Answer:
Total number of marbles = 12
P (1 red & 1 orange) =
[tex] \frac{1 + 1}{12} \\ = \frac{2}{12} \\ = \frac{1}{6} \\ = 0.16[/tex]
Answer:solution given:
total no of marbles [S]=12
total no of red marbles[R]=5
total no of green marbles[G]=3
total no of yellow marbles[Y]=2
total no of orange marbles[O]=2
now
the P( red, then orange) n[p]=?
we have
n[p]=[tex] \frac{n[R]+n[O]}{n[S]} [/tex]
n[p]=[tex] \frac{5+2}{12} [/tex]
n[p]=[tex] \frac{7}{12} [/tex]
the P( red, then orange) n[p]=[tex] \frac{7}{12} [/tex]
for the function y=2+5 sin(pi/12(x-2)), what is the maximum value
Answer:
3
Step-by-step explanation:
the maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.
hope this helps
A point charge Q moves on the x-axis in the positive direction with a speed of 280 m/s. A point P is on the y-axis at y = +70 mm. The magnetic field produced at the point P, as the charge moves through the origin, is equal to -0.30 μT . What is the charge Q? (μ0 = 4π × 10-7 T ? m/A)
A) -53 μC
B) +53 μC
C) -39 μC
D) +39 μC
E) +26 μC
c
Step-by-step explanation:
I NEED HELPP MY EXAM
*which statement correctly compares the rates of change of the two functions?
Answer:
Exam??
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Function A) Rate of change is 6 because it represents 'm' from mx (6x).
Function B) Rate of change is 5 because there is an increase of 5 as it moves to the right.
The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.
Answer:
look at the screenshot
Step-by-step explanation:
look at the screenshot
The table for total repayment and interest paid for each loan offer:
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Formula; Simple Interest(I) = P × R × T/100
For the 1-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)
= $37,275
Total interest paid = $37,275 - $35,000
= $2,275
For the 5-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest
= $35,000 + (0.082 x $35,000 x 5)
= $41,570
Total interest paid = $41,570 - $35,000 = $6,570
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
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What is the perimeter of a sandbox that measures 5 feet by 6 feet?
Answer:
22 feet
Step-by-step explanation:
6+5+6+5
= 11+11
= 22
ITS URGENT
Find the missing length of the triangle.
The population, P, of Johnstown over a period of t years since the town
was founded can be estimated by P = 5,600e0.0591
In approximately how many years after the town's founding will the
population reach 11,200?
Answer:
12 years
Step-by-step explanation:
Given that
P = 5,600 e^0.0591
Reaching amount = 11,200
time period = t
We need to find out the time period i.e. t
So,
11,200 = 5,600 e^0.0591t
2 = e^0.0591t
Now take the log on both the sides
ln2 = 0.0591t ln
t = ln2 ÷ 0.059
= 0.693147÷ 0.059
= 11.748
= 12 years
What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 25 units?
Answer:
0 units
Step-by-step explanation:
What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 25 units?
The formula to solve for the sides of a right angled triangle
= Hypotenuse² = Opposite² + Adjacent ²
Hypotenuse = 25 units
One side = 25 units
To find the other side
√ 25² - 25²
= √625 - 625
= √0
= 0 units
The length of the other leg = 0 units
Four people have measured the height of a wall using different methods. Their results are shown in the table. Order their measurements from least to greatest
The height of the wall from the least to the greatest is : [tex]\frac{5}{2}[/tex], 2.6, 1 + √3 , √8
In order to order the numbers from the least to the greatest, all the measurements have to be in the same form.
Currently, there are not so they would need to be changed to the same form.
I would change all numbers to decimals
√8 = 2.83
5/2 = 2.5
2.6
1 + √3 = 1 + 1.73 = 2.73
Now that all the numbers are in decimal, they can now be ordered
[tex]\frac{5}{2}[/tex], 2.6, 1 + √3 , √8
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what is the value of 40 - 3x when x=2
Answer: 34
40-3*2
40-6
34
Answer:
40-3(2)= 40-6=34
Step-by-step explanation:
Please mark brainliest
Question 11 options:
A cone with volume 448 m³ is dilated by a scale factor of 1/4.
The volume of the resulting cone is ___ cubic meters.
Answer:
112
Step-by-step explanation:
The volume is 448 [tex]cm^{3}[/tex]
You are asked to dilate it to a scale factor of 1/4
All you are doing is multiplying: 448/1 × 1/4
Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y = 4x + 5
O y = 4x - 5
O 2y = 8x - 10
O-2y = -8x - 10
a woman sold an article for 400.00and made a profit of 25%,Find ty cost price and profit
Answer:
$100 profit, $300 cost
Step-by-step explanation:
So 25% of $400 is $100, now we know she made $100 on the article
and the other $300 was the amount used to make the article i'm asuming
A woman sold an article for 400.00
made a profit of 25%
Cost price and profit is $100 profit, $300 cost.
What are the 4 types of profit?There are four levels of profit or profit margins: gross profit, operating profit, pre-tax profit, and net profit.
These are reflected on a company's income statement in the following sequence: A company takes in sales revenue, then pays direct costs of the product of service.
What is profit and example?Profit is a term that often describes the financial gain a business receives when revenue surpasses costs and expenses. For example, a child at a lemonade stand spends one quarter to create one cup of lemonade. She then sells the drink for $2. Her profit on the cup of lemonade amounts to $1.75.
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Graph a circle with a center of (3,0) and a diameter of 10. Find the area of the circle both in terms of and to the nearest tenth. Use 3.14 for. Show all work.
you do in your copy what types of teacher teach you
7. A scatter plot was created to show the relationship
between the number of staff members and students
at various schools. The scatter plot's trend line has an
equation of y = 0.1x + 18, where y is the total number
of staff members and x is the total number of
students.
Use the equation to predict the number of students in
a school with 120 staff members.
A. 1,038 students
B. 30 students
C. 890 students
D. 1,020 students
Answer:
1020 students
Step-by-step explanation:
Given the trend line equation :
y = 0.1x + 18,
where y is the total number of staff members and x is the total number of students.
Using the equation, the predicted number of students in a school with 120 staffs ;
y = 120
y = 0.1x + 18
120 = 0.1x + 18
120 - 18 = 0.1x
102 = 0.1x
x = 102 / 0.1
= 1020 students
Find the unknown angle ( please help)
Answer:
15) 30°
16) 49.5°
Step-by-step explanation:
15) We solve using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = 12
Hypotenuse = 24
sinθ = 12/24
θ = arc sin(12/24)
= 30°
Approximately = 30°
16)We solve using the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = 13
Hypotenuse = 20
cos θ = 13/20
θ = arc cos (13/20)
= 49.458398126°
Approximately = 49.5°
What is quotient of 2x3 + 3x2 + 5x - 4 divided by x2 + x + 1
The quotient is the outcome of the division one number or expression known as the dividend, by another number or expression known as the divisor
The option that gives the correct quotient is;
[tex]\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}[/tex]
Where, the quotient is 2·x + 1, and the reminder is 2·x - 5
The reason the above option is correct is as follows:
The given dividend is 2·x³ + 3·x² + 5·x - 4
The divisor is x² + x + 1
By long division of a polynomial we have;
2·x + 1(Quotient)
(2·x³ + 3·x² + 5·x - 4) ÷ (x² + x + 1 )
2·x³ + 2·x² + 2·x
0 + x² + 3·x - 4
[tex]{}[/tex] x² + x + 1
[tex]{}[/tex] 0 + 2·x - 5
Therefore, we have;
[tex]\dfrac{2\cdot x^3 + 3 \cdot x^2 + 5 \cdot x - 4}{x^2 + x + 1} = 2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}[/tex]
Therefore, the correct option is;
[tex]\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}[/tex]
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Integers Multiple Choice Read the word problem and circle the corresponding expression. 1. Jaimie withdrew $25 from his TFSA (Tax-Free Savings Account), 4 times. Which expression shows the change in his savings account?
a) (-25)(4)
b) (-25)(-4)
c) −25 4
d) 25 4 2.
Answer:
a) (-25)(4)
Step-by-step explanation:
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. In this case,
withdrew means no longer there which means subtracted.
Then, times mean multiply.
Therefore, -minus twenty-five times (x) four
combine them and it equals (-25)(4)
Ryan buys some jumpers to sell on a stall.
He spends £160 buying 80 jumpers.
He sells 75% of the jumpers for £10 each.
He then puts the rest of the jumpers on a Buy one get one half price offer.
He manages to sell half the remaining jumpers using this offer.
How much profit does Ryan make?
Answer:
£540
Step-by-step explanation:
I worked it out let me know if you want me to upload a picture of my workings
The sum of five consecutive integers is 185. What is the mean of these five integers?
35, 36, 37, 38, 39 the mean is 37 the median is also 37
How would I graph these on the plot please help :)
Answer:
A for example. The points is "(5,1)". The 5 would be on the x-axis while you put it on the y-axis. The 1 would be put on the y-axis while you put it on the x-axis. So you would go over 5 and up 1, not up 5 and over 1.
Step-by-step explanation:
Translate the sentence into an equation.
Four times the sum of a number and 6 equals 9.
Use the variable c for the unknown number.
Answer:
4c + 6 = 9
I hope this helps
3/7 x 2 help need asap
Answer:
3/7 × 2
= 6/7
= 0.857.
Step-by-step explanation:
°•°•°•°•°•°•°•°•°•
Solve the system of equations.
5y - 4x = -7
2y + 4x = 14
X =
Y =
Answer:
5y + 2y - 4x + 4x = -7 +14
7y = 7
y = 1
2(1) + 4x = 14
4x = 12
x = 3
Step-by-step explanation:
Using the process of elimination
Add both equations. The 4x will be eliminated since one is positive and one is negative. The equation is left with only the y variable and the constant.
When y is found, input it into the second equation to find x.
what is 654,984 × 548,784,844 × 99,999 ?
Answer:
3.594417e+19
Step-by-step explanation:
What is the value of s?
C
units
5
B
8
15
А.
D
Answer:
S= 17
Step-by-step explanation:
Δ ABD is a right angle
[tex]S^{2} =8^{2}+15^{2}[/tex]
[tex]S=\sqrt{8^{2}+15^{2} }[/tex]
[tex]S=\sqrt{64+225} =\sqrt{289}[/tex]
[tex]S=17[/tex]
hope it helps...
have a great day!!
Find m I'll give brainiest to the correct answer!
Answer:
S V W and if you rotate it the W would be an M
Step-by-step explanation:
HELPP QUICK NO BOTS I WILL REPORT BUT HELP QUICK PLSS What is the slope-intercept equation of the line below?
y-intercept = (0,2)
slope = -1
Answer:
y= -x+2
Step-by-step explanation:
just plug that equation in to see for yourself
Using 5 miles = 8 km, write 2 m/s in mph.
Give your answer as a decimal.
Answer:
4.5 mph
Step-by-step explanation:
2 m/s = (2 m/s)(60)(60) = 7200 m/h or 7.2 km/hr
if 5 miles = 8 km, then 1 km = 0.625 miles
7.2 x 0.625 = 4.5 mph
The radius of a circle is 10 inches. What is the angle measure of an arc bounding a sector with area 10π square inches?
Answer:
Step-by-step explanation:
hello :
the arc length formula is : s = 2πr(θ/360°)
given : area : s = 10 , radius : r = 10
2(3.14)(10)(θ/360°)=10 solve for : θ
2(3.14)(θ/360°)=1
θ = 360°/6.28
θ = 57°.32