28 is the product of all three numbers .
What are the algebraic expressions ?An algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.
Calculation3rd = x
2 nd = 7x
1 st = 4(x + 7x ) = 32x.
x + 7x + 32x = 20
x = 1/2.
we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.
28 is the product of all three numbers
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a fifth grade teacher assumes that 30% of her students are late for class. if the teacher is correct, what is the probability that the proportion of late students in a sample of 449 students would differ from the population proportion by less than 5%? round your answer to four decimal places.\
Answer:
9
How I got the Answer:
We have,
p = 0.30
q = 1 - p = 0.70
n = 449
Here,
npq = 4449*0.3*0.7 = 9
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Ok, I found out how to find complementary angles. But now I learned out how find supplementary angles. I have homework that is due tomorrow and I forgot my notes from today, someone please help me find this angle asap!
Answer:
∴ x = 5
Step-by-step explanation:
(18x)° = 180° - 90° (adjacent angles on a straight line)
18x = 90
∴ x = 5
the symbol used to represent the nonnegative square root of a number
https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.
Every positive real number has two square roots, positive and negative.
For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.
Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.
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What are all the rational roots of the polynomial f/x 20x4 x3 8x2 x 12?.
The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.
All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20
Factors of -12= -/+(1,2,3,4,6,12)
Factors of 20= -/+(1,2,4,5,10,20)
So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)
Solving for x when f(x) = 0,
20x4 + x3 + 8x2 + x - 12 = 0
(4x - 3)(5x + 4)(x2 + 1) = 0
Equating all factors to zero, we get
4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0
x = 3/4, x = -4/5, x = i, x = -i
Hence, the rational roots are x = 3/4, x = -4/5.
The given question is incomplete, the complete question is
What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?
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6, what is the standard deviation of the residual values in the regression output. note that the residual values measure the difference between the observed values of the travel time in hours and the predicted values of the travel time in hours from the regression model.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
In the given question we have to explain the standard deviation of the residual values in the regression output.
Regression analysis is a statistical technique used to demonstrate the relationship between two different variables and to assess how well one variable can be predicted based on the behaviour of another.
The standard deviation of points surrounding a fitted line or the standard error of estimate are other names for residual standard deviation.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
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A rental car company charge $63. 25 per day to rent a car and $0. 07 for every mile driven. Ella want to rent a car, knowing that: She plan to drive 50 mile. She ha at mot $130 to pend
Answer:
it would be 66.75 for one day if ella plans to drive for 1 day with 50 miles, and if you need how much money she has left it is 63.25
Step-by-step explanation:
hope it helped:)
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Answer:The answer would be the A
Step-by-step explanation:
Answer:
40x + 20y < 480
Step-by-step explanation:
the inequality: 40x + 20y <(with a line under the < sign)480
consider the following graph. the x y coordinate plane is given. the curve begins at the origin, goes up and right becoming less steep, the curve changes direction at (1, 3), goes down and right becoming more steep, passes through (2, 2), goes down and right becoming less steep, changes directions at (3, 1), goes up and right becoming more steep, passes through the point (4, 3), goes up and right becoming less steep, passes through (5, 4) almost horizontally, goes up and right becoming more steep, passes through the approximate point (6, 4.2) and ends at (7, 6). (a) find the interval(s) on which f is increasing. (enter your answer using interval notation.) incorrect: your answer is incorrect. (b) find the interval(s) on which f is decreasing. (enter your answer using interval notation.) correct: your answer is correct. (c) find the interval(s) on which f is concave upward. (enter your answer using interval notation.) incorrect: your answer is incorrect.
A) The interval(s) on which f is increasing is; (1,3) ∪ (4,6).
B) The interval(s) on which f is decreasing is; (0,1) ∪ (3,4).
(C) The interval(s) on which f is concave upward is; (0,2) ∪ (3,5).
How to find the increasing or decreasing interval?
A) A function is said to be increasing on an interval if for every point on that interval we see that the first derivative is positive. Thus, from the attached graph, we see that the function is increasing on the intervals (1,3) and (4,6).
B) If the value of the derivative f' (x) ≤ 0 of the function, then we can say that the interval is a decreasing interval. From the graph, we can say that the function is decreasing on intervals (0,1) and (3,4).
C) The graph is concave upward on the intervals (0,2) and (3,5).
D) The graph is concave downward which means convex on the interval (3,4).
e) The points of inflection are defined as the points located on a smooth plane curve that the curvature changes sign. In this graph, the points of inflection are x=3 and x=5.
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A state imposes a sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175.
Use the receipt shown to find the tax rate (as a percent).
The tax rate is _%.
Answer:
2.543%
Step-by-step explanation:
295x1.02543=$302.50
295+2.543%=302.50
what is the slope of the line passing through points (3,-1) and (-2,-5)
Answer:
the slope is 1
Step-by-step explanation:
x1,y1=(3,-1)
x2,y2=(-3,-5)
[tex]m = y2 - y1 \div x2 - x1[/tex]
-5--1/-3-3
-6/-6
m=-6/-6
simplify the fraction -1/-1
since 2 negatives = positive
m=1/1
simplify
m=1
logan is constructing a scaled model of his town. the city's water tower stands 40 meters high, and the top portion is a sphere that holds 100 , 000 liters of water. logan's miniature water tower holds 0.1 liters. how tall, in meters, should logan make his tower?
Answer:
0.4 m = 40 cm
Step-by-step explanation:
You want the height of a model water tower with a volume of 0.1 liters that models a city water tower 40 m high with a volume of 100,000 liters.
Scale factorThe scale factor for volume is the cube of the scale factor for linear dimensions, such as height. Conversely, the scale factor for height is the cube root of the scale factor for volume.
This lets us write a proportion for the height of the model tower:
[tex]\dfrac{h}{40\text{ m}}=\sqrt[3]{\dfrac{0.1\text{ L}}{100000\text{ L}}}\\\\h=(40\text{ m})\sqrt[3]{10^{-6}}=\boxed{0.40\text{ m}}[/tex]
Logan should make his tower 0.4 meters, or 40 cm high.
pls helpp!! ixl is so frustrating and i can't get this question wrong itll drop me like 20 points i don't understand this question
Answer:
oof try adding dem
Step-by-step explanation:
hope you git 20 points
Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.
Answer:
1323.3
Step-by-step explanation:
A triangle has sides with lengths of 39 mm 56 mm and 37 mm is it a right triangle
No it is not a right angled triangle.
What is a right angled triangle?A right triangle is a triangle with a 90° angle as its only angle. There CANNOT be two 90° angles in a right triangle. This is so that a triangle's angles can sum up to 180°. The right triangle's other two angles must sum up to 90 degrees given that one angle is 90 degrees.A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides. In other words, if c2=a2+b2 in ABC, then C is a right triangle with PQR as the right angle.acc to our question-
a= 39b=56c=37Hence, no sides are equal to 90 degrees.
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What is Bodmas fraction?.
Answer: Simplification of Fractions.
Step-by-step explanation:
Given the coordinates below, determine if ΔFGH and ΔJKL are congruent. If they are, give the reason, if they aren't choose "not congruent".
F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)
*enter your lengths to the NEAREST TENTH
FG =
GH =
FH =
JK =
KL =
JL =
Answer:
FG≅LJ
GH≅JK
HF≅KL
Step-by-step explanation:
if two cards are drawn from a standard 52 deck of cards without replacement, what is the probability of getting a king on the second card, if the first card was a 10?
0.6% is the probability of getting a king .
What is probability ?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability.A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Probability of K from full 52 card pack = 4/52 = 1/13
Probability of A from the remaining 51 cards = 4/51
“And" in probability means you Multiply.
1/13 x 4/51 = 4/663 = 0.6%
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Write an algebraic expression for the following scenario in terms of total money saved:
“you start with $400 and save $100 a week”
Answer:
y = 100x + 400
Step-by-step explanation:
What we know:
- You started with 400
- You get 100 a week
What we need to find out:
- The equation or rate to know how much money acquired in specific time
Step 1 ( of 1 ): Equation
- if you let y represent the total of money you acquire then the equations starts as
y=
- Then we know that we get 100 a week so let x represent the amount of weeks so
y = 100x
- Lastly we know that we started with 400 so then we just add that to the equation to make it
y = 100x + 400
These are the answer choices though
Answer:
[tex]m= -2\frac{1}{13}[/tex]
Step-by-step explanation:
2m-27/3=5m
x3. x3
2m-27=15m
-2m. -2m
-27=13m
/13. /13
-27/13=m
-2 1/13=m
Hopes this helps please mark brainliest
Would you also help me find the answer for this one pls
a) The variable x is the average distance of Venus from the sun.
b) The equation for the given condition,
⇒ ⇒ 57.9 = 3.8 + x/2
c) The average distance of Venus from the sun = 108.2 million kilometers.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The average distance of Mercury from the sun = 57.9 million kilometers
And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.
Now,
Since, The average distance of Mercury from the sun = 57.9 million kilometers
And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.
Let the average distance of Venus from the sun = x
So, We can formulate;
⇒ 57.9 = 3.8 + x/2
Solve for x as;
⇒ 57.9 = 3.8 + x/2
⇒ 57.9 - 3.8 = x/2
⇒ x/2 = 54.1
⇒ x = 54.1 × 2
⇒ x = 108.2
Thus, The average distance of Venus from the sun = 108.2 million kilometers.
Therefore, a) The variable x is the average distance of Venus from the sun.
b) The equation for the given condition,
⇒ ⇒ 57.9 = 3.8 + x/2
c) The average distance of Venus from the sun = 108.2 million kilometers.
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The school needs to purchase a new refrigerator for student rewards. Lowes is
having a 15% off. If the original price is $700, what is the discount amount?
Answer:
1) The new price would be $595
2 )The discount is $105 off
Step-by-step explanation:
1) 700 x 0.85 = 595
2) 700 x 0.15 = 105
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year. Which equation can be used to find the number of years, y, it will take for the population to reach 1,458 elk?
According to the equation it takes 6 years for the population to reach 1,458 elk.
Equation:
An equation is made up of two expressions connected by an equal sign. For example, 2x – 5 = 16 is an equation.
Given,
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year.
Here we need to find the equation that will shows the number of years, y, it will take for the population to reach 1,458 elk.
Let us consider n be the number of years take for the population to reach 1,458 elk.
So, according to the given question, we have written as,
f(n) = 2 x 3ⁿ
Here we know that the value of f(n) = 1458, then the equation is written as,
1458 = 2 x 3ⁿ
When we simplify this, then we get,
3ⁿ = 729
We know that, 729 = 3⁶,
Therefore, it can be written as,
3ⁿ = 3⁶
Therefore, it take 6 years for the population to reach 1,458 elk.
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1/6x^2=1/2x+7/6x^2
Rational Equation
Answer: x = -2
Step-by-step explanation:
[tex]\frac{1}{6x^2} =\frac{1}{2x} +\frac{7}{6x^2}[/tex]
[tex]\frac{1}{6x^2} = \frac{3x}{6x^2} + \frac{7}{6x^2}[/tex] (work with common denominators)
[tex]\frac{1}{6x^2} = \frac{3x+7}{6x^2}[/tex]
[tex]1 = 3x + 7[/tex] (remove the 6x^2 because they'll cancel out when you cross multiply)
[tex]-6 = 3x[/tex]
[tex]-2 = x[/tex]
2. Question 3
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7Y?
A. -7
B. -3
C. 0
D. 4
Answer:
A
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 3 and crosses the y- axis at (0, - 7 ) ⇒ c = - 7
that is the y- intercept c = - 7
-3√7r³-6√7r²
How do I solve this step by step?
The solution of the expression -3√7r³-6√7r² is -3√7r²(r+3)
Expression:
An expression also known as the algebraic expression consists of unknown variables, numbers and arithmetic operators.
Given,
Here we have the expression -3√7r³-6√7r²
Now, we have to solve this expression step by step.
In order to solve this expression, we have to write the given expression as,
=> - 3√7r³- 6√7r²
Here the value √7 is common, so we have to take it as the common term and then rewrite the given expression as,
=> √7(-3r³-6r²)
Now, we have to take the number -3, as the common term then we get he expression like the following,
=> -3√7(r³+3r²)
Now we have to take the variable r² as the common term, then we get,
=> -3√7r²(r+3)
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[tex]3x-1=1/3(9x-5)[/tex]
PLEASE NEED HELP ASAP
Answer:
-1
Step-by-step explanation:
The number never changes when you divide by 1. So -1/1=-1.
-Hope this helped
If I have a book that is 298 pages, and I read 20 pages a day, how long will it take me to read the entire book?
Also what is the formula to solve this problem problem!!
Answer:
Step-by-step explanation:
Given:
N₀ = 298 pages
N = 20 pages
You can apply the formula:
Number of days
D = [N₀ / N] + 1 = [298 / 20 ] + 1 =
= [14.9] + 1 = 14 + 1 = 15 day,
where the square brackets are the integer part of the number
If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.
Total pages in the book= 298
Total pages that I daily read= 20
Then it will take 15 days to read the entire book.
The formula for this problem:
The solution to this type of problem can be figured out with the help of unitary method.
20 pages of a book can be read in = 1 day
1 page of a book can be read in = 1/20 days
298 pages of a book can be read in = 1/20×298 days = 14.9 days
But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.
15 days it will take to read the entire book.
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Brianna is very good at keeping her school binder organized. Every time her teacher returns an assignment, Brianna puts it in the right section. Brianna has 113 assignments in the history, science, and art sections combined. The rest of her assignments are in the math section. Brianna has 182 assignments in total.
Using equation, the number of math assignment is 69 .
How to use equation to find the number of math assignment?Brianna has 113 assignments in the history, science, and art sections combined. The rest of her assignments are in the math section. Brianna has 182 assignments in total.
Using equation, the number of assignments in the math section of Brianna's binder can be calculated as follows:
She has 113 assignments in the history, science, and art sections combined.
Let x be the number of assignments that are in math section.
There are 182 assignments in total.
Therefore,
x + 113 = 182
subtract 113 from both sides of the equation
x + 113 = 182
x + 113 - 113 = 182 - 113
x = 69
Therefore, the number of math assignment is 69.
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Given m || n.
What theorem or postulate justifies this statement?
/1 = /5
A.linear pair postulate
B.vertical angles theorem
C.alternate interior angles theorem
D. alternate exterior angles theorem
E.corresponding angles postulate
Answer:
E
Step-by-step explanation:
they are equal to each other
