Answer:
The inequality that describes the problem for the given equation that is 12 + x ≤ 21 is x = 9.
Step-by-step explanation:
It is given that a shuttle bus to Willow Creek Mall has enough seats for 21 people to ride. Right now, there are 12 people on the bus.
It is further provided that, let x represent how many more people can ride on the bus and we need to find which inequality describes the problem for the given equation that is 12 + x ≤ 21.
Now,
based on the above-mentioned conditions it can be formulated that;
=> 12 + x = 21
After rearranging the terms;
=> x = 21 - 12
=> x = 9
Therefore, the inequality that describes the problem for the given equation that is 12 + x ≤ 21 is x = 9.
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Simplify the expression. Write the answer in scientific notation.(6 x 10^-4)(6 x 10^-6)
An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . The simplified expression of (6 x 10⁻⁴)(6 x10⁻⁶) is 36 x10⁻¹⁰.
What is Expression?An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.
(6 x 10⁻⁴)(6 x10⁻⁶) is the given expression
Now multiply 6 with 6 and 10⁻⁴ with 10⁻⁶
36 x 10⁻⁴x 10⁻⁶
We need to add the powers of same base.
36 x10⁻⁴⁻⁶
36 x10⁻¹⁰
Therefore the simplified expression of (6 x 10⁻⁴)(6 x 10⁻⁶) is 36 x10⁻¹⁰.
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PLEASE HELP ME WITH MATH
I AM GOING TO FAIL!!
Will give 17 points!!!!
a. Han wrote (1/2, 0) as x-intercept of the line instead of (2, 0).
b. The x-intercept: (2, 0)
The y-intercept: (0, 5)
What is the X-intercept and Y-intercept of a Line?The y-intercept of a line is the corresponding value of y when the value of x is equal to zero.
On the other hand, the x-intercept of a line is the corresponding value of x when the value of y is equal to zero.
Y-intercept is (0, b), while x-intercept is (b, 0), where b is the value of the point on the axis that is being intercepted.
In slope-intercept form, y = mx + b or y = b + mx, the y-intercept is represented as b, which is (0, b).
Given the equation in slope-intercept form as y = 5 - 10/4x, the y-intercept, b = 5. Therefore, is expressed as (0, 5).
To find the x-intercept, substitute y = 0 into y = 5 - 10/4x:
0 = 5 - 10/4x
Solve for x
-5 = -10/4x
-20 = -10x
-20/-10 = x
x = 2
The x-intercept is (2, 0), while the y-intercept is (0, 5).
Therefore:
a. The Han got the x-intercept wrong, it should be (2, 0), not (1/2, 0).
b. The x-intercept is (2, 0), while the y-intercept is (0, 5).
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Landscaping A homeowner is planting hedges and begins to dig a 3 -ft-deep trench around the perimeter of his property. After the first weekend, the homeowner recruits a friend to help. After every succeeding weekend, each digger recruits another friend. One person can dig 405 ft³ of dirt per weekend. The figure at the right shows the dimensions of the property and the width of the trench.
a. Geometry Determine the volume of dirt that must be removed for the trench.
The trench will require 9168 cubic feet of dirt to be removed.
Here, we are given that a homeowner is digging a 3 -ft-deep trench around the perimeter of his property.
Length of the property = 210 feet
Breadth of the property = 180 feet
Let us now consider one side of the 180-foot-long trench.
There are two such trenches, each with a width of 4 feet and a height of 3 feet.
Thus the volume of the trench = 2(length × breadth × height)
Volume = 180 × 4 × 3 × 2
= 4320 cubic feet
Now we are left with two other sides of the trench with the following dimensions-
Height = 3ft
Breadth = 4ft
Length = 210 - 8 = 202ft
Thus, volume = 202 × 4 × 3 × 2
= 4848 cubic feet
Thus, the total volume of the trench = 4848 + 4320 = 9168 cubic feet.
Hence, The removal of 9168 cubic feet of earth is necessary.
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Your question was incomplete. Check for the missing figure below.
Six hundred residents of a city are polled to obtain information on voting intentions in an upcoming city election. the 600 residents in this study is an example of a(n) _____
Six hundred residents of a city are polled to obtain information on voting intentions in an upcoming city election. The 600 residents in this study is an example of a sample.
Those people who make up a sample are taken from a broader population. Sampling is the process of deciding which group you will use to gather data for your study.
In order for a sample to be representative of the population we are interested in investigating, each participant must have an equal chance of being randomly chosen for the study.
For example, you could interview a sample of 100 students if you were examining the attitudes of students at your university.
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tyrone likes to snack on his big bag of candy. he takes 888 pieces of candy from the bag each time he snacks. after he has snacked 181818 times, there are only 666 pieces of candy remaining in the bag. the number ccc of pieces of candy remaining in the bag is a function of sss, the number of snacks tyrone eats.
The function's formula is given by c=150-8s .
It is given in the question that
number of candies taken by tyrone in each snack = 8
number of times tyrone snacks = 18
Total candies= (number of times tyrone snacks)x(number of candies taken in each snack )
Total candies=18x8=144.
There are 6 candies left in the bag .
So total candies = 144+6=150.
It is also given that "s" is the number of snacks tyrone eats .
and "c" is the number of candies remaining.
number of candies tyrone eats in each snack = 8
number of candies tyrone eats in s each snack =8s
the number of candies remaining = (total candies) - (number of candies tyrone eats in s each snack ).
Substituting the values we get
c=150-8s.
Therefore , the function's formula is given by c=150-8s .
The given question is incomplete , the complete question is
Tyrone likes to snack on his big bag of candy. he takes 8 pieces of candy from the bag each time he snacks. after he has snacked 18 times, there are only 6 pieces of candy remaining in the bag. the number "c" of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats. Write the function's formula.
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help pleaseee this is due tomorrow
Answer:
4.67
Step-by-step explanation:
You deposit $500 in a savings account for 8 years. How much interest will you earn if the account earns 7% simple interest annually?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (500)(0.07)(8) \implies I = 280[/tex]
Answer:
$280
Step-by-step explanation:
500x7%=35
35x8=280
what are the best anime jobs that use math?
Answer:
Possibly Design and 3d printing
Step-by-step explanation:
3D printing and design requires precise measurements and angles. Maybe you can look into jobs with these requirements?
Hope this helped :)
Answer:
Careers that involve math
Step-by-step explanation:
How do you write five hundred thousandths in number?
Answer: the answer is: 500,000
NEED HELP WITH GEOMENTRY ASAP
Answer:
86????
Step-by-step explanation:
I am not certain, but wouldn't it be 86?
Write a function that gives the length of the hypotenuse of an isosceles right triangle with side length s. Evaluate the inverse of the function to find the side length of an isosceles right triangle with a hypotenuse of 6 in.
A function that gives the length of the hypotenuse of an isosceles right triangle with side length s is given by h(s)=s√2 and the length of the side of the triangle is approximately 4.24 inches.
The hypotenuse of a right angled triangle is defined as the longest side of the triangle. The hypotenuse is also located opposite the right angle.
From the Pythagorean Theorem we know that for a right angled triangle, the sum of the square of the legs of the triangle is equal to the square of the hypotenuse.
Given legs of the right triangle is s. Let us consider a function h(s) for the hypotenuse.
Therefore we can define the function h(s) as
h(s)=s√2
The inverse of the function can be written as
y=s√2
or, s=y²/2
Hence the inverse function is:
h⁻¹(s)=s²/2
Now for hypotenuse = 6 inches.
Each side can be calculated using the inverse function h⁻¹(s)=s²/2.
s=6÷√2
or, s=4.242...
Hence the length of the side of the triangle is approximately 4.24 inches.
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Solve the equation b over 27 equals negative 3 for b.
Answer:
b= -81
Step-by-step explanation:
b/27 = -3
Multiply both sides by 27 and simplify
.................................
Answer:
identify my own strengths
interests and challenge
Given the function, calculate the following values
Answer:
6, 2, 14
Step-by-step explanation:
[tex]x=-2 \implies x<1 \implies f(-2)=2(-2)^2-2=6 \\ \\ x=1 \implies 1 \leq x<2 \implies f(1)=2 \\ \\ x=2 \implies x \geq 1 \implies f(2)=4(2)^2-2=14[/tex]
Does every function have an inverse which is a function? Does every relation have an inverse which is a relation?
No, all functions do not have an inverse functions. Those that do exists named invertible.
What is meant by inverse function?The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.
An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.
In mathematics, an inverse function (or anti-function) exists as a function that "reverses" another function: if the function f used to an input x gives a result of y, then using its inverse function g to y gives the result x, i.e., g(y) = x if and only if f(x) = y.For a function f: X → Y to have an inverse, it must have the property that for every y in Y, there is exactly one x in X such that f(x) = y. This property ensures that a function g: Y → X exists with the necessary relationship with f.No, all functions do not have an inverse functions. Those that do are called invertible.
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For each annual rate of change, find the corresponding growth or decay factor. -0.1%
The decay factor for the annual rate of change of -0.1 % is 0.999.
A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.
With the function displayed to the right, you may represent exponential growth or decay.
A(x) = a( 1 + r)ˣ
Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.
Now, we have the annual rate of change as:
r = - 0.1 % = - 0.1 / 100 = - 0.001
From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.
So, let B = 1 + r
B = 1 + r
B = 1 + (- 0.001)
B = 1 - 0.001
B = 0.999
Now, the value of B is less than 1 therefore, the corresponding decay factor is 0.999.
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Set up an equation and use it to solve for x.
50
(4x + 2)
Answer:
x = 12
Step-by-step explanation:
Vertical angles are congruent
50 = 4x + 2 Subtract 2 from both sides
48 = 4x Divide both sides by 4
12 = x
find the distance between the points (7, 7) and (7, 4)
Answer:
the answer to that question is 3
The sum of two numbers is 14. One number is two less than three times the other. Write an equation to represent the situation
using as a variable.
Answer:
Number 1 is 4
Number 2 is 10
Step-by-step explanation:
Number 1 is x
Number 2 is 3x - 2
so x + (3x - 2) = 14
x + 3x - 2 = 14
4x = 14 + 2
4x = 16
x = 4
so
Number 1 is 4
Number 2 is 3(4) - 2 = 10
Which equation below is graphed? Question 6 options: y = 3x+2 y =-3x +2 y = 3x - 2 y = -3x - 2
The linear function that contains the points (0,3) and (-1,5) is given by:
y = -2x + 3.
What is the missing information?
The graph is not given and I couldn't find the problem on a search engine, hence I am going to suppose that two points on the graph are (0,3) and (-1,5).
You can select the value of y when the function crosses the y-axes(y-intercept) and another point and follow the same procedure I am going to do here.
What is a linear function?A linear function is modeled in slope-intercept form by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that when x = 0, y = 3, hence the slope is of b = 3. When x = -1, y = 5, hence the slope(change in y divided by change in x) is given by:
(3 - 5)/(0 - (-1)) = -2.
Hence the function is:
y = -2x + 3.
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Brandi jogged for 2/1:2 mikes in 30 minutes sharana jogged 3/1:2 miles in 3:4hours who jogged at a slower rate
Based on the information provided, neither Brandi nor Sharana jogged at a slower rate.
What is rate?Rate can be defined as the speed at which an event happens or an object moves over a particular period of time.
It is also known as the ratio at which two or more term, quantities or objects with different units are compared.
The formula for rate is expressed as;
Rate = distance/ time
From the information given, we have that;
Brandi jogged a distance = 2/1 : 2 = 2 × 1/ 2 = 1 mile in 30 minutesSharana jogged a distance = 3/1 : 2 = 3/ 2 = 1. 5 miles in 3/ 4 × 60 minutes = 45 minutesSubstitute the values
Brandi's rate = 1/ 30 = 0. 03
Sharana's rate = 1. 5/ 45 = 0. 33
From the values gotten, we can see that neither Brandi nor Sharana jogged at a slower rate.
Thus, neither Brandi nor Sharana jogged at a slower rate.
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which produces a rational number when multiplied by 0.5
Answer:
A
Step-by-step explanation:
1/3 x 0.5 = 1/6 which is a rational number
I think you should look up the meaning of rational number to know what is the correct answer
Find the sum of all decent fractions whose denominator is equal to 20
a) 10
b) 20
c) 9.5
d) 8
Answer:
B,A
Step-by-step explanation:
hope that's right
The sum of all decent fractions with a denominator of 20 is 4.
Thus, option (d) is correct.
To find the sum of all decent fractions whose denominator is equal to 20, consider fractions with numerators that are coprime to 20 (i.e., the numerator and 20 have no common factors other than 1).
The decent fractions with a denominator of 20 can be written as:
1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, and 19/20.
To find the sum, add up these fractions:
Sum = 1/20 + 3/20 + 7/20 + 9/20 + 11/20 + 13/20 + 17/20 + 19/20
Sum = (1 + 3 + 7 + 9 + 11 + 13 + 17 + 19) / 20
Sum = 80 / 20
Sum = 4
Therefore, the sum of all decent fractions with a denominator of 20 is 4.
Thus, option (d) is correct.
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all of them please i need help with it its hw
The correct algebra properties are listed below:
EDHAIFCBGWhat properties are used in each case of algebraic operations?
In this problem we find nine cases of mathematical operations with real numbers, each case has to be defined by defining the appropriate property according to real algebra. Now we proceed to define each case:
11 + 0 = 11 Modulative property of addition (Correct choice: E)x · (y · z) = (x · y) · z Associative property of multiplication (Correct choice: D)8 + (- 8) = 0 Existence of additive inverse (Correct choice: H)14 + 20 = 20 + 14 Commutative property of addition (Correct choice: A)2 × (1 / 2) = 1 Existence of multiplicative inverse (Correct choice: I)22 × 1 = 22 Modulative property of multiplication (Correct choice: F)(19 + 12) + 8 = 19 + (12 + 8) Associative property of addition (Correct choice: C)a × 9 = 9 × a Commutative property of multiplication (Correct choice: B)7 · (4 + 11) = 7 · 4 + 7 · 11 Distributive property (Correct choice: G)To learn more on algebra properties: https://brainly.com/question/1448147
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What is the surface area of a sphere with a radius of 2 inches? Round your answer to
the nearest tenth.
identify the prime factorization for each number 10 x 4 or 2 x 5 2 x 5
Prime factorization of 10 x 4 is 2 x 5 x 2 x 2.
Finding the prime numbers that are multiplied together to produce the original number is the process of prime factorization. The prime factors of 16, for instance, are 2 x 2 x 2 x 2.
Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2 x 3 x 3. Here, the two main factors of 18 are 2 and 3. For instance, 72 = 2 x 3 x 3 x 2 can be written as a product of prime factors. The prime factorization of 72 is said to be the expression 2 x 3 x 3 x 2.
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5. A shark is swimming 60 feet below the surface of
the ocean. There is a fish that is 25 feet deeper
in the water. Use the expression (-60) + (-25) to
describe the fish's location relative to the surface
of the ocean.
Answer:
-60x+(-85y)
Step-by-step explanation:
Round to the nearest ten, then estimate the product. 35 x 99 = ___
a. 2,700
b. 3,000
c. 3,600
d. 4,000
Answer:
The answer is 4,000.
Step-by-step explanation:
The closest to 35xn= 3,465
Answer:
Step-by-step explanation:
35 to the nearest 10 is 40 and 99 to the nearest 10 is 100 so 4 times 100 is 4,000 so your answer should be d. 4,000
kate and jean paint a house together in 6 days
Answer:
Okay? whats the question
Step-by-step explanation:
The prime factorization of 6000
Answer:
3000 = 2*2*2*2*3*5*5*5
Step-by-step explanation:
6000/2 = 3000
3000/3 = 1000
1000/2 = 500
500/2 = 250
250/2 = 125
125/5 = 25
25/5 = 5
5/5 = 1
3000 = 2*2*2*2*3*5*5*5