Jose spent $34.50 on a bike rental in Miami, Florida. The rental store charged a base fee of $8.50 for the first hour, and an hourly rate of $3.25 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.
Answer:
8.5+2.25x=34.5
edit***
18.25+3.25h=34.5
what is the simplified expression for -2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
Answer:
Step-by-step explanation:
Hello,
[tex]-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)\\\\=-2a^2b+a^2-5ab+3ab^2-b^2+2a^2b+4ab\\\\=a^2+3ab^2-ab-b^2[/tex]
Thanks
The length of XY is 24 centimeters. The midpoint of XY is M, and C is on XM so that XD is 2/3 of XM. Point D is on MY so that MD is 3/4 of MY. What is the length of CD?
The length of CD is centimeters
Answer:
CD = 13 cm
Step-by-step explanation:
We assume you intend XC = 2/3 of XM, since XD cannot be that fraction of XM.
__
Of course XM = MY = 12, since M is the midpoint of a segment 24 cm long. Then 2/3 of XM is 8 cm, and 3/4 of MY is 9 cm.
CD = CM + MD = 4 cm + 9 cm
CD = 13 cm
znajdź wszystkie rozwiązania
x^4-16=0
A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
Step-by-step explanation:
si el perímetro del círculo es 10π,determina el perímetro del rectángulo
Probenecid is a drug used by some athletes to prevent the excretion of other substances into urine, thus lowering their detectable concentrations. A scientist makes three measurements of a urine sample known to contain probenecid and obtains a confidence interval of 11.8±0.5 mg/L at the 95% confidence level. What would happen to the confidence interval at the same confidence level if the number of measurements is increased to 10 assuming the standard deviation remains the same?
Answer:
The confidence interval will decrease
Step-by-step explanation:
Generally the confidence interval is mathematically represented as
[tex]\= x \pm z_c * \frac{s}{\sqrt{n} }[/tex]
Here [tex]z_c[/tex] is called the critical value of [tex]\frac{level \ of \ significance }{2}[/tex] obtained from the normal distribution table , s is the standard deviation , n is the sample size (number of measurements )
Now looking at the formula we that if the increase the sample size that the confidence level would decrease
So if the n is increased to 10
The confidence interval would decrease
(c) Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect
Answer:
The probability is 0.357
Step-by-step explanation:
Given that,
The system has at least one type of defect,
Suppose, A certain system can experience three different types of defects.
Let [tex]A_{i}[/tex] (i = 1,2,3) denote the event that the system has a defect of type i.
Suppose that the following probabilities are,
[tex]P(A_{1})=0.11[/tex]
[tex]P(A_{2})=0.08[/tex]
[tex]P(A_{3})=0.05[/tex]
[tex]P(A_{1}\cup A_{2})=0.13[/tex]
[tex]P(A_{1}\cup A_{3})=0.13[/tex]
[tex]P(A_{2}\cup A_{3})=0.11[/tex]
[tex]P(A_{1}\cap A_{2}\cap A_{3})=0.01[/tex]
[tex]P(A_{1}\cap A_{2})=0.06[/tex]
[tex]P(A_{1}\cap A_{3})=0.03[/tex]
[tex]P(A_{2}\cap A_{3})=0.02[/tex]
[tex]P(A_{1}\cup A_{2}\cup A_{3})=0.14[/tex]
We need to calculate the probability that it has exactly one type of defect
Using given data
[tex]P=\dfrac{P(A_{1}\cap A_{2}'\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}'\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
[tex]P=\dfrac{P(A_{1})-P(A_{1}\cap A_{2})-P(A_{1}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex] + [tex]\dfrac{P(A_{2})-P(A_{1}\cap A_{2})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]+ [tex]\dfrac{P(A_{3})-P(A_{1}\cap A_{3})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
P = [tex]\dfrac{P(A_{1})+P(A_{2})+P(A_{3})-2P(A_{1}\cap A_{2})-2P(A_{1}\cap A_{3})-2P(A_{2}\cap A_{3})+3P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
Put the value into the formula
[tex]P=\dfrac{0.11+0.08+0.05-2(0.06)-2(0.03)-2(0.02)+3(0.01)}{0.14}[/tex]
[tex]P=0.357[/tex]
Hence, The probability is 0.357
The perimeter of a playing field for a certain sport is 190 ft. The field is a rectangle, and the length is 43 ft longer than the width. Find the dimensions
Answer:
2(L+w) = 190ft (Perimeter)
L + W = 95ft (190 divided by 2)
L = W + 43ft (Given)
W + 43 + W = 95ft
2W + 43 = 95ft
2W = 52ft
W = 26ft
L = 26ft + 43 = 69ft
Answer: The feild is 69ft by 26ft
Hope this helps!!!
- Jarrett Lane
A.
Write an expression for the perimeter?
B.
Write an expression for area
C.
Write Both as equations
Answer:
A. x+2+x+2
B. 2(x)
C. x+2+x+2=p
2(x)= a
Determine what to add to make the trinomial a perfect square. x2+8x+___
Answer: 16
Step-by-step explanation:
For a perfect square each factor is identical.
Now, we have to find a number that adds to get 8.
The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.
Now, we know that the missing number is 16.
A car is advertised as $288/month for 72 months. What is the cost of the car?
To
$14,400
$20,736
O
$28,800
O $17,280
Answer:
$20,736
Step-by-step explanation:
When these kind of advertisements are displayed,, it means the EMI cost per month shall be $288.
Since it provides the time period, that is 72 months,
Total cost of car in this case shall be $288 [tex]\times[/tex] 72 months = $20,736
Also, these include an interest factor, but overall it is = $20,736 only,
If one down payment for full price of the car is made the cost shall reduce by the interest amount, but since no interest rate is provided it shall be ignored.
Matt is measuring the length of bacterial cells. The first 8 cells that he measures are 3 micrometers. The next 12 cells that he measures are 2 micrometers. What is the average length in micrometers of the bacterial cells that Matt has looked at?
The freeman family is barbecuing veggi burgers corn on the cobs and mushrooms caps in their local park if 3/8 of the items are barbecued are veggie burgers and 1/3 of the items are barbecued are corn on the cobs what fraction of barbecued items are mushrooms caps
Answer:
7/24
Step-by-step explanation:
1. Original numbers are rounded to the nearest hundred and to the nearest thousand. The
original numbers are different from all the rounded numbers in the table.
Complete the table with possible original numbers.
Original Number
Rounded to the Nearest
Hundred
13,600
Rounded to the Nearest
Thousand
14,000
2,400
2,000
Answer:
Your answer would be 14,000
Answer:13,555
Step-by-step explanation: because in order for it to be rounded to the nearest 100 of 600 it would have to be over 550. If it was 550 or lower it would be rounded to 500. And in order for it to be rounded to the nearest thousand of 14,000 it would have to be a higher number than 13,550.
What is the value of y?
Answer:
y = 40
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
y+10 + 2y +50 = 180
3y+60 = 180
Subtract 60 from each side
3y+60-60 = 180-60
3y = 120
Divide each side by 3
3y/3 = 120/3
y = 40
Solve -6(4-x)≤-4(x+1) for x
No silly answers please.
Answer:
x≤2
Step-by-step explanation:
Answer:
x ≤ 2
Step-by-step explanation:
well, -6 x 4 = -24
-6 x X = -6x
so far, we have -24 -6x ≤-4(x+1)
-4 x X = -4x
and -4 x 1 = -4 , so we now have -24 -6x ≤ -4x + -4
now we subtract x on one side, and to the other side as well, and you do the same for the numbers!
help me please this is due today :(:
Answer:
F(-6, 3) --> F'(-6,3)
G(-4,3) --> G'(-8,3)
H(-2,4) --> H'(-10,4)
Answer:
F(-6,3)
G(-8,3)
H(-10,4)
Step-by-step explanation:
If your reflecting over the red line then all I do is first try to recreate the shape on the other side of the red line. (Like a reflection) And then look at the points it landed on. And that's your answer
i need alot of help plzzzzzz 50 points and ill give brainliest
Answer:
y=4
y=8
y=12
y=16
2)4=19
5=22
addition of 3 to each value
3)17
4)3a^2
5)a^4
6)1
7)An arithmetic sequence is such that the difference between any term and the one immediately preceeding it is constant.
8)A geometric sequence is such in which each term is a constant multiple of its preceeding.
9)1.25
10)B.
Answer:
y=4
y=8
y=12
y=16
2)4=19
5=22
addition of 3 to each value
3)17
4)3a^2
5)a^4
6)1
7)An arithmetic sequence is such that the difference between any term and the one immediately proceeding it is constant.
8)A geometric sequence is such in which each term is a constant multiple of its proceeding.
9)1.25
10)B.
Step-by-step explanation:
the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?
Answer:
9.
Step-by-step explanation:
I am assuming that the two numbers are positive.
Let the numbers be 3x and 7x.
Then 3x * 7x = 19
21x^2 = 189
x^2 = 9
x = 3.
So the smaller of these numbers is 3*3 = 9.
Answer:
9 if that does not work try - 21
Step-by-step explanation:
Let the two numbers be x and y
x/y = 3/7 which means that x is the smaller number.
x*y = 189
Cross multiply the top equation
7x = 3y
Divide by 7
x = 3/7 ^ y
x*y = 189
(3/7 y) * y = 189
Multiply by 7
3y^2 = 189*7
3y^2 = 1323
Divide by 3
y^2 = 441
Take the square root of both sides
y = 21
The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.
x = 3/7 * 21
x = 3*3
x = 9
Check
x*y = 9 * 21 = 189
Pls help with the explanation and answer ty!
It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined? ( need help )
By dividing 35 by 7.
By multiplying 35 by 7.
By finding the unit rate and dividing it by 7.
By finding the unit rate and multiplying it by 7.
To determine the number of seconds it would take Dariya to download 7 songs at the same rate, we first find the unit rate and multiply it by 7.
Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.
Unit Rate = 7second/song.
Time to download 7 songs = 49 seconds.
What do we mean by unit rate?A unit rate is a quantity taken for a unit of another quantity.
How do we solve the given question?We are given that it takes Dariya 35 seconds to download 5 songs from the Internet. We are asked about the time it will take Dariya to download y songs at the same rate.
We will first determine the unit rate of the time taken for downloading a song.
5 songs take 35 seconds.
∴ 1 song takes 35/5 = 7 seconds.
∴ Unit rate is 7seconds/song.
Now to determine the time for downloading 7 songs, we multiply the unit rate by 7.
∴ Time taken to download 7 songs = 7 songs * unit rate
or, Time taken to download 7 songs = 7 songs * 7 second/song
or, Time taken to download 7 songs = 49 seconds.
∴ To determine the number of seconds it would take Dariya to download 7 songs at the same rate, we first find the unit rate and multiply it by 7.
Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.
Learn more about the unit rate at
https://brainly.com/question/620388
#SPJ2
Use rounding (to the nearest 10) to estimate the product of 3217 X 44.
The required, when rounded to the nearest 10, the estimated product of 3217 × 44 is 128,800.
What is the product?In mathematics, products are defined as the repetitive addition of a value a number of times to another value.
Here,
To estimate the product of 3217 × 44 by rounding to the nearest 10, we can round each number to the nearest 10 and then multiply:
3217 rounds to 3220
44 rounds to 40
So we can estimate the product as:
3220 × 40 = 128,800
Therefore, when rounded to the nearest 10, the estimated product of 3217 x 44 is 128,800.
Learn more about the products here: https://brainly.com/question/10585362
#SPJ2
Which term of the AP : 8, 13, 18, 23, 28, ... is 6 times the 7 th term?
(2) 15th
(1) 35th
(3) 25th
(4) 45th
Introduction to Interval Notation
What is the domain and range?
2.
The domain of this function is 3≤x≤5 in interval notation that is [3,5]
The range is -3≤y≤3. In interval notation that is [-3,3]
4.
The domain of this function is -5≤x≤-1 in interval notation that is [-5,-1]
The range is 1≤y≤5. In interval notation that is [1,5]
:)
Solve 3(x - 1) + 2 = 5x + 6, Answer is a decimal round to the hundredth (2 digits) or use / for fraction bar.
Answer:
x=-3.5
Step-by-step explanation:
3(x-1)+2=5x+6
3x-3+2=5x+6
3x-1=5x+6
3x-5x=6+1
-2x=7
[tex] - \frac{7}{2} [/tex]
x=-3.5
Below are the pre-image and image a trapezoid. Choose the correct name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation
Answer:
I think it's a 90 degree rotation
3x – 2y+3
3y - 2x
X=7 Y=6
......................................................
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 * (x +2)
= 10*x + 10*2
= 10x + 20 square units
Area of triangle = [tex]\frac{1}{2}*bh[/tex]
[tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]
= (x + 4) square units
Area of rectangle = 8* area of triangle
10x + 20 = 8 *( x+ 4)
10x + 20 = 8x + 32
Subtract 20 form both sides.
10x = 8x + 32 - 20
10x = 8x + 12
Subtract 8x form both sides
10x - 8x = 12
2x = 12
Divide both sides by 2
2x/2 = 12/2
x = 6
Solve for x. 6x−24=x−2
Answer:
22/5
Step-by-step explanation:
6x-24=x-2
6x-x=-2+24
5x=22
x=22/5