Answer: 180
Step-by-step explanation:
This is just testing if you know the sum of cubes formula:
[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]
Plugging in the respective values, you get
[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]
-3 and -5 what is less, greater than , and or equal
Answer:
-3 is less and -5 is greater
Step-by-step explanation:
Answer:
less than
Step-by-step explanation:
because -5 would be less than -3 because it is bigger
Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?
Answer: $6322
114800.8806 - 108478.6929
= 6322.1877
Rounded to the nearest dollar = $6322
Answer:6761
Step-by-step explanation:
Alg 2-7_2 BR Trigonometry
To approach the runway, a pilot of a small plane must begin a 5° descent starting from a height of 1732 ff above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach( how far does the airplane have to fly)?
0 3.7 mi
0 3.8 mi
0 0.3 mi
0 19,872.5 mi
==============================================================
Explanation:
Check out the diagram below.
Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).
sin(angle) = opposite/hypotenuse
sin(5) = 1732/x
x*sin(5) = 1732
x = 1732/sin(5)
x = 19,872.4713415001 approximately
x = 19,872.5
It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.
19,872.5 ft = (19,872.5)/5280 = 3.7637 miles
That then rounds to the final answer of 3.8 miles (choice B).
------------
Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x
sin(5) = 0.328/x
it should lead you to x = 3.8 miles
If the sum of two consecutive
even integers is - 18, find the
integers.
-10 and -8????
I believe because -10 + -8 = -18 and they are both consecutive
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type
Answer:
17 pages
Step-by-step explanation:
Let L = number of pages printed Larger type
S = number of pages printed smaller type
the article is allow 21 full pages in a magazine. -->L + S = 21
1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)
18L + 24S = 480
Solve:
L + S = 21
18L + 24S = 480
we can use elimination by eliminating 18L so we can isolate the value of S
-18 (L + S = 21)
18L + 24S = 480
-18L - 18S = 378
18L + 24S = 480
6S = 102
S = 17
what is the common denominator of 6/7 and 3/8(please help i'm failing math)
Answer:
56
Step-by-step explanation:
Find the slope of the line containing the points (-3,-4) and (7,-6).
Answer:
-1/5
Step-by-step explanation:
slope formula
Help me pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a).
perimeter=326 m
length l=89 m
width w=?
Perimeter of a rectangle=2(l+b)
2(89+w)=326
89+w=326/2=163
w=163-89=74 m
b).
area=4648 cm^2
width=56 cm
length=4648/56=83 cm
i started some of it but i’m really confused with the rest. does anyone know how to do this?
Answer:
see below
Step-by-step explanation:
You're doing well! The parts of the table you've done are correct.
For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].
x =1 : 6 - 2(1) = 4 (1, 4)
x = 2: 6 - 2(2) = 2 (2, 2)
x = 3: 6 - 2(3) = 0 (3, 0)
x = 4: 6 - 2(4) = -2 (4, -2)
Each of the parts of the function rule graph as pieces of straight lines. The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4). Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.
Answer:
Step-by-step explanation:
If tan^2 = 1-a^2, then the value of sec+tan^3 cosec is
Pls explain fast
Answer:
for example okk then you will try
Answer: (1) (2 – e2)3/2
Solution:
Given,
tan2θ = 1 – e2
sec θ + tan3θ cosec θ
= sec θ + (sin3θ/cos3θ) (1/sin θ)
= sec θ + tan2θ sec θ
= sec θ(1 + tan2θ)
= √(1 + tan2θ) (1 + tan2θ)
= (1 + tan2θ)3/2
= (1 + 1 – e2)3/2
= (2 – e2)3/2
if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?
explain
Answer: $4.29?
Step-by-step explanation:
3 pack /3 = $12.88 /3
1 pack = 4 22/75 or approx $4.29
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answer:
y = -7x + 3/11
Step-by-step explanation:
hey i need all three boxes solved please
giving 12 points
Answer:
it says 6 points not 12 points
Step-by-step explanation:
You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?
Answer:
5:7
Step-by-step explanation:
6 * 2 /( -1)4* 5-(8+3)
Answer:
-251
Step-by-step explanation:
Following BEDMAS/PEMDAS
6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis
= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right
= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11
= -251
3⁸ × 3⁹ in index form simplified
Answer:
6561 x 19683
Step-by-step explanation:
.............
Please help me! my teacher didn't teach me this!!
Answer:
skew
skew
parallel
parallel
Step-by-step explanation:
First see the below figure to understand parallel and skew lines
As you can see parallel lines lie on the same plane
skew lines lie on different plane and do not intersect
1)AB and GF
AB lies on ABCD plane
GF lies on EFGH plane
and they will never meet / intersect
so skew
2)DH and BF
DH lies on ADHE plane
BF lies on BCGF plane
they seem parallel but they are on different plane, so skew
3)EF and HG
EF and HG both lie on the same plane EFGH
and they both are parallel
4)for this see the second picture
both these planes are parallel
Hope this helps!
Use the model why 522 is divisible by 9
Answer:
The rule for divisibility by 9 works because numbers are written in base 10.
Step-by-step explanation:
Hello I need plzzzz help
Answer:
The number of hours Jenny babysits
Step-by-step explanation:
Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.
Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x
5(3)+10. This means Jenny will charge the person she babysat for a total of
$15 just for the hours alone.
Hope this helps! :)
Answer:
x represent the number of hours Jenny Babysits
Step-by-step explanation:
since she charges $5 per hour, then X is always how many hours
Which describes the slope of the line that passes through the points (2, 5) and (– 4, 5)?
Answer:
m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5
m = 5-2/-4-5 = -1/3
Step-by-step explanation:
Select the quadrilateral for which the diagonal is a line of symmetry.
A. parallelogram
B. square
C. trapezoid
D. isosceles trapezoid
Answer:
b
Step-by-step explanation:
cut it in half, boom equal
Answer:
b
Step-by-step explanation:
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
the diameter of a circle is 8 centimeters
There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?
Answer:
11 Julie's and 5 East Indians
Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from where y is not a vowel
The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.
There are 10 vowels (5 of lowercase and 5 of upper case).
Thus, 10 ways of choosing the first letter.
Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).
Similarly, third and fourth letter can be any of the 52 letters.
Thus, using the product rule, the number of ways of making the four letter password is:
[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]
(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).
We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.
Thus, the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
Learn more about rule of product combinations here:
https://brainly.com/question/2763785
Х
у
-2
3
2
-9
6
-21
10
-33
Answer:
y = - 3x - 3Step-by-step explanation:
Given table:
x | -2, 2, 6, 10 y | 3, -9, -21, -33Use two pairs of points to work out the equation of the line y = mx + b:
(-2, 3) and (2, - 9)Find the slope:
m = (-9 - 3)/(2 - (-2)) = - 12/4 = - 3Use one pair to find the y-intercept:
3 = - 3*(-2) + b3 = 6 + bb = 3 - 6b = - 3The line is:
y = - 3x - 3m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)
3 = (-3)•(-2) + b
3 = 3•2 + b
3 = 6 + b
b = -3 ==> (a)
Soo :
y = -3x - 3Question 1 (2 points)
Find the missing side.
А b с
14
23
B
O
37
Answer:
USED YOUR BRAIN NOT BRAINLY...
Step-by-step explanation:
TY
Graph the line with the equation y = 6/5x-2
Answer:
Step-by-step explanation:
The graph of equation is shown in figure.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = 6/5x - 2
Now,
Since, The equation of line is,
⇒ y = 6/5x - 2
Clearly, The slope = 6/5
And, The y - intercept = - 2
Thus, The graph of equation is shown in figure.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
1. A linear function can be represented by the equation y = 7x - 4. Identify the slope and y-intercept.
y-intercept:
Slope:
Hello!
Remember y=mx+b.
m is the slope and b is the y intercept.
So
the slope is 7 and the y intercept is 4.
Hope this helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SIlentNature[/tex]
Answer:
slope: 7
y-intercept:4
Step-by-step explanation: