The equivalent expression to -87=-83g is g = 1.05
Equivalent expressions:Equivalent expressions are expressions that have the same value for any given values of the variables.
To create equivalent expressions, we can use the properties of arithmetic and algebra to manipulate and simplify expressions without changing their value.
Here we have
The equation -87 = - 83g
The above expression can be simplified as follows
=> -87 = - 83g
Divide by - 83 into both sides
=> - 87/-83 = - 83g/-83
=> g = 1.05
Therefore,
The equivalent expression to -87=-83g is g = 1.05
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find the number of different ways that 570 contestants can win different first, second and third prizes.
184,219,440 ways.
What is contestant?
A participant in a contest or competition is known as a contestant. A contestant is someone who challenges election results.
There are 570 contestants, and any one of them can win the first prize.
One of the remaining 569 people can receive the second prize.
Third may be assigned to any of the remaining 568.
We can accomplish this in 570*569*568 ways
= 184,219,440 ways.
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what is 36 and 8 greatest common factor
Answer:
The answer is 4
Step-by-step explanation:
4x9=36
2x4=8
Hope this helps
Greatest common factor (GCF) of 36 and 8 is 4
Answer:
Step-by-step explanation:
Can someone answer this for me?
Answer: as per question statement
we need to set up an equation first
p(t)=1200e(0.052*t)
they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present
we need to find population at t=6
we need to plug t=6 in p(t).
P(6)=1200e(0.052*6)=1639.38
1638.38 bacteria were present at that time t=6
Step-by-step explanation: I hope this helps.
How do I find the equation of a line?
Can i have an easy method for this pls tyy!
Answer:
Steps to find the equation of a line from two points:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Step-by-step explanation:
Well this is my way lol
mark brainliest if u want to cuz i need 5 more :)
Answer:
Step-by-step explanation:
You usually need to find the slope first.
When you have more than two points, you use the slope-intercept formula.
When you have one point and a slope, you use point-slope formula.
Hope this helps!
draw the graph of x +2y=3 and 2x-y=1 check whether they are consistent or inconsistent if they are consistent find the solution.
Answer:
they are consistent .hope this helps
Which gives the correct domain and range for the following relation: (-3, 2) , (0, 4) ,
(-3, 0) , (1, 4)
A. Domain: {-3, 0, 4}, Range: {2, 4}
B.
Domain: {-3, 0, 1}, Range: {0, 2, 4}
C.
Domain: {-3, 0, 4}, Range: {0, 2, 4}
D.
Domain: {-3, 0, 1}, Range: {2, 4}
Broderick needs to solve the formula below for r. Which correctly describes the first step he should take?
The first step to solve for r is (J) He should divide both sides of the equation by π.
How to solve the formula for r?The equation is given as:
A= πr^2
Divide both sides of the equation by π.
So, we have:
r^2 = A/π
Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.
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Please help with the two files attached below. Will give 20 points and brainliest. 10 points for each question.
Question 1
Arc FP is 52° by the inscribed angle theorem.
The answer is thus 128° because the diameter makes DF the arc of a semicircle.
Question 2
The radii of a circle are equal, so we have a hypotenuse of 13 and a leg of length 5.
By the Pythagorean theorem, x=12.
Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12
Answer:
this is the answer in the image above
Answer:
3672look attachment
Tickets for a concert cost $4. 00 for a balcony seat and $7. 50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
there were 80 more tickets sold for balcony seats than for orchestra seats
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
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What is 4x3x4x9 squared
Answer:
186,624 I think
Step-by-step explanation:
4*3=12
12*4=48
48*9=432
\(432^{2}\)= 186,624!
given that the customer paid with a credit card, find the probability that she or he bought premium gas. round your answer to 3 decimal places. leave your answer in decimal form.
The probability that a customer who paid with a credit card bought premium gas is 0.205.
We need to use Bayes' theorem to find the required probability. Let P(P) be the probability that the customer bought premium gas, and P(C) be the probability that the customer paid with a credit card.
We know that:
P(R) = 0.88P(M) = 0.02P(P) = 0.10P(C|R) = 0.28P(C|M) = 0.34P(C|P) = 0.42We want to find P(P|C), which is the probability that the customer bought premium gas given that she paid with a credit card.
Using Bayes' theorem, we have:
\(P(P|C) = \frac{P(C|P) \cdot P(P)}{P(C)}\)
We can find P(C) using the law of total probability:
P(C) = P(C|R) . P(R) + P(C|M) . P(M) + P(C|P) . P(P)
Substituting the given values, we get:
P(C) = 0.28 * 0.88 + 0.34 * 0.02 + 0.42 * 0.10 = 0.3036
Now, substituting P(C|P) = 0.42 and P(P) = 0.10, we get:
\(P(P|C) = \frac{0.42 \cdot 0.10}{0.3036} = 0.205\)
Therefore, the probability that a customer who paid with a credit card bought premium gas is 0.205 (rounded to 3 decimal places).
The complete question:
In a recent month, 88% of automobile drivers filled their vehicles with regular gasoline, 2% purchased midgrade gas, and 10% bought premium gas. Of those who bought regular gas, 28% paid with a credit card; of customers who bought midgrade and premium gas, 34% and 42%, respectively, paid with a credit card. Suppose we select a customer at random. Given that the customer paid with a credit card, find the probability that she bought premium gas.
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Given the diagram below, if Z is the incenter of AWXY,
m/WYX= 86° and m/WXZ = 33°, find each measure.
The measure of U is 180 degrees. z is the incentre it has 360 degrees, W=102 degrees, the angle T is 114.5 and angle V is 114.5 degrees
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
In Diagram, if Z is the incenter of AWXY,
m/WYX= 86° and m/WXZ = 33°,
We need to find the measure of other angles.
As z is the incentre it has 360 degrees.
The measure of U is 180 degrees.
By angle sum property we find Measure of W
W+45+33=180
W+78=180
W=180-78
W=102
The measure of quadrilateral is 360 degrees
T+V+45+86=360
x+x+45+86=360
2x+131=360
2x=229
x=114.5
So, the angle T is 114.5 and angle V is 114.5
Hence, The measure of U is 180 degrees. z is the incentre it has 360 degrees, W=102 degrees, the angle T is 114.5 and angle V is 114.5 degrees
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A piece of construction equipment was bought 3 years ago for $ 500,000, expected life of 8 years and a salvage value of $20,000. The annual operating cost for this equipment is $58,000. It now can be sold for $200,000. An alternative piece of equipment can now be bought for $ 600,000, a salvage value of $150,000 and an expected life of 10 years. The annual operating cost for this equipment is $15,000. At MARR= 10% should we replace the old equipment? Use both EAC and P.W. Replace/Not replace
The required answer is considering both the EAC and P.W., it is recommended to replace the old equipment with the new equipment.
Given that:
For the old equipment:
Cost = $500,000
Annual Operating Cost = $58,000
Salvage Value = $20,000
Life = 8 years
For the new equipment:
Cost = $600,000
Annual Operating Cost = $15,000
Salvage Value = $150,000
Life = 10 years
To determine whether to replace the old equipment, we can compare the Equivalent Annual Cost (EAC) and Present Worth (P.W.) of both options.
Calculate the EAC and P.W. for both options and compare them.
Calculate EAC:
EAC = Cost + Annual Operating Cost - Salvage Value / Life
For the old equipment:
EAC (old) = $500,000 + $58,000 - $20,000 / 8
EAC (old) = $63,500
For the new equipment:
EAC (new) = $600,000 + $15,000 - $150,000 / 10
EAC (new) = $48,500
Calculate P.W. at MARR (Minimum Attractive Rate of Return) of 10%:
P.W. = -Cost + Annual Operating Cost - Salvage Value / (1+MARR)^Life
For the old equipment:
P.W. (old) = -$500,000 + $58,000 - $20,000 / (1+0.10)^8
P.W. (old) = $157,273.22
For the new equipment:
P.W. (new) = -$600,000 + $15,000 - $150,000 / (1+0.10)^10
P.W. (new) = $167,777.05
Based on the calculations, the EAC for the new equipment is lower than the EAC for the old equipment. Additionally, the P.W. for the new equipment is slightly higher than the P.W. for the old equipment.
Therefore, considering both the EAC and P.W., it is recommended to replace the old equipment with the new equipment.
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PLEASE HELP MEEE WILL GIVE BRAINLIEST!!!!
A. Find an equation in point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in point-slope form for the line having the slope m=-3 and containing the point (3,8).
Part A)
Given
Slope m = 6Point (7, 2)Using the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
where
m is the slope of the line
(x₁, y₁) is the point
In our case:
m = 6(x₁, y₁) = (7, 2)substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
\(y - 2 = 6(x-7)\)
Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:
\(y - 2 = 6(x-7)\)
Part B)
Given
Slope m = -3Point (3, 8)Using the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
where
m is the slope of the line
(x₁, y₁) is the point
In our case:
m = -3(x₁, y₁) = (3, 8)substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
\(y - 8 = -3(x-3)\)
Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:
\(y - 8 = -3(x-3)\)
PLEASE HELP FAST, I'LL MARK YOU AS BRAINLIST
Marcus walks halfway around a square gym with an area of 90,000m². How far did he walk
It takes Ryan 1 5 of an hour to bike from home to school. His biking speed is 10 mph.
How far apart are his school and his house?
Answer:
2
Step-by-step explanation:
1/5*10
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10 2. 11>-2 Add 5 to both sides, then add 3, then add (-4) 3. -4<-2 Subtract 6 from both sides, then 8, and then 2 4. -8<8 Divide both sides by -4, then by -2 5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
The inequalities are solved and the operations does not change
Given data ,
a)
Let the inequality be 4 < 7
Multiplying both sides by 7: 47 < 77, which simplifies to 28 < 49.
Multiplying both sides by 6: 628 < 649, which simplifies to 168 < 294.
Multiplying both sides by 3: 3168 < 3294, which simplifies to 504 < 882.
Multiplying both sides by 10: 10504 < 10882, which simplifies to 5040 < 8820.
The inequality sign remained "<" (less than), and the inequality was still true. Multiplying by a positive number does not change the direction of the inequality
b)
Let the inequality be 11 > -2
Adding 5 to both sides: 11 + 5 > -2 + 5, which simplifies to 16 > 3.
Adding 3 to both sides: 16 + 3 > 3 + 3, which simplifies to 19 > 6.
Adding (-4) to both sides: 19 + (-4) > 6 + (-4), which simplifies to 15 > 2.
The inequality sign remained ">" (greater than), and the inequality was still true. Adding a positive number to both sides of an inequality does not change the direction of the inequality
c)
Let the inequality be -4 < -2
Subtracting 6 from both sides: -4 - 6 < -2 - 6, which simplifies to -10 < -8.
Subtracting 8 from both sides: -10 - 8 < -8 - 8, which simplifies to -18 < -16.
Subtracting 2 from both sides: -18 - 2 < -16 - 2, which simplifies to -20 < -18.
The inequality sign remained "<" (less than), and the inequality was still true. Subtracting a positive number from both sides of an inequality does not change the direction of the inequality
d)
Let the inequality be -8 < 8
Dividing both sides by -4: -8/-4 < 8/-4, which simplifies to 2 < -2.
Dividing both sides by -2: 2/-2 < -2/-2, which simplifies to -1 < 1.
The inequality sign remained "<" (less than), but the inequality is not true anymore. Dividing both sides of an inequality by a negative number changes the direction of the inequality.
Hence , the inequalities are solved
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please answer the question
The required volume of the drug can be obtained as 4 mL.
What is the required volume of the drug?We know that according to the question, the volume of the drug would be connected with the mass of the drug that is under consideration. We know that the mass of the drug that is taken would depend on the mass of the dog.
Since the dog has a mass of 10 Kg;
On the first day, the dog needs a mass of; 0.2 * 10 = 2 mg
Each other day , the dog needs a mass of; 0.1 * 10 = 1 mg
Total mass of the drug required by the dog = 2 mg + 4(1 mg)
= 6 mg
Since each milliliters has a mass of 1.5 Kg, the volume that is required is 4 mL.
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Arrange the following expressions in order of their value from least to greatest. a. 4-6 b. -4 + 6 C.-4 - 6
The arrangement of expressions from least to greatest is c, a and b
The given expressions are
a. 4-6
b. -4+6
c. -4-6
We need to arrange from least expression to greatest
What is Ascending Order?
The arrangement of numbers from least to greatest
Solve a, b and c expressions
a. 4-6=-2
b. -4+6=2
c. -4-6=-10
We know that -10<-2<2
Therefore the arrangement of expression from least to greatest is c, a and b
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Every car in the USA has a mileometer. A mileometer shows the total distance that a car has travelled. Rahim bought a used car and paid $15 000 for it. When Rahim bought the car, the mileometer read: 0 0 9 3 8 5 miles. When Rahim wanted to sell the car, the mileometer read: 0 5 4 0 4 5 miles. He has been told that the value of the car will drop by 5 cents for every kilometre driven. How much money should Rahim expect to get for selling his car? Remember: $1 = 100 cents. Hint: First find out how many kilometres the car has been driven then work out how much the value of the car will drop by in dollars. Finally, subtract the value lost from the original value of the car to calculate how much the car will sell for. (3 marks)
Answer:
Rahim should expect to sell his car for approximately $11,406.35
Step-by-step explanation:
Rahim drove his car for 54,045 - 9,385 = 44,660 miles
if the car depreciates 5¢ for every kilometer driven, we must convert 44,660 miles to kilometers
44,660 miles x 1,60934 kilometers/mile = 71,873.12 ≈ 71,873 kilometers
the car depreciated by 71,873 x $0.05 = $3,593.65
Rahim should expect to sell his car for approximately $15,000 - $3,593.65 = $11,406.35
While on a business trip to Kensington, Vivian treated her co-workers to a meal that cost
$70. Vivian knew that when the bill came, she would need to pay Kensington sales tax of
10% and would want to leave a 20% tip on the original $70. Including tax and tip, how much did Vivian's meal cost?
$____
Rhonda bought a new laptop for $500. The laptop
depreciates, or loses, 10% of its value each year. The
value of the laptop at a later time can be found using
the formula A - P(1 - 1)', where P is the original
value, r is the rate of depreciation written as a decimal,
and t is the number of years since it was purchased,
What will the laptop be worth in two years?
In two years, the laptop will be worth $________.
The solution is ______ ?
Answer:
405
Step-by-step explanation:
A = P(1-r)^t
A = 500 (1-.1)^2
A = 500 (.9)^2
= 500*0.81
= 405
What is the slope equation for (1,-1) and (5,-17)
Answer:
slope(m) is -4
Step-by-step explanation:
\(m=\frac{-17-(-1)}{5-1} \\\\m=\frac{-16}{4} \\\\m=\frac{-4}{1} \\\\m=-4\)
now substitute with one of the points
y=mx+b
-1=-4+b
+4 +4
3=b
now you have both m and b
y=-4x+3
the side of a square is increasing with a rate of 10 inches/minute. how fast is the area of the square increasing when the side is 25 inches ?
The side of a square is increasing with a rate of 10 inches/minute. The length of the side is given as 25 inches. The rate of change of area of the square is 500 inches/minute.
The side of the square s is given as 25 inches. We know that, area A = s².
Applying differentiation for the above equation, we get
dA/dt² = d(s²)/dt
dA/dt² = 2s* ds/dt
Given that, the side of a square is increasing with a rate of 10 inches/minute and s = 25 inches.
ds/dt = 10 inches/minute
dA/dt² = 2s* ds/dt = 2*25*10 = 500 inches per minute
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Can anybody help me get the answer to this problem? I don't need a huge explanation on how you got it but a very brief explanation as I am low on time. Thanks!
As given by the question
There are given that the graph.
Now,
The value of f(4) is:
\(\begin{gathered} f(x)=y \\ f(4)=0 \end{gathered}\)And
If f(x)=5, then x is:
\(\begin{gathered} f(x)=5 \\ f(x)=y \\ f(2)=5 \end{gathered}\)Hence, the value of f(4) is 0 and x is 2.
PLEASE HELP I HAVE A 68 IN MATH
Answer:
Question 3: d
Question 4: a
Step-by-step explanation:
Substitute the letters for the numbers that they give you.
3. 34 or D
4. A or 80
5. B or x/4
3. plug the n and x value so:
20+5(3)-1 **always do the parenthesis**
20+15-1= 35-1= 34
4. same thing as the last one:
5(4+3(4))
20+ 3(4)= 20+ 5*12= 20+60= 80
5. you divide whatever the bill is by 4
Fill in the P(x - x) values to give a legitimate probability distribution for the discrete random vanuble X, whose possible values are 1, 2, 4, 5, and 6. Value of x P(X= ) 1 0.10 2 022 0.14 X 5 ?
The legitimate probability distribution for the discrete random variable X is:
Value of x P(X= )
1 0.10
2 0.22
4 0.14
5 0.18
6 0.36
To create a legitimate probability distribution, the sum of all the probabilities should be equal to 1. So, we can use the fact that the sum of all probabilities must equal 1 to find the missing probability for X = 5.
Value of x P(X= )
1 0.10
2 0.22
4 0.14
5 ?
6 0.36
To find P(X = 5), we can subtract the sum of the probabilities for X = 1, 2, 4, and 6 from 1:
P(X = 5) = 1 - (0.10 + 0.22 + 0.14 + 0.36) = 0.18
Therefore, the legitimate probability distribution for the discrete random variable X is:
Value of x P(X= )
1 0.10
2 0.22
4 0.14
5 0.18
6 0.36
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Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram. A circle is cut into 8 equal sections. The sections are arranged into the shape of a parallelogram with a base of 9. 42 inches and height of 3 inches. Which expression represents the approximate area of the circle in square inches?9. 42 times 39. 42 times 3 squared9. 42 times 69. 42 times 6 squared
The expression that represents the approximate area of the circle in square inches is 9.42 times 3.
To find the area of the circle, we can consider the parallelogram formed by arranging the equal sectors of the circle. The base of the parallelogram is given as 9.42 inches, and the height is 3 inches.
The area of a parallelogram can be calculated by multiplying the base and the height. In this case, the area of the parallelogram is 9.42 inches times 3 inches.
Therefore, the expression that represents the approximate area of the circle is 9.42 times 3, which simplifies to 28.26 square inches.
It's important to note that the expression provided in the options, 9.42 times 39.42 or any of the other options, does not correctly represent the area of the circle in square inches based on the given information. The correct expression is 9.42 times 3.
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The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
D 0.6
Step-by-step explanation:
plato/edmentum
Answer: 0.6
Step-by-step explanation: