Graph the inequality
y less than or equal 2X-4

Answer:

The area of trapezoid is 39.6cm²

Step-by-step explanation:

Given that the formula of area of trapezoid is A = 1/2×(a+b)×h where a and b is the length and h is the height. So you have to substitute the values into the formula :

[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]

[tex]let \: a \: = 8.9 \\ let \: b \: = 5.5 \\ let \: h \: = 5.5[/tex]

[tex]area = \frac{1}{2} \times (8.9 + 5.5) \times 5.5[/tex]

[tex]area = \frac{1}{2} \times 14.4 \times 5.5[/tex]

[tex]area = \frac{1}{2} \times 79.2[/tex]

[tex]area = 39.6 {cm}^{2} [/tex]

 Answer: The area is 39.6

Step-by-step explanation:

First multiply 5.5×5.5= 30.25

Then subtract 8.9 - 5.5=3.4

Then multiply 5.5 x 3.4=18.7

Divide 18.7/2=9.35

Add 30.25 + 9.35 =39.6

b x h ÷2

[tex]l *w=a[/tex]

Hope this helps.

Answer:

1/4

Step-by-step explanation:

In a spinner which has 4 equal-sized sections., the probability of pointer must land on a purple section to win the game is 1/4.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A spinner has 4 equal-sized sections. To win the game, the pointer must land on a purple section.  Thus, the number of favorable outcomes is,

[tex]P(\text {purple}) =1[/tex]

Total number of possible outcomes is 4 as there is 4 equal-sized sections. Thus, the probability of the pointer must land on a purple section is,

[tex]P=\dfrac{1}{4}[/tex]

Thus, in a spinner which has 4 equal-sized sections., the probability of pointer must land on a purple section to win the game is 1/4.

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Answer:

D.  $669

Step-by-step explanation:

$34,800 yearly salary

34,800/52= $669 weekly salary

Answer:

-1 3/4

Step-by-step explanation:

1/2x + 1/2x + x

2x = -3 1/2

/2       /2

x   =   -1 3/4

Answer:

0

Step-by-step explanation:

the probability that this person doesn't use any facility = 0/130

= 0

hope it helps!

Answer:

erm

Step-by-step explanation:

-3/26

Answer:

Step-by-step explanation:

(-4/13)+(5/26)

So,now take the common denominator by taking least common multiple (LCM)..

LCM=26

= {(-4/13)x26} + {(5/26)x26}

= (-8+5)/26

= -3/26

Answer:

Step-by-step explanation:

radius of the circle=12 cm / 2=6 cm

Area of the square=side²=(12 cm)²=144 cm²

Area of the circle=πr²=(3.142)(6 cm)²≈(3.142)*36 cm²≈113.112 cm²

Area of the four  sides between the square and the circle=

=Area of the square - area of the circle=144 cm²-113.112 cm²=30.888 cm²

shaded area =30.888 cm²/4=7.722 cm²

Answer =7.722 cm²

Answer:

$2

Step-by-step explanation:

$2 because it's in between.

The total playing value will be $0.

What is probability?

Probability shows the possibility of any event to occur. The maximum value of probability can be 1 and shows the event will happen, and minimum can be 0, shows that event will not occur.

Given that,

Cost of playing the game= $2

There are total 52 playing cards,

Red cards=26

So, the probability to come red on card = 1/2.

Black cards=26

So, the probability to come black on card=1/2

If investor invests $2,

For red card, win $3,

The profit is $1

For black card, win $1,

The loss is $1

Total invest = $4

Total earning=$4

playing value = $4-$4=0.

So the total playing value will be $0.

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________________________________

Hey!!!!

Diameter=12 in

Radius=12/2 =6 inch

Now,

Area of circle=pi r ^2

=3.14*(6)^2

=3.14*36

=113.04 inches^2

Hope it helps......

Good luck on your assignment

________________________________

The right answer is 16,1/16

Please see the attached picture for full solution

Hope it helps..

Good luck on your assignment

For the base value of 4, if the exponent is 2; the value will be 16.

For the base value of 4, if the exponent is -2; then value will be 1/16.

A base number and an exponent are typically used to denote a power.

The total number of digits required to express numbers in a number system is known as the base in mathematics. What number is being multiplied is revealed by the base number.

The exponent, a little number printed above and to the right of the base number, provides the multiplicative power of the base number.

The base number is given as 4.

The exponent is given as 2.

So, the number becomes,

=> [tex]4^{2} =4[/tex]×[tex]4[/tex]

= 16

Thus, the base 4 with exponent 2 becomes 16.

The base number is given as 4.

The exponent is given as -2.

So, the number becomes,

=> [tex]4^{-2} =\frac{1}{4^{2} }[/tex]

= [tex]\frac{1}{16}[/tex]

Thus, the base 4 with exponent -2 becomes 1/16.

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Answer:

b) AD || BC

Step-by-step explanation:

The missing options are:

a) AB || DC

b) AD || BC

c) none

The missing drawn is shown in the figure attached.

The only way that m∠8 = m∠4 is that segment AD and segment BC are parallel. Because in that case, they are alternate angles, and therefore, they are equal. Notice that angle 8 lies on side AD and angle 4 lies on BC

Answer:

b) AD || BC

Step-by-step explanation:

Answer:

Since it is a simultaneous equation,

Using elimination method, Multiply equation 1 by the co efficient of x in equation 2 and multiply equation 2 by the co efficient of x in equation 1.

Step-by-step explanation:

For further explanation , Please contact me through the comment section.

:)

Answer:

35:50 would be the probability:)

Answer:

$160+20d

Step-by-step explanation:

$8*20=$160

$160+20d

Answer:

Step-by-step explanation:

[tex]y = 7x + 1.\\(6,-5)\\m= 7\\x1= 6\\y1 = -5\\y-y1=m(x-x1)\\y-(-5) = 7(x-6)\\y+5=7x-42\\y=7x-42-5\\y = 7x-47[/tex]

Answer:

90 micrometers / 1,000,000 = 0.00009  meters =

9 x 10^-5 meters

Step-by-step explanation:

Answer:

0.9 x 10^-4

Step-by-step explanation:

its pretty simple lol

Answer:

589

Step-by-step explanation:

To find the nearest cubic inch, round your volume measurement down to the nearest whole number if the number to the right of the decimal point is less than 0.5 . If the decimal point is 0.5 or greater, round up.

In this case, your decimal point is 0.75 , which is greater  than 0.5 . This means we round up.

588.75 --> 589

Answer:

589

Step-by-step explanation:

588.75 rounded up would be 589!

Answer: 84

Step-by-step explanation: break down the parts and you multiply the sides and the answer to the square is 30 and the other half is 54 so 30 +54 =84

Answer:

1/12 more pepperoni than sausage

Step-by-step explanation:

to make 1/6 and 1/4 have the same denominator you multiply top and bottom by 6 and 4.

1/6*4 = 4/24

1/4*6 = 6/24

6/24 - 4/24= 2/24= 1/12

Answer:

yes

Step-by-step explanation:

the approximate surface area is (30 × 20 × 2) + (30 × 10 × 2) + (20 × 10 × 2) or 2,200 cm2

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

The median of [tex]\triangle ABC[/tex] are lines CD, AE and BF. These lines meet at point Q, makes Q the centroid. The length of QE is 9 units.

The centroid of a triangle divides the median of a triangle using the following ratio;

[tex]m:n = 2:1[/tex]

This means that:

[tex]BQ:QF=2:1[/tex]

[tex]AQ:QE=2:1[/tex]

[tex]DQ:QC=2:1[/tex]

To calculate QE, we make use of:

[tex]AQ:QE=2:1[/tex]

From the triangle;

[tex]AQ = 18[/tex]

So, we have:

[tex]18:QE=2:1[/tex]

Express as a fraction

[tex]\frac{18}{QE}=\frac{2}{1}[/tex]

Cross multiply

[tex]2 \times QE = 18 \times 1[/tex]

[tex]2 \times QE = 18[/tex]

Divide both sides by 2

[tex]QE = 9[/tex]

Hence, the length of QE is 9 units.

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B.) | 12, 7, 17, -22 |

The complete question is attached below:

A set of numbers arranged in rows and columns so as to form a rectangular array.

Given:

[tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right]* \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]

  [ 12x - 13 y

   17x - 22y ]     =  [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]

As we need to find Ay for that the matrix on RHS of equal sign [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex] is to be putted in the matrix  [tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right][/tex]  

Hence, Ay = [tex]\left[\begin{array}{ccc}12&7\\17 & -51\end{array}\right][/tex]

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Answer:

B

Step-by-step explanation:

Answer:

It is B Because of the non-adjacent vertices.

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

Answer:

The remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where  0 < x < 3.

Step-by-step explanation:

Breadth of rectangular piece of cardboard = 7 inches

Length of rectangular piece of cardboard = 20 inches

Area of cardboard = [tex]Length \times Breadth[/tex]

Area of cardboard = [tex]20 \times 7[/tex]

Area of cardboard =[tex]140 in^2[/tex]

Squares of length x inches on a side cut from each corner.

Length of square = x

Area of 1 square = [tex]Side^2 = x^2[/tex]

Area of 4 squares = [tex]4x^2[/tex]

Area of remaining portion [tex]A(x)= 140-4x^2[/tex]

So, the remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where  0 < x < 3.

Answer:

denominator-of a fraction the number below the horizontal bar

numerator-of a fraction the number above the horizontal bar

fraction- ??? I don't see the definition

decimal fraction-symbol with three parts: a horizontal bar, a whole number above the bar, and a whole number below the bar number what's up value less than one, written place value notation, using a decimal point

percent-per hundred; out of every hundred; hundredths

improper fraction - fraction with a numerator greater than its denominator, giving it a value greater than 1

mixed number - number with a whole number part and a fraction part

Answer:

14

Step-by-step explanation:

(1*1)+(2*2)+(3*3)

1+4+9

5+9

14