Answer:
next 3 terms are 17,20,23
Step-by-step explanation:
to get from 5 to 8 you add 3
14+3=17
17+3=20
20+3=23
Answer:
17, 20, 23
Step-by-step explanation:
The pattern is that 3 is added every time.
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.
That means that the next terms will be
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
Fine the UNIT RATE: 8 apples for $3
You can't do that, it doesn't divide out evenly
A..38
B..375
C.2.6666.......
D.2.67
Answer:
d
Step-by-step explanation:
8/3
Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.
Answer:
Number of students who do not know = 24
Step-by-step explanation:
Year II students = 240
15% of the students want to go to college.
Number of year II students who wants to go to college = 15% of 240
= 15/100 × 240
= 0.15 × 240
= 36
¾ of the students want to stay at school.
Number of students who wants to stay at the school = 3/4 × 240
= (3 × 240) / 4
= 720 / 4
= 180
Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school
= 240 - 36 - 180
= 24
Number of students who do not know = 24
HELP ME PLEASE!!!
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1.
The number –6 is less than 0.
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)
Answer:
Option A "4(-7k+16k+3)" would be the appropriate choice.
Step-by-step explanation:
On solving the equation, we get
⇒ [tex]4(-7k+16k+3)[/tex]
On applying BODMAS rule, we get
⇒ [tex]4(9k+3)[/tex]
Therefore,
⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]
All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.
The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?
Answer:
4/15~15.5
Step-by-step explanation:
In a right triangle, the sum of the squares of the
lengths of the legs is equal to the square of the length
of the hypotenuse. The length of the hypotenuse is 16
and the lengths of the legs are 4 and x.
An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t) = 20,000 (1.08)^t where t represents time in years and P(t) represents the elk population. What is the estimated population of elk in 6 years?
Answer:
The answer would be 31,737 elks.
Step-by-step explanation:
You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.
I hope this helps
1/2x+y = 3
y = 3x + 10
Solve using substitution
Answer:
(-2,4)
x = -2 y = 4
I hope this helps
Can someone explain slope intercept form as simple as possible? Formula: y=mx+b
Ok y is your y value from any point on the graph m is your slope x is the x value of any point from the graph and b is your y intercept that is where the line cross in the y line that is the vertical line in the graph
Answer:
As simple as possible, it's a form of linear equations.
Step-by-step explanation:
The formula, y = mx + b, can be dissected to get the slope and y-intercept of a linear equation where:
m = slope
b = y-intercept
(x and y can be substituted for any point)
If you have any more questions, feel free to ask. Hope this helps!
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
8. Find the x and y intercepts. 6x + 12y = 24
Answer:
x - intercept: 4
y - intercept: 2
Step-by-step explanation:
The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.
The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.
Bridget's Café has a regular coffee decaffeinated coffee . This morning the cafe served 80 count coffee’s and all 48 which were regular what percentage of a coffee were regular
9514 1404 393
Answer:
60%
Step-by-step explanation:
Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...
48/80 × 100% = 60%
60% of the 80 coffees served were regular.
Anna mixes purple and pink dye to create lavander. For every 8 tsp of purple dye, Anna adds 3 tsp of pink dye. Which statement about the relationship between the purple dye and pink dye is true
Answer:
8 tsp purple : 3 tsp pink
Step-by-step explanation:
if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!
Answer:
61,000
Step-by-step explanation:
Move it 4 places to the right.
The following table shows the expressions that represent the sales of two companies:
Company: А B
Sales: 110(0.70)^x 430(1.90)^x
Which company has the largest percent of increase?
-Company A
-Company B
-Both Company A and Company B
-Neither Company A nor Company B
9514 1404 393
Answer:
company B
Step-by-step explanation:
The growth rate is 1 less than the growth factor. The growth factor is the base of the exponential term.
Company A
growth factor: 0.70
growth rate: 0.70 -1 = -0.30 = -30%
__
Company B
growth factor: 1.90
growth rate: 1.90 -1 = 0.90 = 90%
__
Company B has a higher growth rate than Company A. (Company A has decreasing sales, not increasing.)
Company B has a higher growth rate than Company A.
find the x in the given triangle, step by step explanation please
Answer:
x = 42.67
Step-by-step explanation:
x + 2x + 7 + 45 = (3 - 2) * 180
3x + 52 = 180
- 52 - 52
3x = 128
/ 3 / 3
x = 42.67
The population of Salisa is 12,500 and increases by 300 each month. The population of Corsair is 13,200 and increases by 200 each month. How many months will it take until the population of the two cities is the same?
It will take seven months for the population of each city to be the same.
On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)
On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Answer:
45 mph
Step-by-step explanation:
3/4x60=45
Please help will mark as brilliant<3
Please help me with this question I need the answer
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
exposed clout chaser
PLEASE HELP! I WILL GIVE BRAINLIEST!
According to the formula pi r squared, for a circle with a radius of one unit the area equals pi.
For a circle with a radius of two units the area equals four pi. Ans = 16 pi units squared
For a circle with a radius of three units the area is nine pi.
A = 25 pi units squared, 36 pi units squared, 49 pi units squared... to 100 pi units squared.
So try this... given the formula for circumference of a circle C = pi * d or C = 2 p* r
What are the circumferences for these circles....
r = 1 unit
r = 2 units
r = 3 units
Now finish the pattern to r = 10 units...
Answer:
2pi, 4pi, 6pi, 8pi, 10pi, 12pi, 14pi, 16pi, 18pi, 20pi
Step-by-step explanation:
Formula used=2p*r
Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
Answer:
Yes it is.
Step-by-step explanation:
Best way is to use percentages you know when estimating.
We know 50% is half.
50% of 242 is 121.
So it has to be more than 121.
10% of 242 is 24.2 so add that to 121 and you get 145.2
You are 60% so far. You just need 9% more.
Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.
Answer:
[tex]c=5d+50[/tex]
Step-by-step explanation:
Given that:
Supplies of the lemonade bought at price = $50
Money paid per day to setup lemonade stand at the park = $5
To find:
Equation of her total cost.
Solution:
Let the number of days = [tex]d[/tex]
Per day cost of setting up the lemonade stand is given as $5.
If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.
Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]
Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:
[tex]c=5d+50[/tex]
JRJSOWNDNFNEOSLDNFBWKWLND
Answer:
Step-by-step explanation:
the 1 one is the right one
Answer:
A. The afternoon temperature was 5 degrees above the night temperature
Step-by-step explanation:
have a nice day
I need help!!!!
Answer:
A. 1.50 dollars per kilogram
B. 1.80 dollars per kilogram.
C. 2.10 dollars per kilogram
D. 2.40 dollars per
kilogram.
Answer:
The average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Step-by-step explanation:
From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.
The price of 100 kg cumin = $450
The price of 600 kg cumin = $1650
so
at x₁ = 100, f(x₁) = 450
at x₂ = 600, f(x₂) = 1650
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [1650 - 450] / [600-100]
= 1200 / 500
= 2.4
Therefore, the average rate will be 2.40 dollars per kg.
Hence, option D is correct.
PLEASE HELP
An 18 ounce jar contains 510 grams of grape jelly. How many kilograms of grape jelly does the jar contain?
1 kg = 1000 grams
A) 5.1 kg
B) 0.52 kg
C) 0.51 kg
D) 51 kg
Answer:
the answer is 5.1 killograms
Step-by-step explanation:
hope this helps