Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?

What is the recursive rule?

Answer:

I don’t get it

Step-by-step explanation:

I think it is 5

its 54 also for some reason my comment keeps getting deleted for saying 54??

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \rm \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \rm  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

500 miles/ 25 = 20 x 0.50 = $10

He will save a total of $10

20-4 = $16

it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

D

Answer: 15

Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15  = 9 gamesSo prediction for whole season = 6+9 = 15 games.

Step-by-step explanation:

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Answer:

750

Step-by-step explanation:

I multiplied the hours she worked by the amount of payment per hour.

Answer:

$750

Step-by-step explanation:

Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:

[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]

From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:

[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]

Then evaluate 18.75 * 40 and therefore the solution is $750

For usage of formula:

P = RH for P = pay, H = hour and R = rate (pay per hour)

So if you use the formula, you’d still end up with P = 18.75*40 which is $750

it will be 3375 bacteria my ducky

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

Answer:

Explanation:

With every increase in side, there is an increase in dots

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

Option B has 4 sides and 4 dots.

Answer:

45

Step-by-step explanation:

Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.

Also given that:

Student tickets: $6

Non-Student tickets : $12

Parking : $9

Thus,

Non- Student tickets:$ 12 (Parents and grandmother are not students)

Parking: $9 ( Since they attend a soccer game they need somewhere to park)

Parents = 2 person (Mom and Dad)

Grandmother = 1 person

1 + 2 = 3

Now,

Since Non-student tickets = $12

3 * 12 +9

36 + 9

45

Hence, the family spend $45 to attend the game.

~lenvy~

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Answer:

8

Step-by-step explanation:

We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]

[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]

[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

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Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

Answer:

Positive

Step-by-step explanation:

The graph goes up (puff puff positive)

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

Answer:

Both answer is C

Step-by-step explanation:

30:20

3:2

Thus, (24/3)×2

=16 inch

Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

From the dots the parabola’s are the same size just transitioned to different locations.

blue = y = x^2 + 3

Green = y = (x-4)^2

Orange = y = x^2 - 3

Purple = y = (x+4)^2