Using proportions, it is found that the temperature after 4 hours was of 0º.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The temperature rose 3º every hour, for 4 hours, hence the total rise was of:
R = 3º x 4 = 12º.
Considering the initial temperature, the the temperature after 4 hours was of:
T = -12º + 12º = 0º.
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Larry is starting his own lawn service company. He has initial startup costs totaling $300, plus ongoing operating expenses. The function representing Larry's expenses and the function representing Larry's income for lawn services are shown in the graph below.
Approximately how many lawns will Larry have to mow before he starts making a profit?
Anwer Choises:
Larry must mow approximately 300 lawns before he starts making a profit.
Larry must mow approximately 350 lawns before he starts making a profit.
Larry must mow approximately 25 lawns before he starts making a profit.
Larry will start making a profit when he mows his first lawn.
Answer:
Larry must mow approximately 25 lawns before he starts making a profit
Step-by-step explanation:
Find the axis of symmetry and the vertex of the graph of f (x) = x^2 - 16 + 55
Hi there!
»»————- ★ ————-««
I believe your answer is:
Vertex: (0, 39)
Axis of Symmetry: x = 0
»»————- ★ ————-««
Here’s why:
I have graphed the equation on a program. When graphed, the the lowest point lies on the point (0, 39). This makes (0, 39) the vertex.⸻⸻⸻⸻
The axis of symmetry is a vertical line that intercepts the vertex. The vertical line makes the parabola seem 'symmetrical'. The 'x' value of the vertex is usually the line of symmetry as well.⸻⸻⸻⸻
The 'x' value of the vertex is '0', so the axis of symmetry is [tex]x = 0[/tex].
⸻⸻⸻⸻
See the graph that I have attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
For equation:
[tex]f(x)=x^2-16x+55[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
For equation,
[tex]f(x)=x^2-16+55[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
Step-by-step explanation:
The x-coordinate of the vertex of a parabola indicates the line of symmetry of the parabola. Thus, to solve this problem, one must find the vertex of the parabola. This can be done through a process called completing the square.
Completing the square is a process that converts a quadratic equation in standard form into vertex form. The first step is to group the linear and quadratic terms. Then factor out the coefficient of the quadratic term. After doing so, add a term to make the group a perfect square trinomial, then balance the equation.
Possibility 1
If the given equation is the following,
[tex]f(x)=x^2-16x+55[/tex]
Group,
[tex]=(x^2-16x)+55[/tex]
There is no quadratic term, thus, complete the square,
[tex]=(x^2-16x+64)+55-64[/tex]
Simplify,
[tex]=(x-8)^2-9[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
Possibility 2
If the given equation is the following,
[tex]f(x)=x^2-16+55[/tex]
Combine like terms,
[tex]=x^2+39[/tex]
Put in vertex form,
[tex]=(x)^2+39[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
Can someone help me out the first one, please! Also ignored what I wrote in the paper.
What is the slope of the line?
Answer:
7/4
Step-by-step explanation:
the slope rises 7 units then goes to the right of 4 units
Please help brainiest to correct answer pls show work if you can
Answer:
x= 5
the length = 13 meters
the width = 7 meters
Step-by-step explanation:
(2x+3)(x+2)=91
2x²+7x+6=91
2x²+7x-85=0
(2x+17)(x-5) =0
x=-17/2 or x = 5
the length = 2(5)+3= 13 meters
the width = 5+2 = 7 meters
Which statement about the number 726,483.19 is true?
Answer:
It is a number with 6 whole numbers and 2 decimals, Its a Hundred thousand number
Step-by-step explanation:
USING SIMILAR TRIANGLES IN INDIRECT MEASUREMENT If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree? Which of the following proportions could not be used to solve the problem? 14/1.8 = x/4 x/1.8 = 14/4 x/14 = 1.8/4
Answer:
14/1.8 = x/4
Step-by-step explanation:
Using similar triangles,
height of man/length of man's shadow = height of tree/length of tree's shadow
1.8/4 = x/14
x/14 = 1.8/4
If we cross-multiply, we have
1.8 × 14 = x × 4
dividing both sides by 4 and 1.8,we have
14/4 = x/1.8
x/1.8 = 14/4
So, the two expressions we have are
x/14 = 1.8/4 and x/1.8 = 14/4.
So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.
Find the area of a square with a length of 3.5 centimeter
Answer:
12.25 cm²
Step-by-step explanation:
(3.5 cm)² = 12.25 cm²
Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)
hello! i'll mark the best answer brainliest (:
Tatiana opens a bank account that pays interest compounded annually. Which of the following are reasonable interpretations of the expression 500(1.0325)^t in this context?
Select all that apply.
A. The account earns about 1.03% interest each year.
B. The account earns 3.25% interest each year.
C. The account earns 5% interest each year.
D. Tatiana's starting balance was $500.
E. After 1 year the account will be worth $500.
I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.
I hope this helps
Answer:
A and E
Step-by-step explanation:
im doing my i-ready but ion know the answer
What is Limit of StartFraction x cubed minus 1 Over x minus 1 EndFraction as x approaches 1? 0 1 3 DNE
Answer:
D.
(DNE)
Step-by-step explanation:
when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.
The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.
What is limit?Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.
How to find limit?We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.
F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]
[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]
[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1
[tex]\lim_{x \to \0} x^{2} +x+1[/tex]
change limit by putting x=1-h
[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]
Put the value of h=0.
=1+1+1
=3
Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.
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Please help ASAP thank you!
Answer:
y < 3
Step-by-step explanation:
If you put the equation on a graphing calculator it shows that.
Please give me BRAINLIEST and THANKS <( ̄︶ ̄)>
A soda company spends $1200 per day on business expenses plus $1.10 per bottle.
They charge $2.50 for each bottle of soda they produce. How many bottles of soda
must the company sell in one day in order to equal its daily costs?
Answer: Hi
Step-by-step explanation:
Cost Price per bottle : $1.10
Selling price per bottle : $2.50
2.50 - 1.10 = 1.40
$1200=1.40B
B=858
The company must sell 858 Soda´s in order to equal it daily cost.
Hope this help. Be safe
What is the image of the point (8.5) after a rotation of 180 counterclockwise about the origin
Answer:
-8,-5
Step-by-step explanation:
(x,y)... (-x,-y)
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
Sheila needs to spin a number greater than 2 to win. On the game spinner below, what is the probability of her winning?
Answer:
4
Step-by-step explanation:
I think I'm not sure but please let me know if it is helpful
A person's blood type is denoted with the letters A, B, and O, and the symbols + and - . The blood type A+ is read as A positive. The blood type B - is read as B negative. Use the data to write a ratio for the comparison in 3 different ways.
Answer:
(a) O+ to A+
[tex]O+:A+=90:45[/tex]
[tex]O+:A+=18:9[/tex]
[tex]O+:A+=2:1[/tex]
(b) AB- : AB+
[tex]AB-:AB+ = 6:4[/tex]
[tex]AB-:AB+ = 3:2[/tex]
[tex]AB-:AB+ = 12:8[/tex]
(c): B+ to total
[tex]B+ : Total = 20 : 195[/tex]
[tex]B+ : Total = 4 : 39[/tex]
[tex]B+ : Total = 40 : 390[/tex]
Step-by-step explanation:
Given
[tex]A+ = 45[/tex] [tex]B+ = 20[/tex] [tex]AB+ =6[/tex] [tex]O+=90[/tex]
[tex]A-=21[/tex] [tex]B-=0[/tex] [tex]AB-=4[/tex] [tex]O-=9[/tex]
[tex]Total = 195[/tex]
See attachment
Required
Solving (a): O+ to A+
We have:
[tex]A+ = 45[/tex]
[tex]O+=90[/tex]
So, the ratio is:
[tex]O+:A+=90:45[/tex] ---- first comparison
Divide by 5
[tex]O+:A+=90/5:45/5[/tex]
[tex]O+:A+=18:9[/tex] ---- Second comparison
Divide by 45
[tex]O+:A+=90/45:45/45[/tex]
[tex]O+:A+=2:1[/tex] ---- Third comparison
Solving (b): AB- to AB+
We have:
[tex]AB+ =6[/tex]
[tex]AB-=4[/tex]
So, the ratio is:
[tex]AB-:AB+ = 6:4[/tex] ---- first comparison
Divide by 2
[tex]AB-:AB+ = 6/2:4/2[/tex]
[tex]AB-:AB+ = 3:2[/tex] ---- Second comparison
Multiply by 2
[tex]AB-:AB+ = 6*2:4*2[/tex]
[tex]AB-:AB+ = 12:8[/tex] ---- Third comparison
Solving (c): B+ to total
We have:
[tex]B+ = 20[/tex]
[tex]Total = 195[/tex]
So, the ratio is:
[tex]B+ : Total = 20 : 195[/tex] ---- first comparison
Divide by 5
[tex]B+ : Total = 20/5 : 195/5[/tex]
[tex]B+ : Total = 4 : 39[/tex] ---- Second comparison
Multiply by 2
[tex]B+ : Total = 20*2 : 195*2[/tex]
[tex]B+ : Total = 40 : 390[/tex] ---- Third comparison
Find the slope of a line parallel to a line with a slope of 4/5
Answer:
slope = 4/5
Step-by-step explanation:
The question is asking us to find the slope of the line that's parallel to the line whose slope is 4/5.
Recall that parallel lines have equal slopes.
So the slope of the line that's parallel to the one with a slope of 4/5 is 4/5 too.
Therefore, slope = 4/5.
Solve the equation.
$2v+7=3$
$v=$
Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
Math Tutor Pay: $11.44 per hour
they work 13 hours
how much do they get paid in a-
per week
per month
per year
Answer:
Per week: $1041.04Per month: $4610.32Per year: 55323.84Answer:
1041$/1W(M-Sun)
892$/1W(M-SAT)
744$/1W(M-Fri)
Step-by-step explanation:
Go to sleep stoo naughty
plz help me understand this question thankyou
Answer:
The mistakes were on points C and D
Step-by-step explanation:
Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?
Answer:
The mistakes are Point C and D
Consider the conic section C represented by the equation 9x2 – 25y2 = 225. Which of these is a characteristic of the graph of C? (A) Vertices at (3,0) (B) Vertices at (0, 5) (C) Asymptotes at y = + x (D) Asymptotes at y = x 3
Answer:
The only true statement is:
(B) Vertices at (0, 5)
Step-by-step explanation:
We have the equation:
9*x^2 - 25*y^2 = 225
The graph of this equation can be seen below.
In the graph we can see:
We have two vertices, one at (0, 5) and another at (0, - 5)
Then option B) "Vertices at (0, 5)" is true.
Also in the graph you can see that we have (kinda linear) asymptotes at:
y = x + 5
y = -x + 5
y = x - 5
y = -x - 5
The two options for the asymptotes are:
(C) Asymptotes at y = + x
(D) Asymptotes at y = x 3
So both of these are incorrect.
A parallelogram has a top edge with measure 67 and a left edge with measure 60 feet. a dashed segment measures 52 feet with an endpoint on the upper left vertex and perpendicular to the bottom edge of the parallelogram.
Here is a equation find x. (Please help this is due in 30 minutes!!)
-3x+7=1
Answer:
the answer is 2
-3x+7=1 x=2
What can the answer be?
Answer:
35
Step-by-step explanation:
Trust me. The two triangles are equivalent, so 90+55=145
180-145=35
What is the slope of the line that passes through the points (5, 1) and (2, -7)?
Answer:
8/3
Step-by-step explanation:
We need to find the slope of the line that passes through points , (5,1) and (2,-7) . We can find the slope as ,
=> m = y₁ - y₂/ x ₁ - x ₂
=> m = -7 - 1 / 2 - 5
=> m = -8/-3
=> m = 8/3
Hence the slope of the line is 8/3 .10.
Complete.
y^2 + 15y + 56 = (y + 7)(y + )
A. 8
B. –7
C. –8
D. 7
Answer:
I would go with letter B. -7
Step-by-step explanation:
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
...............................................................................................................................................
Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
Step by step solution :
STEP 1 :
Trying to factor by splitting the middle term
1.1 Factoring y2+14y+49
The first term is, y2 its coefficient is 1 .
The middle term is, +14y its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 7
y2 + 7y + 7y + 49
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y+7)
Add up the last 2 terms, pulling out common factors :
7 • (y+7)
Step-5 : Add up the four terms of step 4 :
(y+7) • (y+7)
The solution is:
y = -7
The solution is:
y = -14 / 2 = -7
Find the total number of unit cubes that fill the entire prism.