solve for x pls help

After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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Answer:

x=40-6/5y

Step-by-step explanation:

5x=200-6y

x=40-6/5y

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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Answer: The answer is > because it means greater than, and -2.7 is closer to becoming a positive than -3.6.

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

87.92 m

Step-by-step explanation:

Circumference = pi*diameter

3.14*28m = 87.92 m

the possible values of x are -18/7 and 10. However, since the length and width of a rectangle cannot be negative, the only valid solution is x = 10 and  the first rectangle has length 100 units and width 20 units, and the second rectangle has length 320 units and width 60 units. Their length to width ratios are both 5:1.

The length to width ratio of the first rectangle is \((x^2-12x+20)/(x+10),\)and the length to width ratio of the second rectangle is \((x^2+12x+20)/(5x+10).\)If both ratios are the same, then we can set them equal to each other and solve for x:

\((x^2-12x+20)/(x+10) = (x^2+12x+20)/(5x+10)\)

Multiplying both sides by (x+10)(5x+10) gives us:

\((x^2-12x+20)(5x+10) = (x^2+12x+20)(x+10)\)

Expanding both sides and simplifying gives us:

\(7x^2 - 2x - 180 = 0\)

We can factor the left-hand side to get:

(7x+18)(x-10) = 0

Therefore, the possible values of x are -18/7 and 10. However, since the length and width of a rectangle cannot be negative, the only valid solution is x = 10.

Therefore, the first rectangle has length 100 units and width 20 units, and the second rectangle has length 320 units and width 60 units. Their length to width ratios are both 5:1.

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Answer: Two quanties are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio. ... inversely proportional: y is inversely proportional to x of y=k/x.

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

Answer: yes, yes, no, yes.

Assuming that we have two data sets, a and b, with means of 20 and 30, respectively, and the same standard deviation of 5, we can conclude that neither data set is more spread out than the other.

Suppose you have two data sets A and B, with means of 20 and 30, respectively, and the same standard deviation of 5. To determine which data set is more spread out, we need to compare the variance of the two data sets. Since the variance is the square of the standard deviation, we can compare the variances of the two data sets. Using the formula, Var = s², we can calculate the variances of data set A and B.

\(Var(A) = (5)^2 = 25\\Var(B) = (5)^2 = 25\)

Both data sets have the same variance, indicating that they have the same amount of spread, or convergence. Therefore, we can conclude that no data set is more spread out than the other.

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Answer:

you would role 2 about 67 times

Step-by-step explanation:

Answer:

67 times

Step-by-step explanation:

The probability of rolling a 2 is:

P(2) = number of 2's on a die / total sides on a die.

P(2) = 1/6

Multiply this probability by the number of rolls.

P(2) * 400

1/6 * 400

66 2/3

Rounding up.

67 times

Step-by-step explanation:

To factorise a quadratic we have to go from an expression such as x2 − 2x − 15 to the linear factors (x − 5)(x + 3) which generate it when multiplied out.

Answer:

Any angle less than 90 degrees.

Step-by-step explanation:

90 degrees is a right angle. Anything less than that, or less open, would be an acute angle. Anything wider than 90 degrees is an obtuse angle.

Answer:

66 degrees

Step-by-step explanation:

I dont remember the name of this law but ik its right

The parametric representation for the part of the cylinder y^2+z^2=64y^2+z^2=64 that lies between the planes x=0 and x=2.

Parametric representation refers to a method of expressing the coordinates of points in terms of one or more independent parameters. Instead of directly specifying the values of x and y (or any other variables), parametric equations define them as functions of one or more parameters.

The given equation of the cylinder is y^2+z^2=64y^2+z^2=64.

It can be observed that the cylinder is symmetric about the xx-axis.

The xx-coordinate varies from 0 to 2, therefore the parameter xx varies from 0 to 2.

We can write the parametric equation of the cylinder by taking xx=uu, yy=rv and zz=sv,

where rr and ss are parameters.

Let rr = θ and ss = z.

Therefore, x = u, y = 8sinθ, and z = 8cosθ.

Therefore, the parametric representation for the part of the cylinder y^2+z^2=64y^2+z^2=64 that lies between the planes x=0x=0 and

x=2x=2 is:

(x,y,z)=(u,8sinθ,8cosθ), where 0 ≤ u ≤ 2 and 0 ≤ θ ≤ 2π

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The solution of the inequality 2b + 5 ≤ 30 is b ≤ 12.5

Inequalities refers to some type of equations where the relationship between the left hand side and the right hand side of an equation is expressed in terms of symbols other than equal to

The symbols include

In the problem given the symbol used is less than or equal to and the equation is solved by

2b + 5 ≤ 30

2b + 5 - 5 ≤ 30 - 5

2b ≤ 25

dividing through by 2

2b / 2 ≤ 30 / 2

b ≤ 12.5

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Based on the survey, approximately 189 adults would erase all of their personal information online if they could.

We can calculate the proportion of adults who would delete their personal data as follows:

Adults = All adults questioned * Adults who would delete their personal information as a percentage

Number of adults = 524 * 0.36

Number of adults = 188.64

Therefore, based on the survey, approximately 189 adults would erase all of their personal information online if they could.

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Answer:

4

Step-by-step explanation:

I looked it up

Answer:

7*450*.5%

Step-by-step explanation:

The number of passcodes that meet the given criteria is 1286.

Ali has forgotten the four-digit passcode required to unlock his mobile phone. He knows that the first digit is greater than one. The passcode number is a multiple of 7. The minimum passcode digit is 0000, and the maximum passcode number is 9999. The multiples of 7 are 0, 7, 14, 21, 35, ---, 9996. The multiples of 7 that end in 1 are : 21, 91, ---, 9961. Let the number of multiples of 7 be N1. Let the number of multiples of 7 that end in 1 be N2. The values of N1 and N2 can be calculated as below :

9996 = 0 + (N1 - 1)*7

9996 = (N1 - 1)*7

N1 - 1 = 1428

N1 = 1429

9961 = 21 + (N2 - 1)*70

9940 = (N2 - 1)*70

N2 - 1 = 142

N2 = 143

So, the number of passcodes that meet the above criteria is 1429 - 143 = 1286.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

7 inches

Step-by-step explanation:

Volume 1 - 300 pages 2 inches

back cover 1/4 inch

Volume 2 - front cover 1/4 inch

300 pages 2 inches

back cover 1/4 inch

Volume 3 - front cover 1/4 inch

300 pages 2 inches

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

It can eat 60 mosquitos in 1 minute.

Step-by-step explanation:

\(2400\) ÷ \(40\) \(= 60\)

You sold 96 adult tickets, 48 child tickets, and 15 senior tickets.

Since you are manning the ticket box for the community theater, and you have sold a total of 201 tickets, and adult tickets to the show cost $ 18, senior tickets cost $ 15, and a child's ticket costs $ 8, and the total amount you have. collected is $ 2967, you also know you have sold twice as many adult tickets as children's tickets, to determine how many of each type of ticket have you sold the following calculation must be performed:

Therefore, you sold 96 adult tickets, 48 child tickets, and 15 senior tickets.

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Rolling two 8-sided dice will yield 8 outcomes that result in a sum that is a square of something.

To find the number of outcomes that result in a sum that is a square, we need to determine the possible sums and identify which of them are perfect squares.

Let's analyze the possible outcomes when rolling two 8-sided dice. Each die has 8 faces, numbered from 1 to 8. Therefore, the maximum sum we can obtain is 8 + 8 = 16.

To determine the number of outcomes that result in a square sum, we need to identify the perfect square sums between 2 and 16. The perfect squares in this range are 4, 9, and 16.

Now, let's find the outcomes that yield these square sums:

To obtain a sum of 4, we can roll (1, 3), (2, 2), or (3, 1) on the two dice. That's 3 possible outcomes.

To obtain a sum of 9, we can roll (3, 6), (4, 5), (5, 4), or (6, 3) on the two dice. That's 4 possible outcomes.

To obtain a sum of 16, we can only roll (8, 8) on the two dice. That's 1 possible outcome.

Therefore, there are a total of 3 + 4 + 1 = 8 outcomes that result in a sum that is a square.

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In sequence , 17/8 is the difference between the largest and smallest possible values that can be obtained using this procedure.

What is sequence and example?

Let any chosen number sequence be a,b,c,d,e

1st average of two number = (a+b)/2

2nd average of number = {(a+b)/2 + c}/2 = (a+b+2c)/4

then,

Final average= (a+b+2c+4d+8e)/16

So pluggin in the values in the two sequences we get

Max = (1+2+2*3+4*4+8*5)/16 = 65/16

Min = (5+4+2*3+4*2+8*1)/16 = 31/16

Max. - Min = (65-31)/16 = 17/8

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