A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons of mass into energy every second. How many tons of mass will be transformed into energy during the star's 10-billion-year lifetime. Hint: Find the number of seconds in 10 billion years.
Answer:
2.20752 x [tex]10^{24}[/tex]
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
365 days refer to the total number of days per year86,400 seconds refer to the number of seconds per dayLet's solve.
365 x 86,400 = 31,536,000 or 3.1536 x [tex]10^{7}[/tex]Therefore, one year has 3.1536 x [tex]10^{7}[/tex] seconds.
Next, you have to know the number of seconds in 10 billion years.
(3.1536 x [tex]10^{7}[/tex]) x (1.0 x [tex]10^{10}[/tex]) = 3.1536 x [tex]10^{17}[/tex]The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
(3.1536 x [tex]10^{17}[/tex]) x 7,000,000 = 2.20752 x [tex]10^{24}[/tex]Mr. Smith has a maximum of $50 to spend at a museum. A ticket to the museum costs $7. He
can spend p dollars to buy other things at the museum. Which inequality can be used to find
the possible values for p?
Answer:
Step-by-step explanation:
After buying the ticket, the amount with him = 50 - 7 = 43
p ≤ 50 - 7
p ≤ 43
Answer:
p≤ 43
Step-by-step explanation:
50-7=43
so now Mr.smith will have $43 to spend
p is less than or equal to 43
1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29
Answer:
D
Step-by-step explanation:
4(z+ 4) + 5 z = 2
4(2+4)+5
4(6)+5
24+5
=29
Answer:
theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions
Step-by-step explanation:
plzz tell me answer of 8 (b) question I can't get the right answer!!!
done
plz mark me brainliest ok
plz follow me
A polling organization contacts 1657 undergraduates who attend a university and live in the United States and asks whether or not they had spent more than $200 on food in the last month.
Step-by-step explanation:
gyJfdgruhj jdjgldnldnpf m xlhsubdkvakvisbd bsojdk slvdm fmbisgdo jSvks
А 1 cm
B. 5 cm
C. 11 cm
D. 25 cm
5 is the answer
here we have hypoteaus and base
so by using pythagoreaus theorem
p^2 = h^2 - b^2
p^2 = 13^2 - 12^2
p^2 = 169 - 144
p^2 = 25
p = root under 25
p = 5
Answer:
5 cm
Step-by-step explanation:
A^2+B^2=C^2
12^2+B^2=13^2
144+B^2=169 (You have to subtract 144 from both sides to get B^2 by its self)
-144 = -144
B^2= 25 (To get rid of the square you have to find the square root)
Square root of 25 = 5cm
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples is a bushel of large apoles, how many small apples are in 1 lb of apples?
Answer: 4 apples in 1 lb
Step-by-step explanation:
Since there are twice as many apples as large apples, you would multiply
2 x 84 = 168
To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.
168/42=4
Therefore, there is 4 apples in 1 lb.
Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)
Have a nice day! :)
How much more than 1/4 cup is 3/4 cup?
Answer:
half a cup
Step-by-step explanation:
75% minus 25% is 50% aka 1 half
Which expressions represent the same value?
Please helpp
Answer:
a and d
Step-by-step explanation:
..... trust me ..... .....
PLS HELP ILL GIVE YOU BRAINLIEST
What is the area of the circle in terms of pi?
Answer:
C=9
Step-by-step explanation:
A = πr^2
A = π 9
9
Need accurate answers only
Please help this is the last question I need I don't get it
400 hope this helps!
May I have brainliest please? :D
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven. a) A list of the names and addresses of all customers who bought the new cars is available. Each customer from a simple random sample of 1,000 customers who bought one of the new cars was asked whether they experienced any mechanical problems within the first 5,000 miles driven. 400 customers from the sample reported a problem. Of the 400 customers who reported a problem, 140 customers, or 32.5%, reported a problem specifically with the power door locks. Explain why 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven.
Answer:
The reason that 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven is that 0.35 does not represent the sample proportion.
The correct sample proportion is 0.14 (140/1,000) and not 0.35 (140/400). It is this that can be used to estimate the population proportion and not 0.35.
Step-by-step explanation:
a) Data and Calculations:
New cars sold by the automobile manufacturer = 30,000
Number of customers that the 30,000 new cars were sold to = 30,000
Simple random sample = 1,000 customers
Number of customers from the SRS that reported a problem = 400
This is equal to 40% of the sample (400/1,000 * 100)
Proportion of customers who reported a problem (specifically) with the power door locks = 140/400 = 0.35
Proportion of customers out of the sample that reported specifically a problem with the power door locks = 140/1000 = 0.14.
Martha went to a restaurant with some friends. The three of them split a large pizza. Martha then ordered a large soda for $5. Martha spent a total of $11. How much was the large pizza? (pls!!!!)
Answer:
$6
Step-by-step explanation:
there was 11 total and 5 went into the soda and 6 went into the pizza so it's 6.
Mr. Lawrence baked 25 cookies. 3 fifths of the cookies were oatmeal. How many oatmeal cookies did Mr. Lawrence bake?
Answer: 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
25÷5=5
5x3=15
15 oatmeal cookies
HELLLP!!!!!
two major cities each have a population of 25,000 people. the population of city A increases by about 260 people per year. the population of city B increases by about 1% every year.
Answer:
City A
Year 0: 25,000
Year 1: 25,260
Year 2: 25,520
Year 3: 25,780
Year 4: 26,040
Year 5: 26,300
City B
Year 0: 25,000
Year 1: 25,250
Year 2: 25,502
Year 3: 25,757
Year 4: 26,014
Year 5: 26,274
In year 5 City B will have a larger population. City B has a more exponetial model while City A is more linear model.
Step-by-step explanation:
Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.
1. Write a function that defines the cousins age as a function of Noah's age.
2. What variable represents the input of this function?
3. What variable represents the output of this function?
4. Write the inverse of the function you wrote.
5. What variable represents the input of the inverse function?
6. What represents the output of the inverse function?
Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 20 feet, the other height and base of 6 feet, and one rectangle measuring 30 feet by 6 feet.
Answer:
398 ft
Step-by-step explanation:
As part of a science experiment, a student observes the growth of a population of bacteria in four different media. The table below lists the observations the student made.
Medium
Observation
1
Population increases by 10 every hour
II
Population decreases by 10 every hour
THI Population increases by 10% overy hour
M Population decreases by 10% every hour
In which media can the change in the population of bacteria be modeled by a linear function?
media I and II
media I and III
media II and IV
media III and IV
Answer:
Step-by-step explanation:
Here is the graph and I’m not sure if my answer is correct or not
(-4 + 3i)(-12 + 6i)
Simplify expression
Answer:
=30−60i
Step-by-step explanation:
Armando has 3 blue shirts, 3 green shirts,
and 2 red shirts. He has 3 pairs of jeans
and 4 pairs of cargo pants. He is equally
likely to wear any of the shirts with any
pair of pants. What is the probability that
Armando will wear a green shirt with cargo pants?
Answer:
0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.
Step-by-step explanation:
Probability:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
The probability of two independent events is the multiplication of their separate probabilities.
Green shirt:
3 green shirts, out of 3 + 3 + 2 = 8 shirts.
So 3/8 probability of green shirts.
Cargo pants:
4 cargo pants, our of 4 + 3 = 7.
So 4/7 probability of cargo shirts.
Green shirt and cargo pants:
[tex]p = \frac{3}{8} \times {4}{7} = \frac{12}{56} = \frac{3}{14} = 0.2143[/tex]
0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.
How many groups of 1 2/3 are in 5/6? Please help
Answer:
2
Step-by-step explanation:
1 2/3 5/6
5/3 -> 10/6 -> 3 1/3
1 2/3 x 2 = 3 1/3
There are [tex]\frac{1}{2}[/tex] groups of the first fraction in the second fraction.
Given the following data:
Fraction 1 = [tex]1\frac{2}{3}[/tex]Fraction 2 = [tex]\frac{5}{6}[/tex]What is a fraction?A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.
The parts of a fraction.In Mathematics, a fraction comprises two (2) main parts and these include:
NumeratorDenominatorNext, we would divide the second fraction by the first fraction as follows:
[tex]Groups = \frac{\frac{5}{6} }{\frac{5}{3} } \\\\Groups = \frac{5}{6} \times \frac{3}{5} \\\\Groups = \frac{3}{6} \\\\Groups = \frac{1}{2}[/tex]
Read more on fractions here: brainly.com/question/368260
PLEASE HELP I WILL GIVE BRAINLIEST EXPLAIN!!!
Answer:
1) $68.40
2)456 tickets
Step-by-step explanation:
1)
They need to raise $8,250.
They have already raised $3,120.
The amount they have still to raise is $8,250-$3,120=$5,130.
There are 75 band members, so the amount yet to raise per member is $5,130/75=$68.40.
2)
The businesses give $0.50 for every $1 in ticket sales, ie. they pay an extra 50% of the total.
Let number of tickets sold=x
Let money made from ticket sales = 7.5x
The total amount of money made is therefore 1.5(7.5x)=11.25x
The minimum amount of tickets to hit $5,130:
$5,130=11.25x
x=456
How many 3/4s are in 2? Draw a Diagram
Answer:
2 2/3
Step-by-step explanation:
2/1 x 4/3 = 8/3 = 2 2/3
The box-and-whisker plot shows the shoe sizes of the soccer players at Wendell Middle School.
Box-and-Whisker Plot
Soccer Players' Shoe Sizes
A
B
CD
E
4
+++++
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Which letter on the box-and-whisker plot corresponds to the maximum shoe size?
Α. Α.
ODD
OB. B
O E E
Answer:
B.
Step-by-step explanation:
AJUDIATION.Gabe Amodeo, a nuclear physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?
Answer:
You need two equations: one for solution amounts and one for alcohol amounts.
Step-by-step explanation:
90 = X + Y
45 = (0.6)/X + (0.3)Y
Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.
From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get
X = 30 liters and Y = 60 liters.
(HELP)matt weighed 60 pounds when he was 8 he now weighs 80 pounds. Find the percent of increase in weight rounded to the nearest tenth
O 20.0%
O 25.0%
O 30.0%
O 33.3%
Answer:
Percent of increase in weight = 33.33% Approx.
Step-by-step explanation:
Given:
Old weight = 60 pound
New weight = 80 pound
Find:
Percent of increase in weight
Computation:
Percent of increase in weight = [(New weight - old weight)/Old weight]100
Percent of increase in weight = [(80 - 60)/60]100
Percent of increase in weight = [(20)/60]100
Percent of increase in weight = 33.33% Approx.
(THIS IS 30 POINTS!!) In Ms. Hollbrook's class, 62% of the class enjoys watching anime. If there are 32 students in Ms. Hollbrooks class, about how many students enjoy watching anime?
A) 12 students
B) 14 students
C) 16 students
D) 20 students
Answer:
D)
Step-by-step explanation:
32*0.62=19.84≈20.
Find the value of x.
65°
(x + 12)
X-53
X = 65
x-77
x = 103
Answer:
The answer is -77
Step-by-step explanation:
Hope this helped! Have a great day!
Help 30 point question!
You're given 3 points (x, y) on the circle with equation
x ² + y ² + Dx + Ey + F = 0
and you have to use these known points on set up 3 equations involving D, E, and F.
For the point (3, -1), this means when x = 3, y = -1, so
3² + (-1)² + 3D - E + F = 0
→ 3D + (-1)E + 1F = -10
The next point (-2, 4) gives
(-2)² + 4² - 2D + 4E + F = 0
→ (-2)D + 4E + 1F = -20
And from the last point (6, 8),
6² + 8² + 6D + 8E + F = 0
→ 6D + 8E + 1F = -100