Answer:
50Step-by-step explanation:
Quantity 3 plus the square root of negative 16 end quantity:
3 + √-16Quantity 6 minus the square root of negative 64 end quantity:
6 - √-64Multiply the two above:
(3 + √-16)(6 - √-64) = (3 + 4√-1)(6 - 8√-1) = (3 + 4i)(6 - 8i) = 3*6 - 3*8i + 6*4i - 4i*8i = 18 - 24i + 24i - 32i² = 18 - 32(-1) = 18 + 32 = 50Consider the function f whose graph is shown below. Find f(-2)
Answer:
Step-by-step explanation:
See the picture below
What inequality does this number line show?
How do I write 680,705 in expanded form.
Answer:
600,000+80,000+700+5
Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
The 10 hypothetical numbers which meets the conditions given on the question may include :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.
The five number summary of the hypothetical data are:
Median: 6
Minimum: 1
Maximum: 12
Lower quartile: 2.75
Upper quartile: 10
Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.
From the given boxplot shown :
Minimum value = 1
Maximum value = 12
Median = 6
LOWER QUARTILE, Q1 = 4
UPPER QUARTILE, Q3 = 8
IQR = (Q3 - Q1) = 8 - 4 = 4
THE 10 made up numbers :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary for the made up data :
Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6
Minimum: 1
Maximum: 12
First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5
Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10
Interquartile Range: (10 - 2.5) = 7.5
The original data values and hypothetical data have the same minimum and maximum and median values. The hypothetical data has an higher IQR value than the original data.Learn more : https://brainly.com/question/12992903?referrer=searchResults
I need help getting the equation
Answer:
2.5v + 85
v = 12
Step-by-step explanation:
115 - 85 = 30
30 / 2.5 = 12 (He needs to go 12 times)
What is the LCM of 42 and 63?
Please show work! I'm very confused and don't understand.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]
[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]
[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]
[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]Find two positive numbers whose difference is 30 and whose product is 2584.
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
9514 1404 393
Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
Going to sleep goodbye
There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
Please help me and thank you!! Show the steps also please I got 198x
9514 1404 393
Answer:
264x³-66x
Step-by-step explanation:
The order of operations requires this be evaluated as ...
11x(96x÷4x -6) . . . . given
11x(24x·x -6) . . . . . . division inside parentheses
11x(24x² -6) . . . . . . multiplication inside parentheses
264x³ -66x . . . . . multiply by outside factor (use the distributive property)
_____
Additional comment
The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...
((96x)÷4)x = 24x²
You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...
(for x=2) 11×2×(96×2÷4×2-6)
it should give you the result 1980, not 396.
Answer:
= 198x
Step-by-step explanation:
11x × { 96x ÷ 4x -6}
11x × { 24x -6}
264x - 66x
= 198x
You got the correct answer
Give the slope of a line perpendicular to AB
Answer:
m = -1
Step-by-step explanation:
Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].
8-5/7-4
3/3
1
Find the y-intercept.
5 = 1(4) + b
5 = 4 + b
1 = b
So the equation of the line AB is y = x + 1.
The slope of a perpendicular line is the opposite reciprocal of the original line.
1 -> -1/1 -> -1
Best of Luck!
The triangle shown below has an area of 20 units.
Find the missing side.
8.
2
2
units
40 points please help
Answer:
[tex]\huge\boxed{-2}[/tex]
Step-by-step explanation:
Use any two points from the line.
Let them be:
(x1,y1) = (0,-2)
(x2,y2) = (-1,0)
Now,
[tex]\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Question 5
1 pts
Write the equation of a line through (5,1), parallel to y=-*+1
o
Answer:
3rd, y=-1/5x
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZZZZZZZ FAST
Answer:
Three axis given
[tex]\\ \sf\longmapsto \overleftrightarrow{HI}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{EF}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{GJ}[/tex]
Now
All are intersected at one point G
Hope thia help u!!!!!...:/)
How to numerically write five and eight then multiply by 4
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
The product of 6 and 14 more than a number
Answer:
its one i think
Answer:
Here, more than indicates adding, and products means result of multiplication
Thus,
6* 14+x
NOTE: These questions are to be made into an equation with using a variable. That is what i have done but if the questions states something abt the final result we get then we need to solve for x
Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2
Hi there!
We are given:
[tex]4^{\frac{1}{2}x} = 256[/tex]
We can rearrange this into a logarithm:
[tex]log_4256 = \frac{1}{2}x[/tex]
Evaluate the left side:
4 = 1/2x
Multiply both sides by 2:
x = 8
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
Answer:
1360
Step-by-step explanation:
there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.
1. if f(x)=3x-1, find f(-5)
2. if h(x)=2x+3 and g(x)=3-4x, find 3h(1)-g(2)
Answer:
1 f(-5) = 3(-5)-1= – 15 – 1 = – 16
2. h(1) = 2(1)+3=2+3=5
g(2)= 3- 4(2)=3 – 8 = – 5
3h(1) ‐ g(2) = 3 (5) – (-5) = 15 +5= 20
I hope I helped you^_^
Answer:
number 1 =
Let y=f(x)=3x−5
Clearly f(x) is one-one onto function so it is invertible.
y=3x−5 ⇒x = y+5/3
∴f −1 (x)= y+5/3
number 2=
(g-h)= 4x+3-x3-2x3
(g-h)=4(-1)+3-(-1)2-2(-x)2
(g-h)=-4+3-(-1)-2(1)
(g-h)=-4+3+1 -2
(g-h) = 2
hope that helps>3
Step-by-step explanation:
jennifer works at whataburger and earned 168.75 last week. If she worked 22.5 hours, how much does she earn per hour?
Answer:
7.5
Step-by-step explanation:
168.75 divided by 22.5 = 7.5
$7.50 dollars an hour.
7.50 x 22.5 = 168.75
Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.
(Answer quickly)
Answer:
B
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis with an undefined slope
given g(x) = x2−4
find g(-3)
Answer:
Step-by-step explanation:
First we have to match these two terms
g(x)= g(-3)
Now we just replace the -3 with the x
-3^2 - 4
9-4
5 ----> the final answer
(btw the negative turned positive because it is squared)
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?
Answer:
Step-by-step explanation:
P{2 of 4 tagged}=(52)(152)(204)
=0.2167
john has 1 chicken jake took one how much does john have left
Answer:
0 because 1-1=0 and that is the answer
\lim_(x->0)(cos2x)^((3)/(x^(2)))
Answer:
ffffgggghhhuukufgnjsdhn
Answer:
∞
Step-by-step explanation:
since cos(0) = 1, you have 1/0
A. Your friend says that the solutions to the inequality 9x-18x ≥ - 18 are x ≥ 2 Solve the inequality correctly. B. What error did your friend make?
Answer:
A. x≤2; B. wrong unequality after dividing by negative number.
Step-by-step explanation:
9x-18x≥ -18;
-9x≥ -18;
0≥ -18+9x;
18≥9x;
9x≤18;
x≤2.
Walter car gets 41 miles per gallon. Walter is planning a vacation which is 372 miles away. How many gallons of gas will Walter use for this round trip?
Solve for the value of R
Answer:
13
Step-by-step explanation:
Since the angles form 180 degrees, it will be what the equation is equal to.
Make the equation:
8r + 5 + 5r + 6 = 180
Combine like terms:
8r + 5 + 5r + 6 = 180
13r + 5 + 6 = 180
13r + 11 = 180
Solve:
13r + 11 = 180
-11 -11
---------------------
13r = 169
------ ------
13 13
r = 13
Hope this helped.