Answer:
G = -32
Step-by-step explanation:
true or false ? why and why not ?
8a - (8a - 8) is equivalent to 8
Answer:
True
Step-by-step explanation:
Apply the distributive property
8a-(8a)- -8
Multiply 8 by -1
8a-8a- -8
Multiply -1 by -8
8a-8a+8
Simplify by adding terms
Subtract 8a from 8a
0+8
Add 0 and 8
8
Hope this helps :)
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RATIOS
In a pet store, the ratio of fish to birds is 8 to 3. There are 24 fish in the store.
What is the total number of fish and birds in the store?
Answer:
33
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
find the first second third and fourth derivative of y is equals to 10x raise to Power 9 + 25 x raise to power 4 + 68 + 6 + 12x raise to power 4
Answer:
Step-by-step explanation:
The first derivative of the given function y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
dy/dx = 90x^8 + 100x^3 + 48x^3
= 90x^8 + 148x^3
The second derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
d^2y/dx^2 = 720x^7 + 444x^2
The third derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
d^3y/dx^3 = 5040x^6 + 888x
The fourth derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
d^4y/dx^4 = 30240x^5 + 888
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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How do I write an equation in slope intercept form
Answer: u would have to use the slope intercept form which is m=y²-y¹/x²-x¹
Step-by-step explanation:
What is the interest on a $1,000, 18-month loan, with a 10% simple interest rate?
Answer:
$150
Step-by-step explanation:
Interest = Principal x Rate x Time
where Principal is the amount borrowed, Rate is the interest rate, and Time is the duration of the loan.
In this case, the Principal is $1,000, the Rate is 10%, and the Time is 18 months (which we'll convert to a fraction of a year).
First, we need to convert 18 months to a fraction of a year. Since there are 12 months in a year, 18 months is equal to 18/12 = 1.5 years.
Using the formula:
Interest = Principal x Rate x Time
Interest = $1,000 x 0.10 x 1.5
Interest = $150
So the interest on the $1,000 loan with a 10% simple interest rate for 18 months is $150.
Answer:
The formula for simple interest is I = Prt, where I is the interest, P is the principal or amount borrowed, r is the interest rate, and t is the time in years.
In this case, P = $1,000, r = 10% or 0.10 as a decimal, and t = 1.5 years (since 18 months is equivalent to 1.5 years).
I = Prt
I = $1,000 * 0.10 * 1.5
I = $150
Therefore, the interest on the $1,000 loan with a 10% simple interest rate for 18 months is $150.
all expression equal to 4x4x4
Answer:
what?
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y
y
8-
7
6+
-9-8-7-6-5-4-32
2 3 4 5 6 7 8 9
-27
-3
-4
-5
-6
-8
Answer:
Could you possible line the numbers up a little bit, it'd be better to understand that way.
(6+9)2+6(600-9)+600 divide 30
Step-by-step explanation:
GIVEN
HERE
= 6+9+2+6+600÷30 { firstly add numbers }
= 623 ÷ 30
= 20
I think you understand
A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designer's net income, y, for July for x hours of work.
Select True or False to describe each statement.
True False
The x-intercept represents the amount the designer charges for 1 h of work.
True – The , x, -intercept represents the amount the designer charges for 1 h of work.
False – The , x, -intercept represents the amount the designer charges for 1 h of work.
The difference between 0 and the y-intercept represents the amount the designer spent on advertising.
True – The difference between 0 and the , y, -intercept represents the amount the designer spent on advertising.
False – The difference between 0 and the , y, -intercept represents the amount the designer spent on advertising.
The slope represents the designer's hourly rate.
True – The slope represents the designer's hourly rate.
False – The slope represents the designer's hourly rate.
Graph of a line on a coordinate plane. The graph titled Net Income for July. The horizontal axis is labeled Time Worked (h) and vertical axis is labeled Net Income (S). The horizontal x axis ranges from 0 to 18 in increments of 2. The vertical y axis ranges from negative 400 to 400 in increments of 100. A line passes through the coordinate points begin ordered pair 0 comma negative 300 end ordered pair and begin ordered pair 6 comma 0 end ordered pair
False: The x-intercept represents the amount the designer charges for 1 h of work.
True: The difference between 0 and the y-intercept represents the amount the designer spent on advertising.
True: The slope represents the designer's hourly rate.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
By critically observing the graph (see attachment), the coordinates of the y-intercept of this line is given by y-intercept = (0, 6), which represents the graphic designer's expenses on advertising for the month of July.
What is x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of any function crosses the x-coordinate and the value of "y" is equal to zero (0).
From the graph (see attachment), we can logically deduce that the x-intercept represents the number of hours which the graphic designer would have to work, in order to cover his expenses (on advertising) for the month of July.
In conclusion, the hourly rate of this graphic designer for the month of July is represented by the slope of the graph.
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assume a businessman has 6 suits and 7 ties. he is planning to take 3 suits and 2 ties with him on his next business trip. how many possibilities of selection does he have?
There are 420 possibilities of selection he has
What are combinations?
Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.
Permutations and combinations are often mistaken. The chosen components' order is crucial in permutations, though. For instance, whereas permutations treat the arrangements differently, combinations treat the arrangements ab and ba equally (as one arrangement).
Formula;
\(^{n}C_{r}=\frac{n!}{(n-r)! r!}\)
\(^{6}C_{3}\times ^{7}C_{2}\)
= \(\frac{6!}{(6-3)! 3!}\) \(\times \frac{7!}{(7-2)! 2!}\)
= 6!/(3!)(3!) * 7!/(5!)(2!)
= 20* 21
= 420
There are 420 possibilities of selection he has
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12. If a newly-discovered exo-planet Le Grosse Homme orbits around a solar-mass star in 2.8284 years, what would be its distance to the star, using Kepler's Third Law?
P2 = a3 (years) 2 = (distance in AU) 3
a) 7.03 AU
b) ~2.0 AU
c) 6.69 AU
d) 0.669 AU
e) 3.0 AU
Using Kepler's Third Law, we can find the distance of the exo-planet from its star. The formula is P^2 = a^3, where P is the orbital period in years and a is the average distance from the planet to the star in astronomical units (AU).
the average distance of Le Grosse Homme from its star is approximately 2 AU, which is answer choice b).
To determine the distance of the exo-planet Le Grosse Homme to the star, we will use Kepler's Third Law, which states that the square of the orbital period (P) of a planet is proportional to the cube of the semi-major axis (a) of its orbit. The formula is given as:
P² = a³
In this case, the orbital period P is 2.8284 years. We can now solve for the semi-major axis (a), which represents the distance from the planet to the star in astronomical units (AU).
Step 1: Square the orbital period
(2.8284)² = 7.99968336
Step 2: Find the cube root of the squared orbital period to get the distance (a)
a = ∛(7.99968336) ≈ 2.0 AU
So, the distance of the exo-planet Le Grosse Homme to the star is approximately 2.0 AU. The correct answer is option (b) ~2.0 AU.
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This is my question pls help!!!
Answer:
\(20 {e}^{9} {f}^{11} \)
Show Work:
\(5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} \)
\(5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1\)
\(5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} \)
\(20 {e}^{9} {f}^{11} \)
\(5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} \)
Answer:
\(20 {e}^{9} {f}^{11} \)
Hope you could get an idea from here.
Doubt clarification - use comment section.
3 km : 1200 m
? : ?
what is both mean
Step-by-step explanation:
Answer in attached picture
hope it helps
Answer:
5:2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Please I need help!!!!
Answer:
1st
Vertex
we have
f(x)=x²-18x+88
let
y=x²-18x+88
comparing above equation with ax²+bx+c
we get
a=1
b=-18
c=88
now
vertex(x,y)=(-b/2a,f(-b/2a))
x=(18/2×1)=9
y=f(9)=9²-18×9+88=7
SO
VERTEX(X,Y)=(9,7)
=
#1
y=x²-18x+88x coordinate of vertex
-b/2a18/29y coordinate
y=9²-18(9)+88y=81+88-162y=7Option C.
#2
y=x²-9x-36y intercept
y=0-36=-36(0,-36)
x inetercepts
x²-9x-36=0x²-12x+3x-36=0(x-12)(x+3)=0x=12,-3(12,0)U(-3,0)
#3
y=-x²+3x+12Find dy/dx
-2x+3f'(x)=0<=>x=3/2
For increasing
-2x+3>0x<3/2For decreasing
x>3/2F(x) is increasing on (-oo,3/2)
F(x) is decreasing on (3/2,oo)
D⚠️⚠️ I HAVE 6 MINUTES LEFT ⚠️⚠️
Answer:
i think its -2 or 6 or -6.75, depending on how you phrase it. just use the formula below :) sorry im not much help
Step-by-step explanation:
-5-3/4-1
m=x2-x1/y2-y1
please help me!!
thank you so much
Answer: B
Step-by-step explanation:
I might not be right i did all the calculations in my head
'
Answer:
B : 9 x 10
Step-by-step explanation:
So i am just going with what i think it is going on here...
4 x 10 5 : 4 x 10 x 10 x 10 x 10 x 10 = 400000 (not a perfect square)
9 x 10 4 : 9 x 10 x 10 x 10 x 10 = 90000 (a perfect square)
4 x 10 3 : 4 x 10 x 10 x 10 = 4000 (not a perfect square)
9 x 10 3 : 9 x 10 x 10 x 10 = 9000 (not a perfect square)
(sorry if i'm wrong but i hope this helped)
my i add this took me so long to multiply and stuff
In the right triangle, what is the measure of KMH?
Since interior angles of any triangle add up to 180 degrees, we have
\(\angle MKH+\angle KHM+\angle KMH=180\)Now, by substituting the given values, we get
\(90+51.6+\angle KMH=180\)which gives
\(141.6+\angle KMH=180\)Then, by subtracting 141.6 to both sides, we have
\(\angle KMH=38.4\)Then, by comparing with the given options, the answer is the last option.
Chelsea’s family traveled 300 miles by car each day during their family vacation. How many miles did Chelsea’s family travel over all 6 days?
Answer:
1800 miles
Step-by-step explanation:
If they traveled 300 miles per day and traveled for 6 days you would multiply 300 by 6 and get 1800. I hope that helps
Please Show Work
.......................
Frodo Baggins sells soup in 250 mL containers. How many liters of soup are in one container?
0.25 Liters
250 Liters
0.0025 Liters
2.5 Liters
Answer:
The correct option is a: 0.25 Liters.
Step-by-step explanation:
To find how many liters of soup are in one contanier we need to convert the unit milliliters to liters.
In 1 L we have 1000 mL so in one container of 250 mL we have the following content in liters:
\( V = \frac{1 L}{1000 mL}*250 mL = 0.250 L \)
Therefore, the correct option is a: 0.25 Liters.
I hope it helps you!
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-3,6), (0:3), (4,0), (7, -3)}
B = {(-6,3), (-3, 4), (0,5), (3,6)}
C = {(-7,7), (-2,5), (3,4), (8,3)}
D = {(-8,7), (-4,5), (-1,3), (3,1)}
Answer:
The second option represents a linear function
so B is the answer
Step-by-step explanation:
linear functiona show pattern and B goes +3 and +1
x−6y=19 solve for y.
Answer: y= - 19/6+x/6
Step-by-step explanation: maybe
_____, a variation of the bar chart, is useful for tracking progress toward completing a series of events over time.
Gantt chart, a variation of the bar chart, is useful for tracking progress toward completing a series of events over time.
A Gantt chart is a project management tool that displays business activities over time. Gantt charts were created in the early 20th century by Henry Gantt to improve project planning, scheduling, and tracking by describing how work is being done compared to planned work. Today, project managers and team members use only one tool to plan projects, allocate resources, and track progress.
It is a bar chart that shows the status of the project, when each task should occur, and how long each task will take to complete. As the project progresses, graphs are shaded to show which tasks have been completed. Using Project Manager's Gantt chart, we can assign tasks to our partners, schedule them, estimate costs, and track progress in a timely manner. Therefore, a Gantt chart can be used to track the progress of completion events over time..
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Find the arc length parameter along the curve from the point where t0 by evaluating the integral . Then find the length of the indicated portion of the curve. r(t)
The length of the indicated portion of the curve is 8.831t.
What is a perimeter in math?
Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.You have the following vector:
r(t) =( 4+ 5t, 8 + 2t , 2 - 7t)
To find the arc length you use the following formula
\(L = \int\limits^b_a \sqrt{(\frac{dx}{dt}) ^{2} +( \frac{dy}{dt}) ^{2} } + (\frac{dz}{dt}) ^{2} dt\)
where dx/dt, dy/dt and dz/dt are the components of the vector dr/dt.
Then, you calculate dr/dt
\(\frac{dr}{dt} = ( 5, 2 , -7)\)
Next you replace in the integral of the equation (1)
\(L = \int\limits^t_0 \sqrt{5^{2} + 2^{2} + (-7)^{2} } = 8.831t\)
hence, the arc length is L = 8.831t
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The complete question is -
Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s= V(T) dt. Then find the length of the indicated portion of the curve.
r(t) = (4 + 5t)i + (8 + 2t)j + (2 - 7t)k, -1sts
Solve this quickly please!!
Answer:
Step-by-step explanation: we will first work out a
so 23 is the hypotenuse
a is the opposite
so what we need to do is 46sin(23) and that will give you 17.97 cm
next we will work out b
b is the adjacent
23 is the hypotenuse
so in this case we must do 46cos(23) and that will give you 42.34
last, we will work out B
a is 17.97 cm and its the adjacent
23 is the hypotenuse
so we do sin-1(17.97/23)= 51.38
HURRY I NEED HELP QUICK!!!!!!!
Which equation represents the graph shown?y =
y = x - 35
y = x + 35
y = 35 x
y = x/35 (fraction)
Answer:
y = 35xStep-by-step explanation:
If you notice, point 4 on the x-axis (horizontal) coincides with 140 on the y-axis.
If you multiply x * 35 = 140
x is four.
Find the arc length of the shaded arc below
Answer:
6.123
Step-by-step explanation:
I found it is 6.123
whats the answer to this question
8/x=5/9
x=?
Answer:
8/14.4 is the answer
Step-by-step explanation:
both equal 0.5555556
An equilateral triangle has an apothem length 2. What is the area of the triangle?
12√√3
4√3
4
Area = 12√3
What is an equilateral triangle ?An equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Given,
Length of apothem of equilateral triangle = 2
It is an equilateral triangle made up of six 30°-60°-90° right triangles with the short leg of 2 units.
2 is the altitude of small triangles
tan 30° = altitude/base
1/√3 = 2/base
base = 2√3
Area of the equilateral triangle
= 6 × area of the small triangles
= 6 ×1/2 × altitude × base
= 3 × 2 × 2√3
= 12√3
Hence the area of equilateral triangle becomes = 12√3
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