The numbers 1, 2, 3, 4, 5, 6 are written on identical cards and placed in a bag. A card is selected at
random from the bag. Let A be the event "əb even number is chosen: and let B be the event "a square
number is chosen." Are events A and B independent?

Yes
No

The speed of the river current is 11.5 km/h.

Speed is the ratio of total distance travelled to total time taken. IT is given by:

Speed = distance / time

Let b represent the speed of the current and t represent the time, hence:

(15 + b)= 36/t

t = 36 / (15 + b)

Also:

(15 - b)= 36/(t + 9)

t = [36 - 9(15 - b)]/(15 - b)

Hence:

36 / (15 + b) = [36 - 9(15 - b)]/(15 - b)

b = 11.5 km/h

The speed of the river current is 11.5 km/h.

Find out more on speed at: https://brainly.com/question/4931057

RSM VERIFIED ANSWER

this answer was written by an RSM student, and has been confirmed by the portal

Answer:

3km/hr

not sure how to do it i just copied off my rsm teacher, but its right lol

also would rly appreciate brainliest but i know i didnt have an explaination. I would also really appreciate if other users would thank and rate this answer so people looking at a later date would know its reliable

EGA and AGB aka the fourth option

Step-by-step explanation:

EGA and AGB create a 180 degree angle together

Answer:

14

Step-by-step explanation:

2^3 is 8. 8+4(1.5) is 8+6 is 14.

Answer:

Step-by-step explanation:

Equation that we have been provided with :

And the value of m is 1.5. So we would be simply substituting the value of m in the equation given above and divide it by 2 as per the demand of the question.

[tex]: \longmapsto \: \sf{\dfrac{2 {}^{3} \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{(2 \times 2 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{(4 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: \times (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 6}{2}\: }[/tex]

[tex] : \longmapsto \: \sf{\dfrac{14}{2}\: }[/tex]

[tex]: \longmapsto \: \cancel{\sf{\dfrac{14}{2}\: }}[/tex]

[tex]: \longmapsto \: \red{\bf{7}}[/tex]

Answer:

$1107.55

Step-by-step explanation:

3,589.90 x .0590/12 = $17.653,589.90 + 17.65 =3,607.553,607.55 - 2,500 = $1,107.55

Answer:

No

Step-by-step explanation:

the answer is 3.

3×3×3=27.

therefore the cube root of 27 is 3.

Step-by-step explanation:

a) 8/7

hope it helps u...

Answer:

b.× = 14 16

Step-by-step explanation:

#stay safe

hope it helps

Answer:

Infinitely many

Step-by-step explanation:

There are many solutions because 0=0.

Answer:

About 0.14 acres

Step-by-step explanation:

56 lb = 8 acres

1 lb = x

We can cross multiply:

(8 acres)(1 lb) = (56 lb)(x)

Solving for x:

x = 8 ÷ 56 ≈ 0.14 acres

Answer:

x = 4

Step-by-step explanation:

If y = 36, that means the original y = 18 was multiplied by 2. So, we have to multiply x = 2 by 2 as well.

2 * 2  = 4, so x = 4

Answer:

100cm = 1m

Thus, one more step should be added to your working to arrive at the final answer:

Perimeter

= 10m 160cm

= 11m 60cm

This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.

Alternative working:

Convert all the units to cm first.

[tex]\boxed{1 \: m= 100 \: cm}[/tex]

Length

= 5m 55cm

= 300cm +55cm

= 355cm

Breadth

= 2m 25cm

= 200cm +25cm

= 225cm

Perimeter

= 2(length +breadth)

= 2(355 cm +225 cm)

= 2(580 cm)

= 1160 cm

= 11m 60cm

From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.

However, 10m 160cm is not preferred since the conversion of cm to m is done partially, as the 160 cm can still be further simplified.

Answer:

C. 16 pints

Step-by-step explanation:

1 quart equals to 2 pints

Answer:

answer is 2 pints

Step-by-step explanation:

2 x 4 is 8

Answer:

slope of perpendicular line= -⅕

slope of parallel line= 5

Step-by-step explanation:

y= 5x -4

The equation is in the slope-intercept form, thus the slope is the coefficient of x.

Slope of given equation= 5

The product of the slopes of perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(5)= -1

[tex]m = - \frac{1}{5} [/tex]

Thus, the slope of the perpendicular line is -⅕.

Parallel lines have the same gradient.

Slope of parallel line= 5

What is slope-intercept form?

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

there are 4 cans of soup and 1 of them is tomato

you have a 1 out of 4 chance of picking tomato soup

Answer and step by step esplanation:

The perpendicular line has the slope opposite and inverse, in our case [tex]-4 \rightarrow +\frac14[/tex]

Line passing through the point will have then equation - using the point-slope form [tex]y-y_0=m(x-x_0)[/tex]

[tex]y-5=\frac14 (x-(-5))\\y-5=\frac14(x+5)[/tex]

The parallel line will have the same slope as the given line, in our case -4. Again with the point-slope equation:

[tex]y-5=-4(x-(-5)\\y-5=-4(x+5)[/tex]

Answer:

Perpendicular: y = 1/4x + 5 3/4

Parallel: y = -4x - 7

Step-by-step explanation:

Hello!

A perpendicular line would have a negative reciprocal slope, meaning you flip the sign of the slope, and the numerator and denominator.

Given our equation: y = -4x + 2, we can find the perpendicular slope by finding the negative reciprocal:

So the perpendicular slope is 1/4.

We can now solve for the y-intercept by plugging in the x and y-value of the point into the equation y = 1/4x + b:

The y-intercept is 5 3/4, so the equation of the line would be y = 1/4x + 5 3/4.

_____________________

Parallel lines have the same slope. So we can use -4 as our slope, and plug in the points to find the y-intercept.

So the equation of the parallel line would be y = -4x - 7.

Answer:

y = 4.5x + 9, graphing done below.

Solving steps:

( -2 , 0 ), ( 0, 9)

slope:

[tex]\sf \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \frac{9-0}{0+2}[/tex]

[tex]\sf 4.5[/tex]

equation:

y - 9 = 4.5 ( x - 0 )

y = 4.5x + 9

note: point -2 on x axis and 9 on y axis, and keep the ruler on those two points and draw a straight linear line, ta-daa you are done.

Step-by-step explanation:

Use these equations.

Equation of a Hyperbola, centered at orgin

[tex] \frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]

where a is the major axis

B is the minor axis.

Since a and X are first, the x axis is the major.

This also means the x axis contains the vertices and foci as well.

The equation of vertices when x is major axis is

[tex](x ±a)[/tex]

Since the vertices are (±1,0), and the orgin is (0,0). The length of a is 1.

So a=1.

The equation of foci is

[tex](x±c)[/tex]

Where c is formed by

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

We know that c is 2 since the distance from the foci and center is 2. A is 1, so let find b.

[tex] {2}^{2} = {1}^{2} + {b}^{2} [/tex]

[tex]4 = 1 + {b}^{2} [/tex]

[tex]3 = {b}^{2} [/tex]

[tex] \sqrt{3} = {b}[/tex]

So our equation is

[tex] \frac{ {x}^{2} }{1 {}^{2} } - \frac{ {y}^{2} }{ (\sqrt{3}) {}^{2} } = 1[/tex]

[tex] \frac{ {x}^{2} }{1} - \frac{ {y}^{2} }{3} = 1[/tex]

Ratio remains same

[tex]\\ \rm{:}\dashrightarrow 1/2/6=9/2/x[/tex]

[tex]\\ \rm{:}\dashrightarrow x/2=27[/tex]

[tex]\\ \rm{:}\dashrightarrow x=54ft[/tex]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Here, [tex]\frac{3}{4}v[/tex] tells us that the vector [tex]v[/tex] is impacted by a scale factor of [tex]\frac{3}{4}[/tex], so we are doing scalar multiplication basically for both components of the vector. This only impacts the magnitude of the vector and not its direction. If we were to assume that [tex]v=\langle4,8\rangle[/tex], then [tex]\frac{3}{4}v=\langle\frac{3}{4}(4),\frac{3}{4}(8)\rangle=\langle3,6\rangle[/tex]. Therefore, this matches vector [tex]u[/tex], so D is the correct answer

Problem 2

Cannot be able to read as the text is too small

Problem 3

Cannot be able to read as the text is too small

Problem 4

[tex]-7u=\langle-7(8),-7(-4)\rangle=\langle-56,28\rangle=-56i+28j[/tex], so A is correct. Remember to use scalar multiplication for each component.

Problem 5

[tex]r-s=\langle5-9,11-(-8)\rangle=\langle-4,19\rangle[/tex], so B is correct. Remember to subtract the horizontal and vertical components seperately.

Answer:

36,000-28,500

=7,500 decrease per year

Answer:

x=-1

Step-by-step explanation:

2x-5=-5x+2

7x=-7

x=-1

Step-by-step explanation:

Amplitude is the distance between the center line of the function and the top or bottom of the function.

The amplitude is half the distance between the max and the min, so

Amplitude = 1/2(max - min)

Amplitude = 1/2(-2.2 -(-8.5))

So amplitude = 1/2(6.3)

= 3.15

The exchange rate that She will receive is an algebraic expression

The exchange rate that Salma will receive in dollars per euro is [tex]\frac{12x - 9}{4x -6}[/tex]

The amount of dollars with Salma is given as:

[tex]Dollar = \frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}[/tex]

The amount of Euro she can buy is:

[tex]Euro = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]

Let the exchange rate be r.

So, we have:

[tex]Dollar * \frac 1r = Euro[/tex]

The equation becomes

[tex]\frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}* \frac 1r = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]

Factorize the expressions

[tex]\frac{3(x + 2)(4x - 3)}{2(x + 5)(x +2)}* \frac 1r = \frac{(x +1)(2x -3)}{(x + 5)*x + 1)}[/tex]

Cancel out the common factors

[tex]\frac{3(4x - 3)}{2}* \frac 1r = \frac{(2x -3)}{1}[/tex]

Make r the subject

[tex]\frac 1r = \frac{2(2x -3)}{3(4x - 3)}[/tex]

Expand

[tex]\frac 1r = \frac{4x -6}{12x - 9}[/tex]

Make r the subject

[tex]r = \frac{12x - 9}{4x -6}[/tex]

Hence, the exchange rate is [tex]\frac{12x - 9}{4x -6}[/tex]

Read more about algebraic expressions at:

https://brainly.com/question/4344214

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The required additional information required to prove the Triangles congruent are :

[tex]\qquad \sf  \dashrightarrow \: 1. \: X V= FD[/tex]

The Triangles will be congruent by HL congruency.

[tex]\qquad \sf  \dashrightarrow \: 2. \: MH = MI[/tex]

The Triangles are congruent by LL congruency.

[tex]\qquad \sf  \dashrightarrow \: 3. \: \angle EDC = \angle VUC[/tex]

The Triangles are congruent by HA congruency.

[tex]\qquad \sf  \dashrightarrow \: 4. \: \angle J = \angle C[/tex]

The Triangles are congruent by LA congruency.

Answer:

Explanation:

To find odd numbers, we have to use n + n + 2

For example let the number be 1, the 1 + 2 = 3, 3 + 2 = 5.

Therefore, used: n + n + 2 expression and it should be equals or at least 76. so finally n + n + 2 ≥ 76  applies.

Answer:

[tex](x + 3)(x + 7) \\ (x)(x) + (x)(7) + (3)(x) + (3)(7) \\ = {x}^{2} + 7x + 3x + 21 \\ = {x}^{2} + 10x + 21[/tex]

Answer:

openup 1 em We want to find the points on the curve y=2x^3-3x^2-12x+20y where the tangent line is parallel to the xx-axis, which means that the slope=0