The function f(t) that describes this scenario will be A = -42.57t + 1399.28
Let the amount of oil remaining after time t be ALet the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
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6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader
Answer:
Petra would need to save for 12 weeks to get 126
126+34.75=160.75
Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.
Here, So far and plans to save an additional $10.50 each week.
Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x
So, We can formulate;
⇒ 10.50x + 34.75 = 160.75
Solve for x;
⇒ 10.50x = 160.75 - 34.75
⇒ 10.50x = 126
⇒ x = 126/10.50
⇒ x = 12
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Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = xThe hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
Khloee spent $55.23 on a 12 pound box of apples. How much did the apples cost per pound?
Answer:
4.603/Lb
Step-by-step explanation:
$55.23 / 12 = 4.603/Lb
What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.
The required equation of a line perpendicular is y = x + 5
Given the equation y = -x + 2, the slope of the line is -1
The slope of the line perpendicular will be m -1/-1 = 1.Given the point (-1.5, 3.5)Substitute the slope and the point into the point-slope form of the equation expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]
Hence the required equation of a line perpendicular is y = x + 5
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the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks
Step-by-step explanation:
cars : trucks = 3 : 5
there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.
these 8 parts (or the whole) are in total 360.
therefore, 1 part = 360/8 = 45
cars get 3 parts of the whole parking lot, that is
45 × 3 = 135 cars
trucks get 5 parts of the whole parking lot, that is
45 × 5 = 225 trucks
3) Find the square root of these numbers by division method . 24336
I want full answer
what is the answer to (x-2)^5 ?
Answer:
x² - 4x + 4
Step-by-step explanation:
(x -2)(x - 2)
x² - 2x - 2x + 4 Expand using FOIL.
x² - 4x + 4 Simplify.
3
5
+
2
3
=
whats the answer
Answer:
19/15 is the answer
PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH
Pay attention in school bud
Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?
please help me Im lost on this :(
Answer:
C
Step-by-step explanation:
the quadratic formula is
[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]
Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.
Answer: C) 3x^2+8x-10=-8
Step-by-step explanation:
3x^2+8x-10x=-8
3x^2+8x-2=0
a=3 b=8 c=-2
Plug it into quadratic formula.
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answer:
Step-by-step explanation:
(4+3i)(12-2i)
48 - 8i + 36i - 6i^2
48 + 28i +6
54 + 28i
What is the constant of this polynomial? 3x9 + 4x + 129
Answer:
129
Step-by-step explanation:
When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.
The constant is 129.
If f(x) = 2x – 5, then what is the value of f(2) + f(5)
Answer:
4
Step-by-step explanation:
which one is a function
Answer:
Table B
Step-by-step explanation:
In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.
What is the domain and range ?
Answer:
domain: [0, ∞)
range: (-∞, 0]
Step-by-step explanation:
the domain is all the possible x-values, which is all the numbers from 0 to infinity.
the range is all the possible y-values, which is all the numbers from negative infinity to 0.
PLEASE HELP‼️‼️15 POINTS PLEASE ANWER ASAP‼️‼️‼️ILL MARK BRAINLYEST I MEAN IT ‼️‼️‼️
which theorem would be used to prove the triangles below as congruent?
Answer:
ASA
Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me
Adding this so you can give the other person a brainlyist
Shaq has opened a new bake shop in town. Shaq sells each chocolate
cake for $12 and spends $1,064 in rent per month. How many
chocolate cakes does Shaq need to sell to make $1,204 in profits this
month?
Answer:
she would need to sell 88.6
Step-by-step explanation:
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4
Answer:
1
Step-by-step explanation:
What you can do is do [tex]3x-4=-x[/tex]
-4=-4x
x=1
CHECK:
[tex]3-4=-1[/tex]
[tex]-1=-1[/tex]
En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?
Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.
Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.
En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.
Usando una regla de tres podemos determinar la tendencia general:
Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.18 = 620x = 3120x = 18 x 3120 / 620x = 56160 / 620x= 90Es decir que aproximadamente 90 personas tienen esta misma preferencia.
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Will mark brainliest if you help me pleaseeee
[tex]a(n) = {n}^{2} + 3[/tex]
Answer:
nth term is equal to n²+3
First to get it will get Brainly and 20 points. Good luck
[tex] \frac{1}{2} [/tex]
Answer:
the correct answere is 1:2
Step-by-step explanation:
my sister is working on the same thing and I helped her and she got it right.
The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x
Which statement best interprets a value in the equation?
The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.
Answer:
D. The limiting value of the city population is 187,600 people.
Step-by-step explanation:
I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021
Solve the following system of equations.
8x+3y=18
-7x-4y=-13
x= y=
Answer:
x=3
y=-2
Step-by-step explanation:
Just ask!
Hope this helps.
(✿◡‿◡)
Solve the system with elimination:
5x - y =1
10x + 3y = 7
Answer:
X = 2/5
y = 1
Is this what your looking for?
Step-by-step explanation:
the picture i need help with this answer. the problem is in the picture
Answer:
Step-by-step explanation:
what is it and why? having a good explanation would really help me. thx <3
Answer:
B. (-4-2)
Step-by-step explanation:
since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2
(-4-2)
You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.
i hope this helps :)
Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.
Answer:
x > 14 ; x < 12
Step-by-step explanation:
Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14
Area < 138, so that means 3*(4x-2) < 138, so x < 12
4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking
helpp
Answer:
if you find the age of bob the rest is easy
Step-by-step explanation:
Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)
Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.
