Define the following sequence recursively:

4, 15, 26, 37, ...

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

Answer:

∠ B = 116°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ B + 28° + 36° = 180°

∠ B + 64° = 180° ( subtract 64° from both sides )

∠ B = 116°

Answer:

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

so

180 - 36 - 28 =

116°

Answer:

expanded for everything

Step-by-step explanation:

Expanded Form of 531.029:

531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)

531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)

531.029 = 500 + 30 + 1 + 2/100 + 9/1,000

531.029 = 500 + 30 + 1 + 0.02 + 0.009

Answer:

Step-by-step explanation:

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

Total sand in the bottom part:

Time taken:

Step-by-step explanation:

let's think this through.

train a goes from A to B in 6 hours. that means with a speed of 1/6 / hour.

train b goes from B to A in 3 hours, so it is twice as fast as train a = 2/6 / hour.

when train b leaves B (at 7pm), train a was already traveling for 2 hours (1/3 of the whole trip) leaving it with 4 hours to go (2/3 if the distance).

that means that at that point now both trains are moving against each other with a relative speed of 3 times the

speed of a (the original speed of a plus the double speed of b).

this is the same as one train standing, and the other going the whole distance with 3 times the speed of a.

the whole distance is 2/3 of AB.

the speed is 3/6 / hour = 1/2 / hour.

so, a single train with that speed would cover the total distance AB in 2 hours. or half of the distance in 1 hour.

the question now, how long for 2/3 of AB.

the distances relate by a factor :

1/2 × f = 2/3

f = 2/3 / 1/2 = 2/3 × 2/1 = 4/3

now we need to multiply also the time in the distance/time speed ratio by this factor.

therefore, 2/3 of the total distance is done in 1×4/3 = 4/3 of an hour.

that means both trains meet after 4/3 of an hour after 7pm.

that is 7pm plus 1 hour and 20 minutes giving us 8:20pm.

Answer:

MLK :)

Step-by-step explanation:

Congruent means identical shape.

Answer:

D. KLM

Step-by-step explanation:

The result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].

The given parameters:

16÷(2+12)2

The given expression can be evaluated in the following order as shown below;

add the numbers in the bracket;

2 + 12 = 14

multiply the numbers in the bracket by 2;

14 x 2 = 28

divide the 16 by your result after the multiplication;

[tex]= \frac{16}{28} \\\\[/tex]

divide the numerator and denominator by their common factor which is 4;

[tex]\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}[/tex]

Thus, the result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].

Learn more about simplification of algebra here: https://brainly.com/question/432678

Answer:

3,888 ft³

Step-by-step explanation:

Multiply the dimensions together.

[tex](36)(18)(6)=3888[/tex]

Therefore, the box is 3,888 ft³.

The volume of the box in feet given its dimensions is 2 1/4 feet³.

The volume of the box can be determined by multiplying the length, width and height of the box with each other.

Before the volume can be determined, the dimensions have to be converted from inches to feet.

1 inch - 1/12 feet

Volume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

#SPJ2

The value of x that makes sense for the expression is the domain of the expression

[tex]\sqrt{-2x^2}[/tex]

For the above expression to have a defined value, the expression in the bracket must be positive.

However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0

Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0

[tex]\sqrt{(-2x)^3}[/tex]

For the above expression to have a defined value, the expression in the square root must be positive.

However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0

Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense

Read more about domain at:

https://brainly.com/question/10197594

Answer: First answer = x<=0 and second answer is x<0

Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.

Answer:

40x --14

Step-by-step explanation:

Multiply 9 and 2 to get 18

Use distribute property

Multiply 8 by 5x -15

Subtract 32 from 18 = -14

Answer:

28ft tall

Step-by-step explanation:

Since they are proportional, you can set up a ratio of length to width.

L/W=L/W

42/54=L/36

L=(42*36)/54

L=28

Answer:

Step-by-step explanation:

0 is not an interval, it is just the origin

hard to make an estimate without knowing the limits.

average rate of change will be Δy / Δx or (y - y₀) / (x - x₀)

as (0, 0) is the origin and appears to be on the plot line, the average rate of change will be y/x for any other point on the curve relative to the origin.

EDIT

for interval 0 ≤ x ≤ 8

at x = 8 y appears to be -24

average change is -24 / 8 = -3

Answer:

Step-by-step explanation:

Solution for 468 is what percent of 486:

468:486*100 =

(468*100):486 =

46800:486 = 96.3

Now we have: 468 is what percent of 486 = 96.3

Question: 468 is what percent of 486?

Percentage solution with steps:

Step 1: We make the assumption that 486 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=486$.

Step 4: In the same vein, $x\%=468$.

Step 5: This gives us a pair of simple equations:

$100\%=486(1)$.

$x\%=468(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$frac{100%}{x%}=frac{486}{468}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$frac{x%}{100%}=\frac{468}{486}$

$Rightarrow x=96.3%$

Therefore, $468$ is $96.3%$ of $486$.

Answer:

14

Step-by-step explanation:

-3u = 4+5

-3u = 9

u = -3

7u + 7

7(u +1) = 7(-3+1)

7(-2)

14

Answer:

4:6

Step-by-step explanation:

2 x

- = ----

3 6

6/3 = 2

2 x 2 = 4

Answer:

$8   16    24     32   40     48      56      64   72      80

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

4     8     12     16    20     24     28     32     36     40

Step-by-step explanation:

Answer:

11 11/12

Step-by-step explanation:

Answer:

≈ 12

Step-by-step explanation:

To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.

Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.

In a function, one value of the input can be related to only one value of the output.

In this problem:

Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.

To learn more about the function concept, you can take a look at https://brainly.com/question/12463448

Answer:

I think like expressions you use x or y or such many variables. you use - or + too. like (x+2)y there are parentheses too.

The only table that represents a function is table A

For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.

Hence the only table that represents a function is table A

Learn more on tables and functions here: https://brainly.com/question/3632175

Answer:

Step-by-step explanation:

y = $20(1.05)² = $22.05

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

Answer:

30

Step-by-step explanation:

14×2=28

28+2=30

i hate riddles

Answer:

hlp

Step-by-step explanation:

hlp