Answer:
m= -1/3
Step-by-step explanation:
to find the slope you have to go from any point on the line to a second point on the line.
for example go from point located at (-4, 2) to point (2,0)
slope = how much you moved vertical / how much you moved horizontal
look at the graph at (-4, 2)
move down 2 and then
move right 6 you should be at (2, 0)
which means that the slope m= -2/ 6 = -1/3
whats the average rate of change of h over the interval 5 ≤ t ≤ 9?
Given:
The graph of a function.
To find:
The average rate of change of h over the interval [tex]5\leq t\leq 9[/tex].
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
So, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is:
[tex]m=\dfrac{h(9)-h(5)}{9-5}[/tex]
From the given graph it is clear that [tex]h(9)=7,h(5)=3[/tex]. Substituting these values, we get
[tex]m=\dfrac{7-3}{9-5}[/tex]
[tex]m=\dfrac{4}{4}[/tex]
[tex]m=1[/tex]
Therefore, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is 1.
For an important test, Juan studied for 2 h 20 min, while Ken studied for two thirds of an hour. What percent of Ken's study time was Juan's?
Will give brainliest stars and thx if the answer is right
=========================================================
Explanation:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
2 hrs + 20 min = 120 min + 20 min (add 20 min to both sides)
2 hrs, 20 min = 140 min
Juan studied for 140 min
---------------------
Ken studied for 2/3 of an hour, so he studied for (2/3)*60 = 120/3 = 40 min
We see that Juan studied more than Ken, so that must mean Juan's study time as a percentage of Ken's study time is over 100%
This is because
100% of 40 min = 1.00*40 = 40 min200% of 40 min = 2.00*40 = 80 min300% of 40 min = 3.00*40 = 120 minand so on
We divide Juan's time by Ken's time to get: 140/40 = 3.5 = 350%
350% of Ken's study time was Juan's study time.
In other words, if we take 350% of the 40 min figure, then we get 3.5*40 = 140 which represents Juan's study time.
If your teacher asked the reverse of this, and instead asked "what percent of Juan's study time was Ken's?", then the answer would be 40/140 = 0.2857 = 28.57% approximately.
for positive acute angles A and B, it is known that cos A=9/41 and tan B=21/20. Find the value of sin(A+B) in simplest form.
Answer:
Step-by-step explanation:
I attached a pic so you can see what the angles look like when you draw them out and construct right triangles out of them. We need to find the missing side lengths, ?, in each triangle. For A:
and
x = 40 For B:
and
x = 29. Now that we know all the sides of each triangle, we will use the sum identity for sin:
sin(A + B) = sinAcosB + cosAsinB. Filling in what we found in our triangles for each ratio: sin A = 40/41, sin B = 21/29, and cos B = 20/29
sin(A + B) = which simplifies to
And that's it. It doesn't simplify any further.
If you can please do it all just tryna go to sleep
Answer:
1. 1
2. -3
3. yes
4. no, it is not, because the function stop at point (-6, -2)
5. -2
You spin a spinner and flip a coin. Find the probability of the events.
15. Spinning a 4 and flipping heads
16. Spinning an even number and flipping tails
17. Spinning a multiple of 3 and flipping heads
18. Spinning white and not flipping heads
PLS HELP LOLZ <33
tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year
Answer: tasha's investment will be worth $1,440
Step-by-step explanation:
4%= 4/100= 0.04
PRT=6,000*0.04*6= $1,440
If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to
Step-by-step explanation:
Maths
Bookmark
if 2
2008
−2
2007
−2
2006
+2
2005
=k ⋅2
2005
then the value of k is equal to
Answer
Correct option is
B
3
2
2008
−2
2007
−2
2006
+2
2005
=k⋅2
2005
⇒[2
2008
−2
2006
]−[2
2007
−2
2005
]=k⋅2
2005
⇒2
2006
(2
2
−1)−2
2005
(2
2
−1)=k⋅2
2005
⇒3(2
2006
−2
2005
)=k⋅2
2005
⇒3[2
2005
(2−1)]=k⋅2
2005
⇒3(2
2005
)=k⋅2
2005
On comparing, we get
k=3
Hence, Option B is correct.
Answer:
k = 3
Step-by-step explanation:
[tex]2^{2008}-2^{2007}-2^{2006}+2^{2005}=k \times 2^{2005}[/tex]
[tex]=> (2^{2005} \times 2^3) - (2^{2005} \times 2^2) - (2^{2005} \times 2^1) + 2^{2005} = k \times 2^{2005}[/tex]
Take [tex]2^{2005}[/tex] common from all the terms in L.H.S.[tex]=> 2^{2005}(2^3 - 2^2 - 2^1 + 1) = k \times 2^{2005}[/tex]
Divide both the sides by [tex]2^{2005}[/tex].[tex]=> \frac{2^{2005}(2^3 - 2^2 - 2^1 + 1)}{2^{2005}} = \frac{k \times 2^{2005}}{2^{2005}}[/tex]
[tex]=> 2^3 - 2^2 - 2^1 + 1 = k[/tex]
Expand the terms in L.H.S.[tex]=> 8 - 4 - 2 + 1 = k[/tex]
[tex]=> k = 3[/tex]
Find the exact value of sin (8x) cos (3x) – cos (8x) sin (3x).
Answer:
answer is 11 x
Step-by-step explanation:
Mark brainliest
Graph y=6x−7
Identify the x-intercept.
9514 1404 393
Answer:
x-intercept: 7/6
Step-by-step explanation:
The x-intercept is found by solving for x when y=0.
0 = 6x -7
7 = 6x . . . . . add 7 to both sides of the equation
7/6 = x . . . . divide both sides by 6
The x-intercept is 7/6 = 1 1/6 ≈ 1.167.
__
The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.
Misty needs to gather at least 20 flags for the parade. She has already gathered 6 flags. The inequality shown can be used to find n, the number of flags Misty still needs. n + 6 > 20 Which inequality represents the solution set for this situation? F n < 26 G n > 26 H n < 14 J n > 14
Answer: [tex]n>14[/tex]
Step-by-step explanation:
Given
Misty needs to gather at least 20 flags for the parade
She has already gathered 6 flags
Inequality to find the number of flags needed is
[tex]n+6>20[/tex]
Subtract -6 from both sides
[tex]\Rightarrow n+6-6>20-6\\\Rightarrow n>14[/tex]
Therefore, option (j) is correct.
Ok, I just need this quick question:
I will give about 50 points for an answer and if there is two answers, I will mark the first one as brainliest.
I think - 4 sin [tex]\frac{x}{2}[/tex] - 1 its probably wrong but I attempted it sorry if wrong.
Why did the robber take a bath
Answer:
To make a "clean getaway"
Step-by-step explanation:
haha, nice one :D
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Complete the probability distribution table on your own paper. Answer the question in the text box below. / What is the probability of drawing exactly one blue marble? Write a simplified fraction.
Answer:
The probability of drawing exactly one blue marble is 15 over 32
Step-by-step explanation:
did test
Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
Answer:
Secθ = 11 / 9.22 or sec33°
Sinθ = 6 / 11 or Sin33°
Tanθ = 6 / 9.22 or Tan33°
θ = 33°
Step-by-step explanation:
Given:
Hypotenuse = 11 unit
Perpendicular = 6 unit
Find:
Secθ
Sinθ
Tanθ
Computation:
Base = √Hypotenuse² - Perpendicular²
Base = √11² - 6²
Base = √121 - 36
Base = √85
Base = 9.22 unit (Approx.)
Secθ = Hypotenuse / Base
Secθ = 11 / 9.22 or sec33°
Sinθ = Perpendicular / Hypotenuse
Sinθ = 6 / 11 or Sin33°
Tanθ = Perpendicular / Base
Tanθ = 6 / 9.22 or Tan33°
So value of θ = 33°
HELP ME PLEASE I WILL GIVE BRAINLIEST!
Answer:
the correct answer is option C
If someone vapes for every 15 minutes in a total of 16 hours how many times would they vape in those 16 hours
Answer:
64 times
Step-by-step explanation:
There are 4 sessions of 15 minutes in an hour. Meaning that a person would vape 4 times in an hour. 4 * 16 = 64. A person vapes 64 times in 16 hours. o-o dont vape kids.
Answer and Step-by-step explanation:
We are given the ratio of 1 vape every 15 minutes. We need to convert the time to hours, then multiply the hours by 16.
1 : 15
We know that there are 60 minutes in 1 hour, so we need to multiply 15 by 4 to get 60.
15 × 4 = 60
We also need to multiply 1 by 4, so that the result will be a multiple of the beginning number and so that we didn't get random numbers from somewhere.
1 × 4 = 4
Now we have the ratio 4 : 60, which means that the person vapes 4 times every 60 minutes, or every hour. But since we turned the minutes into an hour, this turns the 60 into a 1. 4 : 1
Now, we have to multiply 4 and 1 by 16 to get the amount of vapes done in 16 hours.
4 × 16 = 64
1 × 16 = 16
So, we have the ratio 64 : 16
This means that the person smokes 64 times in the 16 hours.
#teamtrees #PAW (Plant And Water)
Please I need help.
Find each length or area to the nearest tenth.
ZY:_____
XZ:_____
Area of XYZ:_____
Answer:
XZ = 26.7
ZY = 11.7
Area = 140.4 sq inches
Step-by-step explanation:
m∠Z = 180-(26+90) = 64°
to get XZ you can use the law of sines:
sin 90°/XZ = sin 64°/24
1/XZ = sin(64°)
cross-multiply to get:
XZ·sin(64°) = 24
XZ = 24/sin(64°)
XZ = 26.7
to get ZY you can use the law of sines again:
sin 64°/24 = sin 26°/ZY
cross-multiply to get:
ZY·sin(64°) = 24·sin(26°)
ZY = 24·sin(26°) ÷ sin(64°)
ZY = 11.7
Area = 1/2(11.7)(24)
= 12(11.7)
= 140.4 sq inches
cos C(sec C - 1) = 1 - cos C
Answer:
Step-by-step explanation:
Cos(Sec - 1 ) = 1 - cosC
Cos and Sec are reciprocals which when multiplied together is 1
-1 * Cos = -Cos
SO: 1 - Cos = 1 - Cos
Hope this helps!
Solve:|10n+6|=|8n+10|
Answer:
-8/9, 2
Step-by-step explanation:
see the steps below:)
change the decimals into percentage 6.1 and 0.6
Answer:
6.1 = 610%
0.6 = 60%
Step-by-step explanations:
Convert 6.1 to percentage[tex]= \frac{6.1}{1} * \frac{100}{100} =\frac{610}{100}[/tex]
[tex]= \frac{610}{100}[/tex] = 610%
Convert 0.6 to percentage[tex]=\frac{0.6}{1} * \frac{100}{100} =\frac{60}{100}[/tex]
= [tex]=\frac{60}{100} =[/tex] 60%
Step-by-step explanation:
6.1=61 percent
0.6=6 percent
Solve for r. r - 76 = 9
Answer:
r=85
Step-by-step explanation:
r-76=9
add 76 to both sides
r=85
hope this is helpful
Answer: 85
Step-by-step explanation:
Since we're finding the placeholder of r and we're already subtracting, we need to add! What we need to do is add 76 + 9 which equals 85!
Hope this helps you! Good luck with your future work!
which elevation is higher 8 feet below sea level or 13 feet below sea level
Answer: 8 feet below sea level is higher
Step-by-step explanation:
Solve please!! Please hurry this is due today!!
Answer:
X=2 and y=5
Step-by-step explanation:
5=-4+9 True
5=8-3 True
Help me find answers ASAP please
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 2x
Step-by-step explanation:
1. attendee = x
2. cost = y
3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result
4. Thus, y = 2x
Suppose someone spent the following amounts over several months, $640, $710, $700 and $685. What would be their average monthly expenditure? (Show Your Work)
Answer:
help help help help jelp
Answer:
Step-by-step explanation:
First,
$640+$710+$700+$685=$2735.(total expenditure).
$2735÷4=$683.75.TOTAL AVERAGE.
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Select ALL of the expressions that are equivalent to 3(8-4x) A. (4x+ 8) + (4x+8) +( 4x+8) B. 24+12x C. -4x+24 D. 12x+24 E. - 12x-24
Solve for x. (-6/5) x - 4 = -46
A: 23
B: 35
C: -23
D: -35
Answer:
you have flvs? am if u do is it geometry?
Melissa wants to expand her rectangular sandbox that measures 4 feet by 8 feet. Two sides of the sandbox are against a fence. She wants to increase the length and the width of the sandbox by the same amount on the two sides that are not against the fence. The total area of the new sandbox will be 60 square feet. What is the amount of increase?
Answer:
The amount with which she should increase the length and the with of the sandbox is 2 feet each
Step-by-step explanation:
The dimensions of Melissa's rectangular box are;
Width of the box = 4 feet
Length of the box = 8 feet
The total area of the new sandbox, A = 60 square feet
Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;
The area of the new sandbox, A = The new length × The new width
A = 60 ft.²
The new length = 8 + x
The new width = 4 + x
∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32
60 = x² + 12·x + 32
60 - 60 = 0 = x² + 12·x + 32 - 60
∴ x² + 12·x - 28 = 0
(x + 14)·(x - 2) = 0
x = -14 or x = 2
Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet
The amount of increase of the length and the width of the sandbox, x = 2 feet each.