Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
give me brainliest.
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
We have four copies of '2' and one copy of '5' multiplied together
This is the same as saying 2^4*5
=========================================
Explanation:
Divide 80 over the smallest prime factor, which is 2
80/2 = 40
Divide that result over 2
40/2 = 20
Keep going until you cannot divide by 2 anymore
20/2 = 10
10/2 = 5
We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.
Therefore: 2*2*2*2*5 = 80
In shorthand, this condenses to 2^4*5 = 80
The factor tree is shown below. Other factor trees are possible.
HELP ME PLEASE I NEED HELP
75°, then determine the arc length of
Part B: If HY = 46 inches and mYX
YX
Answer:
[tex]\frac{115\pi }{6} \\or\\19.16666667\pi[/tex]
Step-by-step explanation:
Arc length is [tex]2\pi r*\frac{o}{360}[/tex]
r is 46 theta is 75
[tex]2(46)\pi *\frac{75}{360} \\92\pi *\frac{75}{360} \\\frac{6900\pi }{360} \\\frac{115\pi }{6} or 19.166666667\pi[/tex]
If 3x + 11 = 4x - 5, what is x?
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!
what is the theoretical probability of not landing on red
Pleasee helppppp
Answer:
Step-by-step explanation:
there are a total of 6 distinct choices. 4 of the six , are NOT red.
so 4/6 or 2/3
P(not red) = 2/3
Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Answer:
7) 123°
8) 38°
9) 68°
10) 65°
11) 113°
12) 52°
What’s the exact volume of the cone?
Answer:
3.......................
I need help with this
Answer:
is b
Step-by-step explanation:
porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2
HELP ME PLEASEEEEEEEEEE
Answer:
(-3,3) and (4,0) are inside the triangle.
The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
Help, will mark brainliest, and show work
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).
Thus, we can set up the following proportion:
[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]
Which expression uses the associative property to make it easier to evalute?
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
PLEASE HELP:(
In the book Cinder, What happened just after Prince Kai hired Cinder to fix his android?
The baker, Chang Sacha, showed symptoms of the plague and was taken away.
Adri sent her a comm telling her the apartment building was on fire.
A hover malfunctioned and crashed into Cinder's booth, destroying it.
She saw Pearl and her friends tormenting a young cyborg boy in the market.
Answer:
Adri sent her a comm telling her the apartment building was on fire.
Step-by-step explanation:
good luck
Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
A. x ≥ 12
B. x ≥ 11
C. x ≤ 10
D. x ≥ 10
Answer:
B x >= 11
Step-by-step explanation:
80 miles total, 14 miles already done => 80-14=66 miles left.
66 miles distributed evenly across 6 days means 66/6=11
ASAP pleaaase ASAP ASAP I’ll give a brainliest
A student had 10 marks in mathematics. But he remembers only 7 of them:
1,1,2,2,3,4,5. The mode of the marks is 3 and the mean is 2.9. What are the
missing marks? Once you manage to find these marks, create a frequency
table for the students' scores and visualize the results with a bar chart.
Answer:
The missing marks are 3, 3, and 5.
Step-by-step explanation:
Since the mode is 3, that means it's the number that occurs most often. The numbers 1 and 2 occur twice so there must be at least 3 3's on the list. But since the mean is 2.9, the third mark cannot be a 3 because it will make the mean only 2.7 so the 3rd mark can be either a 4 or a 5. Using 5 will make the mean 2.9. I take it that you know how to make a bar graph for this problem.
Determine which of the following ordered pairs satisfies the given system of equations.
{−2x+y=8y=2x5−8
Answer:
(-3,2)
Step-by-step explanation:
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
Find the value of 11C6
330
0
165
462
Answer:
462
Step-by-step explanation:
(11)C(6) = 11! ÷ 6! 5!
= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)
= 462
A marketing researcher must determine how many telephone numbers she needs to order from a sample provider to complete a survey of ATM users. The goal is to complete 400 interviews with ATM users. From past experience, she estimates that 70 percent of the phone numbers provided will be working phone numbers. The estimated incidence rate (percentage of people contacted who are ATM users) is 45 percent. Finally, she estimates from previous surveys that 37 percent of the people contacted will agree to complete the survey. How many telephone numbers should she order to complete the 400 interviews
Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
help me please. thank you!
The shape above is a trapezium, so we are going to use the formula for the area of a trapezium which is,
[tex]area = (\frac{a + b}{2} )h[/tex]
Plugging in our values,
[tex]area = ( \frac{2 + 8}{2} ) \times 3 = ( \frac{10}{2} ) \times 3 = 5 \times 3 = 15 {cm}^{2} [/tex]
So the area will be
[tex]15 {cm}^{2} [/tex]
A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answer:
b
Step-by-step explanation:
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answer:
you would make 400 each week
Step-by-step explanation:
Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the spill is first noticed, the circle has a radius of 60 meters. A response team arrives 70 minutes later, by which time the affected area has grown to a circle with a radius of 80 meters.
Required:
How rapidly was the radius of the spill changing between the time the spill was noticed and the arrival of the response team?
Answer:
0.5 ft per min
Step-by-step explanation:
in 80 minutes the radius expanded by 40%
we can set up a proportion of percent change over minutes:
.4/80 = r/1
cross-multiply to get:
80r = .4
r = .005 or 1/2 of a foot per minute.
Hope It Helps :)
The radius of the spill changing between the time of the spill was noticed and the arrival of the response team is 2/7.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the radian of the spill at time t be μ(t).
Since, radian increases at a constant rate, we have,
dμ/dt = k
r(t) = kt + c
At t = 0, r = 60 m
60 = k(0) + c
c = 60
At, t = 70, r(70) = 80 m
80 = k(70) + 60
20 = 70k
k = 20/70
k = 2/7
Then, r(t) = 2/7t + 60 and the rate of change of radian of the spill is 2/7 per min.
To know more about equation:
https://brainly.com/question/29657983
#SPJ5
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
what is the area of a rectangle in sqare inches
Answer:
Step-by-step explanation:
To find the area of a rectangle in square inches simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
write an equivalent expression in word form
3/8 x (1 - 1/3)
Answer:
I think it is 1/4x not sure but try it
4) Express 1697 in Roman figures:
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
1697 ➳ MDCXCVII
Answer:
MDCXCVII
Step-by-step explanation:
I don't really understand how to do this if you could help please help asap, thank you
Answer:
C
Step-by-step explanation:
Just use elimination strategy
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
line, d, is drawn inside the prism. Find the length of the diagonal, d. *
HELP!!!!
Answer:
C. 12.04 inches
Step-by-step explanation:
Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:
d² = x² + y² + z²
x = 10 in.
y = 6 in.
z = 3 in.
d² = 10² + 6² + 3²
d² = 100 + 36 + 9
d² = 145
d = √145
d = 12.0415946
d = 12.04 inches (nearest hundredth)
Decide which title best describes all of the expressions in each column of the table. Place the correct title at the top of each column.