The distance travelled by larger circular wheel is 2π(R-r) more than the distance travelled by old tires.
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
and Area of circle = πr²
Circumference of circle=2πr
Now
let radius of old tires =r
radius of new tires =R
distance travelled by new tire in one rotation= 2πR
distance travelled by old tire=2πr
Hence,
The distance travelled by larger circular wheel is 2π(R-r) more than the distance travelled by old tires.
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The velocity v(t) of a sprinter on a straight track is shown in the graph below. 15 13 11 : 10 Determine the evaluaton of each definite integral Jot v() dt = 26 J4' v() dt = 3 6l v() dt =-10 v(t) dt = 19 You are correct: Your receipt no. is 161-2313 Previous Tries S' (t) =v(t) , then s(t) is the position of the runner at time t. Let s(0) ~2, determine the following values s(4) s(5) s(7) s(9) Submit Answer Incorrect _ Tries 2/8 Previous_ Tries
The position of the sprinter is equal to the value of definite integral of the given velocity function v(t). The position at t = 4, 7, and 9 is 8, 8, 0.
The velocity is the first derivative of the position function. The position function is given in the attached picture.
s'(t) = v(t)
The position at time t is therefore equal to the definite integral from t = 0 to time t.
Since the graph is linear, the evaluation of each definite integral is equal to the area of triangles underneath the lines.
∫₀⁴ v(t) dt = (1/2) x 2 x 6 = 6
∫₄⁷ v(t) dt = (1/2) x 1 x 8 - (1/2) x 2 x 4 = 0.
∫₇⁹ v(t) dt = 2 x (-4) = -8
The position at t = 0 is s(0) = 2
Hence,
s(4) = s(0) + ∫₀⁴ v(t) dt = 2 + 6 = 8
s(7) = s(0) + ∫₀⁴ v(t) dt + ∫₄⁷ v(t) dt = 2 + 6 + 0 = 8
s(9) = s(0) + ∫₀⁴ v(t) dt + ∫₄⁷ v(t) dt + ∫₇⁹ v(t) dt = 2 + 6 + 0 - 8 = 0
The graph in your question was missing. Most likely it was like on the attached picture.
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A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11^{\circ} ∘ . What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.
Answer:
581.3
Step-by-step explanation:
please rlly important need asap do all 50 points
Answer:
11. TS = 123.8 cm
12. SW = 108.8 cm
13. m∠SVU = 123°
14. m∠STU = 123°
15. US = 217.6 cm
16. m∠TUV = 57°
Step-by-step explanation:
Properties of a Parallelogram:
Quadrilateral (4-sided, two dimensional shape).Opposite sides are equal in length and parallel to each other.Diagonals bisect each other (divide into 2 equal parts).Diagonals are not equal in length.Opposite angles are equal.Sum of all the interior angles is 360°.Adjacent angles are supplementary (sum to 180°).11. Opposite sides are equal in length:
TS = UV = 123.8 cm12. Diagonals bisect each other (divide into 2 equal parts):
SW = WU = 108.8 cm13. Adjacent angles are supplementary (sum to 180°):
⇒ m∠SVU + m∠TSV = 180°
⇒ m∠SVU + 57° = 180°
⇒ m∠SVU = 123°
14. Opposite angles are equal:
m∠STU = m∠SVU = 123°15. Diagonals bisect each other (divide into 2 equal parts):
⇒ US = 2 × UW
⇒ US = 2 × 108.8
⇒ US = 217.6 cm
16. Opposite angles are equal:
m∠TUV = m∠TSV = 57°please help asap do both
From the following set of points, 26 is a trapezoid but not a isosceles trapezoid while 27 is not a trapezoid at all.
What is trapezoid?A closed, four-sided trapezoid in two dimensions has a perimeter and an area. Two of the sides are considered the bases of the trapezoid because they are parallel to one another.
The non-parallel sides of a trapezoid are referred to as its legs or lateral sides. The altitude is that distance between two parallel sides that is shortest. The area of a trapezoid can be easily calculated because the opposite sides are parallel to one another.
If the given points make an isosceles trapezoid then AB and CD must be equal and BC and AD must not be equal
Lets solve
26. AB = [tex]\sqrt{(-4-(-4))^2+(-1-6)^2}[/tex] = 7
CD = [tex]\sqrt{(2-(2))^2+ (6-(-4))^2}[/tex] = 10
BC = [tex]\sqrt{(-4-2)^2+ (6-6)^2}[/tex] = 6
AD = [tex]\sqrt{(-4-2)^2+ (-1-(-4))^2}[/tex] = 3√5
Thus, this not an isosceles trapezoid.
27. AB = [tex]\sqrt{(-5-2)^2+(2-6)^2}[/tex] = 8.06
CD = [tex]\sqrt{(-1-2)^2+ (6-1)^2}[/tex] = 5.83
BC = [tex]\sqrt{(-5-(-1))^2+ (6-6)^2}[/tex] = 6
AD = [tex]\sqrt{(2-(-5))^2+ (-1-2)^2}[/tex] = 3√5
None of the side make an trapezoid and it is not a isosceles trapezoid
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A Middle School is having a fundraiser they sold a total of 300 taco and enchiladas. Tacos sold for $2 and enchiladas sold for $3. They made a total of $780. How many individual tacos did they sell?
120 tacos were sold that day. I have attached the work down below.
Which equation is a linear function?
Answer: the third one
y=2^x-1
Step-by-step explanation:
After giving the final exam, the professor found that many of his students failed the test,
so he decided to give a remedial exam. The probability that a student passes the final
exam is 0.6. Given that a student fails the final exam, the probability that the student
passes the remedial exam is 0.8. What is the probability that Jay fails the final exam and
passed the remedial exam?
The probability that Jay fails the final exam and passed the remedial exam is P(fail the final and passed the remedial) = 0.32.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
After giving the final exam, the professor found that many of his students failed the test, so he decided to give a remedial exam.
The probability that a student passes the final exam is 0.6. Given that a student fails the final exam, the probability that the student passes the remedial exam is 0.8.
We are given the following probabilities:
P(passes the final exam) = 0.6
P(fail the final exam = (1 - 0.6) = 0.4
P(passes through the remedial | failed the final) = 0.8
We have to find P(fail the final and passed the remedial).
P(fail the final and passed the remedial) = P(passes the remedial | failed the final)*P(failed the final)
P(fail the final and passed the remedial) = 0.8 x 0.4
P(fail the final and passed the remedial) = 0.32
Hence, the probability that Jay fails the final exam and passed the remedial exam is P(fail the final and passed the remedial) = 0.32.
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A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?
80 children
150 children
200 children
320 children
The number of children that attend the fair on the day tha 350 were present in the fair is 200
How to calculate the number of children in the fairThe number of children in the fair is obtained by solve a simultaneous equation generated as follows
let x be the number if children be x and the number of adults be y. such that
x + y = 350
and from the cost we have
$3y + $2x = 900
the two equations are
x + y = 350
3y + 2x = 900
solving simultaneously with a calculator
x = 200 and y = 150
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9) A 10 feet flag stands. Point A is the top of flag, point B is End of the flag’s shadow and point C is the bottom of flag. The distance from point A to Point B is a total of 15 feet. What is the length of the distance from point B to C?
10) Two hockey players are trying to kill some time. They are throwing their mini-sticks against the building from a distance to see who can get there stick to stand up the tallest. The winner was lying at a 430 angle. If the mini-stick was 9 inches tall, how high up on the building did the stick touch ?
HELP PLEASE :?
Answer:
9) 11.18 feet
10) 6.14 inches
Step-by-step explanation:
The first problem sets up a situation with a right triangle. See image. Two sides are given, so you can use Pythagorean Theorem to find the last side. See image.
The second problem also sets up a right triangle. But here only one side length is given and one angle, so you use trigonometry. Sine is the ratio of the opposite side/hypotenuse. Use sine to find the missing length. See image.
I rounded these answers to the nearest hundredth (two decimal places) Check directions if they should be rounded more or less.
f(x) = ⌊2x +3⌋
Find f(1.2)
Question 3 options:
5.4
6
5
0
Answer: The correct answer is choice A. 5.4
Step-by-step explanation:
I hope this helps! :D
-1 > -2(x-4) - 5 (4x - 7 )
Step-by-step explanation:
[tex] - 1 > - 2(x - 4) - 5(4x - 7) \\ - 1 > - 2x + 8 - 20x + 35 \\ - 1 > - 2x - 20x + 8 + 35 \\ - 1 > - 22x + 43 \\ 22x > 43 + 1 \\ 22x > 44 \\ \frac{22x}{22} > \frac{44}{22} \\ x > 2[/tex]
Need help with question attached below in an image.
The resulting quadratic equation is x^2 - x - 7 = 0.
Determine the x-values?The x-values for which f(x) < 1 can be determined by solving the inequality f(x) < 1.
Since f(x) is not given in the question, we must first define it. Let's assume f(x) = x^2 - 2x + 1.
We can solve this inequality by subtracting 1 from both sides, and then completing the square on the left side of the equation.The resulting equation is (x - 1)^2 < 0.
Since the square of any real number is nonnegative, this equation has no solutions.Therefore, the x-values for which f(x) < 1 are not defined and can be expressed as the empty set, written as ∅.The function f(x) is defined as f(x) = x^2 - x - 6.
The x-values for which f(x) < 1 can be determined by setting the equation f(x) = x^2 - x - 6 equal to 1 and then solving for x.From here, the equation can be solved for x using the quadratic formula, which gives us x = [7 + sqrt(73)]/2 and x = [7 - sqrt(73)]/2.
Therefore, the x-values for which f(x) < 1 can be expressed in interval notation as (-∞, [7 - sqrt(73)]/2) U ([7 + sqrt(73)]/2, ∞).
(-∞, -3/2] ∪ [-3/4, 1)
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Find the derivative of the function.
F(x) =
x2 et4dt
x
F' (x)= ?
The derivative of the function F(x) =x2 et4dt is e−x4(2x)−e−x2.
The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value). Calculus's core tool is the derivative.
Take the derivative to differentiate anything.
Finding the slope at any point is the same as taking the derivative of a function, so differentiating is just finding the slope.
You may be aware that is typically indicated by either
I'm assuming you mean to determine the derivative of F(x)
F(x)=∫x2xe−t2dt
Let G(x)=∫x0e−t2dt
According to the calculus fundamental theorem
F′(x)=ddx(G(x2)−G(x))
=G′(x2)(2x)−G′(x)
=e−x4(2x)−e−x2.
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The Peters Family ordered one milkshake and two sundaes at the local ice cream shop and spent $14.95. The Morrison Family ordered three milkshakes and four sundress and spent $33.65. find the cost of one milkshake and one sundae.
On solving the provide question, we got to know that volume of cube is and volume of cuboid is , so volume cube is greater.
What is cuboid?We are aware that a rectangle has four corners and is a two-dimensional form. Think of the form as a collection of parallel rectangles. The resultant form is known as a cube. Take a look at the following three-dimensional cube. Height, Width, and Length
The volume of the cube = [tex]a^3[/tex]
Where a is the length of the side = 7cm
volume of cube =
[tex]7*7*7[/tex]We are aware that a rectangle is a two-dimensional shape with four corners. Consider the shape to be a set of parallel rectangles. The resulting shape is referred to as a cube. Look at the following cubic object in three dimensions. Length, Width, and Height
volume of the cuboid = l*b*h =
[tex]7*8*4 = 224 cm^2[/tex]
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Solve for x.
2x² =2x - 3
Answer:
[tex]\displaystyle x=\frac{1\pm\sqrt{5}i}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle 2x^2=2x-3\\2x^2-2x+3=0\\\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(2)(3)}}{2(2)}\\\\x=\frac{2\pm\sqrt{4-24}}{4}\\ \\x=\frac{2\pm\sqrt{-20}}{4}\\ \\x=\frac{2\pm2\sqrt{5}i}{4}\\\\x=\frac{1\pm\sqrt{5}i}{2}[/tex]
Example: 300 000 + 5 < 300 500
a.75001+9____75100
The correct answer is 75001+9< 75100.The 75010 is less than 75100.Because we can count to prove it.
When can we use greater than and less than symbols?The greater than and less than symbols are generally used to represent the inequality expressions. The symbol used to represent greater than is “>” and less than is “<”. If one value is larger than the other value we use greater than. Similarly,if we want to represent one value that is less than the other value we use less than.
How do we find less than greater than?Many teachers use the Alligator Method analogy to teach greater than and less than. They will draw an Alligator mouth on the greater than and less than signs.We can say the alligator is going to want to eat more.
Now
75001+9= 75010
This will seventy five thousand and ten
75100 = seventy five thousand and one hundred
So, 75001+9 <75100
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PLEASE ANSWER!!! I DONT UNDERSTANT THISJoaquin has $0.75 to purchase a bottle of water from the vending machine. How many different combinations of change can he have if he only has nickels, dimes, and quarters? List the possibilities.
A rectangle is dilated by a scale factor of 1/2, centered about the origin.
What should the area of the pre-image be multiplied by to obtain the area of the image rectangle?
2
4
1/4
1/2
30 points
What the area of the pre-image should be multiplied by to obtain the area of the image rectangle is; 4
How to interpret the scale of dilation?The scale factor in the dilation of a mathematical object is one that determines how much larger or smaller the image will be when compared to the original image.
Now, the formula for area of a rectangle is;
A = LW
Where;
L is length
W is width
If the rectangle is dilated by a scale factor of 1/2, then it means that;
New length = ¹/₂L
New Width = ¹/₂W
New Area = ¹/₂L * ¹/₂W
= ¹/₄LW
Thus, to get the pre image are, we have;
Area of pre-image = 4 * Area of new image
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The table and the graph each show a different relationship between the same two variables, x and y:
X
3
4
5
6
100
110
190
Y
200
270
360
450
540
How much more would the value of y be in the table, than its value on the graph, when x = 11? (1 point)
800
640
480
320
160
0
246810
The value of y in the table would be greater than the value on the graph, when x = 11 by: B. 110.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the points.For the table, an equation which represent its data points is given by:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 270 = (360 - 270)/(4 - 3)(x - 3)
y = 90(x - 3) + 270
y = 90x - 270 + 270
y = 90x.
When x = 11, the value of y is given by:
y = 90(11)
y = 990.
For the graph, an equation which represent its data points is given by:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 160 = (320 - 160)/(4 - 2)(x - 2)
y = 80(x - 2) + 160
y = 80x - 160 + 160
y = 80x.
When x = 11, the value of y is given by:
y = 80(11)
y = 880
Next, we would determine the difference:
Difference = 990 - 880
Difference = 110.
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Which of the following polynomials is in standard form?
SHESH Tecaci
ہے
te
O A. F(x) = 5x + 2x³ - x² - 3
OB. F(x) = -3+5x - x² + 2x³
O c. F(x) = -3 - x² + 2x³ + 5x
O D. F(x) = 2x³ - x² + 5x − 3
-
F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.
What is polynomial?Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.
Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.
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What is the slope-intercept equation for this line?
Frank is going to plant d vegetable seeds in one garden and 3d + 6 vegetable seeds in another. How many seeds is Frank going to plant?
Frank is going to plant seeds.
(Simplify your answer.)
Frank is going to plant d vegetable seeds in one garden, and 3d + 6 vegetable seeds in another. So Frank is going to plant 4d + 6 vegetable seeds in total.
What is algebra?Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. Algebra is used to solve problems and to describe patterns and relationships between variables. It is a powerful tool for modeling and understanding many types of real-world situations.
In algebra, letters or other symbols are used to represent numbers or quantities that are not known. These symbols can be manipulated using mathematical operations, such as addition, subtraction, multiplication, and division. Equations and inequalities involving these symbols can be solved to find the values of the unknowns. Algebraic equations can also be graphed to visualize the relationship between the variables.
To find the total number of vegetable seeds Frank is going to plant, we can add the number of seeds he is planting in each garden:
d + (3d + 6) = d + 3d + 6 = 4d + 6
So Frank is going to plant 4d + 6 vegetable seeds in total.
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Illustrative Mathematics
Cool-down: Fundraising for the Animal Shelter
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
5
Noah's ambition was $90, and he raised $54 toward that total, or 60% of his fundraising target, in order to benefit the animal sanctuary.
what is equation ?A mathematical equation is a formula that connects two statements using the equal sign (=) to denote equivalence. An algebraic equation is a mathematical statement that establishes the equality of two mathematical expressions. For example, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematical equations are used to express the connection between two phrases on either side of a letter. There is frequently just one variable, which is also the symbol. example: 2x - 4 = 2.
given
60% x what= $54
Then, by converting 60% to a decimal, we can turn it into a useful number: 0.6. We will substitute x for what because we also need to make "what" simpler to use:
0.6x=54
Get x by itself next, which is referred to as isolating the variable. To accomplish this, divide both sides by 0.6, which is referred to as employing inverse operations.
You must obtain x=90.
Noah's ambition was $90, and he raised $54 toward that total, or 60% of his fundraising target, in order to benefit the animal sanctuary.
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Rhombus DEFG with vertices D(1, 4), E(5, 5), F(4, 1),
and G(0, 0); 270° clockwise rotation about R(6,8)
On solving the provided question, we can say that vertices D(1, 4), E(5, 5), F(4, 1) and G(0, 0), area of rhombus = S*S = 5*5 = 25 cm sq.
what is Rhombus?A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.
here,
vertices D(1, 4), E(5, 5), F(4, 1) and G(0, 0)
so area of rhombus = S*S = 5*5 = 25 cm sq.
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Identify the method that will be used to solve for x: 5x + 6x = 22
The method that will be used in solving for x in the expression 5x + 6x = 22 is simplifying using addition and division operation
solving the equation gives x to be equal to 2
How to solve for the expressionThe expression given 5x + 6x = 22 is a linear function having one unknown variable and the solution is sought by using the relevant mathematical operations
Applying addition operation in solving for x
5x + 6x = 22
11x = 22
Applying division operation in solving for x
11x = 22
x = 2
hence, the solution of the the expression is x = 2
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Which expression is equivalent to 7x^2 square root of 2x^4 • 6 square root of 2x^12, if x does not equal 0?
For the given expression, the correct answer is C, 7x².√2x⁴.6√2x¹² = 84x¹⁰.
Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression.
A variable is a letter, like x, y, or z, that stands in for an arbitrary number. You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6.
Given,
the expression is 7x².√2x⁴.6√2x¹²,
Solving the under root,
⇒ 7x².√2x².6√2x⁶
⇒ 7x² . √2 x². 6. √2 . x⁶ [√2 × √2 = 2]
⇒ 7 × 6 × 2 × x¹⁰ = 84 x¹⁰
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i need help with point slope form
The equation of this parallel line using point slope is y = 4x - 31.
What is point-slope form?The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis may be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.
Given that the equation of a line is y = 4x - 2.
Here, we observe that the slope m = 4
Parallel lines have the same slope. So, the slope of the new line is:
m = 4
Given that points (x1, y1) = (5, -11) are also in the new parallel line.
Using the Point-Slope form we can write:
y - y1 = m (x - x1)
Substitute the value of x and y coordinates in the above equation:
y - (-11) = 4 (x - 5)
y + 11 = 4x - 20
y = 4x - 20 -11
y = 4x - 31
Hence, the equation of this parallel line using point slope is y = 4x - 31.
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I need help with this 2 problems! Please help and thank you
The Pythagorean theorem states that the square of a right-angled triangle's hypotenuse is equal to the sum of the squares of its other two sides.
How do you use the hypotenuse leg theorem?You can demonstrate the congruence of two right triangles using the Hypotenuse-Leg (HL) Triangle Congruence Theorem, which is a particular instance. A right triangle is congruent with another right triangle if its hypotenuse and one of its legs are congruent with its hypotenuse and one of its legs.
The hypotenuse (longest side) square in a right-angled triangle is equal to the sum of the squares of the other two sides, according to the Pythagorean theorem (base and perpendicular).
The right triangles are said to be congruent if their respective hypotenuses and legs are congruent with one another, according to the hypotenuse-leg (HL) theorem. By the HL theorem, these triangles are congruent.
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Olivia rides her scooter 3/4 mile in 1/3 hour. What constant of proportionality relates the distance she travels to the time
Answer: 9/4 (This a fraction)
Step-by-step explanation:
We do Keep. Switch. Flip aka KSF
we keep 3/4 and change the sign multiplication and flip 1/3 to 3/1
3/4 x 3/1 = 9/4
Note: I tried my best, don't hate me if it's wrong.
A biologist is researching a newly-discovered species of bacteria. At 8:00AM when she arrives at the lab, she puts a population of 600 bacteria into a favorable growth medium.
She measures the sample again before she goes home at 4:00PM and notes that the population is now 1300 bacteria.
When she comes back to the lab the next morning at 8:00AM, how many bacteria will there be?
Assume that the population of bacteria follows an exponential growth model.
Give your answer as a decimal number rounded to the nearest whole number.
Population = __________ bacteria
When she comes back to the lab the next morning at 8:00AM, the number of bacteria that will there be is 2000.
How to illustrate the population?From the information, the biologist is researching a newly-discovered species of bacteria. At 8:00AM when she arrives at the lab, she puts a population of 600 bacteria into a favorable growth medium.
She measures the sample again before she goes home at 4:00PM and notes that the population is now 1300 bacteria. The difference in the population will be:
= 1300 - 600
= 700
When she comes back to the lab the next morning at 8:00AM, the number of bacteria that will there be will be:
= 1300 + 700
= 2000
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