if the scale of a map is 1 in = 62.5 mi, how long is the distance on the map if the actual distance between the two cities is 218.75 miles

Answer:

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

Open parenthesis to convert it into standard form:

Answer:

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

Answer:

  21°

Step-by-step explanation:

Dilation is a similarity transformation. It does not change angles. It changes lengths proportionally.

∠A'B'C' ≅ ∠ABC = 21°

1 is the answer......

WHATS UP KID

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.

Answer:

Step-by-step explanation:

5/6

Answer:

[tex]someone \: needs \: to \: g et \: laid \\ [/tex]

Step-by-step explanation:

in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.

what simple figures can we see here ?

I see a rectangle 80m × 130m.

and that leaves for me a right-angled triangle in the upper right corner with the legs of

250-80 = 170 m and 130-50 = 80 m

the area of a rectangle is

length × width

the area of a right-angled triangle is

leg1 × leg2 / 2

the individual areas are

80×130 = 10,400 m²

170×80/2 = 170×40 = 6,800 m²

and that gives us a total for the whole area

10400 + 6800 = 17,200 m²

Answer:

The options that show the Commutative Property of Multiplication are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)  

------------------------------

The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:

Of the options, the ones which show it are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)

In C), on the left side, the first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.

Step-by-step explanation:

-lukelaws

Answer:

Step-by-step explanation:

These shows the commutative property.

Hope it helps~

Z-scores are used to determine the probability of data. The z-score for the given parameters in normal distribution is -6.35

The formula given to calculate the z-score is expressed as:

[tex]z = \dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}} }[/tex]

Given the following parameters:

Mu = 1.36

n = 28
[tex]\sigma = 5[/tex]

Mean = 130

Substitute into the formula

[tex]z = \dfrac{130-136}{\frac{5}{\sqrt{28}} }\\ x = \frac{-6}{0.9449} \\z = -6.35[/tex]

Hence the z-score for the given parameters in normal distribution is -6.35

Learn more on z-score here: https://brainly.com/question/25638875

Answer:

Girl how do you not know this is the most easiest thing /hj

Step-by-step explanation:

its a linear and strong association bc the dots are very refined and stuck together very well

Answer:

B

Step-by-step explanation:

Combine like terms

8x + x = 9x

Put the numbers in the correct format

x³ + 9x + 5

This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.

I hope this helps and please mark me as brainliest!

Answer:

The answer is B

Step-by-step explanation:

It is a cubic and a trinomial

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

To learn more about distance between 2 points click :

https://brainly.com/question/12661159

#SPJ7

Answer:

  70 yards wide and 135 yards long

Step-by-step explanation:

The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.

__

The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.

A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.

_____

Check

Given perimeter: 2(80 +125) = 410 yds.

Modified perimeter: 2(70 +135) = 410 yds. (same)

Given area = 80(125) = 10000 yd².

Modified area: 70(135) = 9450 yd². (smaller)

__

Additional comment

The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.

Answer:

well its free

Step-by-step explanation:

asdasdasdasd

19/12

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

Explanation:

Use the triangle inequality theorem to set up these three inequalities

If you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above

We'll ignore the third inequality. It's not very useful because we were already told that x > 0.

The first two inequalities combine to get 3/4 < x < 11/2

This is the range of possible x values so that triangle ABC is possible.

---------------

If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.

The rule is: the largest angle is always opposite the longest side. This applies to triangles only.

Since BC is the longest side, this means BC > AB and BC > AC

---------------

Let's focus on the first inequality

BC > AB

x+7 > x+4

7 > 4

That's true regardless of what we pick for x. So BC is always longer than AB.

---------------

Now onto the second inequality

BC > AC

x+7 > 4x

7 > 4x-x

7 > 3x

3x < 7

x < 7/3

Now recall that we found earlier x > 3/4 or 3/4 < x

Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3

---------------

Notice the middle part of that compound inequality is x and BC = x+7

If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.

3/4 < x < 7/3

3/4+7 < x+7 < 7/3+7

3/4 + 28/4 < x+7 < 7/3 + 21/3

31/4 < x+7 < 28/3

31/4 < BC < 28/3

The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.

---------------

The last step is to compute n-m

n-m = (28/3) - (31/4)

n-m = (112/12) - (93/12)

n-m = (112-93)/12

n-m = 19/12 which points us to choice D.

Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12

Answer:

  A and C

Step-by-step explanation:

We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.

__

A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.

So, the only figures that might have similar volumes are the hemisphere and the cone.

  V = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³

  V = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³

__

The hemisphere (A) and the cone (C) have the same volume.

Answer:

2750=-510

Step-by-step explanation:

hope this helps ._.

The elevation of the plane is 3600 ft

Let

From the triangle, we have the trigonometric ratio

tanФ = h/D

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

Learn more about elevation of the plane here:

https://brainly.com/question/26380084

Answer:

Inequality Form:

X< −1

Interval Notation:

(−∞,−1)

Step-by-step explanation:

Answer:

[tex]x < -1[/tex]

Step-by-step explanation:

First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]

Answer:

Difference in weight is 24 once

Step-by-step explanation:

got it right

Answer:

  (a)  3/8x +3/8y

  (d)  5/8x -5/8y -1/4x +y

  (e)  5/8x - 1/4x + y - 5/8y

Step-by-step explanation:

An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.

__

  (x -y)(5/8) -1/4x +y

  = 5/8x -5/8y -1/4x +y . . . . . use distributive property

  = 5/8x -1/4y +y -5/8y . . . . . . reorder terms

  = (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms

  = 3/8x +3/8y

Answer:

multiply length with breadth which is 34 *42

Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428

Answer:

x = 10, AB = 57

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:

[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]

[tex]13x - 4 = 126[/tex]

[tex]13x = 130[/tex]

[tex]x = 10[/tex]

[tex]5(10) + 7 = 50 + 7 = 57[/tex]

Answer: B. 0.25

Step-by-step explanation:

Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.

Answer:

Square, purple triangle, and red arrow

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

he has 12 eggs and each hachapuri needs 5 so for one hachpuri we have 7 then for the second hachapuri we need 5 so we are left with 2 we cant make them anymore so there you go

Answer:

256π

Step-by-step explanation:

2π(8²) + 2π(8)(8) <== exponents first

2π(64) + 2π(64) <== multiply

128π + 128π <== add

256π <== final answer

Note: 8 * 8 can also be written as 8²

Hope this helps!

Answer:

256π

Step-by-step explanation:

4π(8²) =   4π(64)=  804.2477193

804.2477193/π = 256π