Answer:
the answer is 4133.33...km
Explaination:
Distance = speed x time
Distance = 1240 x 10 / 3 = 4133.33... Km
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Find the Lowest Common Multiple of 3, 5 and 6.
Which numbers are a distance of 6 units from 2 on the number line? Select the location on the number line to plot each point.
-5 -4 -3 -2 -1 0 +EEE 4 5 6 7 8 9 10 1 2 3
Answer:
We reach at 8.
Step-by-step explanation:
The starting point is 2 .
Jump at the six places, the final point reaches at 8, so the point is 8.
wich is a solution to (x-3)(x+9)=-27?
Answer:
=0=−6
Step-by-step explanation:
Help me please this is due today and it’s late help help!!
Step-by-step explanation:
I know A is one because positives and negitives are oppisite but i dont know if there are more
A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.
Answer:
So, the difference is 44874.
Step-by-step explanation:
Multiplication of 4986 by 45
= 4986 x 45 = 224370
Multiplication of 4986 by 54
= 4986 x 54 = 269244
So, the difference in results is
= 269244 - 224370 = 44874
A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.
The equation that can be used to find the value of s is
× s = ??
The speed of the car is ??
miles per hour.
PLEASE HELP (also thanks for the answers on the last couple of questions yall)
Answer:
Step-by-step explanation:
This is a distance = rate times time problem where you are calling the rate "speed" instead. So our formula for distance then is distance = speed times time which is
d = st
The distance traveled in 126 miles and the time it took to do this was 3 hours. Filling in those values gives us
126 = s3 or
126 = 3s since multiplication is commutative. Solve for s by dividing both sides by 3 to get
s = 126/3 which is
s = 42 miles per hour
part ion even know of the hardest test
Given:
The equation of a line is:
[tex]y=-\dfrac{5}{7}x+2[/tex]
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=-\dfrac{5}{7}x+2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{5}{7}[/tex]
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{5}{7}\times m_2=-1[/tex]
[tex]m_2=\dfrac{7}{5}[/tex]
Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:
[tex]y-y_1=m_2(x-x_1)[/tex]
[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]
[tex]y+3=\dfrac{7}{5}(x+5)[/tex]
Using distributive property, we get
[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]
[tex]y+3=\dfrac{7}{5}x+7[/tex]
[tex]y=\dfrac{7}{5}x+7-3[/tex]
[tex]y=\dfrac{7}{5}x+4[/tex]
Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.
line m is perpendicular to line n if the slope of line m is 3/2 what is the slope of line n
Answer:
definantly 3/2
Step-by-step explanation:
perpendicular means same slope
What type of polynomial is: 2x - 4x^3 - 7 + 6x^2
A. quadratic
B. linear
C. quartic
D. cubic
Answer:
Option D
Step-by-step explanation:
Given polynomial :-
=> 2x - 4x³ -7 + 6x²
Here the highest degree of variable is 3 ,
Therefore it is a cubic polynomial .
Multiple Choice:
Suppose a triangle has sides 3, 4, and 5. Which of the following MUST be true?
A. The triangle in question may or may not be a right triangle.
B. The triangle in question is a right triangle.
C. The triangle in question is not a right triangle.
Answer:
b. the triangle is not a right triangle
Step-by-step explanation:
Answer:
The triangle in this particular question may or may not be a right angled triangle
Step-by-step explanation:
~basically triangle are known to have 3 sides otherwise we would not call it a triangle...however in this particular question they may be no definite answer and triangle with 3 sides can be any sort of triangle:
-isosceles triangle with 3 uneven sides
-right angled triangle like stated with an hypotenuse
or
-scalene triangle with simply to equal sides...
glad I could help thumbs
disclaimer this answer may not be accurate and I do not take any responsibility if this answer is wrong thank you
Draw the two lines y = 2x + 2/3, and y = 2x + 1/3. They are parallel a
Answer:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
Please help on number 15 thank you!
Three trees are planted. The direct distance from tree A to tree B is 200 feet. The direct distance from tree B to tree C is 300 feet. Which of the choices could be the direct distance from tree A to tree C?
Answer:
500ft
Step-by-step explanation:
DISTANCE BETWEEN TWO POINTS
We want to firstly assume that the the three trees lies on the same line
so tress A,B and C are on the same line
Given
The direct distance between A to B= 200 ft
The direct distance between B to C= 300 ft
hence A to C= 200+300= 500ft
let us do a graphical representation for better understanding
A----B-----------C
200ft 300ft
A---------- -----C
500ft
A to C= 500ft
A flower shop has 8 bouquets of red lilies, 5 bouquets of pink lies and 7 bouquets of violet lilies. Raymond who is colorblind buys his gf a bouquet of lilies. What is the probability of raymond not picking red lilies
Answer:
12/20, or 3/5
Step-by-step explanation:
To find the probability of Raymond not picking red lillies, we first must establish the total amount Raymond can choose from as well as the amount of non-red lillies.
The total amount Raymond can choose from is the amount of bouqets. There are 8 red ones, 5 pink ones, and 7 violet ones. This means that there are 8+5+7=20 total bouquets.
The amount of non-red lillies is determined because we are asked to find the probability of selecting a non-red bouquet. We find the number of non-red bouquets by subtracting the total (20) by the number of red bouquets (8) to get 12.
Therefore, the total amount is 20 and the number of non-red bouquets is 12. Thus, if Raymond picks one bouquet, the probability of him selecting a non-red one is 12/20, or 3/5. The probability of him picking up a red bouquet, similarly, would be 8/20, as there are 8 options of red bouquets out of 20 total
Question is in picture
Answer:
obtion b and d
Step-by-step explanation:
4x + 5 = -4x + 5
4x + 4x = 5 - 5
8x = 0
x = 0/8
x = 0 (this has solution)
-4x + 5 = -4x - 4
-4x + 4x = -4 + 5
0 = -1 (this has no solution)
5x + 5 = -4x - 4
5x + 4x = -4 - 5
9x = -9
x = -9/9
x = -1 (this has solution)
-4x + 5 = -4x - 5
-4x + 4x = -5 -5
0 = -10 (this has no solution)
Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?
Answer:
ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )
Step-by-step explanation:
as per question
1- (2x-7)²
= (1 + 2x - 7)(1- 2x + 7)
= ( 2x - 6)(-2x +8)
= -4(x-3)(x+4)
The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
What is the polynomial?
Polynomials are algebraic expressions that consist of variables and coefficients.
What is the identity for [tex](a-b)^{2}[/tex]?[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]
According to the given question
We have a polynomial [tex](2x -7)^{2}[/tex].
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by
[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]
⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
Now,
[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]
⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]
Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
Learn more about polynomials here:
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Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight
Answer:
515,857,549,048
Step-by-step explanation:
I guess you are to write in numerals
Five hundred fifteen billion = 515,000,000,000
eight hundred fifty-seven million = 857,000,000
five hundred forty-nine thousand = 549,000
forty-eight = 48
Total = 515,000,000,000 + 857,000,000 + 549,000 + 48
= 515,857,549,048
Therefore,
Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight = 515,857,549,048
How do I solve this? (3^0y)^2x2(xy)^0
Answer:
(y ^2 ) (x ^2)
Step-by-step explanation:
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
Helppp meeeee plzzzzzxxzz
Answer:
You will save $20.
Step-by-step explanation:
IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.
1) Some percent of an amount is what?
Using the formula above, I can conclude that 40% is equal to 40/100=4/10=2/5
2) Translate into an equation.
It is important to keep in mind that we are trying to find 40% of $50 in order to find out how much money will be saved.
In the above step, we already found that 40% = 2/5.
I also know that, in mathematics, the word "of" means multiplication.
Therefore, I am trying to find 40% of $50 is the same as 2/5 * $50.
2/5 * $50 = x ------ (x represents the money saved)
3) Solve for variable.
$20 = x
4) Write a sentence to answer the question.
You will save $20.
find the compound ratio of the following
a) 2/15 : 3/7 and 5/8 : 14/27
please help me
give in step by step
Answer:
1/12 : 2/9Step-by-step explanation:
Compound ratio is the multiplication of the ratios:
2/15 : 3/7 and 5/8 : 14/27Multiply to get:
(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9Given ratios,
2/15 : 3/7 and 5/8 : 14/27
Then to find the compound ratio,
We have to multiply,
→ (2/15 × 5/8) : (3/7 × 14/27)
→ 10/120 : 42/189
Now simplify the ratio,
→ 1/12 : 2/9
Thus, required ratio is 1/12 : 2/9.
PLEASE HELP!!!! it’s very urgent due in 10 minutes please help ASAP!
Answer:
s is bigger than m because m is small
pls help I was sick from school and have some much more work to do have a good day yall
Answer:
3 hours :)
Step-by-step explanation:
5 km x 3 = 15km
also i hope you can catch up on ur work :)
Prove algebraically that the straight line with equation x = 2y + 5 is
a tangent to the circle with equation x2 + y2 = 5
Answer:
[tex]{ \tt{line : x = 2y + 5}} \\ { \tt{circle : {x}^{2} + {y}^{2} = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2} + {y}^{2} = 5 }} \\ { \tt{4 {y}^{2} + 20y + 25 + {y}^{2} = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y = - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved[/tex]
Answer:
radius 5
centre -1,2
Step-by-step explanation:
Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p
Answer:
Value of p is 3
Step-by-step explanation:
One of the root is 1.
So, putting 1 in the place of x in the given equation,
px²-4x+3p-8=0
or, p-4+3p-8=0
or, 4p-12=0
or, 4p=12
or, p=3
Answered by GAUTHMATH
On the image below, which is the correct answer?
Answer:
d
Step-by-step explanation:
its the correct answer
Hope this helps:)
if you apply the changes below to the linear parent, f(X)=x, what is the equation of the new function vertically stretch by multiplying by 3. flip over the x-axis
Answer:
f(x) = -3x
Step-by-step explanation:
f(x) = -3x
The distance required to stop a car varies directly as the square of its speed.if 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96miles per hour
Answer:
640 feet.
Step-by-step explanation:
Let d represent the distance required to stop and let s represent the speed of the car.
The distance required to stop varies directly as the square of its speed. In other words:
[tex]d=ks^2[/tex]
Where k is the constant of variation.
250 feet are required to stop a car traveling 60 miles per hour. Substitute:
[tex](250)=k(60)^2[/tex]
Simplify and solve for k:
[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]
So, our equation is:
[tex]\displaystyle d=\frac{5}{72}s^2[/tex]
Then the distance required to stop a car traveling 96 miles per hour will be:
[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]
The formula for the volume of a cylinder is Y = gr). Solve y = grn for h, the height of the cylinder. O A. = O B. has Yr2 OC. h - TV O D. h =
PLEASE HELP ASAPPPPPPPPPPPPP
if f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?
Answer:
x = 4/5 is the one x value that is not permitted. The domain of (fog)(x) is
(-infinity, 4/5) ∪ (4/5, infinity)
Step-by-step explanation:
(fog)(x) is the "composition" of f and g. We start with f(x) and replace x with g(x), which is 5x - 4:
3
f(x) = x - ------- becomes
x
3
f(5x - 4) = [5x - 4] - ------------
[5x - 4]
To identify the domain, consider the value or values of x for which the denominator shown above is zero: 5x - 4 = 0, or 5x = 4, or x = 4/5
The domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The given functions are f(x)= x-3/x and g(X)=5x-4.
Now, (f·g)(x)=f(x)×g(x)
= (x-3/x)(5x-4)
(f·g)(x)= 5x²-15-4x+12/x
Find the domain by finding where the expression is defined.
Interval Notation: (-∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
Therefore, the domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).
To learn more about the domain and range visit:
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