The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.
The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help
Answer:
C
Step-by-step explanation:
x=8
(8+40)= 48
2³=2×2×2=8
48:8=6
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant II or Quadrant IV
Quadrant I or Quadrant II
Quadrant III or Quadrant IV
Quadrant I or Quadrant IV
Answer:
The best and most correct answer among the choices provided by your question is the fourth choice or letter D.
Nonzero abscissa, negative ordinate is located in Quadrant III or Quadrant IV.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
Sales tax rate is 8% if Ayana buys a set of spoons price that 17.88 what will be the total cost including tax
Extra:
Percentage = 1% = 0.01, 10% = 0.1 and 100% = 1
Increase in percentage = 1 + percentage eg. (1 + 0.08 = 1.08)
Decrease in percentage = 1 - percentage eg. (1 - 0.08
What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.
To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE
The z-score with a confidence level of 95% is 1.96Reasons:
The margin of error, MOE, is required when finding a sample mean of a
statistic, which specifies the range within which the true mean is located;
The margin of error is given by the formula;
[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]
Where:
σ = The standard deviation of the population
n = The sample size
[tex]z^*[/tex] = The z-value based on the applied confidence level.
Using the associated standard normal distribution table, by finding the
area between the z-score and the negative z-score, we have that 95% will
be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%
Therefore;
The z-score at 95% = 1.96
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Solve each question with the quadratic formula
6a² + 10 = 0
I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)
Answer:
[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
Step-by-step explanation:
[tex]\sf 6a^2 + 10 = 0[/tex]
We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]
[tex]\sf 6a^2 + 10 = 0[/tex]
Substitute 6: a, 0: b, 10: c
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]
→ Square 0
→ Multiply -4 * 6= -24
→ Multiply -24 * 10 = -240
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]
→ Take the square root of -240:
→ Multiply 2 * 6= 12
Now, Separate solutions:
[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]
Now, Separate solutions:
First, solve the equation when ± is plus:
[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
___
Now, solve it when ± is minus:
[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
__________________________________________
[tex]\sf\longmapsto 6a^2+10=0[/tex]
a=6b=0c=10[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)
[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]
[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]
[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]
What is i?i stands for iota.
[tex]\sf\longmapsto i=\sqrt{-1}[/tex]
Miko wants to build a toy
box for her sister. It is to be 2 feet high,
and the width is to be 3 feet less than its
length. If it needs to hold a volume of
80 cubic feet, find the length and width
of the box.
Answer:
kk
Step-by-step explanation:
Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:
2 + 0.25x
What does the constant term of the expression represent? (1 point)
The late fee for the book
The fixed rental for the book
The number of books borrowed
The number of days the book was overdue
Answer:
it's "2+6556_789*4236+8765/987"
Step-by-step explanation:
2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer
Answer:
parallel
Step-by-step explanation:
Answer:intersect
Step-by-step explanation:
Pls answer all 4 questions AND HURRY!!!!
Answer:
5pts
Step-by-step explanation:
Find the slope of the line shown below.
Hello! :)
The slope of this line is 0.
Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.
Here, we move 0 units up, so the rise is 0.
No matter what the run is, the slope is 0 anyway.
Hope it helps you!
If you have any questions, feel free to ask! (:
~An excited gal
[tex]SparklingFlower :)[/tex]
Answer:
its 0 sowe
Step-by-step explanation:
Foster is centering a photo that is 9 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number. / pls help quick
Answer:
should be 1/4 inches away from each side
Step-by-step explanation:
all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.
since it needs to be centered, divide that by two for each side.
and 1/2 ÷ 2 = 1/4
so I got 1/4 inches on each side.
3w-4z=8
2w+3z= -6
What is w and z for these two equations?
When can you write ratios as fractions?
Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring
Answer:
The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.
Answer:
1400 pounds
Step-by-step explanation:
the ring is now worth 60% of its original price
the percentage in decimal is equal: 60% = 0.6
[tex]\frac{840}{0.6} =1400[/tex]
Hope this helps
Work out the shaded area of this shape.
Answer:
73
Step-by-step explanation:
An art club sells 42 large candles and 56 small candles.
a. Use the Distributive Property to write and simplify an expression for the profit.
expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $
Answer:
(700-42-56)
Step-by-step explanation:
10-x
5-y
4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y
The emotional atmoshere a reader sences in a poem or story is referred toas its
please help me
the denominator only
Answer:
6/51/33/1013/549/201/15Step-by-step explanation:
You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.
1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:
12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore the answer is 6/52. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12
7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/33. This is fairly straight-forward the denominators already match so just subtract the numerators
6/10-3/10= 3/104. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction
We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/55. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.
(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/206. For this we will use another LCD.
LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15If 24 people fit in 12 RVs,
How many people are in each RV?
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( a + bi )² be equation (1)
On simplifying the equation , we get
A = ( a )² + ( ib )² + 2iab
Now , the value of i² = -1
A = a² + i²b² + 2iab
Substituting the value of i in the equation , we get
A = a² - b² + 2iab
Now , the value of ( a² - b² ) = ( a + b ) ( a - b )
Substituting the values in the equation , we get
A = ( a + b ) ( a - b ) + 2iab
Therefore , the value of A is ( a + b ) ( a - b ) + 2iab
Hence , the equation is ( a + b ) ( a - b ) + 2abi
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So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Cornett Cable charges $32.50 a month for basic cable television. Each preminium channel selected costs an additional $4.95 per month. b. Make a table to show the monthly cost for 0,1,2,3, and 4 premium channels. Then graph the ordered pairs this is the last thing then I'll stop Also, no links please
Answer:
Here it is. The table is on the first one at the bottom.
Step-by-step explanation:
what is the mass of 18 crayons
Answer:144 grams
Step-by-step explanation:normal crayons usually weigh 9g
What is 6x to the power of 3 multiplied by 4x to the power of 8
Answer:
24x^11
Step-by-step explanation:
4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6
Now we just have 24x^11.
-2x+9y=-41
-2x-5y=1
Process of elimination
-2x+9y=41.... equation 1
-2x-5y=1 ....equation 2
________________
14y=43
y=43/14
y=43/14 in equation 1
-2x+9(43/14)=41
-2x+387/14=41
-2x=41-387/14
-2x=187/14
x=187/-28
x=187/28 , y=43/14
if you want to check your answer
-2(187/28)+9(43/14)=41
PLEASE HELP!!!! ASAP
Answer:
78/5
Step-by-step explanation:
1/5 5x + 12 = 18
what is 10/13 as a decimal rounded to the nearest hundredth
Answer:
.770
Step-by-step explanation:
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
[tex]\sf 4x-15=3[/tex]
[tex]\sf \longmapsto4x-15=3[/tex]
[tex]\sf \longmapsto4x = 3 + 15[/tex]
[tex]\sf \longmapsto4x = 18[/tex]
[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]
[tex]\sf \longmapsto x = 4.5[/tex]
Answer:
[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]
Step-by-step explanation:
[tex]4x-15=3[/tex]
[tex]4x-15+15=3+15[/tex] Add 15
[tex]4x=18[/tex]
[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4
[tex]x=\cfrac{9}{2}[/tex]
75 is 15% of what number
75 is 15% of 500!! If you get it wrong IM SO SORRY!!
Answer: 113.3333 (repeating 3’s)
Step-by-step explanation:
17 = 15%
divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%
11.33 = 10%
multiply 10 and 11.33 by 10 to get 100%
113.33 = 100%