Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]
Step-by-step explanation:
a) This is a very trivial exercise.
[tex]x(t) = -4t^2 + 20t + 60[/tex]
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b) [tex]x(t) = -4t^2 + 20t + 60[/tex]
R(x(t)) = 2(x(t))
[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.
Can somebody help me with this ?? :)
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.
What is a regular Polygon? Name all the types of polygon.(HELP ASAP)
Answer:
A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...
find the sum 12x^2+3x+6
Answer:
[tex]3(8x ^{2} + x + 2)[/tex]
factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots
Answer:
This cannot be simplified any further.
Step-by-step explanation:
What is the length of BC in the right below?
Answer:
B. 17
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We have a and b, so:
8² + 15² = c²
c = √(8² + 15²)
c = 17
And we have our final answer!
Answer:
To find the length of BC we use Pythagoras theorem.
BC² = AB² + AC²
AB = 8 AC = 15
BC² = 8² + 15²
BC = √64 + 225
BC = √ 289
BC = 17
BC is 17
Hope this helps.
4. Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?
Answer:
75 degrees Celsius
Step-by-step explanation:
-114 - -39 = -75
Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?
Answer:
yes
Step-by-step explanation:
15.3-7.9=7.4
Josie is a travel agent who loves to analyze data about the vacation destinations she books for her clients. She believes that the
more she knows about a destination, the better she can educate and prepare her clients to get the most enjoyment out of
their trips. She's recently been investigating the climate of Paradise Island, where one of her biggest clients, Jack, is planning to
visit. Her research of the temperature history of Paradise Island is vital to Jack's travel plans, as he has an ideal temperature
that he prefers for vacationing. In this task, you'll use technology and regression techniques to help Josie plan Jack's ideal
vacation to Paradise Island.
Part A
Josie has collected data that shows the average daily high temperature for several months over the last year. In her table
of data, month 1 can be interpreted as January, month 2 as February, and so on.
Month, x
Average Daily High Temperature, y
(°F)
50
56
1
2
3
67
5
84
6
89
7
98
92
84
9
10
12
58
button to insert a screenshot of your scatter plot in the
Answer:
The scatter plot for the data is attached below.
Step-by-step explanation:
The data collected by Joise for the average daily high temperature for several months over the last year is as follows:
Month X Average Daily High Temperature, Y (°F)
January 1 50
February 2 56
March 3 67
May 5 84
June 6 89
July 7 98
September 9 92
October 10 84
December 12 58
The scatter plot for the data is attached below.
The cost of 3 cans of pineapple at Superway Store is $2.25, and the cost of 6
cans of the same kind of pineapple is $4.80 at Grocery Giant. Which store
has the better price for the pineapple?
Answer:
Grocery Giant has the better price for the pineapple.
Step-by-step explanation:
Superway Store
3 cans of pineapple is 2.25
Grocery Giant
6 cans of pineapple is 4.80
Superway Store 6 cans is 2.25 + 2.25 = 4.50
Which means that Superway Store is cheaper by 30 cents
The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder, in
cubic units?
2x
47x2
2x
x2 + 2x
O2 + x
Save and Exit
Next
Submit
Mark this and return
Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\pi r^2 h[/tex]
r is the radius of the base of a cylinder
h is height of cylinder
The height of a cylinder is twice the radius of its base. It means that h = 2r
So, volume of cylinder becomes :
[tex]V=\pi r^2(2r)\\\\V=2\pi r^3[/tex]
So, the volume of the cylinder is given by the expression [tex]2\pi r^3[/tex].
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
Which graph shows a system of equations with no solutions? On a coordinate plane, the graphs of 2 circles are shown. Both circles have a center at (0, 0). The smaller circle is within the larger circle and the smaller circle has a radius that is 2 units smaller than the larger circle. On a coordinate plane, a graph of a line and a parabola are shown. The line is horizontal to the x-axis at y = negative 5. The parabola opens up and its vertex on the line. On a coordinate plane, the graphs of 2 circles are shown. Both circles are in quadrant 1, and they intersect each other. On a coordinate plane, the graphs of 2 parabolas are shown. Both parabolas open up and they intersect each other at (0, 0). The first parabola has a vertex in quadrant 3 and the second parabola has a vertex in quadrant 4.
Answer:
Graph A
Step-by-step explanation:
The two circles are not touching so they don't have a solution. I also got it right on Edge2020
For the following geometric sequence find the explicit formula: {-1, 3, -9,...}
Answer:
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
Find the degree of a monomial.
8ab3
A. 4
B. 5
C. 3
Answer:
Option A. is the correct choice.
Step-by-step explanation:
The degree of a monomial is the sum of the exponents of all its variables.
The degree of the given monomial [tex]8ab^3[/tex] is 1+3=4.
Best Regards!
What is the measure of an angle that is nine times it’s complement
Answer:
9
Step-by-step explanation:
Assume that the measure of the angle is x
That would mean that the compliment of that angle would be 9x
Two angles are complementary when their sum equals 90
That means x + 9x equals 90.
We can combine x and 9x into 10x, leaving us with 10x=90
Divide both sides by 10
x=9
How many cubes are needed to build this figure?
Answer:
6
Step-by-step explanation:
the box has 2 x 3 x 1
so if we use cube 1 x 1 x 1
we need 6 cubes
Answer:6
Step-by-step explanation:
I counted the top
14 less than 'n' is no less than -112 (Enter your answer using interval notation)
Answer:
bruh
14 less than n is not less than -112
this is ambiguous.
do you mean 14<n≥-112 or n-14≥-112
please answer very quickly
Answer:
ABD
Step-by-step explanation:
Cathy used a probability simulator to pull three colored marbles from a bag and flip a coin 50 times. The results are shown in the table below. Using Kathy’s simulation, what is the probability of pulling a blue marble in the coin landing tails up?
Answer:
blue marble 12/50. tails 20/50
Step-by-step explanation:
12/50×20/50 =240/2500= 12/125 =9.6%
Answer:
12/50
Step-by-step explanation:
The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8.
Answer:
60
Step-by-step explanation:
Since the perimeters are equal then:
(3x + 3) * 4 = (x + 8) * 5
12x + 12 = 5x + 40
7x = 28
x =4
Perimeter of square = (3*4 + 3) * 4 =
(12 + 3) * 4 = 60
Perimeter of pentagon = (4 + 8) * 5 =
(12) * 5 = 60
The answer is 60
Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?
Answer:
Minus sign & it represents that the money is a debt
Step-by-step explanation:
Quiana took a loan of $15,234.68. This is also the same amount of money that Quiana wil return to the lender.
A minus sign (-) was inserted before the amount of money that Quiana borrowed. It represents that the money is a debt that Quiana owes and she will have to return (pay back) to the lender.
Help meeeeeeeeeeeeeee!!!!!!
Answer:
2x+3=9
2x=6
x=3
3w-1=14
3w=15
w=5
7y+2=30
7y=28
y=4
5x+20=35
5x=15
x=3
6c-12=48
6c=60
c=10
8m-4=20
8m=24
m=3
7w+13=90
7w=77
w=11
12p-18=30
12p=48
p=4
9w-5=67
9w=72
w=8
10a+40=100
10a=60
a=6
9x-24=84
9x=108
x=12
7w+1=1
7w=0
w=0
your welcome
Answer:
The answers will be listed below:
A. [tex]x=3[/tex]
B. [tex]w=5[/tex]
C. [tex]y=4[/tex]
D. [tex]x=3[/tex]
E. [tex]c=10[/tex]
F. [tex]m=3[/tex]
G.[tex]w=11[/tex]
H. [tex]p=4[/tex]
I. [tex]w=8[/tex]
J. [tex]a=6[/tex]
K. [tex]x=12[/tex]
L.[tex]w=0[/tex]
I would show how to do it but it will take to long.
Here's for the last one
Hope this helps.
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
Graph the equation.
y = 1/3 (x + 3)(x – 3)
Answer:
Step-by-step explanation:
screen shot attached
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).