Ahmed wishes to buy up to 20 notebooks for his shop. he can buy either type A for $1.50 each or type B for $3. each he has a total of $45 he can spend. he must have at least 6 of each type in stock

If a 1L IV contains 60meq of kcal and the IV was discontinued after 400ml has infused, then the amount of IV received by the patient is 24meq of kcal.

Calculation for the Amount of IV

It is given that,

1L IV contains 60meq of kcal

⇒ 1000 mL of IV contains 60meq of kcal

⇒ 1 mL of IV will contain 60 / 1000 meq of kcal

As per the question,

The amount of IV infused in the patient = 400 mL

⇒ The amount of IV received by the patient in meq of kcal = 400 × (60 / 1000)

= 4 × 6

= 24 meq of kcal

Hence, the patient receives 24meq of kcal amount of IV.

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

Step-by-step explanation:

step one:

This problem is focused on the growth rate of a plant.

given data

the plants grow 5 inches in 34 months

and also that 1 month= 4 weeks

step two:

We can still say that

if 34 months see a growth of 5 inches

then 1 months will be X inches

cross multiply we have

X= 5/32 inches

step three:

converting this number to decimal we have

X= 0.15 inches per month

Therefore the growth rate would be

0.15 inches per month

Answer:

126 inches = 10.5 feet = 3.5 yards

Step-by-step explanation:

42 in = 3.5 ft = 1.1667 yds

2.5 ft = 30 in = 0.8333 yds

1.5 yds = 54 in = 4.5 ft

42+30+54= 126 in

3.5+2.5+4.5= 10.5 ft

1.5+0.8333+1.1667= 3.5 yds

10.5/3= 3.5 yds

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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9514 1404 393

Answer:

Step-by-step explanation:

1. Sides with the same mark are congruent:

  7x -4 = 31

  7x = 35 . . . . . . add 4

  x = 5 . . . . . . . . divide by 7

Similarly, ...

  4y +8 = 24 . . . sides with 3 hash marks are the same length

  y +2 = 6 . . . . . divide by 4

  y = 4 . . . . . . . . subtract 2

__

2. The (corresponding) right angles at B and D are congruent, and the angle at A is congruent with itself. This means triangles ABC and ADE are similar by the AA theorem. (Your flow chart might be: (show 2 angles the same) → (claim AA similarity).)

Similar triangles have corresponding sides in the same ratio:

  x/3 = (x+4)/13

  13x = 3(x +4) . . . . . . multiply by 3×13

  10x = 12 . . . . . . . . . . subtract 3x

  x = 1.2 . . . . . . . . divide by 10

Answer:

I used desmos to graph this.

Step-by-step explanation:

There are 6 possible rolls ...all equal probability ...'5' is just one of the 6

  so 1/6th of the time it should be a '5'

    1/6th of 300 = 50 times a '5' should be rolled

Answer:20%

Step-by-step explanation:

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Answer: x = 17

Step-by-step explanation:

         We can tell that these two angles are supplementary angles because we can use corresponding angles. See attached.

(x + 14)° + (9x - 4)° = 180°

x° + 14° + 9x° - 4° = 180°

14°- 4° + x° + 9x° = 180°

10° + 10x° = 180°

10x° = 170°

x = 17

The Variables (a) Gender is Categorical , (b) Alcohol can be either Categorical or Quantitative and (c) Height is Quantitative .

We can identify the type of each variable as categorical or quantitative.

(a) Gender: This variable is categorical, as it describes a characteristic that can only take on a limited number of values (e.g., male or female).

(b) Alcohol: Without additional information , it is not clear whether this variable is categorical or quantitative.

If the data set only includes information about whether an individual drinks alcohol or not, then this variable is categorical. If the data set includes information about how much alcohol an individual consumes, then this variable would be quantitative.

(c) Height: This variable is quantitative, as it represents a numerical measurement of a continuous variable.

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The given question is incomplete , the complete question is

Identify and classify the variable(s) you will use. here is the list of variables in the data set.  

(i) identify the variable as either categorical or quantitative.

the variables are (a) Gender , (b) Alcohol , (c) Height .

Answer:

X = 33

Angle K = 80

Angle J = 61

Step-by-step explanation:

All angles add up to 180

So, we can set it up like this:

39 + (-19 + 3x) + (x + 28) = 180

Now, we can solve:

48 + 4x = 180

4x = 132

x = 33

Therefore, x is equal to 33.

Check:

39 + -19 + 3(33) + 33 + 28 = 180

39 - 19 + 99 + 33 + 28 = 180

180 = 180

I hope this helps!!

- Kay :)

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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Part A:  For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.

Step-by-step explanation:

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

<95141404393>

The company should use the following values: Price per unit = $1,445; Variable costs per unit = $552; Fixed costs = $4.715 million ; Quantity = 95,000 units.

In algebra, a symbol (typically a letter) is used to represent an undetermined quantitative score in an expression or algebraic expression. Simply put, a variable is a number that may be changed yet remains fixed. Categorical and numeric variables are the two main types of variables. Then, discrete or continuous categories are made for each category for numerical and categorical variables, respectively. An overview of various types is given in this section. a metric that has a wide range of possible values. Something that can change; a variable's sign; an element of a science experiment that could vary.

To perform a best-case and worst-case scenario analysis, we need to adjust the estimates for each variable based on the given percentage error of 15%.

Best-case scenario analysis:

Price per unit = $1,700 + (15% x $1,700) = $1,955

Variable costs per unit = $480 - (15% x $480) = $408

Fixed costs = $4.1 million - (15% x $4.1 million) = $3.485 million

Quantity = 95,000 units (no adjustment needed as it is a fixed quantity)

Worst-case scenario analysis:

Price per unit = $1,700 - (15% x $1,700) = $1,445

Variable costs per unit = $480 + (15% x $480) = $552

Fixed costs = $4.1 million + (15% x $4.1 million) = $4.715 million

Quantity = 95,000 units (no adjustment needed as it is a fixed quantity)

Therefore, for the best-case scenario, the company should use the following values:

Price per unit = $1,955

Variable costs per unit = $408

Fixed costs = $3.485 million

Quantity = 95,000 units

And for the worst-case scenario, the company should use the following values:

Price per unit = $1,445

Variable costs per unit = $552

Fixed costs = $4.715 million

Quantity = 95,000 units

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The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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Answer:

x = - 2, y = 6

Step-by-step explanation:

y = - 3x

x + y = 4

Substitute y = - 3x in " x + y = 4 ",

x + y = 4

x - 3x = 4

- 2x = 4

x = 4 / - 2

x = - 2

Substitute x = - 2 in " y = - 3x ",

y = - 3x

= - 3 * ( - 2 )

y = 6

Therefore,

the value of,

x = - 2

y = 6

Hence, the system is solved.

Answer:

-7

Step-by-step explanation:

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

We start with the general sine function:

\(a*g(w*x + p) +m\)

where g(x) = sin(x)

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

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Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps

Answer:

you need to give more explanation.

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

The relations in a right triangle are given as follows:

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

\(\sin{40^\circ} = \frac{b}{10}\)

\(b = 10 \times \sin{40^\circ}\)

Using a calculator:

\(b = 6.43\)

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Interest earned on $25,000 when it is compounded annually for 2 years at the rate of 4.7% is $2,405.23.

Compound interest is the term for interest that is earned on interest.

This may be shown using simple math: if you start with $100 and it earns 5% interest every year, you will have $105 at the end of the first year.

At the end of the second year, you will have $110.25.

So, we know that:
Principal amount = $25000

Interest rate = 4.7%

Time = 2 years

Compounded annually

Then, using the compounding calculator:

(Refer to the graph attached below)

The amount after 2 years will be $27,405.23.

Interest in this is:
$27,405.23 - $25,000

$2,405.23

Therefore, interest earned on $25,000 when it is compounded annually for 2 years at the rate of 4.7% is $2,405.23.

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Correct question:

Find the interest earned on a $25,000 deposit for 2 years at 4.7% interest, compounded annually.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

6.7

please give brainliest

The fraction of the restaurant that is owned by Dana, given the share owned by Karen and Dan is 3 / 14

First, find the fraction of the restaurant that is left to Dana and Randi after Karen and Dan's shares.

The fraction of the restaurant owned by both Dana and Randi are:

= Total ownership share - Fraction owned by Karen - Fraction owned by Dan

= 1 - 2/7 - 2/7

= 3/7

Dana and Randi share this equally so the fraction owned by Dana is:

= 3 / 7 ÷ 2

= 3 / 7 x 1/2

= 3 / 14

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