Where would we find the point (–10,0)? A. Quadrant III B. y-axis C. Quadrant II D. x-axis
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 x and y intercepts of 10x-15y=30
What is the future value of $20 a week for 10 years at 6 percent interest? assume the first payment occurs at the end of this week?
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
A rectangle or shaped swimming pool has a perimeter of 104 feet and is 4 feet longer than 3 times its width. Find its dimensions.
EASY 5 POINTS!!! This box has the same length, width, and height as the 2 basketballs. Which expression gives the volume of the empty space encircling the basketballs inside the box?
the upper left on TTM Trust
What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?
Answer:
the quotient of this problem is 3x^3+6x^+8x+24+47/x-2
Children of age 3-6 years require 25% less sleep per day than infants, who need 16hours. How much slee do the 3-6 year olds need?
The quotient of 8.4x10^9 and a number n results in 5.6 x 10^27 What is the value of n?
Answer:
[tex]1.5\times 10^{-18}[/tex]
Step-by-step explanation:
We have been given that the quotient of [tex]8.4\times 10^9[/tex] and a number n results in [tex]5.6\times 10^{27}[/tex]
To find the value of n we will write our given information in an equation as:
[tex]\frac{8.4\times 10^9}{n}=5.6\times 10^{27}[/tex]
[tex]\frac{8.4\times 10^9}{5.6\times 10^{27}}=n[/tex]
Using quotient rule of exponents [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] we will get,
[tex]\frac{8.4\times 10^{9-27}}{5.6}=n[/tex]
[tex]\frac{8.4\times 10^{-18}}{5.6}=n[/tex]
[tex]1.5\times 10^{-18}=n[/tex]
Therefore, the value of n is [tex]1.5\times 10^{-18}[/tex].
Greatest common factor of 8 and 14?
Evaluate the given integral by making an appropriate change of variables, where r is the rectangle enclosed by the lines x - y = 0, x - y = 7, x + y = 0, and x + y = 6.
rewrite y=x^2-6x+2 then state whether the vertex is maximum or minimum and give its coordinates
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
The amount In a savings account increased from $300 to $309. What was the percent of increase?
Final answer:
The amount in the savings account increased by 3%. This was calculated by determining the amount of the increase ($9), dividing by the original amount ($300), and then multiplying by 100 to get the percent increase.
Explanation:
The question is asking to calculate the percent of increase in the amount of money in a savings account that went from $300 to $309. To determine the percent increase, you subtract the original amount ($300) from the new amount ($309) to find the amount of the increase, which is $9. Then, you divide the increase ($9) by the original amount ($300) and multiply by 100 to get the percentage:
Percent Increase = (Increase ÷ Original Amount) × 100%
Percentage Increase = ($9 ÷ $300) × 100% = 0.03 × 100% = 3%
Therefore, the percent of increase is 3%.
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?
The table shows the values of why are different values of X which equation shows the relationship between X and y
X y
0 0
1 7
2 14
3. 21
Let x and y represent two real numbers. Write an algebraic expression to denote the quotient obtained when the product of the two numbers is divided by their sum.
An algebraic expression to denote the quotient obtained when the product of the two numbers is divided by their sum is (xy)/(x+y).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that let x and y represent two real numbers. The expression to denote the quotient obtained when the product of the two numbers is divided by their sum is written as,
E = (xy)/(x+y).
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PLEASE HELP ME!!! NOT GOOD AT MATH.
A new car dealer offered to sell her demonstrator model for 90% of the retail price. If the sale price was $9,750, what was the retail price?
90% = 9,750
9750/90 = 1%
1% = 108.3
100% = 10,833.3
original retail price = $10,833.30
A team of 10 players is to be selected from a class of 6 girls and 7 boys. Match each scenario to its probability. You have to drag the sentences to match probabilities.
Possible probabilities are:
0.07
0.12
0.44
0.49
Options for answers are:
The probability that a randomly chosen team includes all 6 girls in the class.
The probability that a randomly chosen team has 3 girls and 7 boys.
The probability that a randomly chosen team has either 4 or 6 boys.
The probability that a randomly chosen team has 5 girls and 5 boys.
Answer:
0.07 -The probability that a randomly chosen team has 3 girls and 7 boys.
0.12 -The probability that a randomly chosen team includes all 6 girls in the class.
0.44 -The probability that a randomly chosen team has 5 girls and 5 boys.
0.49-The probability that a randomly chosen team has either 4 or 6 boys.
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When a team of 10 players is to be selected from a class of 6 girls and 7 boys the probability of each scenario occurring is:
0.07 = The probability that a randomly chosen team has 3 girls and 7 boys.
0.12 = The probability that a randomly chosen team includes all 6 girls in the class.
0.44 = The probability that a randomly chosen team has 5 girls and 5 boys.
0.49 = The probability that a randomly chosen team has either 4 or 6 boys.
What is probability?
In simple words, it refers to a numerical guess of how likely an event is to occur. Hence, when it comes to probability we believe there is no guarantee the event would occur.
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Elaine's jewelry box has a volume of 36 cubic centimeters. Which of the following could be the dimensions of Elaine's jewelry box? Choose all answers that apply: A 12 cm long, 12 cm wide, 12 cm high B. 4cm long, 4 cm wide, 2 cm high C 3 cm long, 4 cm wide, 3 cm high
Answer:
Option C is the correct answer.
Step-by-step explanation:
Volume of box = Length x width x height.
Volume of box = 36 cubic centimetres.
Option A:
Length = 12 cm
Width = 12 cm
Height = 12 cm
Volume = 12 x 12 x 12 = 1728 cubic centimetres.
Option A is wrong.
Option B:
Length = 4 cm
Width = 4 cm
Height = 2 cm
Volume = 4 x 4 x 2 = 32 cubic centimetres.
Option B is wrong.
Option C:
Length = 3 cm
Width = 4 cm
Height = 3 cm
Volume = 3 x 4 x 3 = 36 cubic centimetres.
Option C is correct.
Option C is the correct answer.
A bridge hand is made up of 13 cards from a deck of 52. find the probability that a hand chosen at random contains at least 3 kings kings.
Final answer:
The probability that a bridge hand chosen at random contains at least 3 kings is 0.0000244.
Explanation:
To find the probability that a bridge hand chosen at random contains at least 3 kings, we need to first determine the total number of possible bridge hands and then calculate the number of favorable outcomes.
The total number of bridge hands is calculated using the combination formula: C(52, 13) = 52! / (13! * (52-13)!) = 635,013,559,600.
To calculate the number of favorable outcomes, we count the number of ways we can select 3 kings and then fill the remaining 10 positions with the remaining 39 cards. The number of ways to select 3 kings is C(4, 3) = 4 and the number of ways to fill the remaining 10 positions is C(48, 10) = 17,259,390.
Therefore, the probability is given by: P(At least 3 kings) = favorable outcomes / total outcomes = (4 * 17,259,390) / 635,013,559,600 = 0.0000244.
the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers
Final answer:
To find the two numbers, we created a system of equations with the sum being 70 and the larger number as five less than twice the smaller number. Solving the equations, we found that the smaller number is 25 and the larger number is 45.
Explanation:
The question asks us to find two numbers where the sum is 70, and the larger number is five less than twice the smaller number. To solve this, we'll set up a system of equations with two variables, which we'll call x and y. The first equation would be x + y = 70, since their sum is 70. The second equation is derived from the statement that the larger number is five less than twice the smaller number, which can be expressed as y = 2x - 5. Now we substitute the second equation into the first to solve for x. We get x + (2x - 5) = 70. Simplifying, we have 3x - 5 = 70, thus 3x = 75, and therefore x = 25. With the smaller number found, we can determine the larger number using the second equation y = 2(25) - 5, resulting in y = 45. Hence, the two numbers are 25 and 45.
Write the equation of a circle with a center at (–7, –7) and a radius of 7
Final answer:
The equation of a circle with a center at (-7, -7) and a radius of 7 is [tex](x + 7)^2 + (y + 7)^2 = 49.[/tex]
Explanation:
The equation of a circle is typically expressed in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. For a circle with a center at (–7, –7) and a radius of 7, the equation would be (x + 7)² + (y + 7)² = 7². Here, we squared the radius to get 49, which gives us the final equation (x + 7)² + (y + 7)² = 49.
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
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
A mixture of
12%
disinfectant solution is to be made from
10%
and
17%
disinfectant solution. How much of each solution should be used if
28
gallons of the
12%
solution are needed?
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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If Ying Zyiyu covers the first 200 miles of a trip going 50mph. and the last hundred going 40mph, what was his average speed for the entire trip?
Answer:
46.15
Step-by-step explanation:
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