Match the median to the data set.
101, 108, 98, 105, 94. 106
median = 103
98, 100, 103,107, 108, 112
-a
median 105
93, 96, 98, 101, 104
-0
median = 98
Answers
Answer:
First one: median= 98
Second one: median= 105
Thrid one: median= 103
Step-by-step explanation:
The median is the middle number.
Related Questions
Course challenge
You might need: Calculator
Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of 4/9
What is the value of X?
Answers
Answer:
x=36
Divide the corresponding side (16) by 4/7
Answer:
x=36
Divide the corresponding side (16) by 4/7
Step-by-step explanation:
x=16×9/4=36
37+6x-33-7x
i need help i cant find the answer
Answers
Answer:
By simplifiying the expression we get
−x+4
Answer:
-x+4
Step-by-step explanation:
Subtract: 37-33
Combine like terms: 6x-7
Rearrange terms: -x+4
504,047 written in expanded form
Answers
Answer:
500,000 + 4,000 + 40 + 7
BRAINLIEST please if this helped!" Laurent Series "
Expand:
[tex] f(z) = \frac{ {e}^{ {z}^{2} } }{ {z}^{3} } [/tex]
Answers
Recall that for all [tex]z\in\Bbb C[/tex],
[tex]\displaystyle e^z = \sum_{n=0}^\infty \frac{z^n}{n!}[/tex]
Then
[tex]\displaystyle \frac{e^{z^2}}{z^3} = \frac1{z^3} \sum_{n=0}^\infty \frac{z^{2n}}{n!} = \boxed{\sum_{n=0}^\infty \frac{z^{2n-3}}{n!}}[/tex]
Someone please help!
Answers
Step-by-step explanation:
<1 = 180°-102° = 78° (the extended angle is 180°)
<2 = <5 = 58°
<3 = 180° - 78° - 58° = 44° (the sum of the angles inside of a triangle is 180°)
<4 = 180° - 44° - 58° = 78° = <1 (the extended angle is 180°)
Find the maximum rate of change of the function f (x, y) = x^2y^2 + xy −10 at the
point (1, 1), and the direction in which it occurs.
Answers
Answer:
The maximum rate of change of the given function is equal to 3√2.
The direction at which the vector points is given by the unit vector [tex]\displaystyle \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j}[/tex].
General Formulas and Concepts:
Pre-Calculus
Vectors
Unit Vector:[tex]\displaystyle \frac{\overline{v}}{|\overline{v}|}[/tex]
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Multivariable Calculus
Partial Derivatives
Gradient:
[tex]\displaystyle \nabla f(x, y, z) = \frac{\partial f}{\partial x} \hat{\i} + \frac{\partial f}{\partial y} \hat{\j} + \frac{\partial f}{\partial z} \hat{\text{k}}[/tex]
Gradient Property [Addition/Subtraction]:
[tex]\displaystyle \nabla \big[ f(x) + g(x) \big] = \nabla f(x) + \nabla g(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle f(x, y) = x^2y^2 + xy - 10[/tex]
[tex]\displaystyle \text{Point} \ (1, 1)[/tex]
Step 2: Find Maximum Rate of Change
[Function] Take gradient:[tex]\displaystyle \nabla f(x, y) = \frac{\partial}{\partial x} \bigg[ x^2y^2 + xy - 10 \bigg] \hat{\i} + \frac{\partial}{\partial y} \bigg[ x^2y^2 + xy - 10 \bigg] \hat{\j}[/tex][Gradient] Rewrite [Gradient Property - Addition/Subtraction]:
[tex]\displaystyle \nabla f(x, y) = \bigg[ \frac{\partial}{\partial x} x^2y^2 + \frac{\partial}{\partial x} xy - \frac{\partial}{\partial x} 10 \bigg] \hat{\i} + \bigg[ \frac{\partial}{\partial y} x^2y^2 + \frac{\partial}{\partial y} xy - \frac{\partial}{\partial y} 10 \bigg] \hat{\j}[/tex][Gradient] Differentiate [Derivative Rule - Basic Power Rule]:
[tex]\displaystyle \nabla f(x, y) = \bigg( 2xy^2 + y \bigg) \hat{\i} + \bigg( 2yx^2 + x \bigg) \hat{\j}[/tex][Gradient] Substitute in point:
[tex]\displaystyle \nabla f(1, 1) = 3 \hat{\i} + 3 \hat{\j}[/tex][Gradient] Take magnitude:
[tex]\displaystyle \bigg| \nabla f(1, 1) \bigg| = \boxed{3 \sqrt{2}}[/tex]
∴ the maximum rate of change of the given function f(x, y) is equal to 3√2.
Step 3: Find Direction
[Gradient] Convert to unit vector:[tex]\displaystyle \text{Direction} = \boxed{ \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j} }[/tex]
∴ we have found the direction of the gradient.
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Learn more about gradient: https://brainly.com/question/6158243
Learn more about multivariable calculus: https://brainly.com/question/2407209
---
Topic: Multivariable Calculus
Unit: Directional Derivatives
Help please please WILL MARK BRAINIEST
Answers
Let's consider the information given:
states that this is a regular polygon⇒ means that all the side lengths are equal
this is a hexagon since it has six sidesTo calculate the area of the hexagon:
⇒ must know the formula
[tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]
s: length of one side --> 7 unitsLet's solve: (remember we need to round the final answer to the nearest hundredth)
[tex]Area = \frac{3\sqrt{3} }{2} *7^2=73.5\sqrt{3} =127.306[/tex] ≈ 127.31 square units
Answer: 127.31 square units
Hope that helps!
Write an equation in slope-intercept form of the line shown.
An equation is
Answers
Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4
Slope intercept equationThe slope intercept equation can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
(-4, 0)(1, -5)
m = -5 - 0 / 1 + 4 = -5 / 5 = -1
Therefore, let's find b using (1, -5)
-5 = -1(1) + b
-5 = -1 + b
b = -5 + 1
b = -4
Therefore, the equation is y = -x - 4
learn more on slope intercept equation here: https://brainly.com/question/21010520
In a line of boys,Peter is the 11th from either side of the line. how many boys are in the line 5pionts because its simple
Answers
Answer: 21
Step-by-step explanation:
How do I find the mean of these numbers
Answers
Answer:
add all of them together (x and y’s) the divide the sum by the amt of numbers
Step-by-step explanation:
Answer:
1. 0
2. -2.5
3. 5
4. -2.5
5. -4
Step-by-step explanation:
Did this by adding the scores together and then dividing by the number of scores added
Forces with magnitudes of 2000 newtons and 900 newtons act on a machine part at angles of +45degrees and -60degrees respectively, with the right side of the x-axis. Find the direction and magnitude of the resultant of these forces.
Answers
Answer:
First,you need to find the components of each force.
Write the mixed number as an improper fraction 2 3/10
Answers
Answer:
23/10
Step-by-step explanation:
and put the denominator as it is
[tex]\boxed{\rm{pls\:refer\:to\:explanation}}[/tex]
Step-by-step explanation:
First multiply the whole part (2) times the denominator (10) :
20
Add the numerator (3) :
23
That's the numerator of our improper fraction .
The denominator stays the same .
So the answer is :[tex]\boxed{\frac{23}{10}}[/tex]
[tex]\footnotesize\text{hope\:helpful}[/tex]
Help?? um i can’t select multiple pics so..the other two Drop down menus say ..
A) (x - 5)(x - 1)
B) (x + 5)(x + 1)
C) x-1
D) x-5
—-
A) -1
B) 5
C) 2
D) -5
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x^2 -3x-10}{x^2 -6x+5}[/tex] × [tex]\frac{x-2}{x-5}[/tex] = [tex]\frac{(x-5)(x+2)}{(x-5)(x-1)}[/tex] × [tex]\frac{x-2}{x-5}[/tex] = [tex]\frac{(x+2)(x-2)}{(x-1)(x-5)}[/tex] ( Domain is x ≠ 1 and x ≠ 5 )
The expression has an excluded value of x = 5
(12-3)\times6+(3\times7)
Answers
Answer:
The answer is 75
Step-by-step explanation:
Subtract: 12 - 3 = 92. Multiple: 9 * 6 = 54
3. Multiple: 3 * 7 = 21
4. Add: the result of step No. 2 + the result of step No. 3 = 54 + 21 = 75
Hoped this helped!
Solve the following quadratic equation: x^2-10x+25=51
please show steps i don’t understand
Answers
1. Simplify the quadratic equation into its standard form
Formula : ax^2+bx+c=0
Subtract from both sides:
x^2-10x+25=51
x^2-10x+25-51=0
x^2-10x-26=0
Use the standard form, ax^2+bx+c=0, to find the coefficients of our equation.
x^2-10x-26=0
a=1
b=-10
c=-26
The quadratic formula gives us the roots for ax^2+bx+c=0, in which a, b and c are numbers (or coefficients), as follows :
x=(-b±sqrt(b^2-4ac))/(2a)
to get the result :
x=(10±sqrt(204))/2
Simplify 204 by finding its prime factors:
The prime factorization of 204 is 2^2*3*17
x_2=-2.141
Answer:
x = 5 ± √51
Step-by-step explanation:
x² - 10x + 25 = 51
x² - 10x + 25 - 51 = 51 - 51
x² - 10x - 26 = 0
Factors with a product of -26 and a sum of -10:
NONE! Solve by completing the square (see attachment)
Step 1: Rearrange
x² - 10x + 25 = 51
x² - 10x = 26
Step 2: Add (b/2)² to both sides
x² - 10x + (-10/2)² = 26 + (-10/2)²
x² - 10x + 25 = 51
Step 3: Factor and solve
(x - 5)² = 51
x - 5 = √51
x = 5 ± √51
BRAINLIEST please if this helped!2/4×5/2
please answer fast
Answers
Answer: 10/8 = 1 1/4
Step-by-step explanation:
2x5 =10
4x2 =8
10/8= 1 2/8 = 1 1/4
Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to two decimal places if necessary.
Answers
Answer:
y = 1
Step-by-step explanation:
Given
y ∝ x⁴⇒ y = kx⁴
Finding the proportionality constant, k
y = 16 and x = 316 = k (6)⁴16 = 1296kk = 16/1296k = 1/81Finding y
y = 1/81 x (3)⁴y = 1/81 x (81)y = 1What is the solution to the inequality |2x – 3| > 5?
Answers
Answer:
x > 4 or x < -1
Step-by-step explanation:
[tex]2x - 3 > 5[/tex]
[tex]2x > 8[/tex]
[tex]x > 4[/tex]
[tex]2x - 3 < - 5[/tex]
[tex]2x < - 2[/tex]
[tex]x < - 1[/tex]
what digit 5 sits in this number 725,069
Answers
Answer:
The digit 5 is equal to is 5,000 :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The thousandth digit!
Step-by-step explanation:
Determine the period
Answers
Answer: 8
just guessed it
Keith is the owner of a cafe. He bought 28.6 pounds of apples for making pies. Apples cost$1.75 per pound. He also bought a can of chocolate syrup for $27.75. What was the amount that Keith spent?
Answers
Answer:
$77.514
Step-by-step explanation:
28.6 x 1.74 + 27.75 = 77.514
In your own words describe how to find the area of a composite
figure? What are the steps you would take to solve a problem like
this?
HELP PLS ILL MAKE THE BRAINIEST SAY THANKS AND RATE 5 STARS JUST HELP ME IN LIKE 5 - 10 MIN PLS!
Answers
Answer:
A=LxW
Step-by-step explanation:
cut the shape into easier pieces then go to one piece and x the W with the L for example 4x5 then x them and youll get your area like this A=LxW = 20=4x5 like that then do the same for the other pieces then once you x them all add them and youll get the whole area for your shape
hoped it helped :)
You recently discovered that your job provides a 30% matching towards your retirement. If you deposit $300 each month into a retirement account with an APR of 5.50%, what would you type in Excel to find the balance after 25 years?
Answers
Answer:
Total amount of every money dat I have deposited
Frenza is planning an $160,000 expansion to launch a new product line. Frenza currently earns $100,000 in net income, and the new product line will yield $50,000 in additional income before any interest expense. Frenza has three options: (1) do not expand, (2) expand and issue $160,000 in debt that requires payments of 8% annual interest, or (3) expand and raise $160,000 from equity financing. For each option 1, 2, and 3, compute (a) net income and (b) return on equity (Net income ÷ Equity). Ignore any income tax effects. (Round "Return on equity" to 1 decimal place.) Show less 1 2 3 Don’t Expand Debt Financing Equity Financing Income before interest expense $92,000 Interest expense 0 12,800 0 Net income $100,000 Equity $400,000 $400,000 Return on equity % % %
Answers
Based on the current income to Frenza, and the proposed expansion amount, the net income and return on equity for the three options are:
Don't Expand:
Net income = $100,000.Return on equity = 25%.Debt financing:
Net income = $137,200.Return on equity = 34.3%.Equity financing:
Net income = $150,000.Return on equity = 26.8%.What happens if Frenza doesn't expand?Net income will remain at $100,000.
Return on equity would be:
= Net income / Equity
= 100,000 / 400,000
= 25%
What happens if Frenza uses debt financing?Income goes to $150,000.
Net income:
= Income - interest
= 150,000 - (8% x 160,000)
= $137,200
Return on equity:
= 137,200 / 400,000
= $34.3%.
What happens if Frenza uses equity financing?Income goes to $150,000.
No interest payment so net income is $150,000.
Return on equity:
= 150,000 / (400,000 + 150,000 new equity)
= 26.8%
Find out more on return on equity at https://brainly.com/question/1427854.
Goran is running for president of the chess club, and he received 24 votes. There are 40 members in the club. What percentage of the club members voted for Goran?
Answers
Answer:
60%
Step-by-step explanation:
[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]
Given:
value = 24 votesTotal value = 40 membersSubstituting these into the formula:
[tex]\implies \sf \left(\dfrac{24}{40}\right) \times 100=0.6 \times 100 = 60 \%[/tex]
Therefore, 60% of the club members voted for Goran.
A 9 ft. ladder leans against the side of a house. The bottom of the ladder is 6 ft. from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.
Answers
Answer:
15 ft
Step-by-step explanation:
I'm not sure but I think u add them together to get ur answer
hope it helps
can someone help me with this?
Answers
Answer:
f(x) = 2 -2^x
Step-by-step explanation:
The graph has a horizontal asymptote at y = 2. It has a slope that doubles in each unit interval. This tells you it is an exponential function with a base of 2, and a vertical translation of 2. The curve downward, rather than upward, means the function has been reflected across a horizontal line.
__
vertical shiftAn exponential function of the form ...
y = a·b^x
will have a horizontal asymptote at y=0. The asymptote here is y=2, so 2 has been added to the function value.
base valueThe slope of the above function (y=a·b^x) will be multiplied by a factor of 'b' when x increases by 1. Your graph has a slope (rise/run) of -1 for x between 0 and 1, a slope of -2 for x between 1 and 2, and a slope of -4 between x=2 and 3. This behavior indicates that b=-2/-1 = -4/-2 = 2.
scale factorThe function so far looks like ...
y = a·2^x +2
Using x=0, we can find the value of 'a'.
1 = a·2^0 +2
-1 = a . . . . . . . . subtract 2
Then the function is ...
f(x) = -2^x +2
If the area of the rectangle is twenty-four-and-thirty-two-hundredths square inches, what’s the measurement of the width?
Answers
Answer:
Can't answer this without knowing the height of the rectangle ...
Step-by-step explanation:
Answer: 3.2
Step-by-step explanation: Trust me, I got it right.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
24:37
Simplify the ratio by dividing by the GCF, in this case, two.
[tex]\frac{48 / 2}{74 / 2} = \frac{24}{37}~also~known~as~24:37[/tex]
If a point P is moving such that the lengths of the tangents drawn from P to the circles
[tex]x^2+y^2-4x-6y-12=0[/tex]
and
[tex]x^2+y^2+6x+18y+26=0[/tex]
are in the ratio 2:3 then find the equation of the locus of P.
Answers
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-[tex]\sf{(x_{1} \: - y_{1})[/tex]
→ Explanation :-[tex]\sf{Equations \: of \: the \: circles \: are:}[/tex][tex]\sf{S = x^2 \: + \: y^2 \: - \: 4x \: - \: 6y \: - \: 12 = 0}[/tex]
[tex]\sf{S_{1} = y^2 \: + \: y^2 \: + \: 6x \: + \: 18y \: + \: 26 = 0}[/tex]
[tex]\sf{P(x_{1}, \: y_{1}) \: is \: any \: point \: on \: the \: locus \: and \: PT_{1,} \: PT_{2} \: are \: the \: tangents \: from \: P \: to \: the \: two \: circles.[/tex]
[tex]\sf{Given \: condition \: is:}[/tex][tex]\sf{\frac{PT_{1}}{PT_{2}} = \frac{2}{3}[/tex][tex]\sf{3PT_{1} \: = \: 2PT_{2}[/tex][tex]\sf{3(x^2 \: + \: y^2 \: - \: 4x \: - \: 6y \: - \: 12) = 2(x^2 \: + \: y^2 \: + \: 6x \: + \: 18y \: + 26)[/tex]
[tex]\sf{3x^2 \: + \:3 y^2 \: - \: 12x \: - \: 18y \: - \: 36 = 2x^2 \: + \: 2y^2 \: + \: 12x \: + \: 36y \: + 52}[/tex]
[tex]\sf{x^2 \: + \: y^2 \: - \: 24x \: - \: 54y \: - \: 88 = 0}[/tex]
[tex]\sf{This \: is \: the \: locus \: P \: \sf{(x_{1} \: - y_{1})[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
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