Jim can travel at most 240 miles before he needs to stop for fuel. On a road trip, Jim drives a consistent 70 miles per hour for h hours, and he has already driven 100 miles. Model Jim's situation with an inequality, and solve for h. What can be interpreted about the solution to the inequality? A. Jim has at most two hours before he must stop for fuel. B. Jim has at least two hours before he must stop for fuel. C. Jim has at most four hours before he must stop for fuel. D. Jim has at least four hours before he must stop for fuel.

Answer:

0.82

Step-by-step explanation:

A： area =2( 0.8*0.6*+0.6*1+0.8*1) =2(0.48+0.6+0.8)=2*1.88 =3.76

B：area = 2(1.4*0.5+0.5*1.2+1.4+1.2) =2(0.7+0.6+1.68)=2*2.98=5.96

total 9.72

cost = $6.79* 9.72/80 =$0.82

Answer:

This is an equation of a line in standard form. The "C" is the constant of the equation

Step-by-step explanation:

Answer:

- 27

Step-by-step explanation:

Evaluate from the ' inside out ' , that is

Evaluate g(2) then use this value to evaluate f(x) then use this value to evaluate h(x)

g(2) = 4(2)² - 9 = 4(4) - 9 = 16 - 9 = 7, then

f(7) = 7 + 7 = 14 , then

h(14) = - 2(14) + 1 = - 28 + 1 = - 27

Answer:

1. 112 degrees = d 1.95 units clockwise

2.57 degrees = a 0.99 units

3. -133 degrees = b 2.32 units clockwise

4. 215 degrees = c (-0.82, -0.57)

Step-by-step explanation: I guessed on most of them by just looking at the unit circle and proof of their accurracy: just finished the edge practice.

Answer:

2/9 - 1/3 (If you want to solved: -1/9)

Step-by-step explanation:

2 over 9 is 2/9 minus is just -  and 1 over 3 is 1/3 so the equation looks like this: 2/9-1/3

To solve this you need to multiply the 1/3 by 3 on both the denominator and numerator: 2/9-3/9

simplify: -1/9

Hope this helps!

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:

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

B) 22

Step-by-step explanation:

6(4)-4+2

24-4+2

20+2

22

Answer:

B) 22

Step-by-step explanation:

In order: 6*4 is 24. Subtract 4 from that is 20, and then adding 2 to 20 gets you 22.

Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120

Yes, we can say that the confidence interval constructed does cover this population proportion is the answer.

A sample of 1110 observations taken from a population produced a sample proportion of 0.32.

Make a 90% confidence interval for p: First, we have to find the critical value of z for a 90% confidence interval: α = 1 - 0.9 = 0.1α/2 = 0.05

From the z-table, the z-critical value for α/2 = 0.05 is 1.645

Now, we can use the formula to find the confidence interval:

Confidence interval = sample proportion ± z * √(sample proportion * (1 - sample proportion) / sample size)

Confidence interval = 0.32 ± 1.645 * √(0.32 * 0.68 / 1110)

Confidence interval = (0.293, 0.347)

The 90% confidence interval for p is (0.293, 0.347).

We can see that the true population proportion of 0.34 is within this interval.

Therefore, we can say that the confidence interval constructed does cover this population proportion.

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The flux of the vector field f=(x² y²)k through the disk of radius 10 in the xy-plane, centered at the origin and oriented upward, is zero.

The flux of a vector field through a surface is given by the surface integral of the dot product of the vector field and the unit normal vector to the surface. In this case, the vector field is f=(x² y²)k, which is pointing in the z direction, and the surface is a disk in the xy-plane of radius 10, centered at the origin, and oriented upward.

The unit normal vector to the disk is pointing in the upward direction, which is the same direction as the vector field. Therefore, the dot product of the vector field and the unit normal vector is always positive, and the surface integral of this dot product over the disk is always positive.

However, the divergence of the vector field f is 2xy, which is not zero. According to the Divergence Theorem, the flux of a vector field through a closed surface is equal to the triple integral of the divergence of the vector field over the enclosed volume. Since the disk is an open surface, we cannot use the Divergence Theorem directly.

Instead, we can use the fact that the flux through any closed surface that encloses the disk is zero. This is because the flux through any closed surface that encloses the disk must be equal to the flux through the disk itself plus the flux through the rest of the closed surface, which is zero because the vector field f is zero everywhere outside the disk.

Therefore, the flux of the vector field f=(x² y²)k through the disk of radius 10 in the xy-plane, centered at the origin and oriented upward, is zero.

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Answer:

44 words

Step-by-step explanation:

Step one:

given data

The dimension is

7cm long and = 0.07mm

5mm in diameter

radius= 2.5mm

The volume = πr^2h

Volume= 3.142*2.5^2*0.07

Volume= 3.142*6.25*0.07

volume= 1.4 mm^3

If 1.4 mm^3 will write 310 words on an average

1/5(0.2mm^3) liter will write x

cross multiply we have

x= 0.2*310/1.4

x=62/1.4

x=44 words

Answer:

  $1.40 per pound

Step-by-step explanation:

You want to know the value that is 20% less that $1.75 per pound.

The new price can be figured a couple of ways.

You can figure the amount of change, then subtract that.

  $1.75 - 20%×1.75 = $1.75 -0.35 = $1.40

Or, you can figure the percentage that the reduced price is of the original.

  $1.75 -20%×1.75 = $1.75(1 -0.20) = $1.75(0.80) = $1.40

The price of oranges this week is $1.40 per pound.

Statement (b) is equivalent to the statement that a set of vectors (V1, Vp) is linearly independent.

To determine if a set of vectors (V1, Vp) is linearly independent, we need to consider various conditions.

Statement (a) states that a linear combination of V1, Vp is the zero vector if and only if all weights in the combination are zero. This condition is true for linearly independent sets, as no non-trivial linear combination of vectors can result in the zero vector.

Statement (b) asserts that the vector equation x1V1 + x2V2 + ... + x pVp = 0 has only the trivial solution, where x1, x2, ..., xp are the weights. This is precisely the definition of linear independence. If the only solution is the trivial solution (all weights being zero), then the set of vectors is linearly independent.

Statement (c) contradicts the definition of linear independence. If there exist weights, not all zero, that make the linear combination of V1, Vp equal to the zero vector, then the set of vectors is linearly dependent.

Statement (d) and (e) are equivalent and also represent linear independence. If the system with the augmented matrix [A 0] has no free variables or if the matrix equation Ax = 0 has only the trivial solution, then the set of vectors is linearly independent.

Statement (f) is also equivalent to linear independence. If all columns of the matrix A are pivot columns, it means that there are no redundant columns, and hence, the set of vectors is linearly independent.

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By graphing the system of equations, we can see that the solution is (4, -2)

Here we want to solve the system of equations:

y = (-3/2)*x + 4

y = (1/2)*x - 4

To solve this graphically, we just need to graph both equations on the same coordinate axis and find the point where the lines intersect.

The graph can be seen on the image at the end.

We can see that the solution is (4, -2)

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Step-by-step explanation:

1 row has 26 tomato plants,

1 row → 26 plants

you have been asked about the total tomato plants Rami has in his garden. you have been given the number of rows (34), and the number of plants per row (26) , thus:

1 row → 26 plants

34 rows → 26 × 34

= 884 plants.

have a good day!

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle described as follows:

Hence the angle is found as follows:

\(\cos{\theta} = \frac{13}{18}\)

\(\theta = \arccos{\left(\frac{13}{18}\right)}\)

\(\theta = 43.76^\circ\)

Hence option D is correct.

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Answer:

46.24

Step-by-step explanation:

:)

A perpendicular bisector is a segment that cut a line in an angle of 90° and cut the line into two equal parts, So a bisector for each side of the triangle is:

Where the green line is a perpendicular bisector that cut the side WY, the red line is a perpendicular bisector that cut the line YX, and the yellow line is a perpendicular bisector that cut the line WX.

To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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The scale factor for triangle ABC to A'B'C' is 2

The complete question is in the attached image

From the attached image, we have the following corresponding sides

AC = 4 cm

A'C' = 8 cm

The scale factor is then calculated as:

Scale factor = A'C'/AC

This gives

Scale factor = 8cm/4cm

Evaluate the quotient

Scale factor = 2

Hence, the scale factor for triangle ABC to A'B'C' is 2

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Taxpayers in California may need to calculate the itemized deduction limitation when filing their state income taxes. This limitation sets a cap on the amount of itemized deductions that can be claimed, based on the taxpayer's federal adjusted gross income (AGI) and other factors.

Calculating the California itemized deduction limitation involves several steps and considerations to ensure compliance with the state tax regulations. To calculate the California itemized deduction limitation, taxpayers should first determine their federal AGI. This can be found on their federal tax return. Next, they need to identify any federal deductions that are not allowed for California state tax purposes, as these will be excluded from the calculation. Once the applicable deductions are determined, taxpayers must compare their federal AGI to the threshold specified by the California Franchise Tax Board (FTB). The limitation is typically a percentage of the federal AGI, and the percentage may vary depending on the taxpayer's filing status. If the federal AGI exceeds the threshold, the itemized deductions will be limited to the specified percentage. Taxpayers should consult the official guidelines and instructions provided by the California FTB or seek professional tax advice to ensure accurate calculation and compliance with the state tax regulations. Calculating the California itemized deduction limitation is an important step in accurately reporting and calculating state income taxes. It helps determine the maximum amount of itemized deductions that can be claimed, ensuring that taxpayers adhere to the tax laws and regulations of the state.

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The area of each polygon in this problem is given as follows:

a) 252 square units.

b) 65 square units.

For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:

A = 12 x 21 = 252 square units.

For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:

A = 0.5 x 13 x 10 = 65 square units.

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The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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Answer:

-2

Step-by-step explanation:

We are given the following;

Plug the value of y and x into the expression;

\(\implies 2x - y\)

\(\implies 2(-3) - (-4)\)

Simplify the expression as needed;

\(\implies 2(-3) - (-4)\)

\(\implies -6 + 4\)

\(\implies \boxed{-2}\)

Therefore, -2 is the value of 2x - y, when x = -3 and y = -4.

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The probability expression is \(\frac{^{6}C_2}{^{20}C_2}\)

The given parameters are

The total number of people is

n = 20

2 of the 20 people are to be selected.

So, the number of selection is

\(n = ^nC_r\)

This gives

\(n = ^{20}C_2\)

The expression that represents both students being sophomore is

\(n = ^{6}C_2\) --- i.e. 2 students selected from 6

The probability is then represented as:

\(\frac{^{6}C_2}{^{20}C_2}\)

Hence, the probability expression is \(\frac{^{6}C_2}{^{20}C_2}\)

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Answer:

a

Step-by-step explanation:

edge 2023

17+{11-[15-7]+1

17+{11-8}+1

17+3+1

21