Answer:
3/8
Step-by-step explanation:
formula if cos2A in terms of multiple angle
Answer:
1/sec is rhe answer of 2 cos A
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 = $360
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?
Answer:
8 zeroes
Step-by-step explanation:
8.2*10^9=8200000000 which has 8 zeroes
find dy/dx x=a(cost +sint) , y=a(sint-cost)
Answer:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].
Step-by-step explanation:
The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)
Make use of the fact that:
[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\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].
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 distance between each pair of points if necessary round to the nearest tenth.
17. A(6,7),B(-1,7)
18. C(5,-5),D(5,3)
19. E(-1,0),F(12,0)
20. Q(2,-6),T(10,0)
21. H(20,-4),I(-4,3)
22. J(-5,5),K(-3,-2)
I will give brainliest please help and show work
Step-by-step explanation:
q17
[tex]d = \sqrt{ {(7 - 7)}^{2} + {(6 - ( - 1))}^{2} } = 7[/tex]
q18
[tex]d = \sqrt{ {(5 - 5)}^{2} + {(3 - ( - 5))}^{2} } = 8[/tex]
q19
[tex]d = \sqrt{ {(12 - ( - 1))}^{2} + {(0 - 0)}^{2} } = 12[/tex]
q20
[tex]d = \sqrt{ {(10 - 2)}^{2} + {(0 - ( - 6))}^{2} } = 10[/tex]
q21
[tex]d = \sqrt{ {(3 - ( - 4))}^{2} + {(( - 4) - 20)}^{2} } = 25[/tex]
q22
[tex]d = \sqrt{ {(( - 3) - ( - 5))}^{2} + {(( - 2) - 5)}^{2} } = 7.1[/tex]
Can anyone help please?
Which statement is true regarding the graphed functions?
euf
12
40
B
4
914
2
1 2
3
4.
5
B
X
I f 5 4 3 2 12)
-4
B
be
10
2
141
f(4) = g(4)
f44) = (1-2)
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%.
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
Who ever gets it correctly gets 100 points
Answer:
A,C,D
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
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
:b. 5/8
c. 6/8
d. 1/8
Answer:
B. [tex]\frac{5}{8}[/tex]
Explanation:
Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.
One positive number is 2 more than twice another. If their product is 1012, find the numbers.
Answer:
46 and 22
Step-by-step explanation:
22 x 2 = 44
44 is 2 less than 46
46 x 22 = 1012
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?
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]
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
Emily Bought the Following items for Christmas gifts for her Friends: 5 Hannah Montana calendars, 3 DVDs, 2 books, 1 Monopoly game, 8 CDs, 1 Box of Candy, and 2 gift Cards to Walmart.What is the Ratio of DVDs to the total number of Gifts.
Answer:
Ig its 22:3
Step-by-step explanation:
First we add all the gifts and put it in the ratio and the other is 3 dvds
Please help
Find the equation to the line below.
1 1
y = [? ]x +
[ ]
a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?
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.
(:
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 ;
https://brainly.com/question/15843335
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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
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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what is the answer to this problem (40+35+2(30+25))/5
Answer:
37
Step-by-step explanation:
Answ 925
Step-by-step explanation:
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:
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
Help!!!!!!!!!!!!!!
2x+3=x-7
Answer:
x = - 10Step-by-step explanation:
2x+3=x-7
=> 2x - x = - 7 - 3
=> x = -10 (Ans)
0.2 kg
2m
9.8g
Pls help quick