Motorhead

1. Place the data in ascending order. 2. Group the data into two equal parts. You have an odd number of pieces of data, so put brackets around the first six numbers, leave the middle number on its own, and put brackets around the last six numbers. 3. Find...

6 years ago

a) the period where they are making deposits is a future value annuity, so use the future value annuity formula to find out how much is in the account after 8 years: FV = R[(1+I)^n]/i (Remember that the regular deposit, R, is 2*1875) The period where thei...

6 years ago

1. y = arcsin(x ²) Let u = x ² y = arcsin(u) dy/dx = (dy/du)(du/dx) dy/dx = (1/√ (1-u ² ))(2x) dy/dx = (1/√ (1-(x ²) ² ))(2x) dy/dx = 2x/√ (1-x^4) At x = 0.5: dy/dx = 2(0.5)/√ (1-0.5^4) ~ 1.033 Similar approach for 2. and 3, assuming you have the basic in...

6 years ago

λ = 2π/k λ = 2π rad/32.5 rad/m λ ~ 0.193 m f = ω/2π f = (754 rad/s)/(2π rad) f ~ 120 cycles/s or Hz v = ω/k v = (754 rad/s)/(32.5 rad/m) v = 24505 m/s

6 years ago

Since you are dividing f by g, you'll have a denominator of x-5. What value of x will make the denominator 0? Specify in your domain that x can't be equal to that number.

6 years ago

The number of cards in her collection is divisible by 7. The number of cards in her collection must also be even - consider the 16 great-grandchildren, with x being the number of cards each child would receive. The number of cards in the collection equals...

6 years ago

You've factored correctly, but each factor is restricted to not being equal to 0. In other words, x + 3 ≠ 0, giving x ≠ -3, and x - 4 ≠ 0, giving x ≠ 4.

6 years ago

rank?

6 years ago

As given in the question: x is the number of low grade packages y is the number of high grade packages For peanuts, we have: 8x + 6y = 100 For cashews, we have: 4x + 6y = 80 The graph you need should have the above two lines on it.

6 years ago

Log(base 125) 625 = 4/3

6 years ago

Volume of a prism = area of base x height

6 years ago

From your given equation (using p as rho), the density at that depth is: p = 45 kg/m³ + (12 kg/m^4)(10 m) p = 165 kg/m³ Pressure = pgh = (165 kg/m³)(9.8 m/s ² )(10 m) = 16170 kg/m-s² = 16170 Pa = 16.17 kPa

6 years ago

That's a great start. You could continue by creating some more true statements based on the given values; e.g. 4(-1) - (-2) - (-3) = 1, so 4x-y-z = 1 etc.

6 years ago

Start with simpler models. For example, 2 people in a row can be seated in 2 ways, but sitting along a circle, there is just 1 way. 3 people in a row can be seated in 6 ways, but once they are in a circle, there are just 2 ways (draw this to see why). Con...

6 years ago

no worries

6 years ago

The scale factor means that figure WXYZ has sides that are 1/3 as long the corresponding sides of figure STUV. Thus: WX = (1/3)(117) = 39 mm WZ = (1/3)(153) = 51 mm Hmm...looks like your question needs a little more information for you to figure out YZ. D...

6 years ago

Draw the lines as described (takes about a minute) and you'll be able to see which pair of angles are adjacent (right beside each other).

6 years ago

You've done step 1. Try step 2, which can be done manually (without formulas). Once you finish that, step 3 will seem easier because you may see some patterns in your table created in step 2, to help you figure out the formulas.

6 years ago

Start with a list of the double digit prime numbers for reference: 11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79, 83, 89, 97 For the smallest 9-digit number that follows the given rule, start with 1. 1 We then try 2 next to that and find that it w...

6 years ago

I take it you're looking for an idea - you could write a problem about a cube-shaped object, such as a die.

6 years ago

I assume there are meant to be brackets around 1/2. If you are expanding and simplifying: (1/2){x - 4(2y - 3x)} = (1/2){x - 8y + 12x} = (1/2){13x - 8y} = (13/2)x - 4y = 6.5x - 4y

6 years ago

Let u = 2x+1 Let v = ln u Then y = tan v dy/dx = (dy/dv)(dv/du)(du/dx) dy/dx = (sec²v)(1/u)(2) dy/dx = (sec²(ln (2x+1))(1/(2x+1))(2) dy/dx = 2sec²(ln (2x+1))/(2x+1)

6 years ago

Assuming that "next pay" was meant to be "net pay". Let x be her gross monthly pay. x - 87 - 0.025x - 0.012x = 3981.22 Now solve for x.

6 years ago

Step 1: The z-score for each score can be calculated using: z = (x – μ) / σ For the first score given, 71: z = (71 – 65) / 6 z = 6/6 z = 1 This means that the score 71 is 1 standard deviation above the mean. Step2: Use the formula again to figure out what...

6 years ago

To start with, any 7-number set with the given 5 number summary will look like this: 4, _, _, _, _, _, 19 Since there's an odd number of pieces of data, the middle value is the median, M, so the set must also look like this: 4, _, _, 12, _, _, 19 Now thin...

6 years ago

Base * width * height = 3 cubic feet First convert the base measurement to feet: 3 inches = 1/4 ft (1/4)*x*x = 3 (1/4)x² = 3 Now solve for x.

6 years ago

Those would be the two roots you got when you solved the quadratic equation. But remember x is the speed of the slower eastbound plane, so these are two possible values for just that one. You omit the negative answer as it is impossible for speed. So we h...

6 years ago

Your answer is mathematically correct, but it's in vertex form. Expand and simplify it to put it in factored form.

6 years ago

You've completed the square correctly, but the left side of your equation should be 0, not x. 0 =16(x−3/4)^2−32. Also, there's more work to do. Rearrange the equation to isolate x. This will take about 4 steps.

6 years ago

Di you mean 8.4 g/cm ³ ? If so, you'd use mass / density = volume: 1050 g / 8.4 g/cm ³ = 125 cm ³ Then divide out the 2 mm height to get the area of the square side or the plate: 125 cm ³ / 0.2 cm = 62.5 cm ² Finally square root that to get the side lengt...

6 years ago

Without being able to see your image, here are some guidelines: a) Consider how the key pieces of data on one graph compare to those on the other graph (e.g. compare the mins, lower quartiles, medians, upper quartiles, and maxes). b) IQR = Q3 - Q1 (ends o...

6 years ago

Search for "stem and leaf plot". In results, the sites mathsisfun and purplemath have good info.

6 years ago