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3 years ago

What is the d value of the following arithmetic sequence? 5, 2, -1, -4, -7,…

2 answers:

6 0

The d value is going to be -3 because you have to compute the differences of all the adjacent terms. 2-5=-3 -1-2=-3 -4-(-1)=-3 -7-(-4)=-3 The difference between all the adjacent terms is the same and equal to -3

stiks02 [169]3 years ago

4 0

Common difference (d) = a(2) - a(1) = 2 - 5 = -3

In short, Your Answer would be -3

Hope this helps!

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A box contains 17 marbles, 13 blue marbles, and 23 white marbles. What is the part-whole ratio of red marbles in the box.

sergij07 [2.7K]

Since the ratio is part-Whole, first you need to find the whole. If you add all of the marble colors together (17+13+23) you get the total marbles (53) in the box. The ratio of red marbles to the total would be 17 to 53.

6 0

3 years ago

The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The

sveta [45]

Answer:

$Perimeter = 12y$

Step-by-step explanation:

Given

$Area = 18y^2 - 8$ -- two rectangles

Required

Determine the perimeter of one of the rectangles

First, calculate the area (A) of 1 rectangle

$A =\frac{1}{2}Area$

$A =\frac{1}{2}(18y^2 - 8)$

$A =9y^2 - 4$

Express as difference of two squares

$A =(3y - 2)(3y+2)$

Area is calculated as:

$A = Length * Width$

So, by comparison:

$Length = 3y - 2$

$Width = 3y + 2$

The perimeter is:

$Perimeter = 2 *(Length + Width)$

$Perimeter = 2 *(3y-2+3y+2)$

Collect Like Terms

$Perimeter = 2 *(3y+3y-2+2)$

$Perimeter = 2 *(6y)$

$Perimeter = 12y$

8 0

3 years ago

The area of the parallelogram shown below has an area of 72 units2

nordsb [41]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your question for a better understanding and I hope it will fit the original one.

The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.

Here is my answer:

Given:

The area: 72 units squared.

The base: 6 units

As we know that the area of the parallelogram is represented by below formula:

A = b*h where h is the height and b is the base

In this situation, we know:

72 = 6*h

<=> h = 12

So the missing height is 12 units

Step-by-step explanation:

4 0

3 years ago

Solve and graph the following: -6 -8x >-5<br><br>

OverLord2011 [107]

Answer:

-1/8 > x

Step-by-step explanation:

Rewrite the equation to -1 > 8x, so -1/8 > x

Dot -1/8 on the number line, and everything on the left of that point( if right is positive ) is x .

8 0

3 years ago

Read 2 more answers

The scatter plot shows the relationship between the number of car accidents in a month and the number of drivers attending a pro

juin [17]

Solution:

Equation of best fit , which describes the relationship between the number of car accidents in a month and the number of drivers attending a program on distracted driving.

The equation is : y= −0.0067 x + 17

Comparing with slope intercept form of line which is , y= m x + c

where m, is the slope of line= -0.0067

Y intercept = 17

If the points are closer to Line of best fit , it means high correlation, and if points are far away from line of best fit it means low correlation between x and y values.

If , X= number of car accidents in a month

Y= number of drivers attending a program on distracted driving.

If, x= 0, y=17, that is,

if number of car accidents=0

Then, number of drivers attending a program on distracted driving= 17

If, Y= number of car accidents in a month

X= number of drivers attending a program on distracted driving.

If, x= 0, y=17,

number of drivers attending a program on distracted driving= 0

Still, number of car accidents in a month=17

6 0

3 years ago

Read 2 more answers