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Motorhead
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Search for "stem and leaf plot". In results, the sites mathsisfun and purplemath have good info.
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 of
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
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.
Your answer is mathematically correct, but it's in vertex form. Expand and simplify it to put it in factored form.
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
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.
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 think
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
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.
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)
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
I take it you're looking for an idea - you could write a problem about a cube-shaped object, such as a die.
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
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.
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).
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.
no worries
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).
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.
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
Volume of a prism = area of base x height
Log(base 125) 625 = 4/3
rank?
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.
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
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.
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
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
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 their
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
