Answer:
There are 12 combinations.
Step-by-step explanation:
Options:
1. Silver or Leather
2. Cat or Dog
3. Basketball, baseball, or soccer
Now we need to multiply the options together, so 2 × 2 × 3 = 12.
Simplify the quantity 12 minus three fifths times the square root of 25 end quantity squared plus the quantity 2 minus 4 end quantity squared
Complex numbers are written in the form of a+ib and the simplified form of the expression is 58 which is a real number.
Complex number
Complex numbers are square root of negative numbers. For instance;
√-1 = i
Given the equation
(2 + √-25)(4 - √-100)
From the given expression
√-25 = 5i
√-100 = 10i
Substitute
(2+5i)(4-10i)
Expand
2(4) -2(10i) + 5(4i) - 5i(10i)
8 - 20i + 20i - 50i²
8 - 50(-1)
8 + 50
58
Hence the simplified form of the expression is 58
Learn more on complex number here: https://brainly.com/question/3761525
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Help with this one? Please
Answer:
x = 40
Step-by-step explanation:
The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:
[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]
[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]
Cross multiply
[tex] 24(x - 25) = 9(x) [/tex]
[tex] 24x - 600 = 9x [/tex]
Subtract 24x from each side
[tex] - 600 = 9x - 24x [/tex]
[tex] - 600 = -15x [/tex]
Divide both sides by -15
[tex] 40 = x [/tex]
x = 40
John cuts 3 lawns in 5 hours, and Taylor cuts 5 lawns in 8 hours. Who cuts lawns at a faster rate?
Help what is 95.28 ➗ 1.2
Answer:
79.4
Step-by-step explanation:
Answer:
You know a calculator is a thing, right?
Anyways though, the answer is 79.4.
Step-by-step explanation:
is 25.0657 a rational number
Answer: No
Step-by-step explanation:
25.0657 is a rational number.
Explanation: Rational numbers are whole integers but can also be decimals that repeat or terminate. Decimals with no form of a repeating or terminating pattern are irrational. Because 25.0657 terminates, it’s rational.
please answer this i’ll give brainliest
HELP HELP HELP HELP
Answer:
there is no solutions.
I hope this helps!
:D
Write the equation of the line whose slope is 3 and passes through the point (5, 7). plz show work.
the slope of the line (2,2) and (6,10)
Answer:
2
Step-by-step explanation:
It rose 8 and ran 4 and slope is rise over run.
8/4 = 2
HELPPPP PLZ PLZ PLZ PLZ
Answer:
multiply the length by the width, and then multiply that by the depth
Which point is located at (-3,-2)?
Answer:
the answer is C
Step-by-step explanation:
H HELP ME HELP ME HELP ME HELP HELP MEEEE
Answer:
I think A
Step-by-step explanation:
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
The midpoint of the -8,-6and 2,-10
Answer:
Step-by-step explanation:
(-8 + 2)/2 = --6/2 = -3
(-6 + -10)/2 = -16/2= -8
(-3, -8)
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
Name the shape based
on its attributes.
Please help!!
Answer: The answer is a rectangular pyramid.
Step-by-step explanation: The shape has a square base, with 5 sides. No traingular prism has a sqaure base.
State what additional information is required in order to know what triangles are congruent for the reason given?
Answer: A) JL ≈ HF
SSS means you need to know all three sides are congruent
PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP
Answer:
OOF I MEANT A
Step-by-step explanation:
Michelle is in less debt than John
please answer I will give Brainly , look at the picture I genuinely don’t understand
Answer:
See explanation
Step-by-step explanation:
66: Frequency: 2
Relative Frequency: 2/30=1/15
67: Frequency: 2
Relative Frequency: 2/30=1/15
68: Frequency: 2
Relative Frequency: 2/30=1/15
69: Frequency: 3
Relative Frequency: 3/30=1/10
70: Frequency: 6
Relative Frequency: 6/30=1/5
71: Frequency: 6
Relative Frequency: 6/30=1/5
72: Frequency: 2
Relative Frequency: 2/30=1/15
73: Frequency: 5
Relative Frequency: 5/30=1/6
74: Frequency: 2
Relative Frequency: 2/30=1/15
Identify the independant and dependant variables for The essay instructions were to write three facts about each person listed."
Answer:
The independent variable is the people listed
The dependent variable is three facts each person wrote down.
Factor $25u^2 - 36v^2.$ pls help will give brailiest too who is right!
Answer:
25u2−36v2
Step-by-step explanation:
Maybe I am right search the answer to check me
Answer:
(5u + 6v)(5u - 6v)
Step-by-step explanation:
25u^2 - 36v^2
25u^2 is the square of 5u.
36v^2 is the square of 6v.
This is the difference of two squares.
The difference of two squares follows this pattern.
a^2 - b^2 = (a + b)(a - b)
25u^2 - 36v^2 = (5u + 6v)(5u - 6v)
What conversion factor between cubic inches and cubic yards
Answer:
The conversation factor is 16.387604
Between what two integers does square root of 40,020 lies
Answer:
20 and 21
Step-by-step explanation:
20.04 is the square root and is between 20 and 21
The perimeter of a rectangle is 86cm.
Its shortest side has a length of 15cm.
State the length of the longest side.
could anyone pls help me with this geometry question? :)
thank you soo much for the help :)
Answer: 103 degrees
Step-by-step explanation:
**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.
Angle AMB=Angle M
A/2=
58/2=29 ==> Angle bisector divide an angle by half.
B/2=
96/2=48
29+48+M=180 ==> AMB is a new triangle formed inside triangle ABC.
77+M=180
M=103 degrees
AMB=103 degrees
Factor the expression completely over the complex numbers. X^4-81
Answer:
that person above me is correct give me brainiest to troll them tho lol
Step-by-step explanation:
What is the value of x in the equation x + 5.1 = 0?
A. −5.1
B. 0
C. 4.9
D. I don't know.
Answer:
x + 5.1 = 0
so, x = -5.1
A. -5.1 is the answer.
PLEASE HELP ME (AND DONT STEAL) THANK YOU!!!!
Which point is located at 3/4
Answer:
C
Step-by-step explanation:
It is on the third out of the fourth line, hence 3/4.
hope this helped, pls mark brainliest :D
Answer:
c
Step-by-step explanation:
A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per acre. Assume that the yield
per acre for the new viety of corn follows a normal distribution with
unknown mean and standard deviation of 20 bushels. Find a 95% confidence
interval.
A. 20 + 3.2
B. 150 +2.5
C. 150 +3.2
D. 150 +4.3
Answer:
The 95% confidence interval is [tex](150\pm 8.8)[/tex].
Step-by-step explanation:
The information provided is:
[tex]\bar x=150\\\sigma = 20\\n=20[/tex]
The critical value for 95% confidence level is:
[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]
Compute the margin of error as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8[/tex]
Then the 95% confidence interval is:
[tex]CI=\bar x\pm MOE[/tex]
[tex]=150\pm 8.8[/tex]
Thus, the 95% confidence interval is [tex](150\pm 8.8)[/tex].