Identify the plane parallel to plane BCD.
O plane ABF
plane DEF
O plane AEF
O plane ABE

Answer: 1/343

Step-by-step explanation:

To multiply fractions, combine the numerators and denominators and simplify as shown below.

1/7 x 1/7 x 1/7 can be rewritten as:

(1x1x1)/(7x7x7)

Simplifying the numerator and denominator in the new equation, the result is 1/343.

Thus, 1/7 x 1/7 x 1/7 = 1/343.

I hope this helps!

Answer: y=3x-6

Step-by-step explanation:

ANSWER:y=1/(3x-6)

Step-by-step explanation:

i think you are asking for the change of subject of formula(Transposition of subjects).

x=1/3y+2

multiply both sides by 3y

x × 3y=1/3y × 3y + 2 × 3y

3xy=1+6y

collect like terms

3xy-6y=1

fractionalize

y(3x-6)=1

divide both sides by (3x-6)

y=1/(3x-6)

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Answer:

337.35 mi/h^2

Step-by-step explanation:

Given the equation;

v= u +at

v= final velocity = 51 mi/h

u= initial velocity = 23 mi/h

t = time = 5 mins or 0.083 hours

a = acceleration, the unknown

51 = 23 + 0.083a

51 - 23 = 0.083a

a= 51 - 23/0.083

a= 337.35 mi/h^2

Answer:

34

Step-by-step explanation:

Answer:

157 party delegates is 1/7 of 1100. Multiply that by 6/1 to get 6/7. 157 multiplied by 6 is 942. 942/110

Add 157 + 942 to get 1100

I've tried this before and for me it was pretty confusing but I eventually figured it out

I hope this helps!

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Answer:

1/13

Step-by-step explanation:

Step-by-step explanation:

So, drawing a given unit has a probability of 4/52=1/13. Once a card of a certain unit is drawn, there are just 3 cards of the same unit left, so the probability of drawing the second of the same unit is 3/51=1/17.

Answer:-0.924025

Step-by-step explanation:

[(9.65 - 9.74) / 9.74] × 100%

= -0.0092402464066 × 100%

= -0.92402464066%

Answer:  Converse: If the candy has 350 calories, the candy is chocolate, False. There is another 350 calorie candy.

Inverse:  If the candy does not have 350 calories, the candy is not chocolate. True In this case, the evidence in the chart supports this. The inverse is not always true.

Contrapositive: If the candy does not have 350 calories, the candy is not chocolate. True   The evidence in the chart supports this statement, and the Contrapositive is generally considered a logical equivalent of the original.

Step-by-step explanation:

You need to have a basic frame for converting the original statement to the other forms such as

Original: If P, then Q

Converse: If Q, then P      Just reverse the parts

Inverse: If not P then not Q In the same order, make both negative, add "not"

Contrapositive: If not Q then not P Reverse the order of the original and make both negative.  

Answer:

Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.

Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

Answer:

area is multiplying

so the first face multiple 8×9 and do it list rest of them

after got all of them add up it and u will get your answer

I hope it's correct and that's how I learned it in my school

I really need brainlist , my teacher gave us this app so the highest person with brainlist wins .

pls

Answer:

The answer is 208.

base edge x base edge = 8 x 8 = 64

bse edge x lateral face = 8 x 9 = 72

72 x 2 = 144

144 + 64 208

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

Yes, because to be in congruent with something means to have the same shape and size.

Hope this helps!

We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.

Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.

In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:

62° + 24° + x = 180°

To solve this we need to isolate x, we will get:

x = 180° - 24° - 62°

x = 94°

So the measure of the third interior angle is 94 degrees.

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Resolving F2 into components along the u and v axes, the magnitudes of the components are determined as 150 N and 77.6 N.

According to the sine law, the side length of a triangle should be divided by the sine of the opposite angle. That is, when we divide side a by the sine of angle A, we get the same result as side b divided by angle B and side c divided by angle C.

For the given diagram, first, draw the vector components. Then, by sine law, we get,

\(\begin{aligned}\frac{F_u}{\sin 75^{\circ}}=\frac{F_2}{\sin 75^{\circ}}=\frac{F_v}{\sin 30^{\circ}}\end{aligned}\)

Now, substitute the value of F₂, and we get,

\(F_u=F_2=\mathrm{150\;N}\)

Now, solve for \(F_v\), we get,

\(\begin{aligned}F_v&=\frac{F_2\sin 30^{\circ}}{\sin75^{\circ}}\\&=\mathrm{\frac{150\;N\times 0.5}{0.966}}\\&=\mathrm{77.64\;N}\end{aligned}\)

The required answers are 150 N and 77.64 N.

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The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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24 - x = -12 so what do is just add the two together so 24  + 12 = 36 and since it ended on a negative number, the temperature change is -36!!

Answer:

There are 153 combinations

Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)

= 18 * 17 / 2 = 153

OK that is the maths - now the explanation

The first sock can be any of 18

The second sock can be any of 17 (one already been selected and they must be mismatched)

Therefore there are 18*17 = 306 permutations she could make

However the question asks for "combinations" not "permutations"

A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.

Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153

FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!

Answer:

D. Time ( length)

Step-by-step explanation:

The function is measuring the length of the race, and the time it took to complete. So, it would be D.

// have a great day //

Answer:

D. Time(length)

Step-by-step explanation:

→The time is on the outside because, according to the information that has been given/provided, the length of the race depends on the time taken to complete the race.

This means the correct answer is "D. Time(length)."

Answer:

I think the answer is going to be 14 or 21

Answer:

The answer to the question provided is 24.

(I'm not sure if it's right, I struggled a little.)

Step-by-step explanation:

\( \frac{28}{16} = \frac{42}{x} \\ \\ \frac{672}{28} = \frac{28x}{28} \\ \\ 24 = x\)

Happy to help anytimes!

I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.

We have to turn K into the limits of integration on our integrals.

Clearly 0 is the lower limit for all three of x, y and z.

Now we have to incorporate

x+y+z ≤ 1

Let's do the outer integral over x.  It can go the full range from 0 to 1 without violating the constraint.  So the upper limit on the outer integral is 1.

Next integral is over y.  y ≤ 1-x-z.   We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y.  So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.

Similarly the inner integral goes from z=0 to z=1-x-y

We've transformed our integral into the more tractable

\(\displaystyle \int_0^1 \int_0^{1-x} \int _0^{1-x-y} (x^2-z^2)dz \; dy \; dx\)

For the inner integral we get to treat x like a constant.

\(\displaystyle \int _0^{1-x-y} (x^2-z^2)dz = (x^2z - z^3/3)\bigg|_{z=0}^{z= 1-x-y}=x^2(1-x-y) - (1-x-y)^3/3\)

Let's expand that as a polynomial in y for the next integration,

\(= y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3\)

The middle integration is

\(\displaystyle \int_0^{1-x} ( y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3)dy\)

\(= y^4/12 + (x-1)y^3/3+ (2x+1)y^2/2- (2x^3+1)y/3 \bigg|_{y=0}^{y=1-x} \)

\(= (1-x)^4/12 + (x-1)(1-x)^3/3+ (2x+1)(1-x)^2/2- (2x^3+1)(1-x)/3\)

Expanding, that's

\(=\frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1)\)

so our outer integral is

\(\displaystyle \int_0^1 \frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1) dx\)

That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).

\(= (5/5 + 16/4 - 36/3 + 16/2 - 1)/12\)

\(=0\)

That's a surprise. You might want to check it.

Answer: 0

Answer: x ≥ 3

Step-by-step explanation:

The sales tax percentage is 10% .

to find the sales tax

610 * x / 100 + 610 = 671

6.1x + 610 = 671

6.1x = 61

x = 10%

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Answer:

D

Step-by-step explanation:

sin  (  3pi / 4 )

 =  sin   (   pi   -   pi  /  4   )

 =  sin   (   pi / 4  )

 = 1/root(2)

  =  root(2) / 2

Answer:

$1000

Step-by-step explanation:

$200 was saved on a new laptop

This was 20% of the original price of the laptop

Therefote the original cost of the laptop can be calculated as follows

= 20/100x = 200

= 0.2x= 200

Divide both sides by the coefficient of x which is 0.2

x= 200/0.2

= 1000

Hence the original cost of the laptop is $1000