Answer:
Part A. [tex]h=\frac{V}{\pi r^2}[/tex]
Part B. h= 4cm
Step-by-step explanation:
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.
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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
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?
Find the area of the triangle.
A. 19.2 yd²
B. 9.3 yd²
C. 8.5 yd²
D. 17.1 yd²
Answer:
8.5 yd sq.
Step-by-step explanation:
[tex]area \: of \: triangle = \frac{1}{2} \times \sin(156) \times 6 \times 7 \\ = 0.41 \times 21 \\ = 8.5[/tex]
I need help solving this question pleeeeasse
Answer:
Step-by-step explanation:
I’m not what are you talking about
What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48
Answer:
A
Step-by-step explanation:
8 and 9 can go in 72.
Look for the LCM of 72
Answer:
72
Step-by-step explanation:
72 has both 8 and 9 as its factors from the alternatives
Apart from 72,
the available options does not have both 8 and 9 being its factors.
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
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
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
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:
formula if cos2A in terms of multiple angle
Answer:
1/sec is rhe answer of 2 cos A
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
evaluate the expression when b=5
Answer:
8. 10
11. 10
Step-by-step explanation:
put 5 instead of b
8. (15 - b)
= (15-5)
= (10)
11. b +b
= 5 +5
= 10
a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?
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
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=7Who ever gets it correctly gets 100 points
Answer:
A,C,D
Step-by-step explanation:
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.
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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
Round this number to the nearest 100,000
927,545
Answer:
900,000
Step-by-step explanation:
rounding is quite simple, the number 927,545, like all numbers, has different number places/values. the number 9 is in the 100,000th place and to round you look at the number in the place to the right of it which is 2. the number 2 is is less than 5 so it can't raise the number 9 to a ten. because of this, it reduces all of the other numbers to 0. leaving you with the number 900,000
Help!!!!!!!!!!!!!!
2x+3=x-7
Answer:
x = - 10Step-by-step explanation:
2x+3=x-7
=> 2x - x = - 7 - 3
=> x = -10 (Ans)
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
HLP HLP HLP HLP 10 10 10
Answer:
B. [tex]4^{6}[/tex] ÷ [tex]5^{6}[/tex]
Step-by-step explanation:
its a formula
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
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
Please help
Find the equation to the line below.
1 1
y = [? ]x +
[ ]
Can anyone help please?
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].
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.
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%.