Enter a phrase for the expression. 49s

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

The question is not complete

Answer:

3y-130

Step-by-step explanation:

hope this was helpful! c:

Answer:

3y-130 hope this helps

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

to change a fraction to a percentage multiply by 100% , that is

\(\frac{20}{50}\) × 100% = 0.4 × 100% = 40%

Answer:

40%

Step-by-step explanation:

Answer:

The purpose of solving this problem is to determine what 9% of 891 is. One common real life problem where a solution like this may be helpful include calculating how much tip to leave at a restaurant. Solving this problem requires two simple math operations that you can perform on any calculator. The first step is a division and the second step is a multiplication. Here's a cool tip though, you can actually reverse the order of these operations and the result will be the same! Here are the steps:

Step 1: Divide 891 by 100

In this case, the number that we are "comparing" to 100 is 891, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:

891

100

=

891

÷

100

=

8.91

Step 2: Multiply 8.91 by 9 to get the solution

Now that we have our normalized number, 8.91, we just have to multiply it by 9 to get our final answer. The forumla for this is obviously quite simple:

8.91

×

9

=

80.19

That's all there is to it! Note that you can replace these values with new ones from any similar problem.

Step-by-step explanation:

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

502,400

Umarım yardım etmişimdir!

Answer:

6 tbsp and 2 tsp

Step-by-step explanation:

Hope this helps!

Subtract m + ? from m:

11-7 = 4

12-8 - 4

16-12 = 4

21-17 - 4

All the differences are identical, so the rule is to add 4 to m.

The expression would be m + 4

Answer:

c=8x+b

Step-by-step explanation:

Basically the 1 in b cancels out and you get c=8x+b

The expression of the given logarithmic function 2log(2/√5) is; D: -0.097

From logarithmic Identities, we know that;

log (x/y) = log x - log y

log (x * y) = log x + log y

Thus;

2log(2/√5) = 2[log 2 - log √5)

Now, log √5 can also be expressed as;

log √5 = ¹/₂log 5

Thus;

2log(2/√5) = 2[log 2 - ¹/₂log 5]

⇒ 2 log 2 - log 5

We are given the values;

log2≈0.301, log3≈0.447, log4≈0.602, log5≈0.699

Thus;

2log(2/√5) = 2 log 2 - log 5 = 2(0.301) - 0.699

⇒ -0.097

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In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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The person who gets to say the last number, 1000, will be Person 6.

Here, we have,

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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complete question:

10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number

Answer:

0.197058823529411764 is the answer of 34 divided 6.70

Answer:

B

Step-by-step explanation:

An expression for the area of △KNM is = 1/2 x 2b x a

Given,

In the question:

In triangle KNM ;

The length of the base (MK) = 2b

and, height of the triangle is= a

To write an expression  for the area of △KNM .

Now, According to the question:

We know that :

Area of triangle is = 1/2 x base x height

The length of the base (MK) = 2b

and, height of the triangle is= a

Plug all the values in the area of triangle :

Here, Area of triangle is = 1/2 x 2b x a

Hence, An expression for the area of △KNM is = 1/2 x 2b x a.

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Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

The required average mark for a one-hour exam is given as 81, as per the given condition.  

The average of the values is the ratio of the total sum of values to the number of values.

To find the student's grade, we need to calculate the average of all the exams. The total number of 1-hour exams is 4 + 2 = 6, so the total number of hours of exams is 6 * 1 hour = 6 hours.

First, we find the average of the four 1-hour exams: (63 + 78 + 95 + 90) ÷ 4 = 316 ÷ 4 = 79.

Next, we add the final exam grade, which counts as two 1-hour exams, to find the total number of exam points: 79 * 4 + 85 * 2 = 316 + 170 = 486.

Finally, we divide the total number of points by the total number of hours of exams to find the average exam grade: 486 ÷ 6 = 81.

So, the student's average exam grade is 81.

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If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

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The total price of the vehicle would be $18,192.88.

The total deferred price of the car would be $11,191.60.

The length of the financing agreement is 68 months .

The total deferred price after the payments was $19,601.84.

The monthly payments would be $516.92.

Subtotal = Base price + Options + Destination charges

Subtotal = $14,500 + $982 + $592 = $16,074

Dealer preparation = 5% of subtotal

Dealer preparation = 0.05 x $16,074 = $803.70

Sales tax = 7% of subtotal

Sales tax = 0.07 x $16,074 = $1,125.18

Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee

Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88

Tax = 8% of selling price = 0.08 x $8,850 = $708

Tag fee = $130

Title fee = $35

Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223

Annual interest rate = 9.5%

Number of years financed = 3

Total finance charges = $8,223 x 0.095 x 3 = $2,341.595

Total financed amount = $8,223 + $2,341.595 = $10,564.595

Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615

Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595

Total deferred price = $28,000

Down payment = $2,100

Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900

Monthly payments = $380

Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16

The financing agreement is approximately 68 months long.

Sticker price = $19,200

Discount = 6% of sticker price = 0.06 x $19,200 = $1,152

Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048

Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84

Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84

Using the formula for monthly payments on a loan:

P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)

= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92

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The sum is x/(x+5) + (x+10)/(x+1).

The difference is x/(x+5) - (x+10)/(x+1).

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Here, we have

Given: x/(x+5) + (x²+20x+100)/(x²+11x+10)

Sum:

= x/(x+5) + (x²+20x+100)/(x²+11x+10)

= x/(x+5) + (x+10)²/(x+1)(x+10)

=  x/(x+5) + (x+10)/(x+1)

Hence, the sum is x/(x+5) + (x+10)/(x+1).

Now, the difference:

= x/(x+5) - (x²+20x+100)/(x²+11x+10)

= x/(x+5) - (x+10)²/(x+1)(x+10)

= x/(x+5) - (x+10)/(x+1)

Hence, the difference is x/(x+5) - (x+10)/(x+1).

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Answer:

b/4 +b + b-8 =73

2b + b/4 = 81

9b/4 = 81

9b =81 * 4

b = 9* 4

b = 36

The sides of the triangles are 9 inch, 28 inch and 36 inch respectively

Step-by-step explanation:

The simplification form of the given mathematical equation 4^5 x 4^3 x 4^2 x 4^3 / 4^2 x 4 x 4^2 is \(4^{8}\)

In the given question, it is given

We know the simplification property of the division of numbers as,

Division in exponential form

\(\frac{a^{x} }{a^{y} }\) = \(a^{x-y}\) , and

Multiplication in exponential form

\(a^{x} . a^{y}\) = \(a^{x+y}\)

Similarly, we'll apply the same property to solve this question,

\(4^{5+3+2+3 + ( -2 -1 -2)}\)

\(4^{5+3+2+3 - ( 2 + 1 + 2)}\)

\(4^{13 - 5}\)

\(4^{8}\)

Hence, the simplification form of the given mathematical equation 4^5 x 4^3 x 4^2 x 4^3 / 4^2 x 4 x 4^2 is \(4^{8}\)

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Answer:

Explained below.

Step-by-step explanation:

The information provided is:

                                          Mean                    Standard Deviation

10 drops of water                4                                       0.61

10 drops of cellulase          3.5                                     0.50

10 drops of pectinase        12.5                                    0.71

5 drops of pectinase           10                                     0.82

+ 5 drops of cellulase

       \(SE=\frac{s}{\sqrt{n}}=\frac{0.61}{\sqrt{10}}=0.192899\approx 0.1929\)

       \(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=4\pm 2.262\times 0.1929\\\\=(3.5636602,\ 4.4363398)\\\\\approx (3.56, 4.44)\)

       \(SE=\frac{s}{\sqrt{n}}=\frac{0.50}{\sqrt{10}}=0.1581139\approx 0.1581\)

       \(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=3.5\pm 2.262\times 0.1581\\\\=(3.1423778,\ 3.8576222)\\\\\approx (3.14, 3.86)\)

       \(SE=\frac{s}{\sqrt{n}}=\frac{0.71}{\sqrt{10}}=0.2245217\approx 0.2245\)

       \(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=12.5\pm 2.262\times 0.2245\\\\=(11.992181,\ 13.007819)\\\\\approx (11.99, 13.01)\)

       \(SE=\frac{s}{\sqrt{n}}=\frac{0.82}{\sqrt{10}}=0.25930677\approx 0.2593\)

       \(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=10\pm 2.262\times 0.2593\\\\=(9.4134634,\ 10.5865366)\\\\\approx (9.41, 10.59)\)

The critical value of t is computed using the t-table for 95% confidence level and (n - 1) 9 degrees of freedom.

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Answer:

1/5

Step-by-step explanation:

Because it is 0.2 and 2/5 equal 0.4