Need help finding constant rate of change!
Answer:
[tex]m = \frac{4}{7}\\[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The constant rate of change (m)
This is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
From the graph, we have:
[tex](x_1,y_1) = (3,4)[/tex]
[tex](x_2,y_2) = (10,8)[/tex]
So, the formula becomes:
[tex]m = \frac{8-4}{10 - 3}[/tex]
[tex]m = \frac{4}{7}\\[/tex]
Assume that y varies inversely with x. If y = 7 when x = 2/3, find y when x = 7/3.
y = [?]
Answer:
y = 2
Step-by-step explanation:
varies inversely
xy = k
y = 7 when x = 2/3
(2/3)7 = k
14/3 = k
k = 14/3
--------------------
find y when x = 7/3
(7/3)y = 14/3
multiply both sides by 3/7
y = 14/3 * 3/7
y = 2
Answer: y = 2
Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.
x₁y₁ = x₂y₂Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.
(2/3)(7) = (7/3)(y)
So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.
need help name the plane
Answer:
it must be G..
I'm not sure..
Someone please help on with these problems
help pls ill give u brainlest
Step-by-step explanation:
πr²= Area of a circle
In this case:
π16²
16²= 256265×π= 804.2 (1dp)So therefore, the answer is A
Hope this helped!
Legend has it that the great mathematician carl friedrich gauss (1777dash–1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. while his classmates toiled at the problem, carl simply wrote down a single number and handed the correct answer in to his teacher. the young carl explained that he observed that there were 50 pairs of numbers that each added up to 101. so the sum of all the numbers must be 50 times •101equals=5050. modify the procedure of gauss to find the sum. 1plus+2plus+3plus+...plus+320
Answer: Sum is 51360
Step-by-step explanation: I have heard same legend and it is also told in hih school math books.
There are 160 pairs numbers which sum is 321, also (320 +1) + (319+2) + ... + (160 + 161). So sum is 160·321
A rectangular filed is 190m by 270m . A rectangular barn is 23 m by 40 m is built in the field .
Answer: 50,380m
Step-by-step explanation:
190m * 270m = 51,300m
23m * 40m = 920m
Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with
51,300m - 920m = 50,380m
please answer both thank you
Answer:
7.
Solution given;
male=15
female=27
1st term=5*3
2nd term=3*3*3
now
Highest common factor=3
So
The maximum number of groups that the teacher can make is 3.
and each team contains 5 male and 9 female.
help with khan academy problem, law of sines
Answer:
104°
Step-by-step explanation:
[tex]\frac{sin~B}{18} =\frac{sin~29}{9} \\sin~B=\frac{18}{9} \times sin~29\\sin~B=2~sin~29\\B=sin^{-1}(2 ~sin~29)\\=104^\circ[/tex]
Internet providers: In a survey of 961 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet plan was $74.54 with standard deviation $11.08. Assume the plan costs to be approximately bell-shaped. Estimate the number of plans that cost between $52.38 and $96.7. Round to the nearest whole number. The number of plans that cost between $52.38 and $96.7 is .
Answer:
The number of plans that cost between $52.38 and $96.7 is 913.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of $74.54, standard deviation of $11.08
Percentage of plans that cost between $52.38 and $96.7.
52.38 = 74.54 - 2*11.08
96.7 = 74.54 + 2*11.08
Within 2 standard deviations of the mean, so by the Empirical Rule, 95%.
The number of plans that cost between $52.38 and $96.7 is .
95% of 961. So
0.95*961 = 913
The number of plans that cost between $52.38 and $96.7 is 913.
a) Translate both of the following equations where y is the total cost and x is the number of months:
Planet Fitness is offering a special deal for $5 down and $1 per month.
ABC Sports and Fitness is offering a special deal for 50 down and 56 per month. [1 point]
b) Determine when Planet Fitness and ABC Sports would have the same cost.
how much is 1/20 of 1/8 of 1600
Answer:
10
Step-by-step explanation:
( 1 / 20 ) x ( 1 / 8 ) x 1600
= ( 1 / 20 x 8 ) x 1600
= ( 1 / 160 ) x 1600
= 1600 / 160
Answer:10
Step-by-step explanation:
1/20 x 1/8 x 1600 = 10
= 10
Solve for x 11^x/11^3=11^2 PPEASE I HAVE AN F
How many times does the graph of the function below intersect or touch the x-axis y=-x^2+x+6
If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5
Answer:
[tex]a=-\frac{2}{3}[/tex]
Step-by-step explanation:
We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
[tex]y=3x+8[/tex] and
[tex]y=\frac{a}{2}x-2.5[/tex]
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]
I hope this helps! Let me know if you have any questions :)
Can someone please help me ?
Answer:
(x-2),(x-1),(x), and(x+1)
Step-by-step explanation:
In this scenario, we are given nothing about the polynomial except its graph. We can start in problems like these by looking at when y=0 and going from there.
In this graph, we can see that y=0 when x=2, 1, 0, and -1. Looking at our options, for y to be 0, there must be a factor where, when we plug x=2 in, y=0. The only option here is (x-2). Similarly, for x=1, we have (x-1), for x=0, we have x, and for x=-1, we have (x+1). The polynomial has 3 turning points, so the polynomial must be of degree 4 or higher.
So far, we have (x-2)(x-1)(x)(x+1). Plugging this in to a graphing calculator, we can see that this fits. To check if x²+2 and x²+1 would work here, it would require guess and check with values/graphing calculators, seeing if they fit. For example, when x=1.5, y is greater than -1 on the graph and our function. However, if we multiplied that by x²+1 or x²+2. when x=1.5, y would balloon downward, and the graph wouldn't fit
The volume v (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5pie r ^2
Answer:
Correct
Step-by-step explanation:
HELP PLEASE!!
.
.
.
.
.
Answer:
a
Step-by-step explanation:
because they spent the least of money on flowers
Answer:
They spent more on signs than flower boxes is the correct answer.
Pls help me I need the answer ASAP no rocky. What is the median of the data set
Answer:
go back in the lesson and relearn this is 6th grade work
Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
find the value of x easy math question #2 please help
Answer:
the sum of all three angles is 180° in every plane triangle.
knowing that we know that the upper right angle is 180-99-37 = 44
do it follows:
-x-5 = 44
and
-x = 49
and there
x is -49
please please please brainliest (if you like the answer)
PLS HELP WITH BOTH ASAP WILL GIVE BRAINLIEST
Answer:
13) 25 and 17
14) cupcakes = $5
brownies = $3
Step-by-step explanation:
13) you can set this up as equations
so x + y = 42
x-y = 8
solve simultaneously by subtracting from each other
2y = 34
y= 17
if y = 17
42 - 17 = 25 = x
14) set up as equations again
Ben 7c + 10b = 65
franklin 7c +7b = 56
subtract from eachother
3b = 9
b = $3
7c + 10(3) = 65
7c = 35
c = $5
Answer:
First question = 2&8
Second question = Cupcakes 6.5 Brownies 8
Step-by-step explanation:
Tony is watching a bird feeder on Monday and sees a chickadee take four seeds and a cardinal take six seeds. On Tuesday, Tony sees the chickadee take eight seeds and the cardinal take twelve seeds. On Wednesday, the chickadee takes twelve seeds and the cardinal takes eighteen seeds. On Thursday, the chickadee takes sixteen seeds and the cardinal takes twenty-four seeds. If this pattern continues, how many total seeds did each bird take in a week? How many seeds did each bird take on the last day of three weeks? Show all of your mathematical thinking.
There are 10 students in a
class. How many different
ways can they line up?

PLEASE HELP ASAPPPP WILL GIVE BRAINLIEST 20+ POINTS
show ur work
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
9514 1404 393
Answer:
6a +12b6(a +2b)3(2a +4b)Step-by-step explanation:
For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...
6a +12b
One equivalent form can be had by factoring 6 from the terms:
6(a +2b)
Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...
2(3a +6b)
or ...
3(2a +4b)
Answer:
6a+12b6(A+2b)3(2a+4b)Step-by-step explanation:
hope it helps
PLS HURRY IM BEING TIMED
Answer:
A
Step-by-step explanation:
I think it's A because that how many miles shes walking not hours not secound or minutes miles. Sry if i'm wrong.
Kevin entered a pie eating contest. He ate 4 pies in 132 seconds. What is kevins unit rate? Awnser without units.
Answer:
Kevin eats 1 pie for every 33 seconds that pass
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:
132 seconds / 4 pies = 33 seconds per pie
33 seconds / 1 pie
However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:
4 pies / 132 = .0303 or 3.03% of a pie per second
.0303 pies / 1 second
Eight less than the product of three and a number is twenty two
Answer:
let x represent the missing number
3x-8=22
3x=22+8
3x=30
3x/3=30/3
x=10
Step-by-step explanation:
hope this is helpful
Answer:
3x - 8 = 22
Step-by-step explanation:
always use x as "the number"
remember product means multiply!
8 less than the product of three and a number
3x - 8
lastly, "is 22"
"is" means equals
3x - 8 = 22
I hope this helps!!
If the population of 500 bacteria doubles every minutes, how long does it
to take to reach 128000?
answer step by step
graph below represents to read that Suzy hops across the lawn the equation represents the rate at which suzy's little sister jessica hops across lawn. Jessica gets a 15 meter head start. Who would you predict to win 60 meter hopping race?
A)Suzy
B)Jessica
C)They would tie
D)They would not complete 60 meters