Ron recently increased the size of his Jeep tires from the original P220/75R16 to the
larger P250/85R17. If Mike didn't recalibrate his speedometer, how fast is he really
going on the new tires when his speedometer shows he is traveling 60 mph?
O 54.5 mph
O 62.1 mph
66.1 mph
O 69.8 mph

We have that the  workdone in stretching natural length to is mathematically given as

W=9/2lbft

Question Parameters:

Generally the Hookes equation for the Force   is mathematically given as

F=Kx

Where

3.2lb=2ft*k

Thereofore

k=16

Force becomes

f=kx

f=16x

Hence

\(W=8[x^2]^{3/4}_{0}\)

W=9/2lbft

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Answer:

False; false; true

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

Since our given figure is 10 by 4, we have an area of 40. The pictures must have a similar area of 40 in order to be similar. Since none of the pictures have an area of 40, we have no pictures that are similar.

Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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Answer:

y = x + 3

Step-by-step explanation:

→ Rewrite y - x + 3 = 0 in y = mx + c format

y = x - 3

→ Find the gradient of L4

1

→ Rewrite into y = mx + c format

y = x + c

→ Substitute in ( 0 , 3 )

3 = 0 + c

→ Find c

c = 3

→ Rewrite into y = mx + c

y = x + 3

Step-by-step explanation:

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Answer: 135

exponents are :2,4,8

add on to each: 3,5,9

3*5*9 = 135

Step-by-step explanation:

Step-by-step explanation:

\(\sqrt[3]{t^{2} } + 4\sqrt{t^{3} } \\=t^{\frac{2}{3} } + 4t^{\frac{3}{2} }\\\\then, \\u` = \frac{2}{3}t^{-\frac{1}{3}} + 6t^{\frac{1}{2} }\)

Answer:

4

Step-by-step explanation: 12 divided by 3 equals 4

Answer:

4 liters

Step-by-step explanation:

12 divided by 3 is 4

The maximum number of books on each shelve is given as follows:

8 books.

The maximum number of books on each shelve is obtained applying the greatest common factor to 32 and 56, as they are the amounts of each type of book, and each shelve will contain only one type of each book.

The greatest common factor is obtained factoring both numbers simultaneously by prime factors, as follows:

32 - 56|2

16 - 28|2

8 - 14|2

4 - 7|

There is no number by which 4 and 7 are simultaneously divisible by, hence:

gcf(32,56) = 2 x 2 x 2 = 8.

The problem asks for the maximum number of books on each shelve.

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Answer:

3x - 8 = 2x + 1

Step-by-step explanation:

Let x be the number

3x - 8 = 2x + 1

3x - 8 (The difference of three times a number  and 8)

2x + 1 ( one more than twice the number)

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

Answer:

-7=<x<2

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Answer:

4 minutes and 44 seconds.

The statement that is true about the function is:

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).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The two possible ways to find the area are -

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

We have a trapezoid.

Now, we can find the area in two ways -

[1] -

A = (1/2) × {a + b} × {h}

[2] -

A = {b x h} - (1/2) x {(b - a} x h}

Therefore, the two possible ways to find the area are -

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Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x  that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two marked angles are supplementary, so they add up to 180°.

The equation is solved in following steps:

Answer:4$

Step-by-step explanation:

The value of tα/2 of the t-test is 2.898

A t-test is a statistical test that is used to compare the means of two groups. tα/2 refers to the t critical value from the t-distribution table that corresponds to α/2

Given:  n = 18 and a 99% confidence interval

We have to find the critical t value for 99% confidence level and sample size of 18

Degrees of freedom = n - 1 = 17

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

In the t table (check the attached image), we have to check the value against the column 0.005 and for 17 degrees of freedom.

The value obtained from the table is 2.898

Therefore, tα/2 = 2.898

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0.5 because if you look at 1, d is basically half the size

Answer:

The GCF is 27.

Step-by-step explanation:

hope this helps

The factors of 27 are: 1, 3, 9, 27

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 27.

Answer:

80 runners

Step-by-step explanation:

24/30=0.8

0.8*100=80

Answer:

80 runners

Step-by-step explanation:

make a proportion: 30/100 = 24/x

cross multiply: 2400=30x

divide: 2400/30=80

80 runners

For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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The inequality the determines the value of t as number of tricks Roxanne might do during a competition is t≤ 28.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Several types of inequalities are represented by a variety of notations.

Given that, she has learned a total of 28 different tricks.

If we suppose t as number of tricks Roxanne might do during a competition.

Then the inequality the determines the value of t is t≤ 28 .

Hence, the inequality the determines the value of t is t≤ 28 .

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Answer:

  2 +4√2

Step-by-step explanation:

Perhaps you want the simplified form of (6-√8)/(√2 -1).

The denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:

  \(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)

__

Additional comment

The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.

The same "difference of squares" relation can be used to remove a complex number from the denominator.

  (a -b)(a +b) = a² -b²

In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.

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Answer:

-----------------------

Simplify the expression in steps:

\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)

\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)

\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)

\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)

\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)

\(\cfrac{2(2\sqrt{2}+1) }{1} =\)

\(4\sqrt{2}+2\)

Answer:

r = 1

Step-by-step explanation:

Given the equation of proportion

y = rx ← r is the constant of proportionality

Divide both sides by x

\(\frac{y}{x}\) = r

Choose any ordered pair from the table

Using x = 5.8 and y = 5.8 , then

r = \(\frac{5.8}{5.8}\) = 1