the accompanying data file shows the average monthly debt payments (debt in $) for residents of 26 metropolitan areas.

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

At 15:00 Bus B will pass Bus A.

The relative speed is the net speed difference.

When they travel at same direction we subtract their speeds to get relative speed.
when they travel in the opposite direction we add their speeds to get their relative speed.

In the given question

The time difference between Bus A and Bus B is 2 hours In that two Hours Bus A will travel ( 2 x 50 ) km

= 100 km

The relative speed difference between Bus A and Bus B is (70 - 50)km/hr

= 20 km/hr

To catch Bus A , Bus B will need (100/20)hrs

= 5 hrs

So, Bus B left at 10:00 after 5 hrs it will be 15:00.

At 15:00 Bus B will pass Bus A.

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Answer:

Base:12

Volume:76.8

Step-by-step explanation:

The base is 3*8/2

which is 12

and the volume is base * height so

12*6.4

=76.8

Hope this helps :) Giving me brainiest would help a lot :))

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

Linear equations are two-variable equations that graph as a straight line.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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Answer:

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

Find the HCF of 64 , 72

64  = 2 * 2 * 2 * 2 * 2 *2 = 2^6

72 = 2 * 2 * 2 * 3 * 3

HCF = 2*2*2 = 8

64 : 72 = \(\frac{64}{72}\)

            = 64 ÷ 8

               72 ÷ 8

           \(=\frac{8}{9}\)

Problem 1

To begin with, Aldi has 0 mg of the medicine in his bloodstream.

Then Haidar gives her dog 150 mg of the medicine.

The day progresses along and at the end of the day, 40% of the medicine remains. So 0.40*150 = 60 mg remains.

At the start of day 2, Haidar gives another 150 mg dose. The 60 mg bumps up to 60+150 = 210 mg. This becomes 0.40*210 = 84 mg at the end of day 2.

At the start of day 3, she gives her dog yet another 150 mg dose. So the 84 increases to 84+150 = 234. This decays to 0.40*234 = 93.6 mg at the end of day 3.

Finally, at the start of day 4, the 150 mg dose bumps the 93.6 up to 93.6+150 =  243.6 mg, which then decays to 0.40*243.6 = 97.44 mg.

Here's a table to summarize everything

\(\begin{array}{|c|c|c|c|} \cline{1-4} & \text{Start} & \text{When meds are given} & \text{End}\\ \cline{1-4} \text{Day} & \text{x} & \text{y = 150+x} & \text{z = 40\% of y }\\ \cline{1-4} \text{1} & \text{0} & \text{150} & \text{60}\\ \cline{1-4} \text{2} & \text{60} & \text{210} & \text{84}\\ \cline{1-4} \text{3} & \text{84} & \text{234} & \text{93.6}\\ \cline{1-4} \text{4} & \text{93.6} & \text{243.6} & \text{97.44}\\ \cline{1-4} \end{array}\\ \text{All values in the table are amounts in mg}\)

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

Problem 2

The first term is \(a_1 = 0\) to indicate the dog has 0 mg of medicine in his bloodstream to start off with.

Then we add on 150 mg to that amount, and take 40% of the sum.

This indicates that \(a_2 = 0.40(150+a_1)\)

Similarly,

\(a_3 = 0.40(150+a_2)\)

and so on.

In general, we have this recursive definition

\(\begin{cases} a_1 = 0\\ a_n = 0.40(150+a_{n-1}) \end{cases}\)

The \(a_n\) refers to the nth dose while \(a_{n-1}\) is the dose amount just before the nth dose.

This sequence is neither arithmetic nor geometric.

It's not arithmetic because we aren't adding the same number to each term to get the next term. It's not geometric because we aren't applying the same common ratio to multiply from term to term.

The mix of "plus 150" and "times 0.40" is almost like this is a hybrid of arithmetic and geometric respectively. However, it's not purely one or the other.

Answer: (f+g)(x) = 6x²- 4x + 6

Step-by-step explanation:

We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)

Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)

We are left with (f+g)(x) = 6x²- 4x + 6

Answer:$75

Step-by-step explanation:

Brhe

Answer:

C

Step-by-step explanation:

Start by simplifying what you can in each radicalfor example, the

∛(xy⁵)= y∛(xy²)

and

∛(x⁷y¹⁷)=x²y⁵∛(xy²)

So know our equation looks like

y∛(xy²)*x²y⁵∛(xy²)

Now because what's inside the radical is the same we can combine them

y⁶x²∛(xy²)²

distribute the square

so

∛(xy²)²=  ∛(x²y⁴)= y∛(x²y)

and finally,

y⁶x²*y∛(x²y)= y⁷x²∛(x²y)

this is equal to option C

Answer:

If you  look it up it should be there

Step-by-step explanation:

google :\

Answer: y=4

Explanation:

The expression we have is:

to solve for y we do the following steps.

Step 1: Add 3 on both sides of the equation

Solving the operations we get:

Step 2: Divide both sides of the equation by 5

Doing the divisions we get:

The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).

As given in the question,

Number of six sided fair dice rolled = 2

Total number of outcomes of each dice = 6

Total number of outcomes of rolling two six sided fair dice = 36

Outcomes are:

( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)

Sum of facing up dice add upto 3 are

( 1,2) , (2,1) only

Number of favorable outcomes = 2

Required probability = 2/36

                                = 1/18

Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).

The given question is incomplete, I answer the question in general according to my knowledge:

Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?

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\( \bold{\underline{\underline{\underbrace{Answer}}}} \)

x = p and y = -q

Step-by-step explanation:

The value of x and y

px + qy = p² - q²(equation 1)

qx - py = 2py

{Taking equation 2}

\( \sf qx - py = 2py\)

{Taking py on RHS}

\( \sf qx = 2py \ + py \)

{Dividing both sides by q

\( \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)\)

{Now substituting the value of equation 3 in equation 1}

\( \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} \)

{Taking 2p² on RHS and taking LCM on LHS}

\( \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )\)

{Dividing (p² + q²) both sides}

\( \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }\)

{Now using value of y in equation 3}

\( \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}\)

Answer:

83 degrees

Step-by-step explanation:

17^2 = 8^2 + 16^2 - 2 * 8 * 16 * cos (X)

289 = 64 + 256 - 16 * 16 * cos(X)

289 = 320 - 256 cos(X)

289-320 = -256 cos(X)

- 31 = -256 cos(X)

31 = 256 cos(X)

31/256 = 256/256 cos(X)

0.121094 = cos (X)

x = arccos 0.121094

x = 83.04475538

Answer:

d

Step-by-step explanation:

Answer:

It would be d since its 1/2 and there asking for the whole cake

Answer:

Sound travels 2258 feet in 2 seconds while travelling through air.

Step-by-step explanation:

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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There were 18 time trials recorded during the experiment.

To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.

According to the given information, we have:

- Two dots over 15

- Three dots over 17

- Two dots over 19

- Two dots over 20

- One dot over 21

- Four dots over 23

- One dot over 24

- Three dots over 25

By adding up these counts, we get:

2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18

Therefore, there were 18 time trials recorded during the experiment.

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Answer:

The correct answer is D. 110 degrees.

Step-by-step explanation:

Angles QPR and QPU are supplementary, which means that their sum adds up to a total of 180 degrees.  This fact lets us write the following equation:

<QPU + <QPR = 180

It is given by the diagram that the measure of <QPR is 70, so we can substitute this into the equation.

70 + <QPR = 180

Now, we can simply solve this equation to find the measure of <QPR by subtracting 70 from both sides.  This gives us,

<QPR = 110

Therefore, the correct answer is 110 degrees.

Hope this helps!

Answer:

y = -140x + 1400

Step-by-step explanation:

First, we'll find the slope, m, using the formula:

m = (160 - 780) / (8 - 4) = -620 / 4 = -155

Next, we'll use one of the points and the slope to find the y-intercept, b:

b = y - mx

We'll use the point (4, 780) to find b:

b = 780 - (4 * -155) = 1400

So the equation that models the balance, y, after x months is:

y = -155x + 1400

And since -155 can be simplified to -140, the equation becomes:

y = -140x + 1400

Therefore , the solution of the given problem of graphs comes out to be  (x, 3x) lies on the y = 3x graph.

Graphs are used by theoretical physicists to analytically and graphically represent coordinate claims so instead of values. Typically, a graph point shows the relationship between several different items. A graph is a particular kind of pas de subway structure composed of groups and lines. The boundary, also known as the channels, should be joined with glue.

Here,

The graph of y = 3ˣ contains a large number of nodes because y = 3ˣ is an exponential function with a variable y value for each x value.

However, the following particular locations are located on the graph:

=> Y = 3⁰ = 1 when x = 0. So, on the graph, the spot (0, 1) is where it should be.

=> If x = 1, then y = 3¹ = 3. As a result, the graph's spot (1, 3) is located there.

=> Y = 3⁻¹ = 1/3 when x = -1. As a result, the graph's point (-1, 1/3) is located there.

Generally speaking, any point with the coordinates

(x, 3x) lies on the y = 3x graph.

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Answer:

-78/15

Step-by-step explanation:

To divide fractions, we first need to convert the mixed number 4 1/3 to an improper fraction. To do this, we can multiply the denominator of the fraction (3) by the whole number (4) and add the numerator (1) to get the new numerator. The denominator remains the same:

4 1/3 = (4*3 + 1) / 3

= 13 / 3

We can then divide the two fractions by multiplying the numerator of the first fraction by the reciprocal of the second fraction:

(13/3) / (-5/6) = 13/3 * (-6/5)

= (-136) / (35)

= -78/15

The expression 4 1/3 divided -5/6 is therefore equivalent to the fraction -78/15.

$300 to $400

Step-by-step explanation:

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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