The simplification of square root 12 x is [tex]\mathbf{2 \sqrt{3x}}[/tex] and the square root of 8 is [tex]\mathbf{2 \sqrt{2}}[/tex]
What is Surds?Surds is a mathematical expression of numbers in square roots that cannot be changed to real numbers but be further simplified into irrational numbers.
From the given information.
The simplification of [tex]\mathbf{\sqrt{12x}}[/tex] is:
[tex]\mathbf{= \sqrt{4 \times 3x }} \\ \\ \mathbf{= 2\sqrt{ 3x }}[/tex]
The simplification of the [tex]\mathbf{\sqrt{8 }}[/tex] is determined by factoring 8:
i.e.
[tex]\mathbf{= \sqrt{4 \times2 }} \\ \\ \mathbf{= 2\sqrt{ 2}}[/tex]
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Scientists are studying a population of 20 bugs and tracking the population,y, as it grows over time,t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?
Answer:
I am pretty sure it is
y >_ 20(0.061)^t
t >_ 0
Step-by-step explanation:
A bag contains 8 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer: 0.29
Step-by-step explanation:
The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15. Multiply these together to get the total probability:
6/17 x 5/16 x 4/15 = .029
i will give brainliest
Answer: -3
Step-by-step explanation:
The population of a Bee Colony being monitored is given by P(t)=1000+500e−0.8t, where t is the time in months. How many months will it take for the population to reach 1009? Write your answer as an exact answer.
Answer:
me sandip is a jokeerrrr..........
Step-by-step explanation:
no god sucks......... **** brainly
What is the most appropriate situation for the z-test?.
The distance from the origin to the point (-18,24) is
Origin = [tex](0, 0)[/tex]
Point = [tex](-18, 24)[/tex]
Distance = [tex]\sqrt{(24 - 0)^2 + (-18 - 0)^2} = \sqrt{24^2 + (-18)^2} = \sqrt{576 + 324} = \sqrt{900} = 30[/tex]
The distance from the origin to the point (-18, 24) is 30 units.
To find the distance from the origin (0, 0) to the point (-18, 24), we can use the distance formula in two-dimensional Cartesian coordinates.
The distance formula between two points [tex](x_1, y_1) and\ (x_2, y_2)[/tex] is given by:
[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\][/tex]
In this case, the coordinates of the origin are (0, 0) and the coordinates of the point are (-18, 24). Plugging these values into the distance formula, we get:
[tex]\[d = \sqrt{(-18 - 0)^2 + (24 - 0)^2} = \sqrt{(-18)^2 + 24^2} = \sqrt{324 + 576} = \sqrt{900} = 30\][/tex]
So, the distance from the origin to the point (-18, 24) is 30 units.
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find the missing angle measure
Answer:
<1 = 77
<2 = 103
<3 = 77
Step-by-step explanation:
<1 = 77 (180-103) by Linear Pair Postulate
<2 = 103 by Vertical Angles Theorem
<3 = 77 by Vertical Angles Theorem
What is the solution to the equation 2x+4 - 12 =20?
A X=0
B X= 1
C X=2
D x=9
Answer:
none
Step-by-step explanation:
plug it in, it doesnt add up
Just provide answers please... thank you!
Answer:
Probability of drawing a yellow candy: 10/36= 5/18
Something besides a yellow candy: for ecample: the red candies: 8/36= 2/9
Step-by-step explanation:
Probability of drawing yellow candies equals the sum of candies over yellow candies.
What is the volume of the triangular prism? *
Pleaseeeee answer
Answer:
360 ft³Step-by-step explanation:
The formula for calculating the volume of a right triangular prism is:
(1/2 x b x h) x lLet's use the formula to calculate the volume of the right triangular prism.
(1/2 x 15 x 6) x 8⇒ (15 x 3) x 8⇒ 45 x 8⇒ 360 ft³Dan invests $8.911 in a retirement account with an interest rate of 7.71%
compounded continuously. What will the account balance be in 20 years.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8911\\ r=rate\to 7.71\%\to \frac{7.71}{100}\dotfill &0.0771\\ t=years\dotfill &20 \end{cases} \\\\\\ A=8911e^{0.0771\cdot 20}\implies A=8911e^{1.542}\implies A\approx 41649.38[/tex]
I’m asking a lot of questions sorry anyone???
Answer:
For number question #8 its 8/3
Step-by-step explanation:
One way i do is multiply the denominator by the whole number and then add the numerator . For example 2 2/3
2x3=6 6+2=8
Do NOT change the numerator, it stays the same.
evaluate abcd if a =3,b=-2,c=4,and d=1
Answer:
abcd = -24
Step-by-step explanation:
First, remember that the default operation in algebra is multiplication, so we have to multiply a and b and c and d together to get the answer:
abcd = a × b × c × d
Plugin your values to get the total of:
3 x -2 × 4 × 1 = -24
So the answer to this problem is -24
787 times 2554 equals?
Answer:
787 times 2554 equals 2,009,998
Step-by-step explanation:
Hope that helps!
please answer this question
For the integral ∫asin(x)dx, use integration by parts ∫udv=uv−∫vdu.
Let u=asin(x) and dv=dx.
Then du=(asin(x))′dx=[tex]\rm \dfrac{dx}{ \sqrt{1 - {x}^{2} } } [/tex] and v=∫1dx=x
So,
[tex] \rm{\int{\operatorname{asin}{\left(x \right)} d x}}=\color{h}{\left(\operatorname{asin}{\left(x \right)} \cdot x-\int{x \cdot \frac{1}{\sqrt{1 - x^{2}}} d x}\right)}=\color{h}{\left(x \operatorname{asin}{\left(x \right)} - \int{\frac{x}{\sqrt{1 - x^{2}}} d x}\right)} \\ [/tex]
Let u=1−x2.
Then du=(1−x2)′dx=−2xdx and we have that xdx=−du/2.
The integral can be rewritten as
[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{g}{\int{\frac{x}{\sqrt{1 - x^{2}}} d x}} = x \operatorname{asin}{\left(x \right)} - \color{j}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} \\ [/tex]
Apply the constant multiple rule ∫cf(u)du=c∫f(u)du with c=-1/2 and f(u)=[tex] \frac{1}{ \sqrt{u} } [/tex]
[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{h}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} = x \operatorname{asin}{\left(x \right)} - \color{h}{\left(- \frac{\int{\frac{1}{\sqrt{u}} d u}}{2}\right)} \\ [/tex]
Apply the power rule
[tex] \rm\int u^{n}\, du = \frac{u^{n + 1}}{n + 1} \\ [/tex]
with n=−1/2
[tex] \rm x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\int{\frac{1}{\sqrt{u}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\int{u^{- \frac{1}{2}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\frac{u^{- \frac{1}{2} + 1}}{- \frac{1}{2} + 1}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\left(2 u^{\frac{1}{2}}\right)}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\left(2 \sqrt{u}\right)}}{2} \\ [/tex]
[tex] \rm Recall \: that \: u=1− {x}^{2} [/tex]
[tex] \rm x \operatorname{asin}{\left(x \right)} + \sqrt{\color{re}{u}} = x \operatorname{asin}{\left(x \right)} + \sqrt{\color{rd}{\left(1 - x^{2}\right)}} \\ [/tex]
Therefore,
[tex] \rm\int{\operatorname{asin}{\left(x \right)} d x} = x \operatorname{asin}{\left(x \right)} + \sqrt{1 - x^{2}}+C \\ [/tex]
hello, I need the answer asap
Answer:
x=1/3
Step-by-step explanation:
how do I know my multiples
One way to make it easier to multiply, pick a number from a multiplication problem. Then, add the amount of times of the other number.
Example:
6 x 8 = ?
8 = Chosen Number
So, add 8, 6 times.
8 + 8 + 8 + 8 + 8 + 8 = ?
? = 48
Which, 6 x 8 does equal 48.
Drag each volume of a prism to match a rectangular prism
on the left with the given dimensions.
54 cu. in.
72 cu. in.
36 cu. in.
80 cu. in.
Dimensions of
Rectangular Prism
Volume of Rectangular
Prism
4 in., 3 in., 6 in.
6 in., 3 in., 2 in.
4 in., 5 in., 4 in.
2 in., 9 in., 3 in.
The volume of the rectangular prism with the dimensions given are as follows:
v = 72 inches³
v = 36 inches³
v = 80 inches³
v = 54 inches³
Volume of a rectangular prismv = lwhwhere
l = length
w = width
h = height
Therefore,
a.
v = 4 × 3 × 6 = 72 inches³b.
v = 6 × 3 × 2 = 36 inches³c.
v = 4 × 5 × 4 = 80 inches³d.
v = 2 × 9 × 3 = 54 inches³learn more on rectangular prism here: https://brainly.com/question/13512346
10 Over 12 EndFraction divided by StartFraction 4 Over 6 EndFraction. What is the quotient?
Answer:
5/4
Step-by-step explanation:
[tex] \frac{10}{12} \div \frac{4}{6} \\ \\ = \frac{10}{12} \times \frac{6}{4} \\ \\ = \frac{5}{2} \times \frac{1}{2} \\ \\ = \frac{5}{4} [/tex]
a farmer has 300 turkeys 100 cattles 7 sheep 61 swine and 402 chickens. What percent of the farmers livestock is swine
Answer:
7.011%
Step-by-step explanation:
61/(300+100+7+61+402) = 0.07011
Multiply the result of that by 100 to get 7.011%.
1/10 by 5.08 how do I work this out in simplest form
Answer:
10x5.08
Step-by-step explanation:
Test the hypothesis that the mean value of Weight1 is the same for Managers and Supervisors in the population. At 5% level of significance the conclusion of this test is ______. Fail to reject H0 and conclude that the mean value of Weight1 is the same for Managers and Supervisors in the population. Fail to reject H0 and conclude that the mean value of Weight1 is not the same for Managers and Supervisors in the population. Reject H0 and conclude that the mean value of Weight1 is the same for Managers and Supervisors in the population. Reject H0 and conclude that the mean value of Weight1 is the not the same for Managers and Supervisors in the population.
Answer:
hello the data required is missing attached below is the missing data and solution
Answer : Fail to reject H[tex]_{0}[/tex] and conclude that the mean value of weight 1 is the same for Managers and supervisors in the population
Step-by-step explanation:
At 5% level of significance the conclusion of this test is Fail to reject H[tex]_{0}[/tex] and conclude that the mean value of weight 1 is the same for Managers and supervisors in the population.
The value of the test statistic tcal = 0.7402 lies between the critical values
±[tex]t_{\frac{0.05}{2.2} }[/tex] = ±2.086
attached below is the detailed solution and missing part of the question
Large Reusable bottles cost four dollars more than small ones eat large bottles cost $24 less than small ones how much does one small bottle cost
Answer:
$20
Step-by-step explanation:
The large ones cost $4 more so what you would do is to subtract that $4 from the $24.
24-4=20
pls help. i know the formulas, but i messed up my math.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Here, we have composite figure which is composed of 2 cuboids. The dimensions of larger cuboid is 12cm, 7cm, 7cmThe dimensions of smaller cuboid is 7cm, 2cm , 2cmTo Find :-We have to find the total surface area of the composite figure Let's Begin :-Here,
The dimension of larger cuboid are
Length = 12cmBreath = 7 cmheight = 7 cmWe know that,
Lateral surface area of cuboid
[tex]\bold{\red{ = 2( lb + bh + hl)}}[/tex]
Subsitute the required values,
[tex]\sf{ = 2[(7)(7) + (7)(12) +(7)(12) ]}[/tex]
[tex]\sf{ = 2[ 49 + 84 ]}[/tex]
[tex]\sf{ = 2[ 49 + 168 ]}[/tex]
[tex]\sf{ = 2[ 217 ]}[/tex]
[tex]\bold{ = 434 cm^{2}}[/tex]
Now,We have to find the lateral surface area of smaller cuboid
The dimensions of smaller cuboid are 7cm, 2cm and 2cmTherefore,
Lateral surface area of smaller cuboid
[tex]\sf{ = 2[(2)(7) + (7)(2) +(2)(2) ]}[/tex]
[tex]\sf{ = 2[ 14 + 14 + 4 ]}[/tex]
[tex]\sf{ = 2[ 28 + 4 ]}[/tex]
[tex]\sf{ = 2[ 32]}[/tex]
[tex]\bold{ = 64 cm^{2}}[/tex]
The common base area of both the cuboids
[tex]\sf{ = lb }{\sf{ + lb}}[/tex]
[tex]\sf{ = 14 + }{\sf{ 14}}[/tex]
[tex]\bold{ = 28 cm^{2}}[/tex]
Now,The total surface area of the given composite figure
= SA of larger cuboid + SA of smaller cuboid - common base area
Subsitute the required values,
[tex]\sf{ = 434 + 64 - 28 }[/tex]
[tex]\sf{ = 498 - 28 }[/tex]
[tex]\bold{ = 470cm^{2}}[/tex]
Hence, The surface area of composite figure is 470 cm² .
Answer:
470cm²
Step-by-step explanation:
SA= (12*7)*4+(7*7)*2+(2*2)*2+(7*2)*2
=336+98+8+28
= 470 cm²
Therefore, the surface ares is 470 cm².
~
the functions f and g are defined by f(x)=2x+1 and g(x)= 5x-1. find
a. fg(3)
If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) in terms of n?
Answer:
t(d(n)) = 12n + 7
Step-by-step explanation:
t(d) = 3d + 1 d(n) = 4n + 2t(d(n)) = t(4n + 2)
Substitute the function d(n) into the function t(d) for the variable d.
t(4n + 2) = 3(4n + 2) + 1
12n + 6 + 1 12n + 7t(d(n)) = 12n + 7
Circle A has a radius of 6.0 cm. The shortest distance between B and C on the circle is 5.4 cm.
What is the approximate area of the shaded portion of circle A?
16.2 cm²
21.0 cm²
37.7 cm²
113.1 cm²
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}lr[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(5.4)(6)[/tex]
[tex]\\ \sf\longmapsto Area=16.2cm^2[/tex]
PLS SOMEONE HELPD MEEEE
Answer:
C
Step-by-step explanation:
If you put 2 different values in for x and it happens 2 times, the eqyations must be equivilent :)
Have an amazing day!!
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10. A parabola has an axis of symmetry x = 2 and one of the x-intercepts is x =5. Where is the
other x-intercept?
Answer:
-1
Step-by-step explanation:
5-2=3
2-3=-1
A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Answer:
36 Minutes
Step-by-step explanation:
150/8=18.75
675/18.75=36
So hence, your answer is 36 Minutes
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