A. Using the given variables, translate the following to mathematical
expressions.
1. the sum of n and 8
2. M reduced by x
3. 12 subtracted from z
4. cincreased by d
5. 20 more than twice f
6. the square of the sum of x and y
7. twice the product of m and n
8. six less than twice b
9. the sum of the squares of u and v
10.the product of x and y divided by 2​

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

Learn more about the investments here:

https://brainly.com/question/17619802

#SPJ1

Answer:

D. Find the x- and y-intercepts and then graph

Step-by-step explanation:

Given:

Amount made per hour = $10.53

Number of days = 7 days

Let's find the amount he made per week if he works 7 hours each day.

To find the amount he made per week, apply the formula:

Total = Amount made per hour * Number of hours he works per day * Number of days he works a week.

Thus, we have:

Therefore, the amount of money Malcolm makes per week is $515.97

•

• ANSWER:

C. $515.97

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

Learn more on equations :https://brainly.com/question/2972832

#SPJ1

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

(First answer option)

Step-by-step explanation:

General form of an exponential function

\(y=ab^x+c\)

where:

Given exponential function:

\(y=4(10)^x-3\)

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

\(f(x)=b^x\)

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

https://brainly.com/question/27466089

https://brainly.com/question/27955470

Answer:

The third angle is 55 degrees.

Step-by-step explanation:

1) The three angles of a triangle always add up to 180 degrees. So, add together 34 + 101 = 135.

3) Then, subtract 180 - 135 = 55 degrees, and this is the missing angle!

I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

Hi, I think it's 55 degrees.

Step-by-step explanation:

If you add 34 and 101, then subtract 180 from that, it's 55.

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

If R(x, y) is a point that needs to be rotated about the origin, then coordinates of this point after the 90° rotation will be R'= (y, -x)

When rotated through 90° about the origin in the clockwise direction, the new position of point P (2, 3) will become P' (3, -2)  

So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.

Thus, if R(x, y) is a point, then the coordinates of this point after the 90° rotation will be R'= (y, -x).

Learn more about rotation in anticlockwise on https://brainly.com/question/19669892

#SPJ1

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

The expected value is the sum of the product of the probabilities of each outcome and the outcomes

The expected payoff

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

djjdjdjdjdjdjdjdjdidi

$28.62 not including tax.

Answer:

(5x-3) (x-2)

Step-by-step explanation:

5x^2-7x-6. [5×6]

5x^2-10x+3x-6

5x(x-2)+3(x-2)

(5x+3) (x-2)

The cost of a t-shirt is $25, the cap costs $20 and the stuffed animal costs $15

Let t-shirts be represented by x, the cap is represented by y and stuffed animals are represented by z

Items purchased by family:

4 t-shirts + 1 cap + 1 stuffed animal

The total cost of the items was = $135

Equation: 4x+y+z=135--------(1)

Items purchased by couple 1:

2 t-shirts + 1 cap + 3 stuffed animals

The total cost of the items was = $115

Equation: 2x+y+3z=115------(2)

Items purchased by couple 2:

2 t-shirts + 1 cap + 1 stuffed animals = $85

Equation: 2x+y+z=85------(3)

Subtracting equation (3) from (2) we get:

2z = 30

z = 15

Substituting the value of z=15 in equations (1) and (3) we get the following equations:

4x+y+15=135

4x+y=120------(4)

And, 2x+y+15=85

2x+y=70-------(5)

Multiplying equation (5) with 2 and subtracting equation (4) we get:

4x+2y=140

4x+y=120

y = 20

So, x = 25

Learn more about linear equations:

https://brainly.com/question/13738061

#SPJ1

The value of k that makes the statement true is k = 4.

Value is relative worth,merit of importance of something.if can refer to an intangible concept such as a person principal of a tangible object such as a rare coin.value vary widely across cultures, society and individual and can even vary within the same individual over time.

To show this, we can expand both sides of the equation and compare the terms. The left side of the equation becomes:

x⁴y⁸ + 7x³y¹²

The right side of the equation becomes:

2x⁴y⁸ + 7x³y¹²

Since both sides of the equation are identical, we can conclude that the value of k that makes the statement true is k = 4.

To know more about value click-
https://brainly.com/question/843074
#SPJ1

the total cost of leather purchased to make the football is $30.79.

The volume of a football can be calculated using the formula for the volume of a sphere:

V = (4/3)πr³

Where r is the radius

Given that the diameter of the football is 14 cm and  the radius is half of the diameter, so radius is 7 cm.

So, the volume of the football is:

V = (4/3)π(7 cm)³

= 1437.33 cm³

Now, we know that 3% of the leather is wasted,

so the amount of leather to make the football is:

(100% - 3%) = 97% of the total leather purchased.

Therefore, the amount of leather used to make the football is:

0.97 × 1437.33 cm³ = 1394.19 cm³

To find the total cost of the leather purchased, we need to know the cost of leather per square centimeter. Let's assume that the cost of leather including labor is $0.05 per square centimeter.

The surface area of a sphere can be calculated using the formula:

A = 4πr²

So, the surface area of the football is:

A = 4π(7 cm)²

= 615.75 cm²

the total cost of the leather:

Cost of leather = Cost per square centimeter × Surface area of the football

= $0.05/cm² × 615.75 cm²

= $30.79

know more about sphere visit

https://brainly.com/question/11374994

#SPJ1

There was 1 7/8 gallons of gas remaining at the end of the trip.

Answer:

12 girls

Step-by-step explanation:

boys   girls

     2:3

8 ÷ 2 = 4

4 × 3 = 12

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

Step-by-step explanation:

A)

(22+12)/2 = [17]                 (12+17)/2 = [14.5]                 (17+14.5)/2 = [15.75]

B)

(10.5*2) - 5 = [16] ......... NOT 13

1. The  Complete Sequence is 2, 22, 12, 17, 14.5, 15.75.

2. The second term is 16.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Given:

1. 2  22  12   _  _  _

So, the rule is ( sum of consecutive terms) /2

Then, the fourth term is

= (22+12)/2

= 17

and, fifth term is

=(12+17)/2

= 14.5

and, sixth term is

= (17+14.5)/2

= 15.75

So, the Complete Sequence is 2, 22, 12, 17, 14.5, 15.75

2. First term =5 and 3rd term = 10.5

Again, third term = ( 5 + x ) /2

21 = 5 + x

x = 16

Learn more about Sequence here:

https://brainly.com/question/21961097

#SPJ2

The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

For similar question on polynomial.

https://brainly.com/question/2833285  

#SPJ11

1598 cm square is the area of the container.

According to the statement

we have given that the container is rectangular prism

And Length of rectangular prism is 34cm

Width of rectangular prism is 17 cm

Height of rectangular prism is 20 cm

we use the below written formula to find the surface area

Surface area formula A=(wl+hl+hw)

To find the surface area of the container.

Substitute the values of Length, width and height in the formula then

A=(wl+hl+hw)

A=((17)(34)+(20)(34)+(20)(17))

After solving the values

A=(578+680+340)

A= 1598

So, 1598 cm square is the area of the container.

Learn more about AREA here https://brainly.com/question/6613758

#SPJ1

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

To know more rational functions refer to the  link  https://brainly.com/question/27914791?referrer=searchResults.

#SPJ4

Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

Answer:

Step-by-step explanation:

There are 20 sixths in 5/12

The least number of plates and cups she can buy is 24. She will buy 3 packs of plates and 2 packs of cup

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, ria is buying plates and cubs for a party. she wants the same numbers of each. Plates are sold in packs of 8. cups are sold in packs of 12.

Plates = 8 per pack

Cups = 12 per pack

the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

Therefore, The least number of plates and cups she can buy is 24. She will buy 3 packs of plates and 2 packs of cup

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1