The graph shows how much insulin, in micrograms (mcg), is in a patient's body after receiving an injection. Write an equation giving the number of mcg of insulin, `m`, in the patient's body h hours after receiving the injection.

The figure contains a triangle and a semicircle

The area of the figure is 49.12 square feet

The dimension of the triangle is:

Base = 8 ft

Height = 6ft

So, the area is:

Area = 0.5 * Base * Height

This gives

Area = 0.5 * 8ft * 6ft

Evaluate

Area = 24 square feet

The radius of the semicircle is:

r = 4 ft.

So, the area is:

[tex]Area = 0.5\pi r^2[/tex]

This gives:

Area = 0.5*3.14 * 4^2

Area = 25.12 square feet

Add the calculated  areas.

Total = 24 square feet + 25.12 square feet

Total = 49.12 square feet

Hence, the area of the figure is 49.12 square feet

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Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{11.9}{c}[/tex] ( multiply both sides by c )

c × sin20° = 11.9 ( divide both sides by sin20° )

c = [tex]\frac{11.9}{sin20}[/tex] ≈ 34.8 ( to the nearest tenth )

Answer:

D. I think

Step-by-step explanation:

It depends on how much the t-shirt costs and from there you can test it out and take away 20$ and 20% and compare which has the lowest price

Answer:

0.058

Step-by-step explanation:

Answer:

0.058

Step-by-step explanation:

Answer:

You flip a coin 4 times, with 2 possibilities every flip, heads or tails. So, every time you throw there's a 50% chance you'll throw tails. so it would be 1/2

The probability of getting at least 2 tails is 0.688.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Given that, a fair coin is tossed 4 times.

So, sample space is

S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

Now, total number of outcomes =16

Number of favorable outcomes = 11

Probability =11/16

= 0.6875

≈ 0.688

Therefore, the probability of an event is 0.688.

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Ok so the general form of a circle is given by;

(x-a)²+(y-b)²=r²

where a and b are the coordinates of the center

and r is the radius of the circle

For this case we know that the center is (5,-7)

So the general equation of the circle would be;

[tex](x - 5) {}^{2} + (y - ( - 7)) {}^{2} = r {}^{2} [/tex]

[tex](x - 5 {}^{2} + (y + 7) {}^{2} = r {}^{2} [/tex]

Since we know that (-3,-1) is a point on that circle, we can say that it satisfies the equation of the circle;

[tex]( - 3 - 5) {}^{2} + ( - 1 + 7) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = ( - 8) {}^{2} + ( 6) {}^{2} [/tex]

[tex]r {}^{2} = 64 + 36 = 100[/tex]

So now,

[tex](x - 5) {}^{2} + ( {y + 7)}^{2} = 100[/tex]

3×5+6+2 because

3×5=15+6=21+2=23

Answer:

2/7 of the staff are males

Step-by-step explanation:

This is because 5/7 - 7/7 + 2/7 thus gives you 2/7 male teachers

Answer:

Come on... Not enough evidence given.

Step-by-step explanation:

Answer:multiply the height by the width then divide by 2

Step-by-step explanation:

Answer:

A=1/2*b*h

Step-by-step explanation:

Hope I helped

Answer:

5  1  3

2 16 0

2  1  9

Answer:$63.55

Step-by-step explanation: You multiply 59.95 by 1.06

Answer:

Independent

Step-by-step explanation:

Answer:

Find the unit rate;

_____________ = _____________

We multiply those 57.5 calories with 6 ounces

57.5(6) = 345, there are 345 calories in 6 ounces.

(note that you formatted the question wrong, it was supposed to be):

There are 230 calories in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?

Answer:

Step-by-step explanation:

e and k are alternate exterior angles so they would be the same measurement you cant really do it without atleast one measurement did you miss anything on the question maybe?

Answer:

2x + 4 = 10 = x =3

Step-by-step explanation:

09 - 31 = 0  (the variable x is not present in the given system)

0 +5=6  (the variable x is not present in the given system)

2x + 4 = 10  = x = 3

09-1=4  (the variable x is not present in the given system)

51 - 7 = 1  (the variable x is not present in the given system)

3x + 1 = 9 = x = 8/3

Answer:

C. $0.22 per box

Step-by-step explanation:

if it's two juice boxes and they cost $0.44 together. You divide by two, since there are two boxes. with that you get your answer, 44÷2=22. making the answer $0.22

Answer:

Its 50 ft

Step-by-step explanation:

just multiply 5 by 10 because 1 inch is 10 feet

Answer:

The statements are not given, so i will answer it in the most general way possible:

First, let's recall two things:

Horizontal translation.

For a number A positive, we can move the graph of f(x) by A units to the right by the transformation g(x) = f(x - A)

Reflection over x

For a point (x, y), a reflection over the x-axis transforms this point into (x, - y).

Now let's analyze the problem:

A generic circle, of radius R and centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2 = R^2.

Now let's translate this 4 units to the right:

(x - 4 - a)^2 + (y - b)^2 = R^2.

or in standard circle notation:

(x - (4 + a))^2 + (y - b)^2 = R^2.

Now the circle is centered in the point (a + 4, b).

Now let's do a reflection over the x-axis.

This means that the sign of y changes, so now we have:

(x - (4 + a))^2 + (-y - b)^2 = R^2.

But because the term with y is squared, this is the same than:

(x - (4 + a))^2 + (y + b)^2 = R^2.

Or, in standard circle notation:

(x - (4 + a))^2 + (y - (-b))^2 = R^2.

Then the circle is now centered in point (a + 4, -b).

So now you know where the circle is located, and also you can see that the radius of the circle never changed.

Answer:

B. -8.2, -5, -3.5, 6, 8.2

Answer:

It is 54.

Step-by-step explanation:

You divide 36 by 2/3.

Answer:

8

Step-by-step explanation:

You find the GCF of 48 and 64

Answer:

8

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1. Given

2. Commutative property of addition

3. Substitution property

4. Subtraction property of equality

5. Additive inverse property

6. Substitution property

7. Multiplication property of equality

8. Multiplicative inverse property

9. Substitution property

Answer:

Slope can be found by determining the ratio of the rise (vertical change) to the run (horizontal change).

In this case miles is the rise, and 3 hours is the run

It should rise 12 and go over 3

I cannot really make out what's on your screen but it's likely it would be D.

The line has to pass 3, it cannot be off 3 by a bit.

And it should be lower than 20 because it rises 12.

Based on the corresponding angles theorem, a = 30°.

Two angles that correspond to each other are congruent based on the corresponding angles theorem.

Thus:

5x + x = 180° (linear pair)

6x = 180

x = 180/6

x = 30

Therefore:

x = a (corresponding angles)

a = 30°

Therefore, based on the corresponding angles theorem, a = 30°.

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Answer: (4,9)

Step-by-step explanation:

Answer:

The answer is -2, give me brainliest answer

Step by step solution:

1. 13-5=8

2. 8-5=3

3. 3-5= -2

Answer:

-2

Step-by-step explanation:

13

13 - 5 = 8

8 - 5 = 3

3 - 5 = -2

Answer:

$21.60

Step-by-step explanation:

20% can be written as 0.2

0.2 · $18 = 3.6

Add 3.6 to $18

$18.00 + 3.60 = $21.60

So the answer is $21.60

Hope I helped :)

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