Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of a straight line we only need two points off of it, hmmm let's use from the table (-1 , 13) and (2 , 1)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4[/tex]
The required rate of change in the slope-intercept form is -4. Option A is correct.
What is the slope of the line?The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Two coordinates from the table,
(-2, 17) and (-1, 13)
Now,
Rate of change = slope of the function = (13 - 17) / (-1 - (-2))
= -4 / 1
= -4
Thus, the required rate of change in the slope-intercept form is -4. Option A is correct.
Learn more about slopes here:
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Related Questions
Nonsense will be reported!!
Plss I need solution Ty!!.
Answers
[tex]\\ \rm\Rrightarrow \sqrt{36x^{21}y^{64}}=6y^8x^{10.5}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[15]{7^{10}a^{25}b^{-35}}=7^{2/3}a^5b^{-7}{3}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{648(3m-2n)^{64}}=648^{1/3}(3m-2n)^4[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[4]{(a^2-2a+1)^{29}(a^2-1)^7}=(a^2-a+1)^{29/4}(a^2-1)^{7/4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{3a^2b}{\sqrt[3]{18a^{21}b^{17}}}=\dfrac{3a^2b}{18^{1/3}a^7b^{17/3}}=\dfrac{3a^{-5}b^{-14/3}}{18^{1/3}}=\dfrac{3}{18^{1/3}a^5b^{14/3}}[/tex]
gina wilson unit 7 homework 3 second page document
Answers
Answer:
4) 14.5
6) 11.4
Step-by-step explanation:
4) Area = 20 * 21/2 = 29 * x/2
so x = 20 * 21/29 = 14.5
6) Area = 22.4 * 13.2/2 = 26 * x/2
so x = 22.4 * 13.2/26 = 11.4
Find tan(a-b)
sin a=4/5
tan b=3/4
Give the exact answer, not a decimal approximation.
Answers
Answer: 0.2916666665
Step-by-step explanation:
Answer:
[tex]\frac{7}{24}[/tex]
Step-by-step explanation:
By the Pythagorean Theorem, we know
[tex]\cos^2a=1-\sin^2a[/tex].
With this, we can find [tex]\cos a[/tex] by plugging in what we know for [tex]\sin a[/tex]:
[tex]\cos^2a=1-(\frac{4}{5})^2\\~~~~~~~~=1-\frac{16}{25}\\~~~~~~~~=\frac{9}{25}[/tex].
Taking the square root, we get
[tex]\cos a=\frac{3}{5}[/tex] .
Note: there seems to be a problem with the question? It doesn't specify what range [tex]a[/tex] lies in, so we don't know whether [tex]\cos a[/tex] is positive or negative. In this case, I assumed it was positive.
From this, we can find [tex]\tan a[/tex]:
[tex]\tan a=\frac{\sin a}{\cos a}\\~~~~~~~=\dfrac{\frac{4}{5}}{\frac{3}{5}},[/tex]
so [tex]\tan a=\frac{4}{3}[/tex].
Using the [tex]\tan[/tex] difference formula, we know
[tex]\tan (a-b)=\dfrac{\tan a -\tan b}{1+\tan a\tan b}[/tex] .
Plugging in the values we know for [tex]\tan a[/tex] and [tex]\tan b[/tex], we get
[tex]\tan(a-b)=\dfrac{\frac{4}{3}-\frac{3}{4}}{1+\frac{4}{3}\cdot\frac{3}{4}}\\~~~~~~~~~~~~~~=\dfrac{\frac{7}{12}}{1+1}\\~~~~~~~~~~~~~~=\boxed{\frac{7}{24}}~.[/tex]
Which equation, when solved, results in a different value of x than the other three?
8.3=−0.6x+11.3
8 point 3 is equal to negative 0 point 6 x plus 11 point 3
11.3=8.3+0.6x
11 point 3 is equal to 8 point 3 plus 0 point 6 x
11.3−0.6x=8.3
11 point 3 minus 0 point 6 x is equal to 8 point 3
8.3−0.6x=11.3
8 point 3 minus 0 point 6 x is equal to 11 point 3
Answers
Answer:
i think it might be c
Step-by-step explanation:
tell me if its wrong or not and brain list please
Add and Subtract Decimals
Use the models to solve each equation. Match the letter of each
problem to the corresponding space below to answer the following
riddle.
The more of them you take, the more you leave behind.
What are they?
Answers
There are no pictures provided.
( Talking about the models )
can someone help me with this
Answers
7. The cost price of a book is $8. Find the selling price of the
book if the store's markup is 36%.
Answers
Answer:
$10.88
Step-by-step explanation:
To find the selling price, we first have to find the markup price by multiplying 8 by 36 and then dividing the product by 100.
8 × 36 = 288288 ÷ 100 = 2.88Now, we add the markup price the cost of the book.
2.88 + 8 = $10.88.Therefore, the selling price is $10.88.
HELP PLS!
Susan's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Susan's bank hold?
Answers
Answer:
390 pennies that susan is holding
Answer:
3/4x-280=x/2
-3/4x-280=x/2 find the common factor for 3/4x-280/1 which is 4 3/4x-280/1 3xby
Help with number 4 please
Answers
48 boards
Step-by-step explanation:
length of a board = 5½ in = 11/2
Total length should be covered = 22 ft = 264 in (1ft = 12in)
total boards needed = 264 ÷11/2
= 264 × 2/11
= 24 ×2
= 48 boards
Please mark my answer the brainliest and rate me 5 star and follow meplease please please please please please
25 percent of what is 38?
Answers
Answer: 152
Step-by-step explanation:
Let the number = x.
Therefore, x*25% = 38
25% as a decimal is 0.25.
So, 0.25x = 38
We can divide both sides by 0.25:
x = 152
Question: find an equation of a parabola that satisfies the given condition
Problem: horizontal axis; vertex (-1,2) passing through (2,3)
Answers
Explanation:
Given
Vertex (-1,2) and passes (2,3)
The General equation of a parabola is
y = a(x - h)^2 + k
So, y = a(x+1)^2 +2
still now we need to find (a)
by the second point (2,3)
we have 3=a(2+1)^2 + 2
3= 9a +2
a = 1/9
Therefore the final answer is
y = 1/9(x + 1)^2 +2
Good Luck.
Do not know what the problem is meaning
Answers
Answer:
its b
Step-by-step explanation:
Use the circle below to answer the question.
Q
R
680
Р
C
S
The Circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?
Answers
The measure of angle QPS in circle C is 112°
What is a circle?
A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.
From the circle:
PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°
∠PQR + 68 = 180
∠PQR = 112°
Also, PS = QR (from the endpoint of the diameter), hence:
∠QPS = ∠PQR = 112°
The measure of angle QPS in circle C is 112°
Find out more on circle at: https://brainly.com/question/24375372
Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.
Answers
Step-by-step explanation:
Given is the 30°x60°x90° right triangle.
The ratio of its sides is:
1 : √3 : 2Find the missing sides using the ratio above:
x = 2*2√6 = 4√6y = 2√6*√3 = 2*3√2 = 6√2Answer:
[tex]\sf x = 4\sqrt{6}[/tex] and [tex]\sf y = 6\sqrt{2}[/tex]
step-by-step explanation:
given:
opposite length: yadjacent length: 2√6hypotenuse length: xusing tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\sf tan(60)= \dfrac{y}{2\sqrt{6} }[/tex]
[tex]\sf tan(60)*{2\sqrt{6}= y[/tex]
[tex]\sf y = 6\sqrt{2}[/tex]
using cosine rule:
[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]
[tex]\sf cos(60)= \dfrac{2\sqrt{6} }{x}[/tex]
[tex]\sf x= \dfrac{2\sqrt{6} }{cos(60)}[/tex]
[tex]\sf x = 4\sqrt{6}[/tex]
You invest 1,000 in one account and 4,000 in another, both accounts have the same interest rate over the same amount of time. How will the interest earned compare?
Answers
Answer:
the $4000 WILL EARN 4 TIMES THE AMOUNT OF INTEREST.
Step-by-step explanation:
If both investments have same interest they will grow in the same proportion that the initial amount have.
Lily is going to invest in an account paying an interest rate of 5.6% compounded continuously. How much would Lily need to invest, to the nearest cent, for the value of the account to reach $78,000 in 9 years?
Answers
Paul needs to pay two separate bills each month for one ear. He uses the expression 12(4 + 7) to represent this situation. Which
expression also represents Pauls monthly bills for one year? Pls help
Answers
Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually. What is the value of this annuity
due? (Please use the following provided Table.) (Round your answer to the nearest cent.)
Annuity due
Answers
Answer:
the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years. A. $334,321.00 B. $43,068.93 C. $22,180.50 D. $41,814.50
The amount of the annuity due in 23 years with 8% of interest compounded semiannually is $62053.35.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually.
Then the amount of the annuity due will be
[tex]\rm A = 1800 (1 + 0.08)^{2\times 23}\\\\A = 1800 (1.08)^{46}\\\\A = 1800 \times 34.474\\\\A = 62053.35[/tex]
More about the compound interest link is given below.
https://brainly.com/question/25857212
Francisco’s investment firm just opened and is hiring new stockbrokers. In the first month, he received a total of 345 applications. If he hired 1 out of every 15 applicants, how many people did he hire?
Answers
Area + circumference of circle
Answers
Answer:
153.86 cm² and 43.96
Step-by-step explanation:
The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)
(75*100) / 250 with steps please
Answers
Answer:
30
Step-by-step explanation:
solution
= (75*100)/250
= (7500)/250
= 7500/250
=30
Hello can someone please answer this question i will mark you the Brainliest
Answers
Answer:
155 cm2
Step-by-step explanation:
ACTUALLY GUVW ME THE ANSWERS I NEED!!!!
A diver is standing on a platform 24 ft above a pool. He jumps from the platform with an initial
upward velocity of 8 ft/s. Using the formula, h(t) = -16t2 + vt + s, where h is his height
above the water, t is the time, v is his starting upward velocity, and s is his starting height.
A) After how long will the diver reach its maximum height?
B) What is the maximum height the diver will reach?
Answers
Answer:
A) t = 0.25 s
B) h = 25 m
Step-by-step explanation:
Given equation: [tex]h(t) = -16t^2 + vt + s[/tex]
where:
h = height above water (in feet)t = time (in seconds)v = initial upwards velocity = 8 ft/ss = initial height = 24 ftA) To find the value of t when h is at its maximum, differentiate the equation with respect to t:
[tex]\implies h'(t)=-32t+v[/tex]
Substitute given value of v:
[tex]\implies h'(t)=-32t+8[/tex]
Set to zero and solve for t:
[tex]\implies -32t+8=0[/tex]
[tex]\implies t=0.25 \textsf{s}[/tex]
B) Substitute the found value for t into the equation and solve for h:
[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]
[tex]\implies h(0.25) = -1 + 2 + 24[/tex]
[tex]\implies h(0.25) =25 \textsf{ m}[/tex]
NO LINKS!!
Finding the Width of a Gorge: Find the distance from A to C across the gorge illustrated in the figure.
Answers
Answer:
70.02ft≈70ft
Step-by-step explanation:
Here,
∠ABC=35°
BC=100ft
AC=?
Now,
[tex]tanB=\frac{AC}{BC} \\\\[/tex][tex]tanB=\frac{AC}{BC} \\\\tan35=\frac{AC}{100ft} \\\\0.7002=\frac{AC}{100ft} \\\\100ft*0.7002=AC\\\\AC=70.02ft[/tex]
Because tan=p/b
[tex]\\ \rm\rightarrowtail cot35=\dfrac{Base}{Perpendicular}[/tex]
[tex]\\ \rm\rightarrowtail cot35=\dfrac{BC}{AC}[/tex]
[tex]\\ \rm\rightarrowtail cot35=\dfrac{100}{AC}[/tex]
[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.43}[/tex]
[tex]\\ \rm\rightarrowtail AC=69.93ft[/tex]
Find the measure of the angle marked with a guestion mark using inverse trig
functions. Round your answer to the nearest degree, Enter the number only,
Answers
Answer:
37°
Step-by-step explanation:
1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)
2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse
3. Substitute in the values: cos (?) = 4 ÷ 5
4. Simplify: cos (?) = 0.8
5. Type this into a calculator to find ?: [tex]cos^{-1}(0.8)[/tex]
? = 36.86989... ≈ 37°
Hope this helps!
Every morning Jessica drinks one fifth of a quart of orange juice how many mornings would Jaze have oranges for if she only has a total of one and 4/5 quarts of orange juice
Answers
Answer:
9 more mornings Jessica can drink orange juice
Step-by-step explanation:
1 4/5 = 1/5x
9/5 = 1/5 (divided below)
1/5 1/5
9/5 divided 1/5 = x
x = 9/5 x 5/1 = 45/5
45/5 divide by 5 = 9/1
long division and you get 9
hope this helps!
Answer:
The answer is 9
Step-by-step explanation:
a butterfly can fly 82 feet in four seconds and a dragonfly 50 in two seconds. which is faster
Answers
Answer:
The dragonfly is 4.5 feet per second faster.
Step-by-step explanation:
whats a^2=4/25 in square root form
Answers
Answer:
a = ± [tex]\sqrt{\frac{4}{25} }[/tex]
Step-by-step explanation:
[tex]a^{2} =\frac{4}{25}[/tex]
[tex]\sqrt{a^{2} } =\sqrt{\frac{4}{25} } \\|a|=\sqrt{\frac{4}{25} \\[/tex]
a = ± [tex]\sqrt{\frac{4}{25} }[/tex]
Nonsense will be reported!!
With solution.
Answers
Hopefully, I have read the problems right. The small writing is slightly blurry.
[1] Both 1 and 2 are equal to 70°
Angle 1 and Angle 2 will be equal to each other because they are vertical angles.
A straight line is 180°, so 180° - 110° = 70°
[2] Both 3 and 4 are equal to 99°
Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.
We can solve for the other two angles by putting them equal to each other since they are also vertical angles.
3x - 15° = 2x + 17°
3x = 2x + 32°
x = 32°
-
2x + 17°
2(32)° + 17°
64° + 17°
81°
Also again, a straight line is 180°. 180° - 81° = 99°
[3] This one has too many subparts for Brainly.
As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.
6849 rounded to the nearest 100
Answers
Hope this helps!