What is the reciprocal of 2 2/3
Canada has a population that is 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your answer.
Answer:
Step-by-step explanation:
Let the American Population = x
1/10 x = 32,000,000 Multiply by sides by 10
x = 320,000,000 Thirty two followed by 7 zeros is the population of America.
Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4. (2 points)
Greatest common factor of 8 and 14?
a hallway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning solutions per square foot. how much cleaning solution is required
If $3500 is invested at the rate of 8%, compounded quarterly, what will be the value of the investment 17 years from now, assuming no withdrawals?
One card is selected at random from an ordinary deck of 52 playing cards. let a = event a face card is selected
Solve for the indicated variable
D = 2zv for v
First option is correct i.e. [tex]v = \frac{D}{2z}[/tex] .
What is variable in an equation?Variable is a symbol( usually a letter) standing in for an unknown numerical value in an equation.
How to solve an equation for the variable?To solve or isolate a variable means to get the variable on one side of the equation by itself.
According to the given question
we have an equation
D = 2zv and to solve for variable v
For solving the above equation for the variable v, make the variable v on one side of the equation by itself.
⇒ [tex]\frac{D}{2z} = \frac{2zv}{2z}[/tex] ( dividing both the sides by 2z)
⇒ [tex]v = \frac{D}{2z}[/tex]
Hence, option first is correct.
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A father is 60 years old and his son is half his age. How old was the boy when his father was four times his age?
ok so what is is the square root of 1234 i dot know
sqrt(1234) = 35.1283
you don't say how it should be rounded, so round off as needed
negative 2 to the 3 power
What is the answer, with the correct number of decimal places, for this problem? 4.392 g + 102.40 g + 2.51 g =?
The summation of 4.392 g + 102.40 g + 2.51 g with three decimal places is 109.302 g.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million.
Given the expression for sum,
4.392 g + 102.40 g + 2.51 g
⇒ (4.392 + 102.40 + 2.51)g
⇒ 109.302 g
Hence "The summation of 4.392 g + 102.40 g + 2.51 g with three decimal places is 109.302 g".
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The sum of the masses 4.392 g, 102.40 g, and 2.51 g is 109.30 g.
Explanation:A summation, which can sometimes be shortened to "sum," is the result of multiplying two or more quantities by one another. A summation always has an integer number of terms. One hundred, thousand, or a million phrases could exist, but there could only be two.
The sum of the masses 4.392 g, 102.40 g, and 2.51 g is 109.302 g.
To ensure the correct number of decimal places, we need to consider the measurement with the least number of decimal places, which is 2.51 g.
Since 2.51 g has two decimal places, we round the sum to two decimal places as well.
Therefore, the answer is 109.30 g.
Anoav uses which statistical distribution to determine the significance of the results
Find the volume: in cm 7cm high 3cm wide 2 cm long
Find the surface area of x^2+y^2+z^2=9 that lies above the cone z= sqrt(x^@+y^2)
Find The Perimeter Of The Shaded Region
90 ft
58 ft
24 ft
38 ft
Answer:
38 ft
Step-by-step explanation:
Perimeter of the rectangle = 2* length + 2* width
Length of shaded part = Length of the larger rectangle - 4 = 11ft
width of the shaded part = width of the larger rectangle - 6 = 8 ft
Perimeter of the rectangle = 2* length + 2* width
Plug in the values of length and width
Perimeter of the shaded rectangle= 2(11) + 2(8)= 22+ 16= 38 feet
1. 8 7/16 - (-2 4/9)
8 7/16 - (-2 4/9) =
8 7/16 + 2 4/9 =
8 7/16 = 135/16 = 1215/144
2 4/9 = 22/9 = 352/144
1215/144 + 352/144 = 1567/144 =10 127/144
hat are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1728 cm^3?
The product of height and square of the radius of the open-top right circular cylindrical should be equal or more than 550 cm³ in order to hold a volume of 1728 cm³.
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of the cylinder is = πr²h
In order to hold the volume of 1728 cm³,
πr²h ≥ 1728
r²h ≥ 550
Thus, the product of height and square of the radius of the open-top right circular cylindrical should be equal to or more than 550 cm³ in order to hold a volume of 1728 cm³.
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Milla and Luka are 3 kilometers apart and walking toward each other. Milla's average speed is 5 kilometers per hour and Luka's is 4 kilometers per hour.
Which equation can be used to find t, the time it takes for Milla and Luka to meet?
5t + 4t = 1
5t + 4t = 3
5t – 4t = 0
5t – 4t = 3
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
Speed of Milla = 5 km per hour
Speed of Luka = 4 km per hour
Distance between Milla and Luka = 3 km
Let the time be 't'.
As we know that
[tex]Distance=Speed\times time[/tex]
So, it becomes,
Distance covered by Milla + Distance covered by Luka = Total distance
[tex]5t+4t=3[/tex]
Hence, Second option is correct.
i need to know the solution using a fraction or integer to 3 more than the product of 7 and a number x is less than 26
A rectangular container that has a length of 30 cm a width of 20 cm and her height of 24 cm is filled with water to a depth of 15 cm when an additional 6.5 L of water are poured into the container some water overflows. How many liters of water overflow the container?
30 x 20 x 24 = 14400 cubic cm
30 x 20 x 15 = 9000 cubic cm
14400-9000 = 5400 cubic cm left
1 cubic cm = 0.001 liters
5400x 0.001 = 5.4 liters
6.5-5.4 = 1.1 liters overflow
1.1 L
Further explanationGiven:
A rectangular container that has:
a length of 30 cm,a width of 20 cm, anda height of 24 cmIt is filled with water to a depth of 15 cm.
When an additional 6.5 L of water are poured into the container, some water overflows.
Question:
How many liters of water overflow the container?
The Process:
Step-1: calculate the volume of rectangular container
[tex]\boxed{ \ V = length \times width \times depth \ }[/tex]
[tex]\boxed{ \ V = 30 \times 20 \times 24 \ }[/tex]
[tex]\boxed{ \ V = 14,400 \ cm^3 \ }[/tex]
The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.
Step-2: calculate the volume of water filled in the container to a depth of 15 cm
[tex]\boxed{ \ V = length \times width \times depth \ }[/tex]
[tex]\boxed{ \ V = 30 \times 20 \times 15 \ }[/tex]
[tex]\boxed{ \ V = 9,000 \ cm^3 \ }[/tex]
The volume of water filled is 9,000³ cm, then converted to 9 L.
Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.
The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.
The volume of water overflow = [tex]\boxed{ \ 9 \ L + 6.5 \ L - 14.4 L \ }[/tex]
Thus, the volume of water overflow of the container is 1.1 L.
Notes:
[tex]\boxed{ \ 1 \ cm^3 = 1 \ mL \ }[/tex]
[tex]\boxed{ \ 1,000 \ cm^3 = 1 \ L \ }[/tex]
[tex]\boxed{ \ 1 \ dm^3 = 1 \ L \ }[/tex]
Learn moreWhat is the volume of this rectangular prism? https://brainly.com/question/11613210Find out the area of a trapezoid brainly.com/question/2280236Find out the area of a cube brainly.com/question/12613605#Keywords: a rectangular container, has a length of 30 cm, a width of 20 cm, height of 24 cm, is filled with water, to a depth of 15 cm, an additional 6.5 L of water, are poured into the container, some water overflows, the formula, volume
rewrite y=x^2-6x+2 then state whether the vertex is maximum or minimum and give its coordinates
How to solve this problem?
11)
x*y = -5*2 = -10, absolute value is 10
y*z = 2 * -2 = -4, absolute value is 4
10+4 = 14
Find a general solution to the differential equation 2y''-5y'-3y=0
Two trains leave a train station traveling different directions. The first train travels 12 miles west, then 6 miles north. The second train travels 20 miles east, then 35 miles north.
a. The train station is the origin. What is the coordinate of each train?
b. Using the city center and the stop point of the first train, what is the slope of the line? Is it horizontal, vertical or neither? Write the equation of the line in slope-intercept form and standard form.
c. The city wants to build a train station 2 miles directly north of the first train station. They are going to build a train track parallel to the path the first train would’ve traveled if it were a direct route from the city center. What would be the equation of the line in slope intercept form of the new track?
Answer:a. first (-12,6) second (20,35)
b. y = -1/2x, 2y + 1x = 0 (neither horizontal or vertical)
c. y= -1/2x + 2.
Step-by-step explanation:
What is the length of time a loan will last if it has a rate of 0.02, a principal of $500, and it accrued $60 of interest if Interest = Principal * Rate * Time. How would you reduce the time of the loan?
T=I÷pr
T=60÷(500×0.02)
T=6 years <-- Answer
8meters long 4 meters wide and 2 meters deep.What is the volume of the pond.
Consider the following.
Point
(-5, 4)
Line
x + y = 7
(a) Write the slope-intercept form of the equation of the line through the given point and parallel to the given line.
(b) Write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line.
From the 11
male and 6
female sales representatives for an insurance company, a team of 3
men and 2
women will be selected to attend a national conference on insurance fraud.
In how many ways can the team of 5
be selected?
3 1/6 divided by 5/8
The result of 3 1/6 divided by 5/8 is equal to 76/15.
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction.
In this case, 3 1/6 can be written as an improper fraction as (3 × 6 + 1) / 6 = 19/6.
Next, we can multiply the numerator of the fraction by the reciprocal of the divisor.
The reciprocal of 5/8 is 8/5.
So, (19/6) ÷ (5/8) = (19/6) × (8/5) = (19 × 8) / (6 × 5) = 152/30.
The fraction 152/30 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2. So, (152/30) ÷ 2 = 76/15.
Therefore, 3 1/6 divided by 5/8 is equal to 76/15.
Final answer:
To find the result of 3 1/6 divided by 5/8, convert the mixed number to an improper fraction, multiply by the reciprocal of the divisor, and simplify the resulting fraction. The answer is 5 1/15.
Explanation:
The student's question 3 1/6 divided by 5/8 is a mathematics problem that involves division of mixed numbers and fractions. To solve this problem, the student first needs to convert the mixed number into an improper fraction. To do this, the student multiplies the whole number by the denominator of the fractional part and then adds the numerator:
Multiply 3 (the whole number) by 6 (the denominator of the fractional part): 3 x 6 = 18.
Add the numerator (the fractional part's numerator, which is 1): 18 + 1 = 19. So, 3 1/6 becomes 19/6.
The next step is to divide 19/6 by 5/8. In division of fractions, you multiply by the reciprocal of the divisor. The reciprocal of 5/8 is 8/5.
Therefore, you multiply 19/6 by 8/5: 19/6 x 8/5.
Perform the multiplication of numerators and denominators: 19 x 8 = 152 and 6 x 5 = 30.
The result is 152/30. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
The simplified answer is 76/15, or as a mixed number, 5 1/15.
This shows that 3 1/6 divided by 5/8 is 5 1/15.