f(x) = 4(4 + x) whats the answer? and would that be the constant rate?

Answer:

2/3 or .66 repeated

Step-by-step explanation:

1 1/3= 1.33

1.33 + .66..7 is 2

Answer:

[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let the number be x

Given condition:

[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]

Answer:

  200 miles

Step-by-step explanation:

Each inch represents 50 miles, so 4 times 1 inch will represent 4 times 50 miles.

  4(1 in) ⇔ 4(50 mi)

  4 in ⇔ 200 mi

It is about 200 miles from Chelsea to New York City according to the map.

Answer:

12a

Step-by-step explanation:

If I'm understanding your question correctly, 3(4a), or 3 × (4a), is simply 12a.

Answer: 12a

Step-by-step explanation:

Multiply:

3(4a)

⇒3 × 4a

⇒12a Answer

hope that helps...

   The angle of elevation is the angle of which something, in simple terms, is raised from a straight plane. If it is the angle downwards, we call this the angle of depression.

      An image giving an example, or a visual description, is attached.

It comes from Khan Academy.

Answer:

I'm Pretty sure

Step-by-step explanation:

Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...

Step 2: Calculate quartile differences. ...

Step 3: Create a stacked column chart. ...

Step 4: Convert the stacked column chart to the box plot style.

Answer:

14.

Step-by-step explanation:

42 = 2 8 3 * 7

Largest prime factor = 7

28 = 2 * 2 * 7

Smallest prime factor = 2

Answer = 2*7 = 14.

Answer:

exponential

Step-by-step explanation:

The function follows the rule :

Let's check

Common ratio

Its a geometric sequence

Hence exponential

Based on the amounts Julia paid and the percentage rates, the missing amounts are:

Julia's social security taxes were:

= 6.2% x 2,000

= $124.

Medicare amount:

= 1.45% x 2,000

= $29

Federal income tax:

= 260 / 2,000 x 100%

= 13%

State income tax:

= 120 / 2,000 x 100%

= 6%

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a) The infinite series in sigma notation is described by this expression:

[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex]     (1)

b) The explicit formula for the n-th partial sum is represented by the following expression:

[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex]     (2)

An infinite series is monotonous when it is bounded, that is, when the limit of the infinite series exists. In this case, we have an evidence of monotony in the denominators of the terms of the given series. In two consecutive terms, the latter always have a denominator greater than the former.

a) The series in sigma notation is now described below:

[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex]

b) The explicit formula for the n-th partial sum is defined by the expression within the sum, which is now presented below:

[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex]  

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Answer:

C.  -18

Step-by-step explanation:

Scalar Product (Dot Product) of two vectors

[tex]\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i[/tex]

[tex]\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}[/tex]

[tex]\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3[/tex]

Given:

⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)

⇒ v₁ · v₂ = 6 + (-24)

⇒ v₁ · v₂ = 6 - 24

⇒ v₁ · v₂ = -18

Since it's an arithmetic sequence,

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, up to

[tex]a_n = a_1 + (n-1)d[/tex]

Now, by substitution,

[tex]a_1 + a_3 + a_5 = -12[/tex]

[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]

[tex]3a_1 + 6d = -12[/tex]

[tex]a_1 + 2d = -4[/tex]

[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]

Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that

[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]

Solve for d :

[tex](4+2d) (4-2d) = -20[/tex]

[tex]16 - 4d^2 = -20[/tex]

[tex]4d^2 = 36[/tex]

[tex]d^2 = 9[/tex]

[tex]d = \pm3[/tex]

If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].

If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].

I'm pretty sure it's water bro

Answer:

6 sqrt 2 , 3pi / 4

Step-by-step explanation:

Find magnitude   sqrt ( (-6)^2 + 6^2 ) = sqrt (72) = 6 sqrt 2

Then the since the x and y are = magnitude and quadrant II

 it is   3 pi/4

6 sqrt (2) , 3pi/ 4

#1

As this is a scatter plot so we have to draw a suitable line then have to find the equation of line inorder to fulfill our requirements.

#2

Put temperature as 21(x)

#3

0 is the y intercept or the initial amount of sales

It's denoting to the fact that there were initially 0 boxes

Answer:

x = -2

Step-by-step explanation:

[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]

hope this helped!!

Answer:

x = -2

Step-by-step explanation:

Divide both sides by 5 :

Add 4 to both sides :

Divide both sides by 4 :

Answer:

D) He has a 67% chance of getting a 1, 3, 5, or 6.

Answer:

C. -2(9 + 32n)

Step-by-step explanation:

-2(9 + 32n)

= -2*9 - 2*32n

= (-18) - 64n.

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

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

Condition 1

[tex]\sf \rightarrow x + 7 + \dfrac{y}{6} = 29[/tex]

[tex]\rightarrow \sf x=-\dfrac{y}{6}+22[/tex]

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

Condition 2

[tex]\rightarrow \sf 2y - (x - 5) = 9[/tex]

[tex]\rightarrow \sf x = 2y -4[/tex]

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

Substitute equations

[tex]\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4[/tex]

[tex]\rightarrow \sf y=12[/tex]

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

Find value of 1st number

[tex]\rightarrow \sf x = 2y - 4[/tex]

[tex]\sf \rightarrow x = 2(12) - 4[/tex]

[tex]\rightarrow \sf x = 20[/tex]

Answer:

y ≤ 4

Step-by-step explanation:

Solving :

Answer: 10 teams is the answers

Step-by-step explanation:

when you are on that level of math that you get this type of question - this is totally easy.

we get the extreme point(s) of a function by finding the zeros of the first derivative of the function.

f'(x) = 4x - 8

so,

0 = 4x - 8

8 = 4x

x = 2

to determine whether it is a minimum or a maximum, we have 2 choices :

the quick way for a quadratic (parabola) equation by looking at the factor of x² : is it >0, then the parabola opens up upwards, and the extreme point is therefore a minimum. if it is <0, then it opens downward, and the extreme point is a maximum.

in our case : 2 is larger than 0, therefore minimum.

or the formal way for any type of function : create the second derivative and see, if it is >0 (minimum) or <0 (maximum) for the extreme x.

in our case

f''(x) = 4

this is larger than 0 for all x, so the extreme point is a minimum.

Answer:

20

Step-by-step explanation:

using the given formula:

V = 1/3(Base Area)(height)

V = 1/3 (5)(12)

V = 1/3 (60)

V = 20

Answer:

20

Step-by-step explanation:

V = 1/3Bh

V = 1/3 x 5 x 12

V = 4 x 5

V = 20 cubic feet

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

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Answer:

Question 1:

Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.

Question 4:

The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.

Step-by-step explanation:

Question 1:

Question 4: