Sally and Dave Both walk from their houses to the bus stop every morning. Sally walks 2.1 kilometers further, and together they walk 4.5 kilometers. If Dave walks a distance of d kilometers, find the value of d.​

Answers

Answer 1

The value of d is 1.2.

According to the question,

Distance walked by Dave from his house to the bus stop = d kilometer.

Distance walked by Sally and Dave together = 4.5 kilometers.

Therefore, the distance walked by Sally alone = (4.5 - d) kilometers.

Also, Sally walks 2.1 km more than Dave. ( according to the question)

Therefore, the distance walked by Sally alone  = (d + 2.1) km.

∴ 4.5 - d = d + 2.1

⇒ 2d = 4.5 - 2.1

⇒ 2d = 2.4

d = 1.2

Hence, the value of d is 1.2.

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Related Questions

Please help answer and explain am begging you ​

Please help answer and explain am begging you

Answers

1,6,7 are positive
2,9 are negative
3,4,5,8 are undefined

Answer:

1.) positive

2.) negative

3.) zero

4.) undefined

5.) zero

6.) positive

7.) positive

8.) undefined

9.) negative

Danny solved the inequality - 8x > 56 and got x>-7. Is this correct and if not, what mistake did Danny
make. Select your decision and reason from the box below.
Is Danny correct? →
YES
OR
NO
56 divided by -8 is not-7
If no, what mistake did Danny make? →
Danny did not reverse the symbol
It should be 7 not-7

Answers

Answer:

Danny did not reverse the symbol.

Hence, the correct answer is: \(x<-7\)

Step-by-step explanation:

Given the inequality

\(- 8x > 56\)

We know that when we multiply both sides by -1, the 'inequality' gets reverse.

i.e.

\(\left(-8x\right)\left(-1\right)<56\left(-1\right)\)

\(8x<-56\)

Divide both sides by 8

\(\frac{8x}{8}<\frac{-56}{8}\)

\(x<-7\)

Therefore, Danny did not reverse the symbol.

Hence, the correct answer is: \(x<-7\)

Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2

Answers

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted down 4 units.
Vertical compression

the solution set for x^2 -x -56=0 is
A.{7,8}
b. {-7}
c. {8}
d. {-7,8}
e. {7.-8}

Answers

I believe the answer is E

a student records the repair cost for 1717 randomly selected tvs. a sample mean of $73.10$⁢73.10 and standard deviation of $16.01$⁢16.01 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.

Answers

Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).

What do you mean by the term Repair cost?

Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.

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i need answer by today​

i need answer by today

Answers

The distance between pylon B and pylon C is 1017.60 m, using the Pythagorean theorem.

What is Pythagorean theorem?

The Pythagorean Theorem, also known as Pythagoras' Theorem, states that the area of the large square is equal to the sum of the areas of the two smaller squares.

In terms of algebra, the triangle's a and b are its legs, and its hypotenuse is equal to its product, a2 + b2 = c2.

Since it provides the foundation for the definition of distance between two points in Euclidean geometry, the theorem is crucial. Anyone who took geometry in high school, in my opinion, cannot possibly fail to remember it long after other math concepts have been completely forgotten because it is so fundamental and well-known.

Using Pythagorean theorem

The hypotenuse is the Distance from pylon B to pylon C

c = \(\sqrt{a^2 + b^2}\)

Distance from pylon B to pylon C =  \(\sqrt{845^2 + 567^2}\)

                                                        = 1017.60 m

Thus, The distance between pylon B and pylon C is 1017.60 m, using the Pythagorean theorem.

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please help i need help

please help i need help

Answers

-5
-1 3/4
-2
3.5
4 1/2

Three factories build the same widget

Three factories build the same widget

Answers

Answer:

C

Step-by-step explanation:

I hope this helps a bit

determine whether each statement is true or false. you have one submission for each statement. (a) for every function f(x), if lim x→a f(x) does not exist, then lim x→a f(x) does not exist.

Answers

For the function f(x) , the statement based on limit has following answer,

a. For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

For the function f(x),

If the limit of the function f(x) does not exist then,

(a) lim x→a⁺ f(x) does not exist is a false statement.

If lim x→a⁺ f(x) or lim x→a⁻ f(x) exists.

it is still possible for lim x→a f(x) to not exist.

For example, consider the function f(x) = 1/x and a = 0.

The limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does exist.

(b) lim x→a⁻ f(x) does not exist is a false statement.  

Considering same function f(x) = 1/x and a = 0 .

The limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does exist.

Therefore, function f(x) represents the following statement as,

a. If  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  If  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

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The above question is incomplete , the complete question is:

Determine whether each statement is true or false. you have one submission for each statement.

(a) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist.

(b) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist.

I need help, I can’t find the answer.

I need help, I cant find the answer.

Answers

Answer:

to get rid of the fraction multiply both sides by six

Answer:

multiply both sides by 6

Step-by-step explanation:

you won't add 2 until you have a whole number, not a fraction.

You don't need to change the direction

and you aren't supposed to change the =, >, <, or any of those signs ever, until you get to where you are multiplying or dividing by a negative number

Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)

Perpendicular is the negative reciprocal so the slope is -1/3

Need to know b and the full equation

With work please. Thank you!

Answers

Answer:

y=-1/3x+2/3 (please mark brainliest)

Step-by-step explanation:

start with y=3x+6

you can get the slope of the perpendicular line by dividing the slope by -1,

so the slope of the new line is -1/3.

using the point and the slope of the new line, we can put it into point-slope form:

y-y₁=m(x-x₁)

y-0=-1/3(x-2)

simplify:

y=-1/3x+2/3

this is the final equation in the form y=mx+b

A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?

A. 150
B. 50
C. 175
D. 100

Answers

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Find the geometric mean of 14 and 20. Answer in simplest form

Answers

The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.

The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).

The geometric mean of 14 and 20 must be determined. Let's see the numbers:

a = 14 and b = 20

For two numbers, the geometric mean is calculated as follows:

\($M=\sqrt{a b}$\)

Filling in the values as shown in the formula above:

\($M=\sqrt{14 \times 20}$$M=\sqrt{7 \times 2 \times 5 \times 4}$$M=16.73$\)

Therefore, the answer is 16.73.

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The required geometric mean of 14 and 20 is 16.73.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.

The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).

The geometric mean of 14 and 20 must be determined. Let's see the numbers:

a = 14 and b = 20

For two numbers, the geometric mean is calculated as follows:

G.M = \(\sqrt{ab}\)

Filling in the values as shown in the formula above:

G.M = \(\sqrt{14(20)}\)

G.M = \(\sqrt{280}\)

Therefore, the answer is 16.73.

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For a river, describe the path of motion and describe an appropriate coordinate axis to depict the waters motion. Why was the selected coordinate axes best to describe the motion of the given system.

Answers

The motion of water in a river is one-dimensional. Thus, the appropriate coordinate axis to depict the water's motion in a river is one-dimensional. There are two types of one-dimensional motion, which are rectilinear and curvilinear motion.

A rectilinear motion is a motion that occurs in a straight line, whereas a curvilinear motion occurs in a curved path. In the case of a river, the motion of water is in a curvilinear path, which makes it appropriate to use the curvilinear coordinate axis to depict its motion. The curvilinear coordinate axis is a polar coordinate system where a point is defined by its distance from a fixed point (the origin) and the angle made by a line between the origin and the point. It is also referred to as a polar coordinate system because it uses the polar coordinates to define the position of a point. The selected coordinate axis is best to describe the motion of water in a river because it accurately depicts the path of the motion. It shows the position of the water at any point in time as it flows in a curvilinear path. This coordinate axis provides the position of the water and the direction it is moving in, which is essential in understanding the motion of water in a river.

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If f(x) = sqrt(4 - x ^ 2) then f(2)​

Answers

Answer:

f(2) = sqrt(4 - 2 ^ 2)

f(2) = sqrt(4 - 4)

f(2) = sqrt(0)

f(2) = 0

Answer: 0

Step-by-step explanation:

Give me Brainliest if that helped! :)

1/5p=15

Pls solve in steps forgot how to do it lol

Answers

Answer:

(1/5)*p = 15 // - 15

(1/5)*p-15 = 0

1/5*p-15 = 0 // + 15

1/5*p = 15 // : 1/5

p = 15/1/5

p = 75

p = 75

Answer:

p=75 cause that's just it

What is the circumference of the circle? Use 3.14 for pi. 9.42 inches 18.84 inches 28.26 inches 88.74 inches

The circle just has a line in the middle and 3 inches across it

Answers

On solving the provided question, we can say that circumference of the circle is 9.42 inches.

What is circle?

A circle is created in the plane by each point that is a specific distance from another point (center). Hence, it is a curve made up of points that are separated from one another by a defined distance in the plane. Moreover, it is rotationally symmetric about the centre at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "centre." A circular symmetry line is made by drawing a line through the circle. Moreover, it is rotationally symmetric about the Centre at every angle.

The diameter of the circle is 3 inches, which means the radius is 1.5 inches (half the diameter).

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference, π is pi, and r is the radius.

C = 2 x 3.14 x 1.5

C = 9.42 inches

circumference of the circle is 9.42 inches.

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I will give you a Brainliest

Place the expression that makes the sentence true.

Mark brought $30 to a baseball game. He bought 2 drinks while at the game. Mark set up
an expression to model his situation, where d represents the cost of a drink.

The expression
models the amount of money Mark has after the game.

Answers

Answer:

30 - 2d

Step-by-step explanation:

An expression does not have an equal sign.  He had 30 and we want to take away 2 drinks.

Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D

Answers

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

1.sundaybought10pens,andapencost$5dollars.whatisthecostof15pensinnaira,if$1is30naira?

Answers

Answer:

Step-by-step explanation:

gnag  dsewhqjhnqrhjwqkhjqrkhwq

For a given population with a normal probability distribution, the sampling distribution is a normal probability distribution for:
a. small sample sizes only.
b.any sample size.
c. large sample sizes only.
d. sample sizes greater than 30 only.

Answers

The sampling distribution is a normal probability distribution for any sample size. Option b

According to the Central Limit Theorem, for a given population with any probability distribution, the sampling distribution of the sample mean tends to follow a normal distribution as the sample size increases, regardless of the shape of the population distribution. This means that the sampling distribution becomes approximately normal, regardless of whether the population distribution is normal or not.

The Central Limit Theorem holds true for both small and large sample sizes. However, for small sample sizes, the approximation to a normal distribution may not be as accurate as for larger sample sizes. As the sample size increases, the sampling distribution becomes more symmetrical and bell-shaped, resembling a normal distribution.

Therefore, the correct answer is (b) any sample size. The sampling distribution can be approximated by a normal distribution for any sample size, but the approximation becomes more accurate as the sample size increases.

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Which of the following are true? I. Through any two points, there is exactly one line. I. A line must contain at least three points. Ill. Two lines intersect at exactly one point. N. Two planes intersect at exactly one line. A. I, III, and IV B. I and II C. II and Ill D. III and IV

Answers

The correct statements are I, III and IV. The correct option is A.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

The statements which are true are given below,

I. Through any two points, there is exactly one line.

II. Two lines intersect at exactly one point.

IV. Two planes intersect at exactly one line.

The above statements are correct.

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I need Help!!!! Fast!!

I need Help!!!! Fast!!

Answers

Answer:

second one just se that cuse I think it is it a fuse fore me

4. [10 points] List the following functions according to their order of growth from the lowest to the highest. (n-2)!, 10 log (n+100) 100, In² n, 2²n, 3n+1, 0.0052√√n +3logn² + log²n, 0.5, 1000 nlogn + 50, n², (0.3)"

Answers

The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

The given functions are listed below according to their order of growth from the lowest to the highest:

0.5(0.3)(n-2)!10 log(n+100)(100)(log²n + 3logn² + 0.0052√√n)3n+1(n²)1000 nlogn + 50(2²n)In² n

Therefore, the correct order of the given functions from lowest to the highest growth is:

0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

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Solve the equation.

29= p x 20

p= __

Answers

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

\(\frac{29}{20}\)= p x \(\frac{20}{20}\)

now u end up with 1.45=p

hope it helped

Find LM in parallelogram LMNQ.

L

M

8. 2

100°

P

18

7

29°

Q

13

N

LM= |

Answers

The value of LM in parallelogram LMNQ in this question is 13.

A parallelogram is a four-sided shape that is a part of the quadrilateral spectrum. As the name suggests, two pairs of the sides of a parallelogram are parallel to each other. In simpler words, the opposite sides of a parallelogram are equal and parallel.

As shown in the image attached, in parallelogram LMNQ, the sides LM and NQ are parallel. This means that these sides are equal as well. We have been told that the value of NQ is 13. This means that the value of LM is 13 as well.

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Find LM in parallelogram LMNQ. LM8. 2100P18729Q13NLM= |

I doubt anyone can get this but...

We choose a positive divisor of $20^{20}$ at random (with all divisors equally likely to be chosen). What is the probability that we chose a multiple of $10^{10}$?

Answers

Notice that the prime factorization of \(20^{20}\) and \(10^{10}\) are \(2^{40}\cdot5^{20}\) and \(2^{10}\cdot5^{10}\), respectively. also, notice that both of their prime factorizations contain only 2 and 5.

Let the divisor of 20^20 that is a multiple of 10^10 be:

\(2^y\cdot5^x\cdot2^{10}\cdot5^{10}\\=2^{10+y}\cdot5^{10+x}\)

where y and x are positive integers.

We can have y equal to 0, 1, 2, ... 30 before the exponent of 2 exceeds 40, and we can have x equal to 0, 1, 2, ... 10 before the exponent of 5 exceeds 20.

That is 11*31= 341 numbers in total.

There are (40+1)(20+1)=861 factors in 20^20, which means that the final answer is:

\(\boxed{\frac{341}{861}}\)

also are you, by any chance, the same guest who posted the same question in web2.0?

Let G be a simple directed graph with non-negative arc weights. We define capacity of a path p in G as the minimum arc weight along it: cap(p)=min e∈p

w(e). And we define volume of a pair of vertices (u,v) as the maximum capacity among paths from u to v : vol(u,v)=max p is a path from u to v

cap(p). Given graph G and a vertex s of G, present an efficient Dijkstra-like algorithm to find, for all t∈G.V\{s}, the volume of (s,t).

Answers

To find the volume of all pairs of vertices (s, t) in a directed graph G using an efficient Dijkstra-like algorithm, we can adapt the Dijkstra's algorithm with some modifications.

Here is the algorithm:

Initialize all vertices' volumes as negative infinity, except for the starting vertex s, which has a volume of 0.

vol(v) = -∞ for all v in G.V

vol(s) = 0

Create a priority queue Q to store vertices based on their volumes (minimum volume first). Initially, insert vertex s into Q.

While Q is not empty, do the following:

a. Extract the vertex u with the minimum volume from Q.

b. For each neighbor v of u:

Calculate the capacity of the path from s to v via u: cap(s, v) = min(cap(s, u), w(u, v)), where w(u, v) is the weight of the arc from u to v.

If cap(s, v) > vol(v), update vol(v) with cap(s, v) and insert v into Q if it's not already present.

After the algorithm finishes, the volumes vol(s, t) will represent the maximum capacity of paths from s to t for all vertices t in G.V{s}.

This modified Dijkstra-like algorithm finds the maximum capacity (volume) from s to all other vertices by considering all possible paths and updating the volume as we encounter smaller capacities along the way. By using a priority queue to extract the minimum volume vertex efficiently, the algorithm can run in O((|V| + |E|) log |V|) time complexity, where |V| is the number of vertices and |E| is the number of edges in the graph.

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In the absence of additional information you assume that every person is equally likely to leave the elevator on any floor. What is the probability that on each floor at most 1 person leaves the elevator

Answers

The probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

Assuming that every person is equally likely to leave the elevator on any floor, the probability that on each floor at most 1 person leaves the elevator can be calculated using the binomial distribution.

Let's say there are n floors in the building. The probability of at most 1 person leaving the elevator on each floor is the probability that 0 or 1 person leaves the elevator on each floor. This can be calculated as follows:

P(at most 1 person leaves the elevator on each floor) = P(0 people leave on floor 1) x P(0 or 1 people leave on floor 2) x P(0 or 1 people leave on floor 3) x ... x P(0 or 1 people leave on floor n)

Now, since we are assuming that every person is equally likely to leave the elevator on any floor, the probability of 0 people leaving the elevator on any floor is (n-1)/n and the probability of 1 person leaving the elevator on any floor is 1/n. Therefore, we can calculate the probability of at most 1 person leaving the elevator on each floor as:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (1/n + (n-1)/n)^(n-1)

Simplifying this expression, we get:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (2/n)^(n-1)

For example, if there are 5 floors in the building, the probability of at most 1 person leaving the elevator on each floor is:

P(at most 1 person leaves the elevator on each floor) = 4/5 * (2/5)^4
P(at most 1 person leaves the elevator on each floor) = 0.08192

Therefore, the probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

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subtract (4m2−m+2)−(−3m2+10m+4)

Answers

Answer:

7m² - 11m - 2

Step-by-step explanation:

(4m² - m + 2) - (-3m² + 10m + 4)

4m² + 3m² - m - 10m + 2 - 4

7m² - 11m - 2

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