According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A researcher believes the proportion of Americans over 65 using the Internet has changed since then. Determine the null and alternative hypotheses. Label which one is the claim. You must write the correct parameter, inequality/equality symbol and value to receive full credit.

Answer:

£1500

Step-by-step explanation:

If Dan starts out with £1200 and he gets 5% per year compound interest you would multiply 1200×0.05 and get 60, this is the amount of money that was collected with interest every year. Now you need to multiply 60×5 and get 300. With the total interest over 5 years we need to add the interest and the original amount which would be 1200+300=1500.

Answer:

-3 = D

Step-by-step explanation:

A really smart freind of mine says this is the answer.

Answer:

Volume of cylinder = 12,560 feet³

Step-by-step explanation:

Given:

Height of cylinder = 40 ft

Radius of cylinder = 10 ft

Find:

Can its volume be 10 ft ?

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(10)²(40)

Volume of cylinder = (3.14)(10)²(40)

Volume of cylinder = (3.14)(100)(40)

Volume of cylinder = 12,560 feet³

Volume of this cylinder never be 10 feet

Answer:gamma

Step-by-step explanation:alpha and beta can be stopped more easily

Answer:

a. x = 180 - (j + k)

b.

j + k = (5x - 2) + (2x - 2) = 7x - 4

l = x

x = 180 - (7x - 4)

x = 180 - 7x + 4

8x = 184

x = 184/8

x = 23

l = 23°

j = 5x - 2

j = 5 × 23 - 2

j = 115 - 2

j = 113°

k = 2x - 2

k = 2 × 23 - 2

k = 46 - 2

k = 44°

or k = 180 - (23 + 113) = 180 - 136 = 44°

Answer:

1. 11x + 11.  2. 3x - 4.

Step-by-step explanation:

sorry if im wrong

Answer:

x = -20/11

Step-by-step explanation:

and how -(11 x)/4 - 5 = 0

1/4 (7 x - 12) = 1/2 (9 x + 4)

hope this helps

Answer:

X = 11/20

Step-by-step explanation:

7/4x-3=2+9/2x

We move all terms to the left:

7/4x-3-(2+9/2x)=0

Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/4x-(9/2x+2)-3=0

We get rid of parentheses

7/4x-9/2x-2-3=0

We calculate fractions

14x/8x^2+(-36x)/8x^2-2-3=0

We add all the numbers together, and all the variables

14x/8x^2+(-36x)/8x^2-5=0

We multiply all the terms by the denominator

14x+(-36x)-5*8x^2=0

Wy multiply elements

-40x^2+14x+(-36x)=0

We get rid of parentheses

-40x^2+14x-36x=0

We add all the numbers together, and all the variables

-40x^2-22x=0

a = -40; b = -22; c = 0;

Δ = b2-4ac

Δ = -222-4·(-40)·0

Δ = 484

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=484−−−√=22

x1=−b−Δ√2a=−(−22)−222∗−40=0−80=0

x2=−b+Δ√2a=−(−22)+222∗−40=44−80=−11/20

Answer:

C. 70%

Step-by-step explanation:

35 / 50 = 70/100 = 70%

So she will be 70% accurate in the next shot.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

She has completed 4 problems

Step-by-step explanation:

Take the total number of problems and multiply by the percent completed

20 * 20%

20 * .20

4

She has completed 4 problems

Answer:

4

Step-by-step explanation:

Answer:

hjrkfkfkfof

Step-by-step explanation:

jfkfbfhrhrnrjdur rier

C=160 degrees because it is the same angle as the known angle, 160+160=320

leaving 40 degrees unknown,

2 angles left that are the same angle meaning that b=20 degrees

Answer: 9.

Step-by-step explanation:

6 large rooms which will add up to 18

9 small rooms which will also add up to 18 totaling the 36 guests.

The no. of small and large rooms in the hotel are 9 and 6 respectively.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Emily is blocking off several rooms in a hotel for guests coming to her wedding.

Let us assume that small rooms be x and large rooms to be y.

Emily booked a total of 15 rooms which is x + y = 15...(i).

which can accommodate 36 guests altogether which is 2x + 3y = 36...(ii)

Now if we multiply eqn(i) by 2 it'll be 2x + 2y = 30...(iii)

Now subtracting eqn(iii) from eqn(ii) we get y = 6.

substituting the value of y in eqn(iii) we get x = 9.

So, the number of small rooms is 9 and no. of large rooms is 6.

learn more about linear equations here :

https://brainly.com/question/13738061

#SPJ2

Question:

A particle moves along the x-axis so that its position at time t>0 is given by [tex]x(t)=\frac{t^2 -9}{3t^2 +8}[/tex]

Show that the velocity of the particle at time t is given by [tex]v(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Answer:

[tex]v(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Step-by-step explanation:

Given

[tex]x(t)=\frac{t^2 -9}{3t^2 +8}[/tex]

Required

Show that:

[tex]v(t) = \frac{70t}{(3t^2 +8)^2}[/tex]

To calculate v(t), we use:

[tex]v(t) = x'(t)[/tex]

So, we have:

[tex]x(t)=\frac{t^2 -9}{3t^2 +8}[/tex]

Apply quotient rule

[tex]x'(t) = \frac{vu' - uv'}{v^2}[/tex]

Where

[tex]u =t^2 - 9[/tex]

[tex]v=3t^2 + 8[/tex]

So:

[tex]u =t^2 - 9[/tex]

[tex]u' = 2t[/tex]

[tex]v=3t^2 + 8[/tex]

[tex]v' = 6t[/tex]

So, we have:

[tex]x'(t) = \frac{vu' - uv'}{v^2}[/tex]

[tex]x'(t) = \frac{(3t^2 + 8) * 2t - (t^2 - 9) * 6t}{(3t^2 + 8)^2}[/tex]

Expand the numerator

[tex]x'(t) = \frac{6t^3 + 16t - 6t^3 + 54t}{(3t^2 + 8)^2}[/tex]

Collect like terms

[tex]x'(t) = \frac{6t^3 - 6t^3+ 16t + 54t}{(3t^2 + 8)^2}[/tex]

[tex]x'(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Recall that:

[tex]v(t) = x'(t)[/tex]

[tex]v(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Proved

Answer:

C

Step-by-step explanation:

because d + Q = 19 is just counting the coins, not the monetary value

and .25q + .10d signs values per coin type.

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

Answer:

B. 44°

Step-by-step explanation:

Central angle = 3x + 10°

Inscribed angle = 2x - 17°

Now

Central angle = 2 * inscribed angle

( Central angle is double of the inscribed angle standing on same arc)

3x + 10° = 2 ( 2x - 17°)

3x + 10° = 4x - 34°

4x - 3x = 34 ° + 10°

x = 44°

Hope it will help :)❤

Answer:

$20.30  plus tax

Step-by-step explanation:

You multiply 28 x .30 and that is your discount.

Answer:

$20.30

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the definition of a logarithm,  log b ( x ) = y  ⟹  b y = x , to convert from the logarithmic form to the exponential form. 10^ 4 = x

The exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x

When you raise a number with an exponent, there comes a result.

Lets say you get [tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.

The given logarithmic equation is;

[tex]\log x = 4[/tex]

Since, log with base 10 is written as [tex]\log(x)[/tex] simply, therefore, we have:

[tex]\log_{10} x = 4[/tex]

Using the definition of logarithm, we get;

[tex]x = 10^4[/tex]

Equivalently, [tex]10^4 = x[/tex] (option B).

Thus, the exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x

Learn more about logarithm here:

https://brainly.com/question/20835449

Answer:

A

Step-by-step explanation:

I am to determine the future value of Thomas' deposit with annual compounding

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

840 x (1.075)^5 = 1205.93

I am to determine the future value of Sherill's deposit in 5 years using simple interest

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = amount deposited x time x interest rate

1250 x 0.069 x 5 = 431.25

Amount that would be in her account after 5 years = 1250 +  431.25 =  1681.25

Sheril's money is higher by - 1681.25 -  1205.93 = 475.32

Answer: 1

Step-by-step explanation:

Answer:

5 / 8

Step-by-step explanation:

Total possible outcomes = (1, 2, 3, 4, 5, 6, 7, 8)

Odd outcomes = (1, 3, 5, 7)

Outcomes > 7 = 8

Required outcomes = (1, 3, 5, 7, 8)

Number of required outcomes = 5

P(pointer stops on odd or number > 7) = required outcome / Total possible outcomes

P(pointer stops on odd or number > 7) :

= 5 / 8

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle (when centred at the origin):

[tex]x^2+y^2=r^2[/tex] where r is the radius of the circle

Plug in the point (0,3) to solve for the radius squared

[tex]0^2+3^2=r^2\\9=r^2[/tex]

Plug r² back into the original equation

[tex]x^2+y^2=9[/tex]

I hope this helps!

Answer:

[tex]m=-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{9-10}{6-4}[/tex]

Answer:

540

Step-by-step explanation:

area of trapezium is b×h

Answer:

540 Sq m

Step-by-step explanation:

Area of parallelogram EFGH

= base * height

= 30 * 18

= 540 Sq m

Answer:

Area:12.5663706            Circumference: 12.5663706

Step-by-step explanation:

Answer:

[tex]X=85.123m[/tex]

[tex]Y=184.88m[/tex]

Step-by-step explanation:

From the question we are told that:

Campfire Bearing from Colonel[tex]x=N 71 \textdegree E[/tex]

Distance b/w Colonel and Sarge [tex]Z=235feet[/tex]

Campfire Bearing from Sarge [tex]y=N 45 \textdegree E[/tex]  

Generally the angles x' and y' are solved

[tex]x'=90 \textdegree-71 \textdegree[/tex]

[tex]x'=19 \textdegree[/tex]

[tex]y'=90 \textdegree-45 \textdegree[/tex]

[tex]y'=45 \textdegree[/tex]

Generally the angle z' is  solved

Sum of angles of a triangle is 180

Therefore

[tex]z'=180 \textdegree-(19+45) \textdegree[/tex]

[tex]z'=116 \textdegree[/tex]

Generally the sine rule equation for for all distances is mathematically given by

[tex]\frac{Z}{sinz'}=\frac{X}{sinx'}=\frac{Y}{siny}[/tex]

Generally the the distance b/w the Colonel and the campfire X is mathematically given as

[tex]\frac{235}{sin116}=\frac{X}{sinx'}[/tex]

[tex]\frac{235}{sin116}=\frac{X}{sin19}[/tex]

[tex]X=85.123m[/tex]

Generally the the distance b/w Sarge and the campfire X is mathematically given as

[tex]\frac{235}{sin116}=\frac{Y}{siny}[/tex]

[tex]\frac{235}{sin116}=\frac{Y}{sin45}[/tex]

[tex]Y=184.88m[/tex]