Which of the following will have a unit rate of 50 miles per hour

The absolute maximum is 9 at t = 2.

f has an absolute minimum at (t,y) = (-2,-3) and an absolute maximum at (t,y) = (2,9).

The derivative of the function is:

f'(t) = 3

Since f'(t) is a constant, there are no relative extrema.

To find the absolute extrema, we need to evaluate the function at the endpoints of the domain and at any critical points (where the derivative is zero or undefined).

Endpoints:

f(-2) = 3+3(-2) = -3

f(2) = 3+3(2) = 9

There are no critical points since the derivative is constant and never equals zero or is undefined.

Therefore, the absolute minimum is -3 at t = -2 and the absolute maximum is 9 at t = 2.

f has an absolute minimum at (t,y) = (-2,-3) and an absolute maximum at (t,y) = (2,9).

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The Olson family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.

They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:

(1/2 gallon) ÷ (3 days) = 1/6 gallon per day

A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:

US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.

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Answer:

D. 20 ÷ 6 − 4

E. 1/6(20 − 24)

F. (20−24) ÷ 6

Step-by-step explanation:

6(x + 4) = 20

6(x) + 6(4) = 20

6x + 24 = 20

     - 24  - 24

6x = -4

/6    /6

x = -4/6 or x = -2/3

D. 20 ÷ 6 − 4

20/6 - 4

20/6 - 24/6

-4/6 = -2/3

E. 1/6(20 − 24)

1/6(-4)

-4/6 = -2/3

F. (20 − 24) ÷ 6

- 4 / 6

-4/6 = -2/3

Hope this helps!

Answer:

$56.00

Step-by-step explanation:

Check:

1/4(56) + 3/7(56) + 18 =

14 + 24 + 18 = 56

See the picture below.  I wanted to figure out what fraction of the paycheck was the 18.

I took 1 which is the whole pay check and subtracted out the fractions that I knew were spent 1/4 and 3/7.   That left me with 9/28.  So I knew 9/28 of the paycheck was 18 dollars.  I drew out 28 squares.  9 of those squares was worth $18.  That meant that each square was worth $2.  2 x 28 = 56

The geometric description of the subspace W of R³ is a line. This can be observed from the given set W, which consists of three-dimensional vectors of the form (5t, t, t), where t is a real number.

All the vectors in W have the same x-component (5t), indicating that they lie on a line parallel to the y-z plane. The y-component and z-component (both t) vary freely, but they are always equal. Therefore, W forms a one-dimensional subspace, which can be visualized as a line in three-dimensional space.(b) To find a basis for the subspace W, we need to identify linearly independent vectors that span the subspace. In this case, a suitable basis for W would be {(5, 1, 1)}. This single vector is sufficient to generate all other vectors in W through scalar multiplication.

(c) The dimension of the subspace W of R³ is 1. This can be determined by the number of linearly independent vectors in the basis for W, which is only one. The subspace W is one-dimensional, consisting of all vectors that can be obtained by scaling the basis vector {(5, 1, 1)} with a real number.

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Answer:

4.341 or 369÷85

Step-by-step explanation:

Answer:

x > 1

Step-by-step explanation:

3 - 2x < 1

- 2x < 1 - 3

- 2x < - 2

Divide - 2 on both sides,

- 2x / - 2 > - 2 / - 2

x > 1

Answer:

x>1

Step-by-step explanation:

Hence, x>1

Answer:

x = 48 degrees

Step-by-step explanation:

This triangle is an isosceles which means that two of the angles are the same and all triangles add up to 180 degrees so we take the two angles we know and add them

66 + 66 = 132

Then we subtract that number from 180 to find the third angle

180 - 132 = 48

Answer:

x = 48°

Step-by-step explanation:

Since the legs of the triangle are congruent then the base angles are congruent, both 66° , then

x = 180° - (66 + 66)° = 180° - 132° = 48°

Answer:

f(x)=2x-1

(the first option)

Step-by-step explanation:

Linear functions always take the form f(x)=mx+c, where m is the slope and c is the y-intercept.

The y-intercept is the value of y when x is 0, and we can see from the table that when x=0, y=-1. So our value for c is -1.

The slope can be found using the formula \(\frac{y2-y1}{x2-x1}\), where (x1,y1) and (x2,y2) represent two points that satisy the funciton. Let's talk the first two sets of values for the table to use in this formula -  (-5,-11) for (x1,y1) and (0,-1) for (x2,y2) :

m=  \(\frac{y2-y1}{x2-x1}\) = \(\frac{-1-(-11)}{0-(-5)}\)=\(\frac{-1+11}{0+5}\)=\(\frac{10}{5}\)=2

So now we know m=2 and c=-1. Subbing this into f(x)=mx+c and we get:

f(x)=2x-1

Answer:

f(x)=2x-1

Step-by-step explanation:

for each inout of x, if you multiply it by 2 and subtract 1, you get y. :)

Answer:

25

Step-by-step explanation:

When dividing by fractions, you can multiply by the opposite reciprocal.

5 ÷ 1/5

5 x 5/1

25

Answer:

∠ CDB = 43°

Step-by-step explanation:

Angles subtended at the circumference by the same arc are congruent.

The arc CB subtends both ∠ CAB and ∠ CDB , thus

∠ CDB = ∠ CAB = 43°

There are 365 days in a year, but only 52 weeks in a year.

The number of weekdays in a year can be calculated using a simple formula. The formula is (365 - (52 x 2))/7. This means that there are an average of 365/7 = 52.14 weeks per year. Of those weeks, 5 of them contain 7 days each, for a total of 35 days. The remaining 17 days are spread out throughout the year and are known as weekdays. This means that there are a total of 365 - 35 = 330 weekdays in a year. This formula takes into account the two weekends, which are 52 Saturdays and Sundays, in a year and divides the remaining days by 7 to determine the weekdays (Monday-Friday). In a year, there are 261 weekdays. This can be further broken down into 52 weeks with 5 days each. To calculate the number of weekdays in any given year, the same formula can be applied. For instance, a 2021 year would be (365 - (52 x 2))/7 = 261 weekdays. This formula is useful in planning for the number of days available for work or school in a year.

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The correct APA style for the statistical conclusion that Dr. Tebbetts should make is option B. z(N=50) = 2.27, p > .05.

Here's why:

Dr. Tebbetts is testing whether the mean creativity score of people who read fantasy novels is significantly different from the established average of 25 on the Alternate Uses Test. He gathered a sample of 50 participants and found that their mean creativity score was 33.

Since the population standard deviation is known, we can use a z-test to test the hypothesis.

The formula for the z-test is:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Substituting the values given in the problem, we get:

z = (33 - 25) / (10 / sqrt(50))

z = 2.83

The critical value of z for a two-tailed test at alpha level 0.05 is 1.96. Since our calculated z-value is greater than the critical value, we reject the null hypothesis and conclude that people who read fantasy novels have higher personal creativity as measured by the Alternate Uses Test.

The correct APA style for reporting this conclusion is:

z(N=50) = 2.27, p > .05, indicating that people who read fantasy novels have significantly higher personal creativity as measured by the Alternate Uses Test compared to the established average.

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The roots of the given equation are √5, - √5, 2i, and - 2i      

The values of a variable for which the provided polynomial equals zero are referred to as a polynomial's roots. If n is the root of a polynomial p(x), then p(n) will be equal to zero.

Here we have

x⁴- x²- 20 = 0  

To find the roots of the Equation factorize the given equation

=>  x⁴- x²- 20 = 0    

Let t = x²

=>  t²- t - 20 = 0  

Split the middle term

=> t²- 5t + 4t - 20 = 0  

=> t(t - 5) + 4(t - 5) = 0

=> (t - 5) (t + 4) = 0

=> (t - 5) = 0   and  (t + 4) = 0

Take t - 5 = 0

=>  t = 5  =>  x² = 5

=> x = ±√5          

Take (t + 4) = 0

=> t = - 4 => x² = -4

=> x = ± √- 4                  

=> x = ± 2i         [ ∵ - 1 = i² ]

Therefore,

The roots of the given equation are √5, - √5, 2i, and - 2i                    

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Answer:

Vertex: (-1,9) is true

Sample Points: (2,4) is not true

Step-by-step explanation:

Given

\(Vertex: (-1,9)\)

\(Sample\ Points: (2,4)\)

Required

Determine if the vertex and sample points exist for \(y= -2(x+1)\²+9\)

Solving for the vertex:

\(y= -2(x+1)\²+9\)

Writing the given equation in the form:

\(y = ax^2 + bx + c\)

Expand the bracket

\(y= -2(x+1)(x+1)+9\)

Open Bracket

\(y= -2(x+1)(x+1)+9\)

\(y = -2(x^2 + 2x + 1) + 9\)

Open bracket

\(y = -2x^2 - 4x -2 + 9\)

\(y = -2x^2 - 4x +7\)

Solve for x using:

\(x = \frac{-b}{2a}\)

Where \(a = -2\); \(b = -4;\)

So:

\(x = \frac{-(-4)}{2 * (-2)}\)

\(x = \frac{4}{-4}\)

\(x = -1\)

Substitute -1 for x in \(y = -2x^2 - 4x +7\)

\(y = -2(-1)^2 -4(-1) + 7\)

Simplify all brackets

\(y = -2(1) + 4 + 7\)

\(y = -2 + 4 + 7\)

\(y = 9\)

Hence;

The vertex (x,y) is (-1,9)

This is true

Checking sample points: \((2,4)\)

In this case; \(x = 2\) and \(y = 4\)

Substitute \(x = 2\) and \(y = 4\) in \(y= -2(x+1)\²+9\)

\(4 = -2(2 + 1)^2 + 9\)

\(4 = -2(3)^2 + 9\)

\(4 = -2 * 9 + 9\)

\(4 = -18 + 9\)

\(4 \neq -9\)

Hence;

This sample points \((2,4)\) does not exist

Step-by-step explanation:

To find the area of the whole mosaic, we need to multiply the length by the width. In this case, the mosaic is a 7 x 7 array of square tiles, and each tile is 1 ft long.

Area = Length × Width

Area = 7 ft × 7 ft

Area = 49 square feet

So, the area of the whole mosaic is 49 square feet.

Answer:

There are 31 quarters.  

There are 47 dimes.  

Step-by-step explanation:

let q = number of quarters

let d = number of dimes

d = 16 + q      

.10d + .25q = 12.45  Multiply through by 100

10d + 25q = 1245       Substitute 16 + q for d

10(16 + q) + 25q = 1245    Distribute the 10

160 + 10q + 25q = 1245  Combine like terms

160 + 35q = 1245  Subtract 160 from both sides

160 - 160 + 35q = 1245 - 160

35q = 1085  Divide both sides by 35

q = 31

There are 31 quarters.    

Substitute 31 for q

d = 16 + 31

d = 47

There are 47 dimes.

Check:

d = 16 + q

47 = 16 + 31

47 = 47  Checks

.10d + .25q = 12.45

.10(47) + .25(31) = 12.45

4.70 + 7.75 = 12.45

12.45 = 12.45  Checks.

Answer:

There are 31 quarters and 47 dimes.

Step-by-step explanation:

To solve this problem, we can create and solve a system of equations.

Define the variables:

Values of the coins:

Given a coin bank contains $12.45 in quarters and dimes:

Given there are 16 more dimes than quarters:

Therefore, the system of equations that represents the problem is:

\(\begin{cases} 0.25q + 0.10d = 12.45\\d = q + 16\end{aligned}\)

Substitute the second equation into the first equation to eliminate d:

\(0.25q+0.10(q+16)=12.45\)

Solve the equation for q to find the number of quarters:

\(\begin{aligned}0.25q+0.10(q+16)&=12.45\\0.25q+0.10q+1.6&=12.45\\0.35q+1.6&=12.45\\0.35q&=10.85\\q&=31\end{aligned}\)

Therefore, there are 31 quarters.

Substitute the found value of q into the second equation and solve for d:

\(\begin{aligned}d &= q + 16\\&= 31 + 16\\&= 47\end{aligned}\)

Therefore, there are 47 dimes.

Answer:

x = -12

Step-by-step explanation:

Let x be the number.

The product of 5 and x increased by 9 is equal to 15 less than 3 times x.

5x + 9 = 3x - 15.

We can isolate x, getting (5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

The required number is -12.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.

Let x be the number.

Establishing the equation,

5x + 9 = 3x - 15.

(5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

Hence, the number is -12

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Answer: 16.8

Step-by-step explanation: if x= 15 and y =12 we know that y =.8 of x or 4/5 of x.  Knowing this we can divide x (21) by 5 and get 4.2.  We can then multiply this and get 16.8 which is 4/5 of x(21).  y=16.8

The Number of small and large boxes shipped are 12 and 15 respectively.

Large boxes:

Volume = 18 cubic feets

Let number of large boxes = a

Small boxes :

Volume = 6 cubic feets

Number of small boxes = b

Total volume shipped = 342 cubic feet

Total boxes shipped = 27

Writing as a system of equation :

a + b = 27

18a + 6b = 342...........equation 1

6a + 6b = 162............equation 2

Subtracting equation 2 from equation 1

18a + 6b - (6a + 6b) = 342 - 162

18a 6a + 6b - 6b = 180

12a = 180

a = 180/12

a = 15

a + b = 27

b = 27 - 15

b = 12

Hence

Number of large boxes = 15 and Number of small boxes =12

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Answer:

30

Step-by-step explanation:

1L=1000

6L=?

6×1000= 6000ML

a soup can hold 200ML

6000/200

= 30

Step-by-step explanation:

Jaden has made a total of 6000 ML (6 L x 1000 ML/L = 6000 ML) of corn soup.

To find out how many bowls he can fill, we need to divide the total amount of soup by the amount of soup that can fit in one bowl.

6000 ML ÷ 200 ML/bowl = 30 bowls

Therefore, Jaden can fill 30 bowls with his 6 L of corn soup.

Answer:

Below

Step-by-step explanation:

y/40 = 5/8    multiply both sides of the equation by 40

y = 40 * 5/8 = 200/8 = 25

Answer:

here are formulas you havent clearly said how much degrees

Answer:

it is decreasing

Step-by-step explanation:

hope it helps study hard!!!!

Answer:

Here,

D(1,2)

Now,

(X+1 , y-3)

D' (1+1 , 2-3)

D'( 2, -1)

Hope this helps...

Good luck on your assignment..

I'll answer the other three just in case :)

original : A = ( -6 , 2 )

formula : ( x+1 , y-3 )

( -6 + 1 ) , ( 2 - 3 )

A = ( -5 , -1 )

_________________

original : B = ( -5 , 4 )

formula : ( x+1 , y-3 )

( -5 + 1 ) , ( 4 - 3 )

B = ( -4 , 1 )

_________________

original : C = ( -2 , 4 )

formula : ( x+1 , y-3 )

( -2 + 1 ) , ( 4 - 3 )

C = ( -1 , 1 )

To schedule the tasks on two machines in a way that minimizes the time for both machines to finish their tasks, we can use the "Longest Processing Time" algorithm.

1. Sort the list of times in descending order: (18, 16, 12, 8, 6).

2. Assign the tasks one by one to the machine with the currently shorter total processing time.

  Machine 1: (18) -> Total time: 18

  Machine 2: (16) -> Total time: 16

  Machine 1: (12) -> Total time: 30

  Machine 2: (8) -> Total time: 24

  Machine 1: (6) -> Total time: 36

3. The best time for both machines to finish their tasks is the maximum of the two total times: 36.

the correct answer is:

D) 35 (Incorrect)

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