Evaluate the expression 23.5 − 6.8x when x = 3.

1. The annual costs from the pothole damage is $156428.

2. The annual costs due to damage from

collisions is $72000 per year.

3. The project should be undertaken

1. The budget is given as $100,000

The number of cars hit potholes per week = 15

Number of cars hit potholes per year = 15*52.148

= 782.14 cars

Total amount of damage per year will be:

= 782.14 * 200 = $156428

2. Number of collusion at intersection per month = 1

Number of collusion at intersection per year = 1 * 12 = 12

Total cost of collusion at intersection per year = 12*6000

= $72000 per year

3. Saving on potholes = 156248 / 100000 = $ 1.56

Saving on collusion at intersection:

= 72000 / 100000

= $0.72

So from above, it is clear that if the budget is spent on potholes, more savings will be done. Thus the budget should be invested in potholes.

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The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

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Answer:

7.00

Step-by-step explanation:

36.8/ (11.5-6.25) = 7.00952380952                                                                                       Now just pick two first numbers two there you go.                                                                Dam being a 6 grader Wow

The slope of a line that passes through the points (1,−2) and (2,2) is 4.

The two given points are (1,-2) and (2,2).

We have to find out the slope of the line that passes through the two given points.

We know that the slope of a line passing through two points ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is -

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

Using this formula for the given points (1,-2) and (2,2), we can find out the slope of the line passing through them as -

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\= > m = \frac{2-(-2)}{2-1}\\ = > m = \frac{4}{1}\\ = > m = 4[/tex]

Thus, the slope of a line that passes through the points (1,−2) and (2,2) is 4.

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Answer:

The number opposite the product of 1/15 and 1/16 will be 240.

Step-by-step explanation:

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The number opposite the product of 1/15 and 1/16 will be given as,

            1

_____________

     (1/15)*(1/16)

        1

     ____

     1/240

      240

Answer:

7.65643191

Step-by-step explanation:

2.3^2 = 5.29      √5.6 = 2.36643191324

5.29 + 2.36643191324 = 7.65643191

Answer:

C

Step-by-step explanation:

The first term is 4x.  The first term is the product of 4 and x.

Answer:

x = 0

Step-by-step explanation:

Substitute g(x) for x-5 in the equation,

x-5 = -5

collect like terms or add 5 to both sides

x = -5+5

x = 0

The system of equations are graphed in the image below, showing that they have infinitely many solutions, which include (3, 0) and (0, 3).

The values of a pair of x and y that will make two different equations in a system true is the solution to the system of equations.

By graphing, we can determine the solution by finding the x and y coordinates of the point that both lines of the equations intersect at.

The lines of x + y = 3 and 5x + 5y = 15 are graphed in the image below, which is the same blue line. This shows that the equations have infinitely many solutions such as (3, 0) and (0, 3).

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[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & 2\\ P=\textit{initial amount}\dotfill &18\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years \end{cases}[/tex]

[tex]2=18(1 - 0.04)^{t}\implies \cfrac{2}{18}=(1 - 0.04)^{t}\implies \cfrac{1}{9}=0.96^t \\\\\\ \log\left(\cfrac{1}{9} \right)=\log(0.96^t)\implies \log\left(\cfrac{1}{9} \right)=t\log(0.96) \\\\\\ \cfrac{\log\left(\frac{1}{9} \right)}{ ~~ \log(0.96) ~~ }=t\implies 53.82\approx t\qquad \textit{about 53 years and 301 days}[/tex]

It will take approximately 54 years for the element to decay from 18 grams to 2 grams at a rate of 4% per year.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

To determine how long it takes for an element to decay from 18 grams to 2 grams, you can use the formula:

t = (ln(A/B)) / (-r)

where:

t is the time it takes for the decay to occur

A is the initial amount of the element, in this case 18 grams

B is the final amount of the element, in this case 2 grams

r is the decay rate, in this case 4% per year

Plugging these values into the formula gives you:

t = (ln(18/2)) / (-0.04)

t = (ln(9)) / (-0.04)

t = (2.1972) / (-0.04)

t = -54.30

Hence, It will take approximately 54 years.

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Answer:

21

Step-by-step explanation:

√441

Take factors of 441

-> 1,3,7,9,21,49,63,147,441

If you know all of them like this and it’s an odd number, find the middle value that doesn’t have a pair and it’s 21.

If you don’t just take a different value that has a square root. Let’s do 9.

Separate the root into √9*49

Woah, both of those are squares!!

Take the square root of both of those numbers

√9*√49

3*7=21, voila.

It is very easy, we just have to take the square root as it tells us in the problem:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{ \sqrt{441 }} = \orange{21}[/tex]

You may ask ¿why 21?

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{21 \times 21} = \orange{441} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf So , \: the \: result \: is \\ \sf \: \: \: \: \longmapsto \orange{21} [/tex]

When one flip three coins eight times, there no guarantee to get three heads at least once as the probability is low.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

The probability of getting a head in a coin is 1/2.

Therefore, the probability of getting three heads on there flips will be:

= P(head)³

= 1/2 × 1/2 × 1/2

= 1/8

Therefore, the probability is low and the heads aren't guaranteed.

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Answer:

Step-by-step explanation:

Let the number of small boxes is s and number of large boxes is l.

s and l are our variables.

Total number of boxes is 21:

This is your first equation.

The volume of a small box is a (since it is not given, if you have it please replace it with that number), and the volume of all small boxes is as.

The volume of a larger box is 14 cubic feet, and the volume of all large boxes is 14l cubic feet.

Total volume is 252 cubic feet, add the two volumes together:

And this is your second equation (don't forget to replace a with the volume of a small box).

Using the factorization of polynomial, the factor of the given expression is (3x-4)(x+2).

In the given question we have to find the each polynomial expression of 3x^2+2x-8.

The given expression is 3x^2+2x-8.

Now finding the factor of the given expression.

The multiply of the first and third variable is 24. The middle term is 2.

So the possible factor is 6 and 4.

3x^2+2x-8 = 3x^2+(6-4)x-8

3x^2+2x-8 = 3x^2+6x-4x-8

3x^2+2x-8 = 3x(x+2)-4(x+2)

3x^2+2x-8 = (3x-4)(x+2)

Hence, the factor of the given expression is (3x-4)(x+2).

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The right expression is 3x^2+2x-8.

Answer: Using SOH CAH TOA you get 10.24

Step-by-step explanation:

you can determine what the value of X is and it is 10.24

This is gotten by sin52=x/13

Because we are trying to get x which is opposite the angle, and we have the value of the hypotenuse already (13) we can using SOH that is  sin 52= x divided by 13

Cross multiply and you'll get 10.2441398

The daily production level that will minimize the costs is 106300 units.

Given,

In the question:

The accountant for the factory says that the costs for producing x thousands of units a day can be approximated by the formula

C = 0.04x² -8.504x + 25302.

To find the daily production level that will minimize the costs.

Now, According to the question:

From the information, the function is given as

C = 0.04x² - 8.504x + 25302.

C = cost

From the function, the following can be deduced:

a = 0.04

b = 8.504

c = 25302

Then, -b/(2a) will be:

= -8.504 / (2 × 0.04)

= 106.300

Note that production level will minimize the cost in thousands.

The production level will now be:

= 106.300 × 1000

= 106300 units

Hence, The daily production level that will minimize the costs is 106300 units.

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The test statistic, using the z-distribution, is given as follows:

z = 1.12.

At the null hypothesis, it is tested if there is not enough evidence that the proportion is greater than 20%, that is:

[tex]H_0: p \leq 0.2[/tex]

At the alternative hypothesis, it is tested if there is evidence that the proportion is greater than 20%, that is:

[tex]H_0: p > 0.2[/tex]

The test statistic is given by the equation presented as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the variables of the equation are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]p = 0.2, n = 500, \overline{p} = \frac{110}{500} = 0.22[/tex]

Hence the test statistic is given as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.22 - 0.2}{\sqrt{\frac{0.2(0.8)}{500}}}[/tex]

z = 1.12.

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Answer:

A. yes, B. yes,C. yes

Step-by-step explanation:

A. (3,0) yes

b. (4,-2) yes

c. (5,-4)yes

The equation of the line in slope intercept form is y = 2x - 7..

The equation of a line can be represented in slope intercept form as follows;

y = mx + b

where

Therefore, the equation of the line that passes through  (5,3) and has a gradient of 2 can be found as follows;

m = 2

let's find the y-intercept using (5, 3)

3 = 2(5) + b

b = 3 - 10

b = -7

Therefore, the equation of the line is y = 2x - 7.

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The probability that their babies would have brown wool will be 25%.

When two or more alleles for the same characters are present at the same loci on homologous chromosomes, a cell, a nucleus, or a single organism is said to be heterozygous. In contrast to homozygous, where the alleles are identical, it signifies that the alleles that code for the same gene or characteristic are different.

Given, the two-parent sheep would need to have heterozygosity for their genotype if we were to assume straightforward Mendelian genetics. Black would not be dominant in this situation; instead, the parents would be, shall we say, Rr for color. Imagine that each parent can only contribute one allele (either the R or the r). If both should chance to deliver the r, the child would be black.

Therefore, 25% of the following generation's children are likely to be black. There would be a 25% probability of a homozygous dominant offspring, a 50% chance of a heterozygous offspring, and a 25% chance of a homozygous recessive offspring if you filled out a Punnett square for this issue. Since white is the dominant allele in this situation, both the homozygous dominant allele, which accounts for 75% of the possibilities and the heterozygous child will be white. Since two recessive alleles are required to manifest the recessive phenotype, the remaining 25% of people are black.

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The possible combinations are

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

Given:

A snack machine sells Crisps (C), Cereal Bars (B) and Soft Drinks (S).

Jesse buys 2 different drinks at random.

So, the possible combinations for the drinks she buys are:-

CB, CS, BC, BS, SC, SB

Since the order in which Jesse bought the drink does not matter, the possible combinations are

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The higher F value means higher between-group variability relative to within-group variability. Option(b) is correct.

Analysis of variance (ANOVA) is a statistical formula used to compare variances between means (or averages) of different groups. It is used in a variety of scenarios to determine whether there is any difference in the means of different groups.

The F-value is the ratio of between-group and within-group variation. A high F-value indicates that the between-group variation is greater than the within-group variation. This can be interpreted as a statistically significant difference in the means of your groups.

A large f value (one greater than the F critical value found in a table) indicates that something is significant, whereas a small p-value indicates that all of your results are significant.

Therefore a higher F value the higher between-group variability relative to within-group variability.

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Answer:

The number opposite the product of 1/15 and 1/16 will be 240

Step-by-step explanation:

          1

____________

  (1/15) x (1/16)

           1

____________

        1/240

        240

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The number opposite the product of 1/15 and 1/16 will be given as,

The best search engine for Musical Instrument and Sound Effects in MP3 Audio Online is MP3 realm.

MP3 is a digital audio coding format developed primarily by the Fraunhofer Society in Germany, with assistance from other digital scientists in the United States and elsewhere.

MP3 (MPEG-1 Audio Layer-3) is a standard technology and format for compressing a sound sequence into a small file (about one-twelfth the size of the original file) while maintaining the original level of sound quality when played. MP3 files, which take up very little hard drive space, are commonly used to store a song or an entire CD.

MP3 Realm is a music search engine that allows you to find MP3 tracks from all over the Internet.

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The average rate of flow of gasoline into the gas tank is 2.2 gallons per minute.

The average is the mean value of the data set values.

The mean is computed by dividing the total value by the number of items.

For the average rate of flow, divide the total gallons of gasoline filled by the driver, 8.8 gallons, by the number of minutes used in filling the tank.

In this case, the average rate of flow shows the speed that the driver used to fill the car with gasoline.

Starting time = 3:40 P.M.

Ending time = 3:44 P.M.

The difference in filling time = 4 minutes (3:44 - 3:40)

Total number of gallons of gasoline filled = 8.8 gallons

Average rate of flow of the gasoline = 2.2 gallons per minute (8.8/4)

Thus, at an average rate of 2.2 gallons per minute, the driver was able to fill his gas tank in 4 minutes.

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Answer:

do you speak English

Step-by-step explanation:

Amy weighs 150 pounds on earth and 350 on another planet. Find West lose weight on that planet if he weighs 130 pounds on earth.

Value of m is -4

Value of x is 5

To solve linear equations, follow the following steps:

Equation 1.

2-6m = -4m+10

6m-4m = 2-10

2m = -8

m = -8/2

m = -4

Value of x is -4

Equation 2.

2.5+1.75 = -3.25+1.5x

1.5x = 4.25+3.25

1.5x = 7.5

x = 7.5/1.5

x = 5

Value of x is 5

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