Answer:
a) Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) After 19 hours, Snow dome will have more snow.
Step-by-step explanation:
Given that:
Initial snow at Snow Dome Ski Resort = 65 inches
Snowing rate at Snow Dome Ski Resort = 1 inch per hour
Initial snow at Mt. Winterpark Ski Resort = 74 inches
Initial snow at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}[/tex] inch per hour
a) To write equations that show amount of snow at each resort.
Let the time in hours be represented by [tex]t[/tex].
Snow increased in [tex]t[/tex] hours by snowing at Snow Dome Ski Resort = [tex]1\times t = t[/tex] inches per hour
Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour
Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) Time at which Snow Dome has more snow.
Using the above equations, we can write the following inequality:
[tex]65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours[/tex]
After 18 hours have passed, they will have equal amount of snow.
After 19 hours, Snow dome will have more snow.
What is the slope of function 3x-5y=17
Answer:
y=5/3x-3.4
Step-by-step explanation:
slope is 5/3
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
In slope-intercept form of linear equation y = mx + b , "m" is the slope
3x - 5y = 17
- 5y = - 3x + 17
y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{17}{5}[/tex]
m = [tex]\frac{3}{5}[/tex]
help with number 1 & number 2 please !
Step-by-step explanation:
2vt= (ht²/2) - 2c - r
v= ((ht²/2) -2c -r) / 2t
v= ht/4 - c/t - r/2t
Eighteen less than 9 times a number is the same as 14 more than the number.
Comply the equation
Answer:
x=4
Step-by-step explanation:
9x-18 = x+14
9×-× = 14+18
8× = 32
X = 4
Consider the following hypothesis test:
H0: µ = 20
Ha: µ < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals).
b. What is the p-value (to 3 decimals)?
c. Using a = .05, can it be concluded that the population mean is less than 20?
d. Using a = .05, what is the critical value for the test statistic?
e. State the rejection rule: Reject H0 if z is the critical value.
f. Using a = .05, can it be concluded that the population mean is less than 20?
Answer:
a
[tex]z = - 2.12[/tex]
b
[tex]p- value = 0.017003[/tex]
c
There is sufficient evidence to show that the population mean is less than 20
d
[tex]z_{0.05} =- 1.645[/tex]
e
The decision rule is
Reject the null hypothesis
f
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_o: \mu = 20[/tex]
The alternative hypothesis is Ha: µ < 20
The sample size is n = 50
The sample mean is [tex]\= x = 19.4[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population standard deviation is [tex]\sigma = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{19.4 - 20 }{ \frac{2}{ \sqrt{50 } } }[/tex]
=> [tex]z = - 2.12[/tex]
From the z table the area under the normal curve to the left corresponding to -2.12 is
[tex](P< -2.12) = 0.017003[/tex]
Generally the p-value is
[tex]p- value = 0.017003[/tex]
From values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Generally form the normal distribution table the critical value at a level of significance of [tex]\alpha = 0.05[/tex] is
[tex]z_{0.05} =- 1.645[/tex]
Generally given that [tex]z < z_{0.05}[/tex]
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
BLINKS!! WHAT ALBUM SHOULD I GET
Theres more but not all fit in one pic
Answer: Idc u pick
Step-by-step explanation:
Answer:
square up
Step-by-step explanation:
its the best (blink fan for 3 years)
AB = BC
5(2x + 2).
3(3x - 1)
Find x:
2
4
-10
16
None of the other answers are correct
Answer:
Step-by-step explanation:
holdup im gonna help
Answer:
x = 2
Step-by-step explanation:
2[3(3x - 1)] = 5(2x + 2)
18x - 6 = 10x + 10
8x = 16
x = 2
Celeste wants to have her hair cut and
permed and also go to lunch. She knows
she will need $95. The perm costs twice
as much as her haircut and she needs $5
for lunch.
How much does the perm cost?
Answer:
the perm will cost $60
Step-by-step explanation:
take away $5 from the total because Its a set amount that's already known
which leaves 90 which if you take 30 away you are left with 60 its twice the amount of the haircut, I didn't really do any math techniques so I'm sorry that my explanation is weird, I hope this helped
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes. What is the snails rate in Minutes per Meters
Answer:
Step-by-step explanation
Given
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
Solution
So
the snails rate =11/8÷11/2
= 1/4Minutes per Meters
So the answer is 1/4 minute per meter
It is the quantity of an amount of something at a rate of one of another quantity.
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 60 minutes.
1 mile in 20 minutes.
We have,
Snail travels:
[tex]1\frac{1}{8}[/tex] meters = [tex]1\frac{1}{2}[/tex] minutes
9/8 meters = 3/2 minutes
Multiplying 8/9 on both sides.
1 meters = 8/9 x 3/2 minutes
1 meter = 4/3 minutes
This means that the snail's rate in minutes per meter is 4/3 minutes.
Thus,
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
Interest paid on £2500 at an interest at an interest rate of 15%
Answer:
£375Step-by-step explanation:
Amount = £2500Interest rate = 15%Interest
£2500*15/100 = £375What is the rate of change for the line that goes through the points (8,14) and (11, 19.25)
Answer:
1.75Step-by-step explanation:
The rate of change for the line that goes through the points (8,14) and (11, 19.25) is known as the slope expressed as;
slope m = y2-y1/x2-x1
Substitute the coordinate pairs into the formula;
m = 19.25-14/11-8
m = 5.25/3
m = 1.75
Hence the rate of change for the line is 1.75.
Please help it would mean alot!
Points and brinliast!
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
PLEASE ANSWER ME!
What is the result when the number 65 is increased by 53%?
Answer:
The result when 65 is increased by 53% is 34.45
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
34.45
Step-by-step explanation:
i hope you get it right
Can you please give me more answers?
Answer:
more answers on wht
Step-by-step explanation:
Answer:
wdym more answers ? there isn't a question
Step-by-step explanation:
which one is greater 140% or 0.14
1
After becoming completely blind at the age of
sixty-four, what did Leonhard Euler do?
Answer:
his remarkable mathematical flow continued without interruption – in fact, it increased.
Step-by-step explanation:
Find the quotient. 3,482 ÷ 9 = *
Answer:
386.8
Step-by-step explanation:
pretty sure thats it
Answer:
386.8888 .. ...
Step-by-step explanation:
3482/9
Calculate Valume of cones and spheres
Answer:
v = 1808,64cm³
Step-by-step explanation:
big cone:
a = pi.r²
a = 3,14x12²
a = 452,16cm²
v = a.h/3
v = 452,16x12/3
v = 1808,64cm³ (that's a three)
you got the point, now you can do the others... kinda of
A rectangle a photo with dimension 3 inches wide by 4 inches long is enlarged to a length of 12 inches what is the width of the enlarged print
Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.
The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?
|–18| degrees in a negative direction from 9 degrees
|–18| degrees in a positive direction from 9 degrees
|–9| degrees in a negative direction from 9 degrees
|–9| degrees in a positive direction from 9 degrees
Answer:
b
Step-by-step explanation:
absoulute value is never negative.
5
y=2x+5y, equals, 2, x, plus, 5
Complete the missing value in the solution to the equation.
(
2
,
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = f(x) = 2x + 5[/tex]
[tex]f(2) = 2(2) + 5[/tex]
[tex]f(2) = 4 + 5[/tex]
[tex]f(2) = 9[/tex]
Thus ;
[tex]( \: 2 \: , \: 9 \: )[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
9
Step-by-step explanation:
The purchase price of a camcorder is $818 what is the total price if the sales tax rate is 8.5%
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
Set up an equation and solve for x
Answer:
x=22
Step-by-step explanation:
3x+3+27+x+3+2x+18=180
6x+48=180
6x=132
x=22
What is the slope of line m?
Answer:
Slope= -0.5
Step-by-step explanation:
Answer:
1/2x
Step-by-step explanation:
You go down one step and run 2 steps
us
Figure ABCD is a kite. Find the
value of x.
B
X + 20
X + 10
А
С
X = [?]
Enter
Answer:
x = 30
Step-by-step explanation:
Since this is a right triangle,
90 = (x + 20) + (x + 10)
90 = x + x + 20 + 10
90 = 2x + 30
90 - 30 = 2x
60 = 2x
60/2 = 2x/2
30 = x
Check:
x + 20
30 + 20 = 50
x + 10
30 + 10 = 40
50 + 40 = 90
Hope this helps!
Is the sum of any 2 consecutive prime numbers also prime?
Answer:
Yes! (it’s making me write 20 letters so yes is ur answer ok cool)
Options:
- does not
- does
Answer: does not
Step-by-step explanation: I think a linear equation is y=mx+b
help please 20 points to who answers not 10 points 20
Answer:
b c and a
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].
Answer:
[tex] y = 3x - 2 [/tex]
Step-by-step explanation:
The equation that describes how x
and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]
Where, m = slope, and b = y-intercept.
Let's find the value of m and b using the table of values given.
Using two of the pairs given, (-2, -8) and (-1, -5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]
Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.
Thus:
[tex] -8 = (3)(-2) + b [/tex]
[tex] -8 = -6 + b [/tex]
Add 6 to both sides
[tex] -8 + 6 = b [/tex]
[tex] -2 = b [/tex]
Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].
The equation that describes how x
and y are related would be:
[tex] y = 3x - 2 [/tex]
three less than the total of a number and
nine
Answer:
(x+9)-3
Step-by-step explanation: