Answer:
The slope is 4/5
Step-by-step explanation:
The slope in a y=mx+b equation is always in front of the x. Remember that! :)
Step-by-step explanation:
4/5.
this equation is slope in intercept form following the template of y=mx+b .m is your slope and by looking at the corresponding part tell you 4/5 is the slope
26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8
Answer:
I = $360
Step-by-step explanation:
Calculate the interest I using
I = PRN
with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then
I = $1500 × 0.03 × 8 = $360
Solve for x: 5x + 2 = 4x − 9.
7
−7
11
−11
Answer:
x= -11
Step-by-step explanation:
5x+2=4x-9 subtract 2 from both sides
5x+2-2=4x-9-2
5x=4x-11 subtract 4x from both sides
5x-4x=4x-4x-11
x= -11
hope that helps>3
find dy/dx x=a(cost +sint) , y=a(sint-cost)
Answer:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].
Step-by-step explanation:
The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)
Make use of the fact that:
[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].
Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:
[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].
[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].
[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].
Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].
Please help
Find the equation to the line below.
1 1
y = [? ]x +
[ ]
Answer the second question. (pls )
Answer:
How about c = 15x + 10x?
Step-by-step explanation:
Answer:
i aint too good at this stuff but you can put g=15 and s=10 for the price of just the goby fish and just the shrimp hope this mighta helped
Step-by-step explanation:
Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?
Answer:
6 buses
Step-by-step explanation:
i believe you just have to divide 380/68
then it'll give you 5.5 and then have to round to the nearest integer
i need help this question?
5x2 + 7% -2x2 - 10x + 5
Answer:
[tex] \frac{1107}{100} - 10x[/tex]
Step-by-step explanation:
[tex]5x2 + 7\% - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + 7\% - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + \frac{7}{100} - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + \frac{7}{100} - 4 - 10x + 5[/tex]
➡️ [tex]11 + \frac{7}{100} - 10x[/tex]
➡️ [tex] \frac{1107}{100} - 10x[/tex]
An artillery shell leaves a cannon at a speed of 400 meters per second. What is its speed in miles per hour
The speed is 894.775 mile per hour.
What is the speed?The certain distance travelled in certain time is speed.
Speed = distance/time.
How to calculate the speed in mile per hour?1 meter per second = 2.23694 mile per hour
Therefore, 400 meter per second = (400*2.23694) mile per hour
=894.775.
Learn more about speed here :
https://brainly.in/question/27709746
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50 Points to correct answer!!!
what is the average rate of change from 2 to 9 of the function represented by the graph?
Answer:
-3/7
Step-by-step explanation:
It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).
We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.
We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.
The slope of a line is calculated by finding the ratio of the change of y to the change of x.
(-1-2)/(9-2)
(-3)/(7)
-3/7
If the area of the square above is 144 what is the value of x
Answer:
It should be 12, but x wasn't defined. My condition could be wrong though.
If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
We have given the area of the square above is 144.
Let x be the side of the given square.
The area of a square = side x side
[tex]144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12[/tex]
Hence, the length of the side is 12 units.
Learn more about the area ;
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There are 21 red apples and 18 green apples. What is the ratio of green to red apples?
Answer:
A possible can be 7 red apples for every 6 green apples.
Step-by-step explanation:
21 and 18 have a common factor of 3. 21/3 =7 and 18/3=6. So the answer can be 7 red apples for every 6 green apples. Hope this helps
Help!!!!!!!!!!!!!!
2x+3=x-7
Answer:
x = - 10Step-by-step explanation:
2x+3=x-7
=> 2x - x = - 7 - 3
=> x = -10 (Ans)
There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.
9514 1404 393
Answer:
P = 4z +5
Step-by-step explanation:
The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:
P = z +(z +5) +2z
P = 4z +5
Find the place value of 7 in 374596
Answer:
It is tens
Step-by-step explanation:
3 » ones
[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]
4 » hundreds
5 » thousands
9 » ten thousands
6 » hundred thousands
Which of the following is the best example of kinetic energy?
A book sitting on a bookshelf
A golfer preparing to putt the ball
A race car in position at the start line
A satellite orbiting the Earth
Answer:
i had this question a little while back and the right answer was
d. a satellite orbiting the Earth.
(:
a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?
What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y
[tex]\\ \sf\longmapsto y=2+3x+5+2x[/tex]
[tex]\\ \sf\longmapsto y=3x+2x+2+5[/tex]
[tex]\\ \sf\longmapsto y=5x+7[/tex]
Hence
m=5,b=7If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?
Answer:
8 zeroes
Step-by-step explanation:
8.2*10^9=8200000000 which has 8 zeroes
Jenna has
131
131131 dog biscuits. She wants to give them as gifts to each of her
4
44 poodles.
Hi! I'm happy to help!
To solve for how many biscuits each poodle gets, we have to split or divide the amount of biscuits by the amount of poodles. (We will use division)
131,131,131÷444
295,340.3851... rounded to 295,340
So, each poodle will receive 295,340 dog biscuits. (A LOT)
I hope this was helpful, keep learning! :D
0.2 kg
2m
9.8g
Pls help quick
I need help solving this question pleeeeasse
Answer:
Step-by-step explanation:
I’m not what are you talking about
formula if cos2A in terms of multiple angle
Answer:
1/sec is rhe answer of 2 cos A
Over a period of 1 1/4
-
years
5/
16
in. of tread has worn off a tire. What was the average tread wear per year?
Simplify
5(x + 8) - 2x = 7(x + 10)
Answer:
-15/2
Step-by-step explanation:
5(x + 8) - 2x = 7(x + 10)
=> 5x + 40 - 2x = 7x + 70
=> 3x + 40 = 7x + 70
=> 3x - 7x = 30
=> -4x = 30
=> x = -30/4
=> x = -15/2
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.
Step-by-step explanation:
x-1=0
x=1
subtitute value of x
p(x)=x^3+ax^2+bx
p(1)=(1)^3+a(1)^2+b(1)
p(1)=1+a+b
as p(x) =6. (given)
1+a+b=6
a+b=6-1
a+b=5
Who ever gets it correctly gets 100 points
Answer:
A,C,D
Step-by-step explanation:
Alec wants to purchase a new phone that costs $159.00. His current average net pay is $167.91 each week. What percent of his weekly net pay does Alec need to save each week, for the next six weeks, to reach his goal? Round to the nearest hundredth. (1 point)
1.58%
9.09%
15.78%
9514 1404 393
Answer:
15.78%
Step-by-step explanation:
Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...
159.00 = 6(x(167.91))
x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%
Alec will need to save 15.78% of his pay.
_____
Additional comment
We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.
Can anyone help please?
32 + 7 + 2 22 + 192 + 24 + 8 22 + 3 + 2 − 22 − 7 − 15 ÷ 2 − 2
Answer:
So simple question ask some complicated na yrr
Answer:
1265.5
is that right
i think that question is wrong