A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much caffeine would be left in your system after 5 hours? Round to the nearest whole.

Answer:

Step-by-step explanation:

Volume of rectangular prism = 334.8 cubic meter

length * width * height = 334.8

18 * 6 * height = 334.8

[tex]height= \frac{334.8}{6*18}\\[/tex]

= 3.1 m

Answer:

The volume of the pyramid is 16 cm³.

Step-by-step explanation:

The volume of squared-base pyramid is given by the formula:

[tex]V=A\times \frac{h}{3}[/tex]

Here,

V = volume of the squared-base pyramid

A = area of the square base

h = height of the pyramid.

The information provided is:

a = side of square = 4 cm

h = 3 cm

Compute the area of the square base as follows:

[tex]A=a^{2}\\=4^{2}\\=16\ \text{cm}^{2}[/tex]

Compute the volume of squared-base pyramid as follows:

[tex]V=A\times \frac{h}{3}[/tex]

   [tex]=16\times \frac{3}{3}\\\\=16[/tex]

Thus, the volume of the pyramid is 16 cm³.

Answer:

$2.50 per gallon

Step-by-step explanation:

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

Answer:

yes

Step-by-step explanation:

you need to see the differences of the numbers

Answer:

Step-by-step explanation:

10 * 4 = 40 times

It’s 5024 Divide by 314 which equals 16 you got it wrong but good try

Step-by-step explanation:

Answer:

2513

Step-by-step explanation:

A=πr^2

A=π40^2

A=π x 1600

A=5026

5026÷2=2513

Answer:

its 628

Step-by-step explanation:

Answer:

48 cm²

Step-by-step explanation:

They are only asking for the area of the base of the prism, which is the length of the prism times the width of the prism.

B = area of base

l = length = 6 cm

w = width = 8 cm

B = l * w

B = 6 cm * 8 cm

B = 48 cm²

The area of the base of the prism is 48 cm²

Answer:

48

and

336

I just did it

Answer:

71% probability that the athlete is either a football player or a basketball player

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an athlete is a football player.

B is the probability that an athlete is a basketball players.

We have that:

[tex]A = a + (A \cap B)[/tex]

In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.

By the same logic, we have that:

[tex]B = b + (A \cap B)[/tex]

23% of the athletes play both football and basketball.

This means that [tex]A \cap B = 0.23[/tex]

26% are basketball players

This means that [tex]B = 0.26[/tex]. So

[tex]B = b + (A \cap B)[/tex]

[tex]0.26 = b + 0.23[/tex]

[tex]b = 0.03[/tex]

68% of the athletes are football players

This means that [tex]A = 0.68[/tex]. So

[tex]A = a + (A \cap B)[/tex]

[tex]0.68 = a + 0.23[/tex]

[tex]a = 0.45[/tex]

What is the probability that the athlete is either a football player or a basketball player

[tex]A \cup B = a + b + (A \cap B)[/tex]

[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]

71% probability that the athlete is either a football player or a basketball player

Answer:

71%

Step-by-step explanation:

Applying Venn's diagram

probabilty that an athlete plays either football or basketball

P ( A ∪ B ) = a + b + ( A  ∩ B )  equation 1

note:

P ( A ) = a + ( A ∩ B )

( A ∩ B ) = 23% = 0.23

a = P( A ) -  0.23 = 0.68 - 0.23 = 0.45

P ( B ) = b + ( A ∩ B )

b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03

back to equation 1

P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )

                 = 0.48 + ( 0.23 ) = 0.71 = 71%

P( A ) = probability of football players

P ( B ) = probability of basketball players

a = probability of playing football but not basketball

b = probabilty of playing basketball but not football

To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.

To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.

Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.

10 × 3 = 30
30 ÷ 2 = 15

Therefore, there are 15 locks on the canal.

https://brainly.com/question/2273245

#SPJ2

The statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

Given ΔJKL with a midsegment of GH as shown in the diagram attached below:

GH is the midsegment

KL is the base (third side)

Therefore, the statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

Learn more about the midsegment theorem on:

https://brainly.com/question/8370301

Answer:

Option A is correct.

The height of both oblique and right prisms is ALWAYS the perpendicular distance between the bases.

Step-by-step explanation:

Prisms are 3-D shapes that have two parallel faces (called bases) separated at some distance apart (the height of the prism) with the lateral face in between the two parallel bases.

For right prisms, the lateral face is a rectangle while it is a parallelogram for oblique prisms.

The height of a prism is the perpendicular distance between the two bases. In a right prism, the height is a lateral edge as this edge is equal to the perpendicular distance between the two bases.

In the case of the oblique prism, the height is the shortest line segment between the extended bases, the perpendicular distance between the two bases.

So, the height isn't always a length of a lateral edge, isn't always longer than the altitude of the prism and isn't always drawn vertically as the prism sometimes is pictured not resting on its bases, leading to the height drawn horizontally.

So, only option A is totally correct.

Hope this Helps!!!

Answer:

60

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

We are required to evaluate:

0.1m+8-12n

When [tex]m=30, n=\frac{1}{4}[/tex]

Substituting these values into the expression, we have:

[tex]0.1m+8-12n=0.1(30)+8-12(\frac{1}{4})\\=3+8-\frac{12}{4}\\=3+8-3\\=8[/tex]

After evaluating the expression the value is 8.

Evaluating the Expression

To evaluate the expression 0.1m + 8 - 12n when m = 30 and n = \frac{1}{4}, we need to follow these steps:

Substitute m and n into the expression:

0.1(30) + 8 - 12 [tex]\left(\frac{1}{4}\right)[/tex]

Calculate 0.1(30):

0.1 [tex]\times[/tex] 30 = 3

Calculate 12[tex]\left(\frac{1}{4}\right):[/tex]

12 [tex]\times \frac{1}{4}[/tex] = 3

Substitute these values back into the expression:

3 + 8 - 3

Simplify the expression:

3 + 8 = 11

11 - 3 = 8

Thus, the value of the expression is 8.

Answer:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Answer:

I think its 5.5

Step-by-step explanation:

Answer:

Where's the data?

Step-by-step explanation:

Answer:

Bob was looking for a shade sail that was big enough and wide to cover his hotube. The legs were 6 by 8 but he didnt know how long the hypotinuce was. So he use pythagorean theorm to sove fot the unknown side.

A^2 + B^2 = C^2 --> 6^2 + 8^2 = C^2 --> he square rooted the 6 and 8 and got (36 + 64 = c^2) 100 to get c he had to squar root that. He found out that the missing side was 10 inch long.

Step-by-step explanation:

Answer:

The rate is 0.42 pumpkin pies per person

Step-by-step explanation:

In this question, we are to calculate the amount of pie eaten per person.

This is a rate question.

We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.

The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons

Mathematically that would be 5/12 = 0.42 pies per person approximately

Answer:

x = 92

Step-by-step explanation:

The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus

x = 2 × 46 = 92

Combine like terms

1. Add 3b and 5b (combine like terms)

2. After adding you are supposed to get 8b

3. The -2 would stay as it is because we can't add it to 8b

4. So the answer would be 8b-2

Answer: V = 97.08 or B.

Step-by-step explanation: Hope this helps.

Answer:

its answer is 30.9[tex]\pi inch^{3}[/tex]

Step-by-step explanation:

given

radius (r) = 3 inch

height (h) =10.3 inch

Now

Volume of cone

= 1/3 * [tex]\pi[/tex]* [tex]r^{2} *h[/tex]

= 0.33 * 3 * 3 * 10.3 [tex]\pi[/tex]

= 30. 9[tex]\pi[/tex] inch ^3

Answer:

Each steamer costs $2.5 and each party hat costs $1.5

Step-by-step explanation:

Let the cost of 1 steamer =x

Let the cost of 1 party hat =y

Three rolls of streamers and 15 party hats cost $30

Two rolls of streamers and four party hats for $11.

We solve the two equations simultaneously.

Multiply equation 1 by 2 and equation 2 by 3

6x+30y=60

6x+12y=33

Suntract

18y=27

y=1.5

From 6x+30y=60

6x+30(1.5)=60

6x+45=60

6x=60-45=15

x=2.5

Since x=2.5 and y=1.5

Each steamer costs $2.5 and each party hat costs $1.5

Answer:

each role of streamers cost $2.5

each party hat cost $1.50

Step-by-step explanation:

Let 's' represent rolls of streamers and 'h' represent party hats

Lets form an equation first

=>For three rolls of streamers and 15 party hats cost $30.

3s + 15h = 30

s= (30-15h)/3 ----> eq(1)

=>For 2 rolls of streamers and 4 party hats cost $11.

2s + 4h = 11

s= (11 -4h)/2 ----> eq(2)

Lets equate eq 1 and 2 in order to find 'h'

(30-15h)/3= (11 -4h)/2    ---->(applying cross multiplication)

60 - 30h = 33 - 12h

60-33 = 30h -12h

27 = 18 h

h= 27/18 => 1.50

therefore, each party hat cost $1.50

substitute above value in eq 1

(1)=> s= (30-15h)/3

s= 30-(15  x 1.5) / 3

s= 2.5

Therefore, each role of streamers cost $2.5

Answer:

Step-by-step explanation:

When a function f(x) is transformed by ...

  g(x) = a·f(x -h) +k

it has been vertically scaled by a factor of "a" and translated to the right and up by amounts h and k, respectively.

Here, we have a=2, h=-3, and k=-7. The means ...

  The function has been vertically expanded by a factor of 2, translated left 3 units, and translated down 7 units.

Answer:4.5

Step-by-step explanation:

2+3+1=6, 3 divided by 6 equals to 1/2. 1/2 times 9 equals 4.5 pounds of walnuts

Answer:

4.5

Step-by-step explanation:

Since the pecan to walnut to cashew ratio is 2:3:1, it follows that the walnut ratio to all of the nuts is equal to 3/2+3+1. Thus, there were 1/2 x 9 = 4.5 pounds of walnuts in the mixture.

Step-by-step explanation:

28.75-20=8.75

8.75/7= 1.25

each cup costs $1.25

Answer:

15

Step-by-step explanation:

TV = TU+UV

     = 12 + 3

TV = 15

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

The conditions for using a one proportion z-test are likely met as the sample of 2100 employees is assumed to be randomly selected, independent, and satisfies the success-failure condition, allowing for comparison of the company's age distribution with the surrounding population.

To check whether the conditions for using a one proportion z-test are met, we need to ensure that the following conditions are satisfied:

1. **Random Sample**: The sample of 2100 employees should be selected randomly from the population.

2. **Independence**: The selection of one employee should not influence the selection of another. This condition is typically assumed to be met if the sample size is less than 10% of the population size.

3. **Success-Failure Condition**: The number of successes (employees aged between 40 and 65) and failures (employees not aged between 40 and 65) in the sample should each be at least 10.

Let's check each condition:

1. **Random Sample**: If the company's hiring process is unbiased and follows fair employment practices, then this condition is likely met.

2. **Independence**: With 2100 employees selected, it's reasonable to assume that this condition is met, especially if the population of potential employees is large.

3. **Success-Failure Condition**: We have:

  - Number of successes: [tex]\(2100 \times 0.02 = 42\)[/tex]

  - Number of failures: [tex]\(2100 - 42 = 2058\)[/tex]

  Both 42 and 2058 are greater than 10, so the success-failure condition is met.

Since all three conditions are satisfied, the company's distribution of ages among its employees can be analyzed using a one proportion z-test to compare it with the population distribution.

Answer:

d

Step-by-step explanation:

The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.

An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.

The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.

Alright!

In order to properly compare these numbers, they need to look the same!

Lets change 2 8/24 into a decimal.

To do this, we need to convert it into an improper fraction

Follow these steps:

[tex]2 \frac{8}{24} \\[/tex]

We multiply the whole number (2) by the denominator (24) and then add the numerator (8). The improper fraction will keep the same denominator (24) at the end.

2 × 24 = 48

48 + 8 = 56

[tex]\frac{56}{24}[/tex]

Now, lets use a calculator to see what 56/24 is!

56 ÷ 24 = 2.33

237.5 is GREATER than [tex]2 \frac{8}{24} \\[/tex]

Hope I helped! Comment if you have questions :)