Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
As a farmer, one of your responsibilities is to plow the field to prepare it for planting. On day 1, you plowed of the field. On day 2, you plowed of the field.
How much more of the field did you plow on day 1 than on day 2?
a.1/16
b.1/12
c.5/24
d.13/24
Answer:
you plowed more of the field on day 2 than on day one because minus equals
Step-by-step explanation:
I need help please it’s due tomorrow
Answer:
<E(it is obtuse), <C, <D
The angle opposite to the longer side is greater than the angle opposite to the shorter side
^^for the second one use the same logic <C, <B, <A
4) The measure of unknown angle x is.
Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?
Answer:
13
Step-by-step explanation:
plus 2 = 11 = 13
Answer:
The correct answer is 288
Step-by-step explanation:
72% of 400 is 288 you can do that in a calculator its common sense, its not 13.
150% as a simplified fraction
Answer:
It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%
Step-by-step explanation:
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
Simplify the expression:
6(20 + 1)
=
Answer:
120+6
Step-by-step explanation:
Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6
If a day of the week is randomly selected, what's the probability that the day contains the letter "a" in its name?
Round your answer to four decimal places (if necessary).
Answer:
1
Step-by-step explanation:
monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability
Answer:
There would be a 100% chance.
Step-by-step explanation:
All the days of the week end with -day. The word day has an 'a' in it.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Therefore, it will be certain that you will pick a day that has an 'a' in it's name.
Hope this helps!
Ava's Ice Cream Shop sold 25 sundaes with nuts and 3 sundaes without 10
nuts. What is the ratio of the number of sundaes with nuts to the number
of sundaes without nuts? *
Answer:
7:5 or 5:7
Step-by-step explanation:
Solve the question below
Answer:
name as AB =CD
angle A=angle D
BC=BC
hence angle ABC is congruent to angle BCD
(by sas congruency)
hence proved
[tex] \sqrt{x - 1} (x - 6) {}^{2} [/tex]
inflection points?
Answer:
1 and 6
Step-by-step explanation:
it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0
we can separate the two pieces of the problem
\sqrt{x-1} =0
square both sides to get
x-1=0. x=1
(x-6)^2=0
square root both sides and get
x-6=0
x=6
so the two inflection points of the equation are 6 and 1
Hope that helps :)
Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs and 4 hamburgers for $16, what is the cost of one hamburger?
Answer:
Hotdog: $1.50
Hamburger: $3.25
Step-by-step explanation:
You write down the 2 equations based off of the information as I did:
Let x = cost of a hotdog
Let y = cost of a hamburger
and so:
3x + 2y = 11
2x + 4y = 16
Now, we need to find x and y:
We will make both equations equal to y to compare them to each other.
2y = 11 - 3x
y = 5.5 - 1.5x
4y = 16 - 2x
y = 4 - 0.5x
4 - 0.5x = 5.5 - 1.5x
x = $1.5
Now plugging in x into the equation:
2(1.5) + 4y = 16
3 + 4y = 16
4y = 13
y = $3.25
And so hotdog = $1.5 and hamburger = $3.25
Pls help me with this
Answer:
Number 6 is 7
Step-by-step explanation:
8 x 7 = 56
49 + 7 = 56
What is the answer I need to know
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
.
In two or more complete sentences compare the number of xintercepts in the graph of f(t)=t^2 to the number of x-intercepts in the graph of g(t)=(t+3)^2
Answer:
f(t)=t^2 rests at (0/0) and grows upwards, so there is only a single x-intercept. g(t)=(t+3)^2 is f moved 3 to the left, so it also only has one intercept but at (-3,0).
Step-by-step explanation:
what is the value of a?
Answer:
9\sqrt{2}
Step-by-step explanation:
this is a 30-60-90 triangle so
the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.
so if 9=x then a=x\sqrt{2}
9\sqrt{2} is the side length of a
Hope that helps :)
pls help the teacher said it’s not 14 I don’t know
Answer:
let no be x
by the question
2x-5=9
2x=9+5
x=14/2=7
the secret no is 7.
According to exponent rules, when we divide the expressions we _______ the exponents.
Multiply
Subtract
Divide
Add
Answer for brainliest
Answer:
b
Step-by-step explanation:
Answer:
Y = 2x. it is given
now , 2x + 2y = 30
now putting y = 2x ,. in ( 2x + 2y) = 30
hence ,.2x + 4x = 30
6x = 30
x= 5
now ,y= 2x
y = 10
the farmer has a field of 300m.he want to fence it with 4 rounded barbed wire . what is the total length of wire he requires
Answer:
1,200 meters.
Step-by-step explanation:
Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:
300 x 4 = X
1,200 = X
Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.
Did i get this right?
Am trying to find the area
Answer:
Yea If im correct then you are
Step-by-step explanation:
Original amount: 27
End amount: 38.61
Increase or decrease
Answer:
increase
Step-by-step explanation:
11.61 was added to 27
Find m∠ABC in the picture. (it's not solving for x.)
Answer:
The answer would be 6º
Step-by-step explanation:
first we know that a straight lin is always 180º
so since we know that the angle outside of the triangle is 110º we can do 180º -110º
then we get the measuerment for angle C :70º
since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation
2+6x+12x+70=180
then we solve
72+18x=180
-72 -72
18x=108
/18 /18
x=6
then we plug in the x value to find the angle measurement
2+6(6)
2+36
38º
your answer is m<CAB is 38º
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias
Answer:
$1 for 60
Step-by-step explanation:
60$ is a better deal.
What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 cm (use 3.14 for pie)
1177.58
2355.16
18,841.25
12,850.80
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
Cuál es el valor de 3/2? es para una tarea :(
Answer:
1.5
Step-by-step explanation:
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