Write an equation to represent each statement
I
1. The product of 3 and a number increased by six is 24.1

Out of the following, the statement Excel can add only linear trendlines to data in a scatter chart is  true  regarding   trendlines in scatter chart in excel.This means that the trendline in Excel will be a straight line that will best fit the data points in the scatter chart.

It will not be able to fit any other type of trendline, such as a polynomial or exponential trendline. Additionally, Excel cannot output the R Square value for a trendline in Excel for scatter charts of 3 or more variables. This is because the R Square value is a statistical measure that can only be calculated for linear regression models.

Finally, for simple linear regression models, the trendline in Excel will give the same equation as the data analysis toolpak regression tool. This means that the equation of the trendline in Excel will be the same as the equation of the regression line calculated by the data analysis.

To know more about  excel refer to the  link  brainly.com/question/3441128

#SPJ4

The three-inch cube would be worth \(9\text{ lb}\times $20/\text{lb} = $180$.\)

Since the cube is made of silver, we know that the ratio of volume to weight is constant, meaning that the density of silver is the same throughout the cube. Therefore, if a two-inch cube of silver weighs 3 pounds, then its volume is \($(2\text{ in})^3=8\text{ in}^3$\) and its density is \(3\text{ lb}/8\text{ in}^3 = 0.375\text{ lb/in}^3$.\)

Now let's consider a three-inch cube. Its volume is \($(3\text{ in})^3=27\text{ in}^3$\), which is 3 times the volume of the two-inch cube. Since the density is the same, the weight of the three-inch cube will be 3 times the weight of the two-inch cube, or \(3\times 3\text{ lb}=9\text{ lb}$.\)

To find the value of the three-inch cube, we need to know the price of silver per pound. Let's assume it's \($$20$\) per pound (this is just an example). Then the three-inch cube would be worth \(9\text{ lb}\times $20/\text{lb} = $180$.\)

In general, the value of the three-inch cube would be proportional to the weight and the price of silver per pound.

Learn more about proportional

https://brainly.com/question/30675490

#SPJ4

Answer:

If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.

But if you multiply or divide both sides of an inequality by a negative number, the inequality is no longer true.

Step-by-step explanation:

Answer:

The multiplication property of inequality states that if one side of the inequality is multiplied or divided by a positive number, we can multiply and divide the other side of the inequality by the same number without changing or disturbing the direction sign of the inequality.

Step-by-step explanation:

Answer: b. 6

Step-by-step explanation:

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

  b = (p -2a)/2

Step-by-step explanation:

You want b the subject of the relation p=2a+2b.

Solve this the way you would solve any 2-step linear equation.

  p = 2a +2b . . . . . . given

  p -2a = 2b . . . . . . . subtract the term not containing b

  (p -2a)/2 = b . . . . . . divide by the coefficient of the variable

Your formula is ...

  b = (p -2a)/2

or

  b = (p/2) -a

Answer: x = 24

Step-by-step explanation:

Answer: x= 24

Step-by-step explanation:

so first you have to find the common dominator which would be 8 then you would have to combine fractions with the common dominator then you need to multiply all the numbers  

Arthur gets paid 11.5 per hour if Arthur gets paid 74.75 for working 6.5 hours.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Arthur gets paid 74.75 for working 6.5 hours.

The amount earned by Arthur = 74.75

A number of hours = 6.5 hours

The earning per hour = 74.75/6.5 per hour

The earning per hour = 11.5 per hour

Thus, Arthur gets paid 11.5 per hour if Arthur gets paid 74.75 for working 6.5 hours.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

For considering the vector field f(x,y,z)= (3y,3x,4z). The f become a gradient vector field f= ∇V by determining the function V which satisfies V(0,0,0)=0, V(x,y,z) = 3xy + 4z².

We have, a vector field, f(x,y,z) =(3y,3x,4z). We have for f is a gradient vector field, that is F = ∇V, by determining the function V which satisfies condition V(0,0,0)=0, that is we have to determine value of function V (x,y,z). Since, F = ∇V

=> \(3y\hat i + 3x \hat j + 4z \hat k = \frac{dV}{dx}\hat i + \frac{dV}{dy}\hat j + \frac{dV}{dz}\hat k \\ \)

Comparing the elements in both sides,

\(\frac{dV}{dx} = 3y\)

\(\frac{dV}{dy} = 3x\)

\( \frac{dV}{dz} = 4z \)

Now, integrating the above differential equations of determining the \(V(x,y,z) = \int3y dx = 3xy + g(y,z) \\ \)

differentiating with respect to y

\(\frac{dV}{dy} = 3x + g_{y} ( y,z) \)

but from using above equation, g_{y} ( y,z) \) = 0

=> g(y,z) = h(z) ( integrating)

V( x,y,z) = 3xy + h( z)

differentiating with respect to z

\(\frac{dV}{dz} = h'(z)\)

but dV/dz = 4z , so h'(z) = 4z

=> h(z) = 2z²

Hence, the required function is V( x,y,z) = 3xy + 2z².

For more information about gradient, visit :

https://brainly.com/question/30218442

#SPJ4

The amount theo had left in the account is £32.

We are given that;

Amount= £350

Rate= 2%

Time= 6months

Now,

Plugging these values into the formula, we get:

I = 350 x 0.02 x 6 I = 42

This means that Theo earned £42 in interest after 6 months. Adding this to the principal amount, we get the total amount in the account:

350 + 42 = 392

To find how much money Theo had left after buying the bike, we need to subtract the cost of the bike from the total amount in the account:

392 - 360 = 32

Therefore, by interest the answer will be £32.

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ1

The value of x in the expression is bx-y/a

The expression is

Y= x(a+b)

remove the bracket

Y= ax + bx

ax= bx-y

divide both sides by the coefficient of x which is a

ax/a= bx-y/a

x= bx-y/a

Read more on expression here

https://brainly.com/question/196834

# SPJ1

The given function is C(x) = 936 + 80x + 0.12x^2, where x represents the number of mountain bikes produced daily. The average cost function is also given by C(x).
To make the mountain bike as affordable as possible, the company should target a production level of 333.33 mountain bikes daily, where the average cost function is at its minimum. Rounded to 2 decimal places, the answer is

c = 333.33.

First, let's correct the given cost function: C(x) = 936x + 80x^2 + 0.12x^3. Now, we'll use the terms "function," "average," and "increases."

To find the average cost function, we need to divide the total cost function, C(x), by the number of mountain bikes produced daily, x. Let A(x) represent the average cost function:

A(x) = C(x) / x

Now, let's substitute C(x) into this equation:

A(x) = (936x + 80x^2 + 0.12x^3) / x

Simplify by canceling out an x term:

A(x) = 936 + 80x + 0.12x^2

To find the production level c where the average cost function decreases and then increases, we need to find the minimum point on the A(x) curve. To do this, we'll differentiate A(x) with respect to x to obtain the first derivative:

A'(x) = 80 + 0.24x

Now, set the first derivative equal to zero and solve for x:

80 + 0.24x = 0

0.24x = -80

x = c = -80 / 0.24

Round to 2 decimal places:

c ≈ 333.33

So, to make the mountain bike as affordable as possible, the company should target a production level of approximately 333.33 mountain bikes daily.

Learn more about Function:

brainly.com/question/12431044

#SPJ11

Answer:

(-18,5)

Step-by-step explanation:

The total cost of the meal is 66.045

Given,

The cost of the meal = 64.75

The discount given on that day = 15%

The tip given by Zurn family = 20%

We have to find the total cost of the meal.

First we have to find the total cost including tip before discount is added.

That is,

120% of 64.75

= 64.75 × 120/100

= 6.475 × 12

= 77.7

Here, the total cost including tips before discount is 77.7

Now, we have to deduct the discount.

100 - 15 = 85

That is,

85% of 77.7 will be the total cost of the meal

= 77.7 × 85/100

= 6604.5 / 100

= 66.045

Therefore, the total cost of the meal is 66.045

Learn more about total cost here:

https://brainly.com/question/21408332

#SPJ1

Answer:

\(2x^2-2x+9\)

Step-by-step explanation:

\(5x^2-7x+9-3x^2+5x\\=5x^2-3x^2-7x+5x+9\\= 2x^2-2x+9\)

Answer:

2.05m

Step-by-step explanation:

Answer:

x is 0.

9(0) - 7 = -7

Step-by-step explanation:

Answer: X=0

Step-by-step explanation:

Data: 9x-7=7

Step one, Add 7 to both sides

9x-7+7=-7+7=9x=0

The reason you do this is that your trying to isolate x so by adding 7, you get rid of the -7 right by 9x and since what you do to one side you do to the other, you add 7 to the other -7 as well to get 0

Step two, Divide by 9 on both sides

9x/9=0/9=x=0

The reason for this is that your trying to isolate x and by dividing by 9, you take out the 9 next to the x. However what you do to one side you have to do to the other so you divide 0 by 9 as well

Answer: X=0

I hope this helps!

Answer:

number of half gallons of ice cream the store bought=90 half gallons

Step-by-step explanation:

given data

bought ice cream = $2.30 per half gallon

one freezer malfunctioned and ruined  = 14 half gallons

ice cream is sold = $4.00 per half gallon

profit = $97.00

solution

we know here profit is express as

Profit = Money earned - Money spent       ...................1

and we consider here total number of gallons bought  = x

so Money earned =  $4(x-14)

Money spent   = $2.30(x)

so put here value and we get

$97 = $4(x-14) - $2.30(x)  

solve it we get

x = 90

so number of half gallons of ice cream the store bought=90 half gallons

Answer:

A) first quadrant

hope it helps.

Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars

Answer:

x = 7

y = 2

Step-by-step explanation:

In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y

x + 3y = 13 ........ Equation 1

x - y = 5...........Equation 2

From Equation 2,

x = 5 + y

Substitute 5 + y for x in Equation 1

x + 3y = 13 ........ Equation 1

5 + y + 3y = 13

5 + 4y = 13

4y = 13 - 5

4y = 8

y = 8/4

y = 2

Since y = 2, substitute , 2 for y in Equation 2

x - y = 5...........Equation 2

x - 2 = 5

x = 5 + 2

x = 7

Therefore, x = 7 and y = 2

Answer:

volume of sphere =4/3πr^3=4/3*22/7*6*6*6=905.14m^3

Answer:

5. 50

6. 139

Step-by-step explanation:

5. HGL = KLJ

6. 180 - (48 + 91) =  41, 180 - 41 = 139

Answer:

x =4

Step-by-step explanation:

3x - 2 = 10

Add 2 to each side

3x -2 + 2 = 10+2

3x =12

Divide by 3

3x/3 =12/3

x =4

Answer:

x=4

Step-by-step explanation:

1) First, add 2 to both sides of the equation. This will give you 3x=12.

2) Divide by the 3 on both sides leaving you x=4.

Hope this helps!

Answer:

none of the

Step-by-step explanation: none of them

Answer:

yes

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

point E

Step-by-step explanation:

the probability is made of the desired outcome divided by the total outcome.

desired = wins = 8

total = wins and losses = 15

8/15 is the probability (approx. 53%)

hope it helps :)

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

To know more about Statistics, Visit

brainly.com/question/15525560

#SPJ11