Answer:
47 minutes
Step-by-step explanation:
Answer:
47 mins hope this helps
Step-by-step explanation:
6y + 9 = 45 asap answer
Answer:
y = 7
Step-by-step explanation:
Simplifying
6y + 3 = 45
Reorder the terms:
3 + 6y = 45
Solving
3 + 6y = 45
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 6y = 45 + -3
Combine like terms: 3 + -3 = 0
0 + 6y = 45 + -3
6y = 45 + -3
Combine like terms: 45 + -3 = 42
6y = 42
Divide each side by '6'.
y = 7
Simplifying
y = 7
Answer:
y=6
Step-by-step explanation:
6y+9=45
-9 -9
6y=36
y=6
Find the value of x that would make mlin.
m
(2x + 36)
4x
n
X=
∠( 2x + 36 ) and ∠4x are interior angles on the same side of transversal, which means their sum will add up to 180° .
Which means :-
[tex] = 2x + 36 + 4x = 180[/tex]
[tex] = 6x + 36 = 180[/tex]
[tex] = 6x = 180 - 36[/tex]
[tex] = 6x = 144[/tex]
[tex] = x = \frac{144}{6} [/tex]
[tex]\hookrightarrow\color{hotpink} x = \color{hotpink}24[/tex]
To find whether or not we have found out the correct value of x, let us place 24 in the place of x :-
[tex] = 2x + 36[/tex]
[tex] = 2 \times 24 + 36[/tex]
[tex] = 48 + 36[/tex]
[tex]\color{olive}∠(2x + 36) =\color{hotpink} 84°[/tex]
Then :-
[tex] = 4x[/tex]
[tex] = 4 \times 24[/tex]
[tex]\color{olive}∠4x =\color{hotpink} 96°[/tex]
As , the sum of both these angles are adding upto 180° (84+96=180) , we can conclude that we have found out the correct value of x .
Therefore, the value of :-
[tex]\boxed{\color{olive}x \: \:\bold{\color{hotpink} = 24}}[/tex]
4. Two cars are starting from positions that are 20 miles apart. They are both headed for the same intersection, as depicted in the diagram below. Car A is traveling at 30 mph, and Car B is traveling at 45 mph. Which car will reach the intersection first?
Part I: Use the law of cosines to determine how far Car B has to travel to reach the intersection. (2 points)
Part II: Use to determine the time necessary for Car A to reach the intersection. Round your answer to the nearest hundredth of an hour. (1 point)
Part III: Use to determine the time necessary for Car B to reach the intersection. (1 point)
Part IV: Which car reaches the intersection first, and by how many hours? (2 points)
Part 1: Using the law of cosines, Car B has to travel a distance of approximately 20 miles to reach the intersection.
Part 2: Car A takes around 0.67 hours to reach the intersection.
Part 3: Car B takes approximately 0.44 hours to reach the intersection.
Part 4: Car B reaches the intersection first, approximately 0.23 hours (or 14 minutes) ahead of Car A.
Part I: To determine how far Car B has to travel to reach the intersection, we can use the law of cosines. According to the diagram, we have a triangle with sides of lengths 20 miles (the distance between the cars) and two unknown sides, which we'll denote as a and b. The angle between the sides of lengths 20 miles and a is given as 90 degrees.
The law of cosines states that in a triangle with sides of lengths a, b, and c, and with the angle between sides a and b denoted as angle C, the following equation holds:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
In this case, we know that side c has a length of 20 miles, and angle C is 90 degrees. Let's denote the distance Car B has to travel as b. Plugging in these values into the equation, we have:
[tex]20^2 = a^2 + b^2 - 2ab * cos(90)[/tex]
[tex]400 = a^2 + b^2[/tex]
So, Car B has to travel a distance of[tex]\sqrt{ (400)}[/tex] = 20 miles to reach the intersection.
Part II: To determine the time necessary for Car A to reach the intersection, we can use the formula: time = distance / speed. Car A is traveling at a speed of 30 mph, and we know the distance between the cars is 20 miles. Therefore, the time necessary for Car A to reach the intersection is:
time = 20 miles / 30 mph = 0.67 hours (rounded to the nearest hundredth).
Part III: Similarly, for Car B, we can use the same formula: time = distance / speed. Car B is traveling at a speed of 45 mph, and we found that the distance Car B has to travel is 20 miles. Therefore, the time necessary for Car B to reach the intersection is:
time = 20 miles / 45 mph ≈ 0.44 hours (rounded to the nearest hundredth).
Part IV: To determine which car reaches the intersection first, we compare the times calculated in Part II and Part III. Car A takes approximately 0.67 hours to reach the intersection, while Car B takes approximately 0.44 hours. Therefore, Car B reaches the intersection first, and it does so approximately 0.23 hours (or 14 minutes) earlier than Car A.
In summary, Car B reaches the intersection first, traveling a distance of 20 miles, and it does so approximately 0.23 hours (or 14 minutes) earlier than Car A.
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If the figure is a rectangle then it has four sides, opposite sides are congruent and four
right angles.
True or false
Answer:false
Step-by-step explanation:
Find the value of c+8 when c=19
Answer:
27
Step-by-step explanation:
c + 8
(19) + 8
Filler so I can post
Here are two triangles.
A
B
Is Triangle B a rotation of Triangle A? Explain your reasoning.
HELP ASAPP
Answer: no its a reflection.
Step-by-step explanation:
you can see that no matter how you rotate triangle be it can not get all the angles to match but if you were to fold it in half they are a perfect fit. :)
Triangle B is a reflection of triangle A so the given statement is incorrect.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given a triangle A.
If we rotate it about line segment l then it will not go to cover wholly triangle B.
If we rotate triangle A clockwise then the corresponding sides will not match.
If we rotate triangle A anti-clockwise then also corresponding sides will not match.
If we reflect the triangle A about line segment l then it will form an mirror image so if we fold triangle A over line l then it will completely cover triangle B.
Hence "Triangle B is a reflection of triangle A so the given statement is incorrect".
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If f(x)=3(x+5)+4/x what is f ( a+2 )
Which expression includes the factors that can be used to find the zeros of this function?
f(x) = 5x² + 12x – 9
A. (x + 1)(5x – 9)
B. (x – 1)(5x + 9)
C. (x + 3)(5x – 3)
D. (x – 3)(5x + 3)
Answer:
(x+3)( 5x-3)
Step-by-step explanation:
f(x) = 5x² + 12x – 9
Factor
(x+3)( 5x-3)
Step-by-step explanation:
Hey there!
Given;
f(x)= 5x^2+12x-9.
Now, do mid-term factorization.
f(x)= 5x^2 + (15-3)x-9
= 5x^2+15x-3x -9
= 5x(x+3) -3(x+3)
= (5x-3)(x+3)
Therefore the answer is option C.
Hope it helps..
What changes do we see as a result of Earth's rotation? Revolution?
Answer:
Seasons changing
Step-by-step explanation:
help im not sure if i am doign this right or not
Answer:
(a) X = {Bilk, Jas, Piaf, Sydow, Wil}
(b) Y = {Jas, Sydow, Tixo}
Hope that helps.
HELP PLEASE HELP NEEDED with number 2 .
Answer:
B
C
E
F
Step-by-step explanation:
answer is 16 and all b c e f calculate to 16
Slope of (18,-5) ,(18, 20)
Answer:
y2-y1/x2-x1
20-(-5) = 25
18-18 = 0
slope is 25/0
Step-by-step explanation:
What is 1/6 divided by 8?
Answer:
1/48
Step-by-step explanation:
Reduce the the expression by cancelling the common factors.
a car manufacturing company was able to release 1860 units at the end of january based on records they were able to increase their sales by 45 units per month in what month their car sales reached 2310 units
Answer:
11th month which is November
Step-by-step explanation:
1860 + 45(m - 1) = 2310
1860 + 45m - 45 = 2310
1815 + 45m = 2310
45m = 495
m = 11
In month of November their car sales reached 2310 units.
Given that, a car manufacturing company was able to release 1860 units at the end of January based on records they were able to increase their sales by 45 units per month in what month their car sales reached 2310 units.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let number of months be m.
So, 1860 + 45(m - 1) = 2310
⇒ 1860 + 45m - 45 = 2310
⇒ 1815 + 45m = 2310
⇒ 45m = 495
⇒ m = 11
Therefore, in month of November their car sales reached 2310 units.
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Evaluate:
(− 1)(−1)(− 1)(− 1)(− 1)
--------------------------------
(− 1)
Answers:
A) −1
B) 0
C) 1
D) 2
Answer:
1
Step-by-step explanation:
all you do is multiple then devide
Answer:
the answer is B
Step-by-step explanation:
Make p the subject of the formula
m=3n+2p
Answer: [tex]p = \frac{m - 3n}{2}[/tex]
Step-by-step explanation:
We need to isolate p from the given equation.
m=3n+2p
first lets subtract 3n from both sides to get 2p by itself.
m - 3n = 2p
now lets divide by 2 from both sides
m - 3n = 2p
/2 /2 /2
[tex]p = \frac{m - 3n}{2}[/tex]
ASAP h(t)=-5t^2+5t+10
Please help me find roots and roots equation
Answer:
t = -1, 2
Step-by-step explanation:
Step 1: Define
h(t) = -5t² + 5t + 10
Step 2: Factor
h(t) = -5(t² - t - 2)
h(t) = -5(t - 2)(t + 1)
Step 3: Find roots
0 = -5(t - 2)(t + 1)
0 = (t - 2)(t + 1)
t - 2 = 0
t = 2
t + 1 = 0
t = -1
Help please I don’t have understand
Answer:
17
Step-by-step explanation:
For a problem like this, it helps immensely to draw a diagram. In the attached diagram, the solid horizontal lines represent the top, middle, and bottom rungs. The dashed grid lines are marked every 2 rungs vertically. Once you have the diagram, you can count the rungs.
There are 17 rungs on the ladder.
Jared is reading a 300-page book he borrowed from the library. So far, he has read 85 pages. He has 5 more days to read the book before he returns it to the library. How many pages must he read on average per day in order to finish the book before he returns it to the library?
Answer:
43 pages a day
Step-by-step explanation:
(300-85) divided by 5=?: equation
215 divided by 5=?: subtract the groupings
43=1: divide and answer
lim➡️3 (3-x)^2/(x-3)
Answer:
if the limit is three then ans is zero and if limit is -3 then ans is -6
Step-by-step explanation:
it may help you to understand
Answer:
[tex]\boxed{\lim_{x\to 3}\dfrac{(3-x)^2}{(x-3)} =0}[/tex]
Step-by-step explanation:
[tex]\lim_{x\to 3}\dfrac{(3-x)^2}{(x-3)}[/tex]
[tex]\lim_{x\to 3}\dfrac{(3-x)^2}{-(-x+3)}[/tex]
[tex]\lim_{x\to 3}\dfrac{(3-x)(3-x)}{-(-x+3)}[/tex]
Cancel the same factor
[tex]\lim_{x\to 3}-(3-x)[/tex]
[tex]\lim_{x\to 3}(-3+x)[/tex]
Now, once as [tex]x \rightarrow 3[/tex],
[tex]\lim_{x\to 3}(-3+x)=0[/tex]
What is the effect on the graph of the function f(x) = x2 when f(x) is changed to 1/5 f(x)?
Answer:
0
Step-by-step explanation:
f (x)=x^2
f(x)=1/5 (x^2)
f (0)=1/5 (0^2)
f (0)=0
True or False. The Product of 2 integers with the same sign is positive.
get it right and i will give you the crown thing
PROVIDE STEPS. Brainly and 30 points.
Answer:
i got x=24. I might be wrong, please don't be mad.
Step-by-step explanation:
i started with (5x-28)+(x+5)+(2x+11)=180
i combined like terms and got 8x-12=180
then i added 12 to both sides 8x=192
finally i divided by 8 on both side x=24
hopefully this is correct and helped
Answer:
i got x=24. I might be wrong, please don't be mad.
Step-by-step explanation:
i started with (5x-28)+(x+5)+(2x+11)=180
i combined like terms and got 8x-12=180
then i added 12 to both sides 8x=192
finally i divided by 8 on both side x=24
hopefully this is correct and helped
Which is the most efficient way to solve this equation?
x + 7 = 12
n this activity, you will create a linear equation to model a real-world situation. Then you will solve the equation to find the solution.
Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 total miles over four days. Each day, he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days to reach his goal?
Question 1
To solve this problem, first you need to write the expressions for the distance Gavin needs to bike each day. Then, relate these expressions to create an equation that represents Gavin’s situation.
Part A
If x is the number of miles Gavin bikes on the first day, write an expression for the distance he should bike on each of the following three days.
The common ratio of 1.5 by which the distance Gavin rides on each subsequent day of 1.5 indicates;
Part A; Day 1; x, Day 2; 1.5·x, Day 3; 1.5²·x, Day 4; 1.5³·x
Part B; Gavin rides 8 meters on day 1, 12 meters on day 2, 18 meters on day 3, and 27 meters on day 4
What is a common ratio in a sequence?A common ratio is a value that is used to divide or multiply at each stage in a sequence.
The distance Gavin wants to ride each day = 1.5 × The distance he rode on the previous day
The common ratio of the distance Gavin plan to ride on each subsequent day is 1.5, therefore;
Part A; Where x represents the distance Gavin bikes on the first day, we get;
Day 1; Distance Gavin rides = x
Day 2; Distance he rides = 1.5·x
Day 3; Distance he rides = 1.5²·x
Day 4; Distance he rides = 1.5³·x
Part B; The equation that represents Gavin's situation can be found from the expression for the distance he rides each day by adding the distances equating the result to the distance Gavin wants to bike in total, as follows;
x + 1.5·x + 1.5²·x + 1.5³·x = 65
x·(1 + 1.5+ 1.5² + 1.5³) = 65
x = 65/(1 + 1.5+ 1.5² + 1.5³) = 8
x = 8 meters
The distance Gavin rides on each day are therefore;
Day 1; Distance, x = 8 meters
Day 2; Distance, 1.5·x = 1.5 × 8 = 12 meters
Day 3; Distance, 1.5²·x = 1.5² × 8 = 18 meters
Day 4; Distance, 1.5³·x = 1.5³ × 8 = 27 meters
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Costs that remain constant (stay the same) in total dollar amount as the units sold increases are called
A. variable costs
B. product costs
C. mixed costs
D. fixed costs
A Moving to the next question prevents changes to this answer.
Answer: D. Fixed costs
Rent is an example of fixed costs. The amount of rent does not change based on how many items are produced. This is assuming you are not changing the size of the location or expanding to another location.
(1+1+3+2)x0+10-5=
What is the answer?
Answer:
.(1+1+3+2)×0+10-5
= (7)×0+10-5
(7×0) + ((10-5)
0 + 5
= 5
Laquita divides 3 pizzas equally among her 5 children how much pizza does each child receive
Answer:
0.6
Step-by-step explanation:
each child gets just over half a pizza
Answer:
About 4
Step-by-step explanation:
Depends how many slices each pizza is but based on the average 8 slice pizza, 8 slices each pizza 3 pizzas 8*3= 24 slices
24/5= about 4 slices per child with 4 slices left
What is an example of "A transfinite sequence"?
A transfinite sequence is any sequence of numbers which can be indexed by an ordinal number.
What is transfinite sequenceA typical example of a transfinite sequence is the sequence of ordinal numbers themselves, which starts with 0, then 1, 2, 3,etc. continuing through all the countable ordinals and beyond.
Another example is the sequence of functions from the unit interval [0,1] to itself, indexed by the ordinal numbers in the Baire space.
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How do you interpret the estimated value of coefficient of EDU in the following equation:
ln(SALARY)= 1 + 0.02ln(EDU)
where SALARY is annual salary (in thousands) and EDU is years of education?
a.
we predict that 1 year increase in years of education leads to $2000 increase in salary
b.
we predict that 1% increase in years of education leads to 2% increase in salary
c.
we predict that 1 year increase in years of education leads to 2% increase in salary
d.
we predict that 1% increase in years of education leads to 0.02% increase in salary
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The equation is [tex]ln (SALARY) = 1 + 0.02 ln(EDU)[/tex]
generally
[tex]ln (e) = 1[/tex]
=> [tex]ln (SALARY) = ln (e) + 0.02 ln(EDU)[/tex]
Apply log rules
=> [tex]ln (SALARY) = ln[ e(EDU)^{0.02} ][/tex]
=> [tex]SALARY = e(EDU)^{0.02}[/tex]
When EDU is increase by 1% we have that
[tex]\frac{1}{100} * EDU + EDU[/tex]
=> [tex]1.01 EDU[/tex]
So the new SALARY will now be
[tex]SALARY'' = e(1.01EDU)^{0.02}[/tex]
The ratio by which the new SALARY will increase is obtain by dividing the value of new SALARY (SALARY'' ) with that of the former SALARY (SALARY) and this mathematically represented as
[tex] \frac{SALARY'' }{SALARY} = \frac{e*1.01 (EDU)^{0.02}}{e (EDU)^{0.02}}[/tex]
=> [tex]\frac{SALARY ''}{SALARY} = 1.0002[/tex]
Generally the percentage increase of salary is mathematically evaluated as
[tex]k= (\frac{SALARY''}{SALARY} - 1 ) * 100[/tex]
=> [tex]k= (1.0002 - 1 ) * 100[/tex]
=> [tex]k= 0.02 \%[/tex]
