Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³
D = mV=99.7g22.1cm³ = 4.51 g/cm³
Step-by-step explanation:
d = mV
m = d×V
V = md
DENSITY
Density is defined as mass per unit volume.
d = mV
Example:
A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?
Step 1: Calculate the volume
V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³
Step 2: Calculate the density
d = mV = 433g200cm³ = 2.16 g/cm³
MASS
d = mV
We can rearrange this to get the expression for the mass.
m = d×V
Example:
If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?
m = d×V = 500 mL × 1.11g1mL = 555 g
VOLUME
d = mV
We can rearrange this to get the expression for the volume.
V = md
Example:
What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.
Step 1: Convert kilograms to grams.
14.83 kg × 1000g1kg = 14 830 g
Step 2: Calculate the volume.
V = md = 14 830 g × 1cm³19.32g = 767.6 cm³
A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on the control chart, so that the probability of a single point plotting outside the control limits when the process is in control is 0.0027. Suppose that this chart is being used in phase I and the averages from a set of m samples or subgroups from this process are plotted on this chart. What is the probability that at least one of the averages will plot outside the control limits when m = 5? Repeat these calculations for the cases where m = 10, m = 20, m = 30, and m = 50.
Required:
Discuss the results that you have obtained.
Answer:
The solution to the issue is outlined in the following portion of the summary.
Step-by-step explanation:
The given value is:
p = 0.0027
When m = 5,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 5C0 (0.0027)^0 (1 - 0.0027)^5[/tex]
[tex]= 1 - 0.9866[/tex]
[tex]=0.0134[/tex]
When m = 10,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 10C0 (0.0027)^0 (1 - 0.0027)^{10}[/tex]
[tex]=1 - 0.9733[/tex]
[tex]= 0.0267[/tex]
When m = 20,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 20C0 (0.0027)^0 (1 - 0.0027)^{20}[/tex]
[tex]=1 - 0.9474[/tex]
[tex]=0.0526[/tex]
When m = 30,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 30C0 (0.0027)^0 (1 - 0.0027)^{30}[/tex]
[tex]=1 - 0.9221[/tex]
[tex]=0.0779[/tex]
When m = 50,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]= 1 - 50C0 (0.0027)^0 (1 - 0.0027)^{50}[/tex]
[tex]= 1 - 0.8736[/tex]
[tex]=0.1264[/tex]
HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
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Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R^5? Why?
a. The matrix must have nothing pivot columns. If A had fewer pivot columns, then the equation A would have only the trivial solution.
b. The matrix must have nothing pivot columns. The statements "A has a pivot position in every row" and "the columns of A span " are logically equivalent.
c. The matrix must have nothing pivot columns. Otherwise, the equation A would have a free variable, in which case the columns of A would not span .
d. The columns of a 57 matrix cannot span because having more columns than rows makes the columns of the matrix dependent
Answer:
The answer is "Option B".
Step-by-step explanation:
In the given choices there is some mistake so, the correct choice can be defined in the attached file. please find it.
In the given question, If the column of [tex]5 \times 7[/tex] matrix, and the A span is equal to [tex]R^5[/tex], and then the value of A has a pivot in each row, that's why in each pivot its position in the different columns of A has the five pivot columns, that's why the choice B is correct.
What is the quotient of 1 1/4 divided by 21 1/4
Answer:
quotient of 11/4 to be divided by 21 /1/4
gives you 7/8/11
multiply. Express your answer in the simplest form
mental math again 60x40x2
Answer:
the answer is 4800
Answer:
What is mental math?
Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?
It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.
Is mental math useful?
Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.
Step-by-step explanation:
What is 0.8 as a fraction???? Plz answer is u r right I’ll give u brainliest!!!!
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Answer:
the answer is 4/5
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 10. then reduce the
fraction.
Find the mean of these numbers:
2,57, 38, 42,6
Answer:no
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
add all of those numbers and divide it by the value of how many numbers there are in total.
Choose Yes or No to indicate whether the statement is correct.
5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 42 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No
Answer:
Step-by-step explanation:
5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 8,793 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No
The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill.
A scientist is measuring the temperature change in a chemical compound. The temperature dropped 11 degrees Fahrenheit per hour from the original temperature. After 4 hours, the temperature was 90 Degree Fahrenheit. Find the compound’s original temperature.
Answer:
4 * 11 = 44 --> 44+ 90 = 134
Step-by-step explanation:
Multiply. Write your answer as a fraction in simplest form.
3
6x
22
Please help and by the way the question is 6 x 3 over 22 (fraction)
Answer:
9/11
Step-by-step explanation:
(6 × 3)/22
18/22 = 9/11
can someone answer plzzzz
Answer:
6,882,000 miles
Step-by-step explanation:
Pls help me I will give Brainlyest
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the
total, how much should she pay?
O $20.35
O $26.40
O $28.80
O $33.60
Answer:
C
Step-by-step explanation:
$28.80
Answer:
c
Step-by-step explanation:
If the width of a rectangle is 3x+2 and the length is 2(x+4) what is the value of x
Answer:
Step-by-step explanation:
Pythagoras and True Love
SRB
155 239
Pythagoras is a "Mr. Lonelyhearts" columnist for a popular newspaper. He recently
received the following letters. How would you solve these lovebirds' problems?
15a6=c
c=24.4
1. Dear Pythagoras: My girlfriend Roma and I want to elope. But we have a
problem. She lives in a third-floor apartment. There is a 14-foot-wide moat
around the apartment, and Roma's window is 20 feet above the moat. If I
throw a rope up to Roma, she could slide down it and escape. How long a
rope should I buy?
Longingly, Jules
149+
142.c
796=02
Let us find the length of rope Jules will need using the pythagoras theorem .
Width of the moat ( let the moat be the base of this triangle ) = 14 foot
Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet
Then the length of rope needed ( hypotenuse ) =
= Let us name the triangle that is formed as △ ABC . Then ;
In △ ABC :
AB = the width of moat ( leg of triangle ) = 14 foot
BC = The distance from the window to the moat ( base ) = 20 feet
AC = Length of rope needed ( hypotenuse ) =
= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 14² + 20² = AC²
= 196 + 400 = AC²
= 596 = AC²
= 24 × 24 = AC × AC
= 24 foot = AC = length of rope needed by jules .
Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .
A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.
Answer:
$930.76
Step-by-step explanation:
So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.
Order the following
rational numbers from least
to greatest
-3/4, 2.5, 0, -0.80, 5/3
Answer:
-0.80, -3/4, 0, 5/3, 2.5
Step-by-step explanation:
A homogeneous 1300 kg bar AB is supported at either end by a cable. calculate the stress acting in bronze bar in N/mm² if stress should not exceed to 120MPa for steel and the area of the bronze bar and steel bar is 40.05 mm² and 36.33 mm² respectively.
Answer:
4553332 is the answer
Step-by-step explanation:
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
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Im dumb help its for a math asighnme t i keep gettinh wrong ignore my spelling this
Laggy
Answer:
B
Step-by-step explanation:
40-30= 10
10/40 = 1/4 or 25%.
can you please help me
Answer:
14
Step-by-step explanation:
because they are just reflected that's why 12 and 8 are flipped and have a great day
Started at 20° and dropped 4° each minute
Answer:
hey mate I couldn't understand ur question.......plz recheck....
Answer:
What's the rest of the question?
Step-by-step explanation:
In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x+15)*23-(24)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3 • (x + 15) • 23) - 24 = 0
STEP
2
:
Equation at the end of step 2
69 • (x + 15) - 24 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
69x + 1011 = 3 • (23x + 337)
Equation at the end of step
4
:
3 • (23x + 337) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 23x+337 = 0
Subtract 337 from both sides of the equation :
23x = -337
Divide both sides of the equation by 23:
x = -337/23 = -14.652
Step-by-step explanation:
bruh please, i beg...........................
Answer:
the answer is B
Step-by-step explanation:
Answer:
B, y = (x+2)^2+3
Step-by-step explanation:
Hi adenpetkowski, well to solve this problem we need to find the equation, so since a vertical parabola have equation of y = a(x-h)^(2)+k, where (h, k) is the vertex, we can use this formula to find the equation for the parabola, so since the vertex is (-2, 3) assuming it's lattice points, the formula now is y = a(x+2)^2+3, next, we can find a by taking a point from the parabola, say, (-1, 4). We then substitute the y and x to find that 4=a(1)^2+3, and we can find that a = 1. so the Formula is y=(x+2)^2+3. B
Answer all parts please.
Answer:
no
Step-by-step explanation:
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Plz help
6y+2(y+1)
Distributive Property and Fractions
6y^2 + 6y + 2y + 2 = 6y^2 + 8y + 2
The way you do this is basically multiplying the values in the brackets with 6y, and then adding that to the same values multiplied by 2.
Give 3 names for x intercepts of a quadrants equation
Answer:
Zeros
Roots
Solution (Set)
Step-by-step explanation:
As you can tell there are a handful of different names!
David has 574 cereal bars that he wants to fit in bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number bags of 10. How many bags of 8 and 10 can david pack the cereal bar into
Answer: lol have the same question
Step-by-step explanation:
Please help! Thank you
Answer:
-294
Step-by-step explanation: