Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
Hi help pls no link ty!
Answer:
84.78
Step-by-step explanation:
The full area of the circle without the cutout is 113.04
The cutout sector is 28.26
So that would make our final answer 84.78
by subtracting 28.26(cutout) from 113.04(full circle)
(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360
y=(x-1)^2-9 standard form
Answer:
Y=x^2-2x-8
Step-by-step explanation:
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The standard form of the equation y=(x-1)²-9 is y=x²-2x-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
y=(x-1)²-9 equation is in the form of a quadratic equation
where y is the unknown variable and x is the known variable.
The equation can be written in standard form by expanding the (x-1)² term and combining like terms.
y=(x-1)²-9
y=x²+1-2x-9
Combine the like terms
y=x²-2x-8
The expanded form of the equation is y=x²-2x-8
Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
Which definition best describes a linear pair?
A. A pair of angles that combine to form a straight angle
B. A pair of angles whose sum is 360°
O C. A pair of opposite angles formed by intersecting lines
D. A pair of angles whose sum is 90°
SUBMIT
Answer:
A or C
Step-by-step explanation:
well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary
Hope this helps
Linear pair example below:
Plz help!!! ASAP!!!
-10 pts
also explain answer
thx <3
Answer:
1. 192 m^2
2. 396 ft^2
3. 108 m^2
Step-by-step explanation:
1. 4*8*6 = 192
2. 9*8*11 = 792
792/2 = 396
3. 4*3*9 = 108
the length of a rectangle is five inches less than three times its width . if the perimeter of the rectangle is 150 inches , find the dimensions.
Step-by-step explanation:
let x be the width of the rectangle.
given
length =
[tex]3x - 5[/tex]
inches.
also given Length + Width = 150 inches,
[tex]3x - 5 + x = 150 \\ 4x - 5 = 150 \\ 4x = 150 + 5 \\ 4x = 155 \\ x = 155 \div 4 \\ = 38.75in[/tex]
Since
Length = 3x-5 in
Width = x in,
Length = 3(38.75) - 5 = 111.25 in
Width = 38.75 in
Help please I’m confused
Answer:
x=4 and y = 3 ...answer : 1
Step-by-step explanation:
hello :
x/8 =5/10 means : x=40/10 so: x=4
y/6 =5/10 means : y=30/10 so: y=3
What is a six sided shape called?
Answer:
hexagon
Step-by-step explanation:
Can someone help me with my math pls if your smart comment
Answer:
sureeeeeeeeeeeeeeeeee
Answer:
okay
Step-by-step explanation:
i hope i can help!
~mina
find the area of the figure 4m 7m
Answer:
Step-by-step explanation:
where is the picture?!
Answer:
28m squared
Step-by-step explanation:
7*4 is 28
its worth 25 please help and show work
9514 1404 393
Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
__
3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
__
4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2
$500 at 12% for 6 months (0.5 years) Find the interest
Answer:
Step-by-step explanation:
500(.12)(.5)= $30 interest
7t + 2 = t + 32
a. 12
b. -5
c. 5
d. -12
Answer:
c.5 is correct
Step-by-step explanation:
7t+2=t+32
shift similar terms on one side
7t-t=32-2
6t=30
t=30/6
t=5
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission
Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that [tex]p = 0.2[/tex]
Sold seven trucks:
This means that [tex]n = 7[/tex]
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]
[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]
[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]
0.148 = 14.8% probability that they will need to order at least one more new transmission
Simplify the expression\(\frac{2x^{-1}y}{x^3z}\) for \(x=2\), \(y=8\), and \(z=-1\).
2 x ⁻¹ y / (x ³ z) = 2 y / (x ⁴ z)
… = 2 × 8 / (2⁴ × (-1))
… = 16 / (-16)
… = -1
Step-by-step explanation:
2 x ⁻¹ y / (x ³ z) = 2 y / (x ⁴ z)
… = 2 × 8 / (2⁴ × (-1))
… = 16 / (-16)
… = -1
what is the ratio of 3 cans of blue paint to 9 cans
of yellow paint
Answer:
1 to 3
Step-by-step explanation:
3 blue: 9 yellow
Divide each side by 3
3/3 : 9/3
1 blue: 3 yellow
1 to 3
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
Please answer correctly math problemo
Answer:
2*3*4=24 (units)
l*w*h=V
brainliest plz
Step-by-step explanation:
Answer:
the answer is 24
Step-by-step explanation:
you do 3 times 4 and you get twelve and then you times it by 2
Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they different?
What is the theme of the poem "Queen of the Cats"?
Answer:
Isu has a cat named Bashet. This one of the many names of the goddess Bast, queen of cats. He has siamese-type traos; his body has a ply tan ned hair, while his legs, tail, face and ears are so dark brown. Brown gradually blends into the most plida color. The cat just a normal cat, but Isu treats it with special reverence
Step-by-step explanation:
A. x = 44 and y = 43
B. x = 43 and y = 44
C. x = y = 90
D. x = 89 and y = 91
Answer: correct answer choice is B
Step-by-step explanation:
did it on math nation
1) A basket contains six apples and five
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
The first piece of fruit is an apple and the
second piece is a peach.
A) Dependent B) Independent
HE
FEN
Step-by-step explanation:
are you sure that math cauz that looks difficult or maybe its the fact that I'm in the 4th grade
here u go! BWABWABWABWABWA
Answer:
- 100
Step-by-step explanation:
Take 10 from both sides
t/2 + 10 - 10 = -40 - 10 Combine like terms
t/2 = - 50 Multiply both sides by 2
2*t/2 = -50*2
t = - 100
Answer:
= (-90)
Step-by-step explanation:
-90/2+10=. -80/2
2 will go into -80 ,-40 times
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
POQ AND KLJ
They are the only alternate exterior angles
Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.
-12/5
-13/5
-5/12
Answer:
Step-by-step explanation:
Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.
-12/5
-13/5
-5/12
What is the sign of a . (b)? 4. 1 b 3 1
Answer:
no sign
Step-by-step explanation:
a is 0, b is negative
0×a=0
No sign
what is the area of the rectangular piece of wood?
Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
help please my brain took an oof today
Answer:
I am god at this.
Step-by-step explanation:
Zora saved of her paycheck and to that she added $40.40. If the total that went into her savings
was $185, what was the amount of Zora's paycheck?
What is the missing length?
10 km
2
area = 33 km
Write the quadratic equation in sandard form and then choose the value of "b."
(2x-1)(x+5)=0