A researcher is analyzing bacteria on a door handle after cleaning it with antibacterial disinfectant. Initially there were 15 bacteria, but the researcher noticed that the number of bacteria quadruples every hour,t. Write a function B(t) to represent the number of bacteria t hours after the initial measurement. Write a exponential function

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

Answer:

Option C. 4.0313×10²⁷ molecules.

Step-by-step explanation:

We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.

Width (W) = 5 m

Length (L) = 10 m

Height (H) = 3 m

Volume (V) =?

V = L × W × H

V = 10 × 5 × 3

V = 150 m³

Thus, the volume of oxygen is 150 m³

Next, we shall convert 150 m³ to L. This can be obtained as follow:

1 m³ = 1000 L

Therefore,

150 m³ = 150 m³ × 1000 L / 1 m³

150 m³ = 150000 L

Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:

22.4 L = 6.02×10²³ molecules

Therefore,

150000 L = 150000 × 6.02×10²³ / 22.4

150000 L = 4.0313×10²⁷ molecules

Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules

9514 1404 393

Answer:

  (-13, 10)

Step-by-step explanation:

If M is the midpoint of segment DE, then ...

  D = 2M -E

  D = 2(-3, 4) -(7, -2) = (2(-3)-7, 2(4)+2) = (-13, 10)

The other end point is (-13, 10).

Answer:

the answer is d

Step-by-step explanation:

the shape of it as well

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

To answer this question, we need to pose the question algebraically as follows:

1. The base fee is $18.95

2. Additional charge of $0.82 for each mile.

3. He paid $144.41.

The payment can be described as follows:

Then, we need to solve the equation for x:

Therefore, Joe drove the truck for 153 miles.

We can check this result if we substitute the value of 153 in the original equation:

According to the solution we have come to find that,  the salesperson will receive a commission of $15 for the week.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if you roll a standard six-sided die, there are six possible outcomes, each with an equal chance of occurring. The probability of rolling a 3 is 1/6, because there is only one favorable outcome (rolling a 3) out of six possible outcomes.

If the salesperson gets a 5% commission on each pair of shoes they sell, we can calculate their commission by multiplying the total sales by 0.05 (which is 5% expressed as a decimal):

Commission = Total sales * 0.05

In this case, the total sales are $300, so we can plug that into the formula:

Commission = $300 * 0.05

Commission = $15

Therefore, the salesperson will receive a commission of $15 for the week.

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Answer:

4 and 10/2 so actually 9

Step-by-step explanation:

Answer:

The answer is 9.

Step-by-step explanation:

You just need to substitute the variables, so:

10/2+4

= 9

I hope this helps!

Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

Answer:

A. false

b. true

c. false

Step-by-step explanation:

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

A cookie store sells 6 varieties of cookies. It has a large supply of each kind. How many ways are there to select 15 cookies if at most 2 can be sugar cookies?

This occurs when the number of $5 price increases is approximately 10.82 or 15.32.

The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.

The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.

We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,

we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.

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Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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The height of the rectangular prism is 2x^3

The volume of a rectangular prism is given by the product of its length, width, and height.

We know that the volume is 48x^8, so we can write an equation:

48x^8 = (4x^2)(6x^3)(h)

We can simplify the left side:

48x^8 = 24x^5 * h

And divide both sides by 24x^5 to find the height:

h = 48x^8 / 24x^5 = 2x^3

So the height of the rectangular prism is 2x^3

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Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

Answer:

the anwser is 24 please mark brianliest

Answer:

The answer is 24.

Answer:

-7/15 is the correct answer

Step-by-step explanation:

Answer:

1/8 for everything

Step-by-step explanation:

add all together and thats the probability

let's firstly convert tyhe mixed fraction to an improper fraction.

\(\stackrel{mixed}{37\frac{5}{7}}\implies \cfrac{37\cdot 7+5}{7}\implies \stackrel{improper}{\cfrac{264}{7}} \\\\[-0.35em] ~\dotfill\\\\ \textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=\frac{264}{7} \end{cases}\implies \cfrac{264}{7}=2\pi r\implies \cfrac{264}{7}=2\cdot \cfrac{22}{7}\cdot r \\\\\\ \cfrac{264}{7}=\cfrac{44r}{7}\implies 264=44r\implies \cfrac{264}{44}=r\implies 6=r \\\\[-0.35em] ~\dotfill\)

\(\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi (6)^2\implies A=\cfrac{22}{7}\cdot 6^2 \\\\\\ A=\cfrac{22}{7}\cdot 36\implies A=\cfrac{792}{7}\implies A=113\frac{1}{7}\)

The range of function for the given domain are {25, 8, -7, 11}

Given that, a function f(x) = 2x²-7, we need to find the range of the function, for the given domain, x = {-4, -2, 0, 3},

So,

Domain = All the input values.

Range = All the output values.

So, to find the range we will put the value of x which is the domain and the value obtained of f(x) will be the range,

f(x) = 2x²-7

For, x = -4,

f(-4) = 16×2 - 7 = 25

f(-4) = 25

f(-2) = 4 × 2 - 7 = 8

f(-2) = 8

f(0) = -7

f(3) = 9 × 2 - 7

f(3) = 11

Hence the range of function for the given domain are {25, 8, -7, 11}

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Answer: 6 Miles

Step-by-step explanation: Its simple. Just divide 90 miles by 15 gallons.

The logarithm of base 7 of t, as a logarithm of base 2 is given as follows:

log2(t)/log2(7).

A logarithm is defined as follows:

log_a(b).

In which:

To change the logarithm to a new base c, the logarithm is written by the fraction presented as follows:

log_c(b)/log_c(a).

In this problem, the logarithm is defined as follows:

log_7 t.

The new base is given as follows:

2.

(as stated in the problem, since we want the logarithm as a logarithm of base 2).

Hence, applying the change of base, the logarithm of base 2 will be given as follows:

log2(t)/log2(7).

As the term log2 represents the logarithm of base 2 of the term.

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Answer:

The probability would be 3 out of the 10 girls

Step-by-step explanation:

The probability that a female student does not have an A on the test is 7/29.

Probability is mathematical operation that is used to determine how likely a stated event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a female student does not have an A = number of females that do not have an A / total number of females

(29 - 20 - 2 )/ 29 = 7/29

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Answer:

i think it's 4.5

Answer: 2

Step-by-step explanation: Buying price per Apple=34/8=17/4 Rs

Selling price per Apple=57/12=19/4Rs

Profit per apple=Selling price-Buying price

Profit=  

4

19

​

−  

4

17

​

Profit=  

4

2

​

Profit=  

2

1

​

apples should be sold to earn a net profit of Rs 45

45=x× -  

2

1

​

=2  

Answer (A) 2

The height of the tree is equal to 210 ft to the nearest foot using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

angle opposite of the tree = 56 - 26 = 30

angle opposite of the shadow = 180 - 90 - 56= 34

by application of sine rule:

sin 30/h = sin 34/235

h = (235 × sin 30)/sin 34 {cross multiplication}

h = 117.5/0.5592

h = 210.1216 ft.

Therefore, the height of the tree is equal to 210 ft to the nearest foot using the sine rule.

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we find the probability corresponding to z = -0.4, which is 0.3446, and the probability corresponding to z = 0.5, which is 0.1915. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(-0.4 < z < 0.5) = 0.3446 - 0.1915 = 0.1531.

To answer these questions, we need to make a sketch of the normal distribution and use the unit normal tables to determine the appropriate probability.

1. p(z > 2.1)

First, we sketch the normal distribution and shade the area to the right of 2.1. This area represents the probability we are seeking.

Using the unit normal tables, we find the probability corresponding to z = 2.1, which is 0.4821. However, since we are looking for the probability to the right of 2.1, we need to subtract this value from 1 to get the correct probability. So, p(z > 2.1) = 1 - 0.4821 = 0.5179.

2. p(z > -3.4)

Again, we sketch the normal distribution and shade the area to the right of -3.4.

Using the unit normal tables, we find the probability corresponding to z = -3.4, which is 0.0003. However, since we are looking for the probability to the right of -3.4, we need to subtract this value from 1 to get the correct probability. So, p(z > -3.4) = 1 - 0.0003 = 0.9997.

3. p(z < 1.3)

This time, we sketch the normal distribution and shade the area to the left of 1.3.

Using the unit normal tables, we find the probability corresponding to z = 1.3, which is 0.4032. So, p(z < 1.3) = 0.4032.

4. p(0.9 < z < 1.9)

For this question, we sketch the normal distribution and shade the area between 0.9 and 1.9.

Using the unit normal tables, we find the probability corresponding to z = 0.9, which is 0.3159, and the probability corresponding to z = 1.9, which is 0.4713. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(0.9 < z < 1.9) = 0.4713 - 0.3159 = 0.1554.

5. p(-0.4 < z < 0.5)

Finally, we sketch the normal distribution and shade the area between -0.4 and 0.5.

Using the unit normal tables, we find the probability corresponding to z = -0.4, which is 0.3446, and the probability corresponding to z = 0.5, which is 0.1915. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(-0.4 < z < 0.5) = 0.3446 - 0.1915 = 0.1531.

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