-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?​

The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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Answer:

D is the correct answer

Step-by-step explanation:

Acellus

The probability that either event will occur is 0.67

From the question, we have the following parameters that can be used in our computation:

Event A = 3

Event B = 1

Other Events = 2

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 3 + 1 + 2

Evaluate

Total = 6

So, we have

P(A) = 3/6

P(B) = 1/6

For either events, we have

P(A or B) = 3/6 + 1/6 = 0.67

Hence, the probability that either event will occur is 0.67

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The equation that represents this situation is:

⇒ 60t = 0.0284091

where t is the time in minutes.

We have to given that,

The speed of the cheetah is 60 miles per hour

The distance timed was 50 yards

Now, We have to convert the distance to miles, because the speed is in miles per hour.

Since, 1 yard = 0.000568182 miles

Hence, 50 yards = 50 x 0.000568182 miles

50 yards = 0.0284091 miles

Now we can use the formula:

distance = speed x time

We know that,

The distance is 0.0284091 miles, and the speed is 60 miles per hour.

Hence, the time it took the cheetah to run the 50-yard distance.

So, the speed from miles per hour to miles per minute, since we want the time in minutes:

60 miles per hour = 1 mile per minute

Now we can plug in the values we know:

0.0284091 miles = (1 mile per minute) x time

Solving for time:

time = 0.0284091 / 1

time = 0.0284091 minutes

time = 0.0284091 minutes x 60 seconds per minute

time = 1.704546 seconds

Thus, the equation that represents this situation is:

⇒ 60t = 0.0284091

where t is the time in minutes.

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Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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The term 9b represents the cost to rent a bike.

We have,

               Rentals

Bike                            $9/h

Electric scooter          $10/h

Kayak                          $18/h

Canoe                         $20/h

Paddleboard               $22/h

Helmet                        Add $6

Here, the term 9b represents the cost to rent a bike.

In the provided rental options, the cost of renting a bike is $9 per hour.

The term "9b" indicates that the cost is calculated by multiplying the hourly rate of $9 with the number of hours (b) the bike is rented for.

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Answer:

increasing exponential function.

Step-by-step explanation:

We can see from the table that the function is not increasing by the same amount as it goes up by 1 in x, so it is not linear.

It  must be exponential.

It is increasing at it increases in x, so it is an increasing exponential function.

Given statement Function Multiplication Simplified solution is :- (fg)(x) = [tex]4x^2[/tex] + 6x.

To find (fg)(x), we need to first find the product of f(x) and g(x) and simplify the expression.

f(x) = 2x

g(x) = [tex]2x^2[/tex] + 3x

To find (fg)(x), we substitute g(x) into f(x):

(fg)(x) = f(g(x)) = f([tex]2x^2[/tex] + 3x)

Now we substitute f(x) = 2x into the expression above:

(fg)(x) = 2([tex]2x^2[/tex] + 3x)

Distribute the 2:

(fg)(x) = [tex]4x^2[/tex] + 6x

So, (fg)(x) = [tex]4x^2[/tex] + 6x.

Function Multiplication Simplified solution is :- (fg)(x) = [tex]4x^2[/tex] + 6x.

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Answer:

1,000 grams

noun. a unit of mass equal to 1,000 grams: the basic unit of mass in the International System of Units (SI). Up until 2019 the kilogram was defined as equal to the mass of an international prototype, a platinum-iridium cylinder kept in Sèvres, France.

The radius of the cylinder is 2.25 feet.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume V is 400 cubic feet and the height h is 25 feet, we can substitute these values into the formula and solve for the radius r.

400 = 3.14 r² x 25

Dividing both sides of the equation by (3.14 * 25) to isolate r^2, we have:

r² = 400 / (3.14 x 25)

r² ≈ 5.08

Taking the square root of both sides to solve for r, we get:

r ≈ √5.08

r ≈ 2.25

Therefore, the radius of the cylinder is 2.25 feet.

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The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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The new coordinates of the quadrilateral ABCD after the dilation is:

A' = (-6, 6)

B' = (-8, -4)

C' = (4, -8)

D' = (0, 0)

We have,

To find the coordinates of the new quadrilateral after a dilation with a scale factor of 2 centered at the origin, we multiply the x and y coordinates of each point by the scale factor.

Given the original coordinates of the quadrilateral ABCD:

A = (-3, 3)

B = (-4, -2)

C = (2, -4)

D = (0, 0)

To dilate the coordinates with a scale factor of 2, we multiply each coordinate by 2:

A' = 2 x (-3, 3) = (-6, 6)

B' = 2 x (-4, -2) = (-8, -4)

C' = 2 x (2, -4) = (4, -8)

D' = 2 x (0, 0) = (0, 0)

Thus,

The new coordinates of the quadrilateral ABCD after the dilation is:

A' = (-6, 6)

B' = (-8, -4)

C' = (4, -8)

D' = (0, 0)

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Answer:

118

Step-by-step explanation:

104+25+(-11)

129-11

118

Therefore, our answer is 118

The circumference of the circle is 62.8cm.

The Circumference of the circle is given by the formula,

Circumference = 2*[tex]\pi[/tex]*r cm.........equation 1

Given, r = 10cm

On substituting the radius value in equation 1

Circumference = 2*[tex]\pi[/tex]*10

Circumference = 62.8 cm

Therefore, the circumference of the circle is 62.8cm.

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Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

[tex]\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces[/tex]

Manuel received $187.50, and George received $562.50 for the job.

Let's break down the information provided:

The job paid a total of $750.

George received $3 for every $2 that Manuel received.

To determine the amounts George and Manuel received, we can set up a ratio based on their earnings.

Let's assume Manuel's earnings as the base amount:

George's earnings : Manuel's earnings = $3 : $2

We can set up the following equation to solve for Manuel's earnings:

(Manuel's earnings / Manuel's earnings) = ($2 / $2)

Since the ratio is equivalent, we can say:

George's earnings / Manuel's earnings = $3 / $2

To find the amount each person received, we'll assign a variable to Manuel's earnings. Let's call it "x."

Therefore, George's earnings can be represented as "3x."

According to the given information, their total earnings should sum up to $750:

x + 3x = $750

Combining like terms, we have:

4x = $750

To solve for x, we divide both sides by 4:

x = $750 / 4

x = $187.50

Now, we can determine the amounts each person received:

Manuel's earnings = x = $187.50

George's earnings = 3x = 3 * $187.50 = $562.50

Therefore, Manuel received $187.50, and George received $562.50 for the job.

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Answer:

Set your calculator to degree mode.

x^2 = 4^2 + 10^2 - 2(4)(10)(cos 29°)

x^2 = 46.0304

x = 6.78

The number that belongs in the green box is 6.78.

Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- [tex]\sqrt{(b^{2} -4ac)/2a[/tex]

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =[tex](9 / 24) \times 100 = 37.5[/tex]%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = [tex](8 / 24) \times 100 = 33.3[/tex]%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = [tex](22 / 24) \times 100 = 91.7[/tex]%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = [tex](15 / 24) \times 100 = 62.5[/tex]%.

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The calculated value of the price per cup is $1.16

From the question, we have the following parameters that can be used in our computation:

A 3-quart jug of water costs $3.48

The price per cup is calculated as

Unit rate = Total cost/Size of the cup

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 3.48/3

Evaluate

Unit rate = 1.16

Hence, the price per cup is $1.16

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1) The dimensions of the 4 walls are:

Two walls are 20 feet long and 8 feet tall.

Two walls are 25 feet long and 8 feet tall.

2) Total area to be covered:

= 720 square feet.

3) You will need 1.8 gallons of paint to cover all four walls of the room.

Now, The dimensions of the 4 walls are:

Two walls are 20 feet long and 8 feet tall.

Two walls are 25 feet long and 8 feet tall.

And, The total area to be covered is:

For the two 20 feet long walls:

A = 20 feet x 8 feet

A = 160 square feet each.

And, For the two 25 feet long walls:

A = 25 feet x 8 feet

A = 200 square feet each.

Hence, Total area to be covered:

= (160 + 160 + 200 + 200) square feet

= 720 square feet.

For the number of gallons of paint needed, divide the total area to be covered by the area covered by one gallon of paint:

Number of gallons of paint needed = Total area to be covered / Area covered by one gallon of paint

Number of gallons of paint needed = 720 square feet / 400 square feet per gallon

Number of gallons of paint needed = 1.8 gallons

Therefore, you will need 1.8 gallons of paint to cover all four walls of the room.

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Answer:$0.25

Step-by-step explanation:

To find the expected value of playing the game, we need to multiply the payoff for each possible outcome by its probability and then add up all the values.

Let's first find the probabilities of each outcome:

- Probability of spinning1:1/6

- Probability of spinning2:1/6

- Probability of spinning3:1/6

- Probability of spinning4:1/6

- Probability of spinning5 or6:2/6( or1/3)

Now let's calculate the expected value:

Expected value=(1/6*$1)+(1/6*$3)+(1/6*$5)+(1/6*$7)+(1/3*-$1.25)

Expected value=$0.25

So the expected value of playing the game is$0.25 per spin.

In the long run, Scott can expect to gain money since the expected value is positive. However, this doesn't guarantee that he will actually win money every time he plays the game, as there is still a certain degree of randomness involved in each spin.

Given statement solution is :- The correct solutions to the quadratic equation  [tex]3(x-7)^2 = 27[/tex]  are x = 10 and x = 4.

Diego made an error in the step where he simplified [tex](x-7)^2 = 9 to x^2[/tex] - 72 = 9. The correct expansion of [tex](x-7)^2 is x^2 - 14x + 49[/tex], not [tex]x^2 - 72.[/tex]Therefore, his subsequent steps and solution are incorrect.

Mai made an error in the step where she simplified [tex](x-7)^2 = 9[/tex] to x - 7 = 9. The square root of 9 is ±3, so the correct equation should be x - 7 = ±3, not x - 7 = 9. Therefore, her solution is incorrect.

To solve the equation correctly, we start with the equation [tex]3(x-7)^2 = 27.[/tex]

Dividing both sides by 3, we have:

[tex](x-7)^2 = 9[/tex]

Taking the square root of both sides, we get:

x - 7 = ±3

Now, we need to solve for x by adding 7 to both sides:

x = 7 ± 3

This gives us two possible solutions:

x = 7 + 3 = 10

x = 7 - 3 = 4

So, the correct solutions to the quadratic equation [tex]3(x-7)^2 = 27[/tex] are x = 10 and x = 4.

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