[tex] {2x}^{3} + 4 {x}^{2} + 8x \\ \\ 2x( {x}^{2} + 2x + 4)[/tex]
Hope it helpsEight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.
Answer:
1 pound of peanuts cost 3 dollars
1 pound of wallnuts costs 2 dollars
Step-by-step explanation:
24/6=4
12/6=2
For which values of x is the expression undefined x-8/x-5
Answer:
(x+10 (3x-45) is the answer of the question so easy
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2
Find all values of t which the balls height is 23 feet.
Answer:
See below ↓↓
Step-by-step explanation:
Given function
h = 3 + 44t - 16t²We need to calculate the possible values of t at h = 23 feet.
Subsituting h = 23,
23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0Solving for 't' using quadratic formula
t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8Solutions
t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 secondsAnswer:
t = 2.175 s (3 dp)
t = 0.575 s (3 dp)
Step-by-step explanation:
Given equation: [tex]h=3+44t-16t^2[/tex]
To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:
[tex]\implies h=23[/tex]
[tex]\implies 3+44t-16t^2=23[/tex]
[tex]\implies 16t^2-44t-3+23=0[/tex]
[tex]\implies 16t^2-44t+20=0[/tex]
Factor out common term 4:
[tex]\implies 4(4t^2-11t+5)=0[/tex]
Divide both sides by 4:
[tex]\implies 4t^2-11t+5=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Use the quadratic formula to solve for t:
[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]
[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]
Therefore,
t = 2.175 s (3 dp)t = 0.575 s (3 dp)John's water bill this month was $19.67 . Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?
Answer:
0.001967 per gallon
Step-by-step explanation:
19.67/10000 = 0.001967
A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?
Answer:
157 if youre going by 3.14
157.08 if youre going by π
Step-by-step explanation:
you want to find the circumference
circumference is 2πr
the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle
2 * 3.141 * 25 = 157
The length of the path that goes around the outside of the circle stands at 157.08 meters.
What is a circle?A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.
Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.
Now, the perimeter of the circle exists the length of the path that goes around the outside.
Thus, the perimeter of the circle stands,
Perimeter = π × Diameter
= π × 50 meters
= 157.07963 meters ≈ 157.08 meters
Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.
To learn more about the circle
https://brainly.com/question/23580895
#SPJ2
Find the area of the shape.
Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.
Answer:
<(6/√85),(7/√85>
Step-by-step explanation:
Let vector o = 6i + 7j,
The magnitude, | o | = √(6²+7²) = √85
Unit vector, ô = (6i + 7j)/√85
= (6/√85)i + (7/√85)j
In component form, ô = <(6/√85),(7/√85>
Select the two values of x that are roots of this equation.
x² + 34-3=0
. A. X=
-3+2/3
2
B. X=
-3-3
N
I X =
C. x.-3+27
=
1/21
2
O
D. *= -3-V21
=
2
Answer:
A. x=3 2.3
B . x=8
C. x=i do not know.
D. x=26
Step-by-step explanation:
A. -3+2/3=2
-3+2/3=-2 1/3
-2 1/3+3 2/3.=2
B. -3-3n=1
-3-3=-6n
-6n+8=1
C i do not understand.
D. -3-v21=2
21√5
Decimal Form:
1.0796532
or -24=2
-24+26=2
5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)
Answer:
Step-by-step explanation:
hello :
dy/dx = 3y sin x means : (1/3) dy/y =sinx dx.....continu integ
How many different ways can the letters of grade be arranged?
( I have to use permutation to solve please and thank you )
Explanation:
Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.
In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.
Alternatively, you can use the nPr permutation formula
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.
Answer:
120 ways
Step-by-step explanation:
The given word is :
GRADEIt has five letters⇒ Any of the 5 letters can be in each place
⇒ 5! ways is the number
⇒ 5 x 4 x 3 x 2 x 1
⇒ 20 x 6
⇒ 120 ways
how do you simplify (y+z)^3
Answer: y3+3y2z+3yz2+z3
Step-by-step explanation:
(y+z)3
=(y+z)*(y+z)*(y+z)
=(y+z)(y2+2yz+z2)
=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)
=y3+2y2z+yz2+y2z+2yz2+z3
=y3+3y2z+3yz2+z3
PLEASE HELP what is the remainder if 3⁷³ is divided by five please and BRAINLIEST
Answer:
3
Step-by-step explanation:
3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,
3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.
Hello, pls help. Ty!
[tex] [/tex]
Answer:
See below ↓↓↓
Step-by-step explanation:
Question #1
line DE is the segment bisector as it bisects the line segment ACQuestion #2
A bisector divides a line in halfSo, AB = 1/2ACAB = 1/2 x 20 = 10 cmQuestion #3
Similarly, it divides the line in half in this case as wellBC = 1/2AC or AC = 2BCAC = 2 x 7 = 14 cmMultiply and divide rational expressions and simplify the answer
Answer:
1. 32x/15
2. 2/x-4
3. 1/10x+10
4. 3x^6/5x^9
5. (x-3)(x-9)/6
6. x^2/3
Step-by-step explanation:
multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.
PLS HELP FAST!!! NO LINKS
Answer:
Im 98% sure its the first one
Step-by-step explanation:
4 + (x + y) = (4 + x) + y =
what are the properties?
Answer:
Distributive
Step-by-step explanation:
Please factorise 14cd – 7c
Answer:
7c (2d - 1)
Step-by-step explanation:
Common factorization
Answer:
[tex]\bold{ 7c(2d - 1)}[/tex]
Step-by-step explanation:
[tex]\sf \rightarrow 14cd - 7(c)[/tex]
take 7(c) as common factor
[tex]\sf \rightarrow 7c(2d - 1)[/tex]
factorised
[tex]\sf 7 c(2d - 1)[/tex]
a) Write an expression to represent the amount of money you
should have in the following situation.
Angela has $29 in her wallet. She gets paid $19 per hour and she
worked 8 hours last week and 6 hours this week. Then her friend
friend Tom borrowed $58.
b) How much money does Angela have left ?
PLEASE ANSWER THIS. I have an assignment due soon :((
Answer: $237
Step-by-step explanation:
Angela: 29 + 19(6 + 8) - 58
= -29 + 19(14) = -29 + 266 = $237
help please!!!!!!!! please be correct
Answer:
Step-by-step explanation:
the answer is 66. To find the third angle subtract 80 and 34 by 180.
find out 6c+4dc when c=4.5 and d=6.6
show how to do it step by step
Answer:
145.8
Step-by-step explanation:
6c+4dc, where c=4.5 d=6.6
6(4.5) + 4(6.6) (4.5)
27 + 118.8
=145.8
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
Slope-intercept Form: y = 3/4*x -2
Step-by-step explanation:
From looking at the graph we can get out slopes which is rise/run and y-intercept.
m = 3/4 and b = -2
Slope-intercept Form: y = 3/4*x -2
If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.
Write an equation in point-slope form for the line that passes through the points (f, g) and (h,j).
Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the lineTo write an equation in point-slope form:
Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]Solving the QuestionWe're given:
The line passes through the points (f,g) and (h,j)Solve for the slope (m):
[tex]y-y_1=m(x-x_1)[/tex]
⇒ Plug in the point (f,g) as (x,y):
[tex]g-y_1=m(f-x_1)[/tex]
⇒ Plug in the point (h,j) as (x₁,y₁):
[tex]g-j=m(f-h)[/tex]
⇒ Isolate m by dividing both sides by (f-h):
[tex]\dfrac{g-j}{f-h}=m[/tex]
⇒ Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].
Plug the slope into the general equation:
[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]
Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
AnswerThere can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?
X=_____
Answer:
X=97
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=65
B=72
72x72=5184
65x65=4225
4225+5184=9409
Last,
Take the square root of 9409.
The square root is 97.
Therefore, the hypotenuse is 97.
To check, use the equation:
[tex]a^2+b^2=c^2[/tex]
A=65
B=72
C=97
72x72=5184
65x65=4225
97x97=9409
5184+4225=9409
9409=9409
Therefore, the missing side, which is the hypotenuse, is 97.
Answer:
97
Step-by-step explanation:
Given:
Opposite = 65Adjacent = 72Hypotenuse = xDefinition:
Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.To find:
Value of xPythagorean Theorem:
[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]
Determine:
a = oppositeb = adjacentc = hypotenuseNote:
a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.Therefore, substitute given information in:
[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]
Evaluate:
[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]
Square Root both sides:
[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]
Cancel the squared x, add plus-minus:
[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]
Simplify the surd:
[tex]\displaystyle \large{\pm 97 = x}[/tex]
However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:
[tex]\displaystyle \large{x=97}[/tex]
Hence, the value of x is 97
terry had his car repaired ace auto. he was charged $40 per hour of labor plus 200 for parts. his total bill for the repair before tax was $380. how many hours of labor was terry charged for? write an equation
Answer:
380 = 40h +200 (equation)
4 1/2 hours (solution)
Step-by-step explanation:
The total cost is the sum of labor cost and parts cost. The labor cost depends on the number of hours.
__
An equation describing Terry's charges might be ...
total = labor cost + parts cost
380 = 40h +200 . . . . . . labor was $40 per hour for each of h hours
180 = 40h . . . . . . subtract 200
4.5 = h . . . . . . divide by 40
Terry was charged for 4 1/2 hours of labor.
Nine is 2% of what number?
Answer:
450
Step-by-step explanation:
9=1/50 times x
x=450
Help my 9 year old sister please
Answer:
He multiplied 28 by 7 instead of dividing it.
28 times 7 equals 196.
Step-by-step explanation:
I hope this helps! Have a lovely day!!! :)
Tori made a scale drawing of an Italian
restaurant. The restaurant's kitchen is 2
millimeters long in the drawing. The actual
kitchen is 16 meters long. What scale did Tori
use for the drawing?
1 millimeter :
meters
Step-by-step explanation:
2mm : 16m
so to get 1mm you need to divide 16 by 2
16/2 is 8 therefore
1mm : 8m
1 millimeter represents 8 meters in real life
hope that helps :)
which statement about the transformation is true? A. the unshaded octagon is a reflection because it is a flip over a diagonal line B. the unshaded octagon is a dilation because it is smaller than the shaded octagon C. the unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon D. the unshaded octagon is a vertical translation because it is directly under the shaded octagon
A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?
Answer:
12.0
Step-by-step explanation:
we solve using the pythagorean theorem.
sqrt of (12.5^2 - 3.5^2)
answer is 12
rounded of to the nearest tenth is 12.0
