Answer:
C. a 70-percent decrease every hourStep-by-step explanation:
Given function:
f(t) = 2.0*(0.3)^tThis is exponential decay because:
0.3 = 1 - 0.7 = 100% - 70%and it represents 70% decrease every hour (if it is time in hours)
Correct choice is C
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
Help please thank you very much
Answer: [tex]2\sqrt{7}[/tex]
When writing this on a keyboard, you would say 2*sqrt(7)
========================================================
Explanation:
The formula we'll use is
A = 0.5*p*q*sin(R)
where R is the angle between sides p and q.
The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.
Plug in the given values and simplify to get the following
A = 0.5*p*q*sin(R)
A = 0.5*(x+4)*x*sin(60)
A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle
A = 0.25*(x^2+4x)*sqrt(3)
A = (0.25x^2+x)*sqrt(3)
Set this equal to the given area of A = sqrt(27) and solve for x
A = (0.25x^2+x)*sqrt(3)
(0.25x^2+x)*sqrt(3) = A
(0.25x^2+x)*sqrt(3) = sqrt(27)
(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom
0.25x^2+x = 3
(1/4)x^2+x = 3
x^2+4x = 12 .... see note2 at the very bottom
x^2+4x-12 = 0
(x+6)(x-2) = 0
x+6 = 0 or x-2 = 0
x = -6 or x = 2
A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.
Since x = 2, this means we have the following side lengths so far
p = RQ = x+4 = 2+4 = 6q = PR = x = 2Now apply the law of cosines to find the missing side.
r^2 = p^2 + q^2 - 2*p*q*cos(R)
r^2 = 6^2 + 2^2 - 2*6*2*cos(60)
r^2 = 36 + 4 - 24*1/2
r^2 = 40 - 12
r^2 = 28
r = sqrt(28)
r = sqrt(4*7)
r = 2*sqrt(7)
Side PQ is exactly 2*sqrt(7) units long
This approximates to 2*sqrt(7) = 5.2915
------------------------------------
Footnotes:
Note1: sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)Note2: I multiplied both sides by 4 to clear out the fraction13/10+2/100=?/100 do you guys know what it os
Answer:
132/100 or 1.32
Step-by-step explanation:
13/10=130/100
130/100+2/100=132/100
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
factorise and solving
Answer:
a. (x+2)(x+3)
b. x = -2
x = -3
Step-by-step explanation:
a.
split 5x into 2x + 3x
then, you get
x² + 2x + 3x + 6
Split into (x² + 2x) + (3x + 6)
factorize individual groups
x (x + 2) + 3 (x + 2)
combine x + 3
your final answer is
(x + 2) (x + 3)
b.
if (x + 2) (x + 3) = 0
then (x+2) = 0 and (x+3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Answer:
A)(x+2)(x+3)
B)(x + 2) (x + 3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Step-by-step explanation:
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results: Day Mon Tue Wed Thu Fri Sat Sun # of sick days 22 11 16 17 21 28 25 They want to perform a x? goodness-of-fit test to determine if these results suggest that employees were more likely to take sick days on certain days. What is the expected count of sick days taken on Saturday? You may round your answer to the nearest hundredth. Expected:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
Answer:
20
Step-by-step explanation:
The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466
Answer:
2) 0.0914
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
PLEASE HELP I WILL AWARD BRAINLY
Eight pipes were turned on to fill the pool in 36 hours. Then, after 12 hours some of the pipes were turned off, and the rest of the pool was filled in 32 hours. How many pipes were turned off?
Answer:
2 pipes
Step-by-step explanation:
So.. I'm not too sure either, but I'll try to solve it.
Equation: 4x=8 when x=number of pipes turned off after 12 hours
Since there were initially 8 pipes and there are 4 hours between 36 planned hours to fill the whole pool and 32 actual hours passed to fill the rest of the pool, you multiply them.
Which integer(s) make the statement true? |x| = 5
A: 5
B: -5
C: 5 and -5
D:0
For 100 Points.
List the domain and range for the relation below: (The picture is down below)
No links or I will report
Answer:
I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.
Hope I helped :)
As a fraction in simplest terms, what would you multiply the first number by to get the second
first number - 26
second number -58
26•(blank)=58
please help
Answer:
2
Step-by-step explanation:
someone help please !
Answer:
x = 11.5
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 8^2 = 14^2
x^2 + 64 = 196
x^2 = 196 - 64
x^2 = 132
x = [tex]\sqrt{132}[/tex]
x = [tex]2\sqrt{33}[/tex]
x = 11.5
Answer:
11.5
Step-by-step explanation:
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 14^2
64 + b^2 = 196
-64 -64
(radical) b^2 = (radical) 132
b = 11.5
I need to turn this in by 10:00 plz help thank you :)
Answer:
11 is one 0f them
Step-by-step explanation:
11x11
Which of the following is a geometric sequence?
Answer: D
Step-by-step explanation:
As you can see it is switch from -3 to 3.
Why?
Because each time it is being multiplied by -1 so it switches from negative to positive and geometric sequences involve multiplication (and division so technically it could be dividing by -1).
Find the slope of the line and sketch its graph y=3
Answer:
0
Step-by-step explanation:
The slope is 0 as there is no x variable within the equation.
recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.
to graph this simply draw a horizontl line that crosses (0,3).
The function graphed below is increasing over the interval x = ∈ (-∞,∞)
True ******
False
Answer:
flase
Step-by-step explanation:
US
Find the circumference of this circle
using 3 for 7
C [?]
1
C = 27
Answer:
[tex]6.283185307[/tex]
Step-by-step explanation:
[tex]Formula - C = 2\pi r[/tex]
[tex]Formula = 2*\pi*1 = 6.283185307[/tex]
Answer:
C≈6
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=1 thus substitute:
[tex] \displaystyle C = 2\pi .1[/tex]
simplify mutilation:
[tex] \displaystyle C = 2\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 2.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 6[/tex]
and we are done!
Young people often find that playing video games, watching TV, and instant messaging friends can be very relaxing, and can help to alleviate stress in their lives. Apparently, though, it isn't relaxing enough. In a survey of teens at a local high school in Oregon, 42% of them said they need a vacation. Calculate the probability. The probability that a student in this survey says something other than that he or she needs a vacation is
Answer:
The probability that a student in this survey says something other than that he or she needs a vacation is:
= 58%.
Step-by-step explanation:
The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,
Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).
Probability calculates the frequency of the occurrences of an event.
Can someone help me please !
I need help with this math problem please
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
HELP PLEASEEEEEEEE !!!
PLEASE HELP WITH 3 ITS FOR MY FINAL PLEASEE
Answer:
C
Step-by-step explanation:
Answer:
hi!! i’m pretty sure it’s c or d. if i was taking it o would go with c
Step-by-step explanation:
How many terms are there in the following expression? x - 5 + 16x + 4 - 2x - 3
Answer:
Two terms
Step-by-step explanation:
First, we have to simplify reducing the number of terms, since there are like terms
x-5+16x+4-2x-3
Eventually, you'll get 15x-4, thus there are two terms.
Please correct me if I'm incorrect, and I'll change the answer, but I hope I helped :)
A survey asked buyers whether color, size, or brand influence their choice of cell phone. The results are below. How many people were influenced by brand
Answer:
wheres the photo
Step-by-step explanation:
(1,5) (2,5) (1,-5) (2,-5) is this a function
Answer:
A function is an expression in terms of a variable, usually x. Hence, that is not a function.
Step-by-step explanation:
What you have there are four sets of coordinates.
Answer:
no
Step-by-step explanation:
(1,5) (2,5) (1,-5) (2,-5)
This is not a function
To be a function each x must only go to one y
x=1 goes to both 5 and -5
x=2 goes to both 5 and -5
It is not a function
How much dog food would fit in a into a can with a height of 15.5 cm and a diameter of 10 cm?
Answer:
depends on the size of the food
Step-by-step explanation:
Ill give brainliest
.......
He gave $100 to the local charity
Step-by-step explanation:
1/5 of 500 is 100
Answer:
$100
Step-by-step explanation:
This question asks how much of his money he gave to charity, meaning we must find 1/5 of 500. An easy way to mentally solve this is by dividing 500 into 5 separate, equal parts. This can be done by dividing 500 by 5. If you don't know what 500/5 is you can ignore the 0s for now and just divide 5/5, which is 1. Then, add the 0s back on for an answer of 100. Therefore, because 100 is 1/5 of 500 it must be the answer.
Solve 4.85 ÷ 5 = ___. 0.94 0.95 0.96 0.97
Answer:
4.85 ÷ 5 = 0.97
hope this helps
For the inverse variation equation xy=k, what is the constant of variation,k, when x = -3and y=-2
Answer:
6
Step-by-step explanation:
xy=k
Value of k ; when ; x = - 3 and y = - 2
Put x = - 3 and y = - 2 into the equation :
(-3)(-2) = k
-3 * - 2 = k
6 = k
The constant of variation k = 6
NO FILES!!!
HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc WVY
The requried measure of the ARC(WVY) is 250°. Option C is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
We know that the tangent subtended to the circle from a common point then,
larger arc - smaller arc / 2 = angle between the tangent
10a - 4a -10 / 2 = 70
6a = 140 + 10
a = 150/6
a = 25
Now,
arc(WVY) = 10a = 10*25
= 250°
The requried, measure of the ARC(WVY) is 250°. Option C is correct.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ3
A weight attached to a spring moves with simple harmonic motion.
Answer:
omggggg I need help with this one tooooo
