The spread of a highly contagious virus in a high school can be described by the logistic functiony=36001+899e−0.6xwhere x is the number of days after the virus is identified in the school and y is the total number of people who are infected by the virus.(a) Graph the function for 0≤x≤15.(b) How many students had the virus when it was first discovered?(c) What is the upper limit of the number infected by the virus during this period?

Answer:

Step-by-step explanation:

lets add 12 for a start

y+12=2/5x

x everything by 5

5y+60=2x

divide by 2

2.5y+30=x

hope it helps

Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

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Answer:

\( {x}^{2} + 26x = 11 \\ x = 0.4 \: and \: - 26.4\)

Answer:

width = length = 3 inches

height = 7 inches

Step-by-step explanation:

If x is the width and length of the base, and y is the height, then:

y = x + 4

The volume of the box is:

63 = x²y

The surface area of the box is:

93 = x² + 4xy

Substitute the first equation into the third.

93 = x² + 4x (x + 4)

93 = x² + 4x² + 16x

0 = 5x² + 16x − 93

0 = (x − 3) (5x + 31)

x = 3

y = 7

Use the second equation to check your answer.

63 = (3)²(7)

63 = 63

Answer:

Length=Width=3

Height=7.

Step-by-step explanation:

First, let's write some equations. So, we have an open box (with no lid) that has a square base. It has a height 4 units more of its width/length.

First, let's write the equation for the volume. The volume of a rectangular prism is:

\(V=lwh\)

Recall that we have a square base. In other words, the length and width are exactly the same. Therefore, we can do the following substitution:

\(V=(w)wh=w^2(h)\)

Now, recall that the height is four units more than the width/length. Therefore, we can make the following substitution:

\(V=w^2(w+4)\\63=w^2(w+4)\)

We can't really do anything with this. Let's next find the equation for the surface area.

So, we have 5 sides (not 6 because we have no lid). The bottom side is a square, so it's area is w^2. Since we have a square base, the remaining four sides will have an area w(w+4). In other words:

\(93=w^2+4(w(w+4))\)

The left term represents the area of the square base. The right term represents the area of one of the rectangular sides, times sides meaning four sides. Simplify:

\(93=w^2+4w^2+16w\\5w^2+16w-93=0\)

This seems solvable. Let's try it. Trying factoring by guessing and checking.

We can see that it is indeed factor-able. -15 and 31 are the numbers:

\(5w^2-15w+31w-93=0\\5w(w-3)+31(w-3)=0\\(5w+3)(w-3)=0\\w=3\\h=w+4=7\)

We ignore the other one because width cannot be negative.

So, the width/length is 3 and the height is 7. We can check this by plugging this into the volume formula:

\(63\stackrel{?}{=}(3)^2(7)\\63\stackrel{\checkmark}{=}63\)

Answer:

33.55 m³

Step-by-step explanation:

volume is base area times height.

the base area is a right-angled triangle (a×b/2).

At = 2.5×4.4/2

the height is 6.1

the total volume is then

2.5×4.4×6.1/2 = 33.55 m³

The baker's shelf will cost $336.00.

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

To calculate the cost of the wooden shelf, we first need to find the perimeter of the bakery:

Perimeter = 2 × (length + width)

Perimeter = 2 × (14 yards + 10 yards)

Perimeter = 48 yards

So the baker needs 48 yards of wooden shelf.

The cost of the wooden shelf is $7.00 per yard, so we can find the total cost by multiplying the number of yards by the cost per yard:

Total cost = 48 yards × $7.00 per yard

Total cost = $336.00

Therefore, the baker's shelf will cost $336.00.

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Answer:

$225.00

Step-by-step explanation:

7% of 225 is $15.75

.07x225=$15.75

$225+$15.75=$240.75

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

$2.50

Step-by-step explanation:

x/5 = 1/2

x is equal to 1 because it is half of the total and 1 is half of 2.

5 is equal to 2 because it is the whole amount and 2 is also the whole amount.

If you then solve for x by doing

5(1) = 5

5/2 = 2.5

You get 2.5 or $2.50.

Answer:

simple $2.50

Step-by-step explanation:

1 pound is $5 so half of that is $2.50

The prime factorization of 80 is 2⁴ × 5. The correct option is the first option 2⁴ × 5

From the question, we are to determine the prime factorization of 80

First, we will determine the factors of 80.

The factors of 80 are

80: 1, 2, 5, 10, 20, 40, and 80

Among these factors, only 2 and 5 are prime factors

Thus, we can write that the prime factorization of 80 is

80 = 2 × 2 × 2 × 2 × 5

80 = 2⁴ × 5

Hence, the prime factorization of 80 is 2⁴ × 5. The correct option is the first option 2⁴ × 5

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Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer:

$0.45

Step-by-step explanation:

We know that Molly paid $3.60 for 8 apples, that means that $3.60 is consisted of 8 equal prices (each price is equal to the cost of one apple). From here we can make an equation.

Let "a" be the price of one apple, then

8a = $3.60

8a / 8 = $3.60

a = $0.45

Now we know that Molly paid $0.45 for each apple in the bag.

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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In this problem, we have a triangle with:

• side a = 8,

• side b = 7,

• angle A = 30°.

Using the data of the problem, we make the following graph:

From trigonometry, we have the Law of Sines, which states that:

1) Angle B

In particular, we have:

Replacing the values of a, b and A, we have:

We want to find the values of B in the interval 0 < B < 180° that satisfies the equation above. Solving the equation we get the following values:

Now, from geometry we know that the inner angles of a triangle must sup up 180°, so the second angle B2 = 154° cannot be a possible answer, because A = 30°, and:

So there is only one possible value for B:

2) Angle C

We have the angles A = 30° and B = 26°, so angle C is:

3) Side c

From the Law of Sines, we have:

Replacing the values of a, A and C, we have:

Answers

A. There is only one possible solution to the triangle

• B ≈ 26°

• C ≈ 124°

• c ≈ 7.0

Answer:

16

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

Consider the absolute value of the difference of the points

| - 6 - 10 | = | - 16 | = 16 , or

| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16

Answer:

2123

like 1+4=5

3+4=7

Step-by-step explanation:

All odd numbers beginning from one, in a series.

Also: Starting with 13, add 4 to each digit separately, and continue adding 4 to the result.

Answer:

Solution,

Finding;

Difference between each number

1719-1315=404

1315-911=404

911-57=854

57-13=44

Here,4 is being added to both digits of the number. So the next number will be 17+4=21 and 19+4=23 which is 2123. So the next number to this series will be 2123.

Step-by-step explanation:

Hope it helped you.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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The volume of ice in Antarctica can be calculated by first determining the area of the semicircle.

This can be done by multiplying the radius (2000 km) of the semicircle (2πr2) by half, resulting in a total area of 3,14159265 x (2 x 20002) = 628318530 km2. To calculate the volume of ice, this area must be multiplied by the average thickness of the ice cover (3000 m). This results in a total volume of 18,8547595 x 1012 cm3 of ice in Antarctica. To put this into perspective, this is the equivalent of roughly 6.5 billion Olympic swimming pools of ice.The volume of ice in Antarctica can be calculated by first determining the area of the semicircle.

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Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

c. y=2x−48

Explanation:

It is telling us that it costs $48 each morning to buy the day's supply of hot dogs, so we must subtract that from our pay, and it will be our y intercept

It also says he earns $2 per hot dog, so that will be our slope (rate of change)

Hope it helps! :]

y = 2x - 48 equation represents the profit earned by the x hot dog sold.

A linear equation is an algebraic expression in which highest power of the given variable is equals to one.

Given that, the profit earned by a hot dog stand is a linear function of the number of hot dogs sold.

It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold.

We need to establish an equation that represents the total profit,

According to the question,

x represents the number of hot dogs sold

y represents the total profit earned

Cost required for supply = $48

Profit on each hot dog sold = $2

As per the condition given, the required linear equation is =

y = 2x - 48

Hence, y = 2x - 48 equation represents the profit earned by the x hot dog sold.

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Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

Answer:

Part A-4.6 miles.

Part B-2.1

Step-by-step explanation:

1.7^2 + 4.3^2 = c

c=4.6

Part A) The length of a straight line between the school and the Fire Station is  4.6

Part B) The length of a straight line between the school and the hospital is 2.1

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Answer:i took the test

Step-by-step explanation: 76879686

Answer:

the answer is D I hope this helps

Answer:

46

ayo how r u doin siahsvsgshsgsgsgsg

Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

*plz brainlist

Answer:

Step-by-step explanation:

area of a whole circle is pi \(r^{2}\)

diameter is 2*r

1/2 * pi * \(6^{2}\)   will find the area of 1/2 of the circle that has a diameter of 12'

56.54866 '

so approx  60 ft