mrs martin and his son luke decide to walk a 12 kilomiter trail mrs martin takes a 1-hour trail head start and walks a pace of 3 km/hr explain how fast luke should walk to reach the end of the trail in 3 hours the same end of the trail in 3 hours the same time as mr martin

The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Answer:

1.

The y-intercept is $35.

2.

The y-coordinate of the y-intercept of the function represented the amount of money present at the beginning of the sale when no cups were sold.

3.

the slope is 2.5

4.

The slope represents the rate at which the lemonade is sold.

5.

Step-by-step explanation:

ape x

The y- intercept is 35.

y-intercepts are when the line touches the y-axis.

To find these, find the y when x = 0. The point for a y-intercept will look like (0,y) x-intercepts are when the line touches the x-axis. To find these, find the x when y = 0.

If we look at the graph, there are three coordinates as

To find the y- intercept we have to those coordinate in which the x-coordinate is zero or line touches the y-axis.

Hence, (0,35) is the coordinate for y- intercept.

So, y- intercept is 35.

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Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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Answer:

2.36

Step-by-step explanation:

order of operations : pemdas

parenthesis, exponents

multiplication, division

addition, substraction

first parenthesis, so

(32-4) = 28

parenthesis again

[10+28] = 38

now you have

90/38 = 45/19 = 2.36

The simplified result of the expression 90÷[10+(32−4)] is approximately (2.36842105).To simplify the expression 90 ÷ [10 + (32 - 4)] using the order of operations (PEMDAS/BODMAS), we follow these steps one at a time:

Step 1: Perform the operations inside the innermost parentheses.

(32 - 4 = 28)

Now the expression becomes: (90 ÷ [10 + 28])

Step 2: Perform the addition inside the brackets. (10 + 28 = 38)

Now the expression becomes: \(90 ÷ 38\)

Step 3: Finally, perform the division.

(90 ÷ 38 ≈ 2.36842105) (rounded to 8 decimal places)

So, the simplified result of the expression is approximately (2.36842105).

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The set of side measurements that could be used to form a right triangle is

The problem is solved using the Pythagoras theorem is applicable to right triangle.  

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

the set of sides that adheres to this theorem can form a right triangle

plugging the values as in the problem  6, 8, 10

say side 10 = x

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = √100

x = 10

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Answer:

You will need four runners.

Step-by-step explanation:

If you multiply 1/16 by four you will get 4/16, which is simplified to 1/4

The " Eight  further than the Quotient of a number and 7 is equal to 3," and the  result to the equation is x = -35.

The equation 8( x/ 7) =  3 represents the  judgment " Eight  further than the Quotient of a number and 7 is equal to 3," and the  result to the equation is x = -35.    

" Eight  further than" implies addition, so we've 8 " The quotient of a number and 7" means dividing a number by 7, so we've x/ 7 " is equal to" means that the expression on the left side is equal to the expression on the right side, so we've =  " 3" is the value to which the expression on the left side is equal, so we've 3  Putting it all together the  judgment " Eight  further than the quotient of a number and 7 is equal to 3" can be  restated into the equation ( x/ 7) =  3  

In this equation, x represents the number we're trying to find. To  break for x, we can manipulate the equation using algebraic operations to  insulate x on one side of the equation.  By abating 8 from both sides of the equation, we get ( x/ 7)- 8 =  3- 8  Simplifying, we have  x/ 7 = -5

To  insulate x, we can multiply both sides of the equation by 7  *( x/ 7) = -5 * 7  This gives us  x = -35  thus, the equation 8( x/ 7) =  3 represents the  judgment " Eight  further than the quotient of a number and 7 is equal to 3," and the  result to the equation is x = -35.

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Answer:

Step-by-step explain:

2.704 * 10 = 27,04

2.704 * 100 = 270,4

2.704 * 1,000 = 2,704

Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

Notice that the first one of the 6 digits cannot be 3, so we are left in that case with only 9 digits to pick from for the first option.

The last digit must be even, so we are left with just 5 possible digits (0, 2, 4, 6, 8) for the last option.

So now we build the total number of combination using the fact that the four middle digits can be any of the 10 available digits:

9 * 10 * 10 * 10 * 10 * 5 = 450000 possible combinations.

Step 1

Given;

Step 2

Boyle's law is given as

Answer;

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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The most likely be included in the magazine article that follows this introduction is A. examples of radio programs

A radio program, radio programme, or radio show is a piece of content designed for radio broadcast. It could be a one-time production or part of a recurring series.

Headphones are ubiquitous! People are trapped in their downloaded music worlds, relying on their personal music libraries for entertainment. They are thus ignoring a diverse world of radio offerings that could enrich and entertain them. Local radio stations broadcast music and news, whereas National Public Radio (NPR) broadcasts debate and entertainment for people of all ages.

Based on the information given, it should be noted that after the introduction, the next thing is to simply give the examples of the radio shows. This is important in order to buttress the introduction.

In conclusion, based on the information, the correct option is A.

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Answer:

Step-by-step explanation:

a  i was told by my teacher

Answer:

5870.23

The digit 3

Step-by-step explanation:

Answer:

2,208 students

Step-by-step explanation:

Here's why: Using proportions.

13. x

--- =. ----

195. 33,120

Cross multiply

13 x 33,120 = 430,560

195 multiply x = 195x

430,560 divided by 195 = 2,208x = 2,208 students

Answer:

110 ft. is the height of the building.

Step-by-step explanation:

-3 - 8(-5a - 1) = -3 + 40a + 8 =

= 40a + 5

or

= 5 + 40a

which is the same as you know : an addition is always commutative (the sequence of the operands does not matter).

\(\qquad \qquad\huge \underline{\boxed{\sf Anѕwєr}}\)

To get the number of terms in an expression we have to add the like terms, and after that the different terms separated by mathematical operators (+ and -) are the required number of terms !

That is :

\(\qquad \sf  \dashrightarrow \: 55 + 14m - 2n + 3p\)

here, since we don't have like terms, let's skip the first part.

So, total number of terms = 4

Answer:

Your answer is (C)

Explanatory variable: miles on the car odometer

Response variable: depth of tire tread

ED2021

When two variables' ratios are equivalent, proportional relationships between them emerge.The right response is option c.A $50 membership fee plus a $20 monthly cost is required to use a gym.

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We have to find the measure of <4.

<4 and <1 are vertical angles, so they have the same measure.

Also, <1 and 120° are corresponding angles and have the same measure.

Then, m<4 is also 120°.

Answer: m<4 = 120°