The probability that Ashley drives faster than the speed limit (event A) is 0.34, and the probability that he gets a speeding ticket (event B) is 0.22. The probability that he drives faster than the speed limit, given that he has gotten a speeding ticket, is 1. Are events A and B dependent or independent? A. dependent B. independent C. insufficient data D. depends on the other events in the sample space

2. 135 grams is your answer

The mass of the baseball is 146 grams.

Mass refers to the weight of an object. It is measured in grams (g) and kilograms (kg).

According to question we have a spherical ball of radius 1.47 inches and density of ball is 11g/cubic inch.

We know that density  = mass/volume                   ...............(i)

Volume of sphere is given by

Volume = 4π(radius)³/3

volume = 4π(1.47)³/3

volume = 13.3057 inches³ By (i)

  mass = density x volume

  mass = 11 x 13.3057mass

            = 146.36g

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Sorry, I didn't fully understand your initial question. I'll answer it now.

A quick and easy equation you can always use is y = -x + 2

Put one point on (0, 2) and put another point on (2, 0) (since a slope of 2/2 would cancel out) Then connect the points, and you're done.

Y=-x+2 is an equation that you can use

X=11 because 90-43+5x-8 so 5•11=55-8 =47 90-43=47

Complementary means the angles together would equal 90°. Supplementary means the angles would equal 180°.

Using Complementary angles:

5x-8+43=90 Combine -8 and 43 = 35

5x+35=90

-35 -35

5x=55

Divide each side by five

x=11

Answer:

D, (-6,-2)

Step-by-step explanation:

the first quadrant of a coordinate plane has the x coordinate being a negative number, and the y coordinate being a positive number

the second quadrant of a coordinate plane has the x and y coordinates being a positive number

the third quadrant of a coordinate plane has the x and y coordinates being a negative number

the fourth quadrant of a coordinate plane has the x coordinate being a positive number, and the y coordinate being a negative number

i have attached a graph showing the quadrants for a visual point of view

The coordinate pair that identifies a point in the third quadrant of the coordinate plane, where both x and y coordinates are negative, is (-6,-2)

The question is asking about identifying which pair of coordinates falls into the third quadrant of the coordinate plane in mathematics. The third quadrant in a coordinate plane is the bottom-left quadrant, where both the x and y coordinates are negative.

Looking at the options: A) (0,6), B) (-6,2), C) (2,-6), and D) (-6,-2); we can clearly see that option D) (-6,-2) is the point in the third quadrant, as both coordinates are negative. The pair (-6,-2) meets this description, with -6 on the x-axis and -2 on the y-axis. So, the correct answer is option D).

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Answer:

The slope is 0. However, it is a horizontal line where x=-6.

Step-by-step explanation:

Use the equation m= y2-y1/x2-x1 to get 12--8/-6--6. Two negatives means a positive, so you get 20/0. This means there is no slope, because you cannot divide by 0. However, you notice that both x-values are -6, so you can safely assume that there is a horizontal line where x=-6.

The slope is undefined and the line is vertical and parallel to the y-axis.

Given points (-6, -8) and (-6, 12)

First, the slope of line is

Slope= (change in y/ change in x

         = (12 - (-8)) / (-6 - (-6))

         = (12 +8) / (-6 +6)

         = 20 /0

         = ∞

Since we have a division by zero in the denominator, the slope is undefined.

This indicates that the line is vertical and parallel to the y-axis.

Thus, the slope is undefined.

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The equivalent equation of the provided equation y = a(x - h)² + k will be given as y = ax² + ah² + 2ahx + k.

The equivalent is the equations that are in different forms but are equal to the same value.

The equation of the parabola is given below.

y = a(x - h)² + k

Then open the bracket, we have

y = a(x² + h² - 2xh) + k

y = ax² + ah² + 2ahx + k

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The correct answer is option D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

Let's analyze each option:
A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex].

   Rearrange equation: [tex]x+h = \pm\sqrt{\frac{y-k}{a} }[/tex].

   Here we can see a term of x+h, but this is not correct as the formula has (x-h). Hence this option is incorrect.

B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]

   Rearrange equation: [tex](\frac{y-k}{a})^2 = x-h[/tex]

we can see that degree of y term is 2 and that of x term is 1 which not correct as in the formula x has degree =2 and y has degree. = 1.

C. [tex]k = y+(x-h)^2[/tex]

   This is incorrect as the equation doesn't include 'a' whereas the formula includes 'a'.

D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

    Cross multiplying: [tex]y- k = a(x-h)^2[/tex]

    Rearrange: [tex]y = a(x-h)^2+k[/tex]

   This equation is equivalent to the formula.

The complete question is:
Which equation is equivalent to the formula below?

[tex]y = a(x - h)^2 + k[/tex]

A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex]

B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]

C. [tex]k = y+(x-h)^2[/tex]

D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

Answer:

[tex]f(x) = 6x -12[/tex]

Step-by-step explanation:

We must write the function of the line in the form [tex]f (x) = mx + b[/tex]

First calculate the slope m

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

[tex]y_2 = 18\\y_1 =6\\x_2=5\\x_1=3[/tex]

[tex]m= \frac{18-6}{5-3} = 6[/tex]

Then

[tex]f(x) = 6x +b[/tex]

To have b replaced a point in the function

[tex]f(3)=6 = 6(3) +b\\\\6-18= b\\\\b=-12[/tex]

Finally the function is

[tex]f(x) = 6x -12[/tex]

ANSWER

[tex]f(x) = 6x - 12[/tex]

EXPLANATION

The given line passes through the points (3, 6) and (5, 18).

The slope of this line given by:

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

We plug in the points to get,

[tex]m = \frac{18 - 6}{5 - 3} = \frac{12}{2} = 6[/tex]

The equation is given by

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the point and the slope to get,

[tex]y - 6 = 6(x - 3)[/tex]

[tex]y - 6 = 6x - 18[/tex]

[tex] y = 6x - 18 + 6[/tex]

[tex]y = 6x - 12[/tex]

Using function notation, we have

[tex]f(x) = 6x - 12[/tex]

Answer:

The dirt is [tex]\frac{2}{3}ft[/tex] deep

Step-by-step explanation:

The raised garden bed has width, w=6ft.

The length of the garden bed is;

l=8ft

The height, h is how deep, the dirt is.

The volume of dirt the garden bed contains is 32 cubic feet.

The volume is given by the formula;

[tex]Volume=l\times w\times h[/tex]

We substitute the given values and solve for x.

[tex]32=8\times 6\times h[/tex]

[tex]32=48h[/tex]

[tex]h=\frac{32}{48}[/tex]

[tex]h=\frac{2}{3}ft[/tex]

The dirt is [tex]\frac{2}{3}ft[/tex] deep

Answer:

0.66

Step-by-step explanation:

The answer to your question is this:

[tex]y + 5\leq 28\\y\leq 23[/tex]

Answer:

The answer is 7/8 chance.

Step-by-step explanation:

To find this answer, you have to divide the blue marbles by red marbles. Then, you will get 28/32.

You can simplify it, so simplify it to the smallest possible number, therefore getting 7/8.

Answer:

  Square

Step-by-step explanation:

The length of AB is (a+b)-a = b. The length of BC is b-0 = b. So, adjacent sides are the same length. AB has a constant y-value, so is horizontal. BC has a constant x-value, so is vertical.

A figure with horizontal and vertical sides of the same length is a square.

14 servings. 67 divided by 3 is around 22. 3 divided by 2 is 1.5. 22 divided by 1.5 is decimals over 14.

Answer:

You can have two answers, but the most likely is 15, if the answer can be 14 but if the question says that round the nearest number is 15

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = [tex]\frac{speed}{radius}[/tex]

10π = [tex]\frac{speed}{8}[/tex]

Speed = 80π feet/ second.

Option C is the answer.

Answer: [tex]80\pi\text{ ft/sec}[/tex]

Step-by-step explanation:

Formula : [tex]\text{Speed= Angular velocity x Radius}[/tex]   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = [tex]10\pi[/tex] radians per second.

Then, the speed of the point will be :-

[tex]\text{Speed= }10\pi \times 8[/tex]   [using (1)]

[tex]=80\pi\text{ ft/sec}[/tex]

Hence, the speed of the point [tex]=80\pi\text{ ft/sec}[/tex]

Answer:

x = 12

Step-by-step explanation:

Given

4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side

4x - 20 = 2x + 4 ( subtract 2x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer:

5/8

Step-by-step explanation:

The sectors are labeled 1,2,3,4,5,6,7,8

Numbers less than 4: 1,2,3

Multiples of 4: 4,8

We are looking for 1,2,3,4,8  = 5 choices

P (1,2,3,4,8) = Number of choices/ total

                  = 5/8

The missing length of the missing side is x+1.

To find the perimeter of this object, we need to know hat perimeter truly means.

Perimeter-The sum of all the sides.

The sides from the trapezoid are 3x+1, x , and x.

We combine like terms, so 3x + x + x = 5x

1 is the only number.

We are left off with 5x+1. Our objective is to get 6x+2.

How do we get there? We add 1x or x (1x and x) are the same thing, and we add one.

5x+1 + 1x + 1 = 6x+2;

Therefore the renaming length of the missing side is 1x+1.

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Answer:

x + 1

Step-by-step explanation:

Is that a lone x on the left hand side? I will assume so.

Let y be the value of the side marked with a ?.

x + 3x + 1 + x + y = 6x + 2     collect the like terms on the left.

5x + 1 + y= 6x + 2                  Subtract 1 from both sides.

5x + 1-1 +y = 6x + 2-1             Combine

5x + y = 6x + 1                        Subtract 5x from both sides.

5x-5x + y = 6x -5x +1             Combine

y =x + 1

The missing side is x +1

Answer:

Step-by-step explanation:

[tex]h(x)=-0.5(x^2-4x-21)\\\\\text{The zeros for}\ h(x)=0:\\\\-0.5(x^2-4x-21)=0\qquad\text{divide both sides by}\ -0.5\\\\x^2-4x-21=0\\\\x^2+3x-7x-21=0\\\\x(x+3)-7(x+3)=0\\\\(x+3)(x-7)=0\iff x+3=0\ \vee\ x-7=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3<0\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7[/tex]

Answer:

A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. We're going to explain this by using an example. We can substitute y in the second equation with the first equation since y = y.

Hope This Helps!   Have A Nice Day!!

Answer:

yes

Step-by-step explanation:

Answer

0

drmallery

   Ace

   710 answers

   106.6K people helped

Answer:

X=1, y=3

Step-by-step explanation:

X + y = 4

y=3x

x+ 3x=4 substitute y value of second equation (3x) in y value of 1st equation

4x=4 solve for x

x=1

solve for y by putting x value (4) in either equation:

x+y=4

1+y=4

y=3

check answers using both equations:

x+y=4

1+3=4

4=4

or

y=3x

3=3(1)

3=3

Answer:

x=61

Step-by-step explanation:

X=61

Because (52+67)-180=61

7 is bases number two , I'm not sure it sounds like similar makes more sense , but not sure for 2

8 times 2/3 is 16/3, which when simplified is 5 1/3

To evaluate 8(2/3), you need to multiply 8 by 2/3. The value of 8(2/3) is 16/3.

To evaluate 8(2/3), you need to multiply 8 by 2/3. To do this, you can simplify 2/3 by dividing both the numerator and denominator by their greatest common factor, which is 1.

This simplifies 2/3 to 2/3. Then, multiply 8 by 2/3 to get the final answer.

Therefore, the value of 8(2/3) is 16/3.

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Answer:

The answer would be m= -9

Step-by-step explanation:

6(9-m)

You will multiply the 6 with the 9 and -m inside of the parenthesis

54-6m

Divide by -6 on both sides and you will get m= -9

I hope this helps you with this question and have a nice weekend

The equivalent expression to 6(9 - m) is 54 - 6m, determined by applying the distributive property of multiplication over addition and subtraction.

The expression given is 6(9 - m). To identify an expression equal to this, we should look for expressions that maintain the same relationship between the numbers and the variable m. When we distribute the 6 across the parentheses, we multiply 6 by 9, and 6 by -m, resulting in 54 - 6m.

Distributing a number across a subtraction in a parenthesis follows the distributive property of multiplication over addition and subtraction, which allows us to multiply each term inside the parentheses by the number outside.

Answer:

The relative complement or set difference of sets A and B, denoted A – B, is the set of all elements in A that are not in B. ... Then the set difference of A and B would be the $407 remaining in the checking account. Example: Let A = {a, b, c, d} and B = {b, d, e}. Then A – B = {a, c} and B – A = {e}.

Step-by-step explanation:

Well, I hope this helps!

The algebraic representation of the expression The difference between a and b is 6 is a - b = 6

From the question, we have the following parameters that can be used in our computation:

The difference between a and b is 6

By definiton:

difference means subtraction/minus

Using the above as a guide, we have the following:

a - b = 6

When solved, we have

a - b = 6

Hence, the algebraic representation of the expressionis a - b = 6

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Question

Translate the sentence into an equation.

The difference between a and b is 6

Answer: Second Option

20%

Step-by-step explanation:

We have 5 red marbles, 8 blue marbles and 12 green marbles in a bag.

In total there are 5 + 8 + 12 = 25 marbles

This means that the experiment "get a marble out of the bag" has 25 possibilities.

Then, the chances of getting a red marble are 5, because there are 5 red marbles.

Finally the probability of drawing a red marble is:

[tex]P_{red} = \frac{5}{25}\\\\P_{red} = \frac{1}{5}\\\\P_{red} = 0.20[/tex]

[tex]P_{red} =20\%[/tex]

Human:

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ 20%

I WOULD APPRECIATE BRAINLIEST!

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For this case we have that by definition, the volume of a regular prism is given by:

V = B * h

Where:

B: It is the area of the base

h: It is the height of the prism

We have to:

[tex]B = 2 * 2 = 4 \ cm ^ 2\\h = 1 \frac {2} {3} = \frac {3 * 1 + 2} {3} = \frac {5} {3}[/tex]

Thus, the volume will be:

[tex]V = 4 * \frac {5} {3}\\V = \frac {20} {3} \ cm ^ 3[/tex]

ANswer:

[tex]V = \frac {20} {3} \ cm ^ 3[/tex]

Answer:

The answer is b and c

hope this helps!

Step-by-step explanation:

Answer : 28 units

the shorter side lengths both equal 5 units so that would be 5+5=10

the longer side lengths both equal 9 units so that would be 9+9=18

18+10=28 units

Answer:

The correct answer would be 28 units.

Step-by-step explanation:

the length of the recktangle is 9. There are two sided with 9 so you would add 9+9. The height of the rectangle is 5 and there are two heights. You add 5+5 then you add 18 witch is the sum of 9+9 and you get 28.

I hope this helps.

Have a good day

<3 C.J

Answer:

a.0

Step-by-step explanation:

The exponential function levels at 0

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Answer:

The dimensions of the porch are [tex]25\ ft[/tex]  by [tex]20\ ft[/tex]

Step-by-step explanation:

we know that

The area of the porch is equal to the length multiplied by the width

[tex]A=(2x+3)(x+9)[/tex]

[tex]A=500\ ft^{2}[/tex]

so

[tex]500=(2x+3)(x+9)[/tex]

Solve for x

[tex]500=2x^{2} +18x+3x+27\\ \\2x^{2} +21x-473=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=11\ ft[/tex]

see the attached figure

The dimensions are

[tex](2x+3)=2(11)+3=25\ ft[/tex]

[tex](x+9)=11+9=20\ ft[/tex]

Answer:

Square root of 16 = 4

Square of 16 = 256

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-3x²y² × y⁴x³

When multiplying, add the exponents:

-3x⁽²⁺³⁾y⁽²⁺⁴⁾

-3x⁵y⁶

Answer is A.

Answer:

Step-by-step explanation:

[tex]-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=(-3)(x^{2+3})(y^{2+4})\\\\=-3x^5y^6[/tex]