tom and saam are speed skaters. tom skates 44 ft/sec, and saam 50ft/sec. if saam is 120 ft behind tom when they are skating in the same direction, how long will it take saam to catch up to tom?

Answer:

3

Step-by-step explanation:

The measure of each angle is [tex]3(75)-100=125^{\circ}[/tex].

The value of a₄ is 19.

What is arithmetic progression?

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor. The common difference in that mathematical progression is the constant difference.

Here, we have

Given: a₁ ​ =7 and aₙ ​ = aₙ₋₁ + 4

We have to find the value of a₄.

a₁ ​ =7

aₙ ​ = aₙ₋₁ + 4

aₙ ​- aₙ₋₁ = 4

The common difference is 4.

In order to solve, replace the value of the previous answer with the equation for the next answer.

a₁ = 7

a₂ = 7 + 4 = 11

a₃ = 11 + 4 = 15

a₄ = 15 + 4 = 19

Hence, the value of a₄ is 19.

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Answer: 25 inches

Step-by-step explanation:

cos60 = adjacent over hypotenuse

cos60 = a/50

50cos60 = 25

The time and distance of both the boys Jake and Ethan when they meet with each other is equal to 40 minutes after covering 5 miles.

Constant rate by which Jake run is equal to  8 minutes per mile.

Rate of Ethan longboard for first two miles = 5 minutes per mile

Rate of Ethan longboard for rest of the miles = 10 minutes per mile

Time taken by each of them is :

Miles       Time taken by Jake (minutes)       Time taken by Ethan(minutes)

1                    8 min                                                 5 min

2                   16 min                                                10 min

3                    24 min                                               20 min

4                    32 min                                               30 min

5                    40 min                                               40 min

6                     48 min                                               50 min

Therefore , time and distance at which Jake and Ethan  meet is equal to 40 minutes that is at 5 miles.

The above question is incomplete , the complete question is:

Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles.

Find out the time and distance at which both meet.

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To find the x-intercepts of a rational function of the form f(x) = p(x)/q(x), we set p(x) = 0 and solve for x. To find the vertical asymptotes, we set q(x) = 0 and solve for x.

Vertical asymptotes are vertical lines that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.

To find the x-intercepts of the function, we need to set the numerator of the rational function equal to zero and solve for x. This is because x-intercepts occur when the function value is equal to zero. Therefore, we can write:

p(x) = 0

Solving this equation will give us the values of x where the function intersects the x-axis. It is important to note that if p(x) has a degree greater than or equal to q(x), then the function will have a slant asymptote instead of a vertical asymptote.

To find the vertical asymptotes of the function, we need to look at the denominator of the rational function. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In the case of a rational function, this happens when the denominator is equal to zero. Therefore, we can write:

q(x) = 0

Solving this equation will give us the values of x where the function has a vertical asymptote. It is important to note that if the degree of q(x) is greater than the degree of p(x), then the function will have a horizontal asymptote instead of a vertical asymptote.

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There are 40 dominos in the set which contains all number pairs from double-0 to double-8.

The domino set contains all number pairs from double-0 to double-8, which means that there are nine possible values for each half of the domino and they are - 0, 1, 2, 3, 4, 5, 6, 7, and 8.

Since each number pair occurs only once, we can count the total number of dominos in the set by counting the number of distinct pairs of values that can be formed by combining the numbers on the two halves of the domino.

There are 9 possible values for the first half of the domino and 9 possible values for the second half, so there are 9 x 9 = 81 possible pairs of values.

However, we need to divide this by 2 to avoid counting each pair twice, since a domino with the values A-B is the same as a domino with the values B-A.

Therefore, the total number of distinct dominos in the set is 81/2 = 40.5, but since dominos cannot be counted in halves, the closest integer number of dominos is 40.

So there are 40 dominos in the set.

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The solutions of the system of equations are (-1, 2) and (3, -5)

Here we have a graph of a system of equations. The solutions are all the points where the graphs of the two equations intersect.

Here we can see two intersection points, thus, we have two solutions. We can see that the first intersection is at (-1, 2) and the second intersection is at (3, -5)

So these two are the solutions of the system of equations.

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Option A is correct. Use HL to prove two triangles are congruent.

Given:

In triangle ABC and triangle DEF as shown in figure below.

AB≅DE   [leg]                 [Given]

AC≅DF    [Hypotenuse side]      [Given]

∠B = ∠D = 90°

HL(Hypotenuse -Leg) postulates states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Then, by HL postulates;

ΔABC ≅ ΔDEF.

Therefore, the method you use to prove the two triangle congruent is, HL.

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Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is 120 feet, which can be calculated by adding up the lengths of all four sides: (40 + 20 + 40 + 20) feet = 120 feet.

Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is indeed 120 feet. To calculate the distance around the pool, we need to add up the lengths of all four sides, which are equal in length. In this case, the length and width of the pool are both 40 feet and 20 feet, respectively. So, to find the distance around the pool, we add up these four lengths:

40 feet + 20 feet + 40 feet + 20 feet = 120 feet

Therefore, the total distance around the pool is 120 feet.

To determine the distance around the pool, Brianna needs to measure the length and width of the pool. If the pool is rectangular, she can measure the length and width and add up the lengths of all four sides to find the total distance around the pool. If the pool is a different shape, Brianna would need to measure the lengths of each side and add them up to find the total distance around the pool. This information can then be used to calculate the amount of stone needed for the edging around the pool. By knowing the total distance around the pool, Brianna's parents would have a good estimate of how much stone they need to buy for the edging, which is typically sold by the linear foot.

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The complete question is:

In the backyard, Brianna's parents constructed a swimming pool. The pool's circumference, according to Brianna, is 120 feet.

40 Ft

20 Ft

1. Is she correct? Explain why or why not. (You must mention the following in your explanation: If she is right, demonstrate the steps she took to determine the pool's circumference. Determine the right distance and demonstrate all effort if she is mistaken.)

2. So that her parents will know how many feet of stone to purchase for the pool's edging, describe (using words this time) how Brianna would calculate the distance around the pool.

One term in the original equation that needs to be changed to create a new equation with infinitely many solutions is 20 to 21.

An equation is a mathematical or algebraic statement that shows that two or more mathematical expressions are equal or equivalent.

Equations are depicted using the equal symbol (=), unlike mathematical expressions, which consist of variables, constants, numbers, and values.

7(2W + 3) = 14W + 20 does not have a solution because the first expression is unequal to the second expression and cannot be said to be an equation.

7(2W + 3) = 14W + 21 have many solutions for W.

Thus, changing 20 to 21 gives the original equation an indefinite number of solutions for W.

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Answer:

10 packages

Step-by-step explanation:

When Mr. Rankin opens the box and looks straight down on it, he could see two packages. The 12x9 paper package can fit two, side by side in the 18X12 box.

Then there also can fit a stack 5 packages tall. Each bundle is 2 inches tall and the box is 10 inches tall.

Two stacks, 5 deep is 10 packages. see image.

Answer: 2707

Step-by-step explanation: just  multipli

Answer:

186m^2

Step-by-step explanation:

This compound figure will be divided to three rectangular.

1) 18x9=162

2) (18-12)x2=12

3) 2x6=12

so, total is 161+12+12=186^2

Answer:

c

Step-by-step explanation:

Shawn made 4 round trips to visit his grandma.

The travel time is the amount of time it takes to travel from one location to another. The specific method for calculating travel time depends on the mode of transportation being used. Here are some general guidelines for calculating travel time:

Let's start by converting the total travel time to minutes:

5 hours and 12 minutes = 5 × 60 + 12 = 312 minutes

Let's call the number of round trips that Shawn made "x".

For each round trip, Shawn has to travel to his grandma's apartment and then back home. The total time for each round trip is:

time per round trip = time to get there + time to get back + time to walk to/from parking

time per round trip = 35 + 35 + 4 + 4 = 78 minutes

So the total travel time for all of the round trips is:

total travel time = time per round trip x number of round trips

312 = 78x

Solving for "x", we get:

x = 312/78 = 4

Therefore, Shawn made 4 round trips to visit his grandma.

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Answer:

Step-by-step explanation:

You want to find the number of puzzles solved by each boy if they solved 35 puzzles together, and 1/3 of the number Andy solved is twice the number Dale solved.

Let 'a' and 'd' represent the numbers of puzzles solved by Andy and Dale, respectively. Then ...

  a + d = 35

  1/3a = 2d

Multiplying the second equation by 3, we get an expression for 'a' that can be used in the first equation:

  a = 6d

  6d +d = 35

  d = 35/7 = 5

  a = 6(5) = 30

Andy solved 30 puzzles; Dale solved 5.

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Answer:

Step-by-step explanation:

A square has 4 equal sides therefore to find the side of one we would divide the perimeter by 4. Doing that we get 7 inches.

Now seeing as it has four equal sides in order for us to find the area we would do:

Area = side x side = 7x7 = 49 squared inches

Answer: Yes. for each input there is exactly

ONE output

Step-by-step explanation:

I did the test and it was true.

Answer:

x=120

Step-by-step explanation:

sum of angles is 540

given two right angles which is 90

90+90=180

540-180=360

360/3=120

The sum of expression is 8a + 5b - 9.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

(8a + 2b -4) and (3b-5)

Now, adding the above expression we get

(8a + 2b -4) + (3b-5)

= 8a + 2b - 4 + 3b - 5

= 8a + 2b + 3b -4 - 5

= 8a + b(2+ 3) - 9

= 8a + b(5) -9

= 8a + 5b - 9

Hence, the simplified expression is 8a + 5b - 9.

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Variable y in equilateral 60°, Thus correct option is C) 60°.

An equilateral triangle is one with equal-sized sides on all three sides and angles that can all reach a maximum of 60 degrees. An equilateral triangle is a triangle with three equal sides, also referred to as a "regular" triangle. Since all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle. Three equal angles of 60 degrees also make up an equilateral triangle.

The sum of all the angles in a triangle is 180.

It is given that the triangle ABC is an equilateral triangle.

So ∠A+∠B+∠C =180°

∠A=B=∠C

3∠A=180°

∠A=60°

Therefore y in ΔABC is C) 60°

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Work Shown:

48w+23

48*3+23

144+23

167

It takes 167 minutes to cook 3 kg of meat.

Convert this to hours+minutes format.

167 min = 120 min + 47 min

167 min = 120/60 hr + 47 min

167 min = 2 hr + 47 min

We can rewrite ln(27000) in terms of ln(5) and ln(6) as ln(27000) = 3ln(5) + 3ln(6) by using logarithmic property.

Due of their connection to exponential functions, logarithmic functions are crucial. Logarithms can be used to examine exponential equations and the properties of exponential functions.

We can use the logarithmic property that says:

log_a(xⁿ) = n×log_a(x)

to break down 27000 into factors that involve 5 and 6.

First, we can write:

27000 = 5³× 6³

When we take the natural logarithm of both sides, we obtain:

ln(27000) = ln(5³ × 6³)

Using the property above, we can simplify this expression as:

ln(27000) = ln(5³) + ln(6³)

Using another logarithmic property that says:

log_a(bⁿ) = c×log_a(b)

we can further simplify the expression:

ln(27000) = 3ln(5) + 3ln(6)

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The required shortest distance between the building and the end of the ramp, if the doorway is 1.3 feet above the parking lot, is 1.3 feet.

The slope is defined as the ratio measure of rise to measure of the run.

Here,
The shortest possible distance between the building and the end of the ramp, if the doorway is 1.3 feet above the parking lot, is 1.3 feet.

This is because, if the doorway is 1.3 feet above the parking lot, the ramp will need to rise 1.3 feet in order for a person or vehicle to be able to enter the building. The length of the ramp will be equal to the rise, so in this case, the shortest possible distance between the building and the end of the ramp would be 1.3 feet.

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The given Expression simplifies to -8.1069556e+27

BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. A mathematical expression's order of execution is explained using the BODMAS.

Given an equation to solve,

6234653928 + 294292342 - 424624642 x 16515615615165161 x 1156 + 6466456

Let us consider this Expression as A + B - C * D * E + F, with the corresponding terms being equal

By, the BODMAS rule,

First step: Multiply C, D, E. Let this be G

Now, the equation will look like this: A + B - G + F

Second step: We can add and subtract according to the signs now

On solving, the expression simplifies to -8.1069556e+27

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Answer:

22ft

Step-by-step explanation:

Always good to try and draw out the scenario, it can make it more easily understandable.

Have a look at the pic.

Hope its clear.

Answer:

∠ B = 121°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

• opposite angles sum to 180°

∠ B and ∠ D are opposite angles , then

∠ B + 59° = 180° ( subtract 59° from both sides )

∠ B = 121°

a. yes because they = 0

b. no, negative + negative = negative

c. yeah cause 3 >

d. no, its 0

e. no

The formula for given sequence is aₙ = 0.3(-0.2)ⁿ⁻¹ i.e. E.

What exactly is a sequence?

A sequence is a collection of numbers that follows pattern. Olivia, for example, has been offered a position with a beginning monthly pay of $1000 and a yearly raise of $500. Can you figure out her monthly pay for the first three years? The prices will be $1000, $1500, and $2000. Note that Olivia's income over a number of years creates a sequence as they follow a pattern where the numbers increase by $500 each time.

Now,

Given sequence is 0.3,-0.06, 0.012, -0.0024, 0.00048, ...

Of all given options only E satisfies the given sequence because

for E

a₁=0.3*-0.2¹⁻¹

=0.3*1

=0.3

a₂=0.3*-0.2²⁻¹

=-0.3*0.2

=-0.006

a₃=0.3*-0.2³⁻¹

=0.3*0.04

=0.012

hence,

          The formula for given sequence is aₙ = 0.3(-0.2)ⁿ⁻¹.

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The lower quartile for the given data is -2, since it is the 25th percentile and is the value that lies at the 25th position when the data is sorted in ascending order.

1. Sort the data in ascending order: -4, -2, 1, 1, 6, 8, 12, 15

2. Calculate the 25th percentile: 25th percentile = (n + 1) * 0.25 = (8 + 1) * 0.25 = 2.25

3. The 25th percentile is between the 2nd and 3rd values, which are -2 and 1 respectively.

4. The lower quartile is -2.

The lower quartile (also known as the 25th percentile) is the value that lies at the 25th position when the data is sorted in ascending order. To find the lower quartile of the given set of data (1, 8, 1, -4, 12, -2, 15, 6), the data needs to be sorted in ascending order. This gives us the following data: -4, -2, 1, 1, 6, 8, 12, 15. Now, to calculate the 25th percentile, we use the formula (n + 1) * 0.25, where n is the number of data points. In this case, n = 8, so the 25th percentile = (8 + 1) * 0.25 = 2.25. This means the 25th percentile is between the 2nd and 3rd values, which are -2 and 1 respectively. Therefore, the lower quartile for the given data is -2.

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