Answer:
53
Step-by-step explanation:
We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.
Part B: If Andrew drives 6 more hours at the same rate, what is the total number of miles traveled for the trip?
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
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I NEED HELP WITH PRECALC PLEASE
Answer: First question: D, Second question: A
Step-by-step explanation:
Note: I'm not so good at expanding so I'll just solve it :)
So this leaves either C or D
Apply the sum rule:
8-70=-62
The only one that gives a negative sum is D
For the second picture, the one you have chosen is correct
a1 = 3 and r = -5 so:
an = 3/5 * (-5)^n
Plugging in 8 for n (the first choice) we get the given term: -234,375
Answer:
(d) 2 +(-5) +(-12) +... (a) a8Step-by-step explanation:
1.Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.
2 -7n for n=0 is 2 -7·0 = 2
2 -7n for n=1 is 2 -7·1 = -5
The series of the last choice (d) is correct.
__
2.The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...
an = 3(-5)^(n -1)
We want to find n for an = -234,375.
-234375 = 3(-5)^(n-1)
-78125 = (-5)^(n-1)
For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...
78125 = 5^(n -1)
Taking logs of both sides, we get ...
log(78125) = (n -1)·log(5)
log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)
n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate
-234,375 is the 8th term of the sequence.
Which statement is true about point Y?
Point Y is the center of the circle that passes through points D, F, and N.
Point Y is the center of the circle that passes through points M, N, and E.
Point Y is the center of the circle that passes through points L, M, and N.
Point Y is the center of the circle that passes through points D, E, and F.
Answer:
D, E and F
Step-by-step explanation:
Beause y is a point. It is a prime example physics.
Can someone help me with this
Hello! Please mark Brainliest for the explanation!
Answer:
Area: 10 inches
Step-by-step explanation:
As the paper itself states, the area of a triangle would be
1/2bh
Simply plug the given values in!
1/2(5)(4) =
1/2(20)=
10
Have a wonderful day!
Answer:
Area = 10 units
Skills needed: Triangle Theory, Substitution of Values
Step-by-step explanation:
1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is: [tex]\frac{1}{2}[/tex] times base (b) times height (h)
2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).
Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)
Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]
--> [tex]4*5=20[/tex]
--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]
1/2 of 20 is ten, so that is how we arrive at that final answer.
Hope you understand, have a great day :)
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11
Answer:
Step-by-step explanation:
There are multiple ways to do this, but I'll go with the first one I learned and the simplest.
So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.
Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b
By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.
Put these numbers in order from least to greatest.
1/2 1/10 0.4?
Answer:
1/10, 0.4, 1/2
Step-by-step explanation:
Answer:
1/10 0.4 1/2
Step-by-step explanation:
1/10 = 0.1
0.4 = 0.4
1/2 = 0.5
therefore 0.1 0.4 0.5
A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.
337.5 miles, or 337 miles!
Answer: It will be able to travel 162 miles
Step-by-step explanation:
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza’s temperature (in degrees celsius) as a function of time (in minutes) is graphed. What was the pizza’s temperature after 2 minutes?
For this case, the first thing we should do is write the linear function that best suits the table.
In this case we have the following function:
y = 7.5x - 5
C = 7.5t-5
For C = 100 we have:
100 = 7.5t-5
We clear the time:
t = (100 + 5) / (7.5)
t = 14
Answer:
it did take the pizza to reach 100 degrees Celsius about 14 minutes
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.
The equation is:
[tex]y(x) = \frac{9x^2}{x + 2}[/tex]
The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].
Applying the quotient rule, we have that:
[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]
Then, when x = 1:
[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]
The slope of the line tangent to the graph of y at x = 1 is of 5.
You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177
Using the number lines shown, what is the equivalent fraction to 3/3
Answer:
3/3 is a whole so I believe it would be the whole number line
What is 1 1/2 divided by 8
Answer:
3/16
Step-by-step explanation:
start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2
then set up your equation:
3/2 x 1/8
you do the resipricol of one of the numbers so instead of 8/1 we do 1/8
3 times 1= 3
2 times 8 is 16
3/16 does not simplify so thats your answer
Answer:
3/16
Step-by-step explanation:
((1 1/2)/8)=(3/2)/8
8 times 2(demoninator)=16
numerator stays same so the answer is 3/16
Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 15 feet. How many feet long will the path be?
After a discount of 25%, the sale price of a game system is $149.25. what is the original price?
Answer:111.94
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
25% = 25/100 = 25 ÷ 100 = 0.25.
100% = 100/100 = 100 ÷ 100 = 1.
New value =
149.25 - Percentage decrease =
149.25 - (25% × 149.25) =
149.25 - 25% × 149.25 =
(1 - 25%) × 149.25 =
(100% - 25%) × 149.25 =
75% × 149.25 =
75 ÷ 100 × 149.25 =
75 × 149.25 ÷ 100 =
11,193.75 ÷ 100 =
111.9375 ≈
111.94
In a class of 30 students, 60% like math. How many students: Do not like math?
Answer:
12 students
Step-by-step explanation:
30×0.4=12.
ROCKETS The height in feet of a rocket t seconds after launch is modeled
by h(t) =–16t2 + 72t. Find its average speed from 3 to 4 seconds.
F-56 ft/s
G40 ft/s H 40 ft/s
J 56 ft/s
The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Given the equation as a model, h(t) =–16t² + 72t.
Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]
Find h(4):
h(t) =–16t² + 72t
Substitute 4 for t in the equation h(t) =–16t² + 72th(4) = -16(4)² + 72(4)
h(4) = -256 + 288
h(4) = 32
Find h(3):
h(t) = -16t² + 72t
Substitute 3 for t in the equation h(t) =–16t² + 72th(3) = -16(3)² + 72(3)
h(3) = -144 + 216
h(3) = 72
Plug in the value into [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:
average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]
Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
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Mark used 14 bananas, 15 oranges, and 24 strawberries in his fruit salad.
Dani used 7 bananas, 9 oranges, and 12 strawberries. Did Mark and Dan
use the same ratio of bananas to strawberries? *
Answer:
yes-
Step-by-step explanation:
im not to sure if its right but
7+7=14
12+12=24
which cost the most per ounce 60 ounces of peanutt butter for 5.40,28 ounces for 2.24 or 16 ounces for 1.1.76
Answer:
The 16 ounces at 1.76.
Step-by-step explanation:
Divide total cost by the quantity to get cost per unit.
Ounces Cost Cost/Ounce
60 5.40 0.09
28 2.24 0.08
16 1.76 0.11
Help me find this question
Answer:
n=5
6n^2-15=6(5)^2-15 -> add 15 to both sides
6n^2=6(5)^2 -> divide both sides by 6
n^2=5^2 -> sqr both sides
n=5
7 students have 8 books each. Which helps you find the total number of books?
7 × 8
7 + 8
7 ÷ 8
7 - 8
Answer:
7 × 8
Step-by-step explanation:
7 number of students × 8 books each student has 7 × 8 = 56
May someone help me with this please?
Answer:
the first one
Step-by-step explanation:
plz give brainliest
help pls and thank you
Answer:
7x3=21 3x7=21
Answer:
two correct answers are:
1 x 21= 21
3 x 7= 21
A doughnut shop sells 30 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts
Answer:
86493225
Step-by-step explanation:
Hope it helps
If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km. What is the percent error when calculating the volume of the planet? Round your answer to 2 decimal places. Your answer
Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.
The percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.
What is the error?The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.
We have:
If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.
The radius r = (3350 ± 100) km
As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.
V = (4/3)πr²
The percent error:
= [(experimental value - accepted value)/experimental value]×100
The percent error in volume = 3(100/3350)×100
The percent error in volume = 8.95%
Thus, the percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.
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#SPJ2
-12/5+3/10/11/14-(-9/14)
Answer:
-6/5
Step-by-step explanation:
I hope it helps, bye
6 wholes and 1/3 converted into decimal?
Answer:
6 is a whole number.
[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.
Help hep help help math math math
Answer:
<4 corresponds with <8
Step-by-step explanation:
They correspond because they are in the same position relative to the lines.
As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle
if SOMEONE MAKE 4 SMOOTHIES WITH A RATION OF 2;3 WHAT IS AN EQUIVALENT RATIO
Answer:
8 smoothies: 4:6
2 smoothies: 1:1.5, etc.
First to answer correctly will get brainiest.
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer:
read step-by-step explanation
Step-by-step explanation:
it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100
