Answer:
Step-by-step explanation:
The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:
[tex]2x(x^2-100)[/tex]
BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to
(x - 10)(x + 10). So the complete factorization is
2x(x - 10)(x + 10)
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
Translate this sentence into an equation. 46 is the sum of 21 and Mabel's savings.
The groundskeeper filled the first sandbox with sand to a height of 6 inches. What is the volume,
in cubic feet, of the sand that was used to fill the first sandbox to a height of 6 inches? Show or explain
how you got your answer
Enter your answer and your work or explanation in the space provided
Answer:
you didnt provide the other 2 measurements, its length x width x height for volume
In total, 28 chickens and pigs were on a farm. In total, there are 90 feet. How many chickens? How many pigs?
Answer:
17pigs and 11 chicken
Step-by-step explanation:
marcus purchased a sail boat for $56,900. he anticipates each year the boat will decrease in value by 8.1% from the previous year.
enter numbers in the boxes to write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Purchase price= $56,900
Decrease in value= 8.1% per year from the previous year
To calculate the value of the sailboat after x number of years, we need to use the following formula:
Future value= purchase price / (1 + decrease in value)^x
For 10 years:
FV= 56,900 / (1.081^10)
FV= $26,112.91
The question is in the pic.
Answer:
$100
$120 in and $20 out
Step-by-step explanation:
Answer:
the answer is $100
because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money
1. If two lines are parallel, then the slopes of the lines would be...
A. opposite
B. Reciprocals
C. Equal
D. Opposite Reciprocals
E. Binomials
F. Quadratic
2. If two lines are perpendicular, then the slopes of the lines would be...
A. Opposite
B. Reciprocals
C. Equal
D. Opposite Reciprocals
E. Binomials
F. Quadratic
are the triangle similar
1-yes
2-no
Answer:
yes the triangle are similar
(2x - 3)(4 - 3x) find the product of binomials
Answer:
6x²+17x-12
Step-by-step explanation:
(2x-3)(4-3x)
8x-6x²-12+9x
Reorder.
6x²+9x+8x-12
Combine like terms.
6x²+17x-12
---
hope it helps
what is the value of the expression (-2 1/2 -7) -6 1/2
Answer:
-2
Step-by-step explanation:
If you need the work let me know but that should be correct! Good luck :)
What is the factored form of 6n4 – 2413 + 18n?
ово
Bn(n° +4nº +31)
Bn(-° +30
6n(n°-4n2+3)
o Bn(n° +4n? +3)
O
Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 6n⁴ – 24n³ + 18n.
Six times of n power four minus twenty four times of n cube plus eighteen times of n.
6n⁴ – 24n³ + 18n.
Now we have to find the factored form of 6n⁴ – 24n³ + 18n.
Take 6n as common
6n(n³-4n²+3)
Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
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7.) Evaluate the expression.
12 - 3V 25
Answer:
-3
Step-by-step explanation:
[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.
This gives 12-3×5 or 12-15.
This solves to -3.
**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!
find the value of x in the equation 4x-2=2x+10
Answer:
x = 6
Step-by-step explanation:
Given
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
You are riding in a hot air balloon on Valentine’s Day withyour sweetheart. As you get ready to set your balloon downyou notice that while your balloon is 500 ft above ground, your friends balloon is 800 ft above ground. The plan is for both balloons to descend straight down. Your balloon willland right at the edge of the lake below, but it appears thatyour friends will be pretty far away. You can see a reflectionof their balloon right in the middle (direct center) of the 1200 ft wide lake below.How far away from the lake will your friends touch down?
(Don't mind my scribbles maybe they will help, maybe not)
Answer:
Try 750 ft?
Step-by-step explanation:
Proportion:
800/500 = 1,200/x
Solve:
1,200 / 800 = 1.5
1.5 * 500 = 750
Hope this helped!
Please mark as brainliest!
Question and choices are in the photo please explain the answer
Answer:
[tex]\text{A) }68\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].
The Pythagorean Theorem states that the following is true for any right triangle:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle
Thus, we have:
[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]
Answer:
the other one should get a brainliest.
I'm just answering to make it technically possible.
Need help with some math
Answer:
A
Step-by-step explanation:
Desnity: mass/volume
3/20= .15
What are the measures of Angles a, b, and c? Show your work and explain your answers.
400
a
650
Answer:
Step-by-step explanation:
angle a=40 degree (being vertically angles)
angle a + 90 +angle b=180 degree (being sum of interior angles of a triangle)
40 +90 +angle b=180
130 + angle b=180
angle b=180-130
angle b =50 degree
vrtically opposite of angle b
vertically opposite of angle b + missing angle=65 degree (sum of two intrior opposite angle is equal to the exterion anle formed)
40 degree + missing angle=65
missing angle=65-40
missing angle=25 degree
angle c+ vertically opposite of angle b + missing angle=180 degree (being sum of interior angles of a triangle)
angle c +50 +25 =180
angle c+75=180
angle c=180-75
angle c=105 degree
The question is in the picture :)
The correct name for a side of the angle is C!
Answer:
C. ED
Step-by-step explanation:
Durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, ¿Escriba y calcule el valor de las acciones al terminar el decimo día?
Answer:
Tras 10 días la acción habrá caído $795.
Step-by-step explanation:
Dado que durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, `para determinar el valor de las acciones al terminar el decimo día se debe realizar el siguiente cálculo:
X - 720 + 45 - 120 = Valor
X - 840 + 45 = Valor
X - 795 = Valor
Por lo tanto, tras 10 días la acción habrá caído $795.
PLS HELP ME SOLVE THIS
2a × 3
Answer:
The answer will be 2a×3=6a
Help! I got 3,593 but that doesn’t make sense
Because the number increase by a percentage this is an exponential growth problem.
The equation for exponential growth is :
Total = start value x ( 1 + percent) ^ time
Using the information from the problem:
2011-2005 = 6 years.
Total = 23 x (1 + 0.72)^6
Total = 23x 1.72^6
Total = 595.52 = 596 total people
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:
[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the Range:
[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,
[tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]
Inter Quartile Range [tex]= Q_3 - Q_1[/tex]
[tex]IQR = 98 - 89 = 11[/tex]
Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?
This unit is operations and fractions how would I solve this?
Answer:
7/12 h
Step-by-step explanation:
1/3 of 1 3/4 = 1/3 of 7/4 = 1/3 x 7/4 = 7/12 h
PLZ HELP LIMITED TIME
Answer:
32
Step-by-step explanation:
Can you help me solve in any algebraic method ?
Answer:
Step-by-step explanation:
x²+(8+3)x +24=0x²+8x+3x+24=0x(x+8)+3(x+8)=0(x+8)(x+3)=0if,(x+8)=0 then,x+8=0x=-8,,if x+3=0 then,x=0-3x= -3,,Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.
Answer: [tex]7\times 10^{-1}[/tex]
Step-by-step explanation:
Given
[tex](4.0\times 105)\div (5.89\times 102)[/tex]
First solve the brackets part in calculator, we obtain
[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]
Which expression is equivalent to - 5 over 3
Find the 98th term of the arithmetic sequence -10, -8, -6, ...
First term = a= -10
common difference=d= -8+10 = 2
n= 98
the 98th term = a+(n-1)d = -10+ (98-1)2
= -10+(97)2 = -10 +194
=184
98th term of the given arithmetic sequence is 184.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
The given arithmetic sequence is -10, -8, -6,......
Here, a=-10, d=-8-(-10) = 2
So, aₙ=-10+(n-1)×2
aₙ=-10+2n-2
aₙ=2n-12
a₉₈=2×98-12
a₉₈=184
Therefore, 98th term of the given arithmetic sequence is 184.
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Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.
A. 8
B. 6
C. 5
D. 7
Answer:
Using the property of intersecting secant:-
[tex](DE)(CE)=(FE)(LE)[/tex]
[tex](4)(x-1+14)=(5)(x-4+5)[/tex]
[tex]4(x+3)=(5x+1)[/tex]
[tex]4x+12=5x+5[/tex]
[tex]4x+-5x=5-12[/tex]
[tex]-x=-7[/tex]
[tex]x=7[/tex]
[tex]So, CD=x-1=7-1=6[/tex]
[tex]so,~your ~answer ~is ~B) ~6[/tex]
----------------------------hope it helps...have a great day!!By intersecting secants theorem, the measure of CD is 6 units.
What is intersecting secants theorem?
The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.
For the given situation,
The diagram shows the circle with the two secants intersecting at the exterior point.
By intersecting secants theorem,
[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)
Here, CE = CD + DE
⇒ [tex]CE = (x-1)+4[/tex]
DE = 4
LE = LF + FE
⇒ [tex]LE = (x-4)+5[/tex]
FE = 5
On substituting the above values in 1,
⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]
⇒ [tex](x+3)(4)=(x+1)(5)[/tex]
⇒ [tex]4x+12=5x+5[/tex]
⇒ [tex]5x-4x=12-5[/tex]
⇒ [tex]x=7[/tex]
Thus CD = [tex]x-1[/tex]
⇒ [tex]7-1=6[/tex]
Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.
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