The equation to determine the number of miles, m, you must run per day is B. 5m + 5.6 = 20; m = 2.88
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. An equation is not the same as a mathematical expression. The equal (=) operator is always used to join two mathematical expressions in an equation.
In mathematics, an equation is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3y = 16, for instance. Equations can be categorized into one of the following three categories depending on their degree:
linear formulaquadratic formulaCubic problemIn this scenario, the person must run a total of 20 miles per week and ran 5.6 miles in the first two days of the week.
Let the number of miles for the remaining 5 days be m.
This will be:
5m + 5.6 = 20;
Solving for m = will give 2.88.
In conclusion, the correct option is B.
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2. Which of the following inequalities would represent the graph shown?
f(x) ≤ √1-x
f(x) < √1-x
f(X) > √1-x
f(x) ≥ √1-x
Answer:
[tex]f(x) > \sqrt{1 -x}[/tex]
which is the third choice
Step-by-step explanation:
We could just plot each and see which plot corresponds to the given graph
However, that is not necessary.
First note that the plot is a dotted line. This means the inequality is either a < inequality or a > inequality. If it were a ≤ or ≥ inequality, the plot of the line would be a solid line
That eliminates first and last choices
To see which of the remaining two options fits the graph, take a point in the shaded region and see which one satisfies which inequality .
Checking second choice....
Point (0, 2) is in the shaded region
Does (0, 2) satisfy the second choice: [tex]f(x) < \sqrt{1-x}\;\; ?[/tex]
Let's check by substituting 0 for the value of x
[tex]1-x = 0\; so \; \sqrt{1-x} = \sqrt{0} = 0[/tex]
But the corresponding value of y should be 2, not 0 so this inequality is not satisfied for a point in the shaded region. Eliminate second choice
Third choice is the correct answer
Identify the expression that can be used to solve 335 ÷ 5 = ___.
(200 ÷ 5) + (35 ÷ 5)
(250 ÷ 5) + (35 ÷ 5)
(300 ÷ 5) + (35 ÷ 5)
(350 ÷ 5) + (35 ÷ 5)
Answer:
(300 ÷ 5) + (35 ÷ 5)
Step-by-step explanation:
You want an expression that has the same value as 335÷5.
EquivalentsThe given division expression can be rewritten as ...
[tex]335\div5=\dfrac{335}{5}\\\\=\dfrac{300+35}{5}=\dfrac{300}{5}+\dfrac{35}{5}\\\\=\boxed{(300\div5)+(35\div5)}[/tex]
Write an algorithm to find the volume of 5 cubes ?
Volume of a cube = 5 * 5 * 5; Volume of a cube = 125 The Lateral Surface Area of a Cube is Lateral Surface Area of a cube = 4 * length * length
What is the greatest common factor of 30, 21, and 56?
Answer:
Step-by-step explanation:
For 30: 1,2,3,5,6,10,15,30
For 21: 1,3,7,21
For 56: 1,2,4,7,8,14,28,56
Because you always go times it by the number. Example is: 1 is always in the factors (Doesn't matter if it's the least common factor or whatever) because whatever you times by 1, it's that answer. Or you can look at the answer, (I'm doing the 30) First, find the middle which is 5 and 6. You times 5 and 6 and it will give you 30. People call it a rainbow, 5x6=30, 3x10=30, 2x15=30, and 1x30=30.
I hope this helps
In a survey conducted by the Gallup organization on September 1017 adults were asked how confident they are in the media accurately reporting news. 81 said that they had a great deal of confidence. 325 said that they had a fair amount of confidence. 397 said they had not a lot of confidence. 214 said they had no confidence at all. Suppose the parameter of interest is the proportion of U.S adults who have no confidence at all. Use the data to estimate this parameter.
To estimate the proportion of U.S adults who have no confidence at all in the media accurately reporting news, you can use the following steps:
Calculate the total number of adults surveyed by the Gallup organization. You can do this by adding the number of adults who said they had a great deal of confidence, a fair amount of confidence, not a lot of confidence, and no confidence at all:
Total number of adults = 81 + 325 + 397 + 214 = 1017
Calculate the proportion of adults who have no confidence at all by dividing the number of adults who said they had no confidence at all by the total number of adults:
Proportion of adults with no confidence = 214 / 1017
= 0.2113
Therefore, the estimated proportion of U.S adults who have no confidence at all in the media accurately reporting news is approximately 0.2113, or 21.13%. This represents the proportion of adults who responded "no confidence at all" to the survey question.
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Suppose you get $1000 from your uncle. you deposited that money in a bank and added $15 per month.
Write an equation to model how much money you have deposited after m months. Let s be the amount you have deposited.
What equation would you solve to figure out how many months it would take to save $10,000 dollars?
How many months would it take to save $10,000?
Answer:
s = 1000 + 15m
Save $10,000 equation: 10,000 + 15 m
Months it takes to save = 600 months
Step-by-step explanation:
You first deposit the $1000 your uncle gave you and then, each month, you add $15. So the first month the account will have,
1000 + 15
After the second month, it will have,
1000 + 15 + 15
And so on. Therefore, the equation that models your savings s after m months is,
s = 1000 + 15m
If we want to find how many months it will take to save $10,000 we have to solve the equation for s = 10,000:
10,000 = 1000 + 15m
To solve it, subtract 1000 from both sides of the equation,
10,000 - 1000 = 1000 - 1000 + 15m
9000 = 15m
And divide both sides by 15,
9000/55 = 55m/55
600 = m
It will take 600 months to save $10,000.
what is 3/4n+(8+1/3z)
Answer:
{9n+4z+96}{12}]
Step-by-step explanation:
Combine multiplied terms into a single fraction
{3}{4}n+(8+{1}{3}
{3n}{4}+(8+{1}{3}
Combine multiplied terms into a single fraction
{3n}{4}+(8+{1}{3}z)
{3n}{4}+( 8+{3}
Multiply by 1
{3n}{4}+8+3}
{3n}{4}+( 8+3}
Find common denominator
{3n}{4}+8+3}
3n}{4}+{3\8}{3}+3}
Combine fractions with common denominator
{3n}{4}+3\8}{3}+{3}
{3n}{4}+8+3}
Multiply the number
{3n}{4}+8}+z}{3}\right)
{3n}{4}+24}+z}{3}\right)
Rearrange terms
{3n}{4}+{24+z}}{3}
{3n}{4}+24}}{3}\right)
Find common denominator
\frac{3n}{4}+\frac{z+24}{3}
\frac{3\cdot 3n}{12}+\frac{4(z+24)}{12}
Combine fractions with common denominator
{3\ 3n}{12}+\{4(z+24)}{12}
{3\ 3n+4(z+24)}12
Multiply the numbers
{3}n+4(z+24)}{12}
{9}n+4(z+24)}{12}
Distribute
{4(z+24)}}{12}
{4z+96}}{12}
Please help
Algebra 2
Solve for v
12.5 = 5v
Answer:v=2.5
Step-by-step explanation:
isolate the variable by dividing both sides by 5
v=2.5
2/125x10,13+2/27x10,13
The value of the expression 2/125x1013 + 2/27x1013 is 91.248.
How to illustrate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
The expression will be Illustrated as:
2/125x1013 + 2/27x1013
= (0.016 × 1013) + (0.0740741 × 1013)
= 16.208 + 75.04
= 91.248
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Complete question
2/125x1013 + 2/27x1013
write 8/10 in simplest form:
-
write the answer in the form a/b for example, 1/2
What does n equal? n^2=100
Answer:
10
Step-by-step explanation:
100 = 10 x 10 = 10^2
n^2 = 10^2
n = 10
A bag contains 7 green marbles, 3 yellow marbles and 10 black marbles. If a green marble is drawn, you win $20. If a yellow marble is drawn, you win $30. If a black marble is drawn, you lose $15. It costs $1 to play. What are you expected winnings over time?
The expected winnings are $3 for each time that you play the game.
What is expected winnings?
The expected value is a generalization of the weighted average in probability theory. Informally, the expected value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.
For an event with the outcomes {x₁, x₂, x₃,...} each one with correspondent probabilities {p₁, p₂, ...}
The expected value (here is equivalent to the expected winnings) is given by:
EV = x₁*p₁ + x₂* p₂ + ...
Here the outcomes are:
Winning $20, this happens if you draw a green marble, and there are:
7 green ones
3 yellow ones
10 black ones.
So 7 out of 20, then the probability is p₁ = 7/20
The second outcome is win $30 if you get a yellow one, there are 3 yellow ones, so the probability is p₂ = 3/10
Finally, you lose $15 if you get a black one, the probability now is
p₃ = 10/20
Then the expected winnings (remember that costs $1 to play, so we need to take that in consideration) is:
W = -$1 + $20*(7/20) + $30*(3/20) - $15*(10/20) = $3
Hence, the expected winnings are $3 for each time that you play the game.
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could anyone help solve this please and thank you
Answer:
74.36
Step-by-step explanation:
the equlabruum is very important to me so I can do you have any questions or concerns please visit the plug-in settings for this is a very
If the volume of the cylinder is 942 in³, what is the radius of the base of the cylinder? Use 3.14 for pie and enter your answer as a whole number.
The radius of the given cylinder is equal to r = 10 inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.
For the cylinder, the formula for the volume will be,
V = πr²h
Given that the volume of the cylinder is 942 cubic inches. the radius of the cylinder base will be calculated as,
942 = π x ( r² ) x 12
r² = ( 942 x 4 ) / ( 12 x π)
r² = 100
r = 10 inch
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The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 25100.
(a) Find a function that models the population
t
years after 2000 (
t
=
0
for 2000).
Your answer is
P
(
t
)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)
The function is f(x) = 25100(1 + 0.06)ˣ and the estimate fox population in the year 2008 is 40,0005.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
It is given that:
The fox population in a certain region has a continuous growth rate of 6 percent per year
f(x) = a(1 + r)ˣ
f(x) = 25100(1 + 0.06)ˣ
Plug x = 8 years
f(8) = 25100(1 + 0.06)⁸
f(8) = 40,0005
Thus, the function is f(x) = 25100(1 + 0.06)ˣ and the estimate the fox population in the year 2008 is 40,0005.
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Mr. Freeze is a freelance ice artist who creates ice sculptures. He is paid $30 per pound of ice he uses. Last week it took him 73 hours to sculpt 5 sculptures weighing a total of 530 pounds. Based on this, what is his approximate hourly wage?
The required hourly wage of Mr. Freeze is given as $217.8.
What is a wage?Wage is defined as the defined earnings of the worker for their respective work. It can be evaluated in parameters based on degrees of time and difficulty.
Here,
As mentioned in the question,
Mr. Freeze is paid $30 per pound of ice,
it took him 73 hours to sculpt 5 sculptures weighing a total of 530 pounds.
Total ice he used = 530 pounds,
For 530 pounds of ice Mr. Freeze gets paid,
= 530 × 30
= $15900
Now, Divide the whole amount for a pound of ice by the total hours Mr. Freeze works so we get the hourly wage.
hourly wage,
= 15900 / 73
= $217.8
So, Mr. Freeze gets paid of $217.8 hourly.
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Which relation is a function?
The relation is a function in the first graph.
How to check which relation is function in given graph?
By applying the vertical line test to the graph of an equation, we may quickly identify whether or not it represents a function. The graph does not represent a function if any vertical line crosses it more than once. We can use the notation f(x)=y to indicate that an algebraic equation defines a function.Check the graph to check if any vertical lines that were generated would repeatedly cross the curve. If such a line exists, the graph does not depict a function. A function is depicted by the graph if no vertical line may pass across the curve more than once.To know more about function check the below link:
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4x²-17x+ k = 0 has the reciprocal roots.
Answer: k=4
Step-by-step explanation:
4x²-17x+k=0
Divide both parts of the equation by 4:
[tex]\displaystyle\\\frac{4x^2}{4}-\frac{17x}{4}+\frac{k}{4}=0\\\\x^2-\frac{17}{4} x +\frac{k}{4} =0\\[/tex]
Let one of the roots of this equation be α
Then the other root of this equation is 1/α
Hence,
[tex]\displaystyle\\\alpha (\frac{1}{\alpha })=\frac{k}{4} \\\\\frac{\alpha }{\alpha }= \frac{k}{4} \\\\1=\frac{k}{4}[/tex]
Multiply both parts of the equation by 4:
4=k
Thus, k=4
What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4
Answer:
ANS:- 2
Step-by-step explanation:
= (2^2)(2^3/2^4)
= (4)(8/16)
=(4)(1/2)
=4/2
= 2
Class records at a particular college indicate that a student selected at random has probability 0.67 of passing French 101. For the student who passes French 101, the probability is 0.88 that he or she will pass French 102. What is the probability that a student selected at random will pass both French 101 and French 102?
The required probability that a student selected at random will pass both French 101 and French 102 is 0.58.
Given that,
Class records at a particular college indicate that a student selected at random has a probability 0.67 of passing French 101. For the student who passes French 101, the probability is 0.88 that he or she will pass French 102.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
P(a) = 0.67 for passing French 101.
p(b) = 0.88 for passing French 102.
The probability that a student selected at random will pass both French 101 and French 102 = 0.67 × 0.88 = 0.58
Thus, the required probability that a student selected at random will pass both French 101 and French 102 is 0.58.
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PLEASE HELP NO PLAYING ON MY QUESTION
The percentage for blue balls will be 56% and the percentage for red balls will be 44%.
What is the percentage for the colors of the gumball?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage, therefore, refers to a component per hundred.
In this situation, there are 4000 balls and 2240 of then are blue while 1760 are red.
The percentage for blue balls will be:
= Number of blue balls / Total balls × 100
= 2240 / 4000 × 100
= 56%
The percentage for red balls will be:
= Number of red balls / Total balls × 100
= 1760 / 4000 × 100
= 44%
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The Video “The Math and Magic of Origami”describes several examples in which scientists and engineers use origami to solve problems. Which of the following is NOT one of the applications described?
The option that is not one of the application described is C. Building a bridge.
What role does origami play in engineering?Origami created through mathematical interpretation and computation is known as mathematical origami, and it has resulted in the modeling of numerous novel origami-based structures outside of the realm of the arts. Furthermore, mathematical origami inspires the creation of new structures and mechanisms in engineering.
Origami-inspired engineering has been used in NASA space equipment, the development of better heart stents, and even DNA folding in microbiology.
Origami-based designs are the use of the ancient art of origami to solve various engineering problems. Regardless of the scale at which they are implemented, origami-based designs are always defined by the laws that govern their geometrical properties at any scale.
Furthermore, for large flat structures, origami allows for the reduction of dimensions while ensuring simple deployment this is especially useful for solar arrays in space applications.
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The Video "The Math and Magic of Origami" describes several examples in which scientists and engineers use origami to solve problems. Which of the following is NOT one of the applications described?
A.A heart stent
B. A space telescope
C. Building a bridge
D. Air bags in cars
A politician's support increases from 34% to 55% Determine the absolute and relative change in
this sitation.
Answer:The relative change is a fraction that describes the size of the absolute change in comparison to the reference value: relative change = absolute change reference value = new value − reference value reference value . 100 100 = 100%. When a quantity triples in value, its relative change is 2 = 200%.
Step-by-step explanation:
The most common way to represent the absolute value of a number or expression is to surround it with the absolute value symbol: two vertical straight lines. |6| = 6 means “the absolute value of 6 is 6.” |–6| = 6 means “the absolute value of –6 is 6.” |–2 – x| means “the absolute value of the expression –2 minus x.”
Which estimated solution is closest to the actual solution shown in the graph?
Question 7 options:
(3,3)
(6,1)
(0,2)
(4,5)
(7,7)
(4,3)
(2,4)
Answer:
(7) (2, 4)
Step-by-step explanation:
You want to know which of the offered points is closest to the point of intersection of the two graphed lines.
SolutionThe point of intersection can be read from the graph as approximately (2 1/3, 3 3/4). The nearest grid intersection to that point is (2, 4), which is the last point on the list of choices.
(2, 4) is closest to the actual solution
__
Additional comment
You can see this, too, by graphing the offered choices. There are none closer than (2, 4).
5) log₁₁ ab⁻⁴ c¹² d⁷
PLEASE HELP ME ASAP!! I WILL GIVE BRAINLIST PLEASE !!!!
Answer:
c
Step-by-step explanation:
if u translate a line, there's not 2 lines?
-10 - 11x + 24 = 3x
I need help with this and I can’t figure it out can someone break it down for me
Answer:
x=1
Step-by-step explanation:
move 11x on the other side so -11x will be postive -10+24=3x+11x -10+24=14x14=14xsimplify or divide both side by 14x=1Binary form can be represented as
a A B C A
b A B
c A B A
d A B A C B A
The binary form can be represented as AB or AABB. So the write option is b.
One of the four different kinds of number systems is the binary number system. When used in computer programmes, binary numbers are solely represented by the digits 0 (zero) and 1. (one). Here, the base-2 numeric format is used to express the binary numbers.
Because the binary system is directly implemented in electronic circuits using logic gates, nearly all modern computers and computer-based gadgets employ it internally. A bit is used to describe each digit.
The binary form is a set of alphabetical character that is used to describe a musical piece using two sections of equal length. It can be represented as AB or AABB. So the write option is b.
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How do you complete the square for this problem ? (if you just explain to me how to complete the square of a trinomial it would be gladly appreciated)
a^2 + 2a - 3
a^2 - 2a - 8
p^2 + 16p - 22
The complete square of the a² + 2a - 3 = 0,a² - 2a - 8 = 0 and p² + 16p - 22 = 0 are (a + 1)² - 4 = 0,(a - 1)² - 9 = 0 and (p + 8)² - 86 = 0 respectively.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given trinomial,
a² + 2a - 3 = 0
a² + 2a = 3
Add 1 on both sides,
a² + 2a + 1 = 3 + 1
(a + 1)² = 4
(a + 1)² - 4 = 0
As per the given trinomial,
a² - 2a - 8 = 0
a² - 2a = 8
Add 1 on both sides,
a² - 2a + 1 = 8 + 1
(a - 1)² = 9
(a - 1)² - 9 = 0
As per the given trinomial,
p² + 16p - 22 = 0
p² + 16p = 22
Add 64 on both sides,
p² + 16p + 64 = 22 + 64
(p + 8)² = 86
(p + 8)² - 86 = 0
Hence "The complete square of the a² + 2a - 3 = 0,a² - 2a - 8 = 0 and p² + 16p - 22 = 0 are (a + 1)² - 4 = 0,(a - 1)² - 9 = 0 and (p + 8)² - 86 = 0 respectively".
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