If Train A is moving 66 mph and is 456 miles from the station while Train B is moving 72 mph and is 502 miles away, which train arrives at the station first?

Answer:

  a + b - c - d

Step-by-step explanation:

The rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  (x^a)/(x^b) = x^(a-b)

Using these rules on your expression, we can simplify it to ...

  (3^a) · (3^b) ÷ (3^c) ÷ (3^d)

  = 3^(a+b) ÷ (3^c) ÷ (3^d)

  = 3^(a+b-c) ÷ (3^d)

  = 3^(a+b-c-d)

_____

The Order of Operations requires multiplication and division be evaluated left-to-right in order of appearance. The ÷ symbol means the same thing as the / symbol in this context: whatever is on its immediate left is divided by whatever is on its immediate right.

Answer:

7/32

Step-by-step explanation:

0.21875 can be expressed as the fraction 7/32.

To express the decimal number 0.21875 as a fraction, we can follow these steps:

Step 1: Write the decimal number as a fraction with the same value as the original decimal number.

In this case, 0.21875 can be written as 21875/100000.

Step 2: Simplify the fraction if possible by finding the greatest common divisor (GCD) of the numerator and denominator.

The GCD of 21875 and 100000 is 625.

By dividing both the numerator and denominator by 625, we get:

21875/100000

= (21875 ÷ 625) / (100000 ÷ 625)

= 35/160.

Step 3: Further simplify the fraction if possible.

In this case, we can divide both the numerator and denominator by 5 to simplify the fraction:

35/160 = (35 ÷ 5) / (160 ÷ 5) = 7/32.

Therefore, 0.21875 can be expressed as the fraction 7/32.

Learn more about fraction click;

https://brainly.com/question/10354322

#SPJ6

Answer:

Step-by-step explanation:

e

Answer: B- 72

Step-by-step explanation:

Answer:

[tex]2x^{3}-4x^{2}+24x-15[/tex]

Step-by-step explanation:

we have

[tex](2x^{3}+9x-8)-(4x^{2}-15x+7)[/tex]

step 1

Eliminate the parenthesis

[tex]2x^{3}+9x-8-4x^{2}+15x-7[/tex]

step 2

group terms that contain the same variable

[tex]2x^{3}-4x^{2}+(9x+15x)+(-8-7)[/tex]

step 3

Combine like terms

[tex]2x^{3}-4x^{2}+24x-15[/tex]

Answer:

(1,6)

Step-by-step explanation:

In this question, the point (1,2) is first reflected on the line y=0 then followed by line y=2

In the first reflection, y=0, the line is the x-axis, so the point (1,2) is reflected on the x-axis. The law here is that reflection of a point (x,y) on the x-axis, will result to an image of (x,-y)

The point is (1,2), its image will be (1,-2)

The new image (1, -2) is then reflected on the line y=2 but you should be aware that the x-coordinate will remain the same, but the y-coordinate will change. This is to say that the y coordinate value will shift the same number of units above the line y=2 as it is below the line y=2

Point (1,-2) reflected on line y=2 will result to an image (1,6). The x-coordinate value has remained the same, where as the y coordinate value has shifted 4 units above the line y=2 because it was 4 units below the line y=2.

Final image will be (1,6)

TRUE IT IS REALLY TRUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

True, all points to the of zero on a horizontal number line are negative.

Step-by-step explanation:

Detailed explanation is as follows:

* All points to the left of zero on a horizontal number line are negative.

* A number line is a picture of a graduated straight line that serves as abstraction for real numbers.

* This number line can be extended to the left to represent numbers which are smaller than 0.

Tags: horizontal number line, points to the zero

The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.

a. Find the radius of each pizza.

Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.

b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].

       [tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]

       The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]

       [tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]

c. Divide each area by the price.

        [tex]\frac{4.95}{47.49} = 0.10[/tex]

       [tex]\frac{3.75}{28.26} = 0.13[/tex]

Grade: 8th Grade

Subject: Geometry

Chapter: Applications for Area of Shapes

Keywords: circle, area, radius, diameter, cost, unit rate

Read more on Brainly.com - https://brainly.com/question/12878495

Answer:

1\2

Step-by-step explanation:

draw a circle split it where there are 6 slices color half red and white now color one of the slices green and the rest blue there are 2 slices out of 6 colored blue. Hope it helped! make sure to reduce

Final answer:

The spinner is half RED and WHITE, and the other half is BLUE and GREEN. With 1/6 of it being GREEN, the remaining fraction 1/3 of the spinner is BLUE.

Explanation:

To determine how much is BLUE on the mystery spinner, we must calculate the portions of each color. We know that the spinner is 50% RED and WHITE combined and the remainder is BLUE and GREEN. Since 1/6 of the spinner is GREEN, we have to find out what fraction is left for BLUE.

Firstly, we calculate what 50% is in fraction form, which is 1/2 of the spinner. Now, knowing that 1/6 of the spinner is GREEN, we subtract the GREEN fraction from the half not covered by RED and WHITE:

1/2 (portion of BLUE and GREEN) - 1/6 (portion of GREEN) = (3/6 - 1/6) = 2/6, which simplifies to 1/3.

Therefore, 1/3 of the spinner is BLUE.

The smallest angle occurs opposite the shortest side length of the triangle. So by the law of cosines we have

[tex]11^2=13^3+19^2-2\cdot13\cdot19\cos\angle J\implies\cos\angle J=\dfrac{409}{494}\implies\theta\approx\boxed{34^\circ}[/tex]

Answer:

The measure of angle J is 34°

Step-by-step explanation:

Given,

J is the smallest angle in the triangle with sides measuring 11, 13, and 19,

Thus, J must be the opposite angle of the side measuring 11,

Since, the law of cosines,

[tex]a^2 = b^2 + c^2 - 2bc cos A[/tex]

Where, a, b and c are the sides of a triangle ABC,

Such that angle A is opposite to the side measuring a,

By applying the law,

We can write,

[tex]11^2 = 13^2 + 19^2 - 2\times 13\times 19 cos J[/tex]

[tex]121 = 169 + 361 - 494 cos J[/tex]

[tex]\implies cos J = \frac{169+361-121}{494}=\frac{409}{494}[/tex]

[tex]\implies m\angle J=34.1127839945\approx 34^{\circ}[/tex]

Second option is correct.

Answer:

t = 11,794 years

Step-by-step explanation:

If you are looking for a confirmation that your answer is correct, it is.

Answer:I=103395.6

Step-by-step explanation:

Using the formula for calculating interest (I) which is PRT, you substitute the given values for principal (P), rate (R), and time (T) respectively. First, calculate the product of principal P and rate R, then multiply this result by the time (T). Hence, the estimated interest is $103,396.54.

The formula for calculating interest (I) is I = PRT. In your case, the principal (P) is $49,236.45, the rate (R) is 105% or 1.05 (we use decimal form for this calculation), and the time (T) is 2 years. To calculate interest, we substitute these values into the formula as follows:

I = $49,236.45 * 1.05 * 2

First, calculate the product of principal and rate: $49,236.45 * 1.05 = $51,698.27

Next, multiply this result by the time: $51,698.27 * 2 = $103,396.54

Therefore, the estimated interest is $103,396.54

https://brainly.com/question/29192314

#SPJ2

Answer:

  "halfway between"

Step-by-step explanation:

The zero crossings are symmetrical about the line of symmetry, which is a vertical line through the vertex. The x-coordinate of the vertex s the average of the two x-intercepts, so lies between them--exactly halfway between them.

Answer:

Between

Step-by-step explanation:

The Vertex is a point where two or more curve meets. In the case of a quadratic equation, the vertex is at the minimum point (if a is positive) or at the maximum point (if a is negative).

When the graph of a quadratic function crosses the x-axis twice, the x-coordinate of the vertex lies between the two x-intercepts.

Note that the two x-intercepts are the roots of the quadratic function.

Answer:

B. infinite solutions along a line

Step-by-step explanation:

The matrix is equivalent to the equations ...

x = 2

y = 9

0z = 0 . . . . . . true for any z

This tells you the solutions are ...

(x, y, z) = (2, 9, z)

This defines a line parallel to the z-axis.

Answer:

it would be 3.33%

Step-by-step explanation:

Answer:

  about 5.55%

Step-by-step explanation:

The interest formula is ...

  i = Prt

where i is the interest earned, P is the principal amount, r is the annual rate, and t is the number of years. Fill in the given information and solve for the remaining variable.

  5000 = 15000·r·6

  5000/90000 = r = 1/18 ≈ 5.55% . . . . . divide by the coefficient of r

____

Comment on the answer

The decimal value of 1/18 is 0.0555555... repeating indefinitely. Rounded to 3 digits, it would be 5.56%. The offered answer choices seem to give more attention to the repeating digits than to proper rounding.

Answer:

168

Step-by-step explanation:

132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168

Answer:

  After you swap the top two descriptions on the right, everything matches  straight across.

Step-by-step explanation:

1. The circle described is the incircle, circumscribed by the polygon.

2. When the tangent line separates the centers of the circles to which it is tangent, it is called an internal tangent.

3. An external tangent will be parallel to or will intersect the line joining circle centers at a point not between any of those centers.

4. A tangent to a circle is coplanar with the circle and intersects it in exactly one point.

Answer: I think is A

Step-by-step explanation:

You do y2-y1/x2-x1 and get a slope of 3 and according to the graph when the x is 3 the y is about 2 hope this help

Answer:

A

Step-by-step explanation:

if you do all the math will see that A is correct and the other guy said its A so its defently A

The answer is:

The area of the rhombus is equal to 64 squared inches.

[tex]area=64in^{2}[/tex]

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

[tex]area=\frac{diagonal_{1}*diagonal_{2}}{2}[/tex]

From the image we can see that:

[tex]diagonal_{1}=8in+8in=16in[/tex]

[tex]diagonal_{2}=4in+4in=8in[/tex]

So, substituting, we have:

[tex]area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}[/tex]

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

Answer: SECOND OPTION.

Step-by-step explanation:

You can calculate the area of the rhombus with this formula:

[tex]A=\frac{d_1*d_2}{2}[/tex]

Where [tex]d_1[/tex] and [tex]d_2[/tex] are the lengths of the diagonals.

You can observe in the figure that the length of each diagonal is:

[tex]d_1=4in+4in=8in\\d_2=8in+8in=16in[/tex]

Now you can substitute the lenghts of the diagonals into the formula. Therefore, the area of this rhombus is:

 [tex]A=\frac{(8in)(16in)}{2}[/tex]

 [tex]A=\frac{128}{2}[/tex]

 [tex]A=64in^2[/tex]

Answer:

4.) 2.5%

Step-by-step explanation:

1/20 = 5/100 = 5%

If that value is cut in half, it becomes ...

(1/2)×5% = 2.5%

Answer:

The correct option is 4) 2.5%

Step-by-step explanation:

Consider the provided information.

One of every 20 customers reports poor customer service on your company’s customer satisfaction survey.

First find the 1 is how much percent of 20.

[tex]\frac{1}{20}\times 100=1\times 5=5\%[/tex]

That means 5% of customers reports for poor customer services.

It is given that, You have just created a new process that should cut the number of poor customer service complaints in half.

Previously 5% of customers was not satisfy with the customer services, now only half of it not satisfy the customer service.

[tex]\frac{1}{2}\times 5\%=2.5\%[/tex]

Hence, the correct option is 4) 2.5%

Answer:

D (1,0)

Step-by-step explanation:

Let the coordinates of D be (a,b).

The diagonals of a parallelogram bisect each other.

The midpoint of AC should be the same as the midpoint of BD.

[tex](\frac{-2+4}{2},\frac{4+-1}{2}) =(\frac{1+a}{2} ,\frac{3+b}{2})[/tex]

[tex](\frac{2}{2},\frac{3}{2}) =(\frac{1+a}{2} ,\frac{3+b}{2})[/tex]

Compare corresponding coordinates

This implies that:

[tex]1+a=2[/tex], [tex]3+b=3[/tex]

[tex]a=2-1[/tex], [tex]b=3-3[/tex]

[tex]a=1[/tex], [tex]b=0[/tex]

Therefore the coordinates of D are: (1,0)

Answer:

Option D for plato users

Step-by-step explanation:

D.  (1, 0)

Answer:

$295.01

Step-by-step explanation:

Using the compounding continuously formula, we are looking for A.  We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4.  Filling in we have:

[tex]A=190e^{(.11)(4)}[/tex]

Simplifying that multiplication:

[tex]A=190e^{.44}[/tex].

On your calculator, raise e to the .44 power to get

A = 190(1.552707219) and

A = $295.01

The investment should be worth in 4 years is $295.01.

Given that,

Based on the above information, the calculation is as follows:

[tex]A = 190e^{0.11 \times 4}\\\\= 190e^{-44}\\\\= 190\times 1.55\\\\[/tex]

= $295.01

Learn more: https://brainly.com/question/1289629?referrer=searchResults

Answer:

Multiply the number of notebooks by the weight of one notebook.

When multiplying a whole number by a fraction, multiply the whole number by the top number of the fraction, and then divide that by the bottom number of the fraction.

56 x 5 = 280

280 / 8 = 35

The 56 notebooks weigh 35 pounds.

Answer:  $67.20

Step-by-step explanation:

store buys jacket at 60 dollars and marks it up 12%

$60 x .12% = $7.20

$60 + $7.20 = $67.20

Answer:

  29 × 51 inches

Step-by-step explanation:

If the scale is ...

  photo : painting = 1 : 3

then each dimension of the painting is 3 times the corresponding dimension of the photo. The painting is (3×13) by (3×17) inches, or 39 × 51 inches.

Answer:

there is a 25% chance that Tim takes 2 red sweets.

Step-by-step explanation:

P (2 red sweets)= 2/8

2/8 ÷ 2= 1/4

1/4= .25

.25= 25%

Answer:

[tex]\displaystyle r=\sqrt{\frac{539}{\pi\cdot h}}[/tex]

Step-by-step explanation:

Fill in the value of the volume and solve for r.

[tex]539=\pi\cdot r^2\cdot h\\\\\dfrac{539}{\pi\cdot h}=r^2 \quad\text{divide by the coefficient of $r^2$}\\\\r=\sqrt{\dfrac{539}{\pi\cdot h}} \quad\text{take the square root}[/tex]

Answer:

4.6

Step-by-step explanation:

Formula: Range = highest value - lowest value

Step 1: List all the data in ascending order

1.8, 2.4, 3.5, 4.9, 5.2, 6.4

Step 2: Identify the lowest and highest number

Lowest number : 1.8

Highest number : 6.4

Step 3 : Substitute the values in the formula

Range = highest value - lowest value

6.4 - 1.8 = 4.6

!!

Answer:

Explanation:

For the first question, the mathematical (statistical, to be more precise) definition of a event that is impossible is that its probability is zero.

There are two extremes when you talk about probability: 0 and 1. 0 means that the event cannot occur in any way, while 1 is that the event is certain (it cannot not happen).

An example of an event with probability 0 is: men born in the Sun. This is an impossible event, and so there is no chance (probability 0) to find a man born in the Sun.

For the second question, when you deal with empirical results, this is with an experiment, the fact of having a probability zero as result of approximations does not make that an event be impossible; the event is unlikely (if the experiments were carried out properly) but yet it can happen.

For example, say you put 1,000 ballots in a bag with the number 3, together with 1 ballot with the number 9. Then, you perform the experiment of drawing a ballot 2,000 times. Suppose you draw the ballot with the number 9 two times. In that case, your approximated experimental probability of drawing a 9 will be 2 /2,000 = 0.001. Which you could round to 0.00. That may be valid but it cannot be taken as that the event of drawing the ballot with the number 9 is impossible, it is just unlikely.

Answer:

0

Step-by-step explanation:

Answer:

11/381

Step-by-step explanation:

Not sure what the ? after each number means but I'm going to assume they aren't there

so we need find the number of tokens in all which is

44+1414+66=1524

P(red)=44/1524 now reduce giving P(red)=11/381

Moderators please delete this answer.