Answer: [tex]12m^2+19m-18[/tex]
Step-by-step explanation:
Given
Speed of boat [tex]v=3m-2\ \text{knots per hour}[/tex]
[tex]\text{time t= }4m+9\ \text{hours}[/tex]
[tex]\Rightarrow \text{Distance =speed}\times \text{time}[/tex]
[tex]\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18[/tex]
3(x-1)≤ ½(x+1) -6. Topic is Linear inequalities
Answer:
[tex]x\le \:-1[/tex]
Step-by-step explanation:
[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]
[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]
[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]
[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]
[tex]5x\le \:-5[/tex]
[tex]x\le \:-1[/tex]
x = -1
3(-2) ≤ ½(0) - 6
-6 ≤ 0 - 6
-6 ≤ -6
This is true.
x = -2
3(-3) ≤ ½(-1) - 6
-9 ≤ -½ - 6
-9 ≤ [tex]-\frac{13}{2}[/tex]
This is also true.
Therefore, x ≤ -1.
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
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
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:
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 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)
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.
Question Progress
Homework Progress
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Find the Lowest Common Multiple of 3, 5 and 6.
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:
brainly.com/question/28135761.
#SPJ7
PLEASE HELP!!!! it’s very urgent due in 10 minutes please help ASAP!
Answer:
s is bigger than m because m is small
The volume of 10 drops of liquid is 0.1 fluid ounces.
What is the volume of 10,000 drops
Answer:
10,000 drops would be 1 fluid ounce
Step-by-step explanation:
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.
Share £35 in the ratio 4:1
Answer:
£28 : £7
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 = 5 parts
Divide the quantity by 5 to find the value of one part of the ratio
£35 ÷ 5 = £7 , then
4 parts = 4 × £7 = £28
£35 = £28 : £7 in the ratio 4 : 1
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
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.
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
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.
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
A timer is started as a ball is dropped from a certain height and its velocity measured. After 0 seconds, the ball is falling at 0 feet per second. After 2 seconds, the ball is falling at 64 feet. After 3 seconds, the ball is traveling at 96 feet and after 4 second the ball is traveling 128. Is this a proportional relationship?
Answer:
yes
because the descent of the ball is 32m per second
Step-by-step explanation:
To determine if the relationship is proportional, determine the descent of the ball per second
after 2 seconds = 64 / 2 = 32
after3 seconds = 96/3 = 32
after 4 seconds = 128 / 4 = 32
the relationship is proportional
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 .
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! :)
6. Is this a relation? Is this a function? Why or why not?
Answer:
the given relation is function because all elements of domain is mapped with the elements of range
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
My friend just asked me do you know Doomhah? Is this one of them you know what jokes?
Answer:
can you make it a bit clear to understan?
On the image below, which is the correct answer?
Answer:
d
Step-by-step explanation:
its the correct answer
Hope this helps:)
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
How do I solve this? (3^0y)^2x2(xy)^0
Answer:
(y ^2 ) (x ^2)
Step-by-step explanation:
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
please help and explain answer
