Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12

Answer:

The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].

0.4713 grams would remain in the tumor after 8.5 days.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance that decays, after t days, is given by:

[tex]A(t) = A(0)*(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A tumor is injected with 0.52 grams of Iodine-125.

This means that [tex]A(0) = 0.52[/tex]

After 1 day, the amount of Iodine-125 has decreased by 1.15%.

This means that [tex]r = 0.0115[/tex]

So

[tex]A(t) = A(0)*(1-r)^t[/tex]

[tex]A(t) = 0.52*(1-0.0115)^t[/tex]

[tex]A(t) = 0.52*(0.9885)^t[/tex]

Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

This is A(8.5).

[tex]A(t) = 0.52*(0.9885)^t[/tex]

[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]

0.4713 grams would remain in the tumor after 8.5 days.

Answer:

g=1

Step-by-step explanation:

6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer

Answer:

g=1

Step-by-step explanation:

solved and got the same answer

Answer:

AB is not a tangent

Step-by-step explanation:

yOA^2=OB^2+AB

AB y a tangent

19^2=361,15^2=225, 8^2+64=289

So here the tangent isn't a tangent.

Hope it helps.....

Answer:

This one ?

Step-by-step explanation:

Answer:

X= $3.99

Step-by-step explanation:

X is the value of each book

Answer:

x=3.99

Step-by-step explanation:

3x + 1.5= 13.47

3x + 1.5 - 1.5 = 13.47 - 1.5

3x = 11.97

3x/3 = 11.97/3

HOPE THIS HELPSSS

Answer:

1) x= sqrt 98 = 7 sqrt 2

Step-by-step explanation:

Answer:

White because there is no white marble.

Step-by-step explanation:

Answer:

There's 3 pages in the book

Step-by-step explanation:

You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)

Hope this helped!

Answer:

find how much the truck travels in,a litre

Answer:

The minimum sample size required for the estimate is 345.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The standard deviation is known to be 1.8.

This means that [tex]\sigma = 1.8[/tex]

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]

[tex]0.19\sqrt{n} = 1.96*1.8[/tex]

[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]

[tex]n = 344.8[/tex]

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

Answer:

5/8 +4/8 -(-6) =

9/8 + 6 =

9/8 + 48/8 =

57/8

Step-by-step explanation:

Answer:

Answer the question yourself and stop being lazy!

Step-by-step explanation:

Answer:Solutions are: x = -5, x = -4/5.

Step-by-step explanation:

Answer: -30/29

Step-by-step explanation: Let's solve your equation step-by-step.

(5)(2)+29x+20=0

Step 1: Simplify both sides of the equation.

(5)(2)+29x+20=0

10+29x+20=0

(29x)+(10+20)=0(Combine Like Terms)

29x+30=0

29x+30=0

Step 2: Subtract 30 from both sides.

29x+30−30=0−30

29x=−30

Step 3: Divide both sides by 29.

29x/29=-30/29

Answer:

57552232

Step-by-step explanation:

Answer:

C- The size of the initial water sample, in gallons.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

120 miles divided by 2 hours equals 60 mph

Answer:

Its A

Step-by-step explanation:

Standard equation: y=mx+b

x+y=0

-x    -x

y=-x+0

Answer:

The answer is below. I hope this is the answer your looking for.

Step-by-step explanation:

Answer:

obama your mama she looks like joe mama

Answer:

x=11

Step-by-step explanation:

You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!

By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as

3x ² - 5x + k = 3 (x - a) (x - b)

and upon expanding, we have

3x ² - 5x + k = 3x ² - (a + b) x + ab

Two polynomials are equivalent if their coefficients are equal, so

a + b = 5

ab = k

We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :

a + (a - 2) = 5

2a - 2 = 5

2a = 7

a = 7/2

Solve for b :

b = 7/2 - 2

b = 3/2

Solve for k :

k = 7/2 × 3/2 = 21/4

Answer:

Step-by-step explanation:

Divide the numerator and denominator by 2.

[tex]\frac{24}{100}=\frac{12}{50}[/tex]

To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number

Answer:

True

Step-by-step explanation:

Answer:

57.5 miles

Step-by-step explanation:

10 mi : 16 km

x mi  : 92 km

(10)(92) = (16)(x)

920 = 16x

57.5 = x

Answer:

A - 3307,50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C is the answer

Step-by-step explanation:

All you have to do is plug 12 in for x and 4 in for y

3(12) + 5(4) = solve

36 + 20 = 56

Hope that helps

Step-by-step explanation:

[tex]y = 3 \csc( \frac{x}{5} ) [/tex]

[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]

Multiply by 5 on both sides.

[tex]5 \times \frac{y}{3} = \csc(x) [/tex]

Take the inverse of cosecant or arccsc of the function.

[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]

The trigonometric equation for​ x, where x is restricted to the given interval is x = 5 * arccsc(y/5)

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given

y = 3 CSC(x/5) for x in given domain

y/ 3 = CSC  (x/5)

CSC(x/5) = y/3

x/5 = arccsc(y/3)

x =  5* arccsc(y/3)

Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.

Learn more about trigonometry here:

https://brainly.com/question/12068045

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