A square mesaures 80 yd on a side. Bob and Rob begin running from the same corner. Bob runs along a side to an adjacent corner, and Rob runs along a diagonal to an opposite corner. They arrive at their respective corners at the same time. If Bob's speed was 8mi/h, what was Rob's speed? Express your answer as a decimal to the nearest tenth.

Answer: The second choice

Step-by-step explanation:

Absolute value is the distance a number is from 0 on the number line.  Thus, the absolute value of -8 is 8, which is greater than the absolute value of -6, or 6.

Hope it helps <3

Answer:

Step-by-step explanation:

the second option, |-6| < |-8|.

Answer:

2+(11+y)=(2+11)+y=11+(2+y)

Answer:

Sample Response: The associative property allows you to keep the order of the terms and change the position of the parentheses. So you can rewrite the terms in the same order and then move the parentheses so that the 2 + 11 is now inside. The equivalent expression is (2 + 11) + y.

Step-by-step explanation:

E d g e n u i t y

Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r  , where r is the circle's  radius

So C=2*4.5*π=9*π= approx   3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD),  where arcBC and arcAD smaller arcs

BD is the circle's  diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

Answer:

No.

Step-by-step explanation:

Substitute 4 (as x) and 2 (as y) into the 2 equations to see if they fit.

y = x - 2

2 = 4 - 2

2 = 2

The first equation is true for (4,2).

Now try the 2nd one.

y = 3x + 4

2 = 3(4) + 4

2 ≠ 16

So the 2nd equation is not true for (4,2).

Either one not true makes the solution incorrect.

No, (4, 2) is not the solution for system of Equation.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.

To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

Equations:

y= x-2 ............(1)

y= 3x+ 4.................(2)

Put the value of y from equation 1 to equation (2), we get

x- 2 = 3x+ 4

x- 3x = 4+ 2

-2x = 6

x= -3

and, y= -3 -2 = -5

So, the solution to the system is (-3, -5)

and, (4, 2) can only satisfy the Equation y= x-2 but does not satisfy y= 3x+ 4.

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Answer:

I dont give the answer right away so you read what i write and fully understand :D

Step-by-step explanation:

The reciprocal of something is basically when you flip something over. Since 17h/46j is a fraction, the reciprocal is 46j/17h. Remember, a number times the reciprocal is always equal to one.

Answer:

46j over 17h

Step-by-step explanation:

a reciprocal fraction is formed by flipping the fraction around

for example:

2/3

reciprocal= 3/2 or 1.5

HOPE THIS HELPS!!! :)

Answer:

The graph of IxI is:

y = x for values of x ≥ 0

y = -x for values of x ≤ 0

Then you will see a "V", with the arms pointing up and the vertex in the point (0, 0)

(Something like in the image, but with the arms pointing upside instead of downside)

The actual graph is:

Answer:

x = 9

Step-by-step explanation:

Well to find x we need to use the commutative property which is the moving of numbers and variables to either side of the equation,

|2x - 19| = 4x + 1

-2x to both sides

|-19| = 2x + 1

Absolute value of -19 is 19

19 = 2x + 1

-1 to both sides

18 = 2x

Divide 2 to both sides

x = 9

Thus,

x is 9.

Hope this helps :)

The value of x is -10 when the equation is |2x-19| = 4x + 1

Two or more expressions with an Equal sign is called as Equation.

The given equation is |2x-19| = 4x + 1

Mod of two times of x minus nineteen equal to four times of x plus one.

|2x-19| = 4x + 1

2x-19=4x+1

Now add 19 on both sides

2x=4x+20

Subtract 4x on both sides

-2x=20

Divide both sides by 2

x=-10

Hence, the value of x is -10 when the equation is |2x-19| = 4x + 1

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Answer:  A) N'=(-2, 2) M'=(-1, 0)  L'=(-5, -2)

Step-by-step explanation:

N = (-2, -4)      M = (-3, -2)       L = (1, 0)

Reflection over y = -1

N' = (-2, 2)      M' = (-3, 0)       L' = (1, -2)

Reflection over x = -2

N'' = (-2, 2) M'' = (-1, 0)  L'' = (-5, -2)

Answer:

The answer is

Step-by-step explanation:

(4k – 4) + ( –9k – 5)

Remove the bracket and simplify

That's

4k - 4 + - 9k - 5

4k - 4 - 9k - 5

Group like terms

4k - 9k - 4 - 5

We have the final answer as

- 5k - 9

Hope this helps you

We can use FOIL to solve:

(4k - 4) + (-9k - 5)

(4k * -9k) + (4k * -5) + (-4 * -9k) + (-4 * -5)

-36k - 20k + 36k + 20

-20k + 20

Best of Luck!

Answer:

[tex]\tan A=\frac{10}{24}=\frac{5}{12}[/tex]

Step-by-step explanation:

The easiest way to remember sine, cosine, and tangent ratios is to use SOH-CAH-TOA as an acronym.

SOH - Sine: Opposite over hypotenuse

CAH - Cosine: Adjacent over hypotenuse

TOA - Tangent: Opposite over adjacent

Note that these are referring to the position of the sides relative to the angle you are looking at. In this case, that is angle A. Since it's tangent, we have:

[tex]\tan A=\frac{10}{24}=\frac{5}{12}[/tex]

Answer:

1:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1:6

Answer:

12.5

Step-by-step explanation:

(7.5+2.5)x2.5/2

Answer:

12.5 units ^2

Step-by-step explanation:

This figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) *2.5

   = 1/2 ( 10) * 2.5

   =12.5 units ^2

Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

P(X) = [tex]\left[\begin{array}{ccc}n\\X\end{array}\right][/tex].[tex]p^{x}.(1-p)^{n-x}[/tex]

P(20) = [tex]\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}[/tex]

P(20) = [tex]\frac{53!}{33!.20!}.3.5.10^{-11}.7.7.10^{-6}[/tex]

P(20) = 0.0552

To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

n . p = 53*0.3 = 15.9

n.(1-p) = 53(1-0.3) = 37.1

Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = [tex]\sqrt{n.p.(1-p)}[/tex] = 3.34

Find the z-score:

z = [tex]\frac{x - mean}{sd}[/tex] = [tex]\frac{20-15.9}{3.34} = 1.23[/tex]

z-score = 0.8907

Comparing values:

0.8907 - 0.0552 = 0.8355

Answer:

y= 250( 1-0.21)^x

Step-by-step explanation:

This represents exponential decay

The equation represents a population of 250 animals that decreases at an annual rate of 21% will be p = 250(0.79)[tex].^t[/tex] The correct option is C.

The mathematical expression f(x)=[tex]e^t[/tex] denotes the exponential function. The term typically refers to the positive-valued function of a real variable, unless otherwise specified.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that a population of 250 animals is decreasing at an annual rate of 21%.

p = a x b[tex].^t[/tex]

p = a x (1+r)[tex].^t[/tex]

p = 250 x (1+(-0.21))[tex].^t[/tex]

p = 250(0.79)[tex].^t[/tex]

Note that r = -0.21 is negative to indicate we have exponential decay.

Hence, the equation represents a population of 250 animals that decreases at an annual rate of 21% will be p = 250(0.79)[tex].^t[/tex] The correct option is C.

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Answer:

its a postulate

Step-by-step explanation:

The statement represents a geometric postulate.

A postulate is one of the basic concepts of geography, and indicates an assumption that is accepted as true in the given theory.  

In this way, the main characteristic of the postulate is its general acceptance by the spectrum that studies it, that is, by the totality or vast majority of the scientists who are dedicated to its analysis.

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Answer:

Right rectangular prism

Solve for height

h=4cm

l Length

9

cm

w Width

5

cm

V Volume

180

cm³

Answer:

Step-by-step explanation:

volume of rectangular prism=l×w×h

9×5×h=180

h=4 cm

where h is the  height of prism.

Answer:

The map distance would be 2.8 cm

Step-by-step explanation:

Use the proportion given by the following relationship, where you use "x" as the unknown value in cm:

[tex]\frac{1\,\,cm}{5\,\,km} =\frac{x}{14\,\,km} \\\frac{1\,\,cm\.\,(14\,\,km)}{5\,\,km} =x\\x=2.8\,\,cm[/tex]

Answer:

-∞<x<∞

Step-by-step explanation:

volume of a cube=s^3

the domain is (-∞,∞) the domain is all the real number of s

Answer: the slope is 1.5 and the y-intercept is -2.

Step-by-step explanation:

Assuming you meant 1.5x-2 and accidentally pressed shift to turn - into _.

This equation is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Thus, the slope is 1.5 and the y-intercept is -2.

Hope it helps <3

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▹ Answer

[tex]Slope = 1.5\\\\Y-intercept = -2[/tex]

▹ Step-by-Step Explanation

(I'm assuming the underscore was meant as a minus sign)

[tex]Slope \\equation \\\\ y = mx + b\\\\[/tex]

mx represents the slope and b represents the y-intercept.

Therefore:

1.5 is the slope, and -2 is the y-intercept.

Hope this helps!

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Brainliest is greatly appreciated!

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Answer: 0.18

Step-by-step explanation:

P(1 unit is defective)= C2  1* P^1*Q^1

C2 1= 2!/(1!*(2-1)!)=2

P=0.1 - probability that items from a production line are defective  

Q=1-0.1=0.9 - probability that items from a production line are functional.

P(1 unit is defective)= 2*0.1*0.9=0.18

Answer:

1) x=58, y=109

2) x=72, y=36

3) x=60, y=48

Step-by-step explanation:

1) 58 and x are so-called "F-angles" (a.k.a "corresponding angles), so x=58°

The angle on the other side of the 58 is 180-58 = 122 because they are supplementary. We need this one to calculate y.

The sum of angles in a quadrilateral is 360°, so 71 + 58 + 122 + y = 360, so y = 109

2) There are two isosceles triangles. Due to the symmetry, the bottom left angle is also 72, leaving 180-72-72 = 36 for y. The top triangle is the same triangle rotated, so x = 72.

3) Due to the parallel lines, the left angle of the top triangle is also 72, making the supplementary angle below it 180-72=108. The sum in the quadrilateral must be 360, so 72+108+2x+x=360, so 3x=180, x=60.

The sum in the outer triangle must be 180, so 72+y+x = 180, leaving y = 180-72-60 = 48

The answer is A. Dilate circle A by a scale factor of 3

I took the test :)

Answer:A

Step-by-step explanation:

Answer:

2 and angle that is left of 5

Step-by-step explanation:

Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.

Answer:

120

Step-by-step explanation:

Let's say you put them on the shelf one by one, from left to right.

You can pick 1 of the 5 for the first position.

5

Now you have 4 books left. You pick one out of those 4 for the second position.

5 * 4

There are 3 choices left for the 3rd position.

5 * 4 * 3

2 left for the 4th position.

5 * 4 * 3 * 2

Finally, there is one book left for the 5th position.

5 * 4 * 3 * 2 * 1

Now we multiply:

5 * 4 * 3 * 2 * 1 = 120

Answer:

No solutions

Step-by-step explanation:

3x^2=y

3(-2)^2=1

Follow P.E.M.D.A.S.

3(4)=1

12=1

Hello!

Answer:

A) Yes.

B) No.

C) Yes.

D) Yes.

Step-by-step explanation:

To find the correct solutions to this question, we can go through each choice and check for their congruency:

A) Yes. ∠8 is congruent to ∠5 because ∠5 and ∠8 are vertical angles.

B) No. ∠5 is not congruent to ∠6 because ∠5 and ∠6 are supplementary to each other.

C) Yes. ∠5 is congruent to ∠1 because corresponding angles are congruent.

D) Yes. ∠5 is congruent to ∠4 because alternate exterior angles are congruent.

A) The angle 8 should be congruent so it should be Yes.

B) The angle 6 should be congruent so it should be No.

C) The angle 1 should be congruent so it should be Yes.

D) The angle 4 should be congruent so it should be Yes.

The congruent angles are those angles in which the corresponding sides and angles should be of equal measure.

A) Yes. ∠8 is congruent to ∠5 since ∠5 and ∠8 are vertical angles.

B) No. ∠5 is not congruent to ∠6 since ∠5 and ∠6 are supplementary to each other.

C) Yes. ∠5 is congruent to ∠1 since corresponding angles are congruent.

D) Yes. ∠5 is congruent to ∠4 since alternate exterior angles are congruent.

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Answer:

no solution

Step-by-step explanation:

use the second equation because y is already by itself

-4 x = y + 8

y = -4x - 8

substitute:

12x + 3(-4x - 8) = 22

distribute the 3:

12x -12x - 24 = 22

0 - 24 = 22

-24 ≠ 22

Answer:

A. y ≤ 1/2x + 2

Step-by-step explanation:

Well look at the graph,

It is a solid line with it shaded down,

meaning it is y ≤,

So we can cross out B. and D.

So the y intercept is 2, we know this because the y intercept is the point on the line that touches the y axis.

now the slope can be found by seeing how far away each points are from each other,

Hence, the answer is A. y ≤ 1/2x + 2

Answer:

b

Step-by-step explanation:

A, b, c, and d are all points. the line segements are: ab, bc, cd, da, and ac