Answer:
n² / (n³ + 5)
Mr. Wong predicted that he would sell 45 automobiles. He actually sold 48 automobiles. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Automobiles 45 48 a b a = Negative StartFraction 3 over 45 EndFraction; b = negative 6.8 percent a = Negative StartFraction 3 over 48 EndFraction; b = negative 6.25 percent a = StartFraction 3 over 48 EndFraction; b = 6.25 percent a = StartFraction 3 over 45 EndFraction; b = 6.8 percent
Answer:
a = 3.45b = 6.67%Step-by-step explanation:
Initial prediction of sales = 45 automobile
Actual amount sold = 48 automobiles
Absolute error ratio a = actual amount sold - initial prediction/initial prediction
Absolute error ratio a = 48-45/45
Absolute error ratio a = 3/45
%error = actual amount sold - initial prediction/initial prediction * 100%
% absolute error = 48-45/45 * 100
% absolute error = 3/45 * 100
% absolute error b = 6.67%
Answer:
a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent
Step-by-step explanation:
Your Welcome;)
PLEASE HELP ME WITH THIS IT'S TIMED I WILL GIVE BRAINLIEST-
1. A right triangle has side lengths 15 centimeters, 20 centimeters, and 25 centimeters. How can you use the Pythagorean Theorem to write an equation the describes how the side lengths are related?
2. How do you know that the geometric proof of the Pythagorean Theorem in question 1 can be applied to all right triangles?
Step-by-step explanation:
1)
In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.
Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.
Now, by Pythagorean theorem:
[tex] (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2
\\\\\therefore 20^2 +15^2 =25^2[/tex]
2)
Because all right triangles have one hypotenuse and two perpendicular legs.
For each pair of congruent triangles, name the corresponding parts then complete the congruence statement
Answer:
First one
Step-by-step explanation:
the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively determine the area of trapezium
Answer:
903 sq. cm.
Step-by-step explanation:
It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.
Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.
Area of parallelogram is
[tex]A_1=base\times height[/tex]
[tex]A_1=51\times 13[/tex]
[tex]A_1=663[/tex]
Using heron's formula, area of triangle is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where, [tex]s=\dfrac{a+b+c}{2}[/tex].
The sides of triangle are 13cm, 37 cm, and 40 cm.
[tex]s=\dfrac{13+37+40}{2}=45[/tex]
Area of triangle is
[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]
The area of trapezium is
[tex]A=A_1+A_2=663+240=903[/tex]
Therefore, the area of trapezium is 903 sq. cm.
Each 6 students reported the number of movies they saw in the past year 18,14,18,14,19,9
Answer:
Average: Add all and divide by 6
that gives us 92/6 = 15.333... or 15
Median: order it:
9, 14, 14, 18, 18, 19
median is 16
2 averages
Median: 16
Average: 15.33.. or 15
Outlier: 9
AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
What is the measure of ∠DQM ?
Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
In a condominium complex, 2/3 of the women are married to 3/4 of the women. What part of the entire population is married? Please show work
Answer:
(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)
Part of Entire Population married = 12/17 = 70.58%
Step-by-step explanation:
Fraction of men married:
[tex]\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........[/tex]
Fraction of women married:
[tex]\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........[/tex]
To solve the problem, we know that number of husbands should be equal to number of wives.
Number of husbands and wives are represented by the numerators of both fractions.
We have to find such a multiple of each fraction such that there numerator are same.
Let fraction of men married: [tex]\frac{6}{9}[/tex]
Let fraction of women married: [tex]\frac{6}{8}[/tex]
Add the numerators and denominator to find the solution:
[tex]\frac{6+6}{9+8}= \frac{12}{17}[/tex]
attachment Mathswatchhhh!!!!!!!!!
Answer:
(a) draw the graph using these coordinates :
(0,-1) and (3,1)
(b) x = 3
Simplify the expression
12x^-6 y^10 •3x^7y
Simplify the Expression : -20 - (-5) * (-2^2)
Answer:
-40
Step-by-step explanation:
-20-(-5)*(-2^2)
- and a - = positive
-2^2 = -4 but if it was (-2)^2 then it would be 4
-20+5*(-4)
order of operations
-20-20
-40
hope this helps
Find the distance between (16,12) and (0,0)
Answer:
3/4 using equation y2-y1/x2-x1
Step-by-step explanation:
Use the equation y2-y1/x2-x1
x1, y1 x2, y2
(16,12) (0,0)
0-12/0-16= -12/-16= 3/4
part 2. Find the measure of the indicated angle to the nearest degree
Answer:
i hope this helps you
Which of the following is equivalent to 18-V-25
Answer:
the correct answer is 18 - 5i.
Step-by-step explanation:
Answer:
18-5i
Step-by-step explanation:
What is the solution to 2x2+8x=x2-16?
Answer:
x = -4
Step-by-step explanation:
1. (2x2 + 8x) - (x2 - 16) = 0
2. Factoring x2+8x+16
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 8 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8
-2 + -8 = -10
-1 + -16 = -17
1 + 16 = 17
2 + 8 = 10
4 + 4 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 4 and 4
x2 + 4x + 4x + 16
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+4)
Add up the last 2 terms, pulling out common factors :
4 • (x+4)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x+4)
Which is the desired factorization
Multiply (x+4) by (x+4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
(x + 4)2 = 0
3.
Solve : (x+4)2 = 0
(x+4) 2 represents, in effect, a product of 2 terms which is equal to zero
For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Answer:
x = -4
Step-by-step explanation:
=> 2x²+8x = x²-16
=> 2x²- x² + 8x + 16 = 0
=> x² + 8x + 16 = 0
Using mid-term break formula
=> x² + 4x + 4x + 16 = 0
=> x(x+4)+4(x+4) = 0
=> (x+4)(x+4) = 0
=> (x+4)² = 0
Taking square root on both sides
=> x+4 = 0
=> x = -4
2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B
Answer:
525 mm
Step-by-step explanation:
The edges of A : B = 2.5, thus
The perimeters of A : B = 2.5
Thus the perimeter of B is 2.5 times the perimeter of A
perimeter of B = 2.5 × 210 mm = 525 mm
The two segments formed as a result of a bisector will
always be______?
1Proportional
2Perpendicular
3Congruent
4Parallel
Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?
Answer:
261
Step-by-step explanation:
Answer:
Katie gave away 261 gel pens.
Step-by-step explanation:
3/4 ÷348= 261
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
Answer:
see below
Step-by-step explanation:
f(x) = x^2 – 2x – 3
To find the roots, set the equation equal to zero
0 = x^2 – 2x – 3
Factor, what two numbers multiply to -3 and add to -2
-3 * 1 = -3
-3 + 1 = -2
0 = (x-3)( x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
Answer:
3
Step-by-step explanation:
cuz i said so lol
Solve for x in the diagram below.
200
(3x + 10°
Answer:
x = 20°
Step-by-step explanation:
4x + 10 = 90
4x = 80
x = 20
Answer:
[tex] \boxed{x\degree = 20\degree} [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]
if a function is one to one then the range becomes the what of the inverse function
One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .
А
is a number written with a variable to indicate the product of the number and the variable in a term.
Answer:
Coefficient
Step-by-step explanation:
The blank word is coefficient.
Coefficient is a number written with a variable to indicate the product of the number and the variable in a term.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Let the expression,
y = mx.
Here, x and y are the variables.
And m is the constant.
So, m is multiplied to the variable x.
That means, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.
Therefore, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.
To learn more about the expression;
brainly.com/question/24242989
#SPJ6
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4.2^8
Answer:
You can't use this rule because the two exponents have different bases. In order to use this rule the two exponents must have the same base.
Answer:
It is because both expressions have different base value. For this question, the bases are 3 and 2 where the product rule cannot be applied. Product rule can only be used when both expressions have the same bases.
compared to jenny, sally is 5/6 as tall and may is 4/5 as tall. How many time taller is sally than may
Answer:
25/24
Step-by-step explanation:
Let
Sally=S
May=M
Sally is 5/6 as tall
S = 5/6
May is 4/5 as tall
M = 4/5
S/M = 5/6/4/5
=5/6×5/4
=25/24
What is 12 1/4`÷7/8
Answer:
14
Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Please answer !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer & Step-by-step explanation:
[tex]\frac{1}{4}(x+5)^2-1=3[/tex]
Add 1 to both sides.
[tex]\frac{1}{4}(x+5)^2=4[/tex]
Multiply both sides by 4.
[tex](x+5)^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]
[tex]x+5=4[/tex]
Subtract 5 from both sides.
[tex]x=-1[/tex]
Can u help with this question please
Answer:
a > -21 1/3
Step-by-step explanation:
3/4a > -16
Multiply each side by 4/3
4/3 * 3/4a > -16 * 4/3
a > -64/3
a > -21 1/3
what is a listed method in mathematics
Answer:
Listing method is a method to list all the elements separating each element by the comma and enclosing
Step-by-step explanation:
can someone tell me how to do area i forgot
Answer:
the answer is
length * width
or side * side
Step-by-step explanation:
Answer:
Below:
Hope this helps :DDD
Step-by-step explanation:
Area of rectangle / square / parallelogram: Base * height
Area of triangle: [tex]\frac{Base*height}{2}[/tex]
Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]
Area of trapezoid: [tex]\frac{Base1 + Base2}{2}*height[/tex]
Area of circle: [tex]\pi r^2[/tex]
Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]
When the point (3,k) lies on each of these lines, find the value of k.
a) y=3x+2
b) y=4x-2
c) y=3-2x
d) x+y=7
e) x-2y=1
If you answer you don't have to explain but please do
Which value of x makes 7+5(x-3)=22 a true statement?
Choose 1 answer:
A
x=4
B
x=5
C
x=6
D
x=7
Answer:
C
X=6
Step-by-step explanation:
7+5x-15=22
5x-8=22
5x=22+8
5x=30
X=30/5
X=6
