The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.6 sine (3520 pi t). What is the frequency of the tuning fork?

Answer:

$18

Step-by-step explanation:

Buying the jeans for $27 leaves you with ($60 - $27), or $33.

Buying the shirt for s dollar leaves you with $15.  To find s, the price of the shirt, you subtract $15 from $33:  $18.

The shirt cost you $18.

Answer:

(f * g)(x) has a final product of 16x² + 8x.

Step-by-step explanation:

When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.

f(x)=8x

g(x)=2x+1

Now, we multiply these terms together.

(8x)(2x + 1)

Use the foil method to multiply.

16x² + 8x

So, the product of these terms is 16x² + 8x.

Step-by-step explanation:

Sample proportion [tex]\hat{p} = 260/380 = 0.684[/tex]

90% confidence interval for p is

[tex]\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)[/tex]

[tex]0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)[/tex]

0.645 < p < 0.723

Interpretation - We estimate with 90% confidence that the true population proportion of people who plan  on voting yes on the levy between 0.645 and 0.723.

Answer:

Step-by-step explanation:

hello,

I assume that you mean

[tex]h(x)=\dfrac{12}{x-1}[/tex]

so first of all let's take x real different from 1 , as this is not allowed to divide by 0

[tex](hoh^{-1})(x)=x=h(h^{-1}(x))=\dfrac{12}{h^{-1}(x)-1} \ \ \ so\\h^{-1}(x)-1=\dfrac{12}{x} \\\\h^{-1}(x)=1+\dfrac{12}{x}[/tex]

and this is defined for x real different from 0

hope this helps

Answer:

0.230

Step-by-step explanation:

Given

Estimate = 72%

Number of citizens = 14

Required

Find the probability that exactly 10 of the citizens will be in favor

This question can be solved using binomial expansion of probability which states;

[tex](p + q)^n = ^nC_0 .\ p^n.\ q^{0} + ....+ ^nC_r .\ p^r.\ q^{n-r}+ .. +^nC_n .\ p^0.\ q^{n}[/tex]

Where p and q are the probabilities of those in favor and against of building a health center;

n is the selected sample and r is the sample in favor

So; from the above analysis

[tex]n = 14[/tex]

[tex]r = 10[/tex]

[tex]p = 72\% = 0.72[/tex]

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.72[/tex]

[tex]q = 0.28[/tex]

Since, we're solving for the probability that exactly 10 citizens will be in favor;

we'll make use of

Substituting these values in the formula above

[tex]Probability = ^nC_r .\ p^r.\ q^{n-r}[/tex]

[tex]Probability = ^{14}C_{10} .\ 0.72^{10}.\ 0.28^{14-10}[/tex]

[tex]^{14}C_{10} = 1001[/tex]

So, the expression becomes

[tex]Probability =1001 * \ 0.72^{10}.\ 0.28^{14-10}[/tex]

[tex]Probability =1001 * \ 0.72^{10}.\ 0.28^4[/tex]

[tex]Probability =1001 * 0.03743906242 * 0.00614656[/tex]

[tex]Probability =0.23035156495[/tex]

[tex]Probability =0.230[/tex] ----Approximated

Hence, the probability that exact;y 10 will favor the building of the health center is 0.230

Answer:

  f(4) = g(4) and f(0) = g(0)

Step-by-step explanation:

In order for f(x) = g(x), the value of x must be the same in both functions:

  f(4) = g(4) . . . corresponds to x=4

  f(0) = g(0) . . . corresponds to x=0

The graph is not shown here, so we cannot say if these are the appropriate solutions. We can only say that the other choices are not.

f(x) = g(x) if ...

  f(4) = g(4) and f(0) = g(0)

__

Something like f(0) = g(4) is useless for finding solutions to f(x) = g(x).

Answer:

A) 90

B) The individuals in the survey will be 11, 101, 191,...., 2621.

Step-by-step explanation:

Tenemos lo siguiente a partir del enuciado:

A) let, a consider a department has an alphabetical list of all 2708 employees at company and wants to conduct a systematic sample. Substitute the value as:

k = N/n

reemplanzado nos queda:

k = 2708/30 = 90.26

Lo que quiere decir que el valor de k es de aproximadamente 90 B) Randomly select the number between I and 90, Suppose the randomly selected sumber is 11. The individuals in the survey will be; need to find 30th team, hence by using the airthmetic perogression nth term formula:

30th term = 11+ (30 - 1) *90

30th term = 2621

The individuals in the survey will be 11, 101, 191,...., 2621.

The random sample is obtained

Answer:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

Step-by-step explanation:

Given the sequence:

We can easily calculate the difference of terms:

As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)

This sequence can be defined In the form of function as:

All the above matches the first answer choice:

Answer:

$1.08

Step-by-step explanation:

30 days × (2 hrs/day) × (150 W) × (1 kW / 1000 W) × (0.12 $/kWh) = $1.08

Answer: c = 10

Step-by-step explanation:

Pythagorean Theorem states that in a right triangle [tex]a^2 + b^2 = c^2[/tex], where a and b  are the legs of the triangle and c is the hypotenuse.  Thus, because a=6 and b=8, 36+64=c².  Thus 100=c².  Thus 10=c

Answ

Step-by-step explanation:

soln,

total number of students =775

present students=124

now,

let the % of students who have flu be x%

here,

x% of 775 is 124

x/100*775=124

775x=12400

x=12400/775

x=16%

So, the% of students is 16%.

There are 775 students in the school and the percentage of students who have flu is 16%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Given that the total number of students = 775

The number of students present  = 124

Let the percentage of students who have flu be x %

As per the given data, the solution would be as:

⇒ x% of 775 = 124

x%  is expressed as x/100 in fractional form

⇒ (x/100)(775) = 124

⇒ 775x=12400

⇒ x = 12400/775

⇒ x = 16%

Therefore, the percentage of students who have flu is 16%.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ5

Answer:

0.05 inches per minute

Step-by-step explanation:

The formula for speed is [tex]Speed=\frac{Distance}{Time}[/tex]

The given distance is 6 inches and the time is 120 minutes. Plug in the components into the formula to solve for speed and reduce:

[tex]Speed=\frac{6}{120}[/tex]

[tex]Speed=\frac{1}{20}[/tex]

1/20 in decimal form is 0.05

Answer: y=x+1

Step-by-step explanation:

y+1=1(x+2)

y+1=x+2

y=x+1

Hope this helps:)

Answer:

50 deg

Step-by-step explanation:

In an right triangle, the acute angles are complementary. That means their measures have a sum of 90 deg.

m<C + m<B = 90

7x - 20 + 4x = 90

11x = 110

x = 10

m<ACB= 7x - 20

m<ACB = 7(10) - 20

m<ACB = 70 - 20

m<ACB = 50

Answer: m<ACB = 50 deg

Answer:show the table so I can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope it helps.

Answer:

Answer:

The correct answer option is: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Answer:

y-int = C/B

Step-by-step explanation:

Ax + By = C

y-int = C/B

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

step 1

Step-by-step explanation:

when you say three less than the quotient

you put the quotient first and then subtract 3

Answer: Step 1

Step-by-step explanation: I took it on my quiz and got an 100

Answer:

56%

Step-by-step explanation:

We have a grid with 10 columns and 10 rows making 100 equal sized squares, they tell us that 5 rows are unshaded. Therefore half is unshaded, like so:

5 rows = 50 squares

They also tell us that the sixth row has 6 squares unshaded, which means that in total they would be:

 50 + 6 = 56 squares

Knowing that the total is 100, the percentage would be:

56/100 = 0.56, that is, 56% are unshaded

Answer:

The correct option is (B).

Step-by-step explanation:

The median (m) is a measure of central tendency. To obtain the median, we assemble the data in arising order. If the data is odd, the median is the mid-value. If the data is even, the median is the arithmetic-mean of the two mid-values.

The mean of a data set is:

[tex]\bar X=\frac{1}{n}\sum\limits^{n}_{x=0}{X}[/tex]

For the three kittens it is provided that the weights are in the range 147 g to 159 g.

So, the mean and median weight for the 3 kittens lies in the middle of this range.

Now a fourth kitten is born, with weight 57 g.

Now the range of the weight of 4 kittens is, 57 g to 159 g.

The mean is going to decrease as one more value is added to the data and the value is the least.

The median will also decrease because now the median will be mean of the 2nd and 3rd values.

But the mean would decrease more than the median because a smaller value is added to the data.

Thus, the correct option is (B).

Answer:

the boat is going at 3.5 mph and the current is going at .5 mph

Step-by-step explanation:

Answer:

4,2,1 and 1/2

Step-by-step explanation:

The first term is 4 since A(1)=4

● A(2) = (1/2)*A(1) = (1/2)*4 = 2

So the second term is 2

● A(3) = (1/2)*A(2) = (1/2)*2= 1

The third term is 1

●A(4) = (1/2)*A(3) = (1/2) *1 = 1

Answer:

The difference of the functions is (f-g)(x) = 3x - 3

Step-by-step explanation:

In the problem, we are asked to find the difference of the two functions, f(x) and g(x). When we see (f-g)(x), this means that we are going to subtract g(x) from f(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f-g)(x) = (5x - 2) - (2x + 1)

Distribute the negative to (2x + 1)

(f-g)(x) = 5x - 2 - 2x - 1

Combine like terms. Make sure your answer is in standard form.

(f-g)(x) = 3x - 3

So, the answer to the equation is (f-g)(x) = 3x - 3

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

[tex]a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}[/tex]

So, the explicit formula is for n

[tex]\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The explicit rule is aₙ = a₀(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio.

We have been given that geometric sequence as:

600, 300, 150, 75, ...

To determine the explicit rule for the geometric sequence, we have to find the common ratio.

Here the first term (a₀) is 600

So the common ratio = 300/600 = 150/300 = 75/150 = 1/2

Thus, the explicit formula for n would be:

aₙ = a(1/2)ⁿ = 600(1/2)ⁿ

Therefore, the explicit rule is aₙ = a(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.

Learn more about the geometric series here:

brainly.com/question/21087466

#SPJ2

Answer:

data bar

Step-by-step explanation:

Answer:

chart

Step-by-step explanation:

Answer: D, 28 bottles.

Step-by-step explanation:

This can be translated to:

26.5 liters of water and 8.25 liters of orange juice are mixed together. All that mixture  is bottled in bottles of  1.25 liters. How many bottles are needed  to fill all the orange juice mixture?

the total mass of mixture that we have is:

26.5 L + 8.25 L = 34.75 L.

if we want to divide it into groups of 1.25 L, we have:

N = 34.75/1.25 = 27.8

So we have 27.8 groups of 1.25L this means that we need 27.8 bottles.

But we can not have a 0.8 of a bottle, so we must round it up to 28 bottles.

Then the correct option is D:

Answer:

Step-by-step explanation:

1l ........8.5 miles

x l .......6 miles

-----------------------

x=6*1/8.5

x=0.70 l

2*0.7=1.4 l petrol/day ( to work and come back home)

5*1.4=7 l/week ( 5 days works in a week)

7*1.26=8.82 L /week

8.82>8.5

The petrol costs more

So the answer is NO