Mrs. Matthews wrote three math expressions on the board.
She asked her students which expression would result in a product greater than 7.
Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.
Answer:
expression 3
because expression 1 = 1
and expression 2 = 7
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
Water runs from a pump at a rate of 1.5 gallons per minute. At this rate, how long would it take to fll a tub with a 150-gallon capacity?
A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?
–2.67
–1.67
1.67
2.67
Answer:2.66
Step-by-step explanation:
The z-score for this delivery time is 2.67
What is z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given,
Restaurant delivers orders within 30 minutes
The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27
One particular order delivery took 35 minutes(X)= 35
ц = 27
σ = 3
X = 35
z-score = (X-ц )/σ
Substitute the values,
z-score = (35-27 )/3
z-score = 8/3
z-score = 2.67
Hence, the z-score for this delivery time is 2.67.
Learn more about z-score
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what is the solution to this system? 2x+3y=12 -4x+5y=-2
answer: (3,2)
step by step explanation: :)
1,1,2,3,5,8, ______, ______, _______, _________, _______.
What is the filling blanks and Conjecture?
Can somebody help me out ?? please ..
Need a bit of help with this:(
Answer:
Step-by-step explanation:
statement/reason
1) X midpoint for WZ / given
2) WX≅XZ / definition of midpoint (divides a line segment in two congruent parts) (S)
3) X midpoint for VY/ given
4) VX≅XY / definition of midpoint (S)
5) ∠WXV≅∠YXZ / vertical angles are congruent (A)
6) ΔVXW≅ΔYXZ / SideAngleSide Theorem of Congruency
In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.
Answer:
93.83%
Step-by-step explanation:
2350 - 1200 = 1150
1150/1200 * 100 = 95.83%
Which describes the graph of y=(x+3)^2-4?
Answer:
(D). Opens up with vertex at (- 3, - 4)
Step-by-step explanation:
Vertex form of quadratic equation is f(x) = a(x - h)² + k
If a > 0 the parabola is facing up , or down if a < 0 .
(D). Opens up with vertex at (- 3, - 4)
what type of transformation maps abc onto def
Answer:
The answer is translation :)
b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67
Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer
Write the opposite of each number. -25 _______ 0 _______
Answer:
25
0
Step-by-step explanation:
What are the coordinates of the image after point (4,-5) is reflected across the x-axis
Answer and Step-by-step explanation:
The x-axis is a horizontal line
^
|
|
(<-------------------------|-----------------------------> x
| ^ This line is the x-axis
|
V
^
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
The point is listed, labeled as A. To reflect, all we have to do is go up twice the absolute amount of the y value, so the absolute value of 5 times 2.
^
| A' ● (4, 5)
|
|
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
This new point is labelled as A'.
(4, 5) is the new coordinate.
#teamtrees #WAP (Water And Plant)
The GOAL of any equation is to get the?................
by itself on one side of
the equation.
8 gallons equals how many pints?
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
take care
find the value of x so that the function has the given value. n(x) = 2x + 7 ; n(x)= 17
Answer:
n(x)= 5
Step-by-step explanation:
2x+7 = 17
2x = 17-7
2x = 10
x = 5
The original price of a pair of headphones is $39.99 before tax. When David bought the headphones they rang up for $31.99 before tax. He
then paid 6% sales tax on the discounted price.
Part A: What is the percent discount on the headphones? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Dalton paid for the headphones including tax? Show all work and steps in your solution. (5 points)
Answer:
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
Step-by-step explanation:
Evaluate p + 2 for p = -8.
Answer:
-6
Step-by-step explanation:
Please answer A and B!!!
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
A baker orders 162 eggs. Each carton contains 18 eggs. Determine the number c of cartons.
what is the correct factorization of x^2 - 2x - 15?
Answer:
Step-by-step explanation:
x2 - 2x - 15
x2 - 5x + 3x - 15
x(x - 5) + 3(x - 5)
(x - 5) and (x + 3) are the factors
Work out m and c for the line: y − 2 x = − 3
Answer:
m=2, b=-3
Step-by-step explanation:
y=2x-3
m = 2
b = -3
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
neeed hellpp Asap i have 15min left
Answer:
a
Step-by-step explanation:
Answer:
A I believe
Step-by-step explanation:
A I believe.
A basketball player makes 65% of all free throws
in her first 5 seasons. In her 6th season she
makes 105 out of 150 free throws. How does the
observed frequency of her 6th season compare
to the expected frequency? Provide a possible
explanation for any similarities or differences in
the frequencies. 7.50.3.7
Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.
75 •
.75 =
.5625
.75 •
.75 •
.75 =
.4219
(i'm sorry if i'm wrong)
Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?
Answer:
91 ft ≤ (7 ft)n or n ≤ 13
Step-by-step explanation:
total amount of edging is
e(n) ≤ 4 ft + (7 ft)n
This inequality relates the total length of edging to the number of 7 ft rolls needed.
If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n as
95 ft ≤ 4 ft + (7 ft)n
which simplifies to
91 ft ≤ (7 ft)n or n ≤ 13
Natalia must purchase 13 rolls. This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.
-5x + y = -6
7x + 2y = 39
Answer:
x=3, y=9
Step-by-step explanation:
Mulriplying the first equation by 2 yields -10x+2y=-12.
Subtracting the second equation from this gives -17x=-51, and thus x=3.
Substituting this back into the first equation gives -15+y=-6, and thus y=9.
1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?
Answer:
The probability of a white marble or black marble being drawn is 12/22.
Step-by-step explanation:
First, add all the marbles together.
6 + 10 + 4 + 2 = 22
10 + 2 = 12
= 12/22
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