Answer: (assuming the first three terms are -6, -2, 2)
(a) f(n) = 4n - 10
(b) 30
Step-by-step explanation:
(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)
(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:
2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4
Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:
-6 - 4 = -10.
At this point, you can write the equation:
f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)
f(n) = 4n - 10 (reorganize by value of exponents)
(b) In order to find the 10th term, you just need to plug it into the previous equation:
where n = 10, and f(n) = 4n - 10,
f(n) = 4(10) - 10 (substitute n into the equation)
f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)
f(n) = 30 (subtract)
Write a ratio for the perimeter to the Area
Length=3 cm
Height= 10 cm
Answer:
3:10
Step-by-step explanation:
Find the volume of the solid
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?
Answer:
60 tiles left over
Step-by-step explanation:
the lobby needs 30 x 8 = 240 tiles.
she has 6 x 50 = 300 tiles
300 - 240 = 60 left over
The product of the third and the sixth terms of an arithmetic sequence is 406. The
ninth term of the sequence divided by the fourth term gives a quotient of 2 and a
remainder of 6. Find the first term and the common difference of the arithmetic
sequence
Answer:
The product of the third by the sixth term of an arithmetic progression is 406. The division of the ninth term of the progression by the fourth term gives a quotient 2 and a remainder 6. Find the first term and the difference of the progression.
If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.
Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)
Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.
Answer:
Since they have the same slope, they are parallel.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope. If two lines are parallel, they have the same slope.
4x−3y=6
Placing into the above format:
[tex]3y = 4x - 6[/tex]
[tex]y = \frac{4x - 6}{3}[/tex]
[tex]y = \frac{4x}{3} - 2[/tex]
The slope [tex]m = \frac{4}{3}[/tex]
y=4/3x−1
The slope is [tex]m = \frac{4}{3}[/tex]
Since they have the same slope, they are parallel.
Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.
Amy: “I multiplied 2.20 by 75 to find my answer.”
Braden: “I created a table with columns for 100%, 100%, 20%, and 220%. Then I filled in the table and added the values.”
Colton: “I created a table with columns for 100%, 10%, 10%, and 220%. Then I filled in the table and added the values.”
Danielle: “I divided 75 by 5 to find 20%. Then I added 75 twice to what I found to get my final answer.”
If all of the students completed their steps accurately, which student got the answer wrong?
Amy
Braden
Colton
Danielle
ok for the people who dont wanna do the link thing the answer is C : colton
HOPE THIS HELPS :))))) xx
Answer:
c, colton is wrong
Step-by-step explanation:
i got it right on edge 2020
What expression is equivalent to 4y?
Answer:
4xy=x or ?
Step-by-step explanation:
What is 1,650,000,000 in scientific notation?
Answer:
[tex]1.65*10^{2}[/tex]
Step-by-step explanation:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
For more details, prefer this link:
https://brainly.com/question/13703753
Help me answer the question
Answer:
cubic
Step-by-step explanation:
you can eliminate all of the other ones
Answer:
cubic
Step-by-step explanation:
quadratic = makes a parabola - U shaped
linear = makes a straight line
cubic = makes a shape just like the one in the picture
square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side
Question 1 Arecipe for a chicken and rice dinner calls for 3 cups of rice for every 2 pounds of chicken. Select the true statement at There are 3 cups of rice for every 5 pounds of chicken. C B The ratio of pounds of chicken to cups of rice is 2 to 3. С The ratio of cups of rice to pounds of chicken is 2:1. D The ratio of pounds of chicken to cups of rice is 3.2. nate Education, Inc.
Answer:
The ratio of pounds of chicken to cups of rice is 2 to 3.
Step-by-step explanation:
3 rice: 2 chicken
3:2 ratio
can be written either number first
There were 58 birds in a tree.B of the Birds flew away.Choose the expression that shows how many birds are in the pond now.
A. B + 58
B. 58 - b
C. b - 58
D. 58 + b
Answer:
B. 58 - b
Step-by-step explanation:
58 goes in the front, since that is how many birds were there at the start. If B birds flew away, then some are leaving which means the equation would be subtracting by B.
A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions.
State Num Sales
1 630 15.5
2 370 7.5
3 616 13.9
4 700 18.7
5 430 8.2
6 558 13.2
7 1200 23.0
8 2976 87.3
1. What is the equation of the regression line?
2. Interpret the slope in the context of the problem.
3. Find the coefficient of determination.
4. Interpret the meaning of R2 in the context of the problem.
5. State the hypotheses to test for the significance of the regression equation.
6. Is there a significant relationship between dependent and independent variables at alpha=0.05? Why?
7. Use a 95% prediction interval to predict the sales for a state with 100 shopping centers
Paste the table with the results of regression analysis.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Num shopping centers (X) :
630
370
616
700
430
558
1200
2976
Sales (Y) :
15.5
7.5
13.9
18.7
8.2
13.2
23.0
87.3
The regression equation obtained using the online regression calculator is :
y = 0.03025X - 4.87014
2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025
3.)
The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823
4.)
About 98% of variation in number of sales is explained by the regression line
5.)
Correlation Coefficient = 0.9911
H0 : p ≥ 0.99
H1 : p < 0.99
The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?
Answer:
112 adult and 288 children
Step-by-step explanation:
x= adult seats
y= children seats
15x + 10y = 4560
x + y = 400 --> y=400-x
so plug 400-x for y in the other equation
15x + 10(400-x)= 4560
now solve this equation
15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112
now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288
Explain why this equals that please!
Answer:
[tex]\frac{5^3s^3t^6}{s^4 x 50t}[/tex]
After that, all terms reduce as follows: the [tex]5^{2}[/tex] with the 25 in 50, the s at the numerator with the s in the denominator, and a t from the denominator with one unit from the exponent of t in the numerator.
Please help if not that’s fine no nonsense
Answer:
B) 54 and 54
Step-by-step explanation:
72 + x + x = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 54
Find the value of x.
65°
127°
35°
to
13. Find the measure of arc JK.
J
I
K
70°
L
9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
semanalmente, ¿cuántas semanas le tomó a Zuleyka pagar la cantidad completa de la
bicicleta? *
(1 Point)
OA.
5
B В
9
C
11
D
16
Answer:
h s m s dhoni bold sin men farhan akhtar ne
Please help me with this :)
[tex]hope \: it \: helps[/tex]
Solve the system using any method: y = 3x + 4 6x2y=8
Answer:
y=24,x=20/3
[tex]y = 3x + 4[/tex]
[tex]8 = 6 \times 2y[/tex]
[tex] 2y = 8 \times 6 [/tex]
[tex]y = 24[/tex]
[tex]24 = 3x + 4[/tex]
[tex] - 3x = 4 - 24[/tex]
[tex] x = \frac{20}{3} [/tex]
An artist can paint
23,760 square feet in
12 hour. How many
square feet can they
paint in 2 hours?
also i need to justify my answer so give me the steps and what to rught
Answer:
23,760/12=1980
1980x2=3960
Need help on this question
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
Question 6 (5 points)
Which of the following statements is true for 6.24?
O A) It's irrational because 6.24 =
68/33
OB) It's irrational because 6.24 =
= 60/25.
OC) It's rational because 6.24 = 68/33.
OD) It's rational because 6.24 =
66/25.
Answer:
C
Step-by-step explanation:
it's rational because 6.24 can be 68/33
sorry if I'm wrong!!
WILL GIVE BRAINLIEST
The two lines graphed on the coordinate grid each represent an equation. (-2, 6) (3,5) (-6, 2) (-6, -6) Which ordered pair represents a solution to both equations?
Answer:
(-3,3)
Step-by-step explanation:
because it's where the graphs intersect, meaning the point is contained in both solutions
Help me please!!!! I’ll give you brainliest!! :)
Answer:
399
Step-by-step explanation:
28.5 × 3.5 × 4
evaluuate 9-b when b=8
Answer:
[tex]\huge\boxed{\sf 1}[/tex]
Step-by-step explanation:
Given the expression:
= 9 - b
Given that b = 8
= 9 - 8
= 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Okay so we are asked to solve 9 - b, and we are told that b=8
Therefore this is just a matter of substitution:
9 - b
Substitute 8 for b:
9 - 8
Now just finish solving:
1
Therefore, the answer is 1
Hope this helped :)
I am having a baby day so if you write something wrong I’m reporting you
Answer:
804.25 or based on the choices 803.8
Step-by-step explanation:
Answer:
804.25
Step-by-step explanation:
so the closest thing to that is 803.8