Answer:
52
Step-by-step explanation:
The general arithmetic sequence formula for this case is
a(n) = -4 + d(n - 1).
Thus, a(15) = -4 + 4(14) = 52
Answer:
The 15th term = 52
Step-by-step explanation:
a₁ = -4
d = 4
n = 15
a₁₅ = The value of the 15th term, (this is what we have to find out)
We know that formula of an arithmetic series is:
aₙ = a₁ + d(n - 1)
Now we can substitute the given values in:
a₁₅ = -4 + 4(15 - 1)
a₁₅ = -4 + 4(14)
a₁₅ = -4 + 56
a₁₅ = 52
So the 15th term = 52
Hope this helps!
A minor league baseball 112 games in a session. If the team won 16 more than 3 times as many games as they lost, how many wins and losses do they have
Answer:
Won = 88 gamesLost = 24 gamesStep-by-step explanation:
The number of games for the session is 112 so all the wins and losses should add up to 112.
Assume that the number of times they lost is x. The number of times they won would then be: 16 + 3x
Total expression is therefore:
16 + 3x + x = 112
16 + 4x = 112
4x = 112 - 16
x = 96/4
x = 24
They lost 24 games. Number of games won is:
= 112 - 24
= 88 games
Mikey has a bag that contains 8 green jelly beans, 7 red jelly beans and 2 yellow jelly beans. Which best describes the likelihood that Mikey will reach in without looking and select a yellow jelly bean?
A. Likely
B. Impossible
C. Certain
D. Unlikely
Answer:
unlikely
Step-by-step explanation:
what must be added to 5x²-3x+8to give 7x²-3x+10
Answer:
[tex]2x^{2} - 6x + 18[/tex]
Step-by-step explanation:
[tex]7x^{2} -3x+10[/tex] - [tex]5x^{2} -3x+8[/tex] = [tex]2x^{2} - 6x + 18[/tex]
Plz help me I’m really confused!
1:
E F and J K
2:
Point A to point B
question 3 to 5 i dont know the answer to
Answer:
I believe this is what you need
Two angles are supplementary. One angle is 45 degrees and the other angle measures (4x-5)
degrees. What is the value of x?
A. 35
B. 130
C. 32.5
D. 12.5
Step-by-step explanation:
suheshuehusehus7gesguehusehush7eg7s
The sum of three consecutive integers is 189 . What are the integers?
Answer:
So x+(x+2)+(x+4)=189. so the three numbers are 61, 63, 65.
I need help with this problem
Answer:
what she sells each t-shirt for.
Step-by-step explanation:
if f(x) is the profit and x=# of t-shirts,
the rate of change is 8, which is what she sells each t-shirt for.
The 100 that is subtracted, is the money that she spent on materials.
For eg, if she sells 8 t-shirts she makes $64, but she spent $100 before and didn't gain any profit, having not made up $36 from what her original spending was.
The length of a rectangular table is two times its width. If the perimeter of
the table is 2,000 ft, set up an equation to find the width (w) of the table.
1. 2000 = 2(2W + W)
2. 1000 = 2(3W+ W)
3. 2000 = 2(2wx W)
4. 2000 = 2(3wx w)
Answer:
1. 2000 = 2(2W + W)
Step-by-step explanation:
perimeter = 2(L + W)
L = 2W, so:
perimeter = 2(2W + W)
Answer plzz
2. What fraction of the students spent 7 hours doing homework that
week ? Express in simplest form.*
Hours Spent Doing Homework
Name a positive angle between 0 radians and 2π radians that is coterminal with an angle in standard position whose measure is −3π2 radians.
Answer:
The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].
Step-by-step explanation:
GIven that the measure of the known angle is [tex]-\frac{3\pi}{2}[/tex] radians and that such angle belongs to a set of angles in terms of revolutions (with a period of [tex]2\pi[/tex]) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:
[tex]\theta = -\frac{3\pi}{2}\pm (2\pi\cdot i)[/tex], for [tex]i \in \mathbb{N}_{O}[/tex] (1)
Where [tex]i[/tex] is the index of the coterminal angle.
According to the statement, we must name a positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians, which can be found by the sign [tex]+[/tex] and [tex]i = 1[/tex]. Hence, we find the required angle:
[tex]\theta = -\frac{3\pi}{2} + 2\pi[/tex]
[tex]\theta = \frac{\pi}{2}\,rad[/tex]
The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].
Which expression is equivalent to5(h+9)
Answer:
The answer would be 5h+45
Step-by-step explanation
5 (h+9)
You need to convert this equation into the equation
you multiply 5 by h and get 5h
Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45
Once you have 5h and 45 just put it together with the addition symbol which will will equal:
5 (h+9) = 5h + 45
Your Welcome! (hopefully this answers your question)
Determine the intercepts of the line
Answer:
If we look at the graph, we can see that the x-intercept is located at (4, 0) and the y-intercept is located at (0, 2.5)
Solve for x, rounding to the nearest hundredth.
98: 10
588
HELP YA SISTER OUT PLS!!!!
Answer:
98:100
588:600
Step-by-step explanatin
PLEASE HELP!!
30 points
Write the equation of a line in slope intercept form passing through the points (-5.-11) and (-2, 1)
Answer:
y=4x+9
Step-by-step explanation:
Answer:
https://socratic.org/questions/how-do-you-write-the-equation-in-slope-intercept-form-passing-through-7-11-5-1#579410
Step-by-step explanation:
theres the link to the answer
hi! please help i’ll give brainliest
Answer:
A, the keyword deciduous means wearing away and erosion means fading away. The two are common so therefore your answer is A.
Find the slope of the line through the given points.* (-13, 10), (10, -13)
===========================================
Work Shown:
Let's apply the slope formula to get...
m = (y2 - y1)/(x2 - x1)
m = (-13 - 10)/(10 - (-13))
m = (-13 - 10)/(10 + 13)
m = -23/23
m = -1
The slope is -1
-----------
Extra info:
The slope is the rate of change. Specifically it's the change in y over the change in x. So that's why we divide the (y2-y1) over the (x2-x1). The (y2-y1) is the change in y; the (x2-x1) is the change in x.
You can think of it as
slope = rise/run
rise = y2-y1 = change in y
run = x2-x1 = change in x
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(2,-1\right)[/tex]
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
1.) The price of gasoline went from $3.60 to $2.70 per gallon. What was the percentage decrease in the price of gasoline per gallon?
A.) 20% decrease
B.) 22.5% decrease
C.) 25% decrease
D.) 33.33% decrease
E.) None of these choices are correct.
Answer:
Choice C
Step-by-step explanation:
3.60 - (3.60/2.70) = 25%
If the bases of an isosceles trapezoid have lengths of 22 and 29, what is the
length of the median?
A. 25,5 units
B. 7 units
C. 51 units
D. 3,5 units
SUBMIT
ou find a clue wrapped around a Toblerone bar. The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm long. How many sq mm was the clue? (lateral surface area)
Answer:
54 cubic inches?
Step-by-step explanation:
The Surface area of bar is 7696 square mm.
What is Surface area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
We have,
The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm long.
So, Surface area of Triangular Prism
= ( 16 + 16 + 16) 155 + 16 x 16
= 7440 + 256
= 7696 square mm
Learn more about Surface area here:
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Applying fertilizer increases yield by 3 bushels an acre for corn. If you have 2304 acres, how much will your yield increase?
Answer:
6912 bushels
Step-by-step explanation:
The increase is 3 bushels per acre.
For 2304 acres, the increase is
2304 acres * 3 bushels/acre = 6912 bushels
Alisa is choosing new tile for the floor in her dining room which is in the shape of a square with side lengths x feet. The tile costs $3.39 per square foot.
a. Write the function f for the cost of the flooring.
b. Determine the cost of the flooring if she decides on a dining room with side lengths of 11 ft.
c. Determine the cost of the flooring if she decides on a dining room with side lengths of 23 ft
Answer:
A F = 3.39 per sq ft. B 37.29 C 77.97
Th function is f(x) = 3.39x²
The cost of the flooring for a dining room is $410.19.
The cost of the flooring for a dining room is $6,072.31.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Area of a square = side²
Square with side lengths = x feet.
The tile costs = $3.39 per square foot.
a.
The function f for the cost of the flooring.
f(x) = 3.39x²
b.
x = 11 feet
f(11) = 3.39 x 11²
f(11) = 3.39 x 121
f(11) = $410.19
c.
x = 23 feet
f(23) = 3.39 x 23²
f(23) = 3.39 x 529
f(23) = $6,072.31
Therefore,
f(x) = 3.39x²
The cost of the flooring for a dining room is $410.19.
The cost of the flooring for a dining room is $6,072.31.
Learn more about functions here:
https://brainly.com/question/28533782
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A certain computer loses half of itş value every two years.
If the value of the computer after 3 years is $425, what was the initial
value of the computer?
A. $601.04
B. $850.00
C. $1,202.08
D. $2,404.16
The initial value of the computer is 1,700.
What is the meaning of initial value?The initial value is the beginning output value.
We have given that the computer losses half of its value, and If the value of the computer after 3 years is 425,
we have to calculate, what was the initial value of the computer,
Suppose that the initial value of computer is x
So after two years it will be,
for the second year, it is X/2
for the third year, it is X/2
In the fourth year, it is X/4
we have given that after 3 years, the value of the computer is 425 Therefore we can write it as,
X/4=425
X=4(425)
X=1700
Therefore, the initial value of the computer is 1,700
To learn more about the initial value visit:
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find the equation of the line that passes through the points (-2,3) and (-1,7)
Answer: y=4x+11
y=mx+b
for the line that passes through the points
Gerry plans to place a 29 foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 3 feet from the house. How far up the side of the house will the ladder reach (in ft)?
Answer:
8[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):
a^2+b^2=c^2
we can find that 3=a and 29=c
3^2+b^2=29^2
9+b^2=841
b^2=832
b=[tex]\sqrt{832}[/tex]
b=[tex]\sqrt{64*13}[/tex]
b=8[tex]\sqrt{13}[/tex]
That is the height that the ladder will reach
What is the value of 3.45 + 2.6 + 32.007?
Answer:
38.057
Step-by-step explanation:
Please help and add explanation
Answer:
y=-3x+10
Step-by-step explanation:
Since you know that the equation of the line is perpendicular to 1/3, you have to find the inverse of 1/3. You swap the denominator and numerator and make the number negative. In this case, it will be -3. Now that you know the slope is -3, you can use the equation y-y1=m(x-x1) where m is the slope. We know that the point (2,4) is in the graph so we can plug it into the equation. y-4=m(x-2). We know that the slope is -3 so we can plug it into the equation. y-4=-3(x-2). Simplify this to get y-4=-3x+6. Simplify this to get y=-3x+10. This means that the answer is y=-3x+10.
If this has helped you please mark as brainliest
The density of a certain material is such that it weighs 2 grams per milliliter of
volume. Express this density in kilograms per pint. Round your answer to the nearest
hundredth.
Answer: 0.95
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Answer:
1.00
Step-by-step explanation:
1.00
Chad owes his mother $150. He plans to pay back $15 per week. Write an algebraic expression to show how much Chad still owes his mother based on the number of weeks.
Answer:
Step-by-step explanation:
150 - 15w
where w is the number of weeks he payed his mother the $15
Rewrite the function by completing the square.
f(x) = x² +6x+87
Answer:
( x + 3 ) ^2 + 78
Step-by-step explanation:
sorry no step by step explanation because i was in a rush bye have a good day :D