Find the value of a2 and square root b, when a=12 and b=9.

Answer:

It will take 1 hour and 12 minutes for the two trains to be 192 miles apart

Step-by-step explanation:

The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.

The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.

Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.

Solving for the elapsed time

distance traveled = (speed of first train + speed of second train) * elapsed time

192 miles = (85mph + 75 mph) * elapsed time

192 miles = 160 mph * elapsed time

elapsed time = 192 miles / 160 mph

elapsed time = 1.2 hours

elapsed time = 1 hour and 12 minutes

It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.

Answer: y≤ [tex]\frac{7}{3}x+2[/tex]

Step-by-step explanation:

Since we are given the equation, all we have to do is to fix the inequality. We have four options: <, >, ≤, and ≥. The line in the graph is a solid line. This means the line reaches and is equal to the points on the line. We can automatically eliminate ≤ and ≥. Now, we know the answer is ≤. The shading shows that the answer is less than 7/3x+2. In other words, y≤ [tex]\frac{7}{3} x+2[/tex].

Answer:

y = -2x + 8

Step-by-step explanation:

The slope is given, and if we plug in 2 and 3 for y and x respectively, we can solve to get b=8. When graphed, it looks like the picture below.

Answer:

150 paperclips

Step-by-step explanation:

set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips

cross multiply so you get 16x = 2400

solve for x by dividing 2400 by 16

you should get x = 150

Answer:

The area is 25 :)

Step-by-step explanation:

This Is An Obtuse scalene triangle.

Sides: a = 17.205   b = 13.454   c = 5

Area: T = 25

Perimeter: p = 35.658

Angle ∠ A = α = 131.987° = 131°59'14″ = 2.304 rad

Angle ∠ B = β = 35.538° = 35°32'16″ = 0.62 rad

Angle ∠ C = γ = 12.475° = 12°28'30″ = 0.218 rad

Height: ha = 2.906

Height: hb = 3.716

Height: hc = 10

Median: ma = 5.385

Median: mb = 10.735

Median: mc = 15.24

Inradius: r = 1.402

Circumradius: R = 11.573

Vertex coordinates: A[3; 4] B[8; 4] C[-6; -6]

Centroid: CG[1.667; 0.667]

Coordinates of the circumscribed circle: U[0; 0]

Coordinates of the inscribed circle: I[1.963; 1.402]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 48.013° = 48°46″ = 2.304 rad

∠ B' = β' = 144.462° = 144°27'44″ = 0.62 rad

∠ C' = γ' = 167.525° = 167°31'30″ = 0.218 rad

Answer:

220 degrees

Step-by-step explanation:

An inscribed angle is always one-half the measure of either the central angle or the intercepted arc sharing endpoints of the inscribed angle's sides.

Answer:  the answer that I got was 24

Step-by-step explanation:

I hope it’s right and it helps!

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex](-1)\times (-(-2)) \times (-(-(-3))) \times (-(-(-(-4)))[/tex]

Negative times negative is positive.

Negative times negative times negative is negative.

Negative times negative times negative times negative is positive.

[tex](-1)\times (+2) \times (-3) \times (+4)[/tex]

Multiply.

[tex]-1 \times 2 \times -3 \times 4[/tex]

[tex]= 24[/tex]

Answer:

ASA

Step-by-step explanation:

<M is congruent to <Q

MO is congruent to QO

<MON is congruent to <QPO by vertical angles

That gives you ASA (angle-side-angle).

Answer:

[tex]30[/tex]

Step-by-step explanation:

Here, we will have to use [tex]LCD[/tex] or, least common denominator.

The least common [tex]LCD[/tex] here that we will be using is going to be 30. We can always make sure by multiplying.

[tex]\frac{3}{10}[/tex]*[tex]\frac{3}{3}[/tex][tex]=\frac{9}{30}[/tex]

Our final answer for the first fraction is [tex]\frac{9}{30}[/tex] which could be simplified back to [tex]\frac{3}{10}[/tex].

For the second fraction, we will be multiplying with [tex]\frac{2}{2}[/tex].

[tex]\frac{2}{15}[/tex]*[tex]\frac{2}{2}[/tex][tex]=\frac{4}{30}[/tex].

Again, it simplifies back to [tex]\frac{2}{15}[/tex].

Hence, the [tex]LCD[/tex] is [tex]30[/tex].

Hope that helps:D

-Jazz

Answer:

Equation of the line; y=x+3

Step-by-step explanation:

Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.

Equation of a line: y=mx +b

Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

8-6/ 5-3= 2/2 = 1

y=x+b

Substitute the points in.

y= 8

x = 5

8 = 5+b

b= 3

The y-intercept is 3.

y=x+3

Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)

Answer:

5 1/2 MILES

Step-by-step explanation:

$5.00-$.80=$4.20

4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES

Hope this help!

his is confusing

explanation:

Answer:

79.9 feet.

Step-by-step explanation:

If you draw out the problem, you can easily visualize it.

We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).

tan(53) = (100 + 6) / x

tan(53) = 106 / x

x = 106 / (tan(53))

x = 106 / 1.327044822

x = 79.87672931

Round your answer to the nearest tenth!

So, the park is approximately 79.9 feet away!

Hope this helps!

Answer:

20.56 units.

Step-by-step explanation:

Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.

Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]

Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]

Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]

Here, r is the radius. So,

[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]

Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]

Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs

                             [tex]=8+12.56[/tex]

                             [tex]=20.56\text{ units}[/tex]

Therefore, the perimeter of the shaded region is 20.56 units.

Answer:

The correct option is;

C. 0.3337

Step-by-step explanation:

We note that for a binomial probability distribution, we have;

[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]

Which gives;

[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]

[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]

[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]

[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]

[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]

[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]

[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]

[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]

[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]

[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]

[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]

[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]

P(r≥90)  is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 +  0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.

Step-by-step explanation:

|-x|<1 --> -1<-x<1 --> -1<x<1

so the graph is the striped part

Answer:

Step-by-step explanation:

We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height

ADE is a triangle . Its area is the product of the height and the base(DE) over 2

So the triangle and the parallelogram have the same area

Answer:

$8.17

Step-by-step explanation:

I got it correcty on the test.

The costs $0.045 per square inch will be $8.17. Then the correct option is B.

Let the length of the cube be a.

Then the surface area of the cube will be

SA = 6a²

If a moving box that is an 5.5 inch cube is being wrapped.

Then the surface area of the cube will be

SA = 6 x (5.5)²

SA = 181.5 square inches

Then the costs $0.045 per square inch will be

Total cost = 181.5 x 0.045

Total cost = $8.1675 ≈ $8.17

Then the correct option is B.

More about the surface area of the cube link is given below.

https://brainly.com/question/13789496

#SPJ2

Answer:

121°

Step-by-step explanation:

The sum of the a triangle's angles is 180°

so the missing angle: 180°-(87°+34°) = 59°

so z°= 180°-59°=  121°

Answer:

121º

Step-by-step explanation:

Once interior angles of a triangle sum 180º, the remaining angle is:

34º + 87º + x = 180º

x = 59º

Once ∠x and ∠z are supplementary angles (add up to 180º), ∠z = 121º

Answer:

(6,0)

Step-by-step explanation:

A zero of an equation is the x-intercept of the graph, meaning whenever the graph hits the x-axis. You can see that (2,0) and (6,0) are the x-intercepts, as I can see from the picture of the graph. There are other ways to solve this as well, but there is no need since the graph is provided. I hope this helps you!! Have a great rest of your day.

Answer:

If we add the Replaced, the Left, that would be 28 LB, 14 boxes.

Answer:

at most or at least

Step-by-step explanation:

Answer:

The roots are {2, -1/3}

Step-by-step explanation:

The coefficients of this quadratic function are a = 3, b = -5 and c = -2.

Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.

The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.

Thus, the roots are:

      -(-5)±√49        5 ± 7

x = ---------------- = ------------ = 2 and -1/3

          2(3)                  6

Answer: 1/250

Step-by-step explanation:

Given the recurring decimal : 0.004

Firstly:

Let x = 0.004 - - - (1)

Due to the number of decimals places and value of x;

We multiply (1) by 1000 to obtain an integer

Multiply (1) by 1000

1000x = 4 - - - (2)

From (2) we can solve for x and leave our answer as a fraction.

Divide (2) by 1000 to obtain the value of x

1000x / 1000 = 4 / 1000

x = 1 / 250

Recall x = 0.004

Therefore, x = 0.004 = 1/250

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Answer:

(f circle g) (x) = 3x^2 + 5

Step-by-step explanation:

To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:

(f circle g) (x) = 3(x^2 + 1) + 2, or

                         3x^2 + 3 + 2, or

(f circle g) (x) = 3x^2 + 5

Answer:

(f circle g) (x) = 3x^2 + 5

Step-by-step explanation:

Answer:

When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.

Answer:

L'(-7, -7), M'(-9, 9), and N'(5, 5)

Step-by-step explanation:

Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)

so L'(-7, -7), M'(-9, 9), and N'(5, 5)

The question was incomplete. Please check below the full content.

Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?            

a) L(-7, -7) M(-9. -9) N(5, 5)

b) L(-7. -7) M(-9. 9) N(5, 5)

c) L(-7, -7) M(-9, 9) N(5, -5)

d) L (7, -7) M(9, 9) N(-5, 5)      

The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are

L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.

Rotation of a point :

Let the rotations of L, M, and N are L', M', and N' respectively.

Hence  L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices

 L, M, and N of ΔLMN about the origin by 90°.

To know more about the rotation of a point:

https://brainly.com/question/27648576?referrer=searchResults

#SPJ2

Answer:

B

Step-by-step explanation:

Interior angles of a triangle = 180°

3x°+3x+10°+4x-30°=180°

10x°-20°=180°

10x°=180°+20°

10x°= 200°

10x°/10=200°/10

x°=20°

Hence, the angle is [tex]x=20[/tex] degree.

What is the angle?

An angle can be defined as the figure formed by two rays meeting at a common end point.

Here given that,

As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.

[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]

Hence, the angle is [tex]x=20[/tex] degree.

To know more about the angle

https://brainly.com/question/15277238

#SPJ2

Answer: 1280 dollars

Step-by-step explanation:

Given that the assessed value of a property is $ 16,000.

If the tax rate is $8/$100 of value. That is, 8 dollars in every 100 dollars.

Divide both value of the property by 100.

16000/100 = 160 dollars

Then, multiply it by 8 dollars

8 × 160 = 1280 dollars

The annual tax for the property is therefore, 1280 dollars.

OR

First find the rate or percentage of the tax which will be:

8/100 = 8%

Find the 8% of the value of the property which is 16000 dollars

8/100 × 16000 = 1280 dollars

Answer:  2 (x + 5) + 2 (3 x minus 2) = 60

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Length = 3 x minus 2

Width = x + 5.

Since:

Perimeter of a rectangle = 2 length +2 width

Replacing with the values given:

60 = 2 ( x+5)+ 2 (3x minus 2 )

So, the correct option is:  

2 (x + 5) + 2 (3 x minus 2) = 60  

Feel free to ask for more if needed or if you did not understand something.

The correct one is option C.

Good luck!!!