Answers
Answer:
A
Step-by-step explanation:
Related Questions
evaluate (√2 + √3)² (√5 - √2)²
Answers
Answer:
35 -10√10 + 14√6 - 8√15Step-by-step explanation:
(√2 + √3)² · (√5 - √2)²
use (a ± b)² = a² ± 2ab + b²
= [(√2)² + 2(√2)(√3) + (√3)²] · [(√5)² - 2(√5)(√2) + (√2)²]
= (2 + 2√6 + 3) · (5 - 2√10 + 2)
= (5 + 2√6)(7 - 2√10)
use FOIL: (a + b)(c + d) = ac + ad + bc + bd
= (5)(7) + (5)(-2√10) + (2√6)(7) + (2√6)(-2√10)
= 35 - 10√10 + 14√6 - 4√60
= 35 - 10√10 + 14√6 - 4√(4 · 15)
= 35 - 10√10 + 14√6 - 4 · √4 · √15
= 35 -10√10 + 14√6 - 4 · 2 · √15
= 35 -10√10 + 14√6 - 8√15
[tex]\left(\sqrt 2 +\sqrt 3 \right)^2 \left( \sqrt 5 - \sqrt 2\right)^2\\\\=\left( 2+2\sqrt 6 +3\right)\left( 5-2\sqrt{10}+2\right)\\\\=\left( 5+2\sqrt6\right)\left( 7-2\sqrt{10}\right)\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{60}\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{4 \times 15}\\\\=35-10\sqrt{10}+14\sqrt6-8\sqrt{15}\\[/tex]
I NEED HELP PLEASE!
301 + 51% =
a. 389
b. 439
c. 454
d. 396
Answers
because
51% of 301 is 153,51
and 153,51+301 is 454,51
The answer is C. when you plug in your equation you should get a decimal but make sure to round up or down to the nearest WHOLE number so it would be C.
Write x4 * x2 without exponents.
Answers
Hey there!
It’s very much impossible to make this equation without it being an exponent because the result has an exponent in it itself
x⁴ × x²
= (x × x × x × x) + (x × x)
≈ x⁴ ⁺ ²
≈ x⁶
Therefore, the answer should be: x⁶
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Of the following three Greek philosophers, who lived the longest?why?
Aristotle: born in Stagira in 384 BCE, died in 322 BCE.
Pythagoras: born in Samos around 580 BC, died around 495 BC.
Plato: born in Athens in 428 BCE, died in 348 BCE.
Answers
Answer:
Pythagoras
Step-by-step explanation:
To figure out how old each philospher was, we can find the difference between their birth and death years.
For Aristotle: 384 - 322 = 62 years old
For Pythagoras: 580 - 495 = 85 years old
For Plato: 428 - 348 = 80
85 > 80 > 62
So, Pythagoras lived the longest out of these three Greek philosophers.
please frenid answer
1 . let f ( x) =2x+1 and g (x)= -3x -4
i.
a. f+g
b.f-g
ii. b. (3) fg (3)
Answers
Answer:i.a)-x-3 b)5x+5 ii.b)-6x2-11x-4
Step-by-step explanation:
i put the wrong question earlier help is appreciated
Answers
Answer:
B. 71°
Step-by-step explanation:
Parallel lines are the same
Answer:
measure of angle 1 is equal to 71.
What is the value of p
Answers
Answer:
p = 80°
Step-by-step explanation:
The sum of exterior angles is 360°
2p + p - 30 + p + 2p + p - 30 = 360
7p - 60 = 360
7p = 420
p = 60°
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −120°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −6°C per hour.
Part 1 out of 3
Let t represent time in hours. Enter an inequality. Use the fact that the rate of change in temperature times the number of hours equals the final temperature.
Answers
Answer:
i am pretty sure is is -20 but im not 100% try it
Step-by-step explanation:
Help me please I don’t know how to do it
Answers
Answer:
ask your teacher for help.
Step-by-step explanation:
Find the measure of line segment DF.
A) 12
B) 13
C) 14
D) 15
Answers
As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.
What is Intersecting Chords theorem?If two chords cross in a circle, the products of the chord segments' measures are equal.
As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,
DF×FB = CF×FA
(x+8) × 8 = 16 × 7
(x+8) = (16×7)/8
(x+8) = 14
Hence, the measure of the line segment is DF is 14 units.
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If y=2x-8 what is the minimum value of the product xy
Answers
The minimum value of the product is -8.
What is the minimum value?The minimum value is the y value of the lowest point on the graph.
The function y = 2x-8 and we have to find the minimum value of the XY.
Plugging the value of y in the product;
[tex]\rm f(x)=x(2x-8)\\\\f(x)=2x^2-8x[/tex]
f(x) represents an upward parabola and we know that for an upward parabola, the minimum point is the vertex.
So in order to find the minimum value, we find the y coordinate of the vertex of the parabola.
The x-coordinate of the parabola is given by;
[tex]\rm = \dfrac{-b}{2a}\\\\=\dfrac{-8}{2\times 2}\\\\ =\dfrac{-8}{4}\\\\=-2[/tex]
The y -coordinate of the parabola is;
[tex]\rm f(x)=2x^2-8x\\\\f(2)=2(2)^2-8(2)\\\\f(2)=2\times 4-16\\\\ f(2)=8-16\\\\ f(2)=-8[/tex]
The vertex is (2,-8)
Hence, the minimum value of the product is -8.
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Which statements describe lorelei’s solution? check all that apply. her work is correct. her answer is correct. in step 1, the subtraction cannot be completed before the factorial of each number is calculated. in step 1, 12! divided by 10! is not equivalent to 6! divided by 5!. in step 3, the dividing out of common factors was performed incorrectly. there are sixty-six ways to choose ten items from twelve.
Answers
12! divided by 10! is not equivalent to 6! divided by 5!. Then the correct statement is 3.
What is the combination?Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
The statements are given below.
Statement 1 - The subtraction cannot be completed before the factorial of each number is calculated. This is the incorrect statement.
Statement 1 - 12! divided by 10! is not equivalent to 6! divided by 5!. This is the correct statement.
Statement 3 - The dividing out of common factors was performed incorrectly. There are sixty-six ways to choose ten items from twelve. This is the incorrect statement.
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Answer:
D and F
Step-by-step explanation:
(D) "In step 1, 12! divided by 10! is not equivalent to 6! divided by 5!."
(F) "There are sixty-six ways to choose ten items from twelve."
Which expression is equivalent to the expression (1 + 4x) + 2x
Answers
Answer:
6x + 1
Step-by-step explanation:
Add up like terms
4x + 2x + 1
= 6x + 1
1. A truck's container has dimensions of 10 ft * 6 ft * 3 ft. It needs to transport microwaves (each takes 5 cubic feet of space). How many microwaves can the truck transport at once?
Answers
Answer:
36 microwaves
Step-by-step explanation:
First, find the volume of the truck's container
10*6*3 = 60 * 3 = 180
180 / 5 = 36
36 microwaves
Realistically, this wouldn't work unless you could make the microwaves any shape you want
However, according to mathematics, it would work
Write 37341000000 in standard form.
Answers
Answer:
trinta e sete bilhões, trezentos e quarenta e um milhões.
Which expression is equivalent to startfraction m minus 4 over m 4 endfraction divided by (m 2) ? startfraction m minus 4 over (m 4) (m 2) endfraction startfraction (m 4) (m 2) over m minus 4 endfraction startfraction (m minus 4) (m 2) over m 4 endfraction startfraction m 4 over (m minus 4) (m 2) endfraction
Answers
The expression that is equivalent to [tex](\frac{m-4}{m^4})/ m^2[/tex] is the expression [tex]\frac{m-4}{(m^4)(m^2)}[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the expression:
[tex](\frac{m-4}{m^4})/ m^2\\\\This\ can\ be\ simplified\ to:\\\\(\frac{m-4}{m^4})*\frac{1}{m^2} \\\\=\frac{m-4}{(m^4)(m^2)}[/tex]
The expression that is equivalent to [tex](\frac{m-4}{m^4})/ m^2[/tex] is the expression [tex]\frac{m-4}{(m^4)(m^2)}[/tex]
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Answer:
A
or M-4 / ( M + 4 ) ( M + 2 )
StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
Step-by-step explanation:
What is the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds?
Answers
The probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.
What is the probability?Probability is the branch of mathematics, which discusses the occurrence of a random experiment.
The average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds.
The standard error of the sample will be:
[tex]\rm Standard \ error=\dfrac{Standard deviation}{\sqrt{ Number \ of \ babies} }\\\\\rm Standard \ error=\dfrac{1.2}{\sqrt{ 4} }\\\\Standard \ error=\dfrac{1.2}{2}\\\\Standard \ error=0.6[/tex]
The probability that the average of four babies P(4 babies will be between 8.4 - 9.6 pounds) is;
[tex]\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{6.8-8}{0.6}\leq X\leq \dfrac{9.2-8}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{-1.2}{0.6}\leq X\leq \dfrac{1.2}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( -2\leq X\leq 2 \right )\\\\\rm P(6.8\leq X\leq 9.2)= P(Z\leq -2)-P(Z\leq 2)\\\\ P(6.8\leq X\leq 9.2)=0.97-0.22\\\\ P(6.8\leq X\leq 9.2)=0.74[/tex]
Hence, the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.
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Which is the value of Sin^2 51+Cos ^2 51 ?
Answers
Answer:
1
Step-by-step explanation:
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
Here, both of these angles are 51 so they will be equal to 1.
How to find the area of a rectangle?
Answers
Answer:
A=wl
Step-by-step explanation:
with x linth = area
Answer:
area of rectangle=lxb
Step-by-step explanation:
using the formula
What are the X and y intercepts? Write a polynomial in factored form.
Answers
Answer:
f(x) = (x + 1)(x - 2) + 4
Step-by-step explanation:
X-intercepts
(-1, 0)(2, 0)⇒ (x + 1) and (x - 2)
⇒ Y-intercept = (0, 4) ⇒ + 4
Polynomial
f(x) = (x + 1)(x - 2) + 4what problem can be solved using 3 x 7 = 21
Answers
Answer:
21 divided by 3
21 divided by 7
7 times by 3
Answer:
can u help me for me ques pls
Cone A has a radíus 12 inches and Cone B has a
radius of 30 inches. If the cones are similar and
the volume of Cone A is 48 ft², find the volume b of Cone b
Answers
Check the picture below.
[tex]\cfrac{\stackrel{A~radius}{(12)^3}}{\underset{B~radius}{(30)^3}}~~ = ~~\cfrac{\stackrel{A~volume}{48}}{\underset{B~volume}{V}}\implies \cfrac{1728}{27000}~~ = ~~\cfrac{48}{V}\implies \cfrac{8}{125}~~ = ~~\cfrac{48}{V} \\\\\\ 8V=(48)(125)\implies V=\cfrac{(48)(25)}{8} \\\\\\ V=\cfrac{48}{8}25\implies V=6(25)\implies V=150[/tex]
Please help due today this will be a life save please n thank you WILL GIVE BL
Answers
Answer:
Answers below
Step-by-step explanation:
1. 77,915.06
A=2*50( this is a subscript 50)+(50+50+50)505
2. 5.47×105 or 547,000
3. 211045.04
I'm pretty confident that these are all correct but double check them first.
Given the alphabet: a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, what is the probability of choosing a vowel, a, e, i, o, u?
19.2%
31.1%
29.1%
11.5%
Answers
Answer:
19.5%
Step-by-step explanation:
probability of getting a, e, i, o, u is 5/26(total alphabets)
change 5/26 to percentage
A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.
Answers
Answer:
B
Step-by-step explanation:
process of eimination.
first, it cant be A because youre not adding 13
so theres your answer. :)
Find the square root of 1
Answers
Answer its one
Step-by-step explanation:
The diameter of a circle is 3 in. Find its area to the nearest hundredth.
Answers
Answer:
7.069 in
Step-by-step explanation:
1.5*1.5* 3.14159265359
Answer:
the answer is 14.79... hope this helps
If a car goes 65 miles in 2 hours, how many miles will it go in 5 hours?
Answers
Try to solve it’s not really that hard but I was just to lazy to do it
Answers
2. Lynn filled up her gas tank on the way home from work. She uses about 1.6
gallons each day. After 3 days, she has 213 gallons of gas left in her gas
tank. Write an equation to represent the number of gavons of gas g in her
tank after d days. Then, find the amount of gas in her tank after 8 days.
linear application
Answers
The amount of gas in her tank after 8 days given the linear equation g = 213 - 1.6d is 200.2 gallons of gas
Linear equationGallons of gas used per day = 1.6 gallonsNumber of days = dQuantity of gas = gThe equation
g = 213 - 1.6d
Gas remaining after 8 days
g = 213 - 1.6(8)
= 213 - 12.8
g = 200.2 gallons of gas
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