Answer:
There would be 859 bacteria after 13 hours.
Step-by-step explanation:
The population of bacteria after t hours is given by the following equation:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
The number of bacteria is able to double every 24 hours.
This means that [tex]P(24) = 2P(0)[/tex]. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]2P(0) = P(0)e^{24r}[/tex]
[tex]e^{24r} = 2[/tex]
[tex]\ln{e^{24r}} = \ln{2}[/tex]
[tex]24r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{24}[/tex]
[tex]r = 0.0289[/tex]
590 bacteria are placed in a petri dish.
This means that P(0) = 590. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = 590e^{0.0289t}[/tex]
How many bacteria would there be after 13 hours, to the nearest whole number?
This is P(13).
[tex]P(t) = 590e^{0.0289t}[/tex]
[tex]P(13) = 590e^{0.0289*13} = 859[/tex]
There would be 859 bacteria after 13 hours.
What is the y-intercept of the line given by the equation y= 3x + 4?
Answer:
the y intercept is 4
Step-by-step explanation:
the 4 is where the line starts so it would be (0,4)
First, notice that this equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier, m, or the coefficient of the ex term represents the slope of the line and the b or the constant term represents the y-intercept of the line.
I have attached slope-intercept form below.
Notice that below, the b is in place of the 4 in the equation.
So the y-intercept or the b is 4.
During a figure skating routine, Jackie and Peter skate apart with and angle of 15 degrees between them. Jackie skates for 5 meters, and Peter skates for 7. How far apart are the skaters?
Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot
The distance between the skaters is 2.5m
Data;
Jackie (a) = 5mPeter (b) = 7mangle = 15 degreesdistance apart = cCosine RuleTo solve this problem we can use cosine rule for this since we have the value of two sides and an angle.
[tex]c^2 = a^2 + b^2 -2ab cos C[/tex]
Let's substitute the values into the formula
[tex]c^2 = 5^2 + 7^2 - 2*5*7*cos15\\c^2 = 25 + 49 - 67.61\\c^2 = 6.39\\c = \sqrt{6.39} \\c = 2.5m[/tex]
The distance between the skaters is 2.5m
Learn more on cosine rule here;
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A graph that displays a collection of ordered pairs is called a ___.
Answer:
scatter plot. i believe.
Step-by-step explanation:
Final answer:
A graph that displays a collection of ordered pairs is known as a scatter plot, which shows the relationship between two variables using a Cartesian coordinate system.
Explanation:
A graph that displays a collection of ordered pairs is called a scatter plot. A scatter plot, also known as a scatter diagram, uses Cartesian coordinates to display values for two variables. It is a pictorial representation of the relationships of quantitative data, presenting individual points where the value of one variable determines the position on the horizontal axis (x-axis), and the value of the other variable determines the position on the vertical axis (y-axis). The pattern of these points on the graph helps to visualize any correlation between the variables being analyzed.
PLEASE HELP!!!
Nichole bought 500 shares of a company's stock for $8.24/share. she pays a broker a commission for $20 to buy and sell stock. after one year she sold all of her shares which were worth $10.10/share at that time..
what was her rate of return?
A. 22.6%
B. 21.5%
C. 16.8%
D. 16.1%
The Answer is B 21.5%
Step-by-step explanation:
what is 2/3 divided by 1/12
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 20)(x + 10) + 12
A = (x + 20)(x + 10) − 12
A = (x + 26)(x + 12)
A = (x + 14)(x + 8)
Answer:
A = (x + 15)(x + 10) − 5
Step-by-step explanation:
(x+15)(x+10)-5=A would be a solution
To make this easier, let's assign x a value. Let's say 3.
(3+15)(3+10)-5=A
(18)(13)-5=A
234-5=A
A=229
Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.
A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 Answer A is wrong.
B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 Answer B is wrong.
C. A=(3+26)(3+15)=(29)(18)=522 Answer C is wrong.
D. A=(3+14)(3+8)=(17)(11)=187 Answer D is wrong.
It's either I'm wrong or the answer choices are wrong.
New answer choices!
A. A=(3+20)(3+11)
=(23)(14)=322 Answer A is wrong.
B. A=(3+15)(3+10)+5
=(18)(13)+5=234+5=239 Answer B is wrong.
C. A=(3+15)(3+10)−5
=(18)(13)-5=234-5=229 Answer C is correct.
D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.
A = (x + 15)(x + 10) − 5
(x+15)(x+10)-5=A would be a solution
To make this easier, let's assign x a value. Let's say 3.
(3+15)(3+10)-5=A
(18)(13)-5=A
234-5=A
A=229
Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.
A. A=(3+20)(3+11)
=(23)(14)=322 Answer A is wrong.
B. A=(3+15)(3+10)+5
=(18)(13)+5=234+5=239 Answer B is wrong.
C. A=(3+15)(3+10)−5
=(18)(13)-5=234-5=229 Answer C is correct.
D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.
The question probable may be:
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
Write an equation to determine the area, A, of the patio that will be painted.
A. A=(3+20)(3+11)
B. A=(3+15)(3+10)+5
C. A=(3+15)(3+10)−5
D. A=(3+9)(3+10)=(12)(13)=156
An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear head to the nearest year.
Answer:
The age of the spear head is of 1938 yers.
Step-by-step explanation:
The amount of carbon 14 after years is given by the following equation:
[tex]Q(t) = Q(0)e^{-rt}[/tex]
In which Q(0) is the initial amount and r is the decay rate.
The half life of carbon 14 is 5700 years.
This means that [tex]Q(5700) = 0.5Q(0)[/tex]
So
[tex]Q(t) = Q(0)e^{-rt}[/tex]
[tex]0.5Q(0) = Q(0)e^{-5700r}[/tex]
[tex]e^{-5700r} = 0.5[/tex]
[tex]\ln{e^{-5700r}} = \ln{0.5}[/tex]
[tex]-5700r = \ln{0.5}[/tex]
[tex]5700r = -\ln{0.5}[/tex]
[tex]r = -\frac{\ln{0.5}}{5700}[/tex]
[tex]r = 0.00012160476[/tex]
So
[tex]Q(t) = Q(0)e^{-0.00012160476t}[/tex]
We have to find:
t for which Q(t) = 0.79Q(0). So
[tex]Q(t) = Q(0)e^{-0.00012160476t}[/tex]
[tex]0.79Q(0) = Q(0)e^{-0.00012160476t}[/tex]
[tex]e^{-0.00012160476t} = 0.79[/tex]
[tex]\ln{e^{-0.00012160476t}} = \ln{0.79}[/tex]
[tex]-0.00012160476t = \ln{0.79}[/tex]
[tex]0.00012160476t = -\ln{0.79}[/tex]
[tex]t = \frac{-\ln{0.79}}{0.00012160476}[/tex]
[tex]t = 1938.43[/tex]
Rounding to the nearest year.
The age of the spear head is of 1938 yers.
Answer:
The actual answer is 2357
A building casts a shadow in the shape of a right triangle with a base 18 feet wide and a height of 20 feet. What is the total area of
the shadow?
38 square feet
90 square feet
180 square feet
360 square feet
Answer:
180 sq ft
Step-by-step explanation:
1/2 x 18 x 20 = 180
Answer:
a: 180 square feet
Step-by-step explanation:
How many ways can the letters in the word D-I-N-O-S-A-U-R be arranged?
The letters in the word D-I-N-O-S-A-U-R can be arranged in 40,320 ways.
Explanation:To find the number of ways the letters in the word D-I-N-O-S-A-U-R can be arranged, we can use the concept of permutations.
The word D-I-N-O-S-A-U-R contains 8 different letters. To find the number of arrangements, we can use the formula for calculating permutations of n objects taken all at a time, which is n!. In this case, n is equal to 8, so the number of arrangements is 8!.
However, there are some repeated letters in the word D-I-N-O-S-A-U-R.
The letter 'A' is repeated twice. To account for the repetition, we divide the total number of arrangements by the factorial of the number of times each repeated letter occurs.
In this case, 'A' appears twice, so we divide by 2!. So the final answer is 8! / 2!.
Simplifying the expression, we have 8! / 2! = 40,320.
Geometry: BTS 2019; Chapter 4; Section 4.5; Exercises 1 - 57; Question 4
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
I can't get the image but the original is 9 and the new is 24
Answer:
it is an enlargement ( I know) and the scale factor is 2.6 (I think. I can't do it without the image)
Step-by-step explanation:
Answer:
C The dilation is a reduction.
Step-by-step explanation:
Which statement about these rectangles is true?
A rectangle pre-image has a length of 4 and width of 2. A rectangle image has a length of 4 (1.5) and width of 2 (1.5).
Jimena draws a figure with two pairs of parallel opposite sides. The four sides are not all the same length, and the figure has no right angles. Which two figures could she have drawn?
Answer:
Parallelogram
Step-by-step explanation:
we will solve question using hints given in question
given
There two pairs of parallel opposite sides
1. since there are two pairs of it means there 4 sides so the figure is quadrilateral
there are six possible types of quadrilateral possible
rectangle, square, rhombus, parallelogram, kite or any irregular quadrilateral which has not any standard defined shape
2 . It is given that opposite sides are parallel
there are four such quadrilateral which have opposite side parallel
rectangle, square, rhombus, parallelogram
Thus these are possible figures
3. Four sides are not all the same length
Since square and rhombus have all the sides of same length thus we omit these probable figure
hence probable figure left are
rectangle, parallelogram
4. figure has no right angles
since rectangle has right angle so it will also be omitted from the probable figure
Hence only probable figure left is parallelogram.
Parallelogram is a quadrilateral with two two pairs of parallel opposite sides
and satisfying the above condition of
1. The four sides of not the same length
2. no right angles
is 3.31 rational or irrational ?
Answer:
3.31 Should be irrational. If it can be made into a fraction than its rational if not then it would be known as irrational.
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How do you write 13/20 as a decimal? ( Hint: Find the factor that will make the denominator 100 and multiply that factor to the given numerator and change it to decimal form.)
Answer:
0.65
Step-by-step explanation:
To get 13/20 to a decimal, the denominator needs to be multiplied by 5 to make it 100. If you multiply the denominator, you also have the multiply the numerator to make it equal. 13 x 5 is 65. The fraction is 65/100, which is 0.65 in decimal form.
13/20 as a decimal is 0.65.
To write 13/20 as a decimal, you can follow the hint provided.
First, we need to find a factor that will make the denominator 100. In this case, multiplying the denominator by 5 will give us 100.
So, we need to multiply both the numerator and the denominator of 13/20 by 5:
13/20 x 5/5 = 65/100
Now, we have 65/100 as the fraction.
To convert it to decimal form, divide the numerator by the denominator:
65 ÷ 100 = 0.65
Therefore, 13/20 as a decimal is 0.65.
Learn more about decimal form click;
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In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry
juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of
cranberry juice to apple juice to orange juice in its simplest form.
Answer:
6/40 = cranberry juice, 30/40 = apple juice , 4/40 = orange juice
if you want to simplify these you can also write them as :
3/20 = cran. juice , 3/4 = apple juice, 1/10 = orange juice.
Answer:
3:15:2
Step-by-step explanation:
Mean of 7.2,8.5,7.0,8.1,6.7
Answer:
7.5
Step-by-step explanation:
7.2 + 8.5 + 7.0 + 8.1 + 6.7 = 37.5
37.5÷5 = 7.5
Answer:
7.5
Step-by-step explanation:
The mean is 7.5
The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?
Answer:
1,280
The dimensions are 5 by 4
Step-by-step explanation:
You multiply 20 and 16 then, divide 0.25 then you get 1,280
A jar contains 4 red marbles, 3 green marbles, and 2 blue marbles. If a marble is drawn at random, what is the probability that it is not green?
Answer:
6/9
Step-by-step explanation:
The probability of drawing a marble that is not green from a jar with 4 red, 3 green, and 2 blue marbles is 2/3 or 66.67%.
To find the probability of drawing a non-green marble from a jar containing red, green, and blue marbles, calculate the ratio of non-green marbles to the total marbles
Calculate the total number of marbles: 4 (red) + 3 (green) + 2 (blue) = 9 marbles in total.
The probability of drawing a non-green marble = [tex]\frac{(4~ red ~marbles + 2 ~blue ~marbles) }{9~ total ~marbles.}\\\frac{6}{9}[/tex]
Therefore, the probability of drawing a non-green marble is 6/9 or 2/3 (or approximately 0.67).
what is the inverse of y = 3 Superscript x
Answer:
x=3
Step-by-step explanation:
mark me brainliest
Answer:
the answer on edge 2021 is b) y=log3x
Step-by-step explanation:
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!
Answer:
B
Step-by-step explanation:
im pretty sure it's b and I AM SOOOO SORRY if its not
Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error?
This question is incomplete because the diagram of the sphere was not shown. Find attached to this answer the diagram for the sphere.
Answer:
a) The correct volume of the sphere = 113cm³
b) b) Hal's likely error was that
i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) In addition to using the wrong formula, Hal did not use π in his calculation.
Step-by-step explanation:
a) The Volume of a Sphere = 4/3πr³
From the attached diagram, the radius of the sphere was given as = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
We were told to round up to the nearest hundredth. Therefore, correct the volume of the sphere = 113cm³.
b) Hal's likely error was that
i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) In addition to using the wrong formula, Hal did not use π in his calculation.
This means:
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)² = 36
What is the value of x in the attached diagram?
A worker at a mill is loading 10-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 4 bags of flour. If the warehouse orders 2 tons of flour, how many boxes are needed to fulfill the order?
Answer: 100 boxes
Step-by-step explanation:
Hi, since 1 ton = 2,000 lbs
We have to divide 10lbs by 2000 to convert the lbs in tons.
1t/2000lb = xt / 10lb
10 /2000=0.005
0.005 ton = 10 lbs (1 bag)
Each box has 4 bags
0.005 ton x 4 = 0.02 ton
So each box weights 0.02 ton
Since we need 2 tons.
Using proportions:
0.02t/1 box= 2 t / x boxes
x = 2 / (0.02/1)
x = 100 boxes
Feel free to ask for more if needed or if you did not understand something.
Alice bought a 2-foot sub sandwich.The sandwich was cut into 10 pieces. Beth ate 1/5 of the sandwich , Camila ate 3/10 of the sandwich, and Alice ate two pieces which girl ate the most pieces
Answer:
Camila
Step-by-step explanation:
you take 1/5 and make it 2/10. Then you see that there are 10 slices and since Beth and Camila ate in 10th's, Beth at 2 slices and Camila ate 3. So since Alice ate 2 slices its less than Camila. Therefore, Camila ate the most slices.
I NEED HELP!!!!!!!
A student needed to find the measure of angle b. HeHe incorrectly said m angle b equals 132 degreesm∠b=132°. Find the correct measure of angle b. What mistake did hehe likely make
Answer:
Y = -3 Times X - 1
Step-by-step explanation:
y = mx + c
Here, m is the slope & c is the y-intercept
y = -3x - 1
Slope = -3
y intercept = -1
Answer:
The answer is 42
Step-by-step explanation:
and what he most likely did was
He subtracted 48 from 180 instead of 90.
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A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?
Answer:
56 divided by 8 would equal or just 56/8=
Step-by-step explanation:
If you want to find how many packs there are, it would be 56 divided by 8 would equal p.
Thecube of twice a number
The cube of twice a number is [tex]2x^3[/tex].
Simplify (2x^2 + x + 4)+(-3+7x + 8x^2)
i know how to im just lazy
Answer:
10 x^2 + 8 x + 1
Step-by-step explanation:
Simplify the following:
8 x^2 + 2 x^2 + 7 x + x - 3 + 4
Grouping like terms, 8 x^2 + 2 x^2 + 7 x + x - 3 + 4 = (2 x^2 + 8 x^2) + (x + 7 x) + (4 - 3):
(2 x^2 + 8 x^2) + (x + 7 x) + (4 - 3)
2 x^2 + 8 x^2 = 10 x^2:
10 x^2 + (x + 7 x) + (4 - 3)
x + 7 x = 8 x:
10 x^2 + 8 x + (4 - 3)
4 - 3 = 1:
Answer: 10 x^2 + 8 x + 1
Answer:
[tex]10 {x}^{2} + 8x + 1[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + x + 4 -3 + 7x + 8 {x}^{2} \\ = 2 {x}^{2} + 8 {x}^{2} + x + 7x + 4 - 3 \\ = 10 {x}^{2} + 8x + 1[/tex]
Class 10R sat a test The mean mark for the class was 70% there are 30 students in class 10R, 20 of whom are boys the mean mark for the boys in the test was 62% work out the mean marks for the girls
Answer:
86
Step-by-step explanation:
Given that there are 30 students in class 10R and the mean marks for the entire class was 70%. Therefore, total mark of class = 70 x 30 = 2100
Given that there are 20 boys in the class and the mean marks for the boys was 62 %. Therefore, total mark of boys = 62 x 20 = 1240
To calculate the mean mark for the girls we need to find the total number of girl and total mark of girls. total number of girl = 30 - 20 (boys) = 10 total mark of girls = total mark of class - total mark of boys = 2100 - 1240 = 860 mean mark for girls = 860 / 10 = 86
based only on the information given in the diagram it is guaranteed that rst uvw
Answer:
i need to see the problem
Step-by-step explanation:
Can you post the diagram?
Whoever answers 18 get brainliest and 10 points!!! U have to find the area
Answer:
Brainliest
Step-by-step explanation:
A = 4.5
Area of triangle = Base(height)1/2
(3)(3)1/2 = 4.5
Answer:
4.5
Step-by-step explanation:
base(height)(1/2) = 3 x 3 x 1/2 = 4.5