You have 704 grams of a radioactive kind of praseodymium.If it's half life is 17 minutes,how much will be left after 69 minutes?

Setler79 [48]

Answer: 8n

Step-by-step explanation: 5n + 3n

3 0

2 years ago

A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o

MissTica

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

$A=\pi(3)^2=9\pi$

For the pizza of 12 inch

$A=\pi(6)^2=36\pi$

Number calories in a 6-inch pizza = 640 calories, therefore:

$\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}$

Substitute:

$\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}$

And solve for x:

$\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}$

Now, Estimate the number of calories in one slice of a 12 inch pizza:

$\frac{2560}{8}=320$

Answer: 320 calories

4 0

1 year ago

A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the

laila [671]

Answer:

Step-by-step explanation:

Given data

Sample Mean (M): $48.77

Sample Size (n): 20

Standard Deviation (σ) : $17.58

Confidence Level: 80%

we know that z*-Values for 80% Confidence Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

3 0

3 years ago

Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

torisob [31]

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

$1\ nickel=\$0.05$

$1\ quarter=\$0.25$

we know that

Mary has 15 coins

so

$x+y=15$ -----> equation A

The total value of the coins is $1.75

so

$0.05x+0.25y=1.75$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

8 0

2 years ago

Answer all please ❤️

IRINA_888 [86]

1: 0.5 and 50%

2: .2 and 20%

3: .75 and 75%

10: (1/10) and 10%

11: (3/5) and 60%

12: (1/4) and 25%

6 0

3 years ago

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