Answer:
-252
Step-by-step explanation:
assuming that 313, 307, and 301 are the first 3 terms..
By these three numbers we can conclude that the rule is -6
(313 - x = 307, 313 - 307 = 6.. x = 6. To check this we do the same thing but with 307 and 301. 307 - x = 301, 307 - 301 = 6, 6 = x)
We find the 42nd term by multiplying our rule by the term number (42)
-6(42) = -252
Remember that a negative times a positive is a negative, but a negative times a negative is positive.
The 42nd term of an arithmetic sequence is 72.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given, the sequence is an arithmetic sequence.
a₁ = 313
a₃ = 301 so n= 3
Remember that,
aₙ= a₁ + (n-1)d
aₙ=a₁+(n−1)d
301 = 313 + (3 -1)d
301 = 313 + (2d)
301 - 313 = 2d
-12 = 2d
d = -6
So to find a₄₂:
Then, use the same formula for n = 42
a₄₂ = 313 + (42 - 1) (-6)
a₄₂ = 313 - 246
a₄₂ = 72
Therefore, 72 is the 42nd term of an arithmetic sequence.
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PLEASE PLEASE PLEASE HELP ME!!
Answer:
the answer to the question is D
Answer:
The answer is actually B
Step-by-step explanation:
the top layer is 5 x 5 x 2
the bottom layer is 5 x 2 x 10
5 x 5 = 25 and 25 x 2 = 50
5 x 2 = 10 and 10 x 10 = 100
100 + 50 = 150
ΔABC ο ΔQRS
Find the missing side length, m.
Answer:
m=5
Step-by-step explanation:
If the triangles are similar, the ratios of the side lengths are the same
AB AC
----- = -------
QR QS
6 3
---- = -----
10 m
Using cross products
6m = 3*10
6m = 30
Divide each side by 6
6m/6 = 30/6
m = 5
Write a recursive formula for the sequence 7, 4, 1, -2, -5, .... Then find the next term.
A. [tex]a_{n} = a_{n - 1} - 3[/tex], where [tex]a_{1} = -8[/tex]; 7
B. [tex]a_{n} = a_{n - 1} - 3[/tex], where [tex]a_{1} = 7[/tex]; -8
C. [tex]a_{n} = a_{n - 1} + 3[/tex], where [tex]a_{1} = -3[/tex]; 22
D. [tex]a_{n} = a_{n - 1} + 3[/tex], where [tex]a_{1} = 7[/tex]; -8
Answer:
option B
Explanation:
Recursive Formula: aₙ = aₙ₋₁ + d
Given Sequence: 7, 4, 1, -2, -5,....
Identify the common difference:
second term - first term
4 - 7 = -3 or 1 - 4 = -3 or -2 - 1 = -3
So formula:
[tex]\sf a_n = a_{n-1}-3[/tex], where [tex]\sf a_1 = 7[/tex]
Find next term:
[tex]\sf a_6 = a_{6-1}-3 = -5-3 = -8[/tex]
HELP FOR BRAINLIESTTT WITH THE RIGHT ANSWERRR
Causation and Correlation
Answer:
the answer is the 3rd option!
Answer
The answer is definitely 3 :)
find the total surface area of the following prism
5cm
6cm
8cm
4cm
Answer:
The total surface area of the given prism is 152 square centimeters.
Explanation:
I'm very brainly.
Answer: its 152 squared cm
Step-by-step explanation:
i just used a app to answer
Which of the following graphs represents the equation y = 2x + 2?
B
D
(1,6)
O
.(9.1
(0,2)
(0, 2)
(x (-1, 0))
• A. Graph A
• B. Graph B
• C. Graph C
D. Graph D
the answer is the litter B
Answer:
B.) Graph B
Step-by-step explanation:
You can determine which is the correct graph by verifying the points on the graphs with the equation. Remember, the leftmost number in the parentheses is the "x-value" and the rightmost number is the "y-value".
Graph B has the points (0,2) and (2,6) on the line.
y = 2(0) + 2
y = 2
y = 2(2) + 2
y = 4 + 2
y = 6
As you can see, when the "x-values" are plugged into the equation, the value generated matches the "y-value" of the point. Not all the points on the other graphs are accurate according to the equation. You can prove this to yourself by following the same method as above.
Which equation can be used to determine the value of x?
(3x + 18) = 93
All of these
(3x + 18) + 93 = 90
(3x + 18) + 93 = 180
None of these
Answer:
(3x + 18) + 93 = 180
23 + X
Step-by-step explanation:
(3x + 18) + 93 = 180, its supplymentery
180 - 93 = 87
87 - 18 = 69
3x = 69
69/3 = 23
23 = X
Answer:
Step-by-step explanation:
Remark
You have to assume nothing you should have to assume. You have to assume that 93 degrees on 3x + 18 sit on the same straight line. If it just looks that way, you are on shaky ground. You must be told. It's a good thing to keep in mind. Likely you'll get more questions like this. Just be aware you should not have to assume anything to make the problem work.
If the two angles both have one leg on what is marked as a straight line, then the sum of the two angles must = 180
Solution
The first one is not true. 3x + 18 is smaller than 90 degrees because 93 is more than 90 degrees. If A is true then the line is bent a bit.
B is not true. We just found one equation that doesn't work.
C is not true either. The result of trying to solve C will make x minus because 93>90 and 18 when subtracted makes 3x even more minus.
D is true
(3x + 18) + 93 = 180 Subtract 93 from both sides.
(3x + 18) + 93-93 = 180 - 93 Combine
(3x + 18) = 87 Remove the brackets
3x + 18 = 87 Subtract 18
3x+18-18 = 87-18
3x = 69 Divide by 3
3x/3 = 69/3
Answerx = 23
E is not true because D is true.
Find the area of the parking space shown to the right
-18ft and 9 1/4 ft-
Answer:
166 1/2 or 166.5
Step-by-step explanation:
The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.
Now, we have the equation A=18*9 1/4
So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5
With this, the area is equal to 166 1/2 or 166.5
Suppose you invest $7500 at an annual interest rate of 4.2% compounded continuously. How much will you have in the account after 2 years? Round the solution to the nearest dollar.
$17,373
$8158
$8157
$17,372
Answer:
$ 8157
Step-by-step explanation:
7500 e^.042(2) = 8157.22 ~ 8157
NEED HELP URGENTLY
Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|
picture below.
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I believe that's right
50 points
Use the table to identify values of p and q that can be used to facto
x2 + x - 12 as (x + p)(x + 4).
NEED HELP ASAP
Answer:
-3, 4
Explanation:
x² + x - 12
factorize
x² + 4x -3x - 12
take out common terms
x(x + 4) -3(x + 4)
collect into groups
(x-3)(x+4)
p = -3, q = 4
Answer:
C. -3 and 4
Step-by-step explanation:
In order to factor a quadratic equation in the form [tex]ax^2+bx+c[/tex]
we need to find a pair of numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
Therefore, in order to factor [tex]x^2+x-12[/tex] we need to find a pair of numbers that multiply to -12 and sum to 1.
The only pair of numbers in the table that sum to 1 are:
p = -3 and q = 4
Therefore, the solution is option C.
HELP PLEASE ILL MARK BRAINLIEST WHEN I CAN
Answer:
216 degrees
Step-by-step explanation:
To convert radian measure to a degree, substitute 180 degrees in for pi.
6(180)/5=216 degrees
Therefore, your answer is 216 degrees
Translate the triangle.
Then enter the new coordinates.
Answer:
B'(-1,6)
C'(2,6)
Step-by-step explanation:
You just have to change the x by -2 and the y by +4 because we know that (3,4) turned to (1,8)
Hope this helped!
Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
please help due soon
Answer:
$4742.10
Step-by-step explanation:
Exponential depreciation formula :-
, where y is the value of good after t years , r is rate of depreciation and A is the initial value.
Given : A= $20800 ; r=10.75%=0.1075
The equation models this situation:
Then, the value of car after t=13 years :-
Hence, the value of car after 13 years = $4742.10
Please help me with this
Step-by-step explanation:
imagine that point (-2, -5) on the coordinate grid.
in what quadrant is it ?
it is, where both x and y are negative : the bottom left (3rd) quadrant.
and this is the same quadrant for the circle and the placement of the angle of the point on the circumference to the x-axis (the basic diameter).
what signs do sine and cosine of angles in the third quadrant have ?
sine goes below the x-axis and is therefore negative.
cosine is to the left of the y-axis and is therefore negative.
that eliminates answer c (with positive sine and cosine values).
as tan(x) = sin(x)/cos(x)
and
cot(x) = cos(x)/sin(x)
both, tan and cot, must be positive (-/- = +).
that eliminates answers a and d.
but there is also a problem with the remaining answer b :
cot(x) = 1/tan(x), as the above definitions tell us.
but answer b says that they are both 5/2. and that cannot be.
so, there is no correct answer option.
therefore, let's calculate the real results, and then you need to find the right option in the original problem definition without typos.
the point again is (-2, -5). x = -2, y = -5.
the center of the circle is at the origin.
so, the radius of the circle is per Pythagoras
r = sqrt(x² + y²) = sqrt((-2)² + (-5)²) = sqrt(4 + 25) = sqrt(29)
sin(angle) = y/r = -5/sqrt(29) = -5×sqrt(29)/29
cos(angle) = x/r = -2/sqrt(29) = -2×sqrt(29)/29
tan = sin/cos = -5/sqrt(29) / -2/sqrt(29) = -5/-2 = 5/2
cot = cos/sin = -2/sqrt(29) / -5/sqrt(29) = -2/-5 = 2/5
csc(angle) = r/y = sqrt(29)/-5 = -sqrt(29)/5
sec(angle) = r/x = sqrt(29)/-2 = -sqrt(29)/2
again, except for the error in answer b about cot, it would all point to answer b.
divide (6x^3 + 26x^2 + 16x - 24) / (x + 3)
Answer:
2(x+2)(3x-2)
Step-by-step explanation:
Hope I helped you
As the guest was sneaking away, the groundskeeper was 4 feet (or 48 inches) away and pushed an 84-inch ladder onto the suspect. The very top of the ladder hit the guest on the top of the head. Find the height of the guest in inches the convert to feet.
The height of the guest in inches will be 68.93 and in feet is 5.7.
What is the Pythagorean theorem?It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
By applying the Pythagorean theorem:-
P² = H² - B²
P² = 84² - 48²
P² = 4725
P = √4725
P = 68.73 inches
Now the height in feet will be 68.73 / 12 = 5.7 feet.
Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.
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Evaluate 3 + (a + 4) (8
b) when a
5 and b = 6.
What is the value of the expression
Answer:2a/(3b−c)
substitute a=6 b=4 c=8
(2*6)/((3*4) -8)
12/(12 -8)
12/(4)
3
Choice B
2a+b−3 when a=5 b=2
2(5) +2-3
10+2-3
12-3
9
Choice B
8ab/2bc
rearrange to make the math easier
8/2 * a/c * b/b
4 * a/c *1
4 * 3/4
rearrange to make the math easier
4/4 *3
3
Step-by-step explanation:
Really tired and need help 100 points
Answer:
purple
Step-by-step explanation:
NEED HELP!! 10 POINTS
Answer:
x = 35,000
y = 30,000
Step-by-step explanation:
5x + 2y = 235,000
2x + 3y = 160,000
Have a nice day! :)
[70 POINTS!] What is the volume of the pyramid? Explain your reasoning.
Volume of cuboid=abc
Volume of prism :-
Area of base×Heightab ×cabcSame volume i.e 39 units²
If a,b,c=a,b,c
At Sam's Club, a case of 16 boxes of macaroni and cheese can be purchased for $24.00. Which equation could be used to describe this situation?
A. x+16=24
B. x-16= 24
C. x/16=24
D. 16x=24
Thanks
Answer:
D
Step-by-step explanation:
16 times the # of boxes = $24.
You can solve this equation by doing 24/16=$1.5 per box
Find the total amount
$1580 is compounded daily at a rate of 10% for 7 years. Let 1 year = 365 days.
Answer:
$3181.42
Step-by-step explanation:
The balance of an account earning compound interest is given by the formula ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r for t years, compounded n times per year.
__
You have P=1580, r=0.10, n=365, t=7, so the balance is ...
A = $1580(1 +0.10/365)^(365×7) ≈ $3181.42
_____
Additional comment
Your graphing calculator may have a financial function that will calculate this for you.
iris is a sales woman whose base pay plus commissions amounted to $69,464 last year. if her base pay was 39,710 and she made $78,300 in sales last year, what was her rate of commission?
Answer:
Iris is a saleswoman whose base pay plus commissions amounted to $69,464 last year. If her base pay was $39,710 and she made $78,300 in sales last year,
what was her rate of commission?
Commissions were $29,590 against sales of $78,300
Her rate of commission was 37.79%
Step-by-step explanation:
7. If VS = 12 meters, find the length of UT.
=
R
127°
V
S
ogmotor
antolles
W
loonsleder
U
T
The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.
What is the Length of an Arc?Length of arc = ∅/360 × 2πr
Given the following:
Radius = 1/2(VS) = 1/2(12) = 6 meters
∅ = 90 - (180 - 127) = 37°
Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters
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how many ml of curry powder are needed
Answer:
How many grams of curry powder are in 1 teaspoons? 2.13 grams of curry powder fit into one teaspoon. 2 teaspoons of curry = 4.26 grams of curry.
Hope this helps...
hehe i finished also what is 856 x 925? i'ma take a nap now
Answer:
791,800
Step-by-step explanation:
Answer: 791800
Step-by-step explanation:
Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Vertex = (3, 1)Axis of symmetry : x = 3Y-intercept : 10Zeros : no solutionsGEOMETRY
I'm working on a project and im not quite sure what bullet points 1 & 2 are asking. Help would be appreciated by telling me what I have to do.
Answer:
Its like how much you multiply the original shape by, to the new one.
For example, if your new shape is double the size of the original shape, then the scale factor is 2, because you would multiply the original by 2, to get the size of the new.
However, if your new shape is half the size, then the scale factor is 1/2, as you multiply the original by half to get the new shape.
Hope this cleared things up, lmk down below if you any further questions.
