Answer:
16
Step-by-step explanation:
16^2 = 256
E. the square root of 256 is 16
What are the next three terms in the given sequence?
3, 16, 29, 42,
A) 54, 66, 78
B)
55, 68,81
C) 1,2,3
D) 55,70,83
Answer:
B) 55, 68,81
Step-by-step explanation:
42-29=13
29-16= 13
So 42 + 13= 55
55+ 13= 68
68+ 13= 81
Answer:
B) 55, 68, 81
Step-by-step explanation:
Given sequence: 3, 16, 29, 42
To determine if the sequence is arithmetic or geometric, work out the difference in the terms.
[tex]\sf 3 \underset{+13}{\longrightarrow} 16 \underset{+13}{\longrightarrow} 29 \underset{+13}{\longrightarrow} 42[/tex]
This sequence adds 13 each time, so as the common difference is constant, it is an arithmetic sequence. To find the next term in the sequence, simply add 13 to the last term:
42 + 13 = 55
55 + 13 = 68
68 + 13 = 81
Therefore, the next three terms in the given sequence are 55, 68, 81
To solve this using the general form of an arithmetic sequence:
[tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 3d = 13[tex]\begin{aligned}\implies a_n & =3+(n-1)13\\ & = 3+13n-13\\ & = 13n-10\end{aligned}[/tex]
Therefore, the next 3 terms in the sequence are:
[tex]\implies a_5=13(5)-10=55[/tex]
[tex]\implies a_6=13(6)-10=68[/tex]
[tex]\implies a_7=13(7)-10=81[/tex]
Which inequality is graphed on the number line
Answer:
2nd option: 3a-11≤7
Step-by-step explanation:
Step 1: The inequality on the number line is:
[tex]a \leqslant 6[/tex]
Step 2: Take a look at the options. First we know that we want values of a which are less than 6 so we get rid of option 1 and 3.
Step 3: Since 6 is included in the inequality so we need to have a ≤ so 2nd option is correct.
QUICK NOTE: if we solve the inequality shown in the 2nd option we'll see it's gonna be a≤6
take a look:
[tex]3a - 11 \leqslant 7 \\ 3a \leqslant 18 \\ a \leqslant 6[/tex]
Internet Viewing A researcher wishes to estimate the average number of minutes per day a person spends on the Internet. How olo
large a sample must she select if she wishes to be 99% confident that the population mean is within 10 minutes of the sample
mean? Assume the population standard deviation is 38 minutes. Round your final answer up to the next whole number.
Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.
What is the margin of error for the z-distribution?It is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value.[tex]\sigma[/tex] is te population standard deviation.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
Additionally, we have that [tex]\sigma = 38, M = 10[/tex], hence we solve for n to find the minimum sample size needed.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 2.575\frac{38}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 38 \times 2.575[/tex]
[tex]\sqrt{n} = 3.8 \times 2.575[/tex]
[tex](\sqrt{n})^2 = (3.8 \times 2.575)^2[/tex]
n = 95.7
Rounding up, a sample of 96 people must be taken.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.
Answer:
The option u chose is the correct one
A Man borrowed Rs 500 for 3 years at the rate of 5% find his interest and amount
Answer:
Total amount = $575.00I = PRT/100 = $75.00Equation:Total amount = interest + principle
Step-by-step explanation:
Formula:- I = PRT/100
Where,
I is interestP is principleR is rateT is time⇒ I = 500×5×3/100
⇒ I = 7500/100
⇒ I = 75
Interest is $75.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 5% per year for 3 years is $575.00.
Start time 8:10 am end time 10:55 am elPSED TIME’
Answer:
14 hours, 45 minutes
Step-by-step explanation:
The time between 8:10:00 AM and 10:55:00 PM is,
14 hours, 45 minutes, and 0 seconds or 14.75 hours
Represent 56÷ 8 = 7 using subtraction. Explain your reasoning.
Answer:
56-8-8-8-8-8-8-8=0
Step-by-step explanation:
Probably just wants to show how many times you subtracted 8 until you got 0
Savannah's favorite candles are so popular that the price has been
increased. The price for a 24 oz. candle used to be $20, but now it is $28.
By what percentage has the price been marked up? *
Answer
70%
85%
48%
40%
Answer:
40%
Step-by-step explanation:
The increase was $8. Divide the increase by the original amount.
8/20 = .4
The decimal answer 0.4 converts to a percent answer of 40%. (.4×100=40)
The candle was marked up 40%.
Please help on math.
Answer:
Step-by-step explanation:
2hrs=70
so 4.5/2=2.25
2.25 times 70=$157.50
Apr 7, 2022 12:59pm
What is the volume?
19 m
18 m
9 m
Answer:
3078
Step-by-step explanation:
you didn't specify whats the length width and height
Can you answer both of them pls and do it as soon as possible I don’t have enough time
Answer:
green
Step-by-step explanation:
Green covers 1/4 of the circle space where the spinner can stop
The ElA predicts that the United States has 216 billion barrels of crude oil reserves left. If 4 billion barrels are extracted each year, and extraction grows by 0.5% per year, how long will the reserves last?
Anwer o.5
Step-by-step explanation:
because 0.5 x 1 = 0.5
1.1 Outline any FOUR non-price competition strategies that food outlets like Nandos, KFC, Chicken Licken and other businesses specialising in chicken, ensure their operational success in the monopolistic competitive firm.
The food outlets can use these four non-price competition strategies to ensure their operational success in the monopolistic competitive market are:
Physical and quality improvementsOutlet locationTaste differentiationConsumer advertising.What are non-price competition strategies?Non-price competition strategies are competitive approaches that can help food outlets to de-emphasize pricing as a competitive strategy.
Instead of pricing, the food outlets can improve the physical and quality aspects of their chicken brands, increase consumer advertising, trade promotions, product differentiation, and locate their outlets in niche markets.
Thus, physical and quality improvements, outlet location and trade promotions, differentiation, and advertising can become non-price competition strategies for these food outlets.
Learn more about non-price competition strategies at https://brainly.com/question/1580879
solve this :) i Will give brainly
Answer:
g = 3
Step-by-step explanation:
Let :
wrapped candy = wlollipop = lgreen candy = gThe equations are :
w + w + l = 23l + l + 2l = 36w x w + g x g = 58w + w - g x l = 2Finding l
Using Equation 2, solve for the value of l4l = 36l = 36/4l = 9Finding w
Using Equation 1, solve for the value of w2w + l = 232w + 9 = 232w = 14w = 14/2w = 7Finding g
Using either equation 3 or 4, we can find gLet's go with equation 3w² + g² = 5849 + g² = 58g² = 9g = 3I will give brainlisted for the correct answer. Due today!
que es una fracción decimal?
Answer:
Una fracción donde el denominador (el número de abajo) es una potencia de diez (como 10, 100, 1000, etc.). Puede escribir fracciones decimales con un punto decimal (y sin denominador), lo que facilita la realización de cálculos como la suma y la multiplicación de fracciones.
Step-by-step explanation:
espero que esto ayude
1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?
4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?
5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?
6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?
7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?
8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?
9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
What you need to do:
Please WRITE both equations for each problem, identify what your variables represent, and solve the system.
I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST if it gives me the option -
Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
Solution:Let the number of cows be "x" and the number of chickens be "y".
According to question,
x + y = 25 4x + 2y = 72 -->(ii)
=> 4(x + y) = 25 × 4
=> 4x + 4y = 100 -->(i)
By Elimination method,
Equation (i) - (ii)
(4x + 4y) - (4x + 2y) = 100 - 72
=> 4x + 4y - 4x - 2y = 28
=> 2y = 28
=> y = 28/2
=> y = 14
Putting the value of "y" in Equation (ii)
4x + 2y = 72
=> 4x + 2 × 14 = 72
=> 4x + 28 = 72
=> 4x = 72 - 28
=> 4x = 44
=> x = 44/4
=> x = 11
Therefore,Total number of cows = 11
Total number of chickens = 14
Note: In the second equation of this question I've taken 4 and 2.
The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.
And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.
======================================
Question no.10:Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
Solution:Let the number of cows be "x" and the number of chickens be "y".
According to question,
x + y = 28 4x + 2y = 96 -->(ii)
=> 4(x + y) = 28 × 4
=> 4x + 4y = 112 -->(i)
By Elimination method,
Equation (i) - (ii)
(4x + 4y) - (4x + 2y) = 112 - 96
=> 4x + 4y - 4x - 2y = 16
=> 2y = 16
=> y = 16/2
=> y = 8
Putting the value of "y" in Equation (ii)
4x + 2y = 96
=> 4x + 2 × 8 = 96
=> 4x + 16 = 96
=> 4x = 96 - 16
=> 4x = 80
=> x = 80/4
=> x = 20
Therefore,Total number of cows = 20
Total number of chickens = 8
Note: In the second equation of this question I've taken 4 and 2.
The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.
And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.
Hope it helpsCharlie takes a gymnastic class once a week. At each class, she buys a bottle of water for $0.75 and a protein bar for $2.50. Which of the following expressions represent the amount of money, in dollars, Charlie spends after attending 12 gymnastics classes? Select all that apply.
Answer:
$39
Step-by-step explanation:
[tex]12(.75 + 2.50) = 12(3.25) = 12(3) + 12(.25) = 36 + 3 = 39[/tex]
Please is for 30 points
Find the distance of CD and the coordinate of the midpoint of CD
Answer:
Explanation:
Formula to calculate the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore, length of CD having coordinates C(3,1) and D(3, 3),
[tex]CD=\sqrt{(3-3)^2+(1-3)^2}[/tex]
[tex]=2[/tex] [tex]units[/tex]
Formula to find the midpoint of CD is,
[tex]M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
[tex]=(\frac{3+3}{2},\frac{1+3}{2})[/tex]
[tex]=(3,2)[/tex]
Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.
Which function is the inverse of f(x)=-5x-4
multiplication of -5 and x
Please help with this question! Thank you :)
Answer:
D. 116
Step-by-step explanation:
[tex]V=(\frac{1}{3})\pi r^{2}h[/tex]
V = (1/3)π(4)²(6.9)
V = 36.8π
V ≈ 115.55
Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!
BRAINLIEST please if this helped!
These are similar figures. Solve for x
A medical team has found that the blood concentration of a particular medicine has a
decay rate of 40% in 24 hours. How much of an initial dose of 1,000 mg of the medicine
will be detected after 48 hours? Round to the nearest mg. Use the formula A=A0e^-kt. (the value of T is 48/24=2)
A. 360 mg
B. 449 mg
C. 600 mg
D. 920 mg
E. 200 mg
HELP MY SISTER NEEDS HELP IN MATH SHES SO STUCK
Answer:
J
Step-by-step explanation:
It’s the only one that makes 6Please help me with this math problem, (: brainly if correct
The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Function representing the cost to the manufacturer is,
C(x) = -20x²+ 48000x + 19351
A function that represents the revenue generated is,
R(x) = -23x² + 114000x
Function representing profit to the company,
Profit = Revenue generated - Cost price
= -23x² + 114000x - ( -20x²+ 48000x + 19351)
= -23x² + 20x² + 114000x - 48000x - 19351
P(x) = -3x² + 66000x - 19351
Since this function is a quadratic function, the maximum price generated would be x = -b/2a
From the given quadratic function, a = (-3), b = 66000 and c = -19351
x = - 66000/ 2(-3)
x = -66000/-6
x = 11000
x = 11000 the profit to the company will be maximum.
That means pear company should produce 11000 phones for the maximum profit.
Learn more about quadratic equations;
brainly.com/question/13197897
#SPJ!
what is an area of a trapezoid
Answer:
144
Step-by-step explanation:
Required area= Area of rectangle +2×(Area of Triangle)
=(10×8)+2×(1/2×8×8)
=80+64=144 in²
Answer:
144 in²
Step-by-step explanation:
To solve for the area of a trapezoid divided into a parallelogram (in this case a rectangle) and two triangles, you calculate the area of each part and add it together.
the area of a triangle = (base • height) / 2
the area of a parallelogram = (base • height)
so:
1. Calculate area of first triangle. 8 • 8 = 64, 64/2 is 32
2. Calculate the area of the second triangle. Since in this situation you have two equal triangles, you multiply the answer to the first part by 2 and get 64 in² again.
3. Calculate the area of the rectangle. 8 • 10 = 80 in²
4. Add the two numbers together. 80 + 64 = 144 in²
What’s the answer?????20 points!!!!
Answer:
i think 6,300
Step-by-step explanation:
Answer:
I believe the answer is c <3
Deposit $130 at 9.4% compounded daily for 2 years
Answer:
$ 155.59 after two years
Step-by-step explanation:
Future Value = 130 ( 1 + .094)^2
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
76 squared cm
Step-by-step explanation
the equation is (b+b*h/2) so u just take 7 plus 12 times 8 divided by 2 and you get 76