Use the GCF to factor:
25 + 40​

Answer:

dose in MCG = 10.2 mcg

Total volume to be sent home = 1.836 ml (1836μl)

Step-by-step explanation:

weight of patient = 680g

dosage in mcg of medication = 15mcg/kg

This means that

for every 1kg weight, 15mcg is given,

since 1kg = 1000g, we can also say that for every 1000g weigh, 15mcg is given.

1000g = 15mcg

1g = 15/1000 mcg = 0.015 mcg

∴ 680g = 0.015 × 680 = 10.2 mcg

Dosage in MCG = 10.2 mcg

Next, we are also told ever ml volume of the drug contains 50 mcg weight of the drug (50mcg/ml). This can also be written as:

50mcg = 1 ml

1 mcg = 1/50 ml = 0.02 ml

∴ 10.2 mcg = 10.2 × 0.02 = 0.204 ml

since the medication is to be taken TID (three times daily) for 3 days, the total number of times the drug is to be taken = 9 times.

therefore, the total volume required = 0.204 × 9 = 1.836 ml (1836 μl)

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.

(b) False. As an example, consider the matrices

\(A_{3\times2} = \begin{bmatrix}1&0\\0&1\\0&0\end{bmatrix}\)

\(B_{2\times3} = \begin{bmatrix}-1&0&1\\0&0&1\end{bmatrix}\)

Then both AB and BA are defined, with

\(AB_{3\times3} = \begin{bmatrix}-1&0&1\\0&0&1\\0&0&0\end{bmatrix}\)

\(BA_{2\times2} = \begin{bmatrix}-1&0\\0&0\end{bmatrix}\)

In general, you can multiply any m×n by any n×m matrix.

(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.

Answer:

Step-by-step explanation:

its C

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

ADMC

Step-by-step explanation:

The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;

Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC

Hence the one that contains diameter with point M is line ADMC

Answer:

1.77 ft.^2

Step-by-step explanation:

What we know: diameter of circle is 1.5

What we need: the radius to find the area of a circle

What we can do: Divide 1.5 by two to get the radius(since the diameter is twice the radius : radius x 2 = diameter)

Math -->  1.5 divide by 2 = .75

What we need to know: Formula of finding Area of Circle is  A=(pie)r^2

Insert what we know: A=(pie).75^2

Work out problem(do radius to the second power first)#1:  .75^2 =  .5625(unrounded)

Work out problem(multiply number by pie))#2: .5625 multiplied by (pie) = 1.7671458676442586966352369030947‬

Round Answer to nearest hundredth: 1.77 ft.

Note: I use the pie sign for this problem. So I used : 3.1415926535897932384626433832795‬

I used a scientific calculator for the calculations.

^2 is added after the unit to show Area.

To the second power  is multiplying the number by itself. Example: 4^2 = 16 = 4 x 4

Answer:

23

Step-by-step explanation:

Answer:

What do you mean

Step-by-step explanation:

Explain in comments

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

The equation for the line is y = 2/5x + 24/5

Step-by-step explanation:

If you need the exact points, go to m4thway and plug that equation in.

Answer:

x = 2 and x = −3.

Step-by-step explanation

i solved it

Answer:

a) 16

b) 36

c) 4

d) 81

Explanation:

Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.

The Theoretical probability would be 1/9.

What is probability?

Probability is a measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, with 0 meaning the event will not occur and 1 meaning the event will definitely occur.

In this case, the experimental probability of choosing the name Grace is the ratio of the number of times Grace was chosen to the total number of names chosen:

Experimental probability = Number of times Grace was chosen / Total number of names chosen

Experimental probability = 17/117

To calculate the theoretical probability of choosing the name Grace, we need to know the total number of names in the hat and the number of times Grace was added to the hat. Let's assume that there are n names in the hat and that Grace was added k times. Then the theoretical probability of choosing the name Grace is:

Theoretical probability = k / n

If we assume that the nine different names were added to the hat only once each, then k = 1 and n = 9. Therefore, the theoretical probability of choosing Grace is:

Theoretical probability = 1/9

If the number of names in the hat were different, both the experimental and theoretical probabilities would change. For example, if there were more names in the hat, the probability of choosing any particular name would be lower, and vice versa if there were fewer names. The actual probabilities would depend on the number of times Grace was added to the hat, and how many total names there were.

Hence, the Theoretical probability would be 1/9.

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Answer:

$7.00

Step-by-step explanation:

there is a total of $35,000 worth of prizes being given out for 5,000 tickets.  We can find the expected value for each ticket by dividing 35,000/5,000.  This equals $7.00.

The correct equation is

Expected value for a ticket = 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

A charity event is any gathering whose main goal is to raise money for a nonprofit, cause, or organisation.

We have,

Car is the gift offered and the car is worth 30000

Tickets sold = 5000

Out of 500 tickets, one ticket would fetch the car worth 30000 dollars and five gift cards will bring 100 dollars

So, the Expected value for a ticket

= 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

=5.996+0.4-19.976

=-13.58

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Explanation:

Locate the point that has x = -3 as its x coordinate. The y coordinate is the output of the function when we use this x value. So the point (-3,-7) means that f(-3) = -7. As another example, f(2) = 3.

Answer:

\(P(Green) = \frac{6}{15}\)

Step-by-step explanation:

Given

\(Red = 9\)

\(Green = 6\)

Required

The probability of selecting green marble

This is calculated as:

\(P(Green) = \frac{Green}{Green + Red}\)

\(P(Green) = \frac{6}{9+6}\)

\(P(Green) = \frac{6}{15}\)

Step-by-step explanation:

please mark me as brainlest

Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

Answer:

Each degree of comparison has its own suffix..

Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.

The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).

The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.

One example of comparative adjective is that Josh is taller than his sister.

Thus the correct option is A.

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The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the data given in the question,

Total number of dog treats in the shop = 6157

Number of treats per bag = 7

Extra treats will be given to the groomer.

Then, the number of bags will be,

6157/7 = 879.57

This means that a total of 879 bags are there, with 7 pieces of treats per bag.

So, the total number of treats in 879 bags will be,

879 × 7 = 6153

So, the amount of treats left for the groomer is,

6157 - 6153 = 4 treats.

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Answer: 872

10 times 16 = 160

12vtimes 10 = 120

20 times 20 = 400

12 times 16 = 192

*with the area of triangles, you have to divide your number by 2, but there is 2 triangles, so 192, instead of 96*

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You have to look at the second term to be sure of the meaning of t - 15n

What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.

The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.

C is out of the question. The information talks about 2 dollars per increase which is the first term.

A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)

The answer is B

Answer:

The answer is B

Step-by-step explanation:

The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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Answer

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

Answer:b c d

Step-by-step explanation:

conformidad

What happened when the stock decreased by $123?

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

between 6 and 7

Step-by-step explanation:

The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.