Work out − 5 × ( − 8 )

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

The shoulders contain approximately 4.3% of the bones in a typical human body.

To estimate the percentage of bones in the shoulders in a typical human body, we need to consider the total number of bones in the body and the number of bones in the shoulders. The human body has 206 bones on average.

The shoulders consist of the clavicle (collarbone), scapula (shoulder blade), and the humerus (upper arm bone). These three bones make up a small fraction of the total number of bones in the body.

Assuming the shoulders contain 9 bones (2 clavicles, 2 scapulae, and 2 humeri), we can calculate the percentage as follows:

Percentage of bones in the shoulders = (Number of bones in shoulders / Total number of bones) × 100

Percentage of bones in the shoulders = (9 / 206) × 100 ≈ 4.37%

To estimate the percentage of leg bones, we can apply a similar approach. By counting the number of bones in the legs (including the femur, tibia, fibula, and other smaller bones), we can calculate the percentage of leg bones using the same formula.

Therefore, by following a similar calculation, we can estimate the percentage of leg bones in a typical human body.

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A transformation that maps ∆ABC to ∆ADE is a dilation.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric shape, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (enlargement) or decreased (reduction) based on the scale factor applied.

By critically observing the diagram of the triangles, we can reasonably infer and logically deduce that a transformation that maps ∆ABC unto ∆ADE would be a dilation by a scale factor that is greater than 1 and centered at the origin.

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Answer:

22

Step-by-step explanation:

do 2 to the power of 3 first then multiply 8 by 2 then add 6 and 16

6+8.2

6+ 16

22

Answer:

The Giraffe has a weight which is 3 times that of the Gorilla

Step-by-step explanation:

Here, we are interested in calculating the number of ways in which the giraffe’s weight is greater than the gorillas

From the question, the weight of the giraffe is 4.5 * 10^3 pounds

The weight of the Gorilla is 150 pounds

So, the number of ways it will be greater will be;

(4.5 * 10^3)/150 = 4500/150 = 30 times

The Giraffe is 3 times the weight of the Gorilla

Answer:

Step-by-step explanation:

Option 1 total:

Option 2 total:

The difference:

As we see the option 1 is cheaper by $851.70

Correct answer choice is the last one

Answer:

2079

Step-by-step explanation:

is the correct answer 2079

The probability of randomly selecting a two-letter sequence that corresponds to a postal abbreviation for one of the 50 states, the District of Columbia, or Puerto Rico is 51 out of 676, or approximately 7.55%.

There are 50 states, the District of Columbia, and Puerto Rico, making a total of 52 entities. Each entity has a unique two-letter postal abbreviation. Since there are 26 letters in the English alphabet, there are 26 choices for the first letter and 26 choices for the second letter, resulting in a total of 26 * 26 = 676 possible two-letter sequences.

Out of these 676 possibilities, only 51 of them correspond to the postal abbreviations for the states, the District of Columbia, or Puerto Rico. Therefore, the probability of randomly selecting a two-letter sequence that matches one of these postal abbreviations is 51/676, or approximately 0.0755, which is equivalent to 7.55%.

In conclusion, the probability that a randomly chosen two-letter sequence is a postal abbreviation for one of the 50 states, the District of Columbia, or Puerto Rico is approximately 7.55%.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Yes,  quadrilateral WXYZ a parallelogram because both diagonals bisect each other. Option A is correct.

We know that WM = MY = 11 in, and XM = MZ = 8 in.

It can be observed that WX is parallel to  YZ and WZ is parallel to  XY. If the opposite sides of a quadrilateral are parallel, it is known as a parallelogram.

Therefore, WXYZ is a parallelogram as opposite sides WX and YZ, as well as WZ and XY, are parallel to each other.

So, the correct option is A) Yes, because both diagonals bisect each other.

The two diagonals of a parallelogram intersect each other at their midpoint and bisect each other. As a result, the intersection point, M, of the diagonals is the midpoint of both diagonals.

Since the diagonals of WXYZ intersect at M, which is also the midpoint of both diagonals, WXYZ is a parallelogram.

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Answer:

R= 1.69

Step-by-step explanation:

For this, you just have to remember that the volume of a cone is 1/3hπr² (1/3 times pi times the radius squared). Our volume is 12π, so we plug in 12π into our formula, as well as our height of 4 inches, to solve for the radius, like so:

12π=(1/3)(4)πr²

Now we just do the rest of the math.

12π=(1/3)(4)πr²

12=(1/3)(4)r² (divide both sides by π)

3=1/3r² (divide both sides by 4)

9=r² (divide both sides by 1/3)

3=r (take the square root of both sides).

Therefore, the radius of the cone is 3.

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA can remind you of the relevant relationships. The given side is the hypotenuse. x is the side opposite the given angle.

  Sin = Opposite/Hypotenuse

  sin(51°) = x/(9 ft)

  x = (9 ft)sin(51°)

  x ≈ 6.99 ft

__

  Cos = Adjacent/Hypotenuse

  cos(51°) = y/(9 ft)

  y = (9 ft)cos(51°)

  y ≈ 5.66 ft

Answer:

17% the next chew Casho pulls out is pineapple

Step-by-step explanation:

pineapple chew 9/54

lemon chew 15/54

lime chew 30/54

9/54 = 0.1666666... make this a percent and you get 17% of the time Casho will pull out a pineapple chew.

Answer:

...................................................................

Step-by-step explanation:

Answer:

1 meter

Step-by-step explanation:

Circumference of circle = 2 · r · π

Circumference = 2π

Let's solve

2π = 2 · r · π

2 = 2 · r

r = 1 meter

So, the radius is 1 meter

The estimated number of times it will land on an odd number is 30times

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and the equivalent in percentage is 100%

Probability = sample space / Total outcome

The sample is odd number, odd numbers are numbers that can not be divided by 2

sample space = 3

Therefore probability getting odd number

= 3/5

If it is spinned 50 times

= 3/5 × 50

= 30

Therefore the estimated number of times it will land on a odd number is 30 times.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

The 6th one is x=70 and <BCX=145

Answer:

4x²( x¹0 - 16)

Therefore, the expression 4x¹0-64x² can be rewritten as 4x²(x¹0 - 16) by factoring out the greatest common factor.

4x²(x^8 - 16)

Then, we can use the difference of squares formula to factor x^8 - 16, which gives:

4x²(x^4 + 4)(x^2 + 2)(x^2 - 2)

Therefore, the fully factored form of 4x¹0-64x² is 4x²(x^4 + 4)(x^2 + 2)(x^2 - 2).

If you buy 3 sodas, the probability that two will be sprite and one will be a root beer is approximately 0.070, or 7%.

To calculate the probability of getting two cans of Sprite and one can of root beer, we'll use the formula for probability:

Probability = (Number of favorable outcomes) / (Total possible outcomes)

First, let's calculate the total number of ways to select 3 sodas from 31 available sodas (14 Cokes, 10 Sprites, and 7 root beers). We'll use combinations for this:

C(n, r) = n! / (r!(n-r)!)

Total outcomes = C(31, 3) = 31! / (3! * (31-3)!)
Total outcomes = 31! / (3! * 28!) = 4495

Now, let's calculate the number of favorable outcomes. This means selecting two Sprites and one root beer:

Favorable outcomes = C(10, 2) * C(7, 1) = (10! / (2! * 8!)) * (7! / (1! * 6!))
Favorable outcomes = (45) * (7) = 315

Finally, we'll divide the number of favorable outcomes by the total number of possible outcomes:

Probability = 315 / 4495 ≈ 0.070

So, the probability of getting two Sprites and one root beer is approximately 0.070, or 7%, rounded to three decimal places.

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Answer:

(x^2+4)+10

Step-by-step explanation:

i think

If the equilibrium constant (K) < 1 , then, the Gibbs free energy change(ΔG) is positive. So, option D is correct alternative.

The relative concentrations of reactants and products in a chemical reaction are gauged by the equilibrium constant (K), which is the case in this case. Typical chemical reactions are as follows:

aA + bB ⇌ cC + dD

The equilibrium constant is defined as:

\(K = \frac{[C]^c[D]^d }{ [A]^a[B]^b}\)

Where [A], [B], [C], and [D] are the molar concentrations of reactants and products at equilibrium, and a, b, c, and d are the stoichiometric coefficients of the balanced chemical equation.

The Gibbs free energy change (ΔG) is a measure of the amount of energy available to do useful work during a chemical reaction.

The following equation describes the relationship between the equilibrium constant (K) and the change in the Gibbs free energy (ΔG):

ΔG = -RTln(K)

Where R is the gas constant and T is the temperature.

If K < 1, then ln(K) is negative. So, to make the right-hand side of the equation negative, ΔG must be positive.

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Answer:

A)

Step-by-step explanation:

B is in the middle, so it has to be in the middle of the angle name.

this rules out C, D, and B

making A the answer by the rule of elimination.

Answer:

Step-by-step explanation:

Answer:

13.50%

Step-by-step explanation:

Price difference = 3.70 - 3.20 = 0.50

So 0.50 is what percent of 3.70?

(0.50/3.70) x 100 = 13.51%

13.51% to the nearest tenth = 13.50%

Hope this helps!

Answer:

7/12

Step-by-step explanation:

10 white balls and 14 red balls = 24 balls

P( red) = number of red balls / total balls

           =14/24

           =7/12

Answer:

the table goes:

12 -> 7.50

13 ->8.0

15 -> 9.0

16 -> 9.5

Step-by-step explanation:

a) $15

b) 25 bagels

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

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Answer:

Coinciding

Step-by-step explanation:

here are the two equations:

y=-3x-1

3x+y=-1

in the second equation, subtract 3x from both sides

y=-3x-1

Which is the same as the first equation

That means the lines are coinciding, which means they are the same

Hope this helps!