Answer:
-17.25
Step-by-step explanation:
(sqrt2-sqrt3+sqrt6)(sqrt6-sqrt3)
Answer: [tex]-6\sqrt{2}+2\sqrt{3}-\sqrt{6}+9[/tex]
=======================================================
Explanation
Let:
[tex]x = \sqrt{2}\\\\y = \sqrt{6}-\sqrt{3}\\\\[/tex]
We can then say:
[tex](\sqrt{2}-\sqrt{3}+\sqrt{6})(\sqrt{6}-\sqrt{3})\\\\(\sqrt{2}+\sqrt{6}-\sqrt{3})(\sqrt{6}-\sqrt{3})\\\\(x+y)(y)\\\\xy+y^2\\\\2\sqrt{3}-\sqrt{6}+9-6\sqrt{2}\\\\-6\sqrt{2}+2\sqrt{3}-\sqrt{6}+9\\\\[/tex]
Check out the screenshot below for the scratch work on how I computed the [tex]xy[/tex] and [tex]y^2[/tex] terms.
My little brother lost a tooth at school and came home with a cube-shaped tooth box has an area of 24 cm. What is the volume of the box?
Answer:
8 cubic cm
Step-by-step explanation:
6 * ( L square ) = 24
L= 2
then
v= l cube
= 2*2*2
=8
Can someone help with this!
In the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
Matrix notationFrom the question, we are to determine which entry in the given matrix represents [tex]a_{23}[/tex]
NOTE: For any entry denoted as [tex]a_{mn}[/tex], it represents the entry in the m-th row and n-th column.
Thus,
[tex]a_{23}[/tex] represents the entry in the 2nd row and 3rd column.
In the given image, the entry in the 2nd row and 3rd column is 5.
Hence, in the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
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Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's assertion correct?
Check the picture below.
so hmmm if Lydia is correct, then there's one angle in the triangle that is 90°, hmmm well, looking at the picture, we can pretty much forget about angle Z or Y, they're both acute, hmm how about angle X? is it 90°?
well, if angle X is indeed a right-angle, the lines XZ and XY are perpendicular, but are they? if that's so then the slopes of XZ and XY are negative reciprocal of each other, let's check
[tex]X(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad Z(\stackrel{x_2}{2}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{-6 +4}{2 +0}\implies -1[/tex]
now, the negative reciprocal of that will be
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]
well, let's see if XY has a slope is 1 then
[tex]X(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad Y(\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{-3 +4}{2 +0}\implies \cfrac{1}{2}[/tex]
OMG!!! Lydia needs to go get a nice Latte with cinnamon and to recheck her triangle.
a dice is rolled 50 times. the score of each is recorded in the table below
Answer:
No answer. There is no table. The answer for it is probably the frequency which is 8 for the 6 values of dice.
Step-by-step explanation:
50/6 = 8.33333....
So for the numbers 1,2,3,4,5,6 it is 8 times.
which means each number will have the frequency of 8.
This is the most answer that I could get. Since, there was no picture to support this answer. DO NOT PUT THIS AS YOUR REAL ANSWER BECAUSE IT MAY BE WRONG.
answer the questions and answer the questions please please please please please
Six positive integers have a range of 13 the integers are 5,9,7,12,3,x find the value of x
Answer:
16
Step-by-step explanation:
the range is the amount of numbers between the highest and lowest number in a set. if the lowest number is 3, and the range is thirteen, and the number must be a positice, the highest number in the range is 16.
Which is the best estimate of -14 1/9 (-2 9/10)?
Answer:
45.43
Step-by-step explanation:
A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The hole has a diameter of 1 ft. What is the probability of hitting a ball into the circular hole? Express your answer as a percentage rounded to the nearest tenth.
Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:
[tex]A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2[/tex]
Hence the probability is given by:
p = 0.7854/16 = 0.049 = 4.9%
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PLEASEEEE HELP DUE TODAY! MIGHT GIVE BRAINLIST! EFOORT WILL BE RESPECTED! PIC ATAACHED
The attached image represents the interval 2 < x ≤ 9 on the number line
How to highlight the interval?The interval is given as:
2 < x ≤ 9
The above interval means that:
2 is exclusive of the values of x (because of the < inequality symbol)9 is inclusive of the values of x (because of the ≤ inequality symbol)In inequality, the < symbol uses an open circle, while the ≤ uses a closed circle
Next, we highlight the interval using the above rules (see attachment)
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The equation y - 2 = 3(x + 1) is in point-slope
form. Which is the slope-intercept form?
0
y = 3x + 1
y = 3x - 3
y = 3x + 5
Answer:
y=3x+5
Step-by-step explanation:
See attached image
Answer:
D.) y = 3x + 5
Step-by-step explanation:
The general structure for an equation in slope-intercept form is:
y = mx + b
In this form, "m" is the slope and "b" is the y-intercept.
To convert the given equation into slope-intercept form, you need to do some expanding and rearranging.
y - 2 = 3(x + 1) <----- Given equation
y - 2 = 3x + 3 <----- Multiply 3 by every term in the parentheses
y = 3x + 5 <----- Add 2 to both sides
pls help i dont know ?
Answer:
[tex]8 \times(2+15)[/tex]
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write "8 times the sum of 2 and 15" as an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
"sum" means addSo, we add 2 and 15:
[tex]\mathtt{2+15}[/tex]
Now we multiply 8 times this expression:
[tex]\mathtt{8\times(2+15)}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Alex is 16 years old and his brother is 5 years old. In many years will Alex be twice the age of his brother?
Answer:
Yes
Step-by-step explanation:
At the age of 22 Alex will have twice the age of His brother who is 11 years old
pls help i hate math. three forces act on an object. one force pulls right with 60n. the second pulls left with 30n. the third pulls left 20n. what is the net force?
Answer:
20 is.the net force act in object
1 ounce granulated sugar is equivalent to _____ tablespoons.
Answer:
2
Step-by-step explanation:
The sum of ages of fred and pat is 40 years. in four years the age of pat will be three times the age now. how old is each boy?
Write down the integer values satisfied by this diagram. I n -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.
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If 2^2x = 3, find 4^6x-5
The weight, w, that a horizontal beam can support varies inversely as the
length, l, of the beam. a beam measuring 5 meters in length can support
430 kilograms. how much weight can a beam measuring 2 meters
support?
A beam measuring 2 meters can support 172 kilograms
How to determine the weight?The variation is a direct variation.
So, we have:
w = kl
Where k is the constant of variation.
When l = 5, w = 430.
This means that:
430 = 5k
Divide both sides by 5
k = 86
So, we have:
w = 86l
When l = 2, we have:
w = 86 * 2
Evaluate
w = 172
Hence, a beam measuring 2 meters can support 172 kilograms
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The volume of a right rectangular prism can be found by using the product 9(4)(11). which expression could also be used to determine the volume of this prism? 11(9)(4) 9(4) 1 32(11) 9 4 11
Volume is a three-dimensional scalar quantity. The expression that could also be used to determine the volume of this prism is 11(9)(4).
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a right rectangular prism can be found by using the product of 9(4)(11). The expression that could also be used to determine the volume of this prism is 11(9)(4).
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Answer:
11(9)(4)
Step-by-step explanation:
Hope this helps!!!!
Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?
Answer:
3/16 of the whole pie
Step-by-step explanation:
Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.
==========================================================
Solving :
Therefore, the equation is :
⇒ 3/4 × 1/4
⇒ 3/16 of the whole pie
15 = 6y + 5 - 8y What is the value of y?
[tex]~~~~~~15=6y+5-8y\\\\\implies 15-5=-2y\\\\\implies 10 = -2y\\\\\implies -\dfrac{10}2 = y\\\\\implies -5 = y\\\\\implies y = -5[/tex]
Answer:
y=−5
Step-by-step explanation:
15=6y+5−8y
⟹15−5=−2y
⟹10=−2y
⟹−210=y
⟹−5=y
⟹y=−5
f(s) = (= + 5)²
is it a even function or odd or both? or neither ??
Answer:
both
Step-by-step explanation:
that's the answer to the question
*please help me out if you know how to solve, last person I asked just put a random awnser for point, the problem is bellow and there is a chart in the picture.*
6. In both Mr. Jacquez's Math 2 classes,
Period 2 and Period 3 were given the same test. The table below shows the results from the two classes.
a. Find the probability that a randomly selected student from Period 2's class failed the test.
b. Find the probability that a randomly selected student who failed the test is from Period 3's class
For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.
[a] 50%
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed}}{\text{Period 2's class}} =\frac{12}{24} =0.5,\:0.5*100=50\%[/tex]
[b] 52%
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed from Period 3}}{\text{fails from both classes}} =\frac{13}{25} =0.52,[/tex]
[tex]\displaystyle 0.52*100=52\%[/tex]
Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
a. 4
b 5
c 8
d 9
Answer:
9
Step-by-step explanation:
Answer:
4 large folders ( and 8 small folders....with $ 1 left over)
Step-by-step explanation:
x = small y = large folders
x+y >= 12 x >= 12-y
3x + 5y <= 45
3 (12-y) + 5y <=45
36 -3y + 5y <= 45
y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders
please help only if u know
Answer
100
Step-by-step explanation:
bxh is the formula for area of the triangle (base_
so 5x4=20
20x5 (height) = 100
Answer:
80 cm
Step-by-step explanation:
formula
b x h x .5
b= the area of the base
75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84 what is the mean
Answer:
8
Step-by-step explanation:
f(x) = x^2. What is g(x)?
Answer:
-x²-2
Step-by-step explanation:
x² = the curve faces upwards
but
-x² the curve faces downwards.
also
the downward curve touches -2 on the y axis.
therefore gx = -x²-2
Use the formula a=p(1 rn)nt to find the amount in a compound interest account after t years, compounded n times a year. mary deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. what was the amount in the account at the end of 10 years? round to the nearest dollar. $7,120 $6,769 $6,026 $5,872
Answer:
(b) $6,769
Step-by-step explanation:
The value in the account can be found by using the compound interest formula:
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
__
apply formulaUsing the given values in the formula, we have ...
P = 5600, r = 0.019, n = 4, t = 10
A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752
The amount in the account at the end of 10 years was about $6,769.
_____
Additional comment
Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.
A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is the time in seconds the ball is in the air. When will the ball hit the ground? Write the function in intercept form. Group of answer choices:
A. h(t) = (−8t − 3)(2t + 2); the ball will hit the ground at 2.5 seconds
B. h(t) = (−8t + 3)(2t − 2); the ball will hit the ground at 2 seconds
C. h(t) = (8t − 3)(2t − 2); the ball will hit the ground at 1.5 seconds
D. h(t) = (−8t − 3)(2t − 2); the ball will hit the ground at 1 second
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The time at which the ball will hit the ground is,
h(t) = −16t² + 10t + 6
0 = -16t² + 10t + 6
8t² - 8t + 3t - 3= 0
8t(t-1)+3(t-1) = 0
(8t+3)(t-1)=0
t = -0.375, 1
Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).
Thus, the correct option is D.
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Answer:
The answer above is correct, a teacher confirmed it, and the quiz marked it as correct.
Step-by-step explanation: