What is the 21st term of the sequence with a1 = -6 and d = 4?

Answer:

Table (4)

Step-by-step explanation:

If data in the given tables show the proportional relation then they will follow the rule,

y = kx

k = [tex]\frac{y}{x}[/tex]

where 'k' = proportionality constant

From table (1),

k = [tex]\frac{2}{1}[/tex] = 2

k = [tex]\frac{3}{2}=1.5[/tex]

But 2 ≠ 1.5

So the data in the table (1) is not proportional.

Table (2)

k = [tex]\frac{0}{2}=0[/tex]

k = [tex]\frac{2}{4}=0.5[/tex]

Therefore, data in the table is not proportional.

Table (3)

k = [tex]\frac{1}{0}[/tex] = Not defined

k = [tex]\frac{3}{2}=1.5[/tex]

Data is not proportional.

Table (4)

k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]

  = 3

k = [tex]\frac{3}{1}=3[/tex]

3 = 3

Therefore, data given in table (4) represents the proportional relationship.

Answer:

Step-by-step explanation:

AC ≅ AD ; BC≅ BD                      Given

AB ≅ AB                                        Reflexive property of congruence

ΔACB ≅ ΔADB                              Side Side Side Postulate

Answer:

4

Step-by-step explanation:

Answer:

The measure of the largest angle is 72º.

Step-by-step explanation:

We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.

Answer:

As the x=-2 does not satisfy the inequality.

Therefore, the solution is False!

Step-by-step explanation:

Given the expression

[tex]x-10x+1<\:20+\:5x\:[/tex]

substituting the value x = -2

[tex]\left(-2\right)-10\left(-2\right)+1<20+5\left(-2\right)[/tex]

[tex]-2+20+1 < 20-10[/tex]

[tex]19 < 10[/tex]

As the x=-2 does not satisfy the inequality.

Therefore, the solution is False!

Answer:

e. 79/30     f.   18.2

Step-by-step explanation:

Answer:

I can’t see the picture!

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

Let's solve your equation step-by-step.

35=1.5x−10

Step 1: Flip the equation.

1.5x−10=35

Step 2: Add 10 to both sides.

1.5x−10+10=35+10

1.5x=45

Step 3: Divide both sides by 1.5.

1.5x÷1.5=45÷1.5

x=30

Answer:

I would say, 2.5

Step-by-step explanation:

Because the calculator said 2.67

Answer:

I think that it is

C

Please let me know if it is not correct!!!!

Answer:

A would most likly be the answer

Step-by-step explanation:

because in the equation sinse A =  -5 1/4 which is whe he was at the end hopefully you understand

Starting from

[tex]f(x)=\dfrac14(x+1)^{\frac83}-4(x+1)^{\frac23}[/tex]

take the first derivative using the power and chain rules:

[tex]f'(x)=\dfrac83\cdot\dfrac14(x+1)^{\frac83-1}-\dfrac23\cdot4(x+1)^{\frac23-1}[/tex]

[tex]f'(x)=\dfrac23(x+1)^{\frac53}-\dfrac83(x+1)^{-\frac13}[/tex]

Now take the second derivative:

[tex]f''(x)=\dfrac53\cdot\dfrac23(x+1)^{\frac53-1}-\left(-\dfrac13\right)\cdot\dfrac83(x+1)^{-\frac13-1}[/tex]

[tex]f''(x)=\boxed{\dfrac{10}9(x+1)^{\frac23}+\dfrac89(x+1)^{-\frac43}}[/tex]

Optionally, you can condense the second derivative a bit by factoring out [tex]\frac89(x+1)^{-\frac43}[/tex], which gives

[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^{\frac63}+1\right)[/tex]

[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^2+1\right)[/tex]

[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80x^2+160x+81\right)[/tex]

Answer: pretty sure it's -1,1

M ( 3 , 1 )

Step-by-step explanation:

Answer:

J ( -1 , 1 )

M ( 3 , 1 )

Explanation:

When moving coordinates left = subtract from previous X position

When moving coordinates right = add from previous X position

When moving coordinates up = add from previous Y position

When moving coordinates down = subtract from previous Y position

Answer and Step-by-step explanation:

Answer:

[tex]Average = 2.073[/tex]

Step-by-step explanation:

Given:

Time: 2.15, 2.05, 2.02

Required

Determine the average

Average is calculated as thus:

[tex]Average = \frac{\sum x}{n}[/tex]

In this case:

[tex]\sum x = 2.15+2.05+2.02[/tex]

and

[tex]n = 3[/tex]

[tex]Average = \frac{\sum x}{n}[/tex] becomes

[tex]Average = \frac{2.15+2.05+2.02}{3}[/tex]

[tex]Average = \frac{6.22}{3}[/tex]

[tex]Average = 2.073[/tex]

Answer:

2.07

Step-by-step explanation:

I took the Lab and got it right

the answer for the next two questions are

The average time to the first quarter checkpoint is

2.07

seconds.

The average time to the second quarter checkpoint is

3.16

seconds.

The average time to the third quarter checkpoint is

4.11

seconds.

The average time to the finish line is

4.92

seconds.

Have a good day and good luck with the rest of your school :D

Answer:

b, d, e

Step-by-step explanation:

Answer: You need to divide the numbers.

Step-by-step explanation:

Answer:

The answer is X=3

Step-by-step explanation:

2/5x=6/5

x=6/5*5/2=3

So your answer is 3

Hope this helps

also can I plz have brainliest :)

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

Work Shown:

f(x) = |x+1|

f(-5) = |-5+1| .... x is replaced with -5

f(-5) = |-4|

f(-5) = 4

Answer:

500

Step-by-step explanation:

you welcome!! can  have brainliest?

Answer:

500

Step-by-step explanation:

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:

y-intercept (b) = -5

✔️using two pairs from the table, (1, -1) and (2, 3):

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4 [/tex]

Slope = 4

✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.

Thus:

y = 4x +(-5)

y = 4x - 5

9514 1404 393

Answer:

  a) no

  b) yes

Step-by-step explanation:

a) You cannot draw the graph around x=0 without lifting your pencil. The function is not continuous at x=0.

__

b) You can draw the graph around x=1 without lifting your pencil. The function is continuous at x=1.

_____

Additional comment

In technical terms, the limit from the left at x=0 is 2; the limit from the right is 3. These are different, so the function is not continuous there.

On the other hand, the left and right limits at x=1 are the same (both 2), and are equal to the value of the function at that point (f(1)=2). Hence, the function is continuous at x=1.

Answer:

[tex]\frac{8}{14} = \frac{14}{x+2}[/tex]  (since they're similar, set them up as a proportion to find x)

14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)

196 = 8x +16 (subtract 16 from both sides)

180 = 8x (divide both sides by 8)

x= 22.5 (is your answer, or C)

Step-by-step explanation:

Answer:

[tex]\frac{31}{50}-\frac{4i}{25}[/tex]

Step-by-step explanation:

Answer:

556

Step-by-step explanation:

formula

L = a + (n - 1)*d

Givens

n = 70

a = 4

d = 8

Solution

t = 4 + (70 - 1)*8

t = 4 + 69*8

t = 4 + 552

t = 556

Answer:

-6x=64

Step-by-step explanation:

Answer:

64 -- 6 = x

( x equals 58 btw )

<3 Enjoy,

    Dea

Answer: Bottom Left

Step-by-step explanation:

Answer:

bottom left

Step-by-step explanation:

cuz it makes sense

Answer:

200

Step-by-step explanation:

Find 60 kilos then just follow the line up till you reach the blue line