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baherus [9]
2 years ago
9

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. one time while inside a volcano, he heard some rum

bling, so he decided to climb up out of there as quickly as he could. he climbed up at a rate of 444 meters per second. after 333 seconds, he was 131313 meters below the edge of the volcano. how far was zane below the edge of the volcano when he started climbing?
Mathematics
1 answer:
defon2 years ago
5 0
From the given scenario is this particular item, the equation that can be derived for the distance traveled after x seconds is,
                            y = d₀ + (4)x
Substituting the known values x and y in order to solve for d₀ will give us an answer of,
                           13 = d₀ + 4(3)
                                    d₀ = 1 
Thus, the answer is 1 m. 
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The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cos
Mkey [24]
Break even is the value of t where revenue=cost or R(t)=C(t)

set equal each other

-50t^2+300t=600-50t
multiply both sides by -1
50t^2-300t=50t-600
divide both sides by 50
t^2-6t=t-12
minus t-12 from both sides
t^2-7t+12=0
factor
(t-4)(t-3)=0
set each to zero
t-4=0
t=4

t-3=0
t=3
the cost is $3 or $4

it will first break even at t=3$
7 0
2 years ago
Read 2 more answers
What is the value of the 19th term in the sequence -1, -5, -9, ...?
Ivanshal [37]
-5 -(-1) = -5+1= -4
and
-9 -(-5) = -9+5 = -4

we observe that the number are in AP

of the AP -
ist term = -1
common difference = -4
19th term = -1 + (19-1)(-4)= -1 -72 = -73
_________________________

the correct answer = B
8 0
2 years ago
Read 2 more answers
The Parker family drove a total of 180 miles on the road trip. This distance is 1.5 times the distance they drove on the first d
Veronika [31]

Parker family drove 120 miles on the first day

Step-by-step explanation:

Given:

Total miles driven on the road trip= 180 miles

solution:

Lets assume the distance drove on the first day is x

The total distance covered on the road trip is 180 miles.  so,

(x) *1.5 = 180

x=\frac{180}{1.5}

Hence, x = 120.

The distance travelled on the first day is 120 miles.

4 0
2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

Sample mean    μ =  448

Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

7 0
2 years ago
The graphs below have the same shape. What is the equation of the blue<br> graph?
Zigmanuir [339]
A. Fasho lil homey pop hold it down
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