Answer: B. 4x-2y=2
Step-by-step explanation:
We will work this out one by one. Plug in the x and y values of the solution to the equations and you will see which one is true or false.
A. [tex]2(1)+y(1)=2\\2+1\neq 2[/tex] B. [tex]4(1)-2(1)=2\\4-2=2[/tex]
C. [tex]2(1)-2(1)=2\\2-2\neq 2[/tex] D. [tex]x(1)+y(1)=4\\1+1\neq 4[/tex]
With this information, we see that B is the correct answer.
I hope this helped!! Pls mark brainliest!! :))
A plane flies at 350 mph in the direction 40° north of east, with a wind blowing at 40 mph in the direction 30° south of east. What is the plane’s drift angle?
5.90°
6.38°
45.89°
46.38°
If the plane flying in direction of 40° north of east at a speed of 350 mph and wind is blowing at 40 mph in the direction 30° south of east. then the drift angle will be 5.9 °.
Let's assume east as x axis and north as y axis.
Breaking velocity of plane into components
350 cos40° î + 350 sin40° ĵ
(350 × 0.76604) î + (350 × 0.64278) ĵ
268 î + 225 ĵ
Breaking velocity of wind into components
40 cos30° î - 40 sin30° ĵ
(40 × 0.86602) î - (40 × 0.5) ĵ
34.64 î - 20 ĵ
Now adding velocity of wind to velocity of plane as
The resultant velocity of the plane = initial velocity of plane + velocity of wind
( 268 + 34.64 ) î + ( 225 - 20 ) ĵ
302.64 î + 205 ĵ
So the final velocity of plane will be 302.64 î + 205 ĵ
Lets assume the angle of final velocity from east be θ
So Tan θ = perpendicular / base
So Tan θ = 205 / 302.64
Tan θ = 0.677
θ = Tan⁻¹(0.677)
θ = 34.12 °
As we know,
Drift angle is the difference of initial and final angle of the object measured from same reference.
Drift angle=| Initial angle of plane from east - final angle of plane from east |
Drift angle= | 40 - 34.12 |
Drift angle= 5.87 ° ≈ 5.9 °
So we used the concepts of vectors to solve the above question, first we find out the the final angle of plane from east and then takes the difference of initial and final angle from east to find the drift angle and that we got as 5.9 °.
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If a/b = 3b, what is the value of 6b/a ?
A = 2/a
B = 2/b
C = 2a
D = 2b
Answer:
2/b
Step-by-step explanation:
a/b=3b
a=3b*b
a=3b^2
6b/a=6b/(3b^2)=2/b
If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?
Answer:
[tex]\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to}[/tex] [tex]\text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}[/tex]
Step-by-step explanation:
Given:
p(x) = 2x2 - 1q(x) = 3(x - 1)To find:
(p - q)(x)We know:
(p - q)(x) = p(x) - q(x)Substitute
(2x^2 - 1) - 3(x - 1)[tex]\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}[/tex]
Jim thinks of a number (n). He adds 5 to the
number then multiplies the result by 7.
(a) Write this as a expression.
The answer Jim gets is 91.
(b) Work out the number Jim thought of.
Show all your
working.
Answers + Step-by-step explanation :
a) the equation should be:
7(n + 5) = 91 since you first add 5 to n and then multiply it by 7. The answer is 91 so that is on the other side of the equal sign
b) we can solve our equation to find for n, the number jim thought of
7(n + 5) = 91
I will use the distributive property.
7n + 35 = 91
Subtract 35 on both sides
7n = 56
Now divide 7 on both sides to find n
n = 8
The number Jim was thinking of was 8! this should be correct, hope this helps!
What is the y-intercept of the function f(x) = 2.3*?
A. (0,6)
B. (2,0)
C. (0,2)
OD. (0,3)
What is the value for y?
Enter your answer in the box.
Answer:
angle A=angleB .…(समदिबाहु त्रिभुज भएर)
34°=(x-5)°
or, 34=34
angleA+angleB+angleC=180°
or, 34+34+4y=180
or, 68+4y=180
or, 4y=180-68
or, 4y=112
or, y=112÷4
or, y=28
It takes 15 men, 48 days to weed a plot of land. How
의
plot of land in 16 days, if
mary men can weed the same
kry work at the sametime?
Answer:
it takes 48 days for 15 men to work
it takes 16 days for 15/48*16
the answer is 5 men
Answer:
45 men
Step-by-step explanation:
If you 1/3 the amount of time (from 48 to 16 ) to weed the plot, you will need to TRIPLE the number of men to 45 men
Identify the inverse g(x) of the given relation f(x).
f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}
g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}
g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}
g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}
g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
Answer:
Last choice
Step-by-step explanation:
The basic definition of inverse function is both domain and range are swapped.
The domain is defined as set of all x-values while range is defined as set of all y-values.
If we have set of function h = {(1,2), (3,4), (5,6)} then the inverse will be {(2,1), (4,3), (6,5)}. Thus, if set of (x,y) is original function then set of (y,x) will be inverse of set of (x,y).
Henceforth, the inverse of f(x) will be g(x) = {(3,8), (1,4), (-1,0), (-3,-4)}.
Answer:
D. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
Step-by-step explanation:
hope this helps:)
Please help!!!
What is the area of , given that θ=π/3 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show all your work.
Answer:
A = 1.5 π in² ≈ 4.7 in²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{\pi }{3} }{2\pi }[/tex]
= π × 3² × [tex]\frac{1}{6}[/tex]
= 9π × [tex]\frac{1}{6}[/tex]
= 1.5π in²
≈ 4.7 in² ( to the nearest tenth )
Mr.krabs sold a total of 29 krabby patties and krabby shakes. krabby patties cost $3 each while krabby shakes cost $2 each and he made a total of $70 . how many krabby patties and krabby shakes did mr.krabs sell?
Answer:
s = 12 and p = 17
Step-by-step explanation:
→ Set up 2 simultaneous equations
p + s = 29
3s + 2p = 70
→ Rearrange the first equation for p as the subject
p = 29 - s
→ Substitute into 2nd equation
3s + 58 - 2s = 70
→ Solve
s = 12
→ Substitute into first equation
p + 12 = 29
→ Solve
p = 17
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.
A function assigns the values. The correct option is B and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is 16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,
The distance traveled depends on the amount of time Marlene rides her bike.
The function f(t) = 16t represents the scenario.
Hence, the correct option is B and E.
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Answer:
B and E
Step-by-step explanation:
correct on Edge
(6+9)2+6(600-9)+600 divide 30
Step-by-step explanation:
GIVEN
HERE
= 6+9+2+6+600÷30 { firstly add numbers }
= 623 ÷ 30
= 20
I think you understand
please help me
I'll mark you brainlist
Answer:
There are 16 notes of 20 paise's and 12 notes of 5 paise's.
Explanation:
The amount of notes for of 20 paise and 5 paise coins are not given.
So let there be x 20 paise's coins and y 5 paise's coins.
Equation buildup:
20x + 5y = 380 ___eq 1
20y + 5x = 380 - 60
20y + 5x= 320 ___ eq 2
Make x the subject for both:
1st
[tex]\rightarrow \sf 20x + 5y = 380[/tex]
[tex]\rightarrow \sf 20x = 380-5y[/tex]
[tex]\rightarrow \sf x = 19-0.25y[/tex]
2nd
[tex]\sf \rightarrow 20y + 5x = 320[/tex]
[tex]\sf \rightarrow 5x = 320-20y[/tex]
[tex]\sf \rightarrow x= 64-4y[/tex]
Solve them simultaneously:
[tex]\sf \rightarrow 64-4y =19 - 0.25y[/tex]
[tex]\sf \rightarrow -4y+0.25y =19 -64[/tex]
[tex]\sf \rightarrow -3.75y =-45[/tex]
[tex]\sf \rightarrow y =12[/tex]
Find x:
[tex]\sf \rightarrow x = 64-4y[/tex]
[tex]\sf \rightarrow x = 64-4(12)[/tex]
[tex]\sf \rightarrow x = 16[/tex]
The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what is the equation of line B? Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line B ? Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .
Answer:
Step-by-step explanation:
If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the points are (2,7)
The slope of line A is,
m = 6/2
m=3
The equation of the line is,
y-(-1)=3x
y=3x+1
Since the line B is parallel to A the slope of the line is the same,
y-(-7)=3(x-2)
y=3x+1
Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.
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Find a rational number between -1/3 and 1/2
Answer:
1/6
Step-by-step explanation:
Rational numbers between two rational numbers:
First find the Least Common Denominator for 2 and 3Then find equivalent fractions with the LCD.LCD of 2 and 3 = 6
[tex]\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}[/tex]
[tex]\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}[/tex]
a company's stock begins the week with a price of 43.85 per share the price changes by 2.70 each day for 2 days then the price changes by -1.10 each day for 2 days on the last day the price changes by -4.45 what is the price per share of the company's stock after those 5 days
Step-by-step explanation:
so, in other words, the price is
43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =
= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =
= 43.85 - 1.25 = 42.60
Use the following information for problems 5-8.
f(2, 33) = 5.5, p < 0.01
1) how many groups were in this study?
a) 34
b)33
c) 3
d) 2
how many participants were in this study?
a) 36
b) 33
c) 3
d) 2
what is the f ratio?
a) 5.5
b) 2
c) 33
d) 0.01
The number of groups is 3, the number of participants is 36, and the f ratio is 5.5.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
f(2, 33) = 5.5, p < 0.01
From the above details, we can find the number of groups:
5) Number of groups = df for groups + 1
Number of groups = 2+ 1 = 3
Option (c) is correct.
6) Number of participants =2 + 33 + 1 = 36
Option (a) is correct.
7) f ratio = 5.5
Option (a) is correct.
8) True; as the p-value is less than the 0.01 level.
Thus, the number of groups is 3, the number of participants is 36, and the f ratio is 5.5.
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help please i dont get it
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
__
The rules of logarithms that apply are ...
[tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]
__
take antilogsWe can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
[tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]
__
solve the quadraticAdding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]
[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]
Take 4 right[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]
Help asap
What is the end behavior of the following graph
Using limits, it is found that the end behavior of the graph is given as follows:
It rises to the left, and stays constant at y = -4 to the right.
What is the end behavior of a function f(x)?It is given by the limits of f(x) as x goes to infinity.
In this problem, the function is given by:
[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]
Hence:
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]
Hence:
It rises to the left, and stays constant at y = -4 to the right.
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Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
The area of the deck that surrounds the hot tub is 17.93 m²
What is Area?
The area is the amount of space within the perimeter of a 2D shape.
radius = 3/2 = 1.5 m
Area of deck,
=Area of square - area of circle
= side side- πr²
=5*5 - 3.14* 1.5*1.5
= 25- 7.065
= 17.93 m²
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Which graph represents the function f(x) = 3x-2/X-2
Answer:
Step-by-step explanation:
Simplify the expression
-17.8a-2.4a+25-19.5
Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
A square plastic tarp has sides that are 6 meters long. what is the tarp's area
Answer:
no comprendo nada de esto lo siento
Step-by-step explanation:
no comprendo
Help Me. I need to get back on track on common factors and factors.
Answer:
A) 1, 2, 4
Hope this helps you!
Answer:
A. 1, 2, 4
Step-by-step explanation:
32= 1*32, 2*16, 4*8
36* 1*36, 2*18, 3*12, 4*9, 6*6
Common factors: 1, 2, 4
So the Answer is A.
The theater sells two types of tickets: adult
tickets for $17 and child tickets for $10.
Last night, the theater sold a total of 403
tickets for a total of $5563. How many adult
tickets did the theater sell last night?
Show your work here
PLEASE HELP
Answer:
219
Step-by-step explanation:
adulta 219×17=3723
5563-323=1840
1840÷10=184 kids
219+184=403
Which equation has a graph that lies entirely above the x-axis?
y = -(x + 7)² + 7
y= (x-7)²-7
y= (x-7)² +7
y= (x-7)²
Heyo!
The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.
Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!
Answer:
Step-by-step explanation:
For what value of g does the function f(g) = g2 + 3g equal 18?
A.
2
B.
3
C.
4
D.
6
E.
8
Answer:
B) 3
Step-by-step explanation:
f(3) = 3^2 + 3(3) = 9 + 9 = 18
I need this due by tonight what is 45+x=75
Answer:30
Step-by-step explanation: jus subtract total number by 45 to c what u missin
Given: [tex]\textsf{45 + x = 75}[/tex]
Need: [tex]\textsf{The value of the unknown x}[/tex]
Solution: In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.
Subtract 45 from both sides
[tex]\textsf{45 - 45 + x = 75 - 45}[/tex][tex]\textsf{x = 75 - 45}[/tex][tex]\textsf{x = 30}[/tex]After simplifying the expression we were able to determine that x is equal to 30.
A rotation R takes A(1,-3) to A'(3,5) and B(0,0) to B'(4,-6). find the centre of rotation?
The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given points;
A(1,-3)
A'(3,5)
B(0,0)
B'(4,-6)
C is the center point of rotation.
The given points are plotted on the graph and obtained as the center of rotation will be (0,4).
Hence the center of rotation will be (0,4).
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Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answer:
-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3
Step-by-step explanation:
for this question you are choosing the lines that do not touch
the graphs for the second third and fourth ones all touch
but
the first and last one do not
therefore those are the ones with no solution
Answer:
Graph 1 and Graph 5
Step-by-step explanation:
As the first and final graphs do not intersect at any points on their graphs, they have no solution.