Please help me with this question.​

Answer:

Step-by-step explanation:

since it is a cuboid use this formula

volume of a cuboid=l*w*h

=2*8*3

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer: Two sides are given 5 cm and 9 cm. .Therefore, the third side can not be greater than or equal to (9+5)=14 cm and it can not be less than or equal to (9–5)=4 cm

Step-by-step explanation:

Please Give me brainliest

Answer:

Step-by-step explanation:

the length to the third side can be

a) a^2+b^2=c^2

a=9, b=5

c^2=81+25=106

c=sqrt106=10.29

or

a=5, c=9

b^2=c^2-a^2

b^2=81-25=56

b=sqrt56=7.48

Answer:

10

Step-by-step explanation:

because 25%of 40 is 10

Answer:

10

Step-by-step explanation:

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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Answer:

The correct answer is 67 9/11

Answer:

67 Remainder 9

Step-by-step explanation:

The quotient and remainder of 746 divided by 11 = 67 R 9

The quotient (integer division) of 746/11 equals 67; the remainder (“left over”) is 9.

746 is the dividend, and 11 is the divisor.

Answer:

The correct function is y = 4(.25^x).

The situation is:

We need to find the length of the green line.

This is a right triangle, and we know the measure of the hyppotenuse, and an angle.

We can use the trigonometric relation cosine to find the distance from the firetruck to the building:

The distance between the truck and the buiding is the adjacent leg to the angle, let's call it x, then:

And we can solve for x:

To the nearest whole foot, the distance between the firetruck and the building to reach the top of the building is 17ft

largest 4 digit number : 9999

smallest 4 digit numbers : 1000

Difference = 9999 - 1000 = 8999

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

In the given graph, it is visible that Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.

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(a) At a 95% confidence level, the z is, 1.960

(b) The expectation that 25% of the offspring peas would be yellow is 1.960

What is Assumed mean?

The assumed mean approach in statistics is used to determine the mean or arithmetic mean of a set of grouped data. This approach is advised over a direct method for determining the mean if the input data is huge. This technique aids in minimizing calculations and generates tiny numerical values. This approach relies on guessing the mean and rounding to a convenient result. Once more, this amount is deducted from each sample value. The calculations are carried out after selecting a central class and dividing the data into equal-sized ranges or class intervals.

Assumed Mean Formula:

Let f1, f2, f3,..., fn be the corresponding frequencies and x1, x2, x3,..., xn be the midpoints or class marks of n class intervals. The assumed mean method's formula is as follows:

In the given question:

n = 445 green peas + 155  yellow peas =600

x =155;

\(a) $\hat{p}=x / n=1\\55 / 600\\=0.258$$$1-\hat{p}\\=1-0.258\\=0.742$$\)

At a 95% confidence level, the z is,

\(\begin{aligned}&\alpha=1-95 \%=1-0.95=0.05 \\&\alpha / 2=0.05 / 2=0.025 \\&Z_{\alpha / 2}=Z_{0.025}=1.960\end{aligned}\)

Margin of error = 0.36

A 95 % confidence interval for population proportion p is ,

\($\hat{p}_{-} \mathrm{E} < \mathrm{P} < \hat{p}+\mathrm{E}$$0.258-0.036 < p < 0.28+0.036$$0.222 < p < 0.94$\)

\(b) $\hat{p}=0.250$$1-\hat{p}\\=1-0.250\\=0.750$$ $ $ $\alpha=1-95 \%\\=1-0.95\\=0.05$$$\alpha / 2\\=0.05 / 2\\=0.025$$Z_{\alpha / 2}\\=Z_{0.025}\\=1.960$\)

A 95 % confidence interval for population proportion p is,

\(\begin{aligned}&\hat{p}_{-} \mathrm{E} < \mathrm{P} < \hat{p}+\mathrm{E} \\&0.250-0.036 < \mathrm{p} < 0.250+0.036 \\&0.214 < \mathrm{p} < 0.286\end{aligned}\)

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The rate at which the tip of the woman's shadow is moving, found by making use of the relationships between similar triangle and differentiation is 10 ft/s

Similar triangles are triangle in which all three sides of one proportional to three sides of the other triangle

Height of the woman = 6 ft.

The speed with which the woman walks towards the streetlight = 8 ft/s
The length of the shadow of the woman

Height of the street light = 30 ft.

Let a represent the horizontal distance from the woman to the street light, and let b represent the horizontal distance from the woman to the tip of her shadow, from the similar triangles formed by the shadow, we have;

\(\dfrac{30}{x+y} =\dfrac{6}{y}\)
Which gives;

\(y = \dfrac{x}{4}\)

The length of the tip of the woman's shadow to the street light, l, in terms of x is therefore;

\(l =x + y = x + \dfrac{x}{4} = \dfrac{5\cdot x}{4}\)

\(\dfrac{dx}{dt} = 8\)

Therefore, dx = 8·dt

x(t) = 8·t

Writing the function for the l in terms of time t gives;

\(l = \dfrac{5\cdot x}{4}\)

\(l = \dfrac{5\times 8\cdot t}{4} = \dfrac{40\cdot t}{4} = 10\cdot t\)

The speed at which the tip of the shadow is moving,

\(\dfrac{dl}{dt} = \dfrac{d}{dt} \left (10\cdot t ) = 10\)

The speed of the shadow dl/dx = 10 ft./s

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It will take Adrian 16 full months to save enough money for the electric keyboard.

- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.

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By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

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

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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Answer:

1000

Step-by-step explanation:

2×500=1000

hope it helps

The statement is false the expression √3x is equivalent to the expression x√3.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

let us check by an example put the value of x = 3

√3x = x√3.

and, √3 x 3  = 3√3

and, √9 ≠ 3√3

Here we can see that the two values are not equal.

Thus, the statement is false the expression √3x is equivalent to the expression x√3.

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Answer:80 degree angle

Step-by-step explanation:

There are always 180 degrees so you subtract the 2 others and you get the angle (60+40-180)

Answer:

x=1.5

or

x=1 1/2

Step-by-step explanation:

4x-7>-1

add 7 to both sides

4x=6

divide by 4 on both sides

x=1.5

or

x=1 1/2

Step-by-step explanation:

3 x 12 = 36

1.77 x 12 = 21.24

21.24 x 1.61 = 34.20

Answer:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20

Answer:

Step-by-step explanation:

a survey of 59 customers was taken at a bookstore regarding the types of books purchased. the survey found that 34 customers purchased mysteries, 28 purchased science fiction,21 purchased romance novels, 14 purchased mysteries and science fiction, 10 purchased mysteries and romance novels, 7 purchased science fiction and romance novels, and 2 purchase all three types of books

Let’s solve this using a Venn Diagram:

There are 59 customers in the Universe.

   34 Mysteries

   28 Science Fiction

   21 Romance

   14 Mysteries and Science Fiction

   10 Mysteries and Romance

    7 Science Fiction and Romance

    2  All Three

There are three circles:  Mysteries, Science Fiction, Romance

Solve (fill in the areas) in reverse order:

  Put 2 in the center

  7 Science Fiction and Romance = (all three) +x, so this is 2+x, x=5

  10 Mysteries and Romance = (all three) +x, so this is 2+x, x=8

  14 Mysteries and Science Fiction =(all three)+x, so this is 2+x, x=12

   21 Romance = (all three)+(M&R)+(S&R)+x, so this is 2+8+5+x, x=6

   28 Science Fiction = (all three)+(S&M)+(S&R)+x, so this is 2+12+5+x, x=9

   34 Mysteries = (all three)+(M&S)+(M&R)+x, so this is 2+12+8+x, x=12

Imagine 3 inter-locking circles with 4 numbers each:

Universe = 59 customers

                              No books = 5

     Mysteries                                        Science Fiction

              12                                                      9

                                         12

                                         2

                           8                          5

                                       6

                                 Romance

Check:

    12 + 9 + 12 + 2 + 8 + 5 + 6  = 54   There must be 5 people who purchased 0 books.

A survey of 105 college students was taken to determine the musical styles they liked. Of, course 37 students listened to rock, 36 to classical, and 25 to jazz. Also, 13 students listened to rock and jazz, 23 listened to rock and classical, and 11 to classical and jazz. Finally 9 students listened to all three musical styles.

There are 105 students in the Universe.

   37 Rock

   36 Classical

   25 Jazz

   13  Rock and Jazz

   23 Rock and Classical

   11 Classical and Jazz

    9  All Three

There are three circles:  Rock, Classical, and Jazz

Solve (fill in the areas) in reverse order:

  Put 9 in the center

  11 Classical and Jazz = (all three) + x, so this is 9+x, x=2

  23 Rock and Classical = (all three) + x, so this is 9+x, x=14

  13 Rock and Jazz = (all three) + x, so this is 9+x, x=4

  25 Jazz = (all three)+(R&J)+(C&J)+x, so this is 9+4+2+x, x=10

  36 Classical = (all three)+(C&R)+(C&J)+x, so this is 9+14+2+x, x=11

   37 Rock = (all three)+(R&C)+(R&J)+x, so this is 9+14+4+x, x=10

Imagine 3 inter-locking circles with 4 numbers each:

Universe = 105 students

               No Music = 45

     Rock                                                  Classical

            10                                                      11

                                        14

                                         9

                            4                        2

                                      10

                                    Jazz

Check:

 45+ 10 + 11 + 14 + 9 + 4 + 2 + 10 = 105

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Step-by-step explanation:

side² is the formula to find area of square.

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.