Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point
So lets use the Point-Slope Formula to find the equation of the line
y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)
y-9=-8x%2B%28-8%29%28-6%29 Distribute -8
y-9=-8x%2B48 Multiply -8 and -6 to get 48
y=-8x%2B48%2B9 Add 9 to both sides to isolate y
y=-8x%2B57 Combine like terms 48 and 9 to get 57
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Answer:
So the equation of the line with a slope of -8 which goes through the point (6,9) is:
y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57
Jonny had ? cakes. He eats 1/2 of
his total amount of cakes. How much
cake does he have left?
Answer:
1/2 * (?)
Step-by-step explanation:
Divide (?) Cakes in half
Answer:
How many cakess did he have? impossible to answer otherwise
Step-by-step explanation:
it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap
Answer:
$0.90
Step-by-step explanation:
So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90
PLEASEEEEEE HELPPPPPP IM SO CONFUSED IVE BEEN TRYING TO SOLVE FOR DAYS
I WILL ALSO GIVE BRAINLIEST!!!
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 12.81 mm. What is a reasonable domain to plot the growth function?
Answer:
9 days
Step-by-step explanation:
1= 9*(1.04)^d
12.81/9= (1.04)^d
1.423= (1.04)^d
log(1.423)= d *log(1.04)
0.1532=d * 0.017
d= 0.1532/0.017
d=9
The reasonable domain to plot the growth function is in the interval [0,9].
Answer:
9 days
Step-by-step explanation:
Find cosX and cosZ. Write each answer as a fraction and as a decimal. Round to four decimals places, if necessary. Fractions to reduce and use /.
Answer/Step-by-step explanation:
Recall the acronym, SOHCAHTOA.
✔️Cos X = adj/hyp (CAH)
Adj = 10
Hyp = 26
Cos X = 10/26
Simplify
Cos X = 5/13 (as a fraction)
Cos X = 0.3846 (as a decimal to 4 d.p)
✔️Cos Z = adj/hyp (CAH)
Adj = 24
Hyp = 26
Cos Z = 24/26
Cos Z = 12/13 (as a fraction)
Cos Z = 0.9231 (as a decimal to 4 d.p)
Solve the inequality 8c + 6 < -6c - 1
Answer:
c < - 0,5
Step-by-step explanation:
8c + 6 < - 6c - 1
// move the terms
8c + 6c < - 1 - 6
// collect the terms
14c < - 7
// divide both sides by 7
2c < -1
// divide both sides by 2
c < - 0,5
4x+3(2x-1)-4x i need help
Answer:
x=0.5
Step-by-step explanation:
Simplifying
4x + -3(2x + -1) + -4x = 0
Reorder the terms:
4x + -3(-1 + 2x) + -4x = 0
4x + (-1 * -3 + 2x * -3) + -4x = 0
4x + (3 + -6x) + -4x = 0
Reorder the terms:
3 + 4x + -6x + -4x = 0
Combine like terms: 4x + -6x = -2x
3 + -2x + -4x = 0
Combine like terms: -2x + -4x = -6x
3 + -6x = 0
Solving
3 + -6x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -6x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -6x = 0 + -3
-6x = 0 + -3
Combine like terms: 0 + -3 = -3
-6x = -3
Divide each side by '-6'.
x = 0.5
Simplifying
x = 0.5
please help giving lot of points
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
Which is the slowest reading rate?
A. 3 pages in 9 minutes
B. 4 pages in 10 minutes
C. 5 pages in 13 minutes
D. 7 pages in 20 minutes
Answer:
A. 3 pages in 9 minutes
Step-by-step explanation:
3 & 9 are all the lowest out of those options.
Help????????????? I need answer
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Work Shown:
y - y1 = m(x - x1)
y - 2 = 3(x - 5)
The m is the slope, while the (x1,y1) refers to the point the line goes through.
Side note: If you wanted to convert this to slope intercept form, then it would become y = 3x - 13. The y intercept is -13.
Answer:
C
Step-by-step explanation:
A vase in the shape of a cube measures 8 inches on each side. The vase is half full of water. How many cubic inches of water are in the vase?
Answer:
64in cubes
Step-by-step explanation:
Because if the vase is half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.
I need the answer to this problem please
Pls help me pls pls pls I’ll make brainliest
Answer:
Alr what do you need help with
what is 240 x 343 x 234 x 123 x 23 - 89
Rick and Lisa each have their own cookie jar Rick's cookie jar is 7/8 full and Lisa is 5/8. Fraction represents how much more of Rick's jar is full than Lisa?
Answer:
2/8 is the right answer your welcome
2/8 of a jar more full.
Tip: ALWAYS circle the numbers or key information to get the best results.
Watch what happens!
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Some key information in this problem is 7/8, and 5/8.
Since they asked us how much more and what fraction represents it, we should subtract 5/8 from 7/8 to find how much more full Rick's jar is than Lisa's.
7/8 - 5/8 = 2/8
So in summary, Rick's jar is 2/8 more full than Lisa's jar.
Sully has completed 3/10 of a book. He has read 45 pages so far. How many pages are in the whole book?
Answer:
150 pages
Step-by-step explanation:
3/10 is equal to 0.3, or 30% of the book. We can set up an equation to find the total number of pages in the book, with x representing the number of pages.
0.3x=45
0.3x/0.3=45/0.3
x=150
Solve this system by substitution. y = 3x - 12 6x + y = 6 *Remember to write your answer as a coordinate voint (x, y).
60÷(63÷7)=
I don't understand plz help
Answer:
answer is simple
first we will solve the bracket
(63÷7)
it is 9
and then 60÷ 9
which gives 6.67
The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .
In 2011 the boat will be worth $ .
Answer:
Step-by-step explanation:
[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 9y2
This question is incomplete, the complete question is;
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.
x² + 9y² = 9
(a) About
y = 3
(b) About
x = 3
Answer:
a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
Step-by-step explanation:
a) the volume of solid of revolution
about y=3
Using SHELL METHOD;
Volume V = 2π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) (2.3√(1-y²)) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) √(1-y²) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (( 3√(1-y²) - y(√(1-y²)) dy
= 12π[ [tex]\frac{3}{2}[/tex]π - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b)
the volume of solid of revolution
about x=3
Using SHELL METHOD;
Volume V = [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) ([tex]2.\frac{1}{3}[/tex]√(9-x²)) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) √(9-x²) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3√9-x² -x√(9-x²) dx
= [tex]\frac{4}{3}[/tex]π [ [tex]\frac{27}{2} \pi[/tex] - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
Find a. Give your answer in
the simplest form.
[?]
a
zva
d
а
45
30
b
с
Answer:
a=7
Step-by-step explanation:
7(sq rt 2)=(sq rt 98)
sin 45=a/(sq rt 98)
0.7071=a/(sq rt 98)
a=0.7071(sq rt 98)
a=7
It’s due late tonight can some pls help me pass
Answer:
Table A
Step-by-step explanation:
plugging the x values into the rule f(x)=-2x gets you
f(-3)= 6
f(-1)= 2
f(1)= -2
f(3)= -6
Please answer the 2 questions I put. Please show your work in the answers.
On a school bus, 22 of the 40 students are in window seats. What percent of the students are in window seats?
Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?
Answer:
75% of what number is 24? 32. Yesterday, 8% of the 150 6th graders were late. How many 6th graders were late? ... On a school bus, 22 of the 40 students are in window seats. What percent of the students are at a window seat? 55%. Write as a fraction in simplest form. 0.8%. 1/125.
Step-by-step explanation:
5 cm
12 cm
What is the area
of this rectangle?
And why
Answer:
60cm^2
Step-by-step explanation:
5X12=60
the length of a rectangle garden is 5 m the area is 176 m2 what is the width of the garden
Answer:
Step-by-step explanation:
L = 5 m
area = L×W = 176 m²
5W = 176
W = 176/5 = 35.2 m
-6
O A. Q = (1,2); P =(3,4); R = (5,6)
O B. Q = (3,5); P = (7,6); R = (5,2)
O c. Q = ( 6, 10); P = ( 14, 12); R = (10,4)
D. Q = (12, 20); P = ( 28, 24); R = (20,8)
Other
Answer:
IS A guys okay A
Step-by-step explanation:
You Suck So Much ohhhhhhhhhhhhhhhhhhhhhhhh
1.
Identify the vertex, complete the table, and graph g(x) = (x - 4)2 – 5.
y
g(x)
X
Vertex:
Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
Who needs help in edge classes? $50 a class
Answer:
Step-by-step explanation:
I don’t understand so sorry I can’t help
Answer:
me plz
Step-by-step explanation:
subtract 10x^2-10x+2 from -8x^2+7x-7
Answer:
-18x^2+17x-9
Step-by-step explanation:
Help me out please I need you’re help with this question ✏️
the answer to your question might be (B).
HELP IMMIDIATELY MY TEACHER IS TIMING ME! 30 POINTS
Answer:
27 and 23
Step-by-step explanation: