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A) The single biconditional statement of the given statement is;

A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) The statement made by your friend about only true conditional statements having a true contrapositive is; True

A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;

The polygon has only four sides if and only if the polygon is a quadrilateral.

That biconditional statement has combined two individual conditional statements.

Now, to our question, we are given two statements;

Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.

Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.

Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Thus, if the conditional statement is true, then we will have a true contrapositive.

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Answer:

3.2t -2.4

Step-by-step explanation:

Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)

Answer:

A)

Step-by-step explanation:

The amount of money  he could have in savings after two more years is:c. $1,315. 06.

First step is to calculate the 12 month saving

Saving= 12 month × $103.19

Saving = $1238.28

Second step is to calculate the interest earned

Interest = Prt

Interest= $1238.28×·0.031×1

Interest= $38.39

Third step is to calculate the balance after 2 years

Saving= $1238.28 +(2 years × $38.39)

Saving= $1238.28 +$76.78

Saving= $1315.06

Inconclusion the amount of money  he could have in savings after two more years is:c. $1,315. 06.

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Answer:

circumference=2×3.142×radius

radius=16.8÷2=8.4

so,

circumference=52.7856cm

Answer:

1.86

Step-by-step explanation:

Important Info:

13 inches of wire cost = .78

Question to Answer:

How much in cents will 31 inches of wire cost?

Explanation/Solution:

Since, 13 inches of wire cost .78 then Find the Cost of 1 Inches..

To do that we have to Divide..

.78 ÷ 13

=

0.06

So, 1 Inches of Wire Cost 0.06.

Hence, 31 · 0.06

= 1.86

Therefore, 31 Inches of wire cost 1.86.

[ RevyBreeze }

The function that is graphed below is y = |x + 1|.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).

The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.

When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.

This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.

When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.

This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.

The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.

The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.

Thus,

The function that is graphed below is y = |x + 1|.

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Answer:

Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long

cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,

OD= 24 cm.

In right angled triangle. ODB

OB^2 = OD^2+ DB^2

r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2

r^2 = 576+ 49=625

r = √625. =25 cm. Answer.

Answer:

-2x^2+12x

Step-by-step explanation:

Answer:

V = 126

Step-by-step explanation:

Step 1) Given that u = 6, a = 4 and t = 30 the equation looks like this: V = 6 + 4(30) (V = U + AT)

Step 2) Multiply 4 by 30 to get 120 and add six to get the answer V = 126.

Answer:

19

Step-by-step explanation:

You had 6 dollars and your mom gave you 5. 6 + 5 = 11.

You dad gave you 8 dollars.

11 + 8 = 19

Answer:

19 dollars

Step-by-step explanation:

5+6+8=19

If you started off with 6 dollars and your mom gave you 5 you now have 11. If your dad gave you another 8 on top of the 11 you already had you now have 19.

Answer:

well altogether it is 15 then it would be 3 dollars each

Step-by-step explanation:

:)

Answer:

To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.

Step-by-step explanation:

Answer:

Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?

Answer:

Solution here,

Principal=?

Time =3 year

Rate of percent= 4.5

SIMPLE intrest=$405

Now

Principal=(SIMPLE INTREST × 100)/(TIME × RATE)

=$40500/13.5

=$3000

Answer:

x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides

x - 5x + 5 = x - 2x + 3

- 4x + 5 = - x + 3 ( add x to both sides )

- 3x + 5 = 3 ( subtract 5 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

x = [tex]\frac{2}{3}[/tex]

[tex]\huge\boxed{Hi\:there!}[/tex]

[tex]\huge\sf{3x=9^2}[/tex]

[tex]\huge\sf{3x=81}[/tex]

[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]

[tex]\huge\sf{x=27}[/tex]

[tex]\huge\boxed{Hence,\:x=27.}[/tex]

[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]

[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Answer:

-3

Step-by-step explanation:

Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]

Graph attached

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

So it took them  1 2/3 hrs to get to school

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

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Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Answer:

6 1/10 (6.1)

Step-by-step explanation:

2 3/5 + 3 1/2  (2.6 + 3.5= 6.1)

2 6/10 + 3 5/10

5 11/10

6 1/10 (6.1)

Answer:

2(4x+3)

Step-by-step explanation:

Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5

Combine the terms 3 + 6 + 5 to 8 + 6

Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]

Answer:

x= 3/2

Step-by-step explanation:

4x+7=6x+4

Step 1: Subtract 6x from both sides.

4x+7−6x=6x+4−6x

−2x+7=4

Step 2: Subtract 7 from both sides.

−2x+7−7=4−7

−2x=−3

Step 3: Divide both sides by -2.

-2x=-3

-2    -2

=

3/2