bob can drive 50 miles in 40 minutes. sam can drive 90 miles in 105 minutes. if $d$ is the time (in hours) it takes for bob to drive 120 miles and $e$ (in hours) is the time it takes for sam to drive 120 miles, what is the $|d-e|$? express your answer as a decimal to the nearest hundredth.

The Wronskian of the given vector functions is [tex]5t^2-t[/tex]. So the option e is correct.

In the given question, we have to find the Wronskian of the following vector functions:

[tex]u(t) = \left [ \begin{matrix}3t - 1\\ -2t\end{matrix} \right ][/tex]  and [tex]u(t) = \left [ \begin{matrix}-2t + 1\\ 3t\end{matrix} \right ][/tex]

Thomas Muir gave the Wronskian determinant its name after Józef Hoene-Wroski introduced it in 1812. It is applied to the study of differential equations, and in some cases, it can reveal linear independence among a group of solutions.

Wronskian vector functions = [tex]\left | \begin{matrix}3t - 1 & -2t\\ -2t + 1 & 3t\end{matrix} \right |[/tex]

Now solving the vector

Wronskian vector functions = (3t-1)3t - (-2t)(-2t+1)

Wronskian vector functions = [tex]9t^2-3t + 2t(-2t+1)[/tex]

Wronskian vector functions = [tex]9t^2-3t -4t^2+2t[/tex]

Wronskian vector functions = [tex]5t^2-t[/tex]

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Answer:

answer is c

Step-by-step explanation:

g(x)=2√x-6

Answer:

For example, a spacecraft leaving the surface of Earth needs to be going 7 miles per second, or nearly 25,000 miles per hour to leave without falling back to the surface or falling into orbit.

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

2x + 4y - 12 = 0 ( subtract 2x - 12 from both sides )

4y = - 2x + 12 ( divide through by 4 )

y = - [tex]\frac{2}{4}[/tex] x + [tex]\frac{12}{4}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation of the parallel line

to find c substitute (- 2, 5 ) into the partial equation

5 = - [tex]\frac{1}{2}[/tex] (- 2) + c = 1 + c ( subtract 1 from both sides )

4 = c

y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of parallel line

Answer:

y = -(1/2)x + 4

Step-by-step explanation:

Lets look for an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = zero).  Lets rewrite the given equation to conform to this format:

2x+4y-12=0

4y = -2x+12

y = -(2/4)x +(12/4)

y = -(1/2)x +3

This line has a slope of -(1/2).  Parallel lines have the same slope as the reference line.  So the new line will also have a slope of -(1/2) and we can write the new line equation as:

 y = -(1/2)x + b

Any line with a slope of -(1/2) will be parallel.  Any value of b is acceptable.  But we want this line to intersect the point (-2,5), so we need to pick a value of b that forces the line through this point.  To find the value of b to make that happen, enter the point (-2,5) in the parallel line equation from above:

y = -(1/2)x + b

5 = -(1/2)*(-2) + b  for point (-2,5)

5 = 1+b

b = 4

The parallel line that intersects (-2,5) is

  y = -(1/2)x + 4

See the attached graph.

The values of such following quantities are (A), 1.345, (B), 1.761, (C), 1.706, (D), 1.676, and (E), 2.678 according to the stated statement.

Any logical combining of a number, changeable, or other quantity is referred to as a quantity in a mathematical equation. For example, the equation x + 6 = Fifteen denotes four different numbers: 6, 15, x, and the sum of x plus 6, or x + 6. The concept is that just being exposed to something increases our likelihood of like it more. We are far more likely to enjoy someone or something the more often we interact with them.

The following table lists the quantities of the quantities:

(A). Here,

[tex]$\alpha=0.10, d f=14$$t_{0.10,14}=1.345$[/tex]

(B). Here,

[tex]$\alpha=0.05, d f=14$$t_{0.05,14}=1.761$[/tex]

(C). Here,

[tex]$\alpha=0.05, d f=26$$$t_{0.05,26}=1.706$$[/tex]

(D). Here,

[tex]$\alpha=0.05, d f=50$$$t_{0.05,50}=1.676$$[/tex]

(E). Here,

[tex]$\alpha=0.005, d f=50$$$t_{0.005,50}=2.678$$[/tex]

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The data from the 9 students represents the number of hours that they spend on the computer on a typical day. It forms a distribution known as a frequency distribution.

A frequency distribution is a tabular representation of data that shows how often each value or set of values of a variable occurs in a data set. The data set is typically divided into a number of classes or bins, and the frequency of each class is recorded.

In this case, the data represents the number of hours that 9 students spend on the computer on a typical day. Each student is represented by one data point, and the frequency of each value (the number of hours) is recorded.

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Answer:

54 nhcuioogffhuivkoov89

We use the parallelogram-shaped sponge to create the T-shirt design. The area of the design is 66 square inches. 22 times we will use the sponge to create the design.

Parallelogram:

The term "parallelogram" comes from the Greek word "parallelogram on" which means "surrounded by parallel lines". A parallelogram is a quadrilateral bounded by parallel lines. A shape with opposite sides parallel and equal. Parallelograms fall into three main types: squares, rectangles, and rhombuses, each with its own characteristics.

According to the Question:

Area of the parallelogram-shaped sponge = base × height

                                                                        = 3 inches × 1 inch

                                                                        = 3 square inches

And,

Area of design = 66 square inches

Now,

Number of times to use the sponge to create the design

= Area of design ÷ Area of parallelogram-shaped sponge

= 66 square inches ÷ 3 square inches

= 22 Times

Therefore,

The sponge can be used 22 times to create the design.

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The information shows that f(4)=f(30) tells us that the weight of a particular female panda at 4 years old is the same as her weight at 30 years old.

It is a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

In this case, Dr. Coleman is a zoologist who studies giant pandas. Giant pandas are very tiny when they are born but grow to be quite large. The function f(x) gives the weight, in pounds, of a particular female panda when she was x years old.

The function illustrated shows that the weights are the same.

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The number of different ways can a person choose eight cookies will be 1,680.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

At a cookie shop, four different kinds of cookies are sold: chocolate chip, macaroon, peanut butter, and white chocolate.

Then the number of different ways can a person choose eight cookies will be given as,

⁸P₄ = 8! / (8 - 4)!

⁸P₄ = 8 x 7 x 6 x 5 x 4! / 4!

⁸P₄ = 1,680

The number of different ways can a person choose eight cookies will be 1,680.

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Answer: 960cm^2

Step-by-step explanation: 12 x 8 = 96 x 10 = 960

Answer:

a) 1728 [tex]cm^{3}[/tex]

b) 512 [tex]cm^{3}[/tex]

c) 1000 [tex]cm^{3}[/tex]

Step-by-step explanation:

(I think your question is ...a little mixed up as a square has same length for all of its respective sides. So I will attempt to do them a little differently as I believe the question must have had three different sub questions)

a) [tex]V = s^{3}[/tex]

   "s" here represents the respective length for the sides.

The answer for if a side was 12 centimeters, then the volume would be

[tex]V = 12^{3}[/tex]

Which would give us a volume of 1728 [tex]cm^{3}[/tex]

b)[tex]V = s^{3}[/tex]

   "s" here represents the respective length for the sides.

The answer for if a side was 8 centimeters, then the volume would be

[tex]V = 8^{3}[/tex]

Which would give us a volume of 512 [tex]cm^{3}[/tex]

c)[tex]V = s^{3}[/tex]

   "s" here represents the respective length for the sides.

The answer for if a side was 10 centimeters, then the volume would be

[tex]V = 10^{3}[/tex]

Which would give us a volume of 1000 [tex]cm^{3}[/tex]

The set of ordered pairs share the same reference angle is (- 1/2, -√3/2 ), (1/2,√3/2 )

The term ordered pair in math is defined as  a composition of the x coordinate  and the y coordinate by having two values written in a fixed order within parentheses.

Here we have know that the reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the position of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

So, based on these condition in order to find the reference angles here we must define that cos will remain cos only and sin will remain sin only there may be only changes in sign.

On the other hand all the ordered pairs given, here we find that I, II, and Iv there is a switch over form cos to sine and sin to cos.  

Based on these condition option (3) is correct one.

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Based on the data all the answers are given below.

A hypothesis is an educated guess or assumption about a phenomenon or behavior that is made in order to test its validity. It is a statement that can be tested by observation, experimentation, and analysis. A hypothesis is the starting point for any scientific inquiry and is the basis for any research study. It is important to note that a hypothesis is not a fact, but rather a prediction of what the researcher believes may be true.

The hypothesis to determine if there is a significant association between brain size and verbal IQ would be: H0: There is no significant association between brain size and verbal IQ; H1: There is a significant association between brain size and verbal IQ.

b) The MiniTab regression analysis results are: t-value = 2.817, p-value = 0.006.

c) Based on the results of the MiniTab regression analysis, the p-value (0.006) is less than 0.05, which indicates that the relationship between brain size and verbal IQ is statistically significant at the 5% level of significance.

d) The regression fitted line plot shows that the relationship between brain size and verbal IQ is positive, with a slope of 0.021. The R2 value is 0.088, which indicates that 8.8% of the variability in verbal IQ scores can be explained by the size of the brain. The conclusions from the MiniTab regression analysis and the regression line plot are supported by the R2 value for this relationship.

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Answer: 0

Step-by-step explanation:

We know cos π/3 = 1/2.

Therefore, a = π.

Now, sin π is 0 if you remember the sin graph.
Therefore, answer is 0.

Answer:

2:5

I am not sure if it is correct answer

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables

What is constant?

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Therefore ,as a  result unitary method they just have sufficient flour to complete their recipes because they require roughly 4.08 c of wheat and only have 4 c.

In order to solve a problem using the unitary approach, you must first determine how much of a small subset there is, then multiply that number by two. Simply expression, the unit approach is utilized to isolate a common programming value from the a given set. For instance, 40 pens cost 400 rupees ($1.01) each, or Rs. It's possible that the method utilized to accomplish this will be governed by just one country. Each every thing has a distinctive quality. Its reciprocity and integration capabilities are the same (mathematics, algebra).

Here,

Given : Flour is available in 4c.

Eliza requires 2 1/3 cups of flour.

1 3/4 c of flour is required by Jaime.

All mixed numbers must first be converted into fractions before we can total the two amounts to determine if we have enough flour.

=> 2* 1/3 =7/3

=> 1* 3/4 = 7/4

Now, we add.

=> 7/3 +7/4

=> 28+21/ 12

=> 49/12

=> 4.08

As a result, they just have sufficient flour to complete their recipes because they require roughly 4.08 c of wheat and only have 4 c.

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The surface area of the prism in this problem is given as follows:

46 cm².

A surface area is given by the sum of all the areas that compose the figure.

The prism in this problem is composed as follows:

The area of the square is given by the side squared, hence:

As = 2² = 4 cm².

The area of a right triangle is given by half the multiplication of the side lengths, hence:

At = 2 x 0.5 x 2 x 7 = 14 cm².

The area of a rectangle is given by the multiplication of the dimensions, hence:

Ar = 2 x 2 x 7 = 28 cm².

Hence the surface area of the prism is then obtained as follows:

S = As + At + Ar

S = 4 + 14 + 28

S = 46 cm².

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Answer: 8

Step-by-step explanation:

We can interpret this as a rectangle with dimensions [tex]5-1=4[/tex] by [tex]a-2[/tex].

[tex]4(a-2)=24\\\\a-2=6\\ \\ a=8[/tex]

An inequality for the statement "The sum of two numbers is less than 2." is x + y < 2.

An inequality for the statement "If we subtract the second number from the first, the difference is greater than 1" is x - y > 1.

The two numbers are 1/2 and 3/2 or 0.5 and 1.5.

In order to write a system of inequalities to describe this situation, we would assign variables to the first number and second number respectively, and then translate the word problem into algebraic equation as follows:

Based on the information provided, we can logically deduce that there are two (2) system of inequalities with respect to the constraints for this situation.

Sum of two numbers is less than 2 ⇒ x + y < 2.

The difference is greater than 1 when we subtract the second number from the first number;

x - y > 1

In conclusion, a graph that represents system of inequalities is shown in the image attached below.

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According to the given possibility the event of more than 4 elk surviving to adulthood is not surprising and the appropriate probability is 0.1402.

Here we have given that  it be for more than 4 elk in the sample to survive to adulthood.

Then the probability is calculated by using the binomial probability,

And here we have to use the addition rule for mutually exclusive event, then we get,

=> P(AUB) = P(A or B) = P(A) + P(B)

At the possibility of k = 5 we have the binomial probability to be evaluated as follows:

=> P(X = 5) = 21 (0.44)⁵ (0.56)² ≈ 0.1086

At the possibility k = 6 then the binomial probability to be calculated as,

=> P(X = 6) = 7(0.44)⁶ (0.56)¹ ≈ 0.0284

Finally at the value of k = 7 then the binomial probability to be evaluated as,

=> P(X = 7) = 1 (0.44)⁷(0.56)° ≈ 0.0032

Therefore the two different numbers of successes are impossible on same simulation is by applying the addition rule for mutually exclusive events is calculated as,

=> P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)

=> 0.1086 +0.0284 + 0.0032

=> 0.1402

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The factor by which radius of the sphere be changed is 1.91, which is calculated by applying the concepts of surface area and volume on the assigned problem.

What do you mean by volume?

Volume is defined as the 3D measurement that deals with the amount of space required by an object. It is always calculated in cubic units. Its basic unit is cubic metre.

Let the radius and volume of sphere be r and v respectively

Volume of sphere, v = 3.16 × ( r )3            —- 1

Now, changed radius, R = xr

Where x is the factor, we need to calculate

Changed volume, V = 7v = 3.16 × ( R )3          -— 2

From equations 1 and 2, we get,

7v / v = ( R )3 / ( r )3

7 = ( xr )3 / ( r )3

7 = (x)3 × 1

Taking cube root both sides,

x = 1.913

Hence, the factor by which radius of the sphere be changed is 1.91.

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A total of 14 prisms can be accommodated and their total volume would be 504 in³.

Step-by-step explanation:

First, we have to figure out the angle at the vertex.  For that, we need the Law of cosines. c²=a²+b²-2ab*cos(c)

4²=9²+9²-2(9)(9)cos(c)

16=81+81-162cos(c)

16-81-81=-162cos(c)

-142=-162cos(c)

-142/-162=cos(c)

.9=cos(c)

By using the inverse, we get:

cos^-1(.9)=c

25.8=c

Now that we know c=25.8, we can figure out how many cheese wedges there would be in the circle.

36÷25.8=14

Now we figure out volume.

1/2(9)(4)(2)=36 in³

Therefore, A total of 14 prisms can be accommodated and the total volume would be 14x36=504 in³.

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Answer:

We know that there are 67 students performing in the middle school's production of "Beauty and the Beastly." and 49 of them are 7th and 8th graders.

We can write a proportion to find the percent of 6th grade students in the play:

6th grade students / Total students = s / 100

We know that 49 of the students are 7th and 8th graders, so the number of 6th grade students is 67 - 49 = 18.

Now we can substitute the values in the proportion and solve for s:

18 / 67 = s / 100

To find s, we can cross-multiply and divide:

18 * 100 = 67 * s

1800 = 67 * s

s = 1800 / 67

s = 26.87

Rounding to the nearest tenth of a percent: 26.9 %

So, the percent of 6th grade students that are in the play is 26.9%.

If the nth term of an arithmetic progression - ap is 4n + 1, then it's  third term is 13

The term in the third is solved using the rule of the sequence

The the formula for the nth term as

= 4n + 1

for n = position of term = 3

solving for the third term

= 4n + 1

substituting known variables

= 4 * 3 + 1

= 12 + 1

= 13

the third term of the sequence is 13

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This depends on the size of the room. If the room is an average sized bedroom, it will likely take him around 4 to 6 hours to paint the entire room.

1. The first step is to identify the size of the room.

2. Once the size is identified, it is necessary to calculate the total amount of time it would take to paint the entire room.

3. The time it takes to paint a room is dependent on the size of the room, the type of paint used, and the quality of the painter.

4. If the room is an average size bedroom and Marcus is an experienced painter, it should take him between 4 to 6 hours to paint the entire room.

This depends on the size of the room. If the room is an average sized bedroom, it will likely take him around 4 to 6 hours to paint the entire room.

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Answer:

Step-by-step explanation:

Hello, I am the same guy that told you that your previous question had no image.

Ok, so slope formula is m = (y₂ - y₁)/(x₂ - x₁)

Two coordinates on the given line is (-2 , 1) and (3, 5)

Just substitute the values there.

m = (5 - 1)/(3 + 2)

= 4/5

slope/m = 4/5

Pls mark as brainliest. I really need for no apparent reason. Cheers

Answer:im so sorry

Step-by-step explanation:

Since 3 doughnuts is more expensive than and closer to pricing at 2, Sally can only eat 2 doughnuts.

In economics, marginal utility refers to the addition of pleasure or benefit utility a buyer gets by purchasing an extra unit of a good or service. When marginal utility is greater than or equal to price, total utility is maximized. Minimum Utility MU It speaks about increased utility as a result of consuming an extra unit of a commodity.

The change in overall utility is known as marginal utility.

When she accepts two donuts, her marginal utility is three (8–5=3).

Her marginal utility for eating three donuts is 1 (9 – 8).

Since 3 is more expensive than and closer to price at 2, she should only eat 2 doughnuts.

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We can use the incenter to find the best location, because the point that is equidistant to all sides of a triangle is called the incenter.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

The incenter is equidistant from the sides of the triangle and the point that is equidistant to all sides of a triangle.

Hence, We can use the incenter to find the best location, to place a streetlight so it was equidistant from three sidewalks.

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