Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
which expression is equivalent to 2x^(2)+11x+5
Answer:
(x + 5)(2x + 1)
Step-by-step explanation:
Given
2x² + 11x + 5
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = + 10 and sum = + 11
The factors are + 10 and + 1
Use these factors to split the x- term
2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )
= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term
= (x + 5)(2x + 1) ← in factored form
In a triangular prism area of rectangular surface is twice the area of traingular surface if tsa 3000. Find the area of triangular surface
Answer:
375
Step-by-step explanation:
Applying,
Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular surface
Assuming the triangular base is an equilateral triangle
A = 3A'+2B.................... Equation 1
Where A = Total surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.
From the question,
IF A' = 2B,
Given: A = 3000
Substitute these values into equation 1
3000 = 3(2B)+2B
3000 = 6B+2B
3000 = 8B
8B = 3000
B = 3000/8
B = 375
Write 5 5/6 as an improper fraction
Answer:
the answer is 35/6 hope it helps:)
Answer:
The answer is 35/6
Step-by-step explanation:
Multiply the denominator by the whole number.
5 x 6 = 30
Then add the Numerator.
30 + 5 = 35
Now the answer is 35/6, you don't change the denominator.
Find x to the nearest tenth.
Answer:
x = 11.3
Step-by-step explanation:
This is a right isosceles triangle
x² + x² = 16²
2x² = 256
x² = 128
x = 11.3
Is this right PLEASE HELP ILL GIVE BRAINLY
Exquisite.
All are Correct
My doubts do come from your last answer.
I think the complement should be 60° too
A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
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Simplify. pls pls pls helppp im really bad at math lol
a) 6 √3+ 4
b) 6 √6+ 3
c) 4 √3 + 6
Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)
By definition of the perfect square trinomial:
[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]
[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]
And by direct comparison we have the following system:
[tex]a = 33[/tex] (2)
[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)
By (3), we solve for [tex]b[/tex]:
[tex]b = \frac{20}{\sqrt{3}}[/tex]
[tex]b = \frac{20\sqrt{3}}{3}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
1) 0.001
2) 0.002
3) 0.128
4) 0.899
Answer:
.899
Step-by-step explanation:
Zeyad has a bag of 40 marbles. 10 of them are red. 12 are blue. 18 are white. He reaches into the bag without looking. What is the probability that Zeyad will select a white marble?
Answer:
9/20
Step-by-step explanation:
There are 40 marbles
18 are white
P( white marble) = number of white marbles / total number of marbles
= 18/40 = 9/20
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
What is the length of b?
6,347.2184 to the nearest thousandth
Answer: 6347.218
Step-by-step explanation:
Answer:6,347.218
Step-by-step explanation:
look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004
Write [4^ squareroot 81] 5^
Answer:
(⁴√81)⁵
= [tex]81^{\frac{5}{4} }[/tex]
[tex]81^{\frac{5}{4} }[/tex]
= 243
Step-by-step explanation:
(⁴√81)⁵
(3)⁵
= 243
Answer:
the answer is B 81^4/5 I HOPED THIS HELPED
if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32
what are the factors of x^3-2x^2+x+2
Find the median of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Median: [?] cr
Answer:
Step-by-step explanation:
1,2,2,3,4,5,7
Median is 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
What is median?
The median stands for the middle value in a list ranked from smallest to largest. The mode stands for the most frequently occurring value on the list. The middle number; exists found by collecting all data points and choosing out the one in the middle (or if there exist two middle numbers, taking the mean of those two numbers).
Illustration: The median of 4, 1, and 7 stand 4 because when the numbers stand to put in order (1, 4, 7), the number 4 stands in the middle.
The given data: 7, 2, 1, 4, 5, 2, 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
Therefore, the Median is 3.
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A company produce 6400 text book. The company packed 400 into each carton how many carton did they fill ?
Answer: 16
Step-by-step explanation: 6400 : 400 = 16
The equation which represents x, the width of the border is 2(8-2x) + 2(4- 2x) – 18. What is the width of the border?
oft
ft
1 ft
3 ft
Answer:
mumu and a pink one is a little it is a little bit of time with my family and then we are just getting back to talk with you and I will be in attendance and how to write an email to all you need the money to pay for the understanding that I have
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
Answer:
flour 720 g
salt 10.8 g
yeast 14.4 g
oil 36 ml
water 600 ml
Step-by-step explanation:
600 ml - 500 ml = 100 ml = 20% more
Set up ratios to determine 20% of each ingredient and add to the original amount.
Example:
20%/100% = x ml/30 ml
20x30÷100=6
So, for oil, you need 30 ml + 6 ml = 36 ml
6 ml = 20% more
for each type of division problem, decide if the quotient is positive or negative
complete the statement
Answer:
positive divided by positive = positive
negative divided by positive = negative
positive divided by negative = negative
negative divided by negative = positive
Step-by-step explanation:
Examples;
8 ÷ 2 = 4
-8 ÷ 2 = -4
8 ÷ -2 = -4
-8 ÷ -2 = 4
You can try these on a calculator
1. positive
2. negative
3. negative
4. positive
What is quotient?The number resulting from the division of one number by another.
The given quotient can be positive or negative can be decide by the facts given below:
1) positive divided by positive = positive
2) negative divided by positive = negative
3) positive divided by negative = negative
4) negative divided by negative = positive
Examples;
16÷ 4 = 4-6 ÷ 2 = -310 ÷ -2 = -5-10 ÷ -5 = 2Learn more about quotient here:
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How many four digit numbers cannot be divided by 5?
Answer:
2556
Step-by-step explanation:
When finding the length of the hypotenuse of a right triangle, why might you approximate the answer? I NEED THIS ASAP I AM TIMED
Answer:
You would approximate because the hypotenuse might not be a perfect square.
Step-by-step explanation:
[algebra 2, word problems and expressions] hai! please help!
Answer:
The first one, f+2g+3t! :)
Step-by-step explanation:
F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.
PLEASE HELP ASAP PLZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
45%
Step-by-step explanation:
There are 450 people with over 3 people in their family. There are 1000 total people. 450/1000 is 45%
what is the larger fraction 5/6 or 8/10
Answer:
5/6
Step-by-step explanation:
5/6=0.84, 8/10= 0.8
Mandy gets 6 out of every 8 questions on a test correct. If she gets 27 questions correct, how many questions are on the test?
Answer:
36
Step-by-step explanation:
She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4
so we can say the ratio multiplied by the number of questions equals the correct answers
while x is the number of questions:
solve for x
3/4 * x = 27
x = 27 / (2/3) = 36
solve the equation:x²y²–x²–y⁴+y²=0
Can someone help please (‘:
Answer:
exponent is -3, ceofficiant is 4
(d)
On a coordinate plane, a line goes through points (0, 1) and (3, 0). Y = one-half x minus 1.
Identify the slope of the graphed line:
Identify the y-intercept of the graphed line:
Identify the slope of the line given by the equation:
Identify the y-intercept of the line given by the equation:
Answer:
Step-by-step explanation:
1. -1/2
2. -1
3. -1/2
4. -1
Answer:
Identify the slope of the graphed line: -1/3
Identify the y-intercept of the graphed line: 1
Identify the slope of the line given by the equation: 1/2
Identify the y-intercept of the line given by the equation: -1
Step-by-step explanation:
the other person is wrong i got a 100 on my assignment its correct on edge 2021 hope this helps!!