Answers
Step-by-step explanation:
(x - 11)² = 72x - 11 = ± √72x = 11 ± √72The exact solutions are: x = 11 + √72 and x = 11 - √72
The approximate solutions are: x = 19.49 and x = 2.51
[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]
[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]
[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]
[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]
[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]
[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]
Related Questions
The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?
Answers
sole the inequality x-8>-4
Answers
Answer:
[tex]x>4[/tex]
Based on this, we know the correct number line will be an empty bubble with a line going to the right of 4.
Step-by-step explanation:
[tex]x-8>-4[/tex]
add 8 to both sides of the inequality
[tex]x>4[/tex]
what is the length of DE
Answers
Answer:
Step-by-step explanation:1
Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?
Answers
Answer: 50%
Step-by-step explanation:
If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps
Please help if you can!
Answers
Answer:
(0 ; -3)
Step-by-step explanation:
The y-intercept is where the line touches the y axis meaning that x is 0.
Answer:
-3 by the looks of it.
Step-by-step explanation:
The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.
How to do question 1 ?
Answers
Step-by-step explanation:
srry
Answer:
A
Step-by-step explanation:
I DID THE WORK IN MY HEAD
btw im 11
A car can go 420 miles on a tank of gas (15 gallons in a tank). How many kilometers can this car go on 6.5 gallons
Answers
Answer:
182 miles
Step-by-step explanation:
15 gallons ------------------------- 420 miles
1 gallons --------------------------- 420/15 miles
1 gallons --------------------------- 28 miles
6.5 gallons -------------------------- 6.5 × 28 miles
6.5 gallons -------------------------- 182 miles
The car can go 182 miles on 6.5 gallons.
It is given that the a car can go 420 miles on a tank of gas of 15 gallons in a tank.
It is required to find the how many kilometers can this car go on 6.5 gallons.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
We have a car can go 420 miles on 15 gallons gas.
A car can go on 1 gallon = [tex]\frac{420}{15}[/tex] = 28 miles ie.
A car can go on 1 gallon = 28 miles
On 6.5 gallons car can go = 6.5×28
= 182 miles
Thus, the car can go 182 miles on 6.5 gallons.
Learn more about the fraction here:
brainly.com/question/1301963
which number line and expression show how to find the distance from 2 to - 5?
Answers
Answer:
A is the answer.
Step-by-step explanation:
Look at the graph of graph A. It has given the correct distance between 2 and -5.
Hoped this helped.
Answer:
B.
Step-by-step explanation:
Write an equation of a line with an x-coefficient of - 3 and a y-intercept of 7
Answers
Answer:
y = -3x + 7
Step-by-step explanation:
For an equation in the format y = ax + b, a is the coefficient of x, and b is the y intercept.
Hi guys mind helping me with this
Answers
Answer:
i actually have the same question
Step-by-step explanation:
Answer:
the bearing is 290°
Step-by-step explanation:
firstly complete those compass directions (just to make it easier for you). find the remaining angle on A which is 110°. subtract 90° from it and get 20°. using the concept of alternating angles. then add from the North to where the line connecting B n A is, 270°+20°=290°
Two air ducts together remove 525 cubic feet of air per minute. The larger duct removes 45 cubic feet of air less than twice the amount of air removed by the smaller duct. How many cubic feet of air per minute are removed by each duct?
Answers
Answer:
I don't know
Step-by-step explanation:
The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.
What is a linear function?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Let's assume that the smaller duct removes 'x' cubic feet of air per minute.
So, The larger duct removes (2x - 45) cubic feet of air per minute.
∴ x + (2x - 45) = 525.
3x = 525 + 45.
3x = 570.
x = 190.
So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.
learn more about linear equations here :
https://brainly.com/question/11897796
#SPJ2
Solve |x – 4| + 6 = 17.
A. x = 15 and x = -7
B. x = 15 and x = -15
C. x =-15 and x = -7
D. x = -15 and x = 7
Answers
Answer:
A
Step-by-step explanation:
15 and -7
|x-4|=17-6
|x-4|=11
x-4=11
x-4=-11
x=11+4
x=15
x=-11+4
x=-7
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h. Which equation can be used to find the high temperature for that day? o 56 = h – 14 Oh + 56 = 14 O 56 = 14h 0 56 = h + 14 WHOEVER ANSWER GETS BRAINLESS NEED HELP
Answers
Answer: 1.09
Step-by-step explanation:
Evaluate the expression -2
Answers
Answer: 2x for x=3: 2(3) = 6.
Step-by-step explanation:
1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6
Answers
Answer:
I don't understand clear ur question
List all the factors pairs in the table 64
Answers
(1, 64), (2, 32), (4, 16), (8, 8).
Answer:
1 x 64
2 x 32
4 x 16
8 x 8
Step-by-step explanation:
Factors of 64: 1, 2, 4, 8, 16, 32 and 64.
Pairs:
1 x 64
2 x 32
4 x 16
8 x 8
Hope this helps :)
Which graph shows all natural numbers less than 3?
Answers
Answer:
graph A shows all natural numbers less than 3
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
-6/5 - (-3/8)
Help please
Answers
Answer:
-0.825
Step-by-step explanation:
Did not know the options so do not know if this is right or not.
Here is ur answer.
- BRAINLIEST answerer
Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4
The solution is ____ (Type an exact answer in simplified form.)
Answers
Answer:
(x, y, z) = (2, -4, 3)
Step-by-step explanation:
It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].
__
If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.
r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement
r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement
r1 ← r1 -2·r2 +5·r3
__
r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.
_____
Additional comment
Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.
A bag of sugar weighs 6²/⁵. What is the weight of 6¹/⁴ of such bag?
How many two thirds are there in 4¹/³?
Answers
Answer:
6 and a half 2 thirds are in 4 1/3
Step-by-step explanation:
2/3x=13/3
2x=13
x=6.5
If
x
=
4
and
y
=
6
, evaluate the following expression:
2
(
x
+
y
)
Answers
[tex]x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20[/tex]
Identify the set of perpendicular lines in this image.
A) AB, CD
B) CD, EF
C) AB, EF
D) AB, FE
Answers
Answer:
AB, CD
Step-by-step explanation:
there is ⊥ 90° angle sign between them AB and CD.
They are perpendicular
An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?
Answers
Answer:
10 times for each number
Step-by-step explanation:
:)
Answer:
10
Step-by-step explanation:
if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.
A set of house plans is made in the ratio 30:1. if a room is 6m long,how long is this room on the plan
Answers
Answer:
0.2
Step-by-step explanation:
30: 1
6:?
cross multiply
(6*1)/30
ans:0.2cm
plz answer this with complete process plzzz I will give you brainlist ..........
Answers
Answer:
Step-by-step explanation:
Needs a picture to be solved, please put one.
Answer:
i know
Step-by-step explanation:
I know have a amazing day
At a coffee shop, a latte costs $5.50 and
hot tea costs $1.75. Each day, Parker
buys 2 hot teas and several lattes for
his office staff. Which equation can be
used to find y, Parker's total cost, if x
represents the number of lattes? (7.1A,
7.1B, 7.1D, 7.1F)
A y = 5.50x + 3.50
BY 5.50x + 1.75
C y = 1.75x + 5.50
Dy = 3.50x + 5.50
Answers
Answer:
A) y = 5.50x + 3.50
Step-by-step explanation:
2 x 1.75 = 3.50 + x number of lattes $5.50 each.
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
(x-1) (x-4) is the answer
The owner of Get-A-Away Travel has recently surveyed a random sample of 496 customers to test the mean age of the agency's customers is over 24 . The appropriate hypotheses are H0: μ ⤠24, Ha: μ > 24 If he concludes the mean age is over 24 when it is not over 24, he makes a _error.
Answers
Using error concepts for hypothesis tests, it is found that there is a Type I error.
A Type I error happens when a true null hypothesis is rejected.
A Type II error happens when a false null hypothesis is not-rejected.
In this problem, the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
The alternative hypothesis is:
[tex]H_1: \mu > 24[/tex]
He concludes that the mean age is over 24 when it is not, that is, a true null hypothesis is rejected, hence there is a Type I error.
A similar problem is given at https://brainly.com/question/25225353
25 points! Help (Vectors)
Answers
Answer:
[tex]7\cos(30^{\circ})[/tex]
Step-by-step explanation:
Latonya swims 50 meters in 1/2 minute, what is the slope ?
Answers
Answer:
This slope means for every 1 minute Latonya swims 100 meters.
Step-by-step explanation: