Name all factors of x3 – 3x2 – 10x.
A. x
B. x + 5
C. x – 5
D. x + 2
E. x – 2
F. 2
G. 5
H. None of the above
its not on edg
Answer:
A. x
C. x – 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
x³ - 3x² - 10x
We would use the step of factorisation
Step 1
x(x² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise x² - 3x - 10
x² +2x - 5x - 10
(x²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
x³ - 3x² - 10x
x(x² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)
Help me ASAP i always give brainliests, and thanks i need u!
Please answer the following not complicated question on finding x
Answer:
4. [tex]11.333...[/tex]
Answer:
Answer is (4) -11.333
Step-by-step explanation:
multiply : 2x /12-4/3= 4x /15 -1/5
bring variable on one side :
2x/12 -4x/15= 4/3 - 1/5
common denominator : -6x/60=17/15
simplify : -x/10= 17/15
x= - 170/15= -11.3333
Convert -3(x+2)^2-10 into standard form.
Please help me
Answer:
Step-by-step explanation:
