If a patient needs a 30-day supply of tablets four times a day, how many tablets will the patient need for discharge?

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate any pair of sides and solve for x

AC = BC , that is

10x - 5 = 6x + 3 ( subtract 6x from both sides )

4x - 5 = 3 ( add 5 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → d

A correct option is an option (d).

The given sides are,

AB=7.5x

AC=10x-5

BC=6x+3

As we know in an equilateral triangle all sides are equal then,

AB=AC=BC

[tex]AB=AC\\7.5x=10x-5\\-10x+7.5x=-5\\-2.5x=-5\\x=\frac{5}{2.5} \\x=2[/tex]

So, the correct option is an option (d).

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Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

Answer:

40.01 lb

Step-by-step explanation:

mean:

(45.5+61+37.2+16.34)/4

160.04/4

40.01

Answer:

40.01

Step-by-step explanation:

First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer

Answer:

y=3/2x-2

Step-by-step explanation:

gradient line 1= -2/3

perpendicular meaning gradients when multiplied should be -1

gradient line 2=3/2

y+2=3/2

x-0

y+2=3/2(x-0)

y+2=3/2x-0

y=3/2x-2

The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)

The standard equation of a line is y = mx+c, where m is the slope of the line.

We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,

Therefore, the slope of the asked line is 3/2.

Finding the c,

-2 = 3/2X0 + c

c = -2

Therefore, the equation will be,

y = 3x/2-2

Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2

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Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2=  - 5

Subtract 2 from each side

1/4x+5/8x +2-2=  - 5-2

1/4x+5/8x =  - 7

Get a common denominator

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7x * 7/8x = -7 *8/7

x = -8

Answer:

x=-8

Step-by-step explanation:

1/4x+2=-5/8x-5

find l.c.m=8

multiply through by l.c.m which is 8

x/4×8+2×8=-5x/8×8-5×8

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

________________________________

Hey!!

Solution,

-6(3-m+n)

= -18+6m-6n

= 6m-6n-18

hope it helps....

Good luck on your assignment

______________________________

Answer:

[tex]= 6m + 6n - 18 \\ [/tex]

Step-by-step explanation:

[tex] - 6(3 - m + n) \\ = - 18 + 6m + 6n \\ = 6m + 6n - 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

250Min

Step-by-step explanation:

1st machine = 2520 divided by 180min =14shirts/min

2nd machine =1440 divided by 120min =12 shirts/min

14 shirts/min +12shirts/min =26shirts/min

6500 shirts divided by 26shirts/min =250min

The answer is 250 minutes.

Rounding of decimals refer to the rounding of decimals to certain accuracy. Process of rounding of decimals ; put simply , if the last digit is less than 5, round the previous digit down. However, if it is greater than 5 then round the previous digit up.

Given, The first machine can produce 2,520 shirts in 180 minutes.

So, the first machine is making 2520 / 180 = 14 shirts per minute.

And The second machine can produce 1,440 shirts in 120 minutes.

So, the second machine is making 1440 / 120 = 12 shirts per minute.

If the both machines work together then both are making 14 + 12 = 26 shirts per minute.

To take them to produce 6500 shirts , both will take 6500 / 26 = 250 minutes .

Hence the answer is 250 minutes.

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Answer:

A,D

Step-by-step explanation:

I'm taking the test

The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.

Hence, option A and option D are correct.

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The domain represents interval notation is (–∞, 7) U (7, ∞) which is the correct answer would be an option (A)

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

For all other x-values, the graph appears to be defined. Thus, with the exception of x = 7, all real numbers should fall under the function's domain. This is what that would look like in interval notation:

It is possible to write the interval (–∞, ∞). as the set of all real numbers. Keep in mind that infinity∞ or -∞  is not a real number. Both ends are shown to be excluded from the interval by the rounded brackets.

All real numbers less than but not equal to 7 are contained in the set (-∞,7). (both ends are excluded.) The collection of every real number greater than but not equal to is.

All real numbers less than and higher than are combined to form the set of all real numbers that are not equal to 7. The union operator joins two intervals together.

Hence, the domain represents interval notation is (–∞, 7) U (7, ∞)

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Answer: 163 pounds

Step-by-step explanation: 12 stones is 168 pounds

Answer:163 lbs

Step-by-step explanation:

12 stone in lbs is 168 so 168-5= 163 lbs

Hey there! :)

Answer:

(b - 4)(b + 1)

Step-by-step explanation:

b² - 3b - 4

Factor by determining which numbers add up to -3 and multiply to equal -4.

-4 + 1 = -3

-4 × 1 = -4

Therefore, in factored form, the equation would be:

(b -4)(b + 1)

Answer: 1188

Step-by-step explanation: Multiply each volume.

Answer:

C     f(x) = 0.5(2x)

Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.

f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

A relation is a function if it has only One y-value for each x-value.

An exponential function with a growth factor of 1/2 would have 1.5^x as part of it

y=a(1+0.5)ˣ is the general term of the exponential function.

In the given functions

f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).

Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

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Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

Answer:

C = 31.4 inches

Step-by-step explanation:

To find the circumfrence

C = pixd

C =3.14x10

C = 31.4 inches

Answer:

2 half cubes

Step-by-step explanation:

this has only half the width, you just need 1 more to make a whole, therefore 2

Answer: x< 57

Step-by-step explanation:

x -11 < 36    Add 11 to both sides.

  +11    +11

x < 47

Answer:

C) 1/5

Step-by-step explanation

When one line has a slope of m, a perpendicular line has a slope of  −1/m

Answer: I don’t know bro I’m sorry but at least add me on insta silverqueef

Step-by-step explanation:

Thank tou

Answer:

13.75/17

Step-by-step explanation:

Cos is Adjacent over Hypotenuse so you take the numerator and put it on and adjacent side of the triangle and you take the denominator and put it on the hypotenuse. Then you use pythagorean theoram to solve for the rest of the triangle. Then you have all three sides of the triangle. Sin is Opposite over Hypotenuse, so you take the opposite angle and just put it over the hypotenuse value to get your sin. If you need a visual just draw a triangle. :)

Answer:

D

Step-by-step explanation:

The answer is D

-1+7, 5-8

(6, -3)

Answer:

.4666...

Step-by-step explanation:

What you do:

Too convert 7/15 to a decimal you need too divide it.

7/15 = 0.466666667 So its a repeating decimal.

There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47

                                                            ^ that is more accurate.

Have a good day! :)

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

Two thirds divided by one sixth is 4

Answer:

It is number four

Step-by-step explanation:

Answer:

6.2857142857 or 6.29 is the circumference of the circle

Hey!!

Solution,

Radius=1

Circumference of circle=2 pi r

= 2*3.14*1

=6.28 units.

Hope it helps

Good luck on your assignment

Answer:

[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]

[tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]

[tex]csc(x)=2[/tex]

[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

(I'll just use x for ease of writing)

We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]

[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.

[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]

[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

30-56

Step-by-step explanation:

It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].

Answer:

-3 degrees celcius

Step-by-step explanation:

To find the temperature at midnight, simply subtract the temperature change from the temperature at noon:

17 - 20 = -3

Therefore, it was -3 degrees at midnight.

Hope this helps :) Feel free to ask any questions!

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

Rotation

Step-by-step explanation:

Answer:

10 + 10 + 10 = 30

5 + 5 + 10 = 20

4 + 4 + 5 = 13

5 + 19 x 2 = 43

Step-by-step explanation:

Pair of shoes = 10

Boy = 5

2 snow cones = 4

One shoe = 5

boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43

I really hope this helps!

Answer:

30/3=10

two shoes is 10

20-10=10

10/2=5

each person is 5

13-5=8

8/2=4

Two cones is 4

2 (only 1 cone) x 19(two cones is 4 + each person 5 =9. 9 + 10 because of the two shoes = 19) =  38

38+5(only 1 shoe) = 43

Hope this helps

Step-by-step explanation:

Answer:

C (46)

Step-by-step explanation:

Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't).  OA and OB are both radius of circle O, making them congruent because all radii are congruent.  Also PO is congruent to PO by reflexive.  

Angle AOC is the same thing is Angle AOP.  Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent).  Therefore, Angle POB is 46 degrees.