Answer:
25/36
Step-by-step explanation:
put 2500 over 3600 and remove the 0's to simplify it
II. The following figure shows an infinite zigzag path with each zag
occurs at an angle of π/4. Find the total length of this infinite zigzag
path.
T/4
1
T/4/
I need help please, it would greatly appreciated!!
The length of the infinite zigzag path is 1
How to determine the length
Note that the infinite zigzag path is embedded in an isosceles triangle
Using angle π/4, we have that
Tan π/4 = opposite/ adjacent
[tex]tan \frac{3. 412}{4} = \frac{x}{1}[/tex]
[tex]tan 0. 7855 = x[/tex]
[tex]x = 0. 014[/tex]
To find the longer part 'y', use the Pythagorean theorem
[tex]y^{2} = (0.014)^2 + (1)^2[/tex]
[tex]y^2 = 1.879 * 10^-4 + 1[/tex]
[tex]y^2 = 1. 00[/tex]
[tex]y = \sqrt{1. 000}[/tex]
[tex]y = 1. 000[/tex]
The length of the infinite zigzag path is the same as the length of the longer part of the triangle which equals 1.
Thus, the length of the infinite zigzag path is 1
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Suppose your favorite coffee machine offers 13 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal distribution, with mean equal to 14 ounces and standard deviation equal to 0.56 ounces.
Answer:
2
Step-by-step explanation:
It takes 70 pounds of seed to completely plant an 8-acre field. How many acres can be planted per pound of seed?
No. of pounds of seed it takes to plant an 8-acre field = 70 pounds.
No. of acres can be planted per pound of seed = 70/8
= 8.75.
thus, 8.75 acres can be planted per pound of seed.
You are creating a table that you want to use to measure the temperature inside the arena. You have made a few mistakes.
Highlight the errors in the table below.
Answer + Step-by-step explanation:
Find the radius of this sphere. Then calculate the volume of a sphere
Answer:
Since we want to find radius and the diameter is 28 we will divide by two = ²⁸/2 which gives a radius of 14
since the radius is 14cm. we move on to the volume .
WE SUBSTITUTE
⁴/3× ²²/7× 14 equals 58.2cm²
therefore radius; 14cm
volume; 58.2cm
A. Find the slope of the lines through the pairs of points, (1,-8) and (1,-9) the slope is m=
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: slope = not \:\: defined [/tex]
with closest value = [tex] \sf{\infin} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: slope = \cfrac{rise}{run}[/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ - 8 - ( - 9)}{1 - 1} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ - 8 + 9}{0} [/tex]
[tex]\qquad \tt \rightarrow \: m \: \: is \: \: not \: \: defined[/tex]
[ Any real number divided by 0 is not defined ]
You can also assume it's closest value if possible, that is infinity ([tex]\sf{\infin}[/tex])
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
-0.38 written as a fraction is
At a certain time of day, the angle of elevation of the sun is 80degree. Find the height of a tree whose shadow is 44 feet long.
The height of the tree is 249.5 feet
How to determine the height of the tree?The given parameters are:
Elevation angle = 80 degreesShadow length (L) = 44 feetLet the height of the tree be x.
So, we have:
tan(80) = x/44
Multiply both sides by 44
x = 44 * tan(80)
Evaluate
x = 249.5
Hence, the height of the tree is 249.5 feet
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Which expression is equivalent to 36x² - 25?
O (18x)²+(-5)²
O (18x)²-(5)²
O (6x)²+(-5)²
O (6x)²-(5)²
Answer:
[tex] \boxed{ \rm(6x)²-(5)²}[/tex]
Step-by-step explanation:
Given expression/polynomial :
[tex]3 6{x}^{2} - 25[/tex]
Let's evaluate.
We can re-write the polynomial as
[tex]6 {}^{2} x {}^{2} - 5 {}^{2} [/tex]Further
[tex]{(6x) {}^{2} - 5 {}^{2} }[/tex]Hence, the expression is equivalent to last Choice, (6x)²-(5)².
-Regards, Hannah :)
10, 18 y 36 hallar el m.c.m por descomposición simultanea:
Considerando la definición de mínimo común múltiplo, el mínimo común múltiplo entre 10, 18 y 36 es 180.
Mínimo común múltiploUn número es múltiplo de otro cuando lo contiene n veces de forma exacta. Es decir, los múltiplos de un número son aquellos que obtienes cuando multiplicas un número por otros.
El mínimo común múltiplo (mcm) es la cifra más pequeña que satisface la condición de ser múltiplo de todos los elementos de un conjunto de números. En otras palabras, el mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números.
Una forma de calcular el mcm es descomponiendo los números en sus divisores (número que está contenido en otro de forma exacta una cantidad n de veces) y que estos sean números primos (que solo pueden dividirse entre ellos mismos y el 1 para obtener un número entero). Es decir, se debe descomponer en factores primos cada número.
Luego, se debe seleccionar los factores primos comunes y no comunes con mayor exponente para finalmente multiplicar los factores primos seleccionados.
M.C.M en este casoEn primer lugar, se descomponen los números:
10= 2×518=2×3×3= 2×3²36=2×2×3×3= 2²×3²Los factores primos comunes y no comunes con mayor exponente:
2²3²5Entonces, el mínimo común múltiplo entre 10, 18 y 36 es calculada como:
M.C.M(10,18,36)= 2²×3²×5= 2×2×3×3×5= 180
Finalmente, el mínimo común múltiplo entre 10, 18 y 36 es 180.
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Instructions: Write the equation of the line in Point-Slope Form
given the information below. Use Point One.
Point One (-3, 3)
=
Point Two (-2,-1)
Point-Slope
=
Point-Slope Form:
Answer: [tex]y-3=-4(x+3)[/tex]
Step-by-step explanation:
The slope is
[tex]\frac{-1-3}{-2-(-3)}=\frac{-4}{1}=-4[/tex]
So, using the point (-3, 3) to substitute into point-slope form, the equation is [tex]\boxed{y-3=-4(x+3)}[/tex]
Sarah and her friends split a bag of candy evenly. They each ate 13 pieces of candy and there are 2 pieces leftover. How many pieces of candy were originally in the bag?
Answer:
54
Step-by-step explanation:
⇒ 1 + 3 = 4
⇒ 4 * 13 = 52
⇒ 52 + 2 = 54 (Basic Operation)
Solve: 2v+15=3w for w.
Answer:
w= 2v/3 plus 5
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
If Yang solves the inequality -4y> -40, then which of the following answers would be true for this claim?
Answer:
(a) 9, 8, 7, 6, 5, ...
Step-by-step explanation:
The solution to the inequality can be done a couple of ways. The solution is similar to that for a one-step linear equation.
__
reverse inequalityWe know that multiplying numbers by a negative value reverses their order. For example, 1 < 2, but -1 > -2. That is, multiplying by -1 requires a change in the comparison operator if it is to remain true.
For our inequality, we want to solve it by multiplying both sides by -1/4:
-4y > -40
(-1/4)(-4y) < (-1/4)(-40) . . . . . multiply both sides by -1/4 (reverses order)
y < 10 . . . . . . . . . . . simplify
The first few decreasing integer values that are part of this solution are ...
{9, 8, 7, 6, 5, ...}
__
make coefficients positiveWe can add 4y+40 to both sides of the inequality. The result will be an inequality with positive coefficients. This can be solved in one step.
-4y > -40 . . . . . given
(-4y) +(4y +40) > (-40) +(4y +40) . . . . . . add 4y+40 to both sides
40 > 4y . . . . . . . . . . . . . . . simplify
10 > y . . . . . . . . . . . . divide by 10 (order is unchanged)
y < 10 . . . . . . . . . rearrange to put y on the left
Integer solutions to this inequality are ...
{9, 8, 7, 6, 5, ...}
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
The subpopulations of mechanical and civil engineers are not earning different salaries.
Difference in average salaryIf a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant.
This assertion simply means that average salaries of the mechanical and civil engineers are not different.
Thus, the subpopulations of mechanical and civil engineers are not earning different salaries.
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You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 1.5 percentage points of the true population percentage. Complete parts (a) and (b) below. Assume that nothing is known about the percentage of passengers who prefer aisle seats.
Using the z-distribution, it is found that 3,007 passengers must be surveyed.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
In this problem, we desired a margin of error of M = 0.015, with no prior estimate, hence [tex]\pi = 0.5[/tex], then we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.015 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.015\sqrt{n} = 1.645(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.645(0.5)}{0.015}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.015}\right)^2[/tex]
n = 3007.
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Find the average rate of change of the function on the interval specified.
g(x) = 7x3 − 4
on
[−3, 3]
The average rate of change of the function will be 63.
The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.
The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)
Here given function is g(x) = 7x³-4
which is defined in the interval [-3,3].
So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))
= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))
= {(189-4)-(-189-4)}/(3+3)
= (185-(-193))/6
= (185+193)/6
= 378/6
= 63
Therefore the average rate of change of the function will be 63.
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What is 60 percent of 92?
•
1.53
•
5.52
•
15.3
O 55.2
49:03 mins pls help me with this
60 percent of 92 is 55.2
How to determine the percentage?The statement is given as:
60 percent of 92
This means:
60% of 92
Express of as *
60% * 92
Evaluate the product
55.2
Hence, 60 percent of 92 is 55.2
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please answer just look at how many points i will give
Answer:
(6,2)
Step-by-step explanation:
When solving a system of simultaneous equations, we want to see where the graphs intersect.
2x+5y =22 is the red line
x+y = 8 is the green line
They intersect at a point
The point is x=6 y=2
(6,2)
If you have 100 apples and you take 30 how many do you have?
Answer:
70 (100-30)
Rambling (Unrelated):
Although if you take 30 apples from your own stockpile of 100 apples, you still have 100 apples
100 apples
A Cepheid star is a type of variable star, which means that its brightness is not constant.
The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by
M = − 2.78 (log P) − 1.35,
where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle.
Use a calculator to solve each problem. Round your answers to the nearest hundredth.
What is the absolute magnitude of a star that has a period of 62 days?
A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by
M = − 2.78 (log P) − 1.35,
Given the absolute magnitude of a star that has a period of 62 days is,
M = − 2.78 (log 62) − 1.35
M = -6.3328
Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.
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Given: m∡MXY = m∡KXY
What is the conclusion reached by this proof?
Answer:
b
Step-by-step explanation:
just took it
Answer:
B. m∠JXY = m∠NXY
Step-by-step explanation:
I got the answer correct
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
1. Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50)
2. Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50)
The margin of error will be 20 and 10 respectively.
How to calculate the margin of error?The margin of error for Robert will be:
= 1.96 × 50/✓25
= 1.96 × (50/5)
= 1.96 × 10
= 20 approximately
The margin of error for Val will be:
= 1.96 × 50/✓100
= 1.96 × 50/10
= 1.96 × 5
= 10 approximately
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6. What is the cube of 8?
A. 64
B. 2
C. 512
D. 24
Answer : C. 512
step-by-step explanation :
8 8(square) = 8² = 8 × 8= 64 8(cube) = 8³ = 8 × 8 × 8 = 64 × 8 512
[tex]\qquad\qquad\qquad\boxed{\bf\:\: \: (c) \: 512}[/tex]
[tex] \purple{\bold{\underline{\underline{ Cube \: of \: 8 \: is = 512:}}}}[/tex]
[tex]\red{\bold{\underline{\underline{so \: option \:( c ) \: is \: correct \: \: :}}}}[/tex]
[tex]\orange{\bold{\underline{\underline{ more \: additional \: information \: :}}}}[/tex]
if a number is multi by by itself 3 then the obtained number is called cube.the cube of a natural number is that given number raised to the power 3PROPERTIES -: cube of all even natural number is always even.cubes of all odd natural number are odd.the cube of natural number ending a zero has 3 on it.the cube of the natural number ending with one was one is it unit digitcube of negative number always negative.To find Cubes -:
direct methodalternate methodcolum methodTo find Cube Root -:
prime factorizationsuccessive subtraction method.estimation methodExplain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents.
Rational exponents are beneficial in removing the root over or radicals
Let's check the rule
n√a=a^{1/n}Take an example
⁵√3²(3²)⅕3⅖PLEASE ANSWER THIS AS FAST AS POSSIBLE!
The steps a student took to solve an equation are shown below.
3/4 (-8x+20)= -8(-x-3)
STEP 1: -6x+15=8x+24
STEP 2: 15=2x+24
STEP 3: -9=2x
STEP 4: x= -9/2
What error did the student make? PLEASE EXPLAIN THE ANSWER
What is the correct value of x?
PLEASE SHOW WORK!
Between Steps 1 and 2, the student added 6x to the left hand side, but subtracted 6x from the right hand side.
Find the basis of the null space of A.
Answer:
[tex]\left[\begin{array}{cccc}-1\\1\\1\\0\end{array}\right][/tex], [tex]\left[\begin{array}{cccc}0\\2\\0\\1\end{array}\right][/tex] Are two vectors which are basis of null space of A
Step-by-step explanation:
Basis of a null space is a vector matrix which when multiplied by the reduced echelon form of the matrix gives null matrix or 0 matrix
So, to find the reduced echelon form we apply the row operations :
R₁ = R₁/2
[tex]\left[\begin{array}{cccc}1&-2&3&4\\2&-1&3&2\\4&-5&9&10\\0&-1&1&2\end{array}\right][/tex]
R₂ = R₂ - 2R₁
[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&3&-3&-6\\4&-5&9&10\\0&-1&1&2\end{array}\right][/tex]
R₃ = R₃ - 4R₁
[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&3&-3&-6\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]
R₂ = R₂/3
[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&1&-1&-2\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]
R₁ = R₁ + 2R₂
[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]
R₃ = R₃ - 3R₂
[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&-1&1&2\end{array}\right][/tex]
R₄ = R₄ + R₂
[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&0&0&0\end{array}\right][/tex]
which is a reduced echelon form of the matrix A
now ,
[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&0&0&0\end{array}\right][/tex] [tex]\left[\begin{array}{cccc}x1\\x2\\x3\\x4\end{array}\right][/tex] [tex]=\left[\begin{array}{cccc}0\\0\\0\\0\end{array}\right][/tex]
therefore,
x₁ + x₃ = 0
x₁ = -x₃
x₂ - x₃ - 2x₄ = 0
x₂ = x₃ + 2x₄
so now replacing values of x₁ , x₂ in the vector matrix
[tex]\left[\begin{array}{cccc}-x3\\x3 + 2x4\\x3\\x4\end{array}\right][/tex]
we can write the above matrix as,
[tex]x3\left[\begin{array}{cccc}-1\\1\\1\\0\end{array}\right][/tex] [tex]+ x4\left[\begin{array}{cccc}0\\2\\0\\1\end{array}\right][/tex]
therefore we can say that above mentioned vector matrices are the basis of the null space of matrix A
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You toss a coin and roll a number cube. The table shows the sample space,
where H means heads, T means tails, and the numbers represent the number
cube roll.
H
T
1
H1
T1
2
H2
T2
3
H3
T3
4
H4
T4
5
H5
T5
6
H6
T6
What is the probability of tossing heads and rolling a number less than 3?
Probability helps us to know the chances of an event occurring. The probability of tossing heads and rolling a number less than 3 is 1/6.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of cases where coins land on heads and a number less than 3 are rolled is 2, which are H1 and H2.
The probability of tossing heads and rolling a number less than 3 is,
Probability = (Outcomes where coins land on heads and a number less than 3 are rolled)/(Total number of cases)
Probability = 2/12 = 1/6
Hence, the probability of tossing heads and rolling a number less than 3 is 1/6.
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Two vertical angles are complementary. Statement is always, sometimes, or never true. Explain your reasoning
Answer:
depends upon the degree of the angle
Step-by-step explanation:
vertically opposite angles are always equal like
80 = 80 sum is equal to 160 degrees not equal to 90
45 = 45 , sums equal to 90 degrees ,equal to 90
30 = 30 sum is equal to 60 degrees, not equal to 90
so we can say it depends what is the no of degrees if it is 45 only we can say the vertically opposite angles are complementary angle
Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s power?
Answer:
[tex]1.3\cdot 10^3\text{ J}[/tex]
Step-by-step explanation:
Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:
[tex]W=Fd[/tex], where F = force applied and d = distance that force is applied over.
*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.
In this case, the force applied must counter the force of gravity on Martha, which is given by [tex]F_g=mg[/tex], where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, [tex]F_g=75\cdot 9.8=735\text{ N}[/tex]. Since she raises her body 4.0 meters, the work done must be [tex]W=Fd=735\cdot 4=2940\text{ J}[/tex].
Since power is equal to work over time and t = 2.3 seconds, we have:
[tex]\displaystyle P=\frac{W}{t}=\frac{2940}{2.3}=\boxed{1278\text{ J}}\approx \boxed{1.3\cdot 10^3\text{ J}}[/tex] (to two significant figures)
