let
d1 = 250 mi the distance that Mattie Evans drove
v1 = the speed of Mattie Evans
d2 = 1300 mi the distance the plane traveled
v2 = the speed of the plane
The speed of the plane was 190 mph faster than the speed of the car:
v2 = v1 + 190
since time = distance/speed and they both traveled the same time we have
d1/v1 = d2/v2
250/v1 = 1300/v2 cross multiply
250v2 = 1300v1 divid eboth sides by 50
5v2 = 26v1
by solving the system of equations:
v2 = v1 + 190
5v2 = 26v1
we find
v1 = 45.24 mph
v2 = 235.24 mph
Plz, Help Me Quickly!!!
What is the equation of a horizontal ellipse with a major axis = 12 and a minor axis = 10?
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The standard form of an ellipse with horizontal major axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where a > b
since a = 12, b = 10, hence:
[tex]\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Find out more on ellipse at: https://brainly.com/question/19507943
An account earns 8.4% interest compounded monthly. If 12,000 is invested in the account initially, how much
interest is earned in this account over a 25 year period?
Answer:
$30,2400
Step-by-step explanation:
First, we need to find how much interest he earns in a month
8.4% of $12,000 = $1,008
Next, we multiply the amount of interest per month by the number of months in 25 years
25 years = 300 months
Now we can multiply the two values to get our final answer
1,008 x 300 = $30,2400
PLEASE HELP QUICKLY Determine the equivalent system for the given system of equations: 5x + 3y = 1 4x − 5y = 4
Answer:
x = 32/67 y = 36/67
Step-by-step explanation:
5x+3y = 4 ------1
14x-5y = 4 -------2
1×5 ; 25x+15y = 20 --------3
2×3 ; 42x-15y = 12 -------4
3+4 ; 67x = 32
x = 32/67
5×(32/67)+3y = 4
y = 36/37
Answer:
2x + 3y = 7
9x − 2y = 4
Step-by-step explanation:
i did the quiz on flvs
Which three points are collinear?
according to defination of collinear points :Three or more points are said to be collinear if they all lie on the same straight line.
therefore, A,B,C points are collinear.
Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
hope this helps
Does anyone get this question?
Answer:
a= 121°
b=62°
c=59°
Step-by-step explanation:
I first found b because they are vertical angles
Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.
By adding angles b and c they would give me the measure of angle a.
__________________________________________________________Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a
teaspoon when the water level goes above the next whole gallon
Which graph models the number of teaspoons of food depending on the amount of water?
Answer:
The answer is A. Edge 2022. Hope this helps
Step-by-step explanation:
The next closest one would've been C. But they asked for the teaspoons based on the amount of water not over a constant period of time. So A is right.
Answer:
A
Step-by-step explanation:
Find the circumference of a circle with a radius of 11.15 cm
Answer:
390.377
Step-by-step explanation:
pi*r^2
which inequality is a true statement select each correct answer
Answer:
A. False
B. True
C. False
D. False
E. True
Hope This Helps!!!
While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a 60° angle with the ground.” He wants to buy a ladder to paint a two-story house. How long does his ladder need to be in order to reach the top of the house if the house is 27 feet tall?
The length of the ladder needed to reach the top of the house is 31.2 feet.
Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.
Let d represent the length of the ladder. Using trigonometric ratio:
[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]
The length of the ladder needed to reach the top of the house is 31.2 feet.
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(789+890)=(2992) answer it and i give u a taco
Answer:
False
Step-by-step explanation:
789+890 = 1679
Answer:
789+890+1313=2992
Step-by-step explanation:
please help with geometry problems
Answer:
put your best gees
Step-by-step explanation:
Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?
Answer:
10
Step-by-step explanation:
I converted 8 hours to minutes so solve the equation easily
8 hours = 480 minutes
I subtracted the amount of time she takes for a break
480- (15+15) = 450
To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.
[tex]\frac{450}{45}[/tex]= 10
Therefore, she could fix 10 computers during her 8 hours of work.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
what is the sum of 4 and -5
Answer:
-1
Step-by-step explanation:
its like subtracting 5 and 4
sooooooooooooooooooooooooooooo easy
Answer:
11/12..................
Answer:
J) 11/12
Step-by-step explanation:
The art club in Northwestern middle school is selling candy bars as a fundraiser. each art club member....
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answer:
9 hours
Step-by-step explanation:
Answer:
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
number of hours in a day = 24
according to scientists ,
we should sleep number of hours = 3/8
therefore ,
[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]
hope helpful~
What is the largest power of 2 that is a divisor of 13^4 - 11^4?
Answer:
[tex]2^5[/tex]
Step-by-step explanation:
Given:
[tex](13^4 - 11^4)(13^2+11^2)[/tex]
add all together with exponents
=48*290
= Then turn into a smaller exponent
= [tex]2^4 * 3 * 2*145[/tex]
combine like terms
[tex]2^4 *2[/tex]
=[tex]2^5[/tex]
Answer:
5
Step by step explanation :
13^4-11/4=13920
2^5=32
13920÷32=435
Therefore largest power = 5
Please mark me as the brainliest answer
Thank you ☺
What is an equivalent expression to 7x - 3y + 8x ?
Answer:
15x-3y
Step-by-step explanation:
Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.
PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
Can someone plz help Me?
Answer:
D
Step-by-step explanation:
As the y value doesn't change between the points that means that it would be reflected over the y axis
The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
Answer:
327.21 euros.
Step-by-step explanation:
(3x – 1) : (x - 2) = x – 2x (x—4)
срочно, сор.
[tex]\frac{3x-1}{x-2}=x-2x(x-4) <=>\frac{3x-1}{x-2}=x-2x^{2} +8x \\<=>\frac{3x-1}{x-2}=-2x^{2} +9x<=>3x-1= (-2x^{2} +9x)(x-2)\\<=>3x-1= -2x^3+4x^{2} +9x^{2} -18x\\<=>3x-1=-2x^3+13x^{2} -18x\\<=>2x^3 -13x^{2} +18x+3x -1=0\\<=>2x^3 -13x^{2}+21x-1=0\\<=> x =0.05 /or/x=3.7[/tex]
ok done. Thank to me :>
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1.
Using translation concepts, it is found that the parent function was:
Reflected over the x-axis.Horizontally compressed by a factor of 2.Shifted right 4 units.Shifted up 1 unit.The parent function is:
[tex]f(x) = \log{x}[/tex]
The first transformation is:
[tex]\log{x} \rightarrow \log{-x}[/tex]
Which means that it was reflected over the x-axis.Then, [tex]\log{-x} \rightarrow \log{-2x}[/tex], which means that it was horizontally compressed by a factor of 2.
Then, [tex]\log{-2x} \rightarrow \log{-2x - 4}[/tex], which means that it was shifted right 4 units.
Finally, 1 was added to the function, which means that it was shifted up 1 unit.
To learn more about translation concepts, you can take a look at https://brainly.com/question/4521517
The solution set of inqulity 4>-2x in R is …
[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]
HELPPPPPPP PLSSSSS!!!!!! 100 points
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
Answer:
B.of the AAS congruence theorem.
Step-by-step explanation:
hope this helps!
5(2+(-9))+-25
HELP
PLZZ
Answer:
-115
Step-by-step explanation:
Using BODMAS
+(-9) = -9
2(-9) = -18
5(-18) = -90
(-90) + (-25) = -90 - 25 = -115
Please help :)
Chloe is an acrobat in a local circus. Her job is to move across a tightrope from point A to point B while blindfolded! She can only move using the distances that you tell her to move in your instructions. Chloe may go past the ladder. However, if she does, make sure she turns around and goes back toward the ladder.
Use the link: Link
Your Task: Work with your partner to find different combinations of the lengths given in parts (a) through (d) below that will allow Chloe to move from point A and end at point B (the end of the tightrope). You may use each length as many times as you like. .
1. For each crossing, look for at least three different ways to get the acrobat across. *Draw a diagram on your paper that shows the solution with the least amount of steps. *For the neither 2 write a number sentence/equation.
Explanation:
We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.
(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)
(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)
(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)
(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)
A plane travels 460 miles per hour. how many miles does the plane travel in feet per second?
Answer:
674.667 feet per second
If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?
Step-by-step explanation:
I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:
60% = 180
÷6
10% = 30
x4
40% = 120
(if you want to find 100%, multiply 30 by 10)
Hopefully this helps :)