What is the 30th term of the linear sequence below?
-4,-1,2,5,8...

Answer:

A Jeff is faster than Cameron.

Step-by-step explanation:

Given

[tex]Jeff = 7km/hr[/tex]

[tex]Cameron = 100m/min[/tex]

Required

Which is faster

To do this, we simply convert both to the same unit.

We have:

[tex]Jeff = 7km/hr[/tex]

Convert to m/min

[tex]1km \to 1000m; 1hr \to 60min[/tex]

So:

[tex]Jeff = \frac{7 * 1000m}{1 * 60min}[/tex]

[tex]Jeff = \frac{7000m}{60min}[/tex]

[tex]Jeff = 117\ m/min[/tex]

Recall that: [tex]Cameron = 100m/min[/tex]

By comparison:

[tex]117m/min > 100m/min[/tex]

Hence, Jeff is faster.

Answer:

x = √30

Step-by-step explanation:

We are given an equilateral triangle, so the angles will all be (180/3). = 60

Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x

Tan θ = opposite / Adjacent

Tan 60 = x / √10

Tan 60 = √3

Hence,

√3 = x / √10

x = √3 * √10

x = √30

Answer:

29/180 is the answer for 58/360 in simplest form

Answer:

Step-by-step explanation:

If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,

2x = 210 and x = 105.

The total sum = 210 + 3(105) + 5(105) so

Total sum = 210 + 315 + 525

Total sum = 1050 and

C's share is 525 and

B's share is 315

Answer:

Your answer will be B

Step-by-step explanation:

Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8

You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...

I hope this helped if not tell me please....❤

Answer: Option B (y=8x+14)

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14

y=8(0)+14

y=14

y=8x+14

y=8(1)+14

y=8+14

y=22

y=8x+14

y=8(2)+14

y=16+14

y=30

and so on. Now your answer would be Option B.

THE CREDIT GOES TO (IjlalHashmi)

Answer:

What

Step-by-step explanation:

You can’t have more than 2 combinations with £9

Answer:

B

Step-by-step explanation:

3x+2=3x-2

3x+4=3x

a number plus 4 cannot be equal to itself

Answer:

Option (b) second one is the correct answer

Answer:

24 feet

Step-by-step explanation:

Use the perimeter formula, P = 2l + 2w, where l is the length and w is the width.

Plug in the values, and solve:

P = 2l + 2w

P = 2(7) + 2(5)

P = 14 + 10

P = 24

So, the perimeter of the canvas is 24 feet

Answer

p = 19/40

Please give brainliest

Problem 1

Part (a)

It is possible to find the equation of the line of best fit by hand, but it's much more efficient to use technology. That could mean a graphing calculator, an online tool, or some computer software installed. I'm going to use GeoGebra. Specifically, I'm using the "FitLine" command to find the regression line.

The equation of line of best fit is y = -2.45x + 11.83

There's not much to say in terms of steps, since it's basically a calculator problem. Doing this by hand would take a lot longer than it should be.

------------

Part (b)

Plug in x = 2.3 and evaluate

y = -2.45x + 11.83

y = -2.45*2.3 + 11.83

y = 6.195

Answer: 6.195

-------------

Part (c)

We'll compare the result from the previous part (6.195) to the y value in the table (6.2)

The difference is 6.2 - 6.195 = 0.005

This means the estimated value is off by 0.005 and this is an underestimate (since 6.195 is smaller than 6.2)

===================================================

Problem 2

To be perfectly honest, I'm not sure what's going on here. It seems like there's missing context to the problem. Perhaps a data table that got cut off or this is referring to a previous problem.

===================================================

Problem 3

Recall that y = mx+b is the slope intercept form

m = slope

b = y intercept

We simply read off the values of the given equation y = 0.404x - 5.18 to see that 0.404 is the slope and -5.18 is the y intercept

The slope tells us that each time x goes up by 1, y will increase by an estimated amount of 0.404; this represents the unit rate or speed. In this context, it means the height goes up by about 0.404 cm per day. This is an estimated value because the regression line itself is a collection of estimated points.

The y intercept is where the graph crosses the y axis. It always occurs when x = 0. The x refers to the day number. Day 0 is basically the starting day. So the y intercept being -5.18 means the estimated height is -5.18 cm on the starting day. At first glance, it might not seem possible to have a negative height. But simply think of negative heights as below ground level, much like how the negative y values are below the x axis.

In other words, the plant is estimated to start off at about 5.18 cm below ground level. This is a reasonable assumption because the seed is buried into the ground (assuming at this level more or less) and it then grows upward.

Answer:

Domain { 4,8,12,16,20}

Range { 1,2,3,4}

This is not a function because two of the inputs have more than one output

Step-by-step explanation:

The domain is the x values ( input)

Domain { 4,8,12,16,20}

The range is the y values (output)

Range { 1,2,3,4}

This is not a function because two of the inputs have more than one output

Answer:

[tex]9.38 \times 10^{2}[/tex]

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       [tex]m \times 10^n[/tex],

where m is a number between 1 and 10.

Answer:

[tex]9.38 \times {10}^{2} [/tex]

Step-by-step explanation:

All numbers in standard form are written

[tex]m \times {10}^{n} [/tex]

Answer:

1. Unbiased

2. Biased

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer: (4, 1)

Step-by-step explanation:

Let's solve this by adding the equations

2x+3y=11

+x-3y=1

3x=12

Now we can solve

[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]

Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.

[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]

The answer is (4, 1)

Answer:

C

Step-by-step explanation:  6  23  17  16

15 is the highest value

Answer:

7:00 pm

Step-by-step explanation:

Mode - Result that appears the most

15 people said they preferred the time 7pm. 15 is the largest number out of the given data

So the mode is 7pm

Answer:

c=9.75cm^2

Step-by-step explanation:

156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156

Answer:

step 4

Step-by-step explanation:

Answer:

Step  4

Step-by-step explanation:

[tex]\frac{1 + 3^2}{5} + |-10| \div 2\\\\Step \ 1 : \frac{1 + 3^2}{5} + 10 \div 2\\\\step \ 2 : \frac{1 + 9}{5} + 10 \div 2 \\\\Step \ 3 : \frac{10}{5} + 10 \div 2\\\\Step\ 4: 2 + 10 \div 2\\\\Step \ 5 : 2 + 5 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ given : 12 \div 2 \ ]\\\\Step \ 6 : 7[/tex]

Answer:

rate of change: 15 pages per day

initial value: 50 pages

Step-by-step explanation:

In this scenario, the rate of change is 15 pages per day. This means that every single day Angelica can read 15 pages of the book and that is the number by which her total read pages will change. In 10 days Angelica can read 150 pages (10 days * 15 pages per day). Since the question states that in 10 days Angelica has read 200 pages then this means that the initial value of pages read would be 50 since this would be the number of missing pages to obtain the 200 read pages in a span of 10 days...

200 - 150 = 50 pages.

Answer:

198 mg

Step-by-step explanation:

A child weighs 44 lbs.

Step 1

We convert the child's weight to kg

1 Ibs = 0.45kg

44 Ibs = x

Cross Multiply

1 Ibs × x = 44 Ibs × 0.45 kg

x = 44 Ibs × 0.45 kg/1 Ibs

x = 19.8 kg

Step 2

The physician orders a medication for 10 mg/Kg/day.

From the above statement, we know that:

10mg = 1 kg

Hence, what you give per day is calculated as:

1 kg = 10 mg

19.8kg = x

Cross Multiply

1 kg × x = 19.8kg × 10mg

x = 19.8kg × 10mg/1kg

x = 198mg

Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day

Answer:

zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.

An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.

I hope this will help you

Answer:

83

Step-by-step explanation:

a_1 = -4

a_2 = -1

a_2 - a1 = -1 - (-4) = 3

Each new term is 3 added to the previous term.

a_n = a_1 + 3(n - 1)

Test: Let's find the 4th term and see if we get a_4 = 5.

a_4 = a_1 + 3(4 - 1) = -4 + 3(3) = -4 + 9 = 5

We see that the 4th term really is equal to 5.

a_30 = a_1 + 3(30 - 1) = -4 + 3(29) = -4 + 87 = 83