Since we have the following:
\(A\colon p=20h+70\)And:
\(B\colon p=10h+140\)Those represent the payment of each musician [A and B], In order to know when they will be paid the same, we proceed as follows:
\(20h+70=10h+140\)Then, we solve for h:
\(\Rightarrow20h-10h=140-70\Rightarrow10h=70\Rightarrow h=7\)From this, we can tell that after 7 hours of work they both will be paid the same ammount.
helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
Explain why it is not possible to simplify 3⁸ x 2⁵
Answer:
because 2 and 3 are all prime factors
Step-by-step explanation:
What is the answer to my question?
Answer:
x is text per messages recived
Step-by-step explanation:
.x is 5 and they messages recived is 1
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
Samantha walks a total of 2/3 mile to get to and from school each day . Find the total number of miles that Samantha walked to and from school over 5 days
Answer:
3 1/3 miles
Step-by-step explanation:
If Samantha walks 2/3 miles everyday and they are asking for 5 days
2/3miles · 5days = 3 1/3 or 10/3 miles
Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast
This question is incomplete, the complete question is;
Given that a Historical Demand for a product is;
Month Demand
January 12
February 11
March 15
April 12
May 16
June 15
Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast.
Answer: the July forecast is 15
Step-by-step explanation:
Given that;
Month Demand Weights
January 12
February 11
March 15
April 12 0.10
May 16 0.30
June 15 0.60
July ? ?
Formula for calculating weighted moving average is
Ft = w1A_t-1 + w2A_t-2 ............+ wnA_t-n
w1, w2, wn is the weight assigned to the period t-1, t-2, t-n respevtively
A_t-1, A_t-2, A_t-n is the demand period t-1, t-2, t-n respevtively
and n is the total number prior periods in the forecast.
so we just substitute our values into the equation
Forecast(July) = (15 × 0.6) + (16 × 0.30) + ( 12 × 0.10)
= 9 + 4.8 + 1.2
= 15
Therefore the July forecast is 15
Joe owes John 16$ he tells
his four kids to pay off the dept.
How much will each kid
pay off?
Answer: $4
Step-by-step explanation:
First, why are you making yo kids pay yo debt?
Second 16/4=4
The function h defined by h(t)=(49+4.9t)(10−t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.Find or approximate the time when the object hits the ground. Explain or show your reasoning.From what height is the object dropped? Explain or show your reasoning.
Step 1
Given;
\(h(t)=(49+4.9t)(10-t)\)Step 2
Find or approximate the time when the object hits the ground.
\(\begin{gathered} we\text{ set h\lparen t\rparen=0} \\ 0=(49+4.9t)(10-t) \\ 49+4.9t=0\quad \mathrm{or}\quad \:10-t=0 \\ t=-10,\:t=10 \\ Time\text{ cannot be negative hence t=10seconds} \end{gathered}\)Step 3
From what height is the object dropped?
\(\begin{gathered} h(t)=(49+4.9t)(10-t) \\ h(t)=490-4.9t^2 \end{gathered}\)Considering the equation above and the graph below, we can deduce that;
\(The\text{ ball was dropped from 490meters since the object was just dropped}\)Answer to the second part- 490 meters
Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. What is the number of rolls of paper used per wall?
The number of rolls of paper used per wall will be 1.5 rolls per wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.
Then the number of rolls of paper used per wall is given as,
⇒ 6 / 4
⇒ 1.5 rolls per wall
The number of rolls of paper used per wall will be 1.5 rolls per wall.
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Solve for the indicated variable.G/h = e - 10 for g
Procedure:
\(\begin{gathered} \frac{g}{h}=e-10 \\ g=h(e-10) \end{gathered}\)Answer:
\(g=h(e-10)\)Summary:
0. We isolated the variable
6 divided by 0.528 long division (answer QUICKLY)
Answer: 11.36
Step-by-step explanation:
↓ Please look in the screenshot below...
Two companies A and B are offering 70 and 50 products respectively. Company A is offering 40 software products and 30 hardware products. Company B is offering x hardware products and y software products to be determined. If a product is selected at random, what is the probability that (a)This product is a hardware product given that is from company B? (in terms of y) (b)This product is a hardware product given that is from company A? (C) For what values of y will the probability in part (a) be greater than the probability in part (b)?
The probability that the selected product is a hardware product given that is from company B is x/50.
The probability that the selected product is a hardware product given that is from company A is 3/7.
The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Company A:
Total product = 70
Software product = 40
Hardware product = 30
Company B:
Total product = 50
Software product = y
Hardware product = x
The probability that the selected product is a hardware product given that is from company B.
= x/50 ____(1)
The probability that the selected product is a hardware product given that is from company A.
= 30/70
= 3/7 _____(2)
From (1 ) and (2) we get,
x/50 > 3/7
x > 3/7 x 50
x > 21
Thus,
The probability that the selected product is a hardware product given that is from company B is x/50.
The probability that the selected product is a hardware product given that is from company A is 3/7.
The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).
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The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 48 who smoke. Step 1 of 2: Suppose a sample of 271 Americans over 48 is drawn. Of these people, 220 don't smoke. Using the data, estimate the proportion of Americans over 48 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
0.188
Step-by-step explanation:
The computation is shown below;
First we have to determine the no of smokers
= Total no of persons - number of non-smokers
= 271 - 220
= 51
Now we have to estimate the proportion
So for this
= 51 ÷ 271
= 0.188192
= 0.188
Hence, the estimation is 0.188
The same is to be considered
HELP ME i need to do good to get my credit but i don’t understand this lesson plsss helpp!!
The inequality of the graph is given as follows:
x - 4 ≥ -2x + 8.
How to obtain the inequality?The solution to the inequality is composed by the numbers to the right of the closed interval at x = 4, hence it is given as follows:
x ≥ 4.
Then the equivalent inequality is the one that has the same solution as the inequality graphed, and thus it is given as follows:
x - 4 ≥ -2x + 8
3x ≥ 12
x ≥ 12/3
x ≥ 4.
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A school knows that 10% of its students are left-handed what is the probability that there will be between 33 and 45 left-handed students in randomly selected group of 400
8(b+1) = -11-3b. what is the answer
Answer:
B= -19/11 (negative 19 over 11)
The students in Mrs. Barnett's first-grade class sit down in a circle for show-and-tell. The circle they form has a diameter of 4 meters. What is the circle's radius?
Answer:
Step-by-step explanation:
If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.
determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
Treating 20 bald men with a special shampoo and recording how they say their scalp feels
Choose the correct answer below.
A. It is binomial or can be treated as binomial.
B. It is not binomial because the probability of success does not remain the same in all trials.
C. It is not binomial because there are more than two possible outcomes.
D. It is not binomial because there are more than two possible outcomes and the trials are not independent.
The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.
What is binomial distribution?Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.
In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.
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The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years.
Predict the number of households with cable television in year 10.
A) 8.5 million
B) 10.8 million
C) 12.4 million
D) 14.1 milion
In scatter plot, 12 .4 million is the number of households with cable television in year 10.
What is scatter plot?
A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they may display the degree of connection, if any, between the values of observable quantities or events (referred to as variables).
slope = 9 - 5/7 - 1 = 4/6 = 2/3
N - 5 = 2/3 (T - 1 )
N(t) = 2/3 T + 13/3
when t = 11
N(11) = 2/3 * 11 + 13/3
= 35/3
= 12.4
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the point 3 4 is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
The exact values of the six trigonometric functions of the angles are: Sinθ = 4/5, Cosθ = 3/5, Tanθ = 4/3, Secθ = 5/3, Cotθ = 3/4.
The the given question, the point (3, 4) is on the terminal side of an angle in standard position, we have to determine the exact values of the six trigonometric functions of the angle.
The given point is (3, 4).
Let x = 3 and y = 4
Let z be the length of the line segment drawn from the origin to the point.
Now using the Pythagorean Theorem to find the value of z.
z^2 = x^2 + y^2
z^2 = (3)^2 + (4)^2
z^2 = 9+16
z^2 = 25
Taking square root on both side, we get
z = 5
Now finding the exact values of the six trigonometric functions of the angle.
As we know that;
Sinθ = y/z
Sinθ = 4/5
Cosθ = x/h
Cosθ = 3/5
Tanθ = y/x
Tanθ = 4/3
Cscθ = 1/Sinθ
Cscθ = 1/(4/5)
Cscθ = 5/4
Secθ = 1/Cosθ
Secθ = 1/(3/5)
Secθ = 5/3
Cotθ = 1/Tanθ
Cotθ = 1/(4/3)
Cotθ = 3/4
Hence, the exact values of the six trigonometric functions of the angles are: Sinθ = 4/5, Cosθ = 3/5, Tanθ = 4/3, Secθ = 5/3, Cotθ = 3/4.
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outt of every 5 students surveyed 2 listen to country music . At that rate how any students in a school of 800 listen to country music?
Answer:
80
Step-by-step explanation:
800/5= 160
take the results and divide it by 2 and you get 80.
Fun fact: If you put fun fact in front of a statement, people will click on it and read it. (Now answer)
36+14/25
Answer:
the answer is 36+14/25=36.56
girlcome 5324611502
p:here
Answer:
what
Step-by-step explanation:
Answer:
im confused
Step-by-step explanation:
Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47°. Photo Attached
Answer: 1256.63706
Step-by-step explanation: A=(π20)2
The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.
To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:
Area = (1/2) * r^2 * (θ - sinθ)
Where:
r is the radius of the circle (r = 20 in your case).
θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).
Let's calculate it:
θ = 47° * (π / 180) ≈ 0.8203 radians
Now, plug these values into the formula:
Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))
Area ≈ (1/2) * 400 * (0.8203 - 0.7317)
Area ≈ (1/2) * 400 * 0.0886
Area ≈ 17.72 square units
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The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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Calculate the slope of a line that passes through the points (3, -20) and (5,8).
O 6
O4
O 14
O 26
Answer:
Option 3: 14 is the correct answer.
Step-by-step explanation:
Slope is denoted by m and is calculated using the formula:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Here
(x1,y1) are the coordinates of first point and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (3, -20) and
(x2,y2) = (5,8)
Putting the values in the formula, we get
\(m = \frac{8-(-20)}{5-3}\\m = \frac{8+20}{2}\\m = \frac{28}{2}\\m = 14\)
The slope of line passing through points (3, -20) and (5,8) is 14.
Hence,
Option 3: 14 is the correct answer.
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Which is the best estimate for the sum of 2/9 + 10/11?
A 0 + 0 = 0 B 1/2+1/2=1 C 1 + 1 = 2 D 0 + 1 = 1
PLS HELP IM HERE WITH MY FRIENDS !!!
50 POINTS!!!!!!!!
The most accurate calculation for the product of 2, 9, and 11, is 1, or 0 + 1.
Which estimate is the best?Best estimate refers to the figure arrived at by an assessor using deterministic techniques that most accurately captures the anticipated result without optimism or conservatism.
To estimate a number is to round it up to the nearest full number.
We now have February 9 and November 11.
Hence, as 2/9 is closer to 0 than 0.5, we will estimate it to be 0.
Similarly, we will estimate 10/11 as 1 since it is closer to 1 than 0.5.
Hence, 0 + 1 = 1 is the result of adding up their estimates.
In conclusion, 0 + 1 = 1 is the best estimate for the product of the numbers 2/9 and 10/11.
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What is 85% of 30?
It seems to not be working for me
Answer:
25.5
Step-by-step explanation:
Put the digits in your calculator 30×85% and you will get 25.5
need help on problems 1-2
9514 1404 393
Answer:
1. ΔOMN≅ΔMOP ∴ ∠OMN≅∠MOP by CPCTC
2. ΔOSP≅ΔORP ∴ SP≅RP by CPCTC
Step-by-step explanation:
1 and 2
A properly constituted congruence statement lists the congruent vertices of the figures in the same order. That is, the sequence of vertices that make up one angle or segment in one of the figures will match the sequence of vertices that make up the congruent angle or segment in the other figure. The rule that lets you list congruent parts this way is ...
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
In problem 1, the vertices making up the congruent angles are listed 1st, 2nd, and 3rd in the triangle congruence statement: ΔOMN≅ΔMOP.
In problem 2, the vertices identifying the congruent segments are listed 2nd and 3rd in the triangle congruence statement: ΔOSP≅ΔORP.