1.Nestor needs 750 centimeters of rope. Rope comes in length of 4 ½ meters and 9 meters at the hardware store 9 meters at the hardware store. Which length of rope should Nestor buy? Example: 4 ½ meters = centimeters 9 meters = centimeters Which length is greater? Explain your findings

This is equivalent to 0.6 in decimal form

=====================================================

Explanation:

To find the slope, divide the rise over run

In this case, we have:

Therefore,

slope = rise/run = 6/10 = 3/5 = 0.6

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,

m = (- 8 + 2) / (- 3 - 7)

m = 6 / 10

m = 3/5

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

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Answer:

D

Step-by-step explanation:

After 3 hours Dylan and Sam will be exactly 15 miles apart .

In the question ,

it is given that ,

the speed at which Dylan is jogging in east = 4 miles per hour .

the speed at which Sam is jogging in south = 3 miles per hour .

the distance covered by Dylan is = 4t

the distance covered by Sam is = 3t

we have to find the time when they are 15 miles apart .

Since Dylan walks in east and Sam walks in South  , it forms a right triangle , so , it will satisfy the Pythagoras Theorem ,

(3t)² + (4t)² = 15²

9t² + 16t² = 225

225 = 25t²

t² = 225/25 = 9

t = 3

Therefore , the time taken will be 3 hours .

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Explanation:

From the table, we see that g(1) = 0

Locate x = 1 in the first row. Then look straight down to see 0 in the g(x) row. That's why g(1) = 0.

This means f( g(1) ) = f( 0 ). I simply replaced g(1) with 0.

The last step is to evaluate f(0).

Locate 0 in the x row. Then look down to see 5 below it. Therefore, f(0) = 5.

Ultimately, f( g(1) ) = f(0) = 5

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

In short: the input x = 1 leads to g(x) = 0. Then x = 0 is the input for f(x) which leads to 5.

Answer:

B

Step-by-step explanation:

I'm assuming the end point is to draw line CG parallel to AB. Question doesn't specify. Student A is drawing the line CG before the point G has even been determined yet

We ahve to solve for y in the equation:

- 2 x - 7 y = 4

We add 7 y to both sides:

- 2 x = 4 + 7 y

now subtract 4 from both sides:

- 2 x - 4 = 7 y

divide everything on the left and everything on the right by 7 in order to isolate the "y" completely:

- 2 x / 7 - 4 / 7 = y

y = -(2/7) x - (4/7)

where "- (2/7) " is the slope

and

"- (4/7)" is the y-intercept

Answer:

Step-by-step explanation:

You are not authorized to post a reply. A snail is at the bottom of a well 30 feet deep. It crawls up 3 feet each day, but at night, it slips down 2 feet. How long does it take for the snail to crawl out the well? 28 days. On the last day he would have reached the top and escaped before sliding down that night.

Answer:

2.55 minutes it takes a snail to crawl 85 inches

i hope this helps you

Answer:

Is it drawn to scale

Step-by-step explanation:

Answer:

97.5 or 48.75

Step-by-step explanation:

if you look at the picture there is a line over the triangle it says 97.5ft x is under the line so my guess is x= 97.5

if its not x then 97.5 divided by 2 = 48.75

you divide by 2 because you are able to partition the triangle into 2

I hoped this helped

Answer:

  ≈ 0.225191

Step-by-step explanation:

  \(58^{22}\div 44^{24}=\left(\dfrac{58}{44}\right)^{22}\cdot\dfrac{1}{44^2}\approx\dfrac{435.970}{1936}\approx0.225191\)

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

4,600,000,000

Step-by-step explanation:

Don't forget the order of operations

3.243 × 10⁸/7.05

= 46,000,000 × 10²

= 4,600,000,000

or 4.6 × 10⁹

Answer:

4.6x10 to the power of 5

Step-by-step explanation:

7.05×10

2

3.243×10

8

​

Divide them.

\frac{3.243}{7.05}\times \frac{10^8}{10^2}

7.05

3.243

​

×

10

2

10

8

​

Divide numbers and 10's separeately.

0.46\times 10^6

0.46×10

6

Subtract exponents.

(4.6\times 10^{-1})\times 10^6

(4.6×10

−1

)×10

6

Rewrite as a number bigger than 1

4.6\times (10^{-1}\times 10^6)

4.6×(10 −1 ×10 6 )

Associate

4.6\times 10^5

4.6×10 5

Add exponents

Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

\(\pi * (18/2)^2\\= 254.34\)Square inch

Area of 12 inch pizza

\(\pi * (12/2)^2\\= 113.04\)Square inch

Circumference of 18 inch pizza

\(2*3.14*9 = 56.52\)

Circumference of 12 inch pizza

\(2*3.14*6 = 37.68\)

Answer:

2

Step-by-step explanation:

1/5*10

Answer:

56 kilograms is equal to approximately 123.456 pounds.

Answer:there were 100 adults  and 350 children tickets sold .

Step-by-step explanation:

Step 1

let number of adult tickets sold be represented as  x

and that of children be  y

such that the total number of adult and children who attended the center will be expressed as

x+ y = 450------equation 1

 and the total cost of tickets sold can be expressed as

4x+ 1.50 y= 925,...equation 2

Step 2--Solving

x+ y = 450------eqn1

4x+ 1.50 y= 925,...eqn 2

 By elimination method , Multiply equation 1  by 4 and subtract equation 2 from  the new equation  formed

4x+ 4y= 1800 ----- eqn 3

-4x+ 1.50 y= 925 eqn 2

2.5y=875

y= 875/2.5

y=350

to fnd x

x+ y= 450

x= 450- 350

x= 100

Therefore there were 100 adults  and 350 children tickets sold .

Answer:

The given equation is expansion of (a-b)²= a²-2ab+b²

\(\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})\)

Answer:

x=1 y=-4

Step-by-step explanation:

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 1 → (1)

y = - x - 3 → (2)

Since both are expressed in terms of y, equate the right sides, that is

- x - 3 = - 5x + 1 ( add 5x to both sides )

4x - 3 = 1 ( add 3 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 1 - 3 = - 4

Solution is (1, - 4 )

The correct histogram representation for the given scores in the history class is option B.

Based on the provided data, the correct histogram representation is:

B. A histogram titled Grades in History Class.

The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100.

The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9.

There is a shaded bar for 41 to 50 that stops at 1, for 51 to 60 that stops at 1, for 61 to 70 that stops at 4, for 71 to 80 that stops at 3, for 81 to 90 that stops at 2, and for 91 to 100 that stops at 2.

The reason for choosing this histogram is as follows:

Looking at the given scores: 45, 52, 65, 68, 68, 70, 77, 78, 78, 81, 85, 96, 100, we can count the frequency of scores within each interval.

In histogram B, the bars correctly represent the frequencies for each interval.

For example, there is one score in the interval 41 to 50, one score in the interval 51 to 60, four scores in the interval 61 to 70, three scores in the interval 71 to 80, two scores in the interval 81 to 90, and two scores in the interval 91 to 100.

The other histograms (A, C, D) have incorrect representations of the frequencies for each interval, which do not match the given scores.

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a. True. Pivot columns of an echelon form of A form a basis for the column space of A.
b. True. Row operations preserve linear dependence relations among the rows of A.
c. False. The dimension of the null space of A is the number of columns of A minus the number of pivot columns.

18. a. If B is any echelon form of A, then the pivot columns of B form a basis for the column space of A.

This statement is true. An echelon form of a matrix is obtained by performing row operations on the original matrix to transform it into a specific triangular form. In this form, the pivot columns correspond to the columns containing the leading entries in each row. The pivot columns of an echelon form of matrix A will also be pivot columns of matrix A itself.

The column space of a matrix is the span of its column vectors. Since the pivot columns of B are a subset of the column vectors of A, they will also span the column space of A. Therefore, the pivot columns of B form a basis for the column space of A.

b. Row operations preserve the linear dependence relations among the rows of A.

This statement is true. When we perform row operations on a matrix, such as multiplying a row by a scalar, adding rows together, or swapping rows, the resulting matrix will have the same row space as the original matrix. This means that the linear dependence relations among the rows of the original matrix will be preserved in the transformed matrix.

c. The dimension of the null space of A is the number of columns of A that are not pivot columns.

This statement is false. The dimension of the null space of A, also known as the nullity of A, is the number of free variables in the reduced row echelon form of A. It is equal to the number of columns of A minus the number of pivot columns. Therefore, the dimension of the null space of A is the number of columns of A minus the number of pivot columns, rather than the other way around.

To summarize:
a. True. Pivot columns of an echelon form of A form a basis for the column space of A.
b. True. Row operations preserve linear dependence relations among the rows of A.
c. False. The dimension of the null space of A is the number of columns of A minus the number of pivot columns.

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42.6 grams of food would have approximately 1.224 calories.

We can solve this problem using proportionality. The weight of an object on Mars is proportional to its weight on Earth, but the number of calories in a food item is not affected by the gravitational pull. Therefore, we can set up a proportion to relate the weight of the food item to the number of calories,

85 pounds on Mars / 170 calories = x pounds on Mars / y calories

We want to solve for y, the number of calories in 42.6 grams of food. To do this, we need to find the value of x, the weight of 42.6 grams on Mars. We can use the fact that the weight of an object on Mars is about 0.38 times its weight on Earth,

x pounds on Mars = 0.38 * (42.6 grams / 454 grams per pound) = 0.0036 pounds on Mars

Substituting this value and the other known values into the proportion gives,

85 pounds on Mars / 170 calories = 0.0036 pounds on Mars / y calories

Simplifying this equation gives,

y = (0.0036 pounds on Mars * 170 calories) / 85 pounds on Mars

y = 0.0072 * 170

y = 1.224

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Answer:

About 13 weeks

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Base² + altitude² = hypotenuse²

Base² + 7² = 20²

Base² + 49 = 400

Base² = 400 - 49 = 351

Base = √351 = 18.73 = 18.7 mm

Answer:

2x + 3 = 4x + 7

Step-by-step explanation:

\(2x + 3 = 4x + 7\\-2x = 4\\x = -2\)