Answer:
[tex]Range: 0 \le y \le 400[/tex]
Step-by-step explanation:
Given
[tex]Gas = 25 gallons[/tex]
[tex]Distance = 400miles[/tex] --- max
Required
The range of the function
The graph is not given; however, the question can be answered without the graph.
From the question, we understand that the truck can hold up to 25 gallons.
This represents the domain (i.e. from 0 to 25)
When the truck is empty (i.e. no gas in it), the truck cannot move any distance (0 miles).
When the truck is filled up (i.e. 25 gallon), the truck can move up to 400 miles.
This represents the range (i.e. from 0 to 400 miles)
Hence, the range is:
[tex]Range: 0 \le y \le 400[/tex]
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Use the chain rule calculate dw/dr , dw/ds and dw/dt
W=in(x+2y+3z) , x=r^2 + t^2 , y =s^2 - t^2 , z=r^2 + s^2
Answer:
[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex]
Step-by-step explanation:
We proceed to derive each expression by rule of chain. Let be [tex]w = \ln (x+2\cdot y + 3\cdot z)[/tex], [tex]x = r^{2}+t^{2}[/tex], [tex]y = s^{2}-t^{2}[/tex] and [tex]z = r^{2}+s^{2}[/tex]:
[tex]\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr} }{x+2\cdot y + 3\cdot z}[/tex]
[tex]\frac{dx}{dr} = 2\cdot r[/tex]
[tex]\frac{dy}{dr} = 0[/tex]
[tex]\frac{dz}{dr} = 2\cdot r[/tex]
[tex]\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]
[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (1)
[tex]\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds} }{x+2\cdot y + 3\cdot z}[/tex]
[tex]\frac{dx}{ds} = 0[/tex]
[tex]\frac{dy}{ds} = 2\cdot s[/tex]
[tex]\frac{dz}{ds} = 2\cdot s[/tex]
[tex]\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]
[tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (2)
[tex]\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt} }{x+2\cdot y + 3\cdot z}[/tex]
[tex]\frac{dx}{dt} = 2\cdot t[/tex]
[tex]\frac{dy}{dt} = -2\cdot t[/tex]
[tex]\frac{dz}{dt} = 0[/tex]
[tex]\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]
[tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (3)
someone please help me answer this!!
Answer:
8 mm
Step-by-step explanation:
Answer attached....
Hope it helps :)
Answer:
a = 8mm is the answer
Step-by-step explanation:
a = ?
b = 6mm
c = 10mm
By using the Pythagoras theorem,
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = 8
∴ a = 8mm is the length of the missing leg
Express as a trinomial.
(x + 4)(x - 1)
Answer:
x^2+3x−4
Step-by-step explanation:
What type of triangle is shown below?
73
90°
17
A. Acute
B. Obtuse
C. Right
D. Equilateral
Answer:
The answer is C. Right
For the population of all college students currently taking a statistics course, you want to estimate the proportion who are women. You obtain a simple random sample of statistics students at Broward College in Florida. Is the resulting sample proportion a good estimator of the population proportion of all college statistics students
Answer:
No
Step-by-step explanation:
To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.
Find the missing value to the nearest whole number sin17 = x7
Answer:
the nearest value is 1700
Answer:
-7
Step-by-step explanation:
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
Which expression will complete step 3 in the proof? sin2(x) 2sin(x) 2sin(x)cos(x) sin(x)cos(x) + sin(x)
Answer:
It's D
Step-by-step explanation:
Edge 2021
The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given expression:
sin2(x) + 2sin(x)
This is the first step.
And the second step is given,
2sin(x)cos(x) + 2sin(x)
And to find the third step:
Simplify,
Factor out the common factor,
2sin(x) {1+ cos(x)}.
Therefore, the required step is 2sin(x) {1+ cos(x)}.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
Please help me with this question, no links please, thank you!!!
A school has all of the students in grade 7 take a spelling test. Several samples are taken from the results. Which of the following samples is NOT likely to produce a representative sample of the population?
Group of answer choices
20 students who have science first period.
3 students who were in the final round of the spelling bee.
15 students whose name begins with N.
40 students who say math is their least favorite subject.
Answer:
15 students whose name begins with N
Step-by-step explanation:
This is not a valid representative sample.
Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22
Answer:
32
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
If evaluated this is the answer!
what is an expression that IS NOT greater than 1/4
Answer:
1/5, 1/6, 1/7 is expressions not greater than 1/4
Step-by-step explanation:
If this circle has a radius of 7.4 and m
intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.
Answer:
Gddghdhdhdhy heifer here early enough h her y
Pablo and his classmates are collecting aluminum cans to be recycled the box plot shows the data for the number of cans collected by each student
Answer:
A. The median of the data values is 16.
Step-by-step explanation:
Answer:
A - 16
Step-by-step explanation:
Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?
Answer:
6/8>7/12
Step-by-step explanation:
6/8>7/12
36/48>28/48
I think
Find the distance between (1, 2) and (5,5).
Answer:
The distance is 5 units
Step-by-step explanation:
Use the distance formula to find the distance.
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a.
b.
c.
d.
HELP
Answer:
64/77
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/6*1/6= 2/12
When you simplify 2/12 you get 1/6
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
G is the same as the other one so it's also 129. Their angle relationship are verticle angles.
Find the sum of the angle measure of a hexagon
Answer:
120°
Shape Sides Each Angle
Hexagon 6 120°
What is the area of the trapezoid? The diagram is not drawn to scale.
9 cm
4 cm
5 cm
O14 cm2
O 20 cm2
O 38 cm2
O 56 cm2
Answer:
56sq. cm
Step-by-step explanation:
Area of a trapezoid = 1/2(a+b)h
a and b are the parallel sides
h is the height of the trapezoid
Find the f=diagram attached. from the diagram
a = 9cm
b = 5 + 9 + 5 = 19cm
h = 4cm
Substitute
Area of the trapezoid = 1/2 * (9+19)*4
Area of the trapezoid = 1/2 * 28 * 4
Area of the trapezoid = 28 * 2
Area of the trapezoid = 56sq. cm
if you have four properties to do this week and the four properties have 45 square feet 100 square feet is 200 square ft and 300 square feet of yard what will be the total cost for the lawn care be this week
Answer:
Step-by-step explanation:
Square footage. ft². lock autosave. If you need to calculate the square footage of the floor's area, check out our square footage calculator.
Does anyone know what the answer is I need help pls
Answer:
x=15
Step-by-step explanation:
If each of those expressions is the measure of each arc of the circle, when added together they should equal 360
8x-10+6x+10x+10=360
24x=360
x=15
Find the area of the shaded region.
Answer:
48 yd²
Step-by-step explanation:
The shaded region is a trapezoid
Area of shaded region = area of the trapezoid
Area of trapezoid = ½(a + b)h
a = 6 yd
b = 10 yd
h = 15 - 9 = 6 yd
Area of trapezoid = ½(6 + 10)6
= ½(16)6
= 48 yd²
Area of the shaded region = 48 yd²
pls help me i’ve been having a hard time understanding this and i really really need help
Answer:
0
Step-by-step explanation:
the initial value is just the base line
(3x^2+4x-8)-(-2x^2+4x+2)
Answer:
√2
Step-by-step explanation:
3x^2+4x-8+2x^2-4x-2
5X^2-10
5x^2=10
X^2=10/5
X^2=2
X=√2
Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?
Answer:
2,600.6
I think its 2,600.6 because 6% is 6 dollers I dont know if I am correct lol! but have a nice day! =)
Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answer:2
Step-by-step explanation:
Maya read 3535 pages in \frac{4}{5}
5
4
of an hour. If she continues reading at the same rate, how many pages will she read in an hour?
Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability
Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)
quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK
A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)
Find the slope of the line that passes through (0,-2) and (4,-3)