2. Ms. Graham buys 8 feet of copper wire for a science experiment. Each experiment requires
foot of copper wire. How many experiments can Ms. Graham conduct?

Answer:

Equation:

50t + 100 = P

Table:

T             P

0          100

1           150

2           200

3           250

4            300

Step-by-step explanation:

$100 - starting value because it is the initial studio use fee

50t - since 50 dollars is the hourly fee, you have to multiply it by t (time)

The correct vocabulary for the definition is Commutative.

Commutative property states that the result remains the same even if the order of the numbers are changed during operation.

For multiplication,

[tex]a*b=b*a[/tex]

Thus, the correct vocabulary for the definition is Commutative.

To learn more about commutative property refer here

https://brainly.com/question/778086

#SPJ9

A equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x

We know that the formula for the slope-point form of equation of line:

(y - y1) = m(x - x1)

Let (x1, y1) = (-16, 7)

and slope m = -7/16

Using above formula,

(y - 7) = (-7/16)(x - (-16))

y - 7 = (-7/16)(x + 16)

y = -7/16x - 7 + 7

y = (-7/16)x

This equation is slope-intercept form (y = mx + c) with slope -7/16 and y-intercept 0.

Therefore, a equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x

Learn more about equation of line here:

https://brainly.com/question/21511618

#SPJ9

The slope is -5/3

From the question, we have

slope, m = change in y/change in x

= (-6+1)/(8-5)

=-5/3

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Slope of a Line :

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

As a result, m = change in y/change in x = y/x is the formula for the change in y-coordinate with respect to the change in x-coordinate.

where "m" represents a line's slope.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

To learn more about slope of a line visit: https://brainly.com/question/16180119

#SPJ1

The annual percentage growth rate is 5.9%

The doubling time of an investment of $10000 is 12 years

The compound interest caluclated annually can be given by

A=P(1 + r/n)^nt

where A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

20000 = 10000(1 + r)¹²

2⁻¹² = 1 + r

r = 1.059 - 1

r = 0.059

Rate of inetrest = 5.9%

Therefore, the annual percentage growth rate is 5.9%

To learn more about compund interest refer here

https://brainly.com/question/24274034

#SPJ1

The probability that the spinner would land on a number that is not between 16 and 25 as required in the task content is; 13 / 15.

It follows from the task content that the probability that the spinner would land on a number that is not between 16 and 25, inclusive be determined.

Since the spinner contains 1 through 75, the number of event in the sample space is; 75 events.

Also, the number of events between 16 and 25, inclusive is; 10.

Therefore, the number of events outside 16 through 25 is; 75 - 10 = 65.

Therefore, the required probability that the spinner would land on a number that is not between 16 and 25 is;

= 65 / 75

= 13 / 15.

Therefore, the required probability is; 13 / 15.

Read more on probability;

https://brainly.com/question/25839839.

#SPJ1

Answer:

Step-by-step explanation:

Answer:

(-6,4)

Step-by-step explanation:

add the equations together to equal

2y=8

y=4

now solve for x

3x+10(4)=22

3x+40=22

3x=-18

x=-6

Answer:

(-6,4)

Step-by-step explanation:

add the equations together to equal

2y=8

y=4

now solve for x

3x+10(4)=22

3x+40=22

3x=-18

x=-6

Answer:

Step-by-step explanation:

4.75 x 32=152

2,456.75+152=2608.75

Answer:

2608.75

Step-by-step explanation:

4.75 x 32 = 152

2456.75 + 152 = 2608.75

Answer:

  c.

Step-by-step explanation:

You want a linear combination of the given 3×3 matrices.

We observe that the answer choices are different in most corresponding terms, so we only need to find the value of one term in order to choose the correct answer.

The expression applied to the matrices is applied to corresponding terms of the matrices. That is, for ...

  [tex]C = -2A +7B[/tex]

you will have ...

  [tex]c_{11}=-2a_{11}+7b_{11}\\\\c_{11}=-2(4)+7(7)=-8+49\\\\c_{11}=41[/tex]

This matches choice c.

__

Additional comment

Many graphing calculators and all spreadsheets can do the necessary calculations to help you find the desired result matrix.

86.135 is the IQ score separating the bottom 25% from the top 75%.

The number between a data set's lowest and median is known as the first quartile. We would utilize a Z table to locate it.

As we are looking on the left side of distribution, value of z-score will be negative.

z-score equation for x : [tex]z = \frac{x-M}{S}[/tex]

                                       [tex]x = zS+M[/tex]

where x = value we're looking for

M = Mean

   = 99.2

S = Standard deviation

  = 19.5

z = z-score

  = -0.67

Putting the value in equation,

x = -0.67*19.5 + 99.2

  = -13.065 + 99.2

  = 86.135

Hence, 86.135 is the IQ score separating the bottom 25% from the top 75%.

To learn more about IQ score here:

https://brainly.com/question/13185136

#SPJ1

The slope-intercept definition of the linear function is given as follows:

y = x + 2.

The slope-intercept representation of a linear function is obtained by the rule presented as follows:

y = mx + b.

The coefficients of the function, along with their meaning, are shown as follows:

For this problem, the values of these coefficients are given as follows:

Hence the slope-intercept rule for the function is:

y = x + 2.

The graph of the linear function is given by the image shown at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer: (6, 0)

Step-by-step explanation:

Plug each coordinate in and see if the equation holds true.

At (6,0), [tex]4(6)-5(0)=24[/tex].

So (6, 0) is a solution of the equation.

Answer:

y = 0.25x³

Step-by-step explanation:

Since y is directly proportional to x³, then y = kx³, where k is a constant.

When x = 10, y = 250,

   250 = k(10)³

1000k = 250

    ∴ k = 0.25

∴ y = 0.25x³

Answer:

<ABC is bisected by ray BD, 2m<DBC = m<ABC, BC = 1/2AC

Step-by-step explanation:

Answer:

1.y=-16

2.y=-10

3.y=-4

4.y=2

hope ut helps!

have a nice night

Answer:

Domain: (-∞, +∞)

Range: [2, +∞)

Step-by-step explanation:

Domain is the "allowable x-values/inputs"

Range is the "possible y-values/outputs when the x-values in the domain are inputted".

From the graph, notice how each end of it extends infinitely to the left and to the right. This means that the domain is infinite and there are no restrictions. Writing it in interval location would look like this:

(-∞, +∞)

Also, notice how the y-values increase from the vertex but do not go below it. That suggests that the range is "lower-bounded" to the vertex, and increases infinitely. Writing it in interval location would look like this:

[2, +∞)

Assuming Pod wrote that N could be equal to -18, Pod is correct.

A quadratic equation is an equation with a variable to the second power as its highest power term.

The Standard Form of a Quadratic Equation:

ax² + bx + c = 0

where:

x² + 7x - 18 = (x + 9)(x - 2) . . . . . g = 9, h = -2

There are no integer factors of 13 that add to give 7. 13 is prime, so the sum of its integer factors is 1+13 = 14.

Learn more on Quadratic Equations here:

brainly.com/question/8649555

#SPJ1

Answer:

190 cm²

Step-by-step explanation:

     Area of one regular hexagon is given. Multiply 23 *2 and it will give the area of two regular hexagons.

There are 6 rectangles. Find the area of one rectangle and multiply it by 6.

 Area of regular hexagon = 23 cm²

Area of rectangle = length * width

                             = 8 * 3

                             = 24 cm²

      Area of the regular hexagon prism = 2* area of regular hexagon + 6*area of rectangle.

                                                                 = 2*23 + 6*24

                                                                 = 46 + 144

                                                                 = 190 cm²

The correct answer or scientific notation when 3.185× 10¹⁷ is divided by 9.1×10⁸ is 3.46×10⁸ and multiplying  3.185× 10¹⁷ with 9.1×10⁸  is 2.9×10²⁶.

It is given in the question that 3.185× 10¹⁷ is divided by 9.1×10⁸

we can write 3.185×10×10¹⁶ which equals 31.5×10¹⁶.

Now dividing 31.5×10¹⁶ by 9.1×10⁸ we get 3.46×10⁸.

Now multiplying  3.185× 10¹⁷ with 9.1×10⁸ we get 28.98×10²⁵

Converting 28.98×10²⁵ in scientific notation we get 2.9×10²⁶.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation and known as standard form in the UK .

In scientific notation, a representation of a number that is a power of ten can also be written with equal ease. Additionally, you'll see that the amount of zeros in a regular decimal expression is exactly equal to the power to which 10 is raised.

Any time a number is expressed in words, it must first be written down as a regular decimal number before being converted. "Ten million" becomes "10,000,000" and vice versa.Ten million is written in powers of ten notation because there are seven zeros in all.

To know more about 'scientific notation' related questions

visit- https://brainly.com/question/28876255

#SPJ9

The number of chocolate bars, c, the sports club must sell in order to reach their goal is 80

An inequality refers to a statement that has two quantities in which one is specifically less than (or greater than) another. Symbols of inequality includes:

Let

The inequality that represent the situation is given by

3c ≥ 240

c ≥ 240/3

c ≥ 80

Therefore, all real whole numbers greater than or equal to 80 is the number of chocolate bars, c, the sports club must sell in order to reach their goal.

The shaded area to the right of the solid line c = 80 is the graph which represent the inequality.

Complete question:

A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3c > 240. Which graph represents this inequality?

Read more on inequality graph:

https://brainly.com/question/10284770

#SPJ1

Answer:

[tex] \huge{ \bold{y = 45x + 94}}[/tex]

Step-by-step explanation:

Equation of a line in slope-intercept form is represented by

[tex]y = mx + c[/tex]

where

m is the slope

c is the y intercept

From the question

m = 45

In order to find c we substitute the point (0,94) into the equation y = mx + c

That's

[tex]94 = 45(0) + c \\ 94 = 0 + c \\ c = 94[/tex]

We now substitute m and c into the equation

We have the final answer as

[tex] \bold{y = 45x + 94}[/tex]

Hope this helps you

Answer:

t=1.33333 seconds

Step-by-step explanation:

1. We are give the the position function, s(t). We must differentiate s(t) twice in order to find the acceleration function, a(t).

s(t) = t⁶-2t⁵

Taking the power rule to differentiate s(t), we find the velocity function, v(t).

v(t) = d/dt (t⁶-2t⁵)

v(t) = 6t⁵-10t⁴

Differentiate v(t) using the power rule again to find the acceleration function, a(t).

a(t) = d/dt (6t⁵-10t⁴)

a(t) = 30t⁴-40t³

2. To find the other t value where acceleration is equal to zero, we must set a(t) to zero.

a(t) = 30t⁴-40t³ = 0

3. Algebraically solve for t. Factoring out 10t³ from a(t), we have:

10t³(3t-4)=0

Our solutions are t=0 and t=4/3.

The other value of t when acceleration is equal to zero is 4/3, or 1.33333 seconds.

Suppose that the equations of line [tex]C[/tex] and [tex]D[/tex] are as follows;

If these two lines are parallel to each other, the following equality must be satisfied.

In summary, the slope of the two lines must be equal to each other.

We know the equation of line [tex]C[/tex]. Then let us form the equation of line [tex]D[/tex].

We must find the variable [tex]c_{1}[/tex] by placing the given point [tex](-3,-1).[/tex]

If we write it in slope-intercept form, the correct answer will be as follows;

Answer:

Step-by-step explanation:

Find the equation of p(x) using table.

We see it is a proportional relationship, therefore:

Conveyor belt2: p(x) = 62.8x

As we see 157.1 > 62.8 which means conveyor 1 belt is faster.

Answer:

The conveyor belt 1 is faster.

Step-by-step explanation:

Speed of conveyor belt 1,

→ m(x) = 157.1x

Now the speed of conveyor belt 2,

→ p(x) = x

→ p(125.6) = 2x || p(188.4) = 3x

→ x = 125.6/2 || x = 188.4/3

→ [ p(x) = 62.8 ] || [ p(x) = 62.8 ]

Then the fastest conveyor is,

→ m(x) = 157.1x > p(x) = 62.8

→ 157.1x > 62.8

→ Conveyor 1 > Conveyor 2

Hence, the conveyor belt 1 is faster.

The probabilities in this problem are given as follows:

The probabilities for each strike are given as follows:

The probabilities are independent, meaning that for each trial they are the same.

Thus the probability that your first strike was a critical hit but not your second strike is obtained as follows:

P = 0.33 x 0.67 = 0.2211 = 22%. (rounded).

Damage is caused with two consecutive critical hits, hence:

p = 0.33 x 0.33 = 0.11 = 11%.

The final probability, that your strike was not critical but your next 2 attacks were, is obtained as follows:

p = 0.67 x 0.33 x 0.33 = 0.07 = 7%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

The possible number is 10 which is a product of 2, 5, 10

LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is defined as the least common multiple. It is also known as the Least Common Divisor (LCD). For example, LCM (4, 5) = 20. In this case, the LCM 20 is divisible by both 4 and 5, so 4 and 5 are referred to as the divisors of 20.

Given numbers 2, 5, 10

We have to find the number which is produced by the given numbers

Now we have to find the LCM of these numbers

LCM of 2, 5, 10

2 = 2 x 1

5= 5 x 1  

10 = 2 x 5

= 1x 2 x 5

= 10

The LCM of 2,5,10 is 10

Therefore 10 is the required number which is a product of 2, 5, 10

To learn more about LCM visit

https://brainly.com/question/24510622

#SPJ1

The mean of the number of plants (d) increases by 5.5

From the question, we have the table of values that can be used in our computation:

In the table, we have the following rows

Plants and Number of tomatoes

The mean of the number of plants is calculated as

Mean plant = Total number of tomatoes/Total number of plants

For the four plants, we have

Total number of tomatoes = 31 + 25 + 6 + 28 =  90

Total number of plants = 4

Substitute the known values in the above equation So, we have the following equation

Mean plant = 90/4

Mean plant = 22.5

For the three plants, we have

Total number of tomatoes = 31 + 25 + 28 =  84

Total number of plants = 3

Substitute the known values in the above equation So, we have the following equation

Mean plant = 84/3

Mean plant = 28

See that the difference is an increment of

Increment = 28 - 22.5

Evaluate

Increment = 5.5

Hence, the mean increases by 5.5

Read more about mean at

https://brainly.com/question/14532771

#SPJ1

Answer:

5 : (1/4) = 201 = 20

Step-by-step explanation: