Answer:
r≤0
Step-by-step explanation:
if the range is s≤0, (that means the value of s is all negative integers &0) to find the domain we have to replace that some negative integers &0.
we can replace some values of s as the following
s=‒4(0)^2 s=‒4(‒1)^2
=‒4(0) =‒4(1)
=0 =‒4
s=‒4(‒2)^2 s=‒4(‒3)^2
=‒4(4) =‒4(9)
=‒16 =‒36
so we can understand easly that the domain is negative integer&0,it can't be positive because the square of any integer is positive.
therefore the answer is r≤0
i think &i hope it is clear.
Answer:
Sometimes true
Step-by-step explanation:
There is only one x value that satisfies the equation.
4x + 1 = 3
4x = 2
x = 1/2
Answer:
<u>65.4 cubic inches</u>
Step-by-step explanation:
Formula for the volume of a cone :
<u><em>Volume (cone) = 1/3πr²h</em></u>
<u><em /></u>
=============================================================
Given :
⇒ diameter = 5 in. → radius = <u>2.5 in.</u>
⇒ height = <u>10 in.</u>
<u />
===========================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (2.5)² × 10
⇒ Volume (cone) = 62.5π/3
⇒ Volume (cone) = <u>65.4 cubic inches</u>
Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
