URGENT!!!!!!
Identify the sequence graphed below and the average rate of change from n = 0 to n = 3 . (2, 10) (3, 5) (4, 2.5) (5, 1.25)

A) a_n=8(1/2)^(n-2); average rate of change is -3

B) a_n=10(1/2)^(n-2); average rate of change is -(35/3)

C) a_n=8(1/2); average rate of change is 3

D) a_n=10(1/2)^(n-2); average rate of change is 35/3

Answer:

6.09

Step-by-step explanation:

in ADB

[tex]a ^{2} + b^{2} = c ^{2} [/tex]

to get hypotenuse=8.96

this is height of ABC so use tan

[tex] tan(55.8)= 8.96 \x[/tex]

x=6.09

Answer:

D

Step-by-step explanation:

To find x, we first to to find the line between A&B.

Use the pythagoram theorem to do this A^2+B^2=C^2

4.9^2+7.5^2=C^2

80.26=C^2

square root each side

Side AtoB=8.958

We now know the side length of the opposite and adjacent for the angle C. So according to SohCahToa we need to use Tangent.

So Tan(55.8)=(8.958/x)

We you solve for x, the answer is 6.088

Answer:

25,217,091

Step-by-step explanation:

4551 * 5541 = 25,217,091

Answer:

4551*5541=25217091

Step-by-step explanation:

Answer: C

I just took the test

Answer:

[tex]\boxed{87.5\%}[/tex]

Step-by-step explanation:

Convert fraction to a decimal.

[tex]\frac{7}{8} =0.875[/tex]

Multiply the decimal by 100.

[tex]0.875 \times 100= 87.5[/tex]

Answer:

87.5%

Step-by-step explanation:

100 divided by 8 = 12.5

We know that one eighth of 100 is 12.5. Now we multiply an eighth by 7 to get seven-eighths (7/8)

12.5 * 7 = 87.5

So 7/8 as a percent is 87.5%

Have a good day :)

Answer:

The value of the exponent of the base 10 for this product is -2.

Step-by-step explanation:

[tex]5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}[/tex]

Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):

[tex]\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}[/tex]

Answer:

-2

Step-by-step explanation:

1. Write the expression:       (5.86 × 10–7)(3.1 × 104)

2. Rearrange the expression:     (5.86 × 3.1)(10–7 ∙ 104)

3. Multiply the coefficients:      (18.166)(10–7 ∙ 104)

4. Apply the product of powers:    18.166 × 10-3

5. Write in scientific notation:     1.8166 × 10n

do all this get negitive two

Answer:

Your correct answer is -b/2a

Step-by-step explanation:

What you need to do is  find the coordinates of the vertex from the equation itself, using this formula: x = -b/2a

Answer: B

Step-by-step explanation:

Answer:

(1,4)

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3

a. (1,4) b. (-1,-4) c. both d. neither

Solution

y=7x-3

Solve by trying each ordered pair

a. (1,4)

x=1, y=4

Substituting the value of x and y into the equation

y=7x-3

4=7(1)-3

4=7-3

4=4

This is a true statement

b. (-1,-4)

x=-1, y=-4

Substitute the value into the equation

y=7x-3

-4=7(-1)-3

-4= -7-3

-4= -11

This is not a true statement

This true statement is when x=1 and y=4

So, the ordered pair (1, 4) is the solution

Answer:

3

1/5

3/4

3/4

Step-by-step explanation:

Coefficient is a number that is always written in front of a term.

3xy^3=3

xy/5=1/5

3/4xy=3/4

3/4x^2y=3/4

Hope this helps ;) ❤❤❤

Answer:

g(x) = $16.49x + $10.50

$208.38

Step-by-step explanation:

Given the following:

Cost per bag = $16.49

Shipping and handling fee = $10.50

Number of bags ordered = x

If g(x) = total cost of bags

Bag cost = cost per bag × number of bags ordered

Bag Cost = $16.49 * x = $16.49x

Shipping and handling fee = $10.50

Total cost of bags = Bag cost + shipping and handling fee

g(x) = $16.49x + $10.50

Where x is the number of bags ordered.

Therefore, total cost of 12 bags equals ;

g(12) = $16.49(12) + $10.50

g(12) = $197.88 + $10.50

g(12) = $208.38

Answer:

g(x)=16.49x+10.50

$208.38

Step-by-step explanation:

let the cost of x bags = g(x)

cost of one bag = $16.49

cost of x bags = $16.49x

shipping and handling charges = $10.50

total cost of x bags = 16.49x + 10.50

g(x) = 16.49x + 10.50

To determine the cost of 12 bags, substitute x with 12 and simplify:

g(12) = 16.49(12) + 10.50

= 208.38

Answer:

the ansewr is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.

Let's solve:

[tex]1000110[/tex]

[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]

[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]

[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]

[tex] = 70[/tex]₁₀

Hope I helped!

Best regards!!

Answer:

4x-2

Step-by-step explanation:

4x(3x+5)-2(3x+5)

(4x-2)(3x+5)

you can see that 4x-2 is a factor

Answer:

[tex]7\sqrt{2}[/tex]

Step-by-step explanation:

Use trigonometry.

sin 45 degrees = x/14

plug in values and you get x = [tex]7\sqrt{2}[/tex]

Answer:

72

Step-by-step explanation:

Answer:

a]2.3 hrs

b]3.6hrs

Step-by-step explanation:

4hrs = 12 miles

x       =  7miles

4 x 7=28/12=2.3

4 x 11=44/12=3.6hrs

Answer:

Below in bold.

Step-by-step explanation:

His rate of walking =  12/4 = 3 miles per hour.

So the times for 7 and  11 miles are

(a)  7/3 = 2 1/3 hours.

(b) 11/3 = 3 2/3 hours.

Answer:

1,000

Step-by-step explanation:

1,000,000 x 1,000 = 1,000,000,000

1,000,000,000 has 4 more zeros than   1,000,000 and 1,000 has 4 zeros so there 1000 is  the answer.

Answer:

He deposited 16 $5 bills.

Step-by-step explanation:

State your variables

let x be the number of $1 bills

let y be the number of $5 bills

Create a system of equations

x + 5y = 200       (eq'n 1 -- for amount of money)

x + y = 136           (eq'n 2 -- for number of bills)

Solve the system for y

I will solve using substitution.  Rearrange eq'n 2 to isolate variable x.

x + y = 136

x = 136 - y           (eq'n 3)

Substitute eq'n 3 into eq'n 1.

x + 5y = 200

136 - y + 5y = 200

136 + 4y = 200

4y = 64

y = 16

Solve for x to check answer

Substitute y = 16 into eq'n 2.

x + y = 136

x + 16 = 136

x = 120

Substitute x = 120 into eq'n 1.

x + 5y = 200

120 + 5(16) = 200

120 + 80 = 200

200 = 200

LS = RS          Both sides are equal, so the solution is correct.

Therefore, Jack deposited 16 five dollar bills.

Answer: radius = 6.5millimeters; Area = 132.7m²

Step-by-step explanation:

The circumference of a circle = 2πr

The area of a circle = πr²

The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:

Circumference = 2πr

40.8 = 2 × 3.14 × r

40.8 = 6.28r

r = 40.8/6.28

r = 6.5

Radius is 6.5 millimeters

Area = πr²

Area = 3.14 × 6.5 × 6.5

Area = 132.7m²

Answer:

your answer is incorrect.  The correct answer is  [tex]h=-13[/tex]  and [tex]k=13[/tex] .

Step-by-step explanation:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex] and a>0, then minimum value of the function at point [tex]\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex].

The given function is

[tex]f(x)=x^2+bx+182[/tex]

Here, a=1, b=b and c=182. So.

[tex]-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}[/tex]

Put [tex]x=-\dfrac{b}{2}[/tex] in the given function to find the minimum value of the function.

[tex]f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182[/tex]

We know that minimum value is 13. So,

[tex]13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182[/tex]

[tex]13-182=-\dfrac{b^2}{4}[/tex]

[tex]-169=-\dfrac{b^2}{4}[/tex]

[tex]169\times 4=b^2[/tex]

Taking square root on both sides.

[tex]13\times 2=b[/tex]

[tex]b=26[/tex]

The value of b is 26.

So, the given function is  

[tex]f(x)=x^2+26x+182[/tex]

Now, add and subtract square of half of coefficient of x.

[tex]f(x)=x^2+26x+182+(13)^2-(13)^2[/tex]

[tex]f(x)=(x^2+2(13)x+(13)^2)+182-169[/tex]

[tex]f(x)=(x+13)^2+13[/tex]

On comparing with [tex]f(x)=(x-h)^2+k[/tex], we get

[tex]h=-13[/tex]

[tex]k=13[/tex]

Therefore, your answer is incorrect.

Answer: 60 degrees

Step-by-step explanation:

This triangle is a 30-60-90 right triangle because the hypotenuse is double the shortest side.  Because this is a 30-60-90 right triangle, Angle C, which opens up to the x√3 side, is 60 degrees.

Hope it helps <3

Answer:

angle C=60 degrees

Step-by-step explanation:

cos C=adj/hyp

cos C=√11/2√11

cos C=1/2 ( convert to degrees)

angle C=60 degrees

Answer: (upside down fancy u) q5

Step-by-step explanation:

Simply apply the law of conservative (upside down fancy u)

Answer:

9 students have pets

Step-by-step explanation:

From the above question, we are given the following information

Total number of students = 30

Let Pet Dog = D

Pet Cat = C

Pet Fish = F

Number is students that have pet dog

(D) = 10 students

Number of students that have pet cat (C) = 13 students

Number of students that have pet fish (F) = 7 students

Number of students that have Pet dog and cat ( D and C) = 4 students

Number of students that have Pet cat and fish (C and F) = 6 students

Number of student that has pet dog and pet fish (D and F) = 2 students

1 student has all three = ( D and F and C)

Number of student that have a pet Dog only

= n(D) - [n( D and C) + n( D and F) - n(D and C and F)]

= 10 -( 4+ 2 -1)

= 10 - 5

= 5

Number of student that have Pet cat only

= n(C) -[ n( D and C) + n( C and F) - n( D and C and F)]

= 13 -( 4 + 6 - 1)

= 13 - 9

= 4

Number is student that have a pet fish only

= n(F) - [n (C and F) + n( D and F) - n( D and C and F)]

= 7 - [6 + 2 - 1]

= 7 - 7

= 0

The number of students that have pets is calculated as:

(Number of students that have dogs only + Number of student that have cats only + Number of students that have fish only)

= 5 + 4 + 0

= 9

Therefore only 9 students have pets.

Answer:

The answer is

Step-by-step explanation:

If 2cm is 8 feet on the drawing then since 4 is the double of 8,

16 would be the width

8·2=16

For the length, 4 is two less than 6 so, to find the width,

Add 16+2=18

Therefore,

The answer is C.

Length=18 Width=16

Answer:

Length = 24 ft, width = 16 ft

Step-by-step explanation:

The scale is 2 cm (drawing) = 8 ft (real).

The drawing length is 6 cm.

6 cm is 3 times 2 cm

Multiply both sides of the scale by 3.

3 * 2 cm = 3 * 8 ft

6 cm = 24 ft

The real length is 24 ft.

The drawing width is 4 cm.

4 cm is 2 times 2 cm

Multiply both sides of the scale by 2.

2 * 2 cm = 2 * 8 ft

4 cm = 16 ft

The real width is 16 ft.

Answer:

Length = 24 ft, width = 16 ft

Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)

Step-by-step explanation:

Hi, to answer this question we have to solve the inequality for x:

7 - 5x > 3x + 31

7-31 > 3x +5x

-24 > 8x

-24/8 > x

-3 > x

x < -3

So, the correct option is:

B. (all numbers less than or equal to -3 will satisfy the inequality)

Feel free to ask for more if needed or if you did not understand something.

Answer:

k=4

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

-2 = (k-2)/(-4 - -3)

-2 = (k-2)/(-4+3)

-2 = (k-2)/ ( -1)

Multiply by -1

-2 * -1 =  (k-2)/ ( -1) * -1

2 = k-2

Add 2 to each side

2+2 = k-2+2

4 =k

Answer:

9 and 23

Step-by-step explanation:

Let x be smaller length in inches.

x+3x-4=32

4x=36

x=9

9*3-4=23

So they're 9 and 23 inches long.

The lengths of the two parts of the pipe are 9 and 23 inches long.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let x be the smaller length in inches.

x + 3x - 4 = 32

4x = 36

x  =9

Now substitute;

9*3 - 4 = 23

Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

Account 1 has the highest effective annual interest rate (0.042666142)

Step-by-step explanation:

Hi, to answer this question we have to apply the Effective Annual Interest Rate formula:  

EAIR = [(1+r/n)^n ]-1

Where:

r = nominal interest rate

n = number of periods

If interest is compounded annually, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12

SO:

Account 1: Interest is compounded quarterly at an annual rate of 4.20%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.20/100)/4)^4 ]-1 = 0.042666142

Account 2: Interest is compounded monthly at an annual rate of 4.15%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.15/100)/12)^12 ]-1 =0.042298535

Account 3: Interest is compounded semiannually at an annual rate of 4.10%

EAIR = [(1+r/n)^n ]-1 = [(1+(4.10/100)/2)^2]-1 = 0.04142025

Account 4: Interest is compounded annually at a rate of 4.25%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.25/100)/1)^1 ]-1 = 0.0425

Since:

0.042666142 (1) < 0.0425 (4) < 0.042298535(2) <0.041420258(3)

Account 1 has the highest effective annual interest rate 0.042666142

Answer:

∆ABC=∆DBC

Step-by-step explanation:

The angle of ABC, which is 90° is the same as the angle DBC which is also 90°

Answer:

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( [tex]\frac{x-\mu }{\sigma}[/tex]  > [tex]\frac{2.3-\mu }{\sigma}[/tex] )

P (z  > [tex]\frac{2.3-1.9 }{0.3}[/tex]  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( [tex]\frac{x-\mu }{\sigma }[/tex] <  [tex]\frac{a-\mu }{\sigma }[/tex] )

[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.