Velocity can be represented in horizontal and vertical components
The horizontal component form of the velocity is 12.5 mph
How to determine the component form of the velocityThe given parameters are:
Velocity = 25 mph
Angle = 60 degrees
The horizontal component form of the velocity is then calculated as:
[tex]v_x = 25 * \cos(60)[/tex]
Evaluate the product
[tex]v_x = 12.5[/tex]
Hence, the horizontal component form of the velocity is 12.5 mph
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x+4=2
what is the qeasoun of this
[tex]x\\[/tex]Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]x+4=2[/tex]
we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):
[tex]x=2-4[/tex]
solve :
[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]
[tex]x=-2[/tex]
now [tex]x[/tex] is equal to [tex]-2[/tex]
Answer:
x = -2
Step-by-step explanation:
x + 4 = 2
x + 4 - 4 = 2 - 4
x = - 2
Triangle ABC has the given measures. Solve the triangle(s), if any exist.
A = 162°, a = 6.1, b = 4
How many triangle(s) can possibly be formed?
Answer: why is there two a’s?
Step-by-step explanation:
if those are the correct angles then 1 can be formed because every triangle always adds up to 180
Answer:
answer is 1
Step-by-step explanation:
I honestly made a lucky guess
Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book? StartFraction 5 Over 121 EndFraction StartFraction 6 Over 121 EndFraction Five-elevenths Six-elevenths.
Answer: c . 6/121
Step-by-step explanation: 100% on edge
The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
ProbabilityGiven:
Beginner book=2
Intermediate book=6
Instructional piano books=11
Advanced books=3
Hence:
Probability=(2×3)÷(11×11)
Probability=6/121
Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
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#SPJ2
Janica’s father is laying square tiles in her room. The length of the side of the tile is 1 foot. Janica’s room is 13 feet by 11 feet. How many tiles will her father use?
Which of the following systems of equations has infinitely many solutions?
Answer:
C. y = x + 4, 2y = 2x + 8Step-by-step explanation:
The system has infinitely many solutions if the two equations are equivalent.
We can analyze the given systems to see:
A)
2x + 7x + y = 6 ⇒ 9x + y = 6 ⇒ y = - 9x + 6y = 9x + 6Different slopes, there is one solution
B)
y = 5x + 7y = 2x + 8Different slopes, there is one solution
C)
y = x + 42y = 2x + 8 ⇒ y = x + 4Same lines, infinitely many solutions
D)
7x - y = 10 ⇒ y = 7x - 10y = 6x + 8Different slopes, there is one solution
Solution:
When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.
Option A - 2x + 7x + y = 6 and y = 9x + 6
=> (9x + y = 6) = (y = 9x + 6)=> (y = -9x + 6) ≠ (y = 9x + 6)Option B - y = 5x + 7 and y = 2x + 8
=> (y = 5x + 7) ≠ (y = 2x + 8)Option C - y = x + 4 and 2y = 2x + 8
=> (y = x + 4) = (2y = 2x + 8)=> (y = x + 4) = (y = 2x/2 + 8/2)=> (y = x + 4) = (y = x + 4)Option D - 7x - y = 10 and y = 6x + 8
=> (7x - y = 10) = (y = 6x + 8)=> (-y = -7x + 10) = (y = 6x + 8)=> (y = 7x - 10) ≠ (y = -6x - 8)Hence, Option C is correct.
alve.
. Tia has 25 china figures in her collection. The horse figures cost $2
each, and the cat figures cost $1 each. She paid $39 for all the figures in
the collection. How many horses and how many cats does she have?
Equations:
Solution:
\frac{2^{2}}{2^{-7}}\times 2\normalsize?
2
−7
2
2
×2?
\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}
is this correct? i added them together to simplify it. (will give brainliest if theres an early response)
Answer: I think the answer is 5.3x + 1.7
What is the equation of the line in slope-intercept form?
Answer:
y=-6x
Step-by-step explanation:
decreasing 6/1 rise/run and no y int
Answer:
y= -6x
Step-by-step explanation:
As you move up vertically from your y-intercept (0,0) six times, you can see that your x-intercept increased by -1. Because your x-intercept has increased by -1, there is a negative sign in front of 6x
There is no number after -6x because the place where your line meets the y-axis (y-intercept) is (0,0).
#8 please write in slope intercept form!
Answer:
we dont know 888484b484 94y48 84y
Step-by-step explanation:
we dont kbow 1298474add on to it and see rther but if not ok
Find the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively.
By using the concept of equation of a Straight line,we arrive to the conclusion that the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively is 5x - 3y + 15 = 0.
Interception is the point where any line or curve crosses the axis.If the point of crossing line in x-axis then it is known as x-intercept .Similarly, if the point lies on y-axis is is named as y-intercept.
Here,according to the quesion:
x-intercept of the line is,a= -5
y-intercept of the line is,b= 3
The equation of the line here by formed with intercepts is:
[tex]x/a +y/b =1[/tex]
therefore x/(-5) + y/3 =1
- 5x+3y = 15
5x -3y+ 15=0
So,the equation of the mention line is 5x -3y+ 15=0
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Solve the inequality and graph the solution. – 8g–13≥3
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: g ≤ −2
Step-by-step explanation:
Which equation can be used to represent the statement? Sixteen is the same as one and two-tenths times a number added to negative 8. 16 1. 2 n = negative 8 16 1. 2 n = 8 16 = 1. 2 n (negative 8) 16 = negative 1. 2 n 8.
The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,
[tex]16=1.2n+(-8)[/tex]
How to write algebraic equation from statement?
Algebraic equation are the expression which consist the variables, coefficients of variables and constants.
The algebraic equation are used represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic equation from statement-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.Given information-
The given statement is 'sixteen is the same as one and two-tenths times a number added to negative 8'.
The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].
The number is sixteen is the same as one and two-tenths times a number added to negative 8.
This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,
[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]
Thus the equation can be used to represent the given statement is,
[tex]16=1.2n+(-8)[/tex]
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Sunshine had $29 and used $10,how much does she have left?
Answer:
Sunshine has $19 left after spending $10.
Step-by-step explanation:
29 - 10 = x
Subract 10 from 29 to solve for x.
x = 19
The complement in the following sentence is
My uncle drives a new car.
1. car
2. drives
3. new
Btw it's not new I tried but it said it was wrong, thanks!
Answer:
belve t would be drives
Step-by-step explanation:
Hope ths helps.
Factor by Grouping:
8x²+12x+2xy+3y
Answer:
(2x +3) (4x +y)
Step-by-step explanation:
refer the image
You and your friend go out to dinner The cost of your meal is 12.75, your friend's meal is 13.95. You tell your friend that you will pay for the meal and the tip the waiter gave excellent service so you want to leave 20% tip. How much will you leave for a tip ?
answer: 5.34
Step by step explanation 12.75 + 13.95=26.7
20% of 26.7 is 5.34
how long will 24 cans of soda last?
Answer:
it depends on the circumstances
Step-by-step explanation:
Answer:
6-9 months I'm pretty sure
6. Find the value of x.
I 5x+ 2
6x + 4
122 - 4
H
J P
Step-by-step explanation:
sum of two interior angles is equal to one exterior angle....this implies that,
(6x+4) +(5x+2)= 12x-4
11x+6=12x-4.......make X the subject
11x-12x=-4-6
-x= -10......divide both sides by -1
x=10
Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)
Answer:
20%
Step-by-step explanation:
(final - initial)/initial
48-40)/40
8/40
1/5
or 20% error
please help me out in this question
Ayuda por favor
x^(2)+2x-a^(2)-4a-3
Translating:
Please help
I believe you want me to factor it, so:
( x + 1/2 )^2 + ( a - 2 )^2 - 14/2
Answer:
[tex]x=a+1,\:x=-a-3[/tex]
Step-by-step explanation:
Remove parenthesis:
[tex]x^2+2x-a^2-4a-3=0[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=a+1,\:x=-a-3[/tex]
A swimming is filled at a constant rate.when half full the pool had 7500 litres poured into it.a) what fraction has still to be put into the pool?b)How much water will be needed when 5000 litres is already in the pool?
Answer:
A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.
B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6
helpp.... -_-llllllllllll
Answer:
I believe that it is 812 tiles.
Step-by-step explanation:
Answer:
812 tiles
Step-by-step explanation:
28 feet by 29 feet is 812, each tile is 1 square foot. This means that there are 812 tiles.
Find the second term of the binomial expansion (a-1)^3
Answer:
[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]
I need help pleaseeee, anyone?!!
Answer this question Please!! (50 point's)
Answer:
0.875
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)
Can someone answer this questions please :))
Answer:
Answer is the second one( -1/2)
Another one? Please help.
Thank you so much!
Hi there!
8.
Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]
Thus, we can rearrange the expression in parts.
[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]
Now, combine these terms:
[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]
More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]
Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]
9)
Begin by solving the inside of the parenthesis.
[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]
10)
Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]
Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).
[tex]=( \frac{y^2}{xz^3})^2[/tex]
Square both the numerator and denominator.
Recall the property:
[tex](x^a)^b = x^{ab}[/tex]
[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]
kindly answer it ....
some problem , pls refer the attachment for your answer
Hope it helps ~