How many planes appear in this figure?

Answer:

4.5 tablets.

Step-by-step explanation:

We just divide 9 by 2.

13. The tablets needed is 4 and a half.

14. There are 10 half-gram doses available from the 5 gram vials of medication.

15. Pat's heart beats approximately 58.5 times in 3/4 of a minute.

Given are words problems based on the mixed numbers:

13. To determine the number of tablets needed, we divide the total dosage required by the dosage per tablet.

In this case, the nurse needs to administer 9 milligrams of medication, and each tablet contains 2 milligrams.

So, the number of tablets needed is:

9 milligrams / 2 milligrams per tablet = 4.5 tablets

Hence, the tablets needed is 4 and a half.

14. If the pharmacy has 5 gram vials of medication, we can calculate the number of 1/2 gram doses available by dividing the total amount of medication by the dose size.

The total amount of medication in grams is 5 grams.

To find the number of 1/2 gram doses available, we divide the total amount of medication (5 grams) by the dose size (1/2 gram):

5 grams / (1/2 gram) = 5 grams x (2/1 gram)

= 5 x 2 = 10 doses.

Therefore, there are 10 half-gram doses available from the 5 gram vials of medication.

15. To calculate how many times Pat's heart beats in 3/4 of a minute, you can use a simple proportion:

1 minute = 78 beats

3/4 minute = ? beats

Let's solve for the number of beats in 3/4 of a minute:

Number of beats in 3/4 minute = (3/4) x 78

= 0.75 x 78

= 58.5

So, Pat's heart beats approximately 58.5 times in 3/4 of a minute. Since you can't have half a heartbeat, the closest whole number is 58 beats.

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The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).

It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)

= 2cosxsiny.

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The probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight is 0.7

Probability describes the likelihood of an event happening. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not.

The chance of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The probability of an event occurring can be anything between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.

According to the question,

P(D)=0.28

P(P)=0.55

P(D∩P)=0.13

Thus, the required probability,

P(DUP)=P(D)+P(P)-P(D∩P)

            =0.28+0.55-0.13

            =0.70

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The value of J ∩ F =  ∅

The value of J ∪ F = {c, e, f, g, k, j}

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sets J and F are defined as follows;

J = {c, e, f}

F = {g, k, j}

Now,

Since, Sets J and F are defined as follows;

J = {c, e, f}

F = {g, k, j}

Hence, The value of J ∩ F =  {c, e, f} ∩ {g, k, j}

                                         = ∅

The value of J ∪ F = {c, e, f} ∪ {g, k, j}

                            = {c, e, f, g, k, j}

Thus, The value of J ∩ F =  ∅

The value of J ∪ F = {c, e, f, g, k, j}

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Answer:

108°

Step-by-step explanation:

We know for a theorem that A = B, so:

4x + 28 = 2x + 68

Isolating the x:

2x = 40

x = 20

Now let's plug in the equation for A:

4(20) + 28 = 108°

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

well, we know the suits are all reduced by 20%, so the man saved 20% of 231.20

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 231.20}}{\left( \cfrac{20}{100} \right)231.20}\implies 46.24[/tex]

Answer:

Step-by-step explanation:

-10x-16

Answer:

distribute the -2 so your answer is -10x-16

Step-by-step explanation:

In the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.

A quadratic equation is a polynomial of degree 2, in a single variable x.

The standard form of a quadratic equation is ax² + bx + c = 0.

The quadratic formula is used to find the solution(s)/root(s) of this equation.

The quadratic formula is:

[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Thus, identifying the values of a, b, and c, is the first step in using the quadratic formula to find a solution(s)/root(s) to a quadratic equation.

In the question, we are asked to find the values of a, b, and c, in the given quadratic equation - 3x² - 5x + 9 = 0.

To find the values of a, b, and c, we compare the given equation, to the standard form of a quadratic equation, ax² + bx + c = 0.

On comparing, we get a is the coefficient of x², that is, a = -3.

On comparing, we get b is the coefficient of x, that is, b = -5.

On comparing, we get c is the constant term, that is, c = 9.

Thus, in the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.

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The provided question is incomplete.

The complete question is:

"Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

What are the values a, b, and c in the following quadratic equation?

- 3x² - 5x + 9 = 0

Answer:

it matches with equation a

The statement that most clearly shows an example of ethos is C. As the CEO of a major technology company, I am constantly making tough hiring decisions.

An ethos statement establishes the credibility, knowledge, and good moral character of the speaker or writer.

The use of ethos is meant to sound fair or to demonstrate credibility, expertise, education, or pedigree.

Thus, an example of ethos is when this CEO claims they constantly make tough hiring decisions.

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Answer:

B

Step-by-step explanation:

When x = 1, it appears y is in between 1 and 2.

The only choice that satisfies this is B.

Answer:

The equation that represents the graph is y=2e^x

Step-by-step explanation:

plug in geogebra and confirm:D

[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in[/tex]

The algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.

Given the expression; 5(5x + 7) - 6 (4- 2x)

We expand and collect like terms.

5(5x + 7) - 6 (4- 2x)

25x + 35 -24 + 12x

We collect like terms

25x + 12x + 35 - 24

37x + 11

Therefore, the algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.

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Answer: A = JIH

B = GJH

C = GH

D = 300

E = 60

Step-by-step explanation:

A) <JIH is a inscribed angle

B) GJH is a major arc

C) GH is a minor arc

D) m GH = m<GFh = 60

Vertex of the equation is (-2, 5)

Focus of the equation is (-2, 8)

Directrix of the equation is 2

What is a Quadratic curve?

A quadratic curve is a parabolic curve is a graph of the points which define a quadratic function. It shows how a function behaves in the cartesian plane.

Quadratic curve may bend upwards, or downwards depending on the gradient of the curve.

Analysis:

setting the equation in the form, [tex]x^{2}[/tex] +4x -12y = -64 in the form [tex](x-h)^{2}[/tex] = 4p(y-k)

Firstly we take -12y to the right hand side

[tex]x^{2}[/tex] +4x = 12y - 64

Making the left hand side a perfect square expression, we square both sides with -2

[tex]x^{2}[/tex] +4x + [tex](2)^{2}[/tex] = 12y -64 + [tex](2)^{2}[/tex]

[tex](x+2)^{2}[/tex] = 12y -60

[tex](x+2)^{2}[/tex]  = 12(y - 5)

comparing with the other equation

-h = , h = -2, -k = - 5 k = 5, 4p = 12, p = 3

Vertex is (h, k) = (-2, 5)

Focus is (h, k+p) = (-2, 5+3) = (-2, 8)

Directrix is y = k-p = 5 - 3 = 2

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Answer:

Step-by-step explanation:

(4, 2)

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The amount of water left is 4/10 gallons

Fractions are written as a ratio of two integers

Given the following parameters

Amount of gallon bought = 8/10 gallons

Amount he drank = 4/10

Determine the amount left

Amount left = 8/10 -4/10

Amount left = 4/10 gallons

Hence the amount of water left is 4/10 gallons

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The bearing angle exists 53.49°.

A bearing of 36° corresponds to the corresponding angle of

θ = 90 -36 = 54°

The (x, y) values for the position of the ship after achieving its first heading exist:

[tex]x_1[/tex] = 12.1 Cos 54° = 7.11 m

[tex]y_1[/tex] = 12.1 Sin 54° = 9.78 m

Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore

[tex]x_2[/tex] = 6.1 mi

[tex]y_2[/tex] = 0 mi

To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:

Δx [tex]= x_1+x_2[/tex]

= 7.11 mi + 6.1 mi = 13.21 mi

Δy [tex]=y_1+y_2[/tex]

= 9.78 mi + 0 mi = 9.78 mi

[tex]$r=\sqrt{(x_{total})^2+(y_{total})^2}[/tex]

[tex]=\sqrt{(13.21mi)^2+(9.78mi)^2}[/tex]

= 16.43 mi

The direction of the displacement vector exists given by

tan θ = Δy/Δx

θ = arc tan (Δy/Δx)

= arc tan (9.78/13.21)

= 36.51°

The question requested for the bearing angle, which exists just this angle subtracted from 90°:

90° - 36.51° = 53.49°.

Therefore, the bearing angle exists 53.49°.

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Answer:

113°

Step-by-step explanation:

Angles that form a linear pair are supplementary, and thus add to 180°.

Answer:

6. Quadrant four

7. Quadrant three

8. Quadrant one

Step-by-step explanation:

These questions give you points to graph and then asks which quadrants they are graphed in. Here is a visual.

The function that will have a horizontal asymptotes are function B, C and D

A function is said to have a horizontal asymptotes of the degree of the numerator is less or equal to that of the denominator.

From the rational expression given, the function A and E wil have no horizontal asymptotes since the power of the numerator is greater abd equal to the denominator,

The function that will have a horizontal asymptotes are function B, C and D

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The area of a rectangle is given by its length multiplied by its width. So that the expression that represents the area of the rectangle in the given question is  [tex]\frac{3}{2}[/tex] [tex]x^{2}[/tex] squared unit.

A rectangle is a figure that has four straight sides, in which opposite sides are equal.

The area of a rectangle can be determined by the expression;

Area = length x width

Thus considering the given question, the length of the rectangle is tribble to that of the square. And the width of the rectangle is half of that of the square.

So that;

length = 3x

width = [tex]\frac{x}{2}[/tex]

Thus,

Area = length x width

        = 3x ([tex]\frac{x}{2}[/tex])

        = [tex]\frac{3}{2}[/tex] [tex]x^{2}[/tex]

Therefore, the area of the rectangle is  [tex]\frac{3}{2}[/tex] [tex]x^{2}[/tex] squared unit.

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