Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
Which expression is equal to 527.471?*
(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)
(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)
(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)
(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000)
Answer:
Step-by-step explanation:
527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)
Answer:
500029301.171
Step-by-step explanation:
The area of a square garden is 9ft. How long is each side of the garden
The length of each side of the square garden is 3ft.
What is a square?A square is a quadrilateral with four equal straight sides and four right angles.
To find the area of a square garden, multiply two equal sides.
The area is the space of a two-dimensional line.
To find the length of each side of a square garden, compute the squared root of the area.
Area of the square garden = 9 ft
Length of each side = √9
= 3 feet
Thus, each side of the garden has 3 ft.
Learn more about the area, length, and width at https://brainly.com/question/25292087
#SPJ1
State the slope and the y-intercept for the graph of the equation, y = -3x - 2 * 1 point A) Slope = -2; y-intercept = -3 B) Slope = 2; y-intercept = 3 C) Slope = -3; y-intercept = -2 D) Slope = 3; y-intercept = 2
Name that Ange pair!
Drections Given the diagram below, determine whether the angle pairs are corresponding,
alternate interior, alternate exterior, consecutive (same-side) interior, consecutive (same-
side) exterior, or no relationship. Color the boxes using the color codes below.
3.
7
1
5
418
2
6
Corresponding Angles: Pink
Alternate Interior Angles: Light Blue
Alternate Exterior Angles: Yellow
Consecutive Interior Angles: Light Green
Consecutive Exterior Angles: Orange
No Relationship: Uncolored
9/13
10
14
1115
12
16
Answer:
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles
∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles
∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles
sry i dont know which are the consecutive exterior angles
but i hope you understood
<2 and <13 are alternate interior angles
Reason: At the opposite sides of the transversal and fall between
<4 and < 11 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<1 and <16 do not have any direct relationship
<3 and <12 are co-exterior angles
Reason: Same side of the transversal but each of them are outside the parallel lines
<3 and <5 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<14 and 16 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<1 and <3 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<5 and <10 are alternating exterior angles
Reason: Alternate side of the transversal but each of them are outside the parallel lines
Learn more here: https://brainly.com/question/20702153
Suppose the eggplants at a store in Thailand are priced at 1.24 baht per kilogram,
where one dollar is worth 1.37 baht, and 1 kg = 2.2 lb. What is the price of the
eggplants in dollars per pound?
A:$0.77 per pound
B:$0.41 per pound
C:$3.75 per pound
D:$2.00 per pound
if 3 kg of beans cost $1.50, how much does 2 kg cost
Answer:
2/3 of the price
Step-by-step explanation:
It will make my life if you help me with this forealzez
Answer:116
Step-by-step explanation:
By definition, a rhombus will have equal opposite angles.
Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.
Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64
Now that we have found out c is 64, we plug it into the angle 2c-12 to get
2*64-12=116.
So again by definition, angle J will be 116 degrees since its an opposite angle.
i need help i will mark
Answer:
[tex]-34.[/tex]
Step-by-step explanation:
[tex] - {4}^{2} + (5 - 2)( - 6) = \\ 16 + 18 = \\ -34. \\ \\ ♨Rage♨[/tex]
IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST. Can someone give me the answers to this: CLOSURE REVIEW CL A-98 thru CL 108
Todays the last day of the quarter and I really need to turn it in but I cant focus.
Answer:
nfw
Step-by-sntep explanation:
fwjfba
HELP ME PLEASE I NEED BRAINLIEST
Answer:
11
Step-by-step explanation:
Here, we replace x and y with the values given that x = 6 and y = 2:
=[tex]\frac{3(6)+4}{(2)}[/tex]
= [tex]\frac{18+4}{2}[/tex]
=[tex]\frac{22}{2}[/tex]
=11
Myles and Darrell are brothers and myles is older. When you square Darrell's age and multiply by 2 and subtract from the square of Myles age the result is 6times the difference between their ages. When add Myles and Darrell's age you get 5times the difference between their ages. How old is Darrell and how old is Myles.
Answer:
Darrell is 12 years old while Darrell is 18 years old
Step-by-step explanation:
Let Myles age be m and Darrell age be d
Single Myles is older, m > d
Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2
Subtract from the square of Myles age
m^2 - 2d^2
Result is 6 times the difference between their ages;
m^2 - 2d^2 = 6(m-d) •••••••••••(i)
When add Myles and Darrell age
m+ d
you get 5 times the difference between their ages 5(m-d)
m + d = 5(m-d)
m + d = 5m - 5d
5m - m = 5d + d
4m = 6d
m = 6d/4
m = 1.5d or 3/2d ••••••••(ii)
Put ii into i
(3/2d)^2 - 2d^2 = 6(3/2d - d)
9/4d^2 - 2d^2 = 6(1/2)d
Multiply through by 4
9d^2 - 8d^2 = 12d
d^2 = 12d
d^2 - 12d = 0
d(d -12) = 0
d = 0 or d-12 = 0
d = 0 or 12
d = 12 years
The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)
So we choose 12 years
Recall ; m = 3/2 d = 3/2 * 12 = 18 years
Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line
Answer:
It is an undefined line which means a vertical line.
Step-by-step explanation:
Using the point-slope formula y2-y1 divided by x2-x1, you would get -4-(-7)/-3-(-3) which the answer would be 3/0. If zero is at the bottom of the fraction, the line would be undefined.
How do you do this. Please someone explain?
Answer: y = (1/2)x-2
This is the same as y = 0.5x-2
Slope = 1/2 = 0.5
Y intercept = -2
========================================================
Work Shown:
Compare the equation to y = mx+b to find that m = -2 is the slope.
Think of -2 as -2/1. Flip the fraction to get -1/2. Then flip to positive getting 1/2.
The original slope is -2. The perpendicular slope is 1/2 = 0.5
We'll use this perpendicular slope alone with (x,y) = (-4,-4) to get the following for b
y = mx+b
-4 = 0.5*(-4) + b ... plug in the m,x, and y values mentioned above
-4 = -2 + b
-4+2 = b ... adding 2 to both sides
-2 = b
b = -2
Since m = 0.5 and b = -2, we go from y = mx+b to y = 0.5x-2
This is the same as y = (1/2)x-2 since 1/2 = 0.5
Which one?
A. B. C. or D?
Answer:
Its B
Step-by-step explanation:
Its B prob
Samantha's dad paid $47.00 for 20 gallons of gas. What is the price, per gallon of gas in dollars and cents? $
Answer:
2.35 dollars per gallon
Step-by-step explanation:
All you have to do for a question like this is divide the amount of money by the amount of product.
47 divided by 20 = 2.35
Answer:$2.35
Step-by-step explanation: If you divide $47.00 by 20 you get $2.35.
So the price per gallon is $2.35.
HELP PLEASE THIS IS DUE IN FIVE MINUTES
Answer: 0, 50
Step-by-step explanation: (h=0), 0=2t+100
2t=100
t=50
hopefully this helps
The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour. Choose a function to represent this scenario
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Given the information above :
Less than Employees = $0.5 increase per hour
Atleast 3 but less than 6 years employees = $1.00 increase per hour
Atleast 6 but less than 9 years employees = $1.50 increase per hour
Atleast 9 but less than 12 years employees = $2.00 increase per hour
The information above can be written as a piecewise function :
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The constraints is represented in the piecewise function above with x being the number of years since employee has been in service.
In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?
Answer:
[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]
sin= opposite over hypotenuse
help the extra pics are for the extra answers to the same questions.
Answer:
B
B
B
I think these are right
Step-by-step explanation:
All of them are bs.
k/4 + 3 = 14
k= ?
k equals what
Answer:
Step-by-step explanation:
[tex]\frac{k}{4} + 3 = 14[/tex]
Subtract 3 from both sides
[tex]\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11[/tex]
Multiply both sides by 4 to find k.
k = 11 x 4 = 44
Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2
Answer:
[tex]\bold{y=(x+5)^2-27}[/tex]Step-by-step explanation:
[tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]
Si x² + 5x - 6 = 0 entonces los valores de x que satisfacen la ecuación son:
a) 0,6
b) 6,-1
c) 3,2
d) -6,1
e) -3,-2
Answer:
In english pls
Step-by-step explanation:
Which linear equation has no solution?
CLEAR
SUBMIT
+6)=6x + 4
52 + 12 = 50 - 7
4.3 + 7 = 3.2 + 7
-3(2x - 5)= 15 - 63
Tuoe heret
Answer:
+6)=6x + 4 x=1/3
52 + 12 = 50 - 7 False
4.3 + 7 = 3.2 + 7 False
-3(2x - 5)= 15 - 63 x = 21/2
Step-by-step explanation:
This graph shows a proportional relationship.
What is the constant of proportionality?
Answer:
y=40x
Step-by-step explanation:
Answer:40
Step-by-step explanation:
Which table represents a function?
Answer:
The first one, there are no repeating x values
Step-by-step explanation:
Help !! Least to greatest -1 1/3 , - 1 8/9 , 1 3/4 , 1 1/2
Answer:
1. [tex]-1[/tex] [tex]\frac{1}{3}[/tex]
2. [tex]-1[/tex] [tex]\frac{1}{2}[/tex]
3. [tex]1[/tex] [tex]\frac{1}{2}[/tex]
4. [tex]1 \frac{3}{4}[/tex]
-1 1/3 is the least of all the numbers. So, this is the first number.
-1 1/2 is the second least number. So, this is the second number.
1 1/2 is the third least number. So, this is the third number.
Finally, 1 3/4 is the greatest number, so it is the fourth number.
Hope this helps you!
Please help! I'll mark brainliest
7^(? )x (7^(5))^(4 )= 7^(34 ) find the missing exponent
n = 14
Step-by-step explanation:Hi there !
7ⁿₓ7⁵⁾⁴ = 7³⁴
7ⁿₓ7⁵ˣ⁴ = 7³⁴
7ⁿₓ7²⁰ = 7³⁴
n + 20 = 34
n = 34 -20
n = 14
Good luck !
Answer:
n = 14
Step-by-step explanation:
1) 3/7 & -6/7 pls I need answers
Answer:
0.42 & -0.85
Step-by-step explanation:
need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45
Answer:
ummm ................
create a predictable sequence of at least 4 numbers that is not arithmetic or geometric.
Answer:
1,2,3,5,8,13,.......
Step-by-step explanation:
We can have a sequence that adds the previous two terms to get the next term
1,2,3,5,8,13,.......
This is neither geometric nor arithmetic