14,15,3,15,14,14,18,15,8 mean ,mode,median determine which measure of center best represenrs the data
Answer:
Mean: 12.9
Mode: 14,15
Median: 14
Step-by-step explanation:
Solve for x: 3 (square root2-2x)+1=13
Answer:
x=7
Step-by-step explanation:
3√(2-2x) + 1 = 13
subtract 1 from both sides
3√(2-2x) = 12
Divide 3 from both sides
√2-2x= 4
square both sides
2-2x = 16
subtract 2 from both sides
2x= 14
x=7
Simplify the expression. 16 • 4–4
a)256
b)–256
c)1/16
d)–4,096
Answer: C) 1/16
Hope this helps :)
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer:
The slope of the line is -1
Step-by-step explanation:
You need to use the slope formula
Slope Formula: y2 - y1 / x2 - x1
**The numbers represent subscripts but the subscripts aren't on computers**
Your Coordinate Points:
(7, -3) and (3, -7)
Do -7 - (-3) / 3-7
First, do -7 - (-3)
The negatives cancel to an addition problem.
-7 + 3
Now do -7 + 3. This is a subtraction problem that should be negative.
-7 + 3 = -4
Next, do 3 - 7
That should be 4
-4/4 is what we have right now.
Do -4 divided by 4 which has to contain a negative.
That is simply -1.
The slope of the line is -1
Adam earns $36 for every four hours of work how long will it take him to earn $144
Answer:
It will take 16 hours to earn $144.
Step-by-step explanation:
If Adam earns $36 in 4 hours,
36 = 4k
k = 9
Therefore, expression for total earnings will be,
y = 9x
a). For y = $144, 144 = 9x x = 16 hours
Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.
Answer:
make it clearer
Step-by-step explanation:
solve for the missing side
please be quick
Answer:
x=5
Step-by-step explanation:
12^2+x^2=13^2
144+x^2=169
x^2=169-144
x^2=25
x=5
Answer:
5in
Step-by-step explanation:
Sides known=12,13
According to Pythagoras theorem
H²=P²+B²
(13)²=(12)²+(x)²
169=144+x²
169-144=x²
25=x²
x=√25
x=5in
PLS MARK IT AS BRAINLIEST
Using the formula S = P(1 + r)t, where P is the original principal, r is the annual interest rate, and t is the number of years, what is the investment savings, S, if P = $14,500.00, r = 7.5%, and t = 5 years?
[tex]~~~~~~ \textit{Savings Earned Amount} \\\\ S=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$14500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &5 \end{cases} \\\\\\ S=14500\left(1+0.075\right)^{5}\implies S=14500(1.075)^5\implies A\approx 20816.63[/tex]
Help picture below problem 12
Answer:
isosceles triangle is shown in fig
in addition to the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS criterion?
A . AC=DE
B. m
C.BC=EF
D. m
Answer:
BC = FE
Step-by-step explanation:
given ,
BA = FD and the measure of angle ABC = the measure of angle DFE
If we have BC = FE then according to the SAS criterion the two triangles are congruent
A real estate agent works on a 9% commission. What is her commission on a house that she sold for $691,600?
Answer:
$ 62 244
Step-by-step explanation:
Commission = .09 * 691600 =
i need help 100 points for a question
Answer:
34.28 ftStep-by-step explanation:
Find the length of semicircle
C = πd, circumference of circleC/2 = πd/2 = 3.14*4/2 = 6.28 ftFind the perimeter
P = 4 + 6.28 + 2*12 = 34.28 ftFor rectangle
L=12B=4Perimeter:-
2(L+B)2(12+4)2(16)32ftFor semicircle:-
radius=r=4/2=2ftPerimeter:-
πr2π6.28ftTotal:-
6.28+32-438.28-434.28ftFind the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 2
units up on the parent function f(x)=x|
f(x) = 5x + 4 + 2
c. f(x) = x - 71 +2
a.
+
8
2
& 6t 22
2
4
6
8
2
4
1 T9
99
do
b. fx)= x - 4 + 2
d. None of these
6
Answer:y=x^2 translated 3 to the right gives
y=(x-3)^2, the vertex shifts from (0,0) to (3,0)
translate it 4 up by adding 4
y=(x-3)^2 + 4, this shifts the vertex up to (3,4)
f(x) = (x-3)^2 + 4 or call it
g(x) = (x-3)^2 + 4 if you want to distinguish it from the original f(x) function
Step-by-step explanation:In this question we have been given a function f(x) = |x|
When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|
And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2
Therefore the given graph in option B is the correct option.
Find the slope of
the line.
[?]
Give your answer as
a fraction in simplest
form.
Answer:
hi
7/14
I am sure is that
Answer:
slope is 1/2
Step-by-step explanation:
we rise 1 and run 2 which gives up y=1/2x
Last year, Handy Hardware
Store sold 45,078 bolts and
5,011,542 nails. How many more
nails did the store sell than bolts?
Answer:
5,011,542 nails - 45,078 bolts = 4,966,464 more nails sold than bolts
Step-by-step explanation:
giving branly to the frist one to answer and give the best and right answer
Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0, 6).
Explain Paul’s mistake and write the
correct ordered pair for the new location of............................ your answer
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at https://brainly.com/question/4521517
Find the distance between the two points in simplest radical form.
(3,9) and (-2,4)
Here we would be using distance formula to calculate the distance between those two points.
★ Points are,
(3 , 9)(-2 , 4)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ We have :
x1 = 3
x2 = -2
y1 = 9
y2 = 4
★ Substituting the values :
Refer the attachment.Additional Information :Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Find the sum of the first 21 terms of the arithmetic progression.
−7, −11, −15, . . .
We are given with an AP (Arithmetic Progression) with first term being -7, and the common difference being the difference between any succeding term from any term and the term itself, so common difference = -11 - (-7) = -11 + 7 = -4, so now before finding the sum of 21 terms, let's recall that ;
[tex]{\boxed{\bf{S_{n}=\dfrac{n}{2}\{2a+(n-1)d\}}}}[/tex]Where, d is the common difference, a is the first term, and n is the number of terms and [tex]{\bf S_n}[/tex], being the sum of n terms, so putting all the values in the formula, we will have ;
[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}\{2\times -7+(21-1)-4\}}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}(-8+20\times -4)}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-8-80)}{2}}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-88)}{2}}[/tex]
[tex]{:\implies \quad \sf S_{21}=-21\times 44}[/tex]
[tex]{:\implies \quad \boxed{\bf{S_{21}=-924}}}[/tex]
which has a greater magnitude 17 ft above sea level or 11 ft
Answer:
1 - 52= 52 33= 33 52 > 33, so -52 dollars has the greater magnitude. 1 - 141 = 14 [23] = 23 14 < 23, so 23 feet has the greater magnitude.
Step-by-step explanation:
Hope This Helps
Can yo solve this ones, please? in adittion, can you put answers and the process. The topic are area down the curve
1) The net area between the two functions is 2.
2) The net area between the two functions is 4/3.
3) The net area between the two functions is 17/6.
4) The net area between the two functions is approximately 1.218.
5) The net area between the two functions is 1/2.
How to determine the area between two functions by definite integrals
The area between the two curves is determined by definite integrals for a interval between two values of x. A general formula for the definite integral is presented below:
[tex]A = \int\limits^{b}_{a} {[f(x) - g(x)]} \, dx[/tex] (1)
Where:
a - Lower limitb - Upper limitf(x) - "Upper" functiong(x) - "Lower" functionNow we proceed to solve each integral:
Case I - [tex]f(x) = \sqrt{x}[/tex] and [tex]g(x) = x^{2}[/tex]The lower and upper limits between the two functions are 0 and 1, respectively. The definite integral is described below:
[tex]A = \int\limits^1_0 {x^{0.5}} \, dx - \int\limits^1_0 {x^{2}} \, dx[/tex]
[tex]A = 2\cdot (1^{1.5}-0^{1.5})-\frac{1}{3}\cdot (1^{3}-0^{3})[/tex]
[tex]A = 2[/tex]
The net area between the two functions is 2. [tex]\blacksquare[/tex]
Case II - [tex]f(x) = -4\cdot x[/tex] and [tex]g(x) = x^{2}+3[/tex]The lower and upper limits between the two functions are -3 and -1, respectively. The definite integral is described below:
[tex]A = - 4 \int\limits^{-1}_{-3} {x} \, dx - \int\limits^{-1}_{-3} {x^{2}} \, dx - 3 \int\limits^{-1}_{-3}\, dx[/tex]
[tex]A = -2\cdot [(-1)^{2}-(-3)^{2}]-\frac{1}{3}\cdot [(-1)^{3}-(-3)^{3}] -3\cdot [(-1)-(-3)][/tex]
[tex]A = \frac{4}{3}[/tex]
The net area between the two functions is 4/3. [tex]\blacksquare[/tex]
Case III - [tex]f(x) = x^{2}+2[/tex] and [tex]g(x) = -x[/tex]The definite integral is described below:
[tex]A = \int\limits^{1}_{0} {x^{2}} \, dx + 2\int\limits^{1}_{0}\, dx + \int\limits^{1}_{0} {x} \, dx[/tex]
[tex]A = \frac{1}{3}\cdot (1^{3}-0^{3}) + 2\cdot (1-0) +\frac{1}{2}\cdot (1^{2}-0^{2})[/tex]
[tex]A = \frac{17}{6}[/tex]
The net area between the two functions is 17/6. [tex]\blacksquare[/tex]
Case IV - [tex]f(x) = e^{-x}[/tex] and [tex]g(x) = -x[/tex]The definite integral is described below:
[tex]A = \int\limits^{0}_{-1} {e^{-x}} \, dx+ \int\limits^{0}_{-1} {x} \, dx[/tex]
[tex]A = -(e^{0}-e^{1}) + \frac{1}{2}\cdot [0^{2}-(-1)^{2}][/tex]
[tex]A \approx 1.218[/tex]
The net area between the two functions is approximately 1.218. [tex]\blacksquare[/tex]
Case V - [tex]f(x) = \sin 2x[/tex] and [tex]g(x) = \sin x[/tex]This case requires a combination of definite integrals, as f(x) may be higher that g(x) in some subintervals. The combination of definite integrals is:
[tex]A = \int\limits^{\frac{\pi}{3} }_0 {\sin 2x} \, dx - \int\limits^{\frac{\pi}{3} }_{0} {\sin x} \, dx + \int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin x} \, dx -\int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin 2x} \, dx[/tex]
[tex]A = -\frac{1}{2}\cdot (\cos \frac{2\pi}{3}-\cos 0)+(\cos \frac{\pi}{3}-\cos 0 ) -(\cos \frac{\pi}{2}-\cos \frac{\pi}{3} )+\frac{1}{2}\cdot (\cos \pi-\cos \frac{2\pi}{3} )[/tex]
[tex]A = \frac{1}{2}[/tex]
The net area between the two functions is 1/2. [tex]\blacksquare[/tex]
To learn more on definite integrals, we kindly invite to check this verified question: https://brainly.com/question/14279102
Enter the solution (x, y) to the system of equations shown.
y=4x−3
y=−x−13
Answer:
x=-2
y=-11
Step-by-step explanation:
4x-3=-x-13
5x-3=-13
5x=-10
x=-2
y=4(-2)-3
y=-11
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain and show your work.
ANSWER BOTH PARTS YOU MAY GET EXTRA POINTS!
Step-by-step explanation:
1) if the initial figure ABCD, then the figure A'B'C'D' is reduction of the initial one.
2) the scale factor is 0.5: the ratio of all the corresponded coordinates is 2:1 [D(8;4) - D'(4;2); C(4;0)-C'(2;0); B(0;-2)-B'(0;-1) and A(-4;4)-A'(-2;2)].
Mark the quadrilaterals ABcD and A'B'C'D'
The image is reduced in size hence it's reduction
Take 2 sides two calculate scale factor
AD=12unitsA'D'=6unitsScale factor:-
6/121/25 divided by 2 1/7
Simplest form
Answer: 2 1/3
Step-by-step explanation:
We first convert this to mixed number: 5/1 / 15/7
Then cross cancel and factor to get 7/3.
Lastly we convert this back to a mixed number.
So we get 2 1/3 or 0.667 (decimal)
what is the median mean mode and range of 1,3,5,8,10?
Answer: median: 5
mode: 5.4
Range: 9
Step-by-step explanation:
Median: middle of the numbers
Mode: Add them all together and divide by number of terms
Range: Most minus least
What is the area of the obtuse triangle given below?
6, 18
Answer:
54
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (6)(18)
A = 1/2 (108)
A = 54
Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.
A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.
The area of triangle is 1/2×Base×Height
Half base times of height
Area of triangle=1/2×6×18
=54 square units
Area is 54 square units.
Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
To learn more on Triangles click:
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if p + 2q = 40 find Q when p = 16
Plug in the value of p:-
16+2q=40
Subtract 16 from both sides:-
2q=40-16
2q=24
Divide both sides by 2:-
q=12 ✓
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Select ALL of the expressions that are equivalent to 4√5.
A. 2√20
B. 6^1/2-5^1/2
c. 3*5^1/2+5^1/2
D.4*5^1/2
E.2√10
F.3*5^1/2
Answer:
A, C, D
All 3 of those simplfiy to 4√5
can someone help me really please
Answer:
5/6
Step-by-step explanation:
since there already is a common denominator all you have to do is add the numerators
What are the zeros of the function below?
F(x) = 8x(x-6)/(x+2)(x+9)
Answer:
x = 0, 6
Step-by-step explanation:
8x(x-6) = 0
x = 0, 6
1 point
2. Three boards are unloaded into the factory.
А
B
С
Board A is three times the length of board C, plus 5 inches. Board B is two
times the length of board C, plus 3 inches. The total length of all three boards
is 104 inches. How long is each board?
Your answer
??