Find the value of x !!!
Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
Find the measure of an exterior angle of a regular hexagon
Answer: 60 degree angle
Step-by-step explanation:
The rule for polygons is that the sum of the exterior angles adds up to 360. Since there are 6 exterior angles on a 6 sided polygon (hexagon), then we can divide 360 by 6 to find the measure of an exterior angle. This means that one exterior angle of a hexagon is equal to 60 degrees.
Find the sum of the first 14 terms for the sequence -2,10,-50,....
Answer:
Step-by-step explanation:
a=-2
r=10/-2=-5
[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]
Factor to find the zeros of the function k(x) = x2+ 10x - 200.
Answer: x=10, x=-20
Step-by-step explanation:
To find the zeros of the function, we will have to factor the function.
k(x)=x²+10x-200
k(x)=(x-10)(x+20)
Now that we have factored the equation, we set the equation eaul to 0 to find the zeros.
0=(x-10)(x+20)
x-10=0
x=10
x+20=0
x=-20
Answer:
Solve the rational equation by combining expressions and isolating the variable
v
v
.
v
=
x
k
+
10
k
−
200
k
x
Step-by-step explanation:
6. Jim received a total piecework paycheck of $291.81. He receives 71 cents per unit produced.
How many units did he produce?
Answer:
411
Step-by-step explanation:
Take the total amount earned and divide by the price per piece to determine the number of pieces made
291.81/ .71 =411
He made 411 pieces
Find the ninth term of the geometric sequence a4= -135,r=-3
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
Solve for y
-1 + y/8< 15
А. У<7/4
B. y < 2
C. y < 112
D. y<128
Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
remove all perfect squares from the square root of 180
Answer:
It should be 6 square root of 5 or about 13.4 (decimal form)
Explain how to angles can be supplementary angles?
Answer:
if the sum of all the angles equal 180
Step-by-step explanation:
Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points
Answer:
f1: 0.440, f2: 0.931, f3: 1.519
Step-by-step explanation:
To solve the system of equations we need to use the inverse of matrix A, as follows:
A x F = C
A^-1 x A x F = A^-1 x C
I x F = A^-1 x C
where I is the identity matrix.
The inverse of A is:
1.450 -0.392 -0.090
A^-1 = -0.074 -0.022 0.1536
-0.406 0.7122 -0.060
(computed with Excel)
The multiplication between the inverse of A and C gives:
0.440
A^-1 x C = 0.931
1.519
(computed with Excel)
Answer:
1f = .441
f2 = .931
f3 = 1.520
Step-by-step explanation:
did it on edge 2020
Write the equation of the line parallel to y = (3/5)x -9 and goes through the point
(-3, 8).
y + 3 = (-3/5)(x +5)
y + 8 = (5/3)(x - 3)
y - 3 = (3/5)(X + 8)
y - 8 = (3/5)(x + 3)
Answer:
y - 8 = (3/5)(x + 3)
Step-by-step explanation:
11. The x-intercept of the line 2x + 3y – 36 = 0 is:
Answer:
(18,0)
Step-by-step explanation:
2x + 3y – 36 = 0
The x intercept is when y = 0
Solve for x
2x + 3*0 – 36 = 0
2x +0 -36 = 0
2x -36 =0
Add 36 to each side
2x-36+36 = 36
2x = 36
Divide each side by 2
2x/2 = 36/2
x = 18
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
Support | Schlogging | PROFPOLICE | Tesale
Answer:
C =31.4 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
________________________________
Solution,
Radius(r)=5 inches
Circumference of the circle=?
Now,
Circumference of circle= 2 pi r
=2*3.14.5
=31.4 inches.
Hope it helps...
Good luck on your assignment
_______________________________
Stephanie uses 4 cups of flour to make 10 tortillas. How many cups of flour will she use to make 25 tortillas?
Answer: 10 cups
Step-by-step explanation:
10 tortillas = 4 cups
25 tortilas = 25/10 x 4 = 10 cups
Answer:
10 cups
Step-by-step explanation:
Let's use a ratio:
cups : tortillas
4 : 10
2 : 5
10 : 25
Stephanie needs 10 cups of flour.
If f(x) = 3x - 12, what is f(2)?
O A. -6
O'B. 6
O c. 18
O D. -18
Helppp mee plzzz
Answer:
f(2) = -6
Step-by-step explanation:
f(x) = 3x - 12
Let x =2
f(2) = 3*2 -12
= 6-12
= -6
At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?
If xy>0, then the points of P(x,y) lies...
Answer:
In Quadrant I or III
Step-by-step explanation:
We know if the sign was not showing closed inequality facing other way
xy < 0 would be in the 2nd or 4th quadrant.
If xy = 0 then either xy or both are on the x or y axis
But if xy>0 then they are in quadrant I or III
If xy>0, then the points of P(x,y) lies in Quadrant I and III
Quadrants on the Cartesian planeAccording to the given condition;
xy > 0This means that the product of x and y is a positive number.
Hence, either both x and y-coordinates are positive or are both negative
Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.
Read more on Cartesian plane;
https://brainly.com/question/14325342
Is this false, if it is why is it false or true?!
Answer:
Yes, this is false.
Step-by-step explanation:
[tex]\frac{2}{4}[/tex] is really 0.5
[tex]\frac{8}{20}[/tex] is really 0.4
So, it is not equal. If you need me to explain more. I will. :)
Answer:
False. [tex]\frac{8}{20} = \frac{2}{5}[/tex]
Step-by-step explanation:
When you divided [tex]\frac{8}{20}[/tex] by GCF your answer comes out as [tex]\frac{2}{5}[/tex].
I.e.) The GCF is (4)
[tex]\frac{8}{20}[/tex] ÷ [tex]\frac{4}{4}[/tex]=[tex]\frac{2}{5}[/tex]
If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?
Answer:
the answer is -x^2 + 2x - 6
Step-by-step explanation:
If two coins are flipped, what is the probability that both coins will not land on heads?
0%
25%
50%
75%
Will mark as brainliest!
Answer:
50%
is the probability of this question
Answer:
25%
Step-by-step explanation:
We have 4 choices when flipping two coins, HH, HT, TH and TT where H and T are heads and tails respectively. The only option where both coins will not land on heads is TT so the probability is 1/4 = 25%.
May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?
Answer:
The simple interest she earns is $80
p=500
r=8
t=2
Now,
SI=p×t×r/100
SI=500×2×8/100
SI=80
Answer:
[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]
Step-by-step explanation:
Given:
May invested $500 at 8% p.a. for 2 years.
Solve for:
The simple interest she earned.
Step 1: Define the formula to calculated the simple interest
Interest = Principal x Rate x Year
Step 2: Perform the calculation
With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2
Interest = 500 x 0.08 x 2 = 80$
Hope this helps!
:)
match the words that have the same roots. Every word listed has a matching word.
Answer:
Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.
Step-by-step explanation:
Bio
Mor or Mort
Cent
Vise
Logue
Are all the different latin roots present here.
Answer:
1) biology- biography
2) revise-adviser
3) mortal-mortify
4) percent- century
5) dialogue-monologue.
Step-by-step explanation:
1) Bio-Bio
2) vise-viser
3) mor-mor
4) cen-cen
5) logue-logue
are all matching words.
What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)
Answer:
(6, -5) (Answer C)
Step-by-step explanation:
Multiply the first equation by 2. We get the following equivalent system:
4x + 2y = 14
x - 2y = 16
------------------
5x = 30, or x = 6.
Substituting 6 for x in the second equation, we get
6 - 2y = 16, or
- 2y = 10, so that y = -5
and the solution is (6, -5) (Answer C)
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
80 degrees
Step-by-step explanation:
180-100=80 degrees
Answer:
[tex]80 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the ACE angle be x
Given that
ACD angle =100°
[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Answer the question below
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
someone please help me !!!
Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
~
Answer:
the answer is 120 degrees
What is 1/7
as a decimal?
Give your answer rounded to 2
decimal places.
1/7 as a decimal is 0.1428571429
But if you round that to the nearest 2 decimal place it is 0.14
I really hope this helps.
This one has really stumped me, if you could also explain how you got the answer (as well as the answer) that would be amazing! Thank you!
Answer:
98092718
Step-by-step explanation:
lets convert cubic yards to cubic meters
1 cubic meter=1.30790290586 cubic yard
there is an estimated amount of about 750,000,000*1.30790290586 cubic yards
750,000,000*1.30790290586= 980927179.395 cubic yards
now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10
980927179.395/10=98092717.9395
round to the greatest whole number (there can't be any sediment left on Mt. Helens)
98092717.9395 to 98092718
we need 98092718 dump trucks to scoop it all up
Find an equation of the line containing the given pair of points (4,1) and (12,7)
Answer:
Y = 3/4 X -2
Step-by-step explanation:
Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.