Answer: 120 degrees
Step-by-step explanation:
The growth of bacteria makes it necessary to time-date some food products so that they will be sold and consumed before the bacteria count is too high. Suppose for a certain product the number of bacteria present is given by f(t)=600e0.1t, where t is time in days and the value of f(t) is in millions. Find the number of bacteria present at each time. (a) 2 days (b) 3 days (c) 1 week
a) Substitute t = 2 into the formula
= 600e^0.1(2)
= 600e^0.2
= 732.84 million
Therefore, 732.84 million bacteria are present after 2 days
b) Substituting t = 4 days we get
= 600e^0.1(4)
= 600e0.4
= 895.09 million
Hence, 895.09 million bacteria are present after 4 days
c) 2 weeks = 14 days
Substituting t = 14 days we get
= 600e^0.1(14)
= 600e^0.4
= 2433.12 million
Thus, 2433.12 million bacteria are present after 2 weeks
PLEASE HELP PLEASE PLEASE HELP
Answer:
D. Point D
Step-by-step explanation:
4.82 is close to 5 so D is right A and B are not even close. C is a little to close to 4.5 to be 4.82. But D looks like it could be 4.82 to though so D is right.
Describe the end behavior for f (x) = x^2 − 4x + 6
Answer:
as x approaches ∞, y is positive
as x approaches -∞, y is positive
Step-by-Step Explanation:
you need to graph the equation and look at what happens
HELP ME PLS GIVE ME ALL OF THEM. IF U DO YOU ARE A LIFE SAVER *the thing u blocked with my pencil is my answers that I couldn’t erase*
Answer:
Step-by-step explanation:
What is the equation of the circle?
Answer:
○ [tex]\displaystyle (x - 4)^2 + (y + 2)^2 = 25[/tex]
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}[/tex]
Sinse we are dealing with length, we only desire the NON-NEGATIVE root.
Distanse Equation
[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}[/tex]
Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
The sum of two numbers is 217. The difference between them is 43. Find the two numbers.
Answer:
The numbers are 87 and 130
Step-by-step explanation:
Call the numbers x and y[tex]x+y=217[/tex] [1][tex]y-x=43[/tex] [2]Rearrange [2] to make y the subject[tex]y=43+x[/tex] [3]Substitute [3] into [1][tex]x+(43+x)=217[/tex][tex]2x+43=217[/tex][tex]2x=174[/tex][tex]x=87[/tex] [4]Use [4] for [2][tex]y-87=43[/tex][tex]y=130[/tex]Calculator
A group of students is painting a background piece for the school play, What is the area of the part that is painted blue? Enter your answerint
40 ft
30 ft
5 ft
3 ft
2 ft
3 ft
20 ft
Answer:
479 ft^2
Step-by-step explanation:
Area of the bottom rectangle = 30 X 20 = 600 sq ft
then subtract the areas of the window and the door
600 - (5x3) - (2x3) = 579 ft^2
Then add the triangular top area
1/2 (20)(10) = 100
579 - 100 = 479 ft^2
220,000 population grows 8%. What will population be in 7 years
Answer:
the population will be 1,540,000 in 7 yrs
Answer: 377041.34
Step-by-step explanation: if it is growing 8 percent then you will add 8 percent to 100 which will equal 108 percent
Plug that into a calculator with the starting number so it wil look like 108% 220,000 and if you do that seven times you will get the answer.
12. m is inversely proportional to the square of (p-1) when p=4,m=5.
Find m when p = 6.
Each side of a square is increased by 10%
By what percentage is the area increased?
Answer:
21%
Step-by-step explanation:
If it is correct pls mark me as brainliest and learn we
find the L.C.M of 4x3 - 9x, 10x2 - 15x
Answer:
20x³ -45x
Step-by-step explanation:
The least common multiple of two expressions is the product of their unique factors.
__
4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression
10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression
The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...
5(4x³ -9x) = 20x³ -45x . . . . least common multiple
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
39⁰
Step-by-step explanation:
WE KNOW THAT,
SUM OF ALL ANGLES OF A TRIANGLE IS EQUAL TO 180⁰
P+Q+R=180⁰
2x⁰-9⁰+x⁰+33⁰+x⁰=180⁰
4x⁰+24⁰=180⁰
4x=180⁰-24⁰=156⁰
x=39⁰
please help I'll mark brainliest
what is [( 2+ 75.5) - 3] x 2
Simplify the expression.
149x
hope this is what your looking for
Drag the following sentences into the appropriate categories
She said it was a
well opportunity,
but I am not sure !
am ready.
I am not feeling
well today, but
hopefully tomorrow
I will feel more
better.
The beach was
more beautiful than
the park.
There is a good
chance I will not be
able to run faster
than last year.
The comparative adverb is correct.
The comparative adverb is incorrect.
She said it was a well opportunity, but I am not sure ! am ready has the comparative adverb to be incorrect.
What is a comparative adverb ?A comparative adverb is known to be an adverb that is often used when a person want to make a comparison between one action of a verb with another.
The other part of the question are:
I am not feeling well today, but hopefully tomorrow I will feel more better have the comparative adverb to be correct.The beach was more beautiful than the park. This have the comparative adverb to be correct.There is a good chance I will not be able to run faster than last year. This have the comparative adverb to be correct..Conclusively, An example is: John ran fast, but Miracle came first because he ran faster than John.
Learn more about comparative adverb from
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Answer:
She said it was a well opportunity, but I am not sure I am ready. Incorect
I am not feeling well today, but hopefully tomorrow I will feel more better. Incorect
The beach was more beautiful than the park. Correct
There is a good chance I will not be able to run faster than last year. Correct
Step-by-step explanation:
I took the test
What is the first step in which the student made an error?
o Step 1, because the student should have written a compound statement with "and"
o Step 2, because the student should have graphed the inequalities Y1 SX-4 andy, 51
o Step 3, because the values for x for which yn Sy2 also include values between 3 and 5
Step 4, because the solution is one continuous interval
The first step where the student made an error is in step 4 because the solution is one continuous interval.
What is r continuous interval?A function can be continuous in nature on an interval and this is said to be the time when the function is said to be seen at all point on that given interval and does not get any interruptions or breaks.
Note that in step 3, the values for x for which y₁ ≤ y₂ is x = 3 or x= 5. and in step 4 , the error is here when it state the solution is one continuous interval because there are more than one interval which is (∞, 3) ∪ (5, ∞)
Learn more about continuous interval from
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Find the area of a rectangle that measures 3 1/4 yd long and 2 1/2 yd wide???
Answer:
Area of rectangle = 65/8 yd²
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. In this case, we are given the length 3 1/4 yd and the width 2 1/2 yd wide. Therefore,
⇒ Area of rectangle = (L × B) = (3 1/4 × 2 1/2) yd²
It is suggested to convert the terms in the expression (3 1/4 × 2 1/2) to improper fraction. Therefore,
⇒ Area of rectangle = [(3 × 4) + 1]/4 × [(2 × 2) + 1]/2 yd²
⇒ Area of rectangle = [(12) + 1]/4 × [(4) + 1]/2 yd²
⇒ Area of rectangle = [13]/4 × [5]/2 yd²
⇒ Area of rectangle = 13/4 × 5/2 yd²
Simplify the expression on the right hand side to determine the area.
⇒ Area of rectangle = 65/8 yd²
Thus, the area of the rectangle is 65/8 yd².
You spent 1/5 of your birthday money on 2 video games.If each video game cost the same amount.what fraction of your birthday money did each video game cost
Answer: 2/5
Step-by-step explanation: 1/5 divided by 2You do 1/5, then the 2 is a whole number so you have to always put a denominator under a whole number. The denominator will be 1.in this case you will do KCF or KFC KEEP, CHANGE FLIP.1/5 you will keep
you will CHANGE the division sign to multiplication, never change when it is multiplication.
1/5 X 1/2
You will FLIP 2/1 into 1/2. Now multiply numerator x numerator, denominator x denominator.
1/5 X 1/2= 2/5
Now you have gotten your answer but for the future, the numerator should never be greater than the denominator, if it is, divide.
line h is parallel to line 0; ∠13 = ∠8 use the image of the protractor to find the angle measure of angle 1 then compute all the missing angle measure
Answer: Below
Step-by-step explanation:
Angles 1, 3, 5, 7 are 120 degrees.
Angles 4, 2, 8, 6 are 60 degrees.
angles 10, 12, 13, 15 are 70 degrees.
Angles 9, 11, 16, 14, are 110 degrees.
angle 17 is 50 degrees.
Use the information to answer the question.
A rectangular prism has a volume of 768 cubic inches. The area of the base of the rectangular prism is 48 square inches.
What is the height of the rectangular prism? Enter the answer in the box.
Answer:
16 inches
Step-by-step explanation:
Took the test
Hope this helps <3
Please thank if i got it right <3
What function equation is represented by the graph? f(x)= 3 exponent x+4 4 exponent x 5 4 exponent x +4 3 exponent x +5
Answer:
LAST OPTION
Step-by-step explanation:
F(X)
[tex]f(x) = {3}^{x} + 5[/tex]
is the required function
Hint:FOR finding these types of question just Substitute and check values with the options
NEED ANSWERS NOW!!!
please help
Answer: Please send more, is that all??
Step-by-step explanation:
I need more clarification, what are you trying to answer?
HELP
BRAINLEIST
AND 15 points!!!
Answer:
the product is 20 hope its helps :)
Step-by-step explanation:
What is the difference in length between the longest meteor and the shortest meteor? (4 points)
Answer:
13 / 8 in
Step-by-step explanation:
Longest ( 1 7/8) - shortest ( 2/8) = 13/8 in
Зу – 15 = y +1
I need the answer
y=8
Solution:First, move the y's to the left:3y-y-15=1Now, add 15 to both sides:3y-y=1+15Combine Like Terms:2y=16Divide both sides by 2:y=8Hope it helps.
Do comment if you have any query.
Answer:
y = 8
Step-by-step explanation:
Given equation: Зу - 15 = y + 1
Subtract "y" both sides:
→ Зу - 15 = y + 1→ 3y - y - 15 = y - y + 1→ 2y - 15 = 1Add 15 both sides:
→ 2y - 15 = 1→ 2y - 15 + 15 = 1 + 15→ 2y = 16Divide 2 both sides:
→ 2y/2 = 16/2→ y = 8Use the example above and determine the fraction of total interest owed. After the fifth month of a 12-month loan: the numerator is: {(n + ) + (n + ) + (n + ) + (n + ) + (n + )} = , and the denominator is: {(n) + (n + 1) + ... + (n + )} = . Therefore, the fraction is numerator/denominator (to the nearest tenth) = %.
The fraction of total interest owed after the fifth month of a 12-month loan is 64.1%
How to determine the fraction of interest owed?From the question, we have the following parameters
The numerator is given as: {(n+11)+(n+10)+(n+9)+(n+8)+(n+7)}The denominator is given as: {(n)+(n+1)+...+(n+11)}After the fifth month, the equation of the numerator is:
Numerator = (1+11)+(1+10)+(1+9)+(1+8)+(1+7)
Numerator = 50
The equation of the denominator is:
Denominator = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12
Denominator = 78
The fraction of total interest is then calculated using:
Fraction = Numerator/Denominator
This gives
Fraction = 50/78
Express as percentage
Fraction = 64.1%
Hence, the fraction of total interest owed after the fifth month of a 12-month loan is 64.1%
Read more about loan and interest at:
https://brainly.com/question/15301789
What percent of 96 is 367
Answer:
96 is what percent of 367? = 26.16
Step-by-step explanation:
Choose the figure that does NOT belong with the other three figures?
8
11
24
14
The 11 figures do NOT belong with the other three figures. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
If all the sides of the polygon are congruent, then the polygon will be known as a regular polygon.
In a trapezoid, the length of all the sides is not congruent. Then the trapezoid (11) figures do NOT belong with the other three figures.
Then the correct option is B.
More about the polygon link is given below.
https://brainly.com/question/17756657
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Marguerite can save 130 pictures on a DVD.How many pictures can be stored on 7 DVDS
Answer:
910 pictures can be stored on 7 DVDs.
Step-by-step explanation:
130 X 7 = 910.
What is the inverse relation of the function f(x) = -12 +4?
O y= x - 14
O y(x) = - +14
O y=-x+
O y= {c -
f(x)=7x+12
Put y in place of f(x).
y=7x+12
Switch x and y.
x=7y+12
Solve for y.
x-12=7y
(x-12)/7=y
Put in the f^-1(x) notation.
f^-1(x)=(x-12)/7