A truck of mass 3266 kg traveling at constant velocity 68 ms-1 suddenly breaks and come to rest within 8 seconds. If the only resistive force on truck if frictional force, what is the coefficient of friction between tires and road?

Answer: 43.75 (PLEASE GIVE BRAINLIEST)

Step-by-step explanation:

The rate can be calculated by dividing the distance traveled by the time it took to travel that distance. So, the rate for 175 miles in 4 hours is 175/4 = 43.75 miles per hour.

The unit rate, also known as the speed, is the rate per one unit of time, in this case one hour. So, the unit rate for 175 miles in 4 hours is 43.75 miles per hour.

3 cm 3 mm = 3.3 cm, 2 cm 5 mm = 2.5 cm, 4 cm 5mm = 4.5cm

The combined heights of the boxes are 3.3 + 2.5 + 4.5 = 10.3(cm)

-> There is 35 - 10.3 = 24.7(cm) above the boxes in the drawer left.

Answer:

DE/AB= DC/AC , 12/AB= 6/11 , AB= 12×11/6=2×11=22 , Sory i can't explain , i bad know english language. or so ABC~CDE because DE||AB=> DE/AB=DC/AC

The tax rate given as a percentage, can be used to find out the amount

to be paid as tax.

Correct response:

The given parameters are;

Susan Wong's taxable income last year = $52,915

The income tax rate = 2%

Required:

Susan Wong's tax last year

Solution:

The tax rate is given as a percentage of the taxable income.

The amount payable as tax = The tax rate × The taxable income

Therefore;

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Answer:

20x^2+7x−6

Step-by-step explanation:

Answer:

Yes it's proportional

Step-by-step explanation:

If x = gallons and y = distance;

Thus;

64 miles on 2 gallons means: y = 64 and x = 2

Now, the constant of proportionality is usually given as; k = y/k

Thus; k1 = 64/2 = 32

For 16 miles on 1/2 gallon: y = 16 and x = 1/2

Thus;

k2 = 16/½

k2 = 32

For 32 miles on 1 gallon; y = 32 and x = 1

Thus;

k3 = 32/1

k3 = 32

We can see that the constant of proportionality in each of the 3 instances is the same. Thus; it means that the relationship is proportional.

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Answer:

Step-by-step explanation:

5*2=10, 10*2=20...

it is a geometric progression with ratio= 2

a11=a10*2=2560* 2=5120

The length of the mowing path with the mower is 20√5 yards, based on the Pythagorean theorem. The path is the diagonal of the rectangular pasture.

To find the length of the diagonal pass the gardener mows, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the sides.

In this case, the two sides of the rectangle are 20 yards and 40 yards.

So, the length of the diagonal can be found as follows

diagonal^2 = 20^2 + 40^2

diagonal^2 = 400 + 1600

diagonal^2 = 2000

diagonal = sqrt(2000)

Simplifying the radical, we get:

diagonal = sqrt(4500)

diagonal = 20sqrt(5)

Therefore, the length of the diagonal pass with the mower is 20*sqrt(5) yards, in simplified form.

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It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead. Comparing multiple pairs of means using independent two-sample t-tests without adjusting for the multiple comparisons can lead to an increased probability of committing a Type I error.

When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, it is appropriate to use a one-way ANOVA instead of multiple independent two-sample t-tests. The reason is that performing multiple t-tests increases the overall Type I error rate, which is the probability of falsely rejecting a true null hypothesis. This is known as the multiple testing problem, and it occurs when we conduct multiple hypothesis tests without controlling the overall error rate.

In contrast, the one-way ANOVA controls for the Type I error rate and tests the null hypothesis that all population means are equal. If the null hypothesis is rejected, then at least one population mean is significantly different from the others. We can then perform post-hoc tests, such as Tukey's HSD, to determine which population means are different.

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The expression represents the phrase: "7 plus the product of 3 and x." is 7 + 3x. The correct option is C.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the word phrase for the expression is 7 plus the product of 3 and x.

The mathematical form of the expression will be:-

E = 7 plus the product of 3 and x.

E = 7 + 3x

Therefore, the correct expression is 7 + 3x.

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Based on the given parameters, we can calculate the maximum values of the construction site. The gross floor area is 9,800m², with 1,800m² allocated for lift lobby and corridor, and 200m² for lift machine room and water tank. The construction cost is $8,000/m².

The design and tendering period is 6 months, and the construction period is 16 months. The expected usage is rental at $200/m² per month, with a letting void of 2 months. The interest rate for short-term finance is 12% per annum, and the initial yield is 5%.

To calculate the maximum values of the construction site, we need to consider various factors. The gross floor area, floor area allocation, and construction cost determine the overall cost of construction. The design and tendering period and construction period provide information on the timeline of the project.

The expected usage and rental rate help estimate the potential income from renting out the space. The letting void represents the period when the space may remain unoccupied, impacting the potential income.

The interest rate for short-term finance is relevant for determining the financing costs associated with the construction project. The initial yield indicates the expected return on investment based on the rental income.

To obtain the maximum values, a comprehensive analysis considering all these factors is required. This analysis would involve calculating the total construction cost, estimating the potential rental income, factoring in the letting void and financing costs, and assessing the initial yield.

Without specific values or formulas provided, it is not possible to provide the exact maximum values based on the given parameters. A detailed financial analysis would be necessary to determine the precise figures.

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Mariol pays $12 for a pound of cheese and a pound of sausage, and $42 for 4 pounds of cheese and 1 pound of sausage.

To solve this problem, we can apply simple algebra. Let's use the letter for the initial, C for a pound of cheese, and S for a pound of sausage.

3 C + 3 S = $36

If the sausage cost $2.00 per pound, so

3 C + 3 ($2) = $36

3 C + $6 = $36

To know the price for a pound of cheese, do as follow

3 C = $36 - $6

3 C = $30

1 C = $30 : 3 = $10

Thus, 1 pound of cheese and 1 pound of sausage would be $2 + $10 = $12

Moreover, if 4C + 1S = 4($10) + 1($2) = $40 + $2= $42

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Answer:

A. (Pay as you go) $120 B. (Regular deal) $90 C. (All-in-one price!) $100 D. The "Regular deal" option would be the least expensive for Carl.

Step-by-step explanation:

If Carl does the "Pay as you go" option he would be charged $6 each time. If he works out 20 times a month, we can multiply 20 by 6 to get a total of $120 for that option.

If Carl does the "Regular deal" option he would be charged $50 + an additional $2 for each time he works out. From there, we can get the equation 2x + 50 where x is the amount of time he works out. If we plug in 20 for x (as he works out 20 times a month), we get 2(20) + 50 which equals a total of $90 for that option.

If Carl does the "All-in-one Price!" option he would be charged $100 for the whole month meaning he has unlimited use of the gym with no extra charge besides the $100.

The cheapest option is the "Regular deal" option as it charges $90 compared to the $100 for the "All-in-one Price!" option & the $120 for the "Pay as you go" option.

Answer:

y = x+5 where y is Mark's age

Step-by-step explanation:

Hi there, to answer this problem, you need to really think about what it is asking. In saying that mark is 5 years older than Juan, we know it is going to involve addition. Then, you simply need to think about the relation to Juan's age. In this case, Mark is older so you add to it. Hope this helped!

Answer:

Not always

Step-by-step explanation:

Some fractions, like 1/2, if you add it with 1/2, it equals one.

Halves will always equal one, and they are fractions too, so technically not all addition of fractions are greater than 1.

hope this helped

Answer:

Put it in math-way and please write the expression so I can solve it

Step-by-step explanation:

The program generated a prime number 14 times.

Relative frequency is a statistical measure that expresses the number of times an event occurs during a given period as a fraction of the total number of observations during that same period.

If the relative frequency of the program showing a prime number was 7/10, this means that out of the 20 times, Nathan generated a number randomly, the program showed a prime number 7/10 times.

So, the number of times the program generated a prime number can be found by multiplying 20 by 7/10:

20 x 7/10 = 14

Therefore, the program generated a prime number 14 times.

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The amount of the annual depreciation has been $90.

The statement provides us with the following data:

The yearly depreciation of the table saw can be calculated by subtracting the depreciated value from the original cost and dividing by the number of years.

Yearly depreciation = (Original cost - Depreciated value) / Number of years

Yearly depreciation = ($810 - $450) / 4

Yearly depreciation = $360 / 4

Yearly depreciation = $90

Therefore, the amount of yearly depreciation for the table saw is $90.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\).

\(m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3\)

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

Answer:

hope it helps.

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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Answer:

four quadrants on the monitors: Left, Right, Top Middle and Bottom Middle.

Step-by-step explanation: