What is the reciprocal of 8 5/6​

Answer:

33 units³

Step-by-step explanation:

Volume of a rectangular prism

\(\sf Volume = Area\:of\:base \times height\)

From inspection of the given diagram:

Substitute the given values into the formula and solve for volume:

\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)

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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)

\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)

\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)

\(\\ \tt\dashrightarrow Volume=3(11)\)

\(\\ \tt\dashrightarrow Volume=33units³\)

Answer: hope this helps

Let's call the interest rate i.

The formula for simple interest is: I = Prt, where P is the principal amount, r is the interest rate (expressed as a decimal), and t is the time in years.

Since Chris wants his investment to double in 20 years, we know that at the end of 20 years, the total amount in the account will be 2P = 9200*2 = 18400.

We can use the formula for simple interest to set up an equation:

I = Prt = 18400 - 9200 = 9200

Now we can solve for the interest rate:

r = I/Pt

r = 9200/ (9200*20)

r = 9200/18400

r = 0.5

The interest rate required for Chris's investment to double in value in 20 years is 0.5 or 50%. To express it as percentage and round it to the nearest tenth of a percent we can multiply by 100:

50% rounded to the nearest tenth is 50.0%

Step-by-step explanation:

Answer:

He had 534.45 more in credits that debits

Step-by-step explanation:

Ignatius hd $534.45 more in credits than in debits. Since Ignatius had an initial balance of $124.82 at the beginning of the month and ended the month with $659.27 he was up money versus what he had in his account at the beginning of the month. During the month Ignatius made money that was credited to his account so that he ended it with a higher balance. 

Answer:

over one to the right, up six

The reflection of the point (1,6) across the x-axis is (1,-6).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A figure's mirror image in the axis or plane of reflection is its image by reflection.

Given that the coordinate is (1,6). The reflection of the coordinates across the x-axis will be,

R(x₁ , y₁) ⇒ R(x₁,-y₁)

R(1,6) ⇒ R( 1,-6)

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The value of {h} is equivalent to 6/5.

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is the function as follows -

(1/5) + h = (7/5)

We can write the function as -

(1/5) + h = (7/5)

h = 7/5 - 1/5

h = (7 - 1)/5

h = 6/5

Therefore, the value of {h} is equivalent to 6/5.

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Answer: Choice C

9(51-12) = 9(51) - 9(12)

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

Explanation:

The distributive property is

a(b+c) = a*b + a*c

which can also be written as

a(b-c) = a*b + a*(-c) = a*b - a*c

In this case we're using

a(b-c) = a*b - a*c

where a = 9, b = 51, c = 12

The value of x is 27

Similar triangles are triangles that have the same shape, but their sizes may vary. The ratio of corresponding sides of Similar triangles are equal.

Also, the corresponding angles of similar triangles are equal.

39/65 = x/ 18+x

39( 18+x) = 65x

702+ 39x = 65x

collecting like terms

702 = 65x - 39x

702 = 26x

divide both sides by 26

x = 702/26

x = 27

Therefore the value of x is 27

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Answer:

See below.

Step-by-step explanation:

So we have:

\(5\times(2\times1)=(5\times 2)\times1\)

The only difference between them if the placement of the parentheses. However, their value remains the same.

This is an example of the associative property of multiplication.

The identity property of addition states that the sum of any number and zero will be the original number.

In other words, of any number n:

\(n+0=n\)

Note the word "sum." This means addition.

I hope this helps!

the probability of y1 being less than 1 is 1, regardless of the actual value of y1. P(y1 < 1) = 1

Since y1 and y2 are both uniformly distributed on the interval (0,1), this means that all possible values of y1 and y2 are equally likely. Therefore, the probability of y1 being less than 1 is 1, since any value of y1 between 0 and 1 has the same probability of occurring. This means that the probability of y1 being less than 1 is 1.

Since y1 and y2 are both uniformly distributed on the interval (0,1), this means that all possible values of y1 and y2 between 0 and 1 are equally likely to occur. This means that the probability of y1 being less than 1 is the same as the probability of y1 being equal to any value between 0 and 1. Since this probability is the same for all possible values of y1, the probability of y1 being less than 1 is 1, regardless of the actual value of y1. This is because any value of y1 between 0 and 1 has the same probability of occurring, meaning that the probability of y1 being less than 1 is 1.

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Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

I think it's D but I am not sure.

The expression that is equivalent to the given expression is 6a/b⁷

To simplify the expression, let's start by dealing with the exponent (a⁰b²)⁴. Any number raised to the power of 0 is always 1, so

=> a⁰ =1.

Therefore, the expression becomes

=> (1 * b²)⁴ = (b²)⁴.

Next, we apply the property of exponents, which states that when raising an exponent to another exponent, we multiply the exponents. In this case,

=> (b²)⁴ =b²ˣ⁴ = b⁸.

Now, the simplified expression becomes

=> 6ab / b⁸ = 6a/b⁷

Hence the correct option is (c)

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Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer: The value of x is 26
In the given quadrilateral, it is given that, two angles have measurements

And two have measurement

And sum of measurement of angles of a quadrilateral is 360 degree, that is

SO for the given quadrilateral, the value of x is 26 .

Step-by-step explanation:

Answer:

  x = 30

Step-by-step explanation:

You want the value of x given that adjacent angles in a parallelogram are (3x+30)° and (2x)°.

Adjacent angles in a parallelogram total 180°, so ...

  (3x +30)° +2x° = 180°

  5x +30 = 180 . . . . . . . . . divide by °, simplify

  x +6 = 36 . . . . . . . . . divide by 5

  x = 30 . . . . . . . . . subtract 6

The value of x is 30.

__

Additional comment

The angles are (3·30 +30)° = 120°, and 2·30° = 60°.

Answer:

A fancy way of saying "solutions" of the equation

Answer:

Step-by-step explanation:

Ratio of string and charms:

Solve by cross-multiplication

The fraction of all charms to number of used:

The tοtal payment οver the term οf the lοan, 44% is paid tοward the principal and 56% is paid tοward the interest.

Tο sοlve this prοblem, we need tο use the fοrmula fοr a fixed-rate mοrtgage payment:

\(P = (Pv \times r) / (1 - (1 + r)^{(-n))\)

Where:

Pv = present value οf the mοrtgage (in this case, $200,000)

r = mοnthly interest rate (APR divided by 12)

n = tοtal number οf payments (20 years × 12 mοnths per year = 240)

First, we need tο find the mοnthly interest rate:

r = 9% / 12 = 0.0075

Next, we can plug in the values and simplify the fοrmula:

\(P = (200,000\times 0.0075) / (1 - (1 + 0.0075)^{(-240))\)

P ≈ $1,734.84

Therefοre, the mοnthly payment οn the mοrtgage is apprοximately $1,734.84.

Tο determine the percentage οf the payment that gοes tοward principal and interest, we need tο lοοk at the amοrtizatiοn schedule fοr the mοrtgage. This will shοw hοw much οf each payment gοes tοward principal and interest οver time.

Using an οnline amοrtizatiοn calculatοr, we can see that οver the 20-year term οf the mοrtgage, apprοximately 44% οf the tοtal payments gο tοward principal and 56% gο tοward interest.

Therefοre, οf the tοtal payment οver the term οf the lοan, 44% is paid tοward the principal and 56% is paid tοward the interest.

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Answer: Less

Step-by-step explanation: Ok lets make them both have a common denominator. This is 36. So 1/4 is going to be 9/36 and 3/9 is going to be 12/36

Answer:

1/4 is less than 3/9.

Step-by-step explanation:

Take these fractions into decimal format.

1/4 = 0.25

3/9 = 0.33.

From this, 0.25 < 0.33

So, 1/4 < 3/9, or 1/4 is less than 3/9.

Answer:

We conclude that not more than 500 gallons of wastewater per hour, on average, is discharged into a neighboring lake.

Step-by-step explanation:

We are given that an industrial plant can discharge not more than 500 gallons of wastewater per hour, on average, into a neighboring lake.

Four one-hour periods are selected randomly over a period of one week. The following are observed:

1384, 683, 1534, 405

Let \(\mu\) = population average gallons of wastewater discharged per hour

So, Null Hypothesis, \(H_0\) : \(\mu \leq\) 500 gallons      {means that not more than 500 gallons of wastewater per hour, on the average, is discharged into a neighboring lake}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 500 gallons     {means that more than 500 gallons of wastewater per hour, on the average, is discharged into a neighboring lake}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                                T.S.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean = \(\frac{\sum X}{n}\) = 1001.5 gallons

             s = sample standard deviation = \(\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }\) = 543.79

             n = sample of periods = 4

So, the test statistics =  \(\frac{1001.5-500}{\frac{543.79}{\sqrt{4} } }\)  ~ \(t_3\)

                                    =  1.844

The value of t-test statistics is 1.844.

Since in the question we are not given with the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the t table gives a critical value of 2.353 at 3 degrees of freedom for the right-tailed test.

Since the value of our test statistics is less than the critical value of z as 1.844 < 2.353, so we have insufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that not more than 500 gallons of wastewater per hour, on average, is discharged into a neighboring lake.

Answer:

57,000

Step-by-step explanation:

The height of the cylinder is 11cm. Option C

The formula for the volume of a cylinder is expressed as;

V = πr²h

Given that the parameters are;

Now, substitute the values given from the diagram shown, we have;

99 × 3.14  = 3.14 × (3)² × h

find the value of the square

99 × 3.14 = 3.1 4 × 9 × h

multiply the values

99 × 3.14  = 28. 26h

Make 'h' subject

h = 11cm

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The option 2 is correct of given question ''All the powers have a value of 1 because the exponent is zero.''

An exponent is a mathematical notation that indicates the number of times a quantity is multiplied by itself. It is written as a superscript number to the right of the quantity being multiplied.

For example, in the expression 5³, 5 is the base and 3 is the exponent. This means that 5 is being multiplied by itself three times: 5 x 5 x 5, which equals 125.

The statement "All the powers have a value of 1 because the exponent is zero" describes what these four powers have in common.

When the exponent is zero, any number (except for 0) raised to the power of 0 equals 1. Therefore, 10⁰  = 1, (-2)⁰ = 1, and any non-zero number raised to the power of 0 equals 1.

There is no fractional value involved in this case, as raising a number to the power of zero does not involve any division.

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Complete question:

Answer:

Population and Sample

Step-by-step explanation:

The state of Mississippi is the population

The randomly selected resident is the sample

Population Belt Use: 60%

Population No-belt Use: 40%

Sample (selected resident's) Seat-belt Use = Y

Note: the question doesn't state or ask whether Y is positive (use of seat belt) or negative (no use of seat belt).

How does the standard deviation of X compare with the standard deviation of Y?

X is the population standard deviation of seat belt use from the mean value of seat belt use WHILE Y is the sample standard deviation of seat belt use from the mean value (of all persons in the sample) of seat belt use.

Answer:

impossible

Step-by-step explanation:

17 divided by 3 is a number with a remainder

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

(C)

Step-by-step explanation:

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Answer:

The margin of error is  \(E = 6.9 \)

The 95% confidence interval is  \( 26.5  <  \mu < 40.3 \)  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  \(\mu = 33.4 \ ng/ml\)

      The standard deviation is  \(\sigma = 19.6 \ ng/ml\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>  \(E = 1.96  *  \frac{19.6  }{\sqrt{31 } }\)

=>  \(E = 6.9 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=> \( 33.4  - 6.9 <  \mu < 33.4  +  6.9 \)

=> \( 26.5  <  \mu < 40.3 \)  

Given

u varies directly with the square of p.

To write an equation that expresses the following relationship.

Explanation:

It is given that,

u varies directly with the square of p.

That implies,

Then, for the constant of proportionality.

Hence, the equation is k=u/p^2.

Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.

In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:

c = 17/0.83 = $20.48.

In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:

c = 288/18 = $16.

16 < 20.48, hence the souvenir would be less expensive in Egypt.

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