Answer:
80%
Step-by-step explanation:
8.032×10^-4 in standard form
Answer:
0.0008032
Step-by-step explanation:
Hope this helps!
Answer:
80,320
Step-by-step explanation:
Julio tested the point (4, –2) to see whether it is a solution to this system of equations.
–3x – 2y = –8,
y = 2x – 5
His work is shown below.
Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.
Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.
Answer:
the answer is B on edge
Step-by-step explanation:
B. No. He did not check the point in the second equation
can i get brainly so i can rank up?
Answer:
Like I said B
Step-by-step explanation:
A three member band decided they wanted new outfits shirts cost $15 each pants cost 36 each and shoes cost 49 each what is the total cost of the new outfits for all of the members
Answer: $300
Step-by-step explanation:
3 (15) + 3 (36) + 3 (49)
45 + 108 + 147
300
The total cost is $300
A composite figure is shown. What is the volume for the composite figure
The volume of the composite fiqure as shown in the diagram above is 300 cm³.
What is a composite fiqure?A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.
Note: The composite fiqure is made up of two different cubiods
To calculate the volume of the composite fiqure, we use the formula below.
Formula:
V = lbH+Lbh........... Equation 1Where:
V = Volume of the composite fiqureGiven:
l = 4 cmb = 5 cmH = 9 cmL = 6 cmb = 5 cmh = 4 cmSubsitute these values into equation 1
V = (4×9×5)+(6×5×4)V = 180+120V = 300 cm³Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.
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If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
Actually its option C. 5
Step-by-step explanation:
Trust me
n=120
n=5
the number of pumps in use at both a six-pump station and a four-pump station will be determined. give the possible values for each of the following random variables. (enter your answers in set notation.) (a) t
For each variable, the possible values are:
a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
c) U = {0, 1, 2, 3, 4, 5, 6}
d) Z = {0, 1, 2}
Item a:
In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:
T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Item b:
In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:
X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
Item c:
The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.
U = {0, 1, 2, 3, 4, 5, 6}
Item d:
Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.
Z = {0, 1, 2}
The question is incomplete. The complete question is:
"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)
a. T = the total number of pumps in use
b. X = the difference between the numbers in use at stations 1 and 2.
c. U = the maximum number of pumps in use at either station
d. Z = the number of stations having exactly two pumps in use"
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Write an equation of a parabola that passes through the points (-3,-5) , (-1,3) , and (0,4)
Hence the equation of the parabola is y = -x² + 4
In mathematics, a parabola is a roughly U-shaped, mirror-symmetrical planar curve. The same curves can be defined by a number of seemingly unrelated mathematical definitions, which all correspond to it.
A line and a point (the focus) are two components of one definition of a parabola (the directrix). There is less emphasis on the directrix. The parabola is the location of points in that plane that are equally spaced apart from the directrix and the focus. Another definition of a parabola is a right circular conical surface intersected by a plane parallel to another plane tangential to the conical surface, resulting in a conic section.The general equation of a parabola is given by y = ax² + bx+ c
The parabola passes through (-3,-5) , (-1,3) , and (0,4).
Now substituting the values in the parabola we get :
-5 = a(-3)² + b(-3)+ c
or , -5 = 9a -3b + c
again:
3 = a(-1)² + b(-1)+ c
or, 3 = a -b + c
again
4 = a(0)² + b(0)+ c
or, c =4
Solving the equation we get :
9a - 3b = -9 and a-b = -1
a= -1 and b = 0
Hence the equation of the parabola is
y = -x² + 4
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Given that A={1,2,3,4,5} list the elements of the following sets. i.{x2:x€A} ii.{ :x€A} iii.{2x :x€A} iv.{4x+1:x€A}
Answer:no idea
Step-by-step explanation:
Find the solution of the system of equations.
10x – 2y = 44
-2x - 9y = 10
Answer:
Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs
Answer:
10x=44+2y
x=44+2y/10.....eq(i)
-9y=10+ 2x
-Y=10+2X/9....eq(ii)
Then solve by eq(i) and eq(ii)
A wooden cube has lengths 8cm. It has a mass of 307.2g. Find the density of the cube.
The density of the wooden cube is 0.6 g/cm³ when length is 8cm and has a mass of 307.2g.
To find the density of the wooden cube, we use the formula:
Density = Mass / Volume
Given that the length of the cube is 8 cm, all sides are equal in length.
The volume of a cube is given by the formula:
Volume = side length³
Substituting the given values:
Volume = 8 cm × 8 cm × 8 cm = 512 cm³
Now we can calculate the density:
Density = Mass / Volume = 307.2 g / 512 cm³
Simplifying:
Density = 0.6 g/cm³
Therefore, the density of the wooden cube is 0.6 g/cm³
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A tabletop in the trapezoled has an area of 8,526 square centimeters it’s linger base measures 127 centimeters and the shorter base is 105 centimeters what is the height
Therefore, the height of the trapezoid is 73.5 centimeters.
What is height?Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.
To find the height of the trapezoid, we can use the formula:
Area = (base1 + base2) * height / 2
where base1 and base2 are the longer and shorter bases of the trapezoid, and height is the perpendicular distance between the bases.
We are given that the area of the trapezoid is 8,526 square centimeters, base1 is 127 centimeters, and base2 is 105 centimeters. Let's plug in these values and solve for the height:
8,526 = (127 + 105) * height / 2
8,526 = 232 * height / 2
8,526 = 116 * height
height = 8,526 / 116
height = 73.5
Therefore, the height of the trapezoid is 73.5 centimeters.
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Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Last week Jennifer ran 7 1/2 blocks less than Sam. Jennifer ran 35
blocks. How many blocks did Sam walk?*
Answer:
42.5
Step-by-step explanation:
35+7.5=42.5
You decide not to use your car and cycle to work every day.
You calculate that you will cycle 350 miles a month.
How many kilometres is this? (Use 5 miles to approximately 8 km).
km.
Answer:
560 km
Step-by-step explanation:
350x8/5=
350x1.6=
560
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Mr. D'Angelo hired a painter to paint the outside of his house green. The painter must mix 3 gallons of blue paint with every 5 gallons of yellow paint in order to make the correct shade of green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the correct shade of green paint?
Answer:
\(\frac{3}{5}\)
Step-by-step explanation:
3 gallons of blue paint and 5 gallons of yellow paint and this answer is a fraction so \(\frac{3}{5}\) is the answer.
A turtle pack that normally sells for $39 is on sale for 33% off. Find the
amount of the discount and the sale price.
IS
In August, Donatello's water bill was $48. In September it was 15% higher
Answer:
67% discounted
26
555.2
Step-by-step explanation:
39 - 13 = 26
48 x 1.15 = 55.2
pleasee!! i rly need this one
Answer:
26.99
Step-by-step explanation:
An import company brought into the country some amplifiers that cost sh. 3,750-each. The government imposed an import duty of 125% and a sales tax of 20 %. If the company decided to make a 10% profit on the sales, calculate the selling price of each amplifier.
Answer:
To calculate the selling price of each amplifier, we need to consider the cost, import duty, sales tax, and the desired profit margin.
Cost of each amplifier: sh. 3,750
Import duty of 125% on the cost:
Import duty = 125% of sh. 3,750
= 125/100 * sh. 3,750
= sh. (125/100 * 3,750)
= sh. 4,687.50
Cost of each amplifier including import duty:
Total cost = Cost + Import duty
= sh. 3,750 + sh. 4,687.50
= sh. 8,437.50
Sales tax of 20% on the total cost:
Sales tax = 20% of Total cost= 20/100 * sh. 8,437.50
= sh. (20/100 * 8,437.50)
= sh. 1,687.50
Total cost including sales tax:
Total cost = Total cost + Sales tax
= sh. 8,437.50 + sh. 1,687.50
= sh. 10,125
Desired profit margin of 10% on the total cost:
Profit = 10% of Total cost
= 10/100 * sh. 10,125
= sh. (10/100 * 10,125)
= sh. 1,012.50
Selling price of each amplifier:
Selling price = Total cost + Profit
= sh. 10,125 + sh. 1,012.50
= sh. 11,137.50
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is X. Another side is 6 more than three times the length of the bottom of the triangle. The last side is 4 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answer: 10 + 5x
Step-by-step explanation: the base is x. One side is 6 + 3x. The last side is 4 + x. Now add them together 6 + 3x + 4 + x + x. Then simplify to 10 + 5x.
Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $98
Selling price: $111.48
Tax amount: $
Tax rate: %
The tax amount is $16.48 and the tax rate is 16.8%
How to find the tax rate?If the tax rate is an increase of an X percent, and x is the decimal form of that percentage, then the factor by wich a price increases is (1 + x)
Here we know that the cost of theitem is $98 and the selling price (after the the tax is applied, is $111.48
Then we can write:
111.48 = 98*(1 + x)
Solving that for x we will get:
111.48/98 - 1 = x = 0.168
Writting that as a percentage we get:
0.168*100% = 16.8%
And the value of the tax alone is given by the difference between the two prices:
$114.48 - $98 = $16.48
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if it takes three people 4 hours to clean a warehouse how long will it take 4 people to clean the warehouse
The solution is ,if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.
Here, we have,
given that.
if it takes three people 4 hours to clean a warehouse
now, we have to find that how long will it take 4 people to clean the warehouse.
i.e. we have,
3 people take to clean = 4 hours
let, 4 people will take to do it x hours.
now, we have,
3 people take to clean = 4 hours
so, 1 people take to clean = 4*3 hours
so, 4 people take to clean = 4*3 / 4 hours
i.e. we get,
x = 4*3 / 4 hours
or, x = 12/4 hours
= 3 hours
Hence, if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.
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Ventamo has 72 jars of strawberry jam, and 32 jars of raspberry jam. He wants to place the jam into the greatest possible number of boxes so that each box has the same number of jars of each kind of jam. How many boxes does he need?
8 boxes
Step-by-step explanation:
Start with a proportion
32/72
reduce
4/9
so now
4 jars of raspberry and 9 strawberry times 8 for the total number
so
8 boxes
find f(g(1)) if f(x)=4x and g(x)=2x+5
Evaluating the composition of functions in x = 1 gives:
f(g(1)) = 28
How to find the composition of functions?Here we have the two functions:
f(x) = 4x
g(x) = 2x + 5
And we want to find to find the composition f(g(x)), we will get:
f(g(x)) = 4*g(x)
Replacing g(x) there we will get:
f(g(x)) = 4*(2x + 5)
= 8x + 20
Now we can evaluate that in x = 1, then we will get:
f(g(1)) = 8*1 + 20 = 28
That is what we wanted to find.
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estimate the quotient 368/4
You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125.
Find the common ratio.
The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
In a geometric sequence,
The third term is 100 and the eighth term is 3.125.
Now,
We know that;
The nth term of geometric sequence is,
⇒ \(T_{n} = a r^{n - 1}\)
Hence, The third term is;
⇒ \(T_{3} = a r^{3 - 1} = 100\)
⇒ \(a r^{2} = 100\) ..(i)
And, The eighth term is,
⇒ \(T_{8} = a r^{8 - 1} = 3.125\)
⇒ \(a r^{7} = 3.125\) ..(ii)
Divide equation (ii) by (i), we get;
⇒ ar⁷ / ar² = 3.125/100
⇒ r⁷ / r² = 3125 / 100000
⇒ r⁷⁻² = 3125 / 100000
⇒ r⁵ = 3125 / 100000
⇒ r = 5/10
Thus, The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
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f(x) =x(x-1) on R to R
find A and B such that g: A to B defined by g(x)=f(x) is bijective
this is an algebra question, help.
details are needed
Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.
To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.
So, let's assume that g(x1) = g(x2). Then, we have:
f(x1) = f(x2)
x1(x1-1) = x2(x2-1)
x1^2 - x1 = x2^2 - x2
x1^2 - x2^2 - x1 + x2 = 0
(x1 - x2)(x1 + x2 - 1) = 0
Since x1 and x2 are distinct, we must have x1 + x2 = 1.
But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.
To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.
So, let's solve the equation f(x) = y for x:
x(x-1) = y
x^2 - x - y = 0
Using the quadratic formula, we get:
x = (1 ± √(1 + 4y))/2
Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.
Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.
What two numbers add up to -2 and multiple to 10
There are no two Real numbers that add up to -2 and multiply to 10.
The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:
Equation 1: x + y = -2
Equation 2: x * y = 10
To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:
1. Solve Equation 1 for x:
x = -2 - y
2. Substitute the value of x in Equation 2:
(-2 - y) * y = 10
3. Simplify the equation:
-2y - y^2 = 10
4. Rearrange the equation to standard form:
y^2 + 2y + 10 = 0
5. Since the equation is a quadratic equation, we can apply the quadratic formula:
y = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 2, and c = 10.
6. Calculate the discriminant: b^2 - 4ac:
2^2 - 4(1)(10) = 4 - 40 = -36
7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.
In conclusion, there are no two real numbers that add up to -2 and multiply to 10.
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you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75