Answer:
x=25
Step-by-step explanation:
2x+5x+5=180
7x+5=180
7x=175
x=25
Have a nice day! :)
-Vana
Answer:
X=25
Step-by-step explanation:
2x+5X+5=180
brarinlest PLEASE
If i had challenges in the past working with subtracting and adding integers, what were those challenges?
It's difficult
I think that you just need to consider that we are working with the decimal system
and every 10 units you must add a new unit in the ten or subtract one in the tens
That's how I can help you
Fred is a weightlifter who can lift 800 pounds on 45% of his attempts. Which of these expressions represents the probability Fred will make 30 lifts out of 60? A. B(30,.45,60)B. B(30,800,60)C. N(30, 800,60) D. N(60, 45, 30)E. B(60, 45, 30)
Expression represents the probability of the given number of attempts and the success rate is given by option E. B( 60 , 45 , 30 ).
As given in the question,
In the given situation,
Let us consider 'n' represents the number of trials attempt by the weightlifter.
'p' represents the probability of success in his number of trials.
And 'r' represents the number of success out of his total number of attempts.
Here n = 60
p = 45%
r = 30
Using binomial distribution method we can represents the expression of the probability for the given condition :
B( n , p , r )
Substitute the values we get,
= B( 60, 45, 30 )
Therefore, for the given total number of lifts , success rate the expression represents the probability is given by option E . B ( 60, 45 , 30 ).
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calculate the highest common fac for it to the following 4 45, 6 o and is
Answer:
The greatest common factor is 1
Step-by-step explanation:
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.
Can I get help with these whisker plots?
What is 8 divided by 3 as a fraction
Answer: 2 8/3
Step-by-step explanation:
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R
What is the range of f(x) = |x| + 7?
−7 ≤ y < ∞
−∞ < y ≤ −7
0 ≤ y < ∞
7 ≤ y < ∞
When the domain is substituted, the Range of the function will be
7 ≤ y < ∞
How can we find Range ?The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.
Given a function f(x) = |x| + 7
This |x| show that it is a modulus. That is, the domain will always be positive numerals.
The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7
The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞
y = f(x)
Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞
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Use thermos to find c in the following circles x= a b c
9514 1404 393
Answer:
x = ab/c
Step-by-step explanation:
The applicable theorem tells you the product of chord lengths is the same for the two crossing chords:
ab = cx
x = ab/c . . . . . divide by the coefficient of x
What is the volume of this triangular pyramid
Answer:
The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).
Step-by-step explanation:
Answer:
192 cubic feet
Step-by-step explanation:
The volume V of a triangular pyramid is given by the formula:
V = (1/3) * base area * height
where base area is the area of the triangular base.
In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:
base area = length * width = 8 ft * 8 ft = 64 sq ft
Substituting the given values into the formula, we get:
V = (1/3) * 64 sq ft * 9 ft
V = 192 cubic feet.
Therefore, the volume of the triangular pyramid is 192 cubic feet.
How many terms are in the following expression?
2x+4y+8-2
Answer:
3
Step-by-step explanation:
In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 3 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) 0.84 mile(s) down the coast
Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.
As given in the question,
Nearest point on the coast is 2 miles far away
rate of the row = 1mile per hour
Walk at the rate of 3 miles per hour
Let 'x' hours be the least time to reach point Q.
Time = distance / speed
Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3
Time taken to reach the coast = (√ 4 + x² ) / 1
Total time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
To find least time dt/dx = 0
t = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )
⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )
Squaring both the side we get,
x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )
⇒3x² -24x +36 =0
⇒ x² -8x + 12 = 0
⇒ x = 2 or 6 hours
Therefore , the least time taken to reach the point Q is equal to 2 hours.
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Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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Find the distance between the two points rounding to the nearest tenth
(-4, 2) and (3, 5)
Answer:
-8.66666666666666666666666666666666666
-9
Step-by-step explanation:
Will mark brainiest for CORRECT answer!
ANSWER: y = (1/2)x - 1.
To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.
First, let's find the derivative of the function y = √(x - 3) using the power rule:
dy/dx = 1/(2√(x - 3))
Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:
m = dy/dx = 1/(2√(4 - 3)) = 1/2
So, the slope of the tangent line is 1/2.
Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:
y - y1 = m(x - x1)
Substituting the values (x1, y1) = (4, 1):
y - 1 = (1/2)(x - 4)
Simplifying the equation:
y - 1 = (1/2)x - 2
y = (1/2)x - 1
Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.
Answer:
y = (1/2)x - 1/2
Step-by-step explanation:
Step 1: Find the derivative of the function
The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:
d/dx (x^n) = nx^(n-1)
Applying this rule to our function, we get:
dy/dx = d/dx sqrt(x - 3)
To differentiate the square root function, we can use the chain rule of differentiation which states that:
d/dx f(g(x)) = f'(g(x)) * g'(x)
Applying this rule to our function, we have:
g(x) = x - 3
f(g) = sqrt(g)
So,
dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1
Substituting g(x) = x - 3, we get:
dy/dx = 1/(2*sqrt(x - 3))
So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).
Step 2: Evaluate the derivative at the given point
To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:
dy/dx = 1/(2*sqrt(4 - 3)) = 1/2
So, the slope of the tangent line at the point (4, 1) is 1/2.
Step 3: Use point-slope form to write the equation of the tangent line
Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:
y - 1 = (1/2)*(x - 4)
Simplifying this equation, we get:
y = (1/2)x - 1/2
So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.
Hope this helps!
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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A computer designer has to build a computer which can executes 300 instructions and represents integers in
\( - {10}^{14} \)
to
\( {10}^{14} \)
lf one instruction is stored in the entire memory word, what is the maximum memory capacity this computer can occupy?
The computer can occupy a maximum of 1200 bytes of memory.
To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.
If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.
The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.
Hence, the maximum memory capacity this computer can occupy would be 300 memory words.
To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:
300 memory words * 4 bytes per word = 1200 bytes.
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Suppose that y varies directly with x, and y= --27 when x= --3 .
A) write a direction variation equation that relates x and y.
B) Find Y when x= 5
Answer:
A) y=9x
B) y=45 when x=5
Step-by-step explanation:
Part A
\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)
Part B
\(y=9(5)\\y=45\)
Based on the plot, approximately how many practice puzzles
per week do members solve if they finish the contest puzzle
in one hour?
a 6
b 10
c 4
d 2
Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle
in one hour is c 4
How to explain the scatterplotThe line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.
If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.
The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.
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Man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and she wants to order between 15% and 20% extra of the material
The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².
How to calculate the value?From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.
It should be noted that 15% of the material will be:
= 15% × 115.4
= 17.31 ft²
It should be noted that 20% of the material will be:
= 20% × 115.4
= 23.08 ft²
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$7,400 at 10.5% for 4 years
Answer:
$3108
Step-by-step explanation:
Use the formula: Interest = Principal(rate)(time)
I = Prt
P: 7400
t: 4
r: 10.5% convert to a decimal 10.5/100 = 0.105
I = 7400(4)(0.105)
I = 3108
Starrla was trying to collect 3 pounds of cans to recycle. If she collects one-fourth of a pound each day, how many days will it take her to collect 3 pounds?
Answer:
With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents. Although there are some people making a living collecting cans in the streets, it isn't a good living.
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Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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1. The population of a town was 112 in 2014. The population doubles every year.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2014.
(b) Estimate the population of the town in 2023.
Show your work.
Answer:
Answer: 2048
Step-by-step explanation: 1. Write the exponential growth model.
The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.
2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048
Therefore, the estimated population of the town in 2023 is 2048.
2. Abigail and Curtis Siebert: $270,000 mortgage at 7% for 20 years.
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1). Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.
To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),
where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.
The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.
Now, we can substitute the values into the formula:
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).
Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
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Howard is designing a poster board that will be enlarged to make a sign.
• The dimensions of the poster board are 24 inches by 36 inches.
• The dimensions of the sign will be 12 feet by 18 feet.
What is the ratio of the area of the poster board to the area of the sign? Show your work or explain your answer.
What is f(g(13))?
A mapping diagram is shown.
Answer:
(c) 32
Step-by-step explanation:
Given a map between x, g(x), and f(g(x)), you want to find f(g(13)).
Using a mapYou want the function value that results when 13 is the argument of g(x), and g(x) is the argument of f(x).
Locate the input (13) in the left column of the diagram. Follow the arrow to find g(13) = 16. Follow the arrow again to find f(16) = 32.
f(g(13)) = 32
Which ordered pair represents the solution to the system of linear equations?
Answer:
0,2
Step-by-step explanation:
because because it crosses the x-axis line only one time
Keisha is riding her bike to her friend Trina’s house to study for her Math test. • Trina lives 7 miles north of Keisha’s house. • After studying, Keisha leaves her friend’s house and goes to the ice cream shop that is 4 miles east of her friend’s house. • Keisha gets her ice cream, then rides her bike in a straight line back home. What is the total distance in miles that Keisha biked during her outing? Round your answer to the nearest tenth of a mile.
Answer:it’s f
Step-by-step explanation:
Answer:
f
Step-by-step explanation:
1/4 divided by 3/8 pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2/3
Step-by-step explanation:
If the five digit number aa448 is divisible by 9, what digit does a represent?
Answer:
a represent 1
and number is 11448.
Step-by-step explanation:
We know that a number is divisible by 9 if the sum of its digit is divisible by 9.
Given number aa448
sum of 4+4+8 = 16
number divisible by 9, 18 , 27,36
as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be number divisible by 9 and greater than 16 which is 18, 27,36
Let see of if sum of digits of aa448 is divisible by 18
a+a+4+4+8 = 18
2a + 16 = 18
2a = 18-16 = 2
a =2/2 = 1
Thus, number will be 11448
________________________________________
Let see of if sum of digits of aa448 is divisible by 27
a+a+4+4+8 = 27
2a = 27 - 16
2a = 11 = 2
a =11/2 = 5.5
as digit cannot be fraction of decimal, it can take value from 1 to 9 hence
sum of digits of aa448 is not divisible by 27
______________________________________________
Let see of if sum of digits of aa448 is divisible by 36
a+a+4+4+8 = 36
2a + 16 = 36
2a = 36-16 = 20
a =20/2 = 10
as digit can take value from 1 to 9 hence sum of digits of aa448 cannot be divisible by 36 or any higher number than 36 which is divisible by 9.
Thus , a represent 1
and number is 11448.
un cuerpo es dejado caer desde una altura de 3000 centímetros
Answer:
what is your question
Step-by-step explanation: am not trying to steal ur points