Answer: 1898 miles
Step-by-step explanation:
Let the total distance of the trail be represented by x.
We are informed that 43% of the trail has been completed which is 816 miles, the total miles will then be:
43% × x = 816
43/100 × x = 816
0.43 × x = 816
0.43x = 816
x = 816/0.43
x = 1897.67
x = 1898 miles approximately
The total trip is 1898 miles
X 3.6.PS-10 Question Help A new bank customer with $4,500 wants to open a money market account. The bank is offering a simple interest rate of 1.7%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
What is the value of 4.6 - t when t = 3.1
Solve the equation. Round your answer to the nearest hundredth.
47 +3.81k = -41
Answer:
1.57=k
Step-by-step explanation:
47-41=3.81k
6=3.81k
divide both sides by 3.81k
answer=1.57=k
A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:T(t) = -0.02t^2 +0.4968 +98.
a. When does the patient's temperature reach its maximum value
b. What is the patient's maximum temperature during illness
Step-by-step explanation:
Given that,
The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:
[tex]T(t)=-0.02t^2 +0.4968 t+98[/tex] ...(1)
(a) We need to find when does the patient's temperature reach its maximum value.
For maximum value.
Put dT(t)/dt = 0
[tex]\dfrac{d(T(t)}{dt}=\dfrac{d}{dt}(-0.02t^2 +0.4968t +98)\\\\=-0.04t+0.4968\\\\-0.04t+0.4968=0\\\\t=12.42\ h[/tex]
(b) Put t = 12.42 in equation (1) :
[tex]T(12.42)=-0.02(12.42)^2 +0.4968 (12.42)+98\\\\=101.08^{\circ} F[/tex]
Hence, this is the required solution.
7z + 2 = 26
In this equation, what is the variable?
Answer:
Z is the variable
Step-by-step explanation:
Mr. Garcia notes that in 84% of the papers his former students have turned in, they cited their sources incorrectly. He plans to go through these papers at random to find one with incorrect citations for a lesson on citing with his current students. Assume that incorrect citations are independent between papers. Let NNN be the number of papers Mr. Garcia selects until he finds one with the sources cited incorrectly. Find the probability that the 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript paper Mr. Garcia selects will be the first with the sources cited incorrectly. You may round your answer to the nearest hundredth.
Answer:
.022
Step-by-step explanation:
Answer on Khan
"You must be 40 inches tall to ride."
What percentage of this height is:
a. 34 inches?
Answer:
85%
Step-by-step explanation:
1. Divide.
34 divided by 40 = 0.85
2. Multiply.
0.85 x 100 = 85
Caitlin recently rode her bicycle to visit her friend who lives 9 miles away. On her way
there, her average speed was 8 miles per hour faster than on her way home. If Caitlin
spent a total of 3 hours bicycling, find the two rates.
15 points help me please. show steps!!
Answer:
12 mph & 4 mph
Step-by-step explanation:
Let s and s - 8 be the speed of Caitlin going on her friend and her speed on her way home respectively.
Distance = Speed × Time
Distance/Speed = Time
9/s + 9/(s - 8) = 3
9(s - 8) + 9s = 3s(s - 8)
9s - 72 + 9s = 3s² - 24s
3s² - 42s + 72 = 0
s² - 14s + 24 = 0
(s - 2)(s - 12) = 0
s - 2 = 0
s = 2
s - 12 = 0
s = 12
If s = 2, then s - 8 = - 6 < 0. We want s and s - 8 to be positive so s = 12 mph. It follows that her speed on her way home is 4 mph.
Given the functions: f(x) = x^3, g(x) = x - 7, h(x) = x + 2, which composition of functions would
give you the new function n(x) = (x + 2)^3– 7?
A. n(x) = f(g(h(x)))
B. n(x) = g(f(h(x)))
C. n(x) = g(h(f(x)))
D. n(x) = h(f(g(x)))
E. n(x) = f(h(g(x)))
please help a girl is struggling❤️
Answer:
n(x) = g(f(h(x)))
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]g(x) = x-7[/tex]
[tex]h(x) = x + 2[/tex]
Required
Which function represents [tex]n(x) = (x + 2)^3 - 7[/tex]
Start by solving for f(h(x)):
Given that:
[tex]f(x) = x^3[/tex] and [tex]h(x) = x + 2[/tex]
Substitute x + 2 for the x in f(x)
[tex]f(h(x)) = (x + 2)^3[/tex]
Next, solve for g(f(h(x)))
Given that:
[tex]g(x) = x-7[/tex] and [tex]f(h(x)) = (x + 2)^3[/tex]
Substitute (x + 2)^3 for the x in g(x)
[tex]g(f(h(x))) = (x + 2)^3 - 7[/tex]
Recall that:
[tex]n(x) = (x + 2)^3 - 7[/tex]
Hence:
[tex]n(x) = g(f(h(x))) = (x + 2)^3 - 7[/tex]
find the number of words with or without meaning that can be formed with the letters of the word 'NIGERIA'
Linda made a scale drawing of her classroom for her math project. She used a scale of 1 cm = 2.5 ft. If the length of her classroom on the drawing measured 20 cm, what is the actual length of her classroom?
Answer:
737
Step-by-step expllol
What created the Vancouver Island?
O earthquake
O volcanoes
O fault
O ocean
Answer:
Volcano
Step-by-step explanation:
Answer:
volcanoes
Step-by-step explanation:
Vancouver island was formed around 150 million years ago when volcanic activity pushed sedimentary rock upwards from the sea floor to from the island landscape. /hope this helps/
Zane bought 2 packages of candy bars. He had fewer than 22 candy bars. Find b, the number of candy bars in each package.Which inequality could be used to represent the question?
A. 2 + b <22
B. 2b =2
C. b - 2<22
D.2b <22
Answer:
d
Step-by-step explanation:
the total of two packages (2b) is less than 22
I will give brainiest to whoever answers correctly !!
Answer:
75.99
Step-by-step explanation:
Idendify the slope and y-intercept from the equation below.
(Hint: rewrite the equation in slope-intercept form first.)
10x - y = 5
m =
y =
Answer:
m=10 y=5 / (0, 5)
Step-by-step explanation:
Slope-int form: y=mx+b
So;
10x-y=5
+10x +10x
y = 10 x + 5
can someone please help me figure this out
hyla paid 37.88 for 3 prizzas and a order of garlic rolls if the garlic rolls cost 3.50 how much did each pizza cost
Answer: The answer is $11.46 per pizza
Step-by-step explanation:
First subtract 3.50 from 37.88 since we know how much the garlic roles are. after that you should get 34.38. Then just divide 34.38 by 3, you'll then get the price for each pizza.
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
Answer:
-5a+-1c
Step-by-step explanation:
The value of Expression: 8a+ 16c is -56.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Given:
Expression: 8a+ 16c
We have the value a= -5 and c=-1
So, putting the values in the given expression as
8a+ 16c
= 8(-5)+ 16(-1)
= -40 - 16
= -56
Hence, the value is -56.
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ6
How many students took the survey?
10
11
20 or 9
ANSWER FOR YOUR QUESTION
ANSWER IS 10
Simplify
4a + 5b – 3b + a
Factor 63z+72. Write your answer as a product with a whole number greater than 1.
Help I need help I have 20 missing assignments
Answer:
8
Step-by-step explanation:
The median of the number of books is represented on a box plot by the vertical line that divides the rectangular box into two. Thus, the value at this point is 8, which is the median number of books read.
Sergi says that 10% of a number will always be less than 20% of any other number. Complete one inequality to support Sergi’s claim and one to show that he is incorrect
Answer:
x × 0.1 < y × 0.2
x = 100, y = 10
Step-by-step explanation:
10% of a really large number can be bigger than 20% of a small number. 10% of 100 is 10. 20% of 10 is 2. 10 is bigger than 2 so Sergi's claim is false.
help me please and quick!!!
Answer:
<
=
>
Step-by-step explanation:
If you distribute 8(s + 2) you will get 8s + 16. You can draw the lines to help you. 8*s is 8s. 8*2 is 16. The second one is equal. When you distribute you will see. The third one is close but if you look closer 4(2s + 3) is more. 4*3 is less than 8*2.
SOMEONE PLEASE ANSWER THIS MY ASSIGNMENT IS DUE IN 6MINUTES
Answer:
7. No
8. $6.11
Step-by-step explanation:
7. 180 / 3 = 60 350 / 5 = 70
8. 20 / 2 = 10 12.22 / 2 = 6.11
Step-by-step explanation:
for 7:
they're not equivalent
20 batteries 12.22$
10 batteries 6.11 $
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.
Answer:
545 randomly selected air passengers must be surveyed.
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed. We have to find n for which [tex]M = 0.042[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.042 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.042\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.042}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.042})^2[/tex]
[tex]n = 544.4[/tex]
Rouding up
545 randomly selected air passengers must be surveyed.
Alang went to the store to buy some walnuts. The price per pound of the walnuts is $7 per pound and he has a coupon for $2.50 off the final amount. With the coupon, how much would Alang have to pay to buy 2 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answer:
$11.50 is the cost for 2 pounds of walnuts
Expression: 7p - 2.50
Step-by-step explanation:
First, create an expression to represent the cost:
7p will represent the cost, since the walnuts are $7 per pound, and 2.50 needs to be subtracted from this because of the coupon for $2.50 off
So, the expression is 7p - 2.50
Use this expression to find the price for 2 pounds of walnuts:
7p - 2.50
7(2) - 2.50
14 - 2.50
= 11.50
So, the cost with the coupon will be $11.50
A deck of cards contains 26 black cards and 26 red cards. If you are dealt two cards, what is the probability that one is red
Answer:
A 50% chance because its a 50 50 chance of drawing either card.
which of the follwing regular polygons can make a tessellation?
I think it's square and hexagon.
whats(the difference of 2 times d minus 3)?
Answer:
[tex]2d - 3 \: [/tex]
hope it helps⁽⁽ଘ( ˊᵕˋ )ଓ⁾⁾
Answer:
the answer is -2d -3
Step-by-step explanation:
I hope my answer is correct
