Answer:
k=3/2Step-by-step explanation:
the first point with whole numbers is (2,3), the next is (4,6), then (6,9). from this, we can make a chart
[tex]\frac{x}{y}\frac{2}{3}\frac{4}{6}\frac{6}{9}[/tex] **pretend this is a chart
Remember the formula y=kx. (k means constant)
we need k by itself, so divide by x on both sides
[tex]\frac{y}{x} =k[/tex]
Now substitute in values from the table in place of x&y
It is best to start with the largest pair (as long as the numbers are easy to deal with)
[tex]\frac{9}{6} =k[/tex]
Now simplify that fraction
[tex]\frac{9}{6} becomes\frac{6}{4} becomes\frac{3}{2}[/tex]
if all of the pairs simplify to the same thing, that is the Constant of Proportionality.Answer:
k=3/2
Step-by-step explanation:
In a research experiment, the population of a colony of bacteria doubles every hour. The population, f() of the colony atter z hours can be modeled by the function () - 25.2" What values for the domain are reasonable in the given
context
Answer:99
4/2ndjsjhowkllsnlove u
P=15,000, r=8%, t=30 days. Find the simple interes owed for the use of the money. Assume 360 days
Answer:
Step-by-step explanation:
$15,000×0.08 = $1,200 interest for 360 days
$1,200 × 30/360 = $100 interest
please answer!
Find the value of x.
115°
150°
thank you :)
Answer:
35 degrees
Step-by-step explanation:
180-150=30
115+30=145
180-145=35
35
Answer:
360 degrees - 150degrees =110 degrees
add 110 and 115 degrees to get 225 degrees
next subtract 360 - 225= 135 degrees
so x equals 135
Step-by-step explanation:
can i have brainliest
can you help me with all these I want to know if they're right!!!!!!!!!!!!!!!!?????????????????
Answer:
they are right and your smart don't second guess yourself
Step-by-step explanation:
in this equation what do i have to change to make x equal 0 instead of 1/4
2√x+4-2=3
Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.
Answer:
x = 7
y = 8
Step-by-step explanation:
The following data were obtained from the question:
Data => 4, 6, х, y, 10
Mean = Median
x =?
y =?
Next, we shall determine the mean of the data. This can be obtained as follow:
Data => 4, 6, х, y, 10
Mean =?
Mean = summation of data / number of data
Mean = 4 + 6 + х + y + 10 / 5
Mean = 20 + х + y / 5
Next, we shall determine the median of the data. This can be obtained as follow:
Data => 4, 6, х, y, 10
Median =?
Median = the middle term of data
Median = x
Next, we shall equate the mean and median. This can be obtained as follow:
Mean = 20 + х + y / 5
Median = x
Mean = Median
20 + х + y / 5 = x
Cross multiply
20 + х + y = 5x
Collect like terms
20 + y = 5x – x
20 + y = 4x
Make y the subject
y = 4x – 20
Case 1
Let x = 7
y = 4x – 20
y = 4(7) – 20
y = 28 – 20
y = 8
Mean = 20 + х + y / 5
Mean = 20 + 7 + 8 / 5
Mean = 35/5
Mean = 7
Median = x
x = 7
Median = 7
Mean = median = x = 7
Case 2:
Let x = 8
y = 4x – 20
y = 4(8) – 20
y = 32 – 20
y = 12
We can see that y is 12 which means that the data (i.e 4, 6, х, y, 10) would become 4, 6, х, 10, y. But from the question, we were told that the data (i.e 4, 6, х, y, 10) is in order. Therefore if y is 12, the order would be altered.! And this is not acceptable.
From the above illustration, we can conclude that:
x = 7
y = 8
What is the value of DOB in this figure? Please help me
Answer:
48degrees
Step-by-step explanation:
108+(2n+n)= 180. - ( supplementary angles)
n= 24
DOB=2n= 2*24= 48degrees
3/4K - 5/6m - 1/4K + 2/3m
*simplify
(EDITED) Answer:
1/2k - 1/6m
2/4K + (-1/6) m
Answer:
1/2K - 1/6m
Step-by-step explanation:
You can combine the ones with the same variable.
First, rearrange the equation:
3/4K - 1/4K - 5/6m + 2/3m
Then simplify each part
1/2K - 1/6m
A.find the price elasticity of demand at the equilibrium points? quantity demand=72-8p and quantity supply=-24 +24p. B.substitutes the equation.
Answer:
p = 3
Step-by-step explanation:
The price elasticity of demand at the equilibrium points occurs when quantity demand equals quantity supply.
So,
72-8p= -24 +24p
Taking like terms together,
72+24 = 24p+8p
96 = 32p
p = 3
Hence, the price elasticity of demand is at p = 3.
Solve by graphing.
x + 3y = -9
5x + 3y = 3
Answer:
Step-by-step explanation:
The solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].
In this question, we notice that given system of linear equations consist of two equations and two variables, which means that solution is unique and can be found by graphic means. We proceed to graph each line with a graphing tool and label the point, in which both lines intersect each other.
The outcome from the graphing tool is presented below as attachment. In a nutshell, the solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].
We kindly invite you to see this question related to systems of linear equations: https://brainly.com/question/13647755
COMPLETE THE SEQUENCES.
1- 0, 16, 32, 48, 64,_,_,_,
2- 2,9, 11, 18, 20, 27,_,_,_,
SOMEONE PLEASE HELP ME
Answer:
0,16,32,48,64,80,96,112
2,9,11,18,20,27,29,36,38
Step-by-step explanation:
1.Counting by 16
2. Counting by 7 and 2
At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of this building, using the scale factor 1:250.
To the nearest tenth of a meter, what will be the height of the scale model?
Enter your answer as a decimal in the box.
given 90 points for answering, thank you!
Answer:
0.8 meters
Step-by-step explanation:
The scale factor is 1:250 (can be rewritten as 1/250 or 1 to 250).
1/250 × 212 = 0.848 Meters
Round to the nearest tenth, the scale model will be 0.8 meters.
OR: SET UP A PROPORTION:
[tex] \frac{250}{1} \times \frac{212}{x} [/tex]
cross-multiply
[tex]250x = 212[/tex]
[tex]x = 0.848[/tex]
Answer:
0.8
Step-by-step explanation:
ye
What is the arc measure of minor arc AB in degrees?
Answer:
[tex] m\widehat{AB} =55 \degree[/tex]
Step-by-step explanation:
[tex] \because m\angle APC=m\angle DPE[/tex]
(Vertical angles)
[tex] \therefore m\widehat {ABC} =m\widehat {DE} [/tex]
(Measure of minor arc is equal to the measure of it's corresponding central angle)
[tex] \therefore m\widehat {AB}+m\widehat {BC} = m\widehat {DE} [/tex]
[tex]\therefore m\widehat{AB} = m\widehat {DE} - m\widehat {BC} \\ \\ m\widehat{AB} =93 \degree - 38 \degree \\ \\ m\widehat{AB} =55 \degree[/tex]
100 POINTS PLZ HELP ME
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
$$
A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.
Answer:
I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate
Step-by-step explanation:
if you add a graph, ill edit my answer
hope this helps!
I need help the question is solve the equation n+75=155
Answer:
80
Step-by-step explanation:
155-75=80
Can someone please help with these two questions please?
1. Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is V = 4/3r^3 and its surface area is 4r^2. Determine the rate of change in surface area at t = 2 min, assuming that r = 16 at t = 0.
2. A conical tank has height 3 m and radius 2 m at the top. Water level is rising at a rate of 2.1 m/min when it is 1.8 m from the bottom of the tank. At what rate is water flowing in? (Round your answer to three decimal places.)
Answer:
Step-by-step explanation:
S=4πr²
ds/dt=4π×2r×dr/dt=8πr dr/dt
dr/dt=60 cm/min
ds/dt=8π×60r=480πr
r=16,t=0
at t=2,r=16+32=48 cm
so ds/dt=480π×48=23040 πcm²≈72382.79 cm²
2.
[tex]V=\frac{1}{3} \pi r^2*h\\\frac{r}{h} =\frac{2}{3} \\r=\frac{2}{3} h\\V=\frac{1}{3} \pi( \frac{2}{3} *h)^2h\\V=\frac{4}{27} \pi h^3\\\frac{dV}{dt} =\frac{4}{27}\pi *3h^2\frac{dh}{dt} \\\\when ~h=1.8 ~m,\frac{dh}{dt} =2.1~m/min\\\frac{dV}{dt} =\frac{4}{9}\pi h^2\frac{dh}{dt} =\frac{4}{9} \pi*(1.8)^2*2.1=27.216 \pi \approx 85.502 m^3[/tex]
A sailboat travels 3 miles in 1.5 hours. How far does it travel in 2 hours?
Help I’ll mark you brainly!!
the numbers to the questions are on the top left corner of each bubble, hope this helps!
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select
three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
17 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Answer:
6 feet by 5 feet by 3 feet
17 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
Please help it’s just one question!!
a. m
5=157=218=2410=30hope it helps.
there are 84 girls in grade 3.the boys are twice the numbers of girls. how many pupils are there in all in grade 3?
Answer:
252
Step-by-step explanation:
Girls = 84
Boys = 84 * 2 = 168
Total = 252
Answer:
Step-by-step explanation:
no of girls in grade 3 = 84
by the question no of boys are twice the number of girls so
no of boys = 2 * 84 = 168
Total no of pupil in grade 3
= 168 + 84
= 252
hope it will help :)
help quick ? math problems (geometry) only answer if you know
z + y2
for y = 6 and z = 1
Answer:
37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
z + y²
y = 6
z = 1
Step 2: Evaluate
Substitute in variables: 1 + 6²Evaluate exponents: 1 + 36Add: 37Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
B = 243°
Step-by-step explanation:
Full revolution = 360°
360 - 117 = 243
Answer:
243 degrees
Step-by-step explanation:
The angle of a full circle = 360 degrees
360 - 117 = 243
The graph of y= -x2+3x-2 is shown. The ZERO(S) of the function is/ are?
A. -2
B. -2, 2
C. -2, 1, 2
D. 1, 2
answer right and good review
Subtract. 6x^2 - 5x + 3 minus (3x^2 + 8x - 4)
Answer:
=3x^2−13x+7
Step-by-step explanation:
6x2−5x+3−(3x2+8x−4)
=6x^2−5x+3+−1(3x^2+8x−4)
=6x^2+−5x+3+−1(3x^2)+−1(8x)+(−1)(−4)
=6x^2+−5x+3+−3x^2+−8x+4
=6x^2+−5x+3+−3x^2+−8x+4
=(6x^2+−3x^2)+(−5x+−8x)+(3+4)
=3x^2+−13x+7
Can you give me Brainliest please.
Unit price $5 for 60lb bag
Answer:
12 per one bag
Step-by-step explanation:
60lb bag divided by the amount it costs which is $5.
Which equals $12.
Answer:
$1/12lb
Step-by-step explanation:
Divide 60 by 5.
George wants to borrow $30,000 to purchase a car. After looking at a monthly budget he realizes that all he can afford to pay per month is $350. The dealership is offering a 4.77% loan. When George hears how much interest he will pay over the life of the loan, he decides to cut back on his entertainment expenses and pay $400 per month. How much in interest will George save by paying an extra $50 per month? Hint: Round any loan length calculations to the nearest quarter of a year.
Answer:
$8,670
Step-by-step explanation:
George will save $1,431 in interest by paying an extra $50 per month.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
First, you need to calculate the length of the loan in years.
Since George can afford to pay $350 per month, and he wants to borrow $30,000, the length of the loan in months is 30,000 / 350 = 85.71428571 months.
To convert this to years, you can divide the number of months by 12: 85.71428571 months / 12 months/year = 7.142857143 years.
You should round this to the nearest quarter of a year, which is 7.25 years.
Next, you need to calculate the total amount of interest that George will pay over the course of the loan. To do this, you can use the formula:
interest = principal x rate x time
In this formula, "principal" is the amount of money that George is borrowing, "rate" is the interest rate of the loan, and "time" is the length of the loan in years. Plugging in the values that you know, you get:
interest = 30000 x 0.0477 x 7.25 = 10,374.75
Now that you know how much interest George will pay if he pays $350 per month, you can use the same formula to calculate how much interest he will pay if he pays $400 per month. You will get a slightly different loan length because the $400 payment will allow him to pay off the loan faster.
The new loan length will be 30,000 / 400 = 75 months.
Converting this to years gives 75 months / 12 months/year = 6.25 years. Rounding this to the nearest quarter of a year gives 6.25 years.
Using the formula again, you get:
interest = 30000 x 0.0477 x 6.25 = 8,943.75
To find out how much George will save by paying $50 more per month, you can subtract the amount of interest he will pay with the higher monthly payment from the amount of interest he will pay with the lower monthly payment:
10,374.75 - 8,943.75 = 1,431
This means that he will save $1,431 in interest by paying an extra $50 per month.
Learn more about the monthly payments here:
https://brainly.com/question/20761642
#SPJ2
Can you Help me please!!
Step-by-step explanation:
10 and under= 3
11-15=7
16-20=8
20 and over= 2