Answer:
The nth term is [tex]a_n = 4 - 5(n-1)[/tex]
The 60th term of the sequence is -291.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
The nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
4,-1,-6
The common difference is:
[tex]d = -1 - 4 = -5[/tex]
First term [tex]a_1 = 4[/tex]
So
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = 4 - 5(n-1)[/tex]
60th term:
[tex]a_{60}[/tex]. Si
[tex]a_{60} = 4 - 5(60-1) = -291[/tex]
The 60th term of the sequence is -291.
Ian needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 593 spoons. There are currently 161 spoons. If each set on
sale contains 6 spoons, write and solve an inequality which can be used to determine
X, the number of sets of spoons Ian could buy for the restaurant to have enough
spoons
Answer:
72 sets
Step-by-step explanation:
(Easy way)
593 -161=432 spoons needed
432/6 =72 sets
(Harder way)
6= 1
432 =x
432 = 6x
x=72
Answer:
Inequality: 6x + 161 ≥ 593
Answer: x ≥ 72
Step-by-step explanation:
Have a good day :)
What are the next 4 multiples of 4/8 in a fraction
Answer:
8/16, 12/24, 16/32, and 20/45
Step-by-step explanation:
I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY!What is the shape of the distribution shown below?
Choose 1 answer:
(Choice A)
The distribution is left-tailed.
(Choice B)
The distribution is approximately symmetrical.
(Choice C)
The distribution is right-tailed.
Answer:
pretty sure it's B!
Step-by-step explanation:
B the distribution is approximately symmetrical
Type the correct answer in the box.
2 units
2 units
2 units
8 units
2 units
2 units
2
2 units
6 units
The area of the figure is
square units.
Find the surface area of the rectangular prism (above) using its net (below).
Correct answer will receive a cookie and branilist
Answer:
62
Step-by-step explanation:
15+15+10+10+6+6= 62
please answer asap! no scam links or scam comments or reported.
Answer:
C
Step-by-step explanation:
Answer:
B. The longer a skydiver is in freefall, the more feet they fall per second
Step-by-step explanation:
A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?
Answer:
X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.
Step-by-step explanation:
Hope this helps
Answer:
0.9728
Step-by-step explanation:
We have 2 options for the system to fail - no components work, or only one works.
The probability that no components work is:
[tex]0.2^4 = 0.0016[/tex]
The probability that one SPECIFIC component works and the others failed is:
[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]
And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:
[tex]4 \cdot 0.0064 = 0.0256[/tex]
So we sum the probabilities:
[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]
Find x in each triangle! Will award brainliest
Answer:
First triangle x=9
Second triangle x=20
Step-by-step explanation:
Using Pythagorean theorem
40^2+x=41^2
1600+x^2=1681
-1600 -1600
x^2=81
To find x we do the opposite of powers and find the squared
x=9
Second triangle
21^2+x^2=29^2
441+x^2=841
-441 -441
x^2=400
x=20
Which is the equation of a line perpendiculat to the line with the equation 3x + 4y = 7?
Answer:
What do you need to know?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Answer:
The answer you clicked is correct.
Step-by-step explanation:
1 teacher = 25 scholars.
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?
help what's the correct answer and how did u get it
Answer:
9490.
Step-by-step explanation:
First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.
Hope this helps!
A rectangle measures 2 1/2 meters by 1 3/4 meters. What is its area?
Answer:
4 3/8
Step-by-step explanation:
1. We can use the formula
Area = L (length) x W (width)
2. The area is unknown so we can substitute it for a
The length and width are both known, so we can plug them in.
a= 2 1/2 x 1 3/4
3. Solve by multiplying
a=4 3/8
Area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
What is rectangle?Rectangle is a quadrilateral with four right angles
Area of the rectangle = Length × Width
Length of the rectangle = [tex]2\frac{1}{2} =\frac{5}{2}[/tex]
Width of the rectangle = [tex]1\frac{3}{4}=\frac{7}{4}[/tex]
Area of the rectangle = [tex](\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}[/tex] meter square
Hence, the area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square
Learn more about Area and rectangle here
https://brainly.com/question/9655204
#SPJ2
A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?
Answer:
1/10 gallon
Step-by-step explanation:
2/5 left of 1/4 gallon
2/5 x 1/4 = 2/20 = 1/10 gallon
Find the value of x. Round to the nearest degree
Answer:
b. 44°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 21
Adjacent = 15
Apply trigonometric function CAH:
[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]
[tex] Cos(x) = \frac{15}{21} [/tex]
[tex] x = cos^{-1}(\frac{15}{21}) [/tex]
x = 44.4153086° ≈ 44° (nearest degree)
In this combined function, the domain is all real numbers for x except? (x+6) / (x-9)
-6
6
9
-9
Pls help with this asap
Write the equation of the line in SLOPE- INTERCEPT form:
1. (4, 2); slope 3
2. (3, -1); slope 4
3. (-4,-2), (4,0)
Answer:
Step-by-step explanation:
1) slope = m = 3
(4 , 2) ; x₁ = 4 ; y₁ = 2
y - y₁ = m(x - x₁)
y - 2 = 3(x - 4)
y - 2 = 3x - 4*3
y - 2 = 3x - 12
y = 3x - 12 + 2
y = 3x - 10 {Slope -intercept form: y = mx + b}
3) (-4 , -2) , (4 , 0)
We have to find the slope
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]
m = 1/4 ; (4 , 0)
y - y₁ = m(x - x₁)
[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]
In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic in this process and known to follow a normal distribution. Two different etching solutions have been compared, using two random samples of 10 wafers for each solution. Assume the variances are equal. The etch rates are as follows (in mils per minute):
Solution 1 Solution 2
9.9 10.6 10.5 10.2
9.4 10.3 10.6 10.2
9.3 10.0 10.7 10.7
9.6 10.3 10.4 10.4
10.2 10.1 10.5 10.3
Required:
a. Construct normal probability plots for the two samples. Do these plots provide support for the assumptions of normality and equal variances? Write a practical interpretation for these plots.
b. Do the data support the claim that the mean etch rate is the same for both solutions? In reaching your conclusions, use α = 0.05 and assume that both population variances are equal. Calculate a P-value.
c. Find a 95% confidence interval on the difference in mean etch rates
im really smart (no im not thats why im here)
Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest
Answer:
See below
Step-by-step explanation:
Graphing:we are given two functions
[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]
where f(x) is a linear function and g(x) is a quadratic function
we want to figure out the solutions of the function
let's graph f(x):
the Black-table is attached
let's graph g(x):
the picture is attached
hence, the graph should be
the graph is attached
solutions stating:so we need solution(s) which satisfy(ies) the both functions
in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)
hence,
x={-1,3}
evaluate 13+ 6/y when y=6
Answer:
14
Step-by-step explanation:
13+6/6=13+1=14
Answer:
14
Step-by-step explanation:
13+6/6=13+1=14
14 is the answer
Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.
Answer: sorry don't know but uhh its 5
Step-by-step explanation:
I need help I’ll mark brainy
Answer:
14.75
Step-by-step explanation:
12.50*0.18 = 2.25
12.50 + 2.25 = 14.75
A store sells 8 cans of for $22. How much would it cost you to buy 3 cans of fruit cocktail? ?
the answer is 8.25 or 8 1/4
you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75
now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.
this would give you 8.25 which is your answer
if this was useful please mark brainliest! （>∀<）
Answer:
3 cans of fruit cocktail would cost $8.25
Step-by-step explanation:
[tex] \frac{22}{8} = 2.75[/tex]
2.75*3=8.25
PLS HELP TIMEDDDDDD I NEED HELP
Answer:
Option 3: 81 pi cu. in
Step-by-step explanation:
4. Which set of ordered pairs represents a function?
(1) {(0,4), (2,4),(2,5)}
(2){(6,0), (5,0),(4,0)}
(3) {(4,1),(6,2), (6,3), (5,0)}
(4) {(0,4),(1,4), (0,5),(1,5)}
Answer: (2) {(6,0), (5,0),(4,0)}
It is a function, where each value is associated with exactly one output.
Step-by-step explanation:
A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.
(1) {(0,4), (2,4),(2,5)}
here 2 is associated with 2 different values of second component.
Thus it is not a function.
(2) {(6,0), (5,0),(4,0)}
It is a function, where each value is associated with exactly one output.
(3) {(4,1),(6,2), (6,3), (5,0)}
It is not a function as 6 is associated with 2 different values of second component.
(4) {(0,4),(1,4), (0,5),(1,5)}
It is not a function as 0 and 1 are associated with 2 different values of second component.
which is the largest interval over which the function shown in the table is increasing?
x y=-- x2 ?
-4
-8
-
-2
-2
(x, y)
(-4,-8)
(-2,-2)
(0,0)
(2.-2)
(4.-8)
0
NO
-2
4
-8
O
A. x < -2
O B. x<0
C. X>0
D. X> 2
Answer:
x < 0
Step-by-step explanation:
If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0). So, the graph is increasing from -∞ to 0.
The perimeter of the base of a right square pyramid is 32 cm. The height of the pyramid is 8 cm. What is the volume of the pyramid?
Brendon is a ticketing clerk at a zoo. Which of the following is a statistical question that Brendon can be asked?
A. What is the price of the entry ticket for adults?
B. How many children visited the zoo last Sunday?
C. How many adults visited the zoo on Sundays?
D. What time does the zoo open?
Answer:
Letter A
Step-by-step explanation:
He is the ticket clerk so it makes sense people would ask about the ticket prices.
A triangle with a base of 16 inch has an area of 104 inch quad what is the height of the triangle
the hight of the triangle is 13 inches
I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!
Answer:
D
Step-by-step explanation:
1/2 * 3/4 equals 0.375 which is less than .5
.5= 1/2
so therefore, im right i guess.