An experiment consists of tossing a coin and rolling a six-sided die simultaneously. Step 1 of 2: What is the probability of getting a head on the coin and the number 4 on the die? Round your answer to four decimal places, if necessary.

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

4/15

Step-by-step explanation:

Answer:

2/5 * 2/3= 4/15, cannot be simplified.

Step-by-step explanation:

Multiply the numerators, 2*2

Denominators 5*3

Answer:

12

Step-by-step explanation:

The square root of 144 is 12

The missing values for the inverse matrix A⁻¹ are:

The solution is:

In Mathematics and Geometry, a square matrix refers to a type of matrix that is composed of an equal number of both rows and columns. Generally speaking, m × m matrix is typically referred to as a square matrix of order m.

Next, we would convert the system of three linear equations in standard form to matrix form as follows;

\(\left[\begin{array}{ccc}1&1&1\\10&-20&98\\5&10&-10\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}200\\250\\500\end{array}\right]\)

By using technology, the solutions to this system of three linear equations include the following:

x = -9200

y = 7025

z = 2375.

By using technology, the inverse of this matrix is given by;

\(A^{-1}=\left[\begin{array}{ccc}-78&2&11.8\\59&-1.5&-8.8\\20&-0.5&-3\end{array}\right]\)

Therefore, the missing values are as shown in the inverse of this matrix A⁻¹ above.

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Answer:

what is your question

Step-by-step explanation: am not trying to steal ur points

Answer:

4,969.25

Step-by-step explanation:

$19877 ÷ 4

you van either divide this the long way or the short way either one will give you the same answer so just try it out and see

The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Answer:

a=3

Step-by-step explanation:

opening the bracket, we have

4x-2x-2a=8

2x-2a=8

x=7

2(7)-2a=8

14-2a=8

collect like terms

-2a=8-14

-2a=-6

divide both sides by -2

a=3

When the table shows the proof of the relationship between the slopes of two perpendicular lines, the missing statement in step 2 is AB/CE = ED/BC.

In this question you apply the side-Angle-side similarity property that makes the two right triangles similar.

In this property, the lengths of the corresponding legs of the two right triangles are proportional.

Therefore, Leg AB corresponds to leg CE

Leg ED corresponds to leg BC.

Therefore, it should be noted that AB/CE = ED/BC.

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The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

A. AB/BC = ED/CE

B. AB/CE = BE/ED

C. AB/BC = CE/ED

D. AB/CE = ED/BC

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Answer:

m= 4

b= -12

( 4, -12)

Step-by-step explanation:

m= y2- y1/ x2-x1

m= 12 - 4/ 4 - 2

m= 8/ 2

m= 4

y= 4x + b

(2,4)

4= 4(4) + b

4= 16 + b

-16+4= b

-12= b

b= -12

Answer:

\(\sf (x+9)^2+(y-5)^2=16\)

Step-by-step explanation:

Standard equation of a circle:  \(\sf (x-h)^2+(y-k)^2=r^2\)

(where (h, k) is the center of the circle and r is the radius)

Given:

Substituting given values into the equation:

\(\sf \implies (x-(-9))^2+(y-5)^2=4^2\)

\(\sf \implies (x+9)^2+(y-5)^2=16\)

Equation:-

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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The distance between the persons is minimal at t = 1 hour and 6 minutes after 3:00 PM, i.e. at 4:06 PM is  √41t² - 90t + 81 .

Set point A as the coordinate system's origin.

Based on the context, point B has coordinates of (9, 0).

Andy's location is the point (0,-4t) at time "t" hours after 3:00 PM, while Bill's location is the point (9-5t,0).

In terms of time, the square of the separation between Andy and Bill is

d²(t)

= (9 - 5t)²+ (-4t) ²

= 81 + 90t + 25 t² + 16t²

= 41t² - 90t + 81

When the square of the distance is minimal, the distance between the people is also minimal.

Therefore, it is sufficient to differentiate the function d2(t) over t and equate it to zero in order to get the time of the minimum distance between the individuals. The equation is provided.

2*41*t - 90 = 0, or 82t = 90, t = 90/83 hours  =  1 hour and 6 minutes is equal to hours.

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The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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Answer:

112 ft

Step-by-step explanation:

AL = (a+b+c)h

= (6+12+10) x 4

= 112 ft

Answer:

$27.69

Step-by-step explanation:

$22.50

+

$05.19=

$27.69

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Answer:

P(5,6) = 63

Step-by-step explanation:

Test each point to see which ordered pair maximizes the objective function:

(0,0): p = 3(0) + 8(0) = 0

(2,7): p = 3(2) + 8(7) = 6 + 56 = 62

(5,6): p = 3(5) + 8(6) = 15 + 48 = 63

(8,1): p = 3(8) + 8(1) = 24 + 8 = 32

Hence, (5,6) is the ordered pair that maximizes the objective function.

Answer:

20L + 45 = 225

Step-by-step explanation:

20 is the slope making it constant

45 is a one time fee making it a y intercept

equaling 225

Answer:

20L+45=225

Step-by-step explanation:

20 represents how much she paid for each lesson, we don't know how many lessons she paid for so we use the variable L and multiply it by 20. She only had to pay the registration fee once so 45.  Unknown lessons taken by  20 + the one-time fee of 45 equals 225

Hope this helps!    

I redrew the triangle (just turned it around it make it easier to understand).

Answer:

The answer is 1/8

Step-by-step explanation:

7/8 - 3/4 = 0.125

0.125 converted to a fraction is 1/8

Check the picture below.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}\)

The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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