Find the rational number halfway between the two numbers below.
-1/3 and -3/10

Hope attachment will be helpful .

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

-2

Step-by-step explanation:

4.77

+1.23

=6

6/-3=-2, so d=-2

Answer:

8/5

Step-by-step explanation:

The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.

The equation of the circle in the general form is given by the

(x-a)²+(y-b)²=r²

Where (a,b) is the co-ordinates of the center of the circle and the radius is r.

Now the center of the circle is given at (3,-4) and the radius is r.

We know that the general equation of a circle is  [tex]{\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}[/tex]

Substituting the values in the equation we get:

(x-3)²+(y-(-4))²=(3)²

or, (x-3)²+(y+4)²=9

Hence the equation of the circle is (x-3)² + (y + 4)² = 9.

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The earthquake was a devastating one as its range is very high for the logarithm function.

We are given that:

M = log (A) - log (A₀) + c log (Δ)

where,

M = local magnitude of the earthquake

A = maximum amplitude in micrometers

A₀ = reference amplitude

c = calibration constant

Δ = distance in km between the seismograph and the epicenter

Now, we are given that:

M = 114370.61 ц m

A = ?

A₀ = 302 ц m

c = 2.76

Δ = 60 km

We have to find the maximum amplitude.

Substituting the values in the logarithm function, we get that:

9102 ц m = log (A) - log (302 ц m) + 2.76 log (60 km)

114370.61 ц m = log (A) - 2.48 + 2.76 (1.78)

114370.61 ц m = log (A) - 2.48 + 4.91

114370.61 ц m = log (A) + 2.43

log (A) = 114370.61 ц m - 2.43

log (A) = 114368.18 ц m

A = e¹¹⁴³⁶⁸°¹⁸ ц m

A = will come in the range 9 and over.

Therefore, the earthquake was a devastating one as its range is very high for the logarithm function.

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Answer:

K

Step-by-step explanation:

Well, P is quadrant 1

K is quadrant 2

M is quadrant 3

J is quadrant 4

Answer:

Quadrant II is letter K.

Hope this helps :)

The maximum profit the company can make given these constraints is; $1360

We are given that;

Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19

Thus, the inequalities are as follows;

Let x represent number of skateboards

Let y represent in-line skates

Thus;

x ≥ 30

y ≥ 20

x ≤ 60

y ≤ 40

x + y ≤ 90

y ≤  -x + 90

f(x, y) = 12x + 19y

At (30, 20), f(30, 20) = 12(30) + 19(20) = $740

At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120

At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360

At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100

At (60, 30), f(60,30) =  12(60) + 19(30) = $1290

Thus, the maximum profit the company can make given these constraints is; $1360

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Answer: 165 Celcius

I used a Farheinit to Celcius calculator :)

Answer:

If you ran for 27 minutes at 6 miles per hour, you would have run 2.7 miles.

Step-by-step explanation:

The Step-by-step explanation is, 6 miles per hour = 1 mile per 10 minutes. Therefore in 27 minutes, you would have run 2.7 miles (27 minutes / 10 minutes = 2.7 miles).

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

18

Step-by-step explanation:

24/4=6

6 times 3 is 18

Hope It Helps

Sorry If I'm Wrong

Answer:

14

Step-by-step explanation:

7-(-7)=14 so the answer is 14

Answer:

14

Step-by-step explanation:

The expression 7-y

when y= -7

becomes by substitution of y with -7

7-(-7) = 7+7 = 14

Answer:

Step-by-step explanation: 56.52 in.

Answer: 56.52 Inches

Step-by-step explanation:

Step 1. Write down the formula for finding the circumference of a circle.

C=2r

Step 2. Next, we substitute the values of pi and r.

C=2(3.14)9

Step 3 (Final step). Finally, we Multiply everything to get C

C=56.52 Inches.

Hope this helps!

From the following compound inequalities, all the compound inequalities have a solution.

What is compound inequality?

A compound inequality is a type of inequality that comprises two basic inequalities.

From the given information, we have:

3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1

-2x+9>4x+3 and-8x-9 < -7x-3

-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)

3x+1 < 5x+7 and -2x+5 ≤ -5x -10

To determine the compound inequality with no solution, we need to solve each of the inequalities.

1.

3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1

Collect like terms

-7-5 ≤ 5x-3x and 8+1 < 5x+4x

-12 ≤ 2x and 9 <9x

x ≥ -6 and x > 1 (has a solution)

2. -2x+9>4x+3 and-8x-9 < -7x-3

Collect like terms

9-3 > 4x+2x and -9+3 < 8x-7x

6 > 6x and -6 < x

x< 1 and x < -6 (has a solution)

3.

-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)

Open brackets

= -2x +18 < 3x + 12 and -4x + 4 > -5x +10

Collect like terms

= 2x + 3x > 18 - 12 and 5x-4x > 10 -4

=  5x < 6 and x > 6

= x > 6/5 and x > 6  (has a solution)

4.

3x+1 < 5x+7 and -2x+5 ≤ -5x -10

1-7 < 5x-3x and 5x -2x ≤ -10 +2

-6 < 2x and 3x ≤ -8

x > -3 and x ≤ -8/3 ( has a solution)

Therefore, no compound inequalities has no solution.

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Answer:

In order of operations

Step-by-step explanation:

==> [tex]\frac{2}{7} \cdot 53 \cdot {7}{2} \\53 \cdot \frac{2}{7} \cdot {7}{2} \\[/tex]  
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. [tex]a \cdot b \cdot c = b \cdot a\cdot c[/tex]

==> [tex]53 \cdot 1[/tex]  
Multiplicative Inverse : A number multiplied by its reciprocal equals

1 : [tex]\frac{a}{b}\cdot\frac{b}{a} = 1[/tex]

==> 53

Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged: [tex]a\cdot1 = a[/tex]

Answer:

Associative Property of Multiplication

Step-by-step explanation:

After performing the simplification process we get the answer as 1052668 or 1.025668 × 10⁶

Some "fixing" difficulties involve simplifying. Parentheses and even nested grouping symbols can be found in some equations, just like they can in some expressions. Whether we're working with equations (so we're also solving), or expressions (and only simplifying), the simplification procedure is the same in both cases.

Given the expression is m 4(m² ₋ 2) and

the value of m = ₋513

substitute the value of m in the expression.

4 ×((₋513)² ₋ 2)

Determine the sign for radical or exponential expressions

4×(513² ₋ 2)

calculate the power.

4 × (263169 ₋ 2)

calculate the sum or the difference.

4 × 263167

after multiplication we get the answer as:

1052668

can also be written as 1.052668 × 10⁶

Hence we gained the desired result.

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The mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b is; m = b/3.5

We are told that Jane's model is a boat.

Now, we are told that very inch on her model is equivalent to 3.5 feet on the real boat her model is based on.

Now, what this means is that the scale factor is; 1 inch to represent 3.5 feet. Thus, if the length of the model, m, and the length of the boat, b, then the relationship between m and b is;

m = b/3.5

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The direct variation is -27/7.

y=27/7 when x= 7

Y= -9 when x = 3 and y varies directly with x which can be written as y directly proportional to x.

[tex]x_{1} /x_{2}[/tex] = [tex]y_{1} /y_{2}[/tex]

3/7 = -9/y2

y2 = - 27/7

A variation is a connection between a set of values for one variable and a different set of values. If m is a nonzero constant and b = 0, the equation y = mx + b yields the function y = mx (often written y = kx), which is known as a direct variation.

The calculus of variations is a branch of mathematical analysis which finds maxima and minima of functionals: mappings from a set of functions to the real numbers. Variations are minor changes in functions and functionals.

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Answer: 15

Step-by-step explanation:

|8|+|-7|=

8+7=15      ==> anything inside the absolute value symbol is always positive.

Answer: 8+7

The | | symbol means how far it is from 0 on the number line. -7 is still only 7 away from 0. Now, if you have -|8|, you apply that - to the 8, so then it's -8.

The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.

The number that makes the statement is,

Based on given conditions , formulate,

-5.8+ _     = a positive number

Let us assume,

We can take positive number is '1'

Then, we can write,

⇒ 1 - (-5.8)

We can negative sign and negative signs are shows to positive sign,

⇒ 1 + 5.8

We can sum or difference in the product,

⇒ 6.8

Hence,

⇒ -5.8 + 6.8

⇒ 1

So, 1 is positive number.

Then,  -5.8 + 6.8 = 1 > 0

Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,

-5.8 + 6.8 = a positive number.

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Answer:

Step-by-step explanation:

Answer:

the approximate distance between the points is

√25+25 = 5√2

=7.07

Step-by-step explanation: