Answer:
the answer is 1017.8760 in cube
the functions f and g are defined by f(x)=2x+1 and g(x)= 5x-1. find
a. fg(3)
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.
~
A plane travels a distance of 5,000 km in a time of 5.6 hours.
What is its average speed rounded to the nearest whole number?
Dan 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]
How is each one determined?
Answer:
I don't know-how to answer that
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.
To know more about distance, refer here:
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A US nickel has a mass of 5.00 g a US penny has a mass of 2.50 g what is the mass in kilograms of the coins in the
bag contending 186 nickels in 72 pennys
Answer:
1110 g
Step-by-step explanation:
Here is the fastest way to solve this problem: (5 x 186) + (2.5 x 72)
However, if you want a step-by-step explanation, here it is:
The total mass of the coins in the bag is the mass of the nickels plus the mass of the pennies.
Let's start by finding the mass of the nickels in the bag.
We know that one nickel has a mass of 5 g, and that there are 186 nickels. So, the total mass of all the nickels in the bag will be 186 x 5 = 930 g.
Now, let's find the mass of the pennies in the bag.
We know that one penny has a mass of 2.5 g, and that there are 72 pennies in the bag. So, the total mass of all the pennies in the bag will be 2.5 x 72 = 180.
We now add these two masses (930 + 180) to get our final answer, 1110 g.
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
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
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]
Using the Pythagorean Theorem:
Mary drove 60 miles east and then 20 miles north. How many miles would
Mary
have driven if she could have gone directly from her starting point to her ending
point? (Use a calculator to find the square root, and round the answer to the nearest
tenth.)
She would have driven
miles.
Answer:
60
Step-by-step explanation:
east and north are two axis that are perpendicular to each other, so if we use Pythagorean rule, sqr60^2+20^2=20sqr10, approximately 63.24555
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.
14 f ( x ) = √ 7 + x range
[tex]f(x) = \sqrt{7 + x} [/tex]
We know that anything underneath a square has to be positive. so accordingly[tex]7 + x \geqslant 0[/tex]
[tex]x \geqslant - 7[/tex]
[tex]domain \: - 7 \leqslant x \leqslant \infty [/tex]
The answer to any value of x that that you plug, between -7 & ∞ will be between 0 & infinity.[tex]range \: \: 0 \leqslant f(x) \leqslant \infty [/tex]
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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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
solve -36 4/9 - (-10 2/9) - (18 2/9)
Answer:
=−148
3
(Decimal: -49.333333)
Step-by-step explanation:
−364
9
−(
−102
9
)−
182
9
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%.
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
What is the most appropriate situation for the z-test?.
hello, I need the answer asap
Answer:
x=1/3
Step-by-step explanation:
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 ft³Scientists 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:
787 times 2554 equals?
Answer:
787 times 2554 equals 2,009,998
Step-by-step explanation:
Hope that helps!
The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.
The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees.
Answer:
40
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent, so the other base angle is also 70 degrees.
This means that the interior angles are 70, 70, and x
Since the sum of the measures of the angles of a triangle is 180 degrees,
70+70+x=180
140+x=180
x=40
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.
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
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
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 slope of a line that is perpendicular to the
line y = -1/2X + 5?
Answer:
the slope is −12
Step-by-step explanation:
The equation of a perpendicular line to y=−x2+5 y = - x 2 + 5 must have a slope that is the negative reciprocal of the original slope.
Hope it helps!!!Brainliest pls!!!-1/2
That would be the answer
14:56 as a simplified ratio
Answer:
1:4
Step-by-step explanation:
To represent 14:56 as a simplified ratio, we need to reduce it by finding the GCF (greatest common factor) and dividing it by both terms.
The GCF of 14 & 56 is 14.
14 / 14 = 1
56 / 14 = 4
Thus we are left with our new simplified ratio, 1:4.