Answer:
1st term = -5
4th term = -17
8th term = -33
Step-by-step explanation:
1st term = -2 x (2 x 1) -1
= -2 x 2 - 1
= -4 - 1 = - 5
4th term = -2 x (2 x 2) -1
= -2 x 4 - 1
= -8 - 1 = - 9
8th term = -2 x (2 x 8) - 1
= -2 x 16 - 1
= -32 - 1 = - 33
The First Super Bowl was in what Year-
A. 1957
B. 1967
C. 1969
D. 2000
Answer:
B, 1967.
Step-by-step explanation:
Hope this helps.
If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?
Answer:
The triangle is not right angled.
Step-by-step explanation:
According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.
For example, in triangle ABC,
[tex]AB^{2} = BC^{2}+CA^{2}[/tex]
It shows, that the triangle ANBC is right angled and right angle is at C.
So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.
What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°
Answer:
x = 50
Step-by-step explanation:
The unknown arc is
360 -30-100-100 =
130
We can find the value of x
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
x = 1/2 ( 130 -30)
x = 1/2 (100)
x = 50
in 824,795 what digit is in the ten thousand place
Answer:
2 is in the ten thousanths place
Step-by-step explanation:
This is because 2 in 824,795 has the value of 20,000.
What is a advantage to using equations
Answer:
it helps to find unknown variables
Answer:
it helps to discover unknown operations and variables
In a certain Algebra 2 class of 29 students, 17 of them play basketball and 6 of them play baseball. There are 8 who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
explanation
above shows total explanation by set theory,
answer
2
, t
Simplify. x 0 yz -3
Simplify. x 0 yz -3
Answer:
y / z^3
Step-by-step explanation:
x^0 is 1 because anything to the zero power is 1
1 *y z^-3
We know a^-b = 1/a^b
y / z^3
Answer:
[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]
Step-by-step explanation:
x⁰yz-³
Any non expression raised to power of 0 equals 1.[tex] \small \sf \: 1yz {}^{ - 3} [/tex]
Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]
[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]
I Need help fast I’d really appreciate it!
Step-by-step explanation:
a) The range at which the internal temperature can rise is from 2°F to 6°F, which means that in order fo the final temperature of the turkey to fall within the range of 165-170°F, we need to pull remove the turkey when the internal temperature is at a minimum of 164°F or a maximum of 168°F.
b) I'd rather err on the higher side of the internal temperature. After all, no one eats poultry cooked medium rare due to the high probability of salmonella poisoning and the 165-170°F is meant to destroy the microbes that causes food poisoning. Not only that, poultry meat gets sufficiently cooked at that range.
Solve: y = 2x. y = -x+3. Write the coordinates (__, __)
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.
We are given the equations below:
[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]
Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.
[tex] \large{2 x = - x + 3}[/tex]
Isolate the x-term by adding both sides by x.
[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]
Divide both sides by 3 so we can finally get the x-isolated equation.
[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]
Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.
[tex] \large{y = 2x}[/tex]
Substitute x = 1:
[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]
The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).
Answer
(1,2) is the solution.I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!
In a class there are 11 boys and 19 girls.
The mean weight of all 30 children is 32.85 kg.
The mean weight of the 11 boys is 31.9 kg.
Work out the mean weight of the 19 girls.
Answer:
explain two ways in which the preservation of natural environments adds quality of life in a country : ,
A side of the triangle below has been extended to form an exterior angle of 154º. Find
the value of x.
Answer:
x = 64
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
154 = x+90
Subtract 90 from each side
154-90 = x
64 =x
Answer:
x = 64
Step-by-step explanation:
First, we need to find the unknown interior angle next to the exterior angle.
? + 154 = 180
? = 26
Lastly, we need to find x.
x + 26 + 90 = 180
x + 116 = 180
x = 64
PLEASE HELP ASAP!!!
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
Function r gives the remaining amount of rice, in kilograms, as a function of the number of weeks, w, since the restaurant owner bought the rice.
B) Use function notation to write a rule that defines function r.
Answer:
75 - 4.5 w would equal r if we knew what w is, then finding r would be as easy, when i divided 75 by 4.5, it gave me 16 two / thirds, so the remainder is two/thirds of 4.5 which is 3, so r = 3 and if you wanted to find w, it is 16
Step-by-step explanation: math, it's great, but horrible at the same time
pls help me solve thisss
Answer:
D. 8
Step-by-step explanation:
[tex]3\frac{3}{5} x2\frac{2}{9}[/tex] Convert the fractions into a improper fractions
[tex]\frac{18}{5} x\frac{20}{9}[/tex] Multiply 18 x 20 / 5 x 9
[tex]\frac{360}{45}[/tex] Simplify
8
Find the product of (4a-5b) and (3a+4b-2c).
AISO, Find the value of the product when A=2 b-3 and C= -2
Answer:
solution given:
product of (4a-5b) and (3a+4b-2c) is:
(4a-5b)*(3a+4b-2c)4a(3a+4b-2c)-5b(3a+4b-2c)12a²+16ab-8ac -(15ab+20b²-10bc)12a²+16ab-8ac-15ab-20b²+10bc12a²+16ab-15ab+10bc-8ac-20b²12a²+ab+10bc-8ac-20b²the value of the product when A=2 b-3 and C= -2 :
(4a-5b)*(3a+4b-2c)
(4*2-5*(-3))*(3*2+4*(-3)-2*(-2))(8+15)(6-12+4)23*(-2)-46Sofia works at a company where she gets a set 5% raise every year. If her current salary is $83,000, what will her salary be in 2 years?
Answer:
the answer is 91,5007.50 dollars
Step-by-step explanation:
find the first year you would do 83,000 times 105% and that would equal 87,150 next you would do 87,150 times 105% and I would equal to 91,507.50
Answer:
83830
Step-by-step explanation:
because 5percent of 83000 is 412 and 412 plus 412 is 830 and plus 83830
Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.
Answer:
47 pencil
Step-by-step explanation:
Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.
Cost of pencils = Rs 20 per pencil * x pencils = 20x
Cost of erasers = Rs 4 per eraser * x eraser = 4x
40% profit was made on pencils, hence:
Profit on pencils = 40% of cost price = 0.4 * 20x = 8x
50% profit was made on erasers, hence:
Profit on eraser = 50% of cost price = 0.5 * 4x = 2x
Since the total profit from pencil and eraser was Rs 470, hence:
8x + 2x = 470
10x = 470
x = 47
Therefore he purchased 47 pencil
Find the value of x. Round your answer to the nearest tenth of a unit.
Answer:
Sin31°= 11/x
x = 11/Sin31
x= 21.4. ( Nearest tenth).
Answer:
x ≈ 21.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × sin31° = 11 ( divide both sides by sin31° )
x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )
which ordered pair is a solution of the equation 5x-3y=-12
A) (-3,-1)
B) (-1,-2)
C) (-1,-3)
D) (-2,-1)
PLEASE EXPLAIN ANSWER
Find the value of x.
Show work. please help
Answer:
x=7
Step-by-step explanation:
Since this is an isosceles triangle the two angles are equal.
3x+6 = 5x-8
Subtract 3x from each side
3x+6-3x = 5x-8-3x
6 = 2x-8
Add 8 to each side
6+8 = 2x-8+8
14 = 2x
Divide each side by 2
14/2 = 2x/2
7 = x
Answer:
x = 7
Step-by-step explanation:
Its two angle is equal so, it is isosceles triangle.
3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).
3 x + 6 = 5 x - 8
Subtract 3 x from both side
3 x - 3 x + 6 = 5 x - 3 x - 8
6 = 2 x - 8
add 8 to each side
6 + 8 = 2 x - 8 + 8
14 = 2 x
Divide each side by 2
14 / 2 = 2 x / 2
7 = x
Which of the following sequences is not geometric
Find the midpoint of the segment with endpoints:
(9,8) and (3,5).
pls pls pls pls help!!!! for geometry final
Answer:
Step-by-step explanation:
here x1=9 y1=8 x2=3 y2=5
midpoint=(x2+x1/2 , y2+y1/2)
=(3+9/2 , 5+8/2)
=(12/2 , 13/2)
=(6 , 13/2)
Two numbers are in the ratio 3:5. If one of them is greater than the other by 10,Find the smaller number.
Answer:
smaller number = 15
Step-by-step explanation:
Let the two numbers be 5x and 3x respectively.
According to the question —
5x — 3x = 10
2x = 10
x = 5
Thus the smaller number is 3 × 5 = 15
Answer:
15?
Step-by-step explanation:
Sorry I'm not entirely sure that is correct but I hope it helped!
The path of a breaching ocra whale can be modeled by the function k(x) = x^2 - 2x - 8, where x is the time elapsed in seconds under water, and k(x) is the height in ft below the water.
Determine HOW LONG is the ocra (killer) whale underwater to the nearest second. MUST BE SOLVED ALGEBRAICALLY!
Answer:
The time duration of the ocra whale spends under water is 4 seconds
Step-by-step explanation:
The equation that model the path of the ocra whale is presented as follows;
k(x) = x² - 2·x - 8
Where;
x = The time elapsed in seconds under water
k(x) = The height in feet below water
Therefore, the point where the ocra whale enters the water, k(x) = 0
At the point of submerging below the water surface, we have;
k(x) = 0 = x² - 2·x - 8
Factorizing the quadratic equation gives;
0 = x² - 2·x - 8 = (x - 4)·(x + 2)
Therefore, when k(x) = 0, either;
(x - 4) = 0, which gives, x = 4
(x + 2) = 0, which gives, x = -2
Given that 'x' represent the time, the time elapsed while the whale is under water, x = 4 seconds
100 POINTS IF YOU GET IT RIGHT
Use the Rational Root Theorem to list all possible rational roots of the polynomial equation
x^3 – 5x^2 - 4x + 8 = 0. Do not find the actual roots.
The person above this should have the answer. It seems like nobody else is answering.
Find x and the y intercepts of the photo
help me with this math question
Answer:
x= 44.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 27 = 20/x
x sin 27 = 20
x = 20 / sin 27
x= 44.05378529
Rounding to the nearest tenth
x= 44.1
Find the average rate of change of
Answer:
Rate of change = - 4
Step-by-step explanation:
[tex]h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\[/tex]
Rate of change :
[tex]= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4[/tex]
need this solved for geometry ! thanks !
what would be the equation for this graph? (WILL GIVE BRAINLEIST!)
Answer:
y = (x - 2)² - 9 Vertex form
y = x² - 4x - 5 Standard form
Step-by-step explanation:
vertex = (h, k) = (2, -9)
Vertex form
y = a(x - h)² + k
y = a(x - 2)² - 9
find "a" using point (5, 0)
0 = a(5 - 2)² - 9
0 = a(3)² - 9
0 = 9a - 9
9 = 9a
a = 1
y = (x - 2)² - 9
Standard form
y = (x² - 4x + 4) - 9
y = x² - 4x - 5
Question on image. (6)
will report answers out of question. Thank you
Answer:
the answer is 6 i think
Step-by-step explanation:
Answer:
XW=5
Step-by-step explanation:
WY is congruent with ZW, so WY=12
XY is the radius, so XY=13
Since this is a right triangle, you use Pythagorean therom to solve for XW.
a²+b²=c²12²+x²=13²144+ x²=169x²=25x=5XW=5