R_Scott

Marcy has ____ toy animals. She gives 6 to Leslie. She gives 4 to Beth. How many toy animals does Marcy give away? 6 + 4 = ____ How many toy animals does Marcy have now? ____ - ____ = ____

4 years ago

from wikipedia ,,, For a spherically symmetric, massive body such as a star, or planet, the escape velocity for that body, at a given distance, is calculated by the formula ve = √[(2 G M) / r] G = universal gravitation constant M = mass of Enceladus r = r...

6 years ago

P atoms ... 283.89 * .4364 / (P atomic mass) O works the same way

6 years ago

speed = wavelength * frequency

6 years ago

which one can't you feel?

6 years ago

"within" is taken to mean "not touching a side" the center of the coin must land inside of a "nested" inner triangle whose edges are parallel to the 9 cm triangle and .5 cm inside the ratio of the areas of the inner and outer triangles is the probability

6 years ago

the side length of the inner triangle is ... 9 - √3 the ratio of the areas is the square of the ratio of the side lengths

6 years ago

as x becomes very large , the -8 and -6 become inconsequential the function approaches 2

6 years ago

look up CALCIUM's electron structure

6 years ago

yes they are usually called "recessive" genes

6 years ago

there are five "stages" heat ice to 0º melt ice heat water to 100º boil water heat steam you will need the specific heats of ice, water, and steam

6 years ago

the water in the flask loses heat to the ice ... (mass of water) * (specific heat of water) * (temperature change) the ice melts , and the resulting water is heated to the final flask temperature ... (mass of ice) * (latent heat of fusion of ice) ... plus...

6 years ago

A. using a planar section through the Earth from pole to pole ... construct a right triangle using the center of the Earth, the equatorial plane, and the line of 46ºN ... the hypotenuse is the radius of the Earth from the center to 46ºN ... the side lying...

6 years ago

A) displacement is the distance (and direction) from the starting point to the finishing point ... it is a vector quantity B) the average speed is the actual distance that he ran, divided by the time it took ... it is a scalar quantity C) the average velo...

6 years ago

temperature is a measure of the average kinetic of the particles higher temperature means faster moving particles faster particles collide with more impact energy (for activation)

6 years ago

final course grade = (.15 * 73) + (.15 * 97) + (.40 * 81) + (.30 * 68)

6 years ago

the black ball's initial momentum is now shared by both balls find the initial momentum (it is conserved) use the combined mass to find the new velocity

6 years ago

mass1 * (distance1 from CG) = mass2 * (distance2 from CG) distance1 + distance2 = 0.20 m

6 years ago

the function rule tells you how to get y from x x is increasing by 2, while y decreases by 1 ... this means the slope is -1/2 try some values to see if you can find the y-intercept

6 years ago

1/9 of the copper's mass is "supported" by the water tension = 8/9 * g * 0.5 kg ... Newtons

6 years ago

(final amount) = (initial amount) * [1 + (interest rate)]^(years) ... = 800 * (1 + .08)^3 gain = final - initial

6 years ago

energy = mass * (specific heat) * (temperature change) 800 J = 1 kg * (specific heat) * (30 ºC - T) there are many types of glass , each with is own specific heat ... find a workable value and use it ... make sure the units include Joules and ºC

6 years ago

his weight is not a factor the free fall equation is ... h = -1/2 g t^2 + Vo t + Ho ... h is height , g is gravitational acceleration ... Vo is initial velocity , Ho is initial height h = 0 at the bottom , g = 32 ft/s^2 0 = -16 t^2 + 0 t + 5996 solve the...

6 years ago

use ... f = m a ... on the 3 kg car ... the f is the tension

6 years ago

the hot water looses heat , and the bath water gains heat [80.0ºC - (final temp)] * 2.00 kg = [(final temp) - 27.0ºC] * 20.0 kg

6 years ago

more work needed are you clear on homozygous vs heterozygous?

6 years ago

14^2 = ? ? / 90 = !

6 years ago

500mL of 3M HCl contains 1.5 moles of HCl so 129.31 mL of the 11.6 M acid is needed acid is added to water (NOT vice versa) using a volumetric cylinder, add the necessary acid to 350 ml of water ... then add more water to make the 500 mL of solution requi...

6 years ago

r^(5 - 2) = 48 / 6 ... r^3 = 8 ... r = 2 An = 3 * 2^(n-1)

6 years ago

let a = k3 , b = k5 , c = k7.50 b = 3 a c = b + 500 3 a + 5 b + 7.5 c = 42225 substituting ... 3(b / 3) + 5 b + 7.5(b + 500) = 42225 solve for b , then substitute back to find a and c

6 years ago

find the flight time ... 0.62 = 1/2 g t^2 use the time (t) to find the horizontal distance ... d = 0.61 t

6 years ago

by inspection , 15 is the average of 20 and 10 ... so, equal amounts of the two with algebra ... .20 x + .10(1200 - x) = .15 * 1200

6 years ago

angular momentum is conserved angular momentum = moment of inertia * rotational speed

6 years ago

x^2 + y^2 = r^2

6 years ago

umm ... the level started at 12 cm volume = (14 - 12) * 10 * 10

6 years ago

i refer you, again, to ... x^2 + y^2 = r^2 1^2 + (-√3)^2 = 1 + 3 = 4 = r^2 only one answer fits

6 years ago

{2.32 / [molar mass Al(OH)3(s)]} * 3 = moles (OH⎺) each mole of OH⎺ needs one mole of HCl to neutralize it

6 years ago

all the planets have elliptical orbits ... with varying amounts of eccentricity (elliptical-ness) the eccentricity of the Earth's orbit is very low ... the orbit is very close to circular

6 years ago

each flip is an independent event ... with the probability of heads being 1/2 the probability of multiple independent events is ... the product of their individual probabilities

6 years ago

1/2 * 1/2 * 1/2 * 1/2 = ?

6 years ago

the pole is OPPOSITE the 23º angle the 10 m rope is the HYPOTENUSE of the triangle

6 years ago

the ladder is the HYPOTENUSE the wall is OPPOSITE the 40º angle

6 years ago

a year is the time it takes for WHAT to happen?

6 years ago

work = m g h = m * 9.8 * 25 power = work / time ... 1500 w = work / 90 s m = (power * time) / (g * h)

6 years ago

looks good

6 years ago

find the volume of the ball (sphere) mass = volume * density forces on the ball ... gravity ... downward ... m * g ... buoyancy ... upward ... equal to mass of water displaced times g (ball volume) * (water density) * g = ... [(ball mass) * g] + (hold dow...

6 years ago

by definition ... c / 1.33

6 years ago

angle of incidence (and of reflection) is measured from the normal to the surface draw a sketch to see the right triangle to be solved

6 years ago

aeroplane ... or space capsule? inverse square root of 3/2 (3/2 * 6400) - 6400

6 years ago

woof ... not fully awake yet inverse square root of 4/9 is 3/2 (3/2 * 6400) - 6400 = ?

6 years ago

I agree

6 years ago

umm ... you might want to rethink 5 and 20

6 years ago

if the Earth was flat , then other celestial bodies would be also ... the "formation" process is universal so if they are all flat , why do they all appear round are we so special that they all always face us?

6 years ago

h / 2m = tan(50º)

6 years ago

the area is the product (multiplication) of the two dimensions (5 x 10^5 m) * (4 x 10^4 m) = (5 * 4) x (10^5 * 10^4) m^2 = 20 x 10^9 m^2 for scientific notation the leading digit is between 1 and 10 ... in this case ... 2 x 10^10 m^2 area is measured in s...

6 years ago

I was unaware that (at astronomical distances) the shape of a mass had any gravitational effects

6 years ago

picture the cup as a stack of discs the thickness of a disc is dy ... the radius of a disc is x ... the volume of a disc is ... π x^2 dy ... y = x^2 ... dv = π y dy integrating from y = 0 to y = 1 ... v = π y^2 / 2

6 years ago

.85 w = 4.25 * 1.04

6 years ago

yes

6 years ago

what's the only thing that doesn't (can't) move (stationary reference point)

6 years ago

V = 1/3 π r^2 h = 1/3 * π * r^2 * (4 r / 3) = (4 π / 9) * r^3 implicit differentiation ... dV = (4 π / 9) * 3 r^2 dr = (4 π / 3) * r^2 dr use the equation by plugging in known (given) values and solving

6 years ago

the radius , height , and slant height form a right triangle ... with the slant height as the hypotenuse hint ... it's a Pythagorean triple

6 years ago

the courses of the motorcycles are perpendicular draw a diagram to see the right triangle that is formed by the courses the positions of the motorcycles change from start to one hour and two hours the distance (D) between them is the hypotenuse of the tri...

6 years ago

62.5 * (3 / 2.1)^2

6 years ago

work = m g h = 58 * 9.8 * 14.1 Joules POWER is based on the time it takes to lift the stone power = work / time = m g h / 15.7 Watts

6 years ago

from the reaction equation ... each mole of H2O results in two moles of HNO3 (moles H2O) * 2 = (moles HNO3) ... ? * 2 = 4.5

6 years ago

looking for common (shared) factors in each of the terms 5 * a * (c + 2b - 5d)

6 years ago

500 mL of a 3 M solution contains 1.5 moles of solute volume = 1.5 moles / (4 mol/L)

6 years ago

the median is the average of the two bases [(5x - 9) + (x + 3)] / 2 = 2x + 2 6x - 6 = 4x + 4

6 years ago

the momentum of the bullet becomes the momentum of the block/bullet ... 0.05 * 1.32 = Vb * (1.2 + 0.05) find the initial energy (kinetic) of the block/bullet ... this is the energy that compresses the spring 1/2 m v^2 = 1/2 k x^2

6 years ago

the two strong acids fully dissociate divide the total moles of H+ by the total solution volume ... this is the concentration of H+ ... [H+] pH is the negative logarithm of [H+]

6 years ago

.050 L * .050 M = .0025 moles ... .150 L * .10 M = .015 moles ... total moles H+ ... .0175 total solution volume ... .050 L + .150 L = .20 L [H+] = .0175 moles / .20 L = ? pH = -1 * log[H+]

6 years ago

ways of picking two balls ... 12C2 ... 66 ... two black balls ... 3C2 ... 3 ... two green balls ... 4C2 ... 6 ... two yellow balls ... 5C2 ... 10 p(both same color) = (3 + 6 + 10) / 66 b) (3 + x) / (12 + x) = 1/2

6 years ago

6n + 30 ≥ 21

6 years ago

yes ... cos^2(Θ) = 1 - sin^2(Θ) 1 - sin^2(Θ) - 3 sin(Θ) - sin^2(Θ) = -2 2 sin^2(Θ) + 3 sin(Θ) - 3 = 0 ... solve the quadratic for sin(Θ) ... or factor

6 years ago

general circle equation ... (x - h)^2 + (y - k)^2 = r^2 ... circle centered at (h,k) with radius r use the distance formula to find the radius ... center to circumference

6 years ago

looks good

6 years ago

121 - (4 * 27)

6 years ago

the only type B among the parents is Mrs. Smith ... B is co-dominant with A type O is recessive ... so A could be AO , and B could be BO ... either set of parents MIGHT have had a type O offspring but only the Smiths could have a type B offspring ... Jane...

6 years ago

a) h = 0 when the ball lands ... 0 = -5 t^2 + 20 t ... solve for t b) is unintelligible

6 years ago

distance = rate * time ... when have they traveled the same distance? 60 * (t + 2) = 90 * t

6 years ago

(distance)^2 = 430^2 + 380^2

6 years ago

yes

6 years ago

2^161 ≈ 3E48 ... 3 x 10^48 a) no ... not enough digits on calculator b) 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , ... the units digit repeats in a pattern of four numbers ... 2, 4, 8, 6 dividing 161 by 4 leaves a remainder of 1 ... the 1st number in the repe...

6 years ago

2 = e^(.126 t) ln(2) = .126 t 5.501... , should round up

6 years ago

2 = e^(r * 20) ln(2) = 20 r

6 years ago

2 * (39 / 24)

6 years ago

doesn't specify arithmetic (or geometric) , but it comes out even d = (55 - 29) / (22 - 9) 1st term = 29 - (9 d) 60th term = 1st term + (59 d) sum = (1st term + 60th term) * (60 / 2)

6 years ago

m + d = 44 ... m = 44 - d (m - 3)(d - 3) = 192 ... substituting ...(41 - d)(d - 3) = 192 ... 41 d - d^2 -123 + 3 d = 192 ... d^2 - 44 d + 315 = 0 use the quadratic formula to find the ages

6 years ago

area = 1/2 x perimeter x apothem it's 6 isosceles triangles ... base = 13 ... height = 11.4

6 years ago

the relevant free fall equation is ... h = -16 t^2 + 72 t + 3 max height is on the axis of symmetry of the parabola (quadratic) ... tmax = -72 / (2 * -16) ... plug tmax back into the equation to find hmax the range is from the ground to hmax

6 years ago

(w + 80)(w + 120) = 2 * 80 * 120

6 years ago

initially 1/5 syrup (1 syrup to 4 water) ... 50 mL syrup i) A drinks 1/5 of the cordial (and 1/5 of the syrup) ... leaving 40 mL syrup ii) 40 mL syrup in 250 mL cordial ... 4/25 B) i) A drinks 1/5 of the cordial (and 1/5 of the syrup) ... leaving 32 mL sy...

6 years ago

the door ... to greet your parents

6 years ago

it appears that the sailboat is using sonar to locate the wreck

6 years ago

a function has a one-to-one relationship between input and output

6 years ago

the two drawings are independent events (they don't affect each other) p(r & r) = (8/18) * (10/13)

6 years ago

a unit of work or energy a force of one Newton acting through a distance of one meter

6 years ago

the 1st is correct ... so why isn't the 2nd?

6 years ago

yes

6 years ago

average velocity = (initial + final) / 2 = (120 + 0) / 2 = 60 m/s distance = velocity * time = 60 m/s * 0.01 s

6 years ago