can someone help me figure out how to do unit cube finding volume please?

Answer:

34.6 and 145.4

Step-by-step explanation:

x+(x+110.8) = 180

2x= 180-110.8

2x= 69.2

x= 34.6

Measure of each angle:

x= 34.6

x+110.8 = 34.6 + 110.8 = 145.4

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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Answer:

children = 87 ; adults = 366

Step-by-step explanation:

a + c = 453

2.25a + 1.25c = 932.25

a = 453 - c

2.25(453 - c) + 1.25c = 932.25

1019.25 - 2.25c + 1.25c = 932.25

-c = 932.25 - 1019.25

-c = -87

c = 87

a = 453 - 87

a = 366

The exponential function is P(t)=60(4)^t that can be expressed in terms of feature of the subsequent form: f ( x ) = a x.

Initial population 'a'=60 rabbits

After 1 year, the rabbit population is 240.

An exponential feature is a mathematical feature of the subsequent form: f ( x ) = a x. wherein x is a variable, and a is a regular known as the bottom of the feature.

Equation of the exponential function.

y=ab^x

Put x=0, y=60

60=ab^0

a=60

Put x=1, y=240

240=60(b)^1

b=4

Thus,

y=60(4)^x

P(t)=60(4)^t

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Explanation:

Let's see what happens when a = b

Let's pick something like a = 2, so b = 2.

|a-b| = |2-2| = |0| = 0

|a|-|b| = |2|-|2| = 2-2 = 0

Both result in 0.

We see that |a-b| = |a|-|b| is true for this example.

The given equation is either "sometimes true" or "always true"

--------------

Now let's pick something where a < b. Let a = 1 and b = 2

|a-b| = |1-2| = |-1| = 1

|a|-|b| = |1|-|2| = 1-2 = -1

We get different results, so |a-b| = |a|-|b| is not true for this example.

So this leads us to say the original equation is sometimes true.

\(|a-b| = |a| - |b|\) if and only if \(a \ge 0\,\land\,b\ge 0\). That is, it is sometimes the same.

Absolute Value is a mathematic Form which represents either the Magnitude or the Distance respect to Origin of a given Real Number, whose is depicted below:

\(|x| = \left \{ {{x,\,x\ge 0} \atop {-x,\,x< 0}} \right.\), for all \(x\in \mathbb{R}\) (1)

In this question we must check if \(|a|-|b| = |a - b|\). Hence, we must check it for the following four cases:

(i) \(a \ge 0\,\land\,b\ge 0\)

(ii) \(a\ge 0\,\land \,b < 0\)

(iii) \(a < 0\,\land\,b<0\)

(iv) \(a< 0\,\land b\,\ge 0\)

Case I

1) \(|a| \ge 0\), \(|b| \ge 0\), \(|a-b| \ge 0\) Definition of absolute value.

2) \(a \ge 0\,\land\,b\ge 0\) Given.

3) \(a - b = a - b\) Definition of absolute value/Reflexive Property

4) \(|a-b| = |a| - |b|\) Result.

Case II

1) \(|a| \ge 0\), \(|b| \ge 0\), \(|a-b| \ge 0\) Definition of absolute value.

2) \(a\ge 0\,\land \,b < 0\) Given.

3) \(a - b =^{?} a - (-b)\) Definition of absolute value.

4) \(a - b =^{?} a + b\)    \(-(-x) = x\)

5) \(-b =^{?} b\) Compatibility with addition/Modulative property/Existence of additive inverse/Absurd found.

6) \(|a-b| \ne |a| - |b|\) Reductio ad absurdum.

Case III

1) \(|a| \ge 0\), \(|b| \ge 0\), \(|a-b| \ge 0\) Definition of absolute value.

2) \(a < 0\,\land\,b<0\) Given.

3) \(a-b =^{?} -a-(-b)\) Definition of absolute value.

4) \(a-b =^{?} -(a -b)\)   \((-1)\cdot x = -x\)/Distributive property/Absurd found.

5) \(|a-b| \ne |a| - |b|\) Reductio ad absurdum.

Case IV

1) \(|a| \ge 0\), \(|b| \ge 0\), \(|a-b| \ge 0\) Definition of absolute value.

2) \(a< 0\,\land b\,\ge 0\) GIven.

3) \(a-b =^{?} -a - b\)  Definition of absolute value.

4) \(a =^{?} -a\) Compatibility with addition/Modulative property/Existence of additive inverse/Absurd found.

5) \(|a-b| \ne |a| - |b|\) Reductio ad absurdum.

In a nutshell, \(|a-b| = |a| - |b|\) if and only if \(a \ge 0\,\land\,b\ge 0\). That is, it is sometimes the same.

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The value of the sides are;

CB = 13.8

CD = 6. 9

To determine the value of the sides of the triangle, we need to know the different trigonometric identities are;

From the information given, we have that;

Using the sine identity, we have that;

tan 60 = CD/4

cross multiply the values, we have;

CD = 4(1.73)

multiply the values

CD = 6.9

To determine the value;

sin 30 = 6.9/CB

CB = 13.8

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Answer:

Brian: 22

Charlie: 88

Latoya: 14

Step-by-step explanation:

Set up an equation where b represents the number of messages Brian sent:

4b will represent Charlie because he sent 4 times more texts than Brian did

(b - 8) represents Latoya because they sent 8 less texts than Brian:

b + 4b + (b - 8) = 124

Add like terms:

6b - 8 = 124

6b = 132

b = 22

Now, we can plug in 22 as b to find Charlie and Latoya's number of texts:

4b = 4(22) = 88

b - 8 = 22 - 8 = 14

Answer:

x = -6

Explanation:

Answer:

\(36\)

Step-by-step explanation:

The expression \(_nC_k\) is used to denote the number of ways you can choose \(k\) things from a set of \(n\) things. It is equal to:

\(_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}\)

In this case, \(n=9\) and \(k=2\), so:

\(\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}\)

You can also think of it like this:

\(_9C_2\) is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are \(9\cdot 8=72\) permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is \(2!\). Our answer is thus \(\frac{72}{2!}=\frac{72}{2}=\boxed{36}\)

=========================================================

Explanation:

We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.

Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.

Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36

The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The center line that goes from left to right is your x axis and the line that goes from top to bottom is you y axis

The transformation on a line such that a line is obtained which is pependicular to previous line is possible only when it is reflected through y = x axis. This can be understood as,

When line is reflected about x-axis, the x coordinate remain same where as y-coordinate changes in opposite sign with same magnitude. So reflection of line x = 3 about x axis remain same.

Simillarly reflection of line x = 3 about x = 1 remain same as x = 3.

The reflection of line x = 3 about y-axis results n a parallel line passing through x = -3.

So answer is reflection across y = x.

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Given the equation below

Step 1: Write out the standard form of the equation of a parabola

The standard form is

Answer:

B (-4, -5)

Step-by-step explanation:

A midpoint has to be exactly in the middle making the line split equally. I used Desmos to get my answer (it's a graphing calculator). And the line was slanted. Hope it's right! Plz tell is not!

Answer:

289

Step-by-step explanation:

23 × 3 = 69

then add four times to the difference of 123 and 68

123 - 68 = 56

56 × 4 = 220 + 69 = 289

500+350.26+568.45+480.34+649.90 = $2548.95

hope it really helps...!!!

An urn contains 4 blue and 3 yellow chips, two are removed in succession without replacement. The probability both chips are blue is 15/14

Since the balls are to be removed in succession,

For removing first ball:

Total probability to remove the ball from 7 balls = 7c1

The probability for removing one blue ball out of 4 blue balls = 4c1

So final probability = 4c1/7c1

Now the remaining balls = 7-1 = 6

The remaining blue balls = 4-1 = 3

For removing second ball:

Total probability to remove one ball out of 6 balls = 6c1

The probability for removing one blue ball out of 3 blue balls = 3c1

So final probability = 3c1/6c1

The final probability to remove two blue balls in succession out of 7 balls is = 4c1/7c1 + 3c1/6c1

   = 4/7 + 3/6

   = 15/14

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Answer:

Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48

fourth 48 + 48=96

 fifth 96+96=192

sixth  192+192=384

seventh 384+384=768

last but not least 768+768 = 1536

so your answer is 1,536

Answer:

B.

Step-by-step explanation:

the negative 5 means that the parabola will open down. the positive 11 in the parentheses is graphed as a negative 11 and the negative 28 stays the same.

Answer:

2 feet.

Step-by-step explanation:

Since the volume of cube A is 64, we can divide the edge (4) by two because cube B can only hold half as much liquid.

Thus, the edge of cube b is 2 feet.

Hope it helped!

Answer:

SAS

Step-by-step explanation:

ok so there is one angle and 2 sides

Answer:

(-2, 21) and (2, -11)  let me know if anything didn't make sense

Step-by-step explanation:

Try and put the symbols in, so for x to the third power write x^3  just makes it all much easier.

The turning point is when a graph changes from increasing to decreasing, or the other way around.  What this means is that its slope is changing from positive to negative, or the other way around.  

The derivative allows you to find the slope at any point of a graph.  If you are unfamiliar witht his concept let me know and I can go more into it.  

Since the derrivative tells you the slope, if you find a spot where it equals 0 then you know before that point it was positive or negative, and then after that point it was the opposite.  In other words it changes, so it's exactly what we are looking for.  Also if a derrivative is ever non existant, like in the square root function the numbers under the square root cannot be negative, so any x value that makes them negative doesn't exist, this means you would want to check these point too because they can be turning points as well.

There are certain special cases where a derivative does not coss 0, and if that happens then the original function does not have a turning point.  So keep that in mind.

The derivative is 3x^2 - 12.  So we want to find when this equals 0.   We also know it always exists so only need to worry about the 0s. Hopefully you are familiar with quadratics having two zeroes, if not let me know.

3x^2 - 12 = 0

3x^2 = 12

x^2 = 4

x = 2 and-2

So these are the turning points.  You should double check though and choose an x value below -2, then between -2 and 2, then larger than 2 and make sure the signs swap.

These are the x values of the turning points.  Solve f(x) at these points to find the y values.  so f(-2) = (-2)^3 - 12(-2) + 5 = 21 and f(2) = -11  so now we know the turning points are (-2, 21) and (2, -11)

The coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations. The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.

The turning point is when a graph changes from increasing to decreasing, or the other way around that means, its slope is changing from positive to negative.

Given that the derivative of f(x) = x³ – 12x + 5 is 3x² - 12.

Since the derrivative tells the slope, if you find a spot where it equals 0 then before that point it was positive or negative, and then after that point it was the opposite.

The derivative is 3x² - 12.

3x² - 12 = 0

3x²  = 12

x²  = 4

Thus, x = 2 and-2

So, these are the turning points.  

Now Solve f(x) at these points to find the y values.  

so f(x) = x³ – 12x + 5

f(-2) = (-2)³ - 12(-2) + 5 = 21

f(2) = -11  

Hence, the coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

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Answer: 9 units away from zero.

Step-by-step explanation: I think in this case is asking -9+x=0

So, x would be 9.

Answer:

F=ma

Mass is in kg, so we have mass= 4.0kg

since we have a= 2.0 m/s² and m= 4.0kg

F=ma

F= 4.0 x 2.0

F= 8.0N

This function can be represented as a the rational function y = 2 /x+2 that is option A.

In mathematics, a function is a relationship between two sets of elements, where each element of the first set (the domain) is associated with exactly one element of the second set (the range). In other words, a function is a rule that assigns to each input value from the domain a unique output value from the range.

Here,

To show that the given function can be represented as a rational function in the form y = A/(x+B), where A and B are constants, we need to perform partial fraction decomposition. Starting with the given function:

y = 2/(x+2)

We can write this as:

y = A/(x+2) + B

Where A and B are constants to be determined.

To solve for A and B, we can multiply both sides of the equation by the denominator of the first term, (x+2):

y(x+2) = A + B(x+2)

Now, we can substitute in values of x to solve for A and B.

Let x = -2:

y(-2+2) = A + B(-2+2)

y(0) = A

A = 2

Let x = 0:

y(0+2) = A + B(0+2)

y(2) = 2B + A

Substitute A = 2:

y(2) = 2B + 2

Solve for B:

y(2) - 2 = 2B

y(2) - 2 = 2/(2+2)

y(2) - 2 = 1/2

2B = (1/2) - 2

B = -3/4

Therefore, we have found that:

y = 2/(x+2) - 3/4

which can be written as:

y = (8-3x)/(4(x+2))

So the answer is (a) x+2.

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Answer:

Step-by-step explanation:

If Marios share is 3 parts and is £96, then

Find one part = 96/3 = 32

So,

Rachel receives = 32 x 4 = £128

Sanjay receives = 32 x 9 = £288

Hope this helps

An expression for the percent error in Theresa estimate is (5.4-5)/5 ×100.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Theresa estimated that a caterpillar was 5 centimeters long. Later, she found its actual length to be 5.4 centimeters.

Now, percent error = (Actual length-Expected length)/Expected length ×100

= (5.4-5)/5 ×100

= 0.4/5 ×100

= 0.08×100

= 8%

Therefore, the percent error in Theresa estimate is 8%.

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Answer:

B is (-2,-4)

Step-by-step explanation:

The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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