The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults
A cube has a surface area of 54cm^2 Find the side length, x, of the cube
we know that the area of a cube is its side cubed
So, x^3 = 54(i think it should be 64)
x = 4 (if it is 64)
if it is 54 then we will take the cube root of 54
Answer:
3
Step-by-step explanation:
6a^2=54
a^2=54/6
a=root 9
a=3
Determine if these functions are even, odd, or neither
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
what is the answer? SIMPLE
Answer:
true i think
Step-by-step explanation:
PLEASE HELP MEEE!!!!
5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.
What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used.
Answer:
I would say Inductive reasoning.
Step-by-step explanation:
Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.
Hope this helps you out a bit.
Answer:
Deductive reasoning
Step-by-step explanation:
Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.
PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!
Answer: (a) identity
Step-by-step explanation:
Anything multiplied by 1 will be considered an equation that is identity property.
What is m% of n? Also what is m% of p% of n?
Answer:
mnp/10000
Step-by-step explanation:
Same reasoning as above, but 100*100 is 10000 so there you go
Write 6,070,000 in expanded form.
Answer:
6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0
bonus : word form: six million seventy thousand
Step-by-step explanation:
hope this helps! have a g'day
I need help with a quiz
A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?
Answer: the area of the base will be multiplied by 4, since it will be changed from LW to
(2L)(2W) = 4LW
So, apply that to finding the new volume.
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.
The height of the prism will be given as,
960 = 80 x H
H = 960 / 80
H = 12 units
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
More about the volume of the rectangular prism link is given below.
https://brainly.com/question/21334693
#SPJ2
What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
What multiplier would you use to decrease a value by 44%
Answer:
I think the answer is4k3+0 or 4
Please help!! I will give a good rating and brainliest if it let's me!!!!
Answer:
3/4 is the slope
Step-by-step explanation:
slope= mx+b
so,
(10,30) is an exact meet
so is (50,60)
so what is the rise/run
answer
30/40
or
3/4
so mx+b=
3/4x+22
full equation is 3/4x+22
F(t) = 200(0.95)^t
What is the rate of change?
Answer:
f(t)=-5%
Step-by-step explanation:
Answer:
the rate of change is 5%
Step-by-step explanation:
Given : Function
To find: What is the rate of change?
Solution :
The given function is an exponential function as it is in form
in which b is the factor of rate,
If b=1+r then r is the growth rate
If b=1-r then r is the decay rate.
We have given b=0.95
So, 0.95=1-r
r=1-0.95
r=0.05
i.e, It is a decay rate with 5%.
Therefore, The rate of change is 5%.
Directions on a box of 5 cups of wallpaper paste are to mix the contents with 4 qt of water. To mix a smaller batch using 1 cup of paste, how much water (in ounces) should be added? note that 1qt=32oz
Step-by-step explanation:
For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.
hope that help you
Three more than a positive number is twenty less than it’s square. What is the number ?
Answer:
the +ve no. = 2
Step-by-step explanation:
let the number be x - 3
three more than a positive number = x
acc. to condition
x^{2}x
2
- 20 = x
x^{2} - x - 20 = 0x
2
−x−20=0
x^{2} - 5x + 4x - 20 = 0x
2
−5x+4x−20=0
x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0
(x+4)(x-5) = 0(x+4)(x−5)=0
Case 1
x + 4 = 0x+4=0
x = -4x=−4
the Number cannot be negative because the condition given in question
Case 2
x - 5 = 0x−5=0
x = 5x=5
Hence, the positive number
= x - 3=x−3
= 5 - 3=5−3
= 2=2 hope i help you
Math Practices and Problem Solving
13. Algebra In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.
The store sold 482 cameras in the month of March.
An equation is an expression that shows the relationship between two or more variables and numbers.
Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.
Since the electronics store sold 1,446 cameras in the first 3 months, hence:
3x = 1446
x = 482 cameras
The store sold 482 cameras in the month of March.
Find out more on equation at: https://brainly.com/question/2972832
A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.
• -3.5
Answer:
Solution:
o -3.5
As number is negative so sign bit notation is 1.
o First convert 3.5 into binary Binary of 3.5 is 011.1
Mantissa field:
0111
radix in .0111 must be moved 3 bit to the right to obtain
011.1
So exponent is positive 3…
Final 8 bit floating point notation is
1
1
1
1
0
1
1
1
Step-by-step explanation:
-2(x+1)= -2+5
How you solve that?
[tex]-2(x+1) = -2+5\\\\\implies -2x -2 = 3\\\\\implies -2x = 3 +2 =5\\\\\implies x = - \dfrac 52[/tex]
Add the numbers, then add 2 to both sides of the equation. The solution would be x = - 5/2
Some government leaders propose allowing oil companies to drill in currently protected lands that may be rich in oil reserves. Environmental researchers argue that drilling in such lands would be harmful to the surrounding ecosystem. To measure support for drilling in such lands, an oil company representative uses random-digit telephone dialing to contact adults in the region and measure opinion for increased drilling. One question in the survey asks, "Given that an increase in drilling could result in increased tax revenue and additional jobs to the region, would you support a proposal to allow drilling in lands currently protected from drilling?" What type of bias could be most likely affecting the survey results? This is undercoverage bias because some segments of the population will be excluded from the sample. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling. This is voluntary res
The type of bias in this survey is question-wording bias because the question is influencing the response (option D).
Question-wording bias occurs when the words selected in the question influence a specific response. Here is one example:
Do you believe a cruel practice such as bullfighting should be forbidden?In this question, the use of the word cruel qualifies bullfighting as negative, and therefore in most cases, people will answer that bullfighting should be forbidden.
This effect occurs in the question for this survey because the section given that an increase in drilling could result in increased tax revenue and additional jobs to the region indirectly states drilling is positive and therefore influences the response of those surveyed.
Note: This question is incomplete because some of the options are missing; here are the complete options:
What type of bias could be most likely affecting the survey results?
A. This is undercoverage bias because some segments of the population will be excluded from the sample.
B. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling.
C. This is voluntary response bias because those most passionate about drilling will be more likely to register an opinion.
D. This is question-wording bias because the information given at the start of the question may lead those surveyed towards a desired response.
Learn more about bias in: https://brainly.com/question/6078134
can you guys help me plz
Answer:
1) x>1
2) x<6
3) x>34
4) x>-4
5) x<2
6) x>-36
7) x<=4
8) x>-2
9) x>=2
10) x>14
Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
29.455
Step-by-step explanation:
add the inches of fabric together and divide by the total number of players and coaches
The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?
The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.
What is sampling?Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.
Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.
According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.
Learn more about sampling in: https://brainly.com/question/350477
If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?
The three consecutive terms in an AP are (k+1) ,3k and (4k+2)
We know that
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
now ,
Let a = k+1 , b = 3k and c = 4k+2
⇛3k = (k+1+4k+2)/2
⇛3k = (5k+3)/2
⇛2×3k = 5k+3
⇛6k = 5k+3
⇛ 6k-5k = 3
⇛ k = 3
The value of k = 3
also read similar questions: if there consecutive terms of an AP are k+2 ,4k -6 and 3k-2 . What is the value of k....
https://brainly.com/question/23844186?referrer
the first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?...
https://brainly.com/question/17447469?referrer
What is the image of (−4,−7) after a reflection over the x-axis?
Answer:
go left for times and go down 7 .
Step-by-step explanation:
Answer:
(-4,7)
Step-by-step explanation:
I hope this helps :)
givien the function 6x+6y=5 rearrange the equation so that x is the independant varible
Answer:
so 6x = -6y + 5
divide by 6
x = 5
Step-by-step explanation:
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
1. Write an equation for a line that passes through the origin and is perpendicular to
y = 5x – 2.
Answer:
the equation will be 2y=5x
derivative for the function of t3+k/t=
Answer:
Step-by-step explanation:
I will ASSUME you want the derivative with respect to "t" of the equation
f(t) = t³ + kt⁻¹
f'(t) = 3t² - kt⁻² which can also be 3t² - k/t²
graph the relation y=2x
squared root of -100 =
Step-by-step explanation:
Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.
HELP FAST ANYONE OLEASE I HAVE LIKE 2 minutes too answer !!
Answer: c
Step-by-step explanation: I JUST ANSWERED BOTH PARTs