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Rudik [331]
3 years ago
8

A sample of rock is found to contain 100 grams of a parent isotope. How many grams of the parent isotope will remain after two h

alf-lives?
Answer







50








100








75








25
Mathematics
2 answers:
stepan [7]3 years ago
8 0
After first half life: 100/2 = 50 grams is left
After second half life: 50/2 = 25 grams is left.
Andrew [12]3 years ago
5 0

Answer:

Option D - 25

Step-by-step explanation:

Given : A sample of rock is found to contain 100 grams of a parent isotope.

To find : How many grams of the parent isotope will remain after two half-lives.

Solution : A sample of rocks contain parent isotope  = 100 gram

After one half life of the parent isotope i.e. divided by 2

\frac{100}{2}=50

After two half lives of the parent isotope means again divide one-half life by 2

 \frac{50}{2}=25

Which means 25 gram of the parent isotope will remain after two half lives.

Therefore, Option D is correct -25


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Connor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes. What is the total numb
ladessa [460]

Answer:

Option D - 60

Step-by-step explanation:

Given : Connor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes.

To find : What is the total number of straws Connor used to make all the shapes?              

Solution :

To make 1 shape Connor required 5 straws.

To make 9 shape connor required 9\times 5=45 straws.

Now, there were 45 straws.

Conor used 15 more straws to make more shapes.

The total number of straws Connor used to make all the shapes are

45+15=60

Therefore, Option D is correct.

Cannor used 60 straws to make shapes.

3 0
3 years ago
Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner fo
Jet001 [13]

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 week, it will cost her the same at either company

h(x) = 5x - 5

Step-by-step explanation:

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5

Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:

For company A: f(x) = 15(7x)

For company B: g(x) = 100x + 5  

h(x) = f(x) – g(x) represents the difference between the two rate structures.

h(x) = f(x) - g(x) = 15(7x) - (100x + 5)

h(x) = 105x - 100x - 5

h(x) = 5x - 5

If Marguerite rents for 2 weeks:

The cost for company A = 15(7x) = 15(7 × 2) = $210

The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 weeks:

The cost for company A = 15(7x) = 15(7 × 1) = $105

The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105

If Marguerite rents for 1 week, it will cost her the same at either company

7 0
3 years ago
From 4 p.m. to 5:30 p.m., Carolos, Lisa and Toni took turns playing the same computer game. Carolos played for 1/2 hour, and Lis
kkurt [141]

Hi!

From 4 p.m to 5:30 p.m. there is hour and a half, or 90 minutes.

Carolos played for 1/2 hour = 30 minutes.

Lisa played for 3/4 hour = 45 minutes.

Toni played = 90 - 45 - 30 = 15 minutes.

Hope this helps!

7 0
3 years ago
What side do DEC and EDB have in common?
pav-90 [236]

<u><em>Answer:</em></u>

DE is the common side in the two triangles


<u><em>Explanation:</em></u>

The side of the triangle is named based on its start and end points

A triangle is named based on its three vertices where each two vertices would join forming a side


<u>For ΔDEC, the sides are:</u>

DE, EC and DC


<u>For ΔEDB, the sides are:</u>

ED, DB and EB


By comparing the two triangles, we would find that DE is the common side in both triangles


Note: The visual illustration is in the attached image


Hope this helps :)

7 0
2 years ago
Read 2 more answers
Enter the solutions from least to greatest. -2x^2 -9=-107
ASHA 777 [7]

Answer:

x = -7, 7

Step-by-step explanation:

Step 1: Write out equation

-2x² - 9 = -107

Step 2: Add 9 on both sides

-2x² = -98

Step 3: Divide both sides by -2

x² = 49

Step 4: Square root both sides

x = ±7

Step 5: Arrange

-7 < 7

So x = -7, 7

3 0
3 years ago
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