If the perimeter is 82cm and the length is 30cm, what is the width
Answer: 11cm
Step-by-step explanation:
2(30)+2x=82
60+2x=82
2x=22
x=11
I
On average, there is a 37% chance of a ship being an oil tanker. If 22 ships are scheduled to
be in port today, what is the probability that 7 of the ships are oil tankers?
Answer:
21.56
Step-by-step explanation:
Why does this curve slope more steeply upward as time increases? What is the domain of this function? What is the range?
Answer:
The curve becomes more steeply upward because the runner is gradually building up speed.
Domain [0,11]
Range [0,100]
solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign Taking -(ve) sign
(9+√69)/6=0 (9-√69)/6=0
∴(9+√69)/6=0 ∴(9-√69)/6=0
[∵They cannot be further solved]
The solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 3x² - 9x + 1 =0.
Solve the equation as follows:
3x² - 9x + 1 =0
Use the quadratic formula to solve the equation:
[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]
Hence, the solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
Learn more about the quadratic equations:
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what variable is used to represent SLOPE?
Answer:
M is used to represent the slope.
Step-by-step explanation:
Y = MX + C
Answer:
m is used to represent the slope
Step-by-step explanation:
y=mx+b
The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s,
are attached to a pole at a point 20 feet above the ground. The combine length of the two cables
is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the
measure of the angle, x, to the nearest degree, that cable s makes with the ground?
Answer:
x = [tex]24^{o}[/tex]
Step-by-step explanation:
r + s = 70 feet
Applying Pythagoras theorem to the triangle formed by cable r;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/r/^{2}[/tex] = [tex]/20/^{2}[/tex] + [tex]/8/^{2}[/tex]
[tex]r^{2}[/tex] = 400 + 64
= 464
r = [tex]\sqrt{464}[/tex]
= 21.541
Length of cable r is 21.54 feet.
So that,
r + s = 70 feet
21.54 feet + s = 70 feet
s = 70 feet - 21.54 feet
= 48.46 feet
Length of cable s is 48.46 feet.
Applying trigonometric function to the triangle formed by cable s, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{20}{48.46}[/tex]
= 0.4127
x = [tex]Sin^{-1}[/tex] 0.4127
= 24.3746
x = [tex]24^{o}[/tex]
The measure of angle that s makes with the ground is approximately [tex]24^{o}[/tex].
The distinct lines a, b, c, and d are in the same plane. Tell how a and d relate. Justify your answer.
Answer:
c
Step-by-step explanation:
There a is parallel to d because a is perpendicular to c and c is parallel to d which is the correct answer that would be option (C).
What is the coplanar?A group of points that are coplanar, or a planar surface that extends endlessly in all directions, are all located on the same plane. Four or more points may or may not be coplanar, however, any two or three points are always coplanar.
The distinct lines a, b, c, and d are in the same plane.
a⊥b, bllc, and clld
Line a is perpendicular to line b, line b is parallel to line c, and Line c is parallel to line d which is given in the question.
Line a is perpendicular to line b (given)
Line b is parallel to line c (given)
Line c is parallel to line d (given)
Thus, Line a is parallel to line d
Therefore, a is parallel to d because a is perpendicular to c and c is parallel to d.
Hence, the correct answer would be an option (C).
Learn more about the coplanar here:
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Question : 4x -8 = -4 (11+2x)
What’s the answer?
Answer:
x = -3
Step-by-step explanation:
4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)
4x - 8 = -44 + -8x (add 8x on both sides)
12x - 8 = -44 (add 8 on both sides)
12x = -36 (divide both sides by 12)
x = -3
Hope this helps ya!!
Determine which regions contain cube roots of −1. Check all that apply.
Answer:
its A, C, and F
Step-by-step explanation:
Answer:
A, C, F
Step-by-step explanation:
PLEASE HELP ME WITH THIS PLEASE HELP SHOW FULL WORK ?
Answer: ok the first one is 45 i think and the second one is 7
Step-by-step explanation:
What is the component form and magnitude of the vector? LeftAngleBracket 3, negative 2 RightAngleBracket and StartRoot 13 EndRoot LeftAngleBracket 3, negative 2 RightAngleBracket and StartRoot 5 EndRoot LeftAngleBracket negative 3, 2 RightAngleBracket and StartRoot 13 EndRoot LeftAngleBracket negative 3, 2 RightAngleBracket and StartRoot 5 EndRoot
Answer:
C
Step-by-step explanation:
edg 2023
Need Help !!!! ASAP
Answer:
Step-by-step explanation:
que es asap
Answer:
I can give you the forumal for solving all the problems.
Step-by-step explanation:
If this is finding the circumference, then you will need to do
[tex]C = 2*\pi *r[/tex]
If you want to find the area, you need to do
[tex]A = \pi * r^{2}[/tex]
p-q= 10 q(2p-10)=1000
The first equation can be rearranged to obtain p=10+q.
Substituting this into the second equation,
[tex]q(2(10+q)-10)=1000 \\ \\ q(10+2q)=1000 \\ \\ q(5+q)=500 \\ \\ q^2 + 5q-500=0 \\ \\ (q+25)(q-20)=0 \\ \\ q=-25, 20 \\ \\ q=-25 \implies p=-15 \\ \\ q=20 \implies p=30 \\ \\ \therefore \boxed{(p,q)=\{(-15, -25), (30, 20)\}}[/tex]
Solve and graph the inequality
6X + 32 > -4
Answer:
Simplifying
6x + 32 = 180
Reorder the terms:
32 + 6x = 180
Solving
32 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 6x = 180 + -32
Combine like terms: 32 + -32 = 0
0 + 6x = 180 + -32
6x = 180 + -32
Combine like terms: 180 + -32 = 148
6x = 148
Divide each side by '6'.
x = 24.66666667
Simplifying
x = 24.66666667
6x + 32> -4
6x > -4 - 32
6x > -36
x > -6
find the value of this expression if x=1 and y=-5
x^2y/7
Answer:
5/7
Step-by-step explanation:
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
giving brainliest
Answer:
1/3x + 1/2
Step-by-step explanation:
1/3x + 3/4 + 2/3x - 1/4 - 2/3x
Combine like terms
1/3x + 2/4
Simplify
1/3x + 1/2
Answer:
1/3x + 1/2
Step-by-step explanation:
Iready I checked it and it was right
Rewrite this standard form quadratic equation into vertex form by completing the square. Upload your work here to show your thinking.
y=x2 - 6x +3
Solution :
Given the equation :
[tex]$y = x^2 - 6x+3 $[/tex]
[tex]$y=1(x^2 - 6x +n)+3$[/tex]
[tex]$n = \left(\frac{b}{2}\right)^2$[/tex]
[tex]$n = \left(\frac{6}{2}\right)^2$[/tex]
n = 9
[tex]$y=1(x^2 - 6x +9-9)+3$[/tex]
[tex]$y=1(x^2 - 6x +9)-9+3$[/tex]
[tex]$y=1(x-3)^2- 6$[/tex]
Therefore the vertex form of [tex]$y = x^2 - 6x+3 $[/tex] is [tex]$y=1(x-3)^2- 6$[/tex].
40 less than blank is 28
Answer: 68
Step-by-step explanation:
40 + 28 = 68
The difference of 28 and 68 is 40
Answer:
40 less than 68 is 12.
Step-by-step explanation:
Simple subtraction only. If you have 68 and you take away 40, you get 12. To check your answer you just add 40 + 12, and what do you get? 68.
Evaluate the expression when b = 100 3/9 (b-64)
Answer:
12
Step-by-step explanation:
3
9
(100−64)
=12
Answer:
b=64 96/149
Step-by-step explanation:
-8.3 divided by 0.25
Answer:
-33.2
Step-by-step explanation:
Answer:this is what I got
Step-by-step explanation:
-33.2 ;-;
Find the upper limit for the zeros of the function
P(x) = 4x 4 + 8x 3 - 7x 2 - 21x - 9
Answer:
We need to find the zeros.
4x^4 + 8x^3 - 7x^2 -21x - 9
You're supposed to use synthetic division, assuming you're in algebra 2. I removed my calculus work.
x = -1 1/2, 1+sqrt5/2 , 1-sqrt5/2
x= -1.5000000119775176
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= -0.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= 1.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
please help me :(((((((((((((((((((((((
Answer:
m∠D=64°
m∠E=90°
m∠F=26°
DE=154°
EF=116°
DF=90°
Step-by-step explanation:
Hope this helps :D
phew, this took me time, so I would appreciate brainliest, thanks have a good day :)
Samual orders four DVDs from an online music store. Each DVDs costs $7.99. Sales tax is 6.75%
Answer:
8.529325
Step-by-step explanation:
Answer:
0.539325
Step-by-step explanation:
I used a calculator.
complete each function table. Then state the Domain and range of the function.
Solve the systems of equations by the elimination method:
-2x + 2y = 2
-4y - 2x = -22
PLEASE HELP! WILL MARK BRAINLIEST
Eva and her children went into a restaurant where they sell hamburgers for $8 each and tacos for $4 each. Eva has $120 to spend and must buy no less than 20 hamburgers and tacos altogether. Also, she must buy at least 18 tacos. If a represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
y ≤ -2x + 30
y ≥ -x +20
y ≥ 18
2 hamburgers, 18 tacos
Step-by-step explanation:
8x+4y ≤ 120
x + y ≥ 20
y ≥ 18
Barney and Robin went shopping at H&M the store was having a sale on all shirts and pants. Barney spent $70 on 3 shirts and 2 pants and Robin bought 1 shirt and 4 pairs of pants for $90. (assume there is not sales tax).
Write an equation to describe the total sent by Barney in the terms of the numbers of shirts and pants purchased. Let x be the price of a shirt and y be the price of a pair of pants.
Answer: barney Robin
70=3x+2y 1x+4y=90
if needed the shirts cost 10$ and the pants cost 20$ each
What would this question look like after we change the mixed numbers to improper & use KCF to rewrite the question?
2 2/5 divided by 1 3/4 =
A) 12/5 x 4/7
B) 12/5 x 7/4
C) 2/5 x 4/3
D) 2 x 3/4
Answer:
B)12/5x7/4
Step-by-step explanation:
Please Branliest
What is the perimeter of the triangle?
unit
Answer:
Step-by-step explanation:
Hey, i can't view the boxes well.
Count the boxes the trangle intersects in the base and use it as your base.
find the same with height.
After that find their Hypotenuse using the Pythagoras theory.
Then find the perimeter of the triangle by adding the two hypotenuse and base.
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
y = (x – 1)2 + 1
y = (x – 1)2 – 1
y = (x + 1)2 + 1
y = (x + 1)2 – 1
Answer:
[tex]y=(x+1)^2-1[/tex]
which agrees with the last option listed.
Step-by-step explanation:
We use the vertex form of a parabola:
[tex]y-y_v=a(x-x_v)^2[/tex]
which with the information we have becomes:
[tex]y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1[/tex]
Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.
[tex]y=(x+1)^2-1[/tex]
Answer:
D
Step-by-step explanation: