Fraction form?
Answer:
86,585 \(\frac{15}{41}\)
Step-by-step explanation:
\(10^{6}\) = 1,000,000
\(10^{1}\) = 10
~~~~~~~~~~~~~~~~~~~~~~~~~
7.1 * 1,000,000 = 7,100,000
8.2 * 10 = 82
~~~~~~~~~~~~~~~~~~~~~~~~~
7,100,000/82 or \(\frac{7,100,000}{82}\) or 86,585 \(\frac{15}{41}\)
~~~~~~~~~~~~~~~~~~~~~~~~~
P.S. I'm pretty sure this answer is late.
What is a positive times a negative
Answer:When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.
Step-by-step explanation:
Answer:It is negative + x - = -
Step-by-step explanation:
Unit Test Review
Active
1
leto
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
COS
Which expression represents the possible values of n,
in feet? Express your answer in simplest terms.
x-1
n = 3x + 5
O n = 1 - 1
O 3x + 5
Answer:
x - 1 < n < 3x + 5
Step-by-step explanation:
If you have two sides of a triangle, the length of the third side is at least the difference between the other two sides, and at most the sum of the other two sides.
(512)763-5807 my number
Answer:
im sorry what?
Step-by-step explanation:
i
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
a car crosses a bridge 400 m long at 80km/h. how long does it take to cross the bridge
Answer:
18 seconds
Step-by-step explanation:
convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.
Hopefully this helps! Let me know if you have any questions!
the size of a sample designed for dual-purpose testing should be
The size of a sample designed for dual-purpose testing should be determined based on several factors, including the specific objectives of the testing, the desired level of confidence, the acceptable margin of error, and the variability of the population being tested.
Dual-purpose testing typically involves testing for multiple purposes or criteria simultaneously, such as both quality control and compliance assessment.
In such cases, it is important to consider the requirements and constraints of each purpose and determine an appropriate sample size that satisfies both objectives.
To determine the sample size, statistical techniques can be used, such as power analysis or sample size calculation formulas.
These methods take into account the significance level, desired power, effect size, and variability of the variables under consideration. The specific formulas or approaches used may vary depending on the nature of the data and the statistical test being performed.
It is essential to strike a balance between the sample size and the resources available for testing.
A larger sample size generally provides more precise results but may require more time, effort, and resources. Conversely, a smaller sample size may be more practical but could result in less precise estimates.
Ultimately, the appropriate sample size for dual-purpose testing should be determined through careful consideration of the specific objectives, statistical requirements, available resources, and the trade-off between precision and practicality.
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7 - 2x = 11
What is the value of x? Show your working.
Answer: x = - 4
Step-by-step explanation:
7-2x=1
PEMDAS
so add 7 to both sides
-2x=8
divide by -2 from both sides
x=-4
Answer:
x = -2
Step-by-step explanation:
Let's find the required value of x,
→ 7 - 2x = 11
→ -2x = 11 - 7
→ -2x = 4
→ x = -4/2
→ [ x = -2 ]
Therefore, the value of x is -2.
Foster makes sandwiches at a deli. There are 8 1/2 (eight and one half) pounds of turkey at the deli. How many 1/4 (one fourth)pound turkey sandwiches can he make?
foster can make 42 1/4-pound turkey sandwiches
explanation: 10.5 divided by 1/4 is 42
Part A: The area of a square is (16a² - 24a + 9) square units. Determine the length of each side of the square by factoring the area expression completely Show your work
Part B: The area of a rectangle is (9a² - 25b²) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
A:
16a^2-24a+9
16a^2-12a-12a+9
4a(4a-3)-3(4a-3)
(4a-3)(4a-3)
(4a-3)^2
(4a-3)^2
B: Use difference of squares method
(3a+5b)(3a−5b)
Part A: The length of each side of the square is (4a - 3) units.
Part B: The dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
Part A:
The area of a square is given by the formula A = s^2, where "s" is the length of each side of the square. In this case, the area is (16a² - 24a + 9) square units.
To determine the length of each side of the square, we need to factor the area expression completely and set it equal to (s^2).
The area expression is a quadratic trinomial: 16a² - 24a + 9.
To factor the trinomial, we look for two binomials that, when multiplied together, give us the original trinomial. The binomials will have the form: (ma ± b)(na ± c).
To factor 16a² - 24a + 9, we look for two numbers whose product is 16 * 9 = 144, and whose sum is -24 (the middle coefficient).
The two numbers are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.
Now, rewrite the middle term (-24a) using -12a - 12a:
16a² - 12a - 12a + 9
Group the terms and factor by grouping:
(16a² - 12a) - (12a - 9)
Now, factor out the greatest common factor (GCF) from each group:
4a(4a - 3) - 3(4a - 3)
Now, notice that we have a common binomial factor of (4a - 3):
(4a - 3)(4a - 3)
Since both binomials are the same, we can rewrite it as (4a - 3)^2.
Now, set (4a - 3)^2 equal to (s^2):
(4a - 3)^2 = s^2
To find the length of each side (s), take the square root of both sides:
√((4a - 3)^2) = √(s^2)
4a - 3 = s
Therefore, the length of each side of the square is (4a - 3) units.
Part B:
The area of a rectangle is given by the formula A = length * width. In this case, the area is (9a² - 25b²) square units.
To determine the dimensions of the rectangle, we need to factor the area expression completely and identify the length and width.
The area expression is a difference of squares: 9a² - 25b².
To factor a difference of squares, we use the formula: a² - b² = (a + b)(a - b).
In this case, a = 3a and b = 5b:
9a² - 25b² = (3a + 5b)(3a - 5b)
Therefore, the dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
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HELP ASAP I WILL MARK YOU BRAINLEAST
You roll a die ten times and get a six four of those times. What is the experimental probability of rolling a six?
PLS ANSWER CORRECTLY
Answer:
1/3 is the experimental probability of rolling 6
Explanation:
Given, a die roll 10 times in which we get 6 three times. Total no. of possible outcomes = 10 and number of favorable outcomes = 3
Therefore, the probability of getting 6 = 1/3.
Evaluate the expression for the given value of the variable. 1/3x+5 x=−6
Given: \(\frac{1}{3}x + 5x = -6\)
To find: x = ?
Solution:
\(\frac{1}{3}x + 5x = -6\\ \\\frac{x+15x}{3} = -6\\\\\ 16x = -18\\\\x= \frac{-18}{16}\\ \\x = \frac{9}{8} \\\\x = 1.125\)
Determine the midpoint of the line segment whose endpoints are (12, 8) and (−8, −6).
Write your answer as an ordered pair.
Answer:
(2, 1)Step-by-step explanation:
Given points
(12, 8) and (−8, −6)Midpoint is
((12 - 8)/2, (8 - 6)/2) =(4/2, 2/2) =(2, 1)I NEED HELPPPPPP!!!!
√−100 =___+___i
Answer:
0+10i
Step-by-step explanation:
sqrt(-100)
sqrt(-1) * sqrt(100)
The sqrt(-1) = i
i ( 10)
There is no real component and the imaginary part is 10
0 + 10i
x-2y = 10
x + 3y = 5
Using elimination method
Answer:
The solution to the system of equations be:
(x, y) = (8, -1)Step-by-step explanation:
Given the system of equations
\(x-2y = 10\)
x + 3y = 5
Solving the system of equations using the elimination method
\(\begin{bmatrix}x-2y=10\\ x+3y=5\end{bmatrix}\)
subtracting the equations
\(x+3y=5\)
\(-\)
\(\underline{x-2y=10}\)
\(5y=-5\)
solving 5y = -5 for y
\(5y=-5\)
Divide both sides by 5
\(\frac{5y}{5}=\frac{-5}{5}\)
Simplify
\(y=-1\)
For x - 2y = 10 plug in y = -1
\(x-2\left(-1\right)=10\)
Apply rule -a(-a) = a
\(x+2\cdot \:1=10\)
Multiply the numbers: \(2\cdot \:1=2\)
\(x+2=10\)
subtract 2 from both sides
\(x+2-2=10-2\)
Simplify
\(x=8\)
Therefore, the solution to the system of equations be:
(x, y) = (8, -1)The graph of the solution to the system of equations is also attached below.
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
Length of one of the shorter congruent side is: 6 cm
Step-by-step explanation:
In order to find the length of congruent sides we have to solve the system of equations
Given systems of equation is:
y = x + 2
2x + 3y = 36
Putting y = x+2 in second equation
\(2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6\)
As we know that x represents the shorter side, the length of short side is: 6 cm
Hence,
Length of one of the shorter congruent side is: 6 cm
What is the of U {1, 3, 6, 9) and (-1, 0, 6}?
And the bottom one
Answer:
first one will be 6 second one will be 0
If it's union the it will be 0 3 5 -5 -3 for the second one
and first one will be 1 3 6 9 -3 0
et (Xn)n≥1 be a sequence of independent Bernoulli random variables with success probability p. Denote by S₁ the number of failures until the first success, by S₂ the number of failures between the first and second sucess, and, in general, by Sk the number of failures between the (k-1)th and the kth success. (a) Compute the joint probability mass function of S₁,..., Sn. (b) Are the random variables S₁,..., Sn independent? Prove or disprove. (c) Compute the cdf of U = max {S₁,..., Sn}.
The value of CDF at U = max {S₁,..., Sn} is \((1 - (1-p)^u+1)^n\).
We are given that;
The number of failures is between = (k-1)th and the kth success.
Now,
(a) The random variables S₁, S₂, ..., Sn are geometrically distributed with parameter p. The joint probability mass function of S₁,..., Sn is given by:
\(P(S_1 = k_1, S_2= k_2, ..., Sn = kn) = (1-p)^(k_1 + k_2+ ... + kn) * p^n\)
(b) The random variables S₁,..., Sn are independent. This can be shown by considering the definition of independence. Two random variables X and Y are independent if and only if P(X = x, Y = y) = P(X = x)P(Y = y) for all x and y. In our case, we have:
\(P(S_1 = k_1, S_2 = k_2, ..., Sn = kn) = (1-p)^(k_1 + k_2 + ... + kn) * p^n= (1-p)^k_1 * p * (1-p)^k_2 * p * ... * (1-p)^kn * p= P(S_1 = k_1)P(S_2 = k_2)...P(Sn = kn)\)
Therefore, the random variables S₁,..., Sn are independent.
(c) The cdf of U = max {S₁,..., Sn} is given by:
P(U ≤ u) = P(S₁ ≤ u, S₂ ≤ u, ..., Sn ≤ u)= P(S₁ ≤ u)P(S₂ ≤ u)...P(Sn ≤ u)
= \((1 - (1-p)^u+1)^n\).
Therefore, by the sequence the answer will be \((1 - (1-p)^u+1)^n\).
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The original price for a piece of machinery is $150,000. If the piece of machinerydecreases in value by 22.5% each year, which graph models the value of the piece of machinery after x years?
The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.
The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.
To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:
y = \(a(1 - r)^x\)
Where:
- y represents the value after x years.
- a represents the initial value.
- r represents the decay rate (expressed as a decimal).
In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.
Therefore, the equation representing the value of the piece of machinery after x years would be:
y = \(\$150,000 * (1 - 0.225)^x\)
Simplifying the equation further, we have:
y = \(\$150,000 * (0.775)^x\)
From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.
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What value of w makes 19 – (–10) = w a true sentence?
what is the circumference of a 36 inch diameter circle
The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.
The circumference of a circle can be found using the formula: C = πd, where C represents the circumference and d represents the diameter. In this case, the given diameter is 36 inches.
Using the value of π (pi) as approximately 3.14159, we can substitute the values into the formula:
C = πd
C = 3.14159 * 36
C ≈ 113.09724
Rounding to the nearest tenth, the circumference of the 36-inch diameter circle is approximately 113.1 inches.
The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.
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can someone help me please
Answer:
\(15t > 180\)
Step-by-step explanation:
the girl is selling tickets for dollars 15 and she wants to raise more than dollars 180. that means we need a symbol that will make it so that $180 is always less than. like such.
\(180 < y \\ y > 180\)
it shouldn't be less than or equal to symbol because she wanted to save more than $180. that means we can't use this expression.
\(15 + t \geqslant 180 \\ 15t \geqslant 180\)
and we can't use this expression either
\(15 + t > 180\)
let's say if we had somebody by one ticket then that would mean we would add 1 to 15 which will equal 16 and so forth.
\(15 + 1 = 16 \\ 15 + 2 = 17 \\ 15 + 3 = 18\)
etc....
if each one of her tickets cost $15 and t is equal to the amount of tickets sold then we should multiply the operation so that we have groups of 15. like such.
\(15 \times 1 = 15 \\ 15 \times 2 = 30 \\ 15 \times 3 = 45 \\ 15 \times 4 = 60\)
etc....
this means the expression she wants to use is
\(15t > 180\)
if you want more help you can ask me and I will try to answer your questions.
.
solve each system by substitution 5x+4y=-16 y= 2x+9 what is the anwser
x=-20/13 and y=77/13 are solutions of 5x+4y=-16 and y= 2x+9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The two equations are
5x+4y=-16 ...(1)
Five x plus 4 y equal to minus sixteen.
y= 2x+9 ...(2)
y equal to two times of x plus nine.
Substitute 2 in 1.
5x+4y=-16
5x+4(2x+9)=-16
5x+8x+36=16
13x+36-16=0
13x+20=0
13x=-20
x=-20/13=-1.53
substitute the value of x in y.
y=2(-20/13)+9
y=(-40+117)/13
y=77/13
Hence the value of x is -20/13 and y value is 77/13.
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a surveyor took some measurements of a piece of land. the owner needs to know the area of the land to determine the value. what is the area of the piece of land?
The area of the piece of land is 849 ft².
The area of the piece of land
=22 x 30 x \(\frac{1}{2}\) x 2 + (30-12) x 21 x \(\frac{1}{2}\)
=660 + 18 × 21×\(\frac{1}{2}\)
=660 + 189
=849 ft²
The area is the amount that expresses the volume of a place on the plane or on a curved surface. The location of an aircraft region or aircraft place refers back to the area of a shape or planar lamina, at the same time as floor region refers to the location of an open floor or the boundary of a three-dimensional object. the area may be understood as the amount of fabric with a given thickness that could be essential to style a model of the shape, or the amount of paint vital to cowl the surface with a single coat. it's miles the 2-dimensional analog of the length of a curve (a one-dimensional concept) or the extent of a strong (a three-dimensional concept).
The place of a shape can be measured by way of evaluating the form to squares of a hard and fast size. inside the global gadget of devices (SI), the usual unit of the vicinity is the rectangular meter (written as m²), that's the location of a rectangle whose sides are one meter long. A shape with a place of three rectangular meters would have the equal region as 3 such squares. In mathematics, the unit square is described to have placed one, and the location of another shape or floor is a dimensionless real variety.
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Nora has a collection of 2500 stamps. Of the stamps in Nora's collection, 30% show U.S. presidents,
45% show animals, and the rest show famous athletes. How many stamps in Nora's collection show
famous athletes?
Based on the given percentages and mathematical operations, the number of stamps in Nora's collection that shows famous athletes is 625.
How is the number determined?The number of stamps in Nora's collection that show famous athletes is determined by subtracting the percentages of the knowns from 100%.
After that, the remainder becomes the percentage of stamps showing famous athletes. This percentage is applied to the total collection.
The result of the multiplication operation above is 625.
The total collection of stamps = 2,500
The percentage of stamps showing U.S. presidents = 30%
The proportion of stamps showing animals = 45%
The percentage of stamps showing famous athletes = 25% (100 - 30% - 45%)
The number of stamps that show famous athletes = 625 (2,500 x 25%)
Thus, out of Nora's collection of 2,500 stamps, using mathematical operations, 625 belong to famous athletes.
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a $40 packpack is on sale for $28 . what is the percent of change ?
Answer:11.2
Step-by-step explanation:
the middle number; put the values in order from lowest to highest, then find the number that is exactly in the middle
y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
Please help me with this math problem!! :) NO LINKS PLEASE!!
Answer:
2 more
Step-by-step explanation:
you can only get 1 of everything 2 times
this is - the outfit she already made
3 - 1 = 2 - 1 = 1
7 - 1 = 6 - 1 = 5
4 - 1 = 3 - 1 = 2
2 - 1 = 1 - 1 = 0
PLEASE HELP!!
The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
Study the figure to answer the question.
Triangle A B C. The coordinates of the vertices of triangle A B C are A (0, 4), B (4, 0), and C (0, 0).
Which best describes the three-dimensional figure obtained from rotating the figure around the y-axis?
a triangular prism with a base length of 4 units
a cone with a radius of 2 units
a cylinder with a radius of 4 units
a cone with a radius of 4 units
Answer:
a cone with a radius of 4 units
Step-by-step explanation:
when rotating something, this involves a circle. so, the result will always be round and never edgy. therefrom the first option is wrong.
and we are rotating a triangle. the result will have a wide base and a pointed tip. so, the third option is wrong.
the rotation does not make the basic shape smaller. so, the second option is wrong.
yes, the fourth option is correct.