A rectangular board is 1.5 meters long and 1.2 meters wide. What is the area of the board in square millimeters?

Answer:

[tex]\frac{-4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} - \frac{7}{5} = \frac{3-7}{5} = \frac{-4}{5}[/tex]

The sum of the fractions is -4/5.

The real numbers arranged in order on a geometric line form a number line. The points on the geometric line represent real numbers.

On the number line, the addition of a positive number a to a number b moves the point at b to the right by a units.

The addition of a negative number -a to a number b moves the point at b by a units to the left.

The point H in the diagram is at the number 3/5, third stick to the right of 0.

Adding -7/5 to 3/5 means moving the point H to the left by 7 sticks. Doing so we find the point at -4/5 as shown in the figure.

The final position of the point after addition is -4/5.

The value of 3/5 - 7/5 is, thus, -4/5.

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Answer:

C. 0.3

Step-by-step explanation:

Answer:

f(x) = 4( x + 3/2)^2

Step-by-step explanation:

F(x) =4 x^2 + 12x + 9

= 4 [ x^2 + 3x] + 9

Add (3/2)^2 - (3/2)^2 to the square bracket, we have:

4 [ x^2 + 3x+ (3/2)^2 - (3/2)^2] + 9

4[ (x + 3/2 )^2 - 9/4] + 9

4( x + 3/2)^2 - 9/4 ×4 + 9

4( x + 3/2)^2 - 9 + 9

4( x + 3/2)^2 +0

4( x + 3/2)^2

Note the (3/2)^2 - (3/2)^2 is decoded by dividing b by 2 and squaring it and then subtracting same. Look at the general equation of a circle given below

ax^2 + bx + c

To form a square expression we adopt (b/2)^2 - (b/2)^2 to the general equation provided a = 1;

To make a = 1; we had to factor out 4 from the coefficient of x; making perfect square is of concern when we have ax^2 + bx ; irrespective of 'c' or not.

This is usually referred to as method of completing the square in solving quadratic equation

Answer:

  54 ft^2

Step-by-step explanation:

The area is the product of length and width:

  A = LW = (9 ft)(6 ft)

  A = 54 ft^2

The area of the floor is 54 square feet.

Answer:

area of the rectangular floor = 54 ft²

Step-by-step explanation:

The area of a rectangle is the product of the length and width. The floor is rectangular therefore the area of the floor can be calculated by using the area of a rectangle.

area of the rectangular floor = length × width

length = 9 ft

width = 6 ft

area of the rectangular floor = length × width

area of the rectangular floor = 9 × 6

area of the rectangular floor = 54 ft²

Answer:

6y +52

Step-by-step explanation:

6(2y + 8) - 2(3y - 2)

Distribute

12y + 48 - 6y +4

Combine like terms

6y +52

First distribute through the set of parentheses.

When we distribute, we multiply the number outside

times each of the terms located inside the set.

So we have -2(x) + -2(4) or -2x - 8.

Now we have -2x - 8 + 5x + 10.

Combine like terms → your numbers and your "x" terms.

-2x + 5x is 3x and -8 + 10 is 2.

So we have 3x + 2.

3x + 2 cannot be simplified any further.

Answer:

105 days

Step-by-step explanation:

30 divided by 8 to get the rate which equals 3.75

28*3.75= 105 days

Answer:

2 units

Step-by-step explanation:

khan

Answer:

[tex]\boxed{\tt x=2\: units}[/tex]

Step-by-step explanation:

First, we need to set up an equation using the formula for the area of a triangle.

[tex]\boxed{\tt Area=\cfrac{1}{2} \times \: base\times height}[/tex]

Given:

Area: 4

Base: x

Height: 4

____________________

[tex]\tt 4=\cfrac{1}{2} \times\: x\times4[/tex]

[tex]\longmapsto\tt 4=2x[/tex]

Divide both sides by 2:

[tex]\longmapsto\tt \cfrac{4}{2}=\cfrac{2x}{2}[/tex]

[tex]\longmapsto\tt x=\cfrac{4}{2}[/tex]

[tex]\longmapsto\tt x=2[/tex]

Therefore, the missing side is 2 units.

____________________________

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

[tex]h(t) = -0.08t^{2} + 1.6t + 2[/tex]

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

[tex]h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2[/tex]

The initial height of the balloon is 2 feet.

Answer:

C.) Sometimes

Step-by-step explanation:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

The word that correctly fills the blank is sometimes, the correct option is C.

Rational Numbers are numbers that can be written in the form of p/q, q≠0.

The sum of two irrational number is sometimes a rational number.

For example the summation of the irrational number with its additive inverse, the sum will be 0, which is a rational number and a whole number.

Therefore, the word that correctly fills the blank is sometimes, the correct option is C.

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Answer:

B

Step-by-step explanation:

Yes because every x value corresponds to exactly one y value.

Answer: B

Step-by-step explanation: The basic idea of a function is you put in some value for x and you get out something for y.

So for a table to be a function, each x term

needs to corresponds to exactly one y-term.

So yes, every x-value corresponds to exactly one y-value.

A common mistake would be to say that this is not a function

because the y-value of 3 repeats twice.

However, that's ok because you don't get

different y-values for the same x.

Answer:

5

Step-by-step explanation:

Area equals bh

So 65 divided by 13

Answer:

h = 5 ft

Step-by-step explanation:

The area of a parallelogram is

A = bh

65 = 13h

Divide each side by 13

65/13 = 13h/13

5 = h

Answer:

x=3

Step-by-step explanation:

Answer:

[tex] p_v =P(z>z_{calc}) [/tex]

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need  enough evidence in favor of the alternative hypothesis, so then the best option would be:

f. 0.001

Step-by-step explanation:

We need to conduct a hypothesis in order to test the claim that one of several methods claimed to increase the likelihood of a baby girl so then the system of hypothesis are:  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

The p value for this case is given by:

[tex] p_v =P(z>z_{calc}) [/tex]

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need  enough evidence in favor of the alternative hypothesis, so then the best option would be:

f. 0.001

Answer:

22 1/8 mm.

Step-by-step explanation:

First add the whole numbers, then the fractions:

3 + 5 + 5 + 7 = 20

7/8 + 7/8 + 3/16 + 3/16    Change the 7/8's to 14/16:

= 14/16 + 14/16 + 3/16 + 3/16

=  28/16 + 6 /16

= 34 /16

= 2 2/16

= 2  1/8

So the final answer is 20 + 2 1/8

= 22 1/8 mm.

Step-by-step explanation:

the perimeter of this

3 7/8 + 5 3/16 + 5 3/16 + 7 7/8

= 31/8 + 83/16 + 83/16 + 63/8

= 62 + 83 + 83 + 126/ 16

= 354/16 ans

Answer:

Step-by-step explanation:

1 find out what kind of  its is

if its equivelent you might use 60 as thee angles then find out

Answer:

B;3

Step-by-step explanation:

That is because to complete the box you need the sum to subtract from one of the addends to be able to find the other and

28.42-24.72=3.7

Hope this helps:)

The missing number is 3.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.

Operator: An operator is the sign used to represent a mathematical operation, such as + for addition, subtraction, multiplication, and division.

Given adding certain number to 24.72 gives 28.42

24.72 + [?].7 = 28.42

let the number be x + .7

equation is

24.72 + x +.7 = 28.42

x = 28.42 - 0.7 - 24.72

x = 3

Hence 3 is the missing digit.

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Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh          Use this equation to find the area of each triangular base

A = 1/2(8)(6)         Multiply

A = 1/2(48)           Multiply

A = 12cm²           Area of each triangular base

2) A = L x W        Use this equation to find the area of the bottom rectangular face

A = 20 x 8          Multiply

A = 160 cm²       Area of the bottom rectangular face

3) A = L x W        Use this equation to find the area of the back rectangular face

A = 20 x 6          Multiply

A = 120 cm²       Area of the back rectangular face

4) A = L x W        Use this equation to find the area of the sloped rectangular face

A = 20 x 10         Multiply

A = 200 cm²      Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200       Add

A = 504 cm²       Total area of the triangular prism

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

Answer:

whats the question?

Step-by-step explanation:

Answer:

Minutes= 90

Step-by-step explanation:

Brady will take care of 24 cows in 120 minutes.

Rate of Brady = 24/120

Mc Kenna takes care of same 24 cows in 360 minutes.

Rate of Mc Kenna = 24/360

Sum of rates = 24/120 + 24/360

Sum of rates =( 72+24)/360

Sum of rates = 96/360

Sum of rates = 96/360

Let's determine how many minutes it will take them total to take of Same 24 cows

Minutes = 24/rate

Minutes = 24/(96/360)

Minutes =( 24*360)/96

Minutes= 90

Answer:

No

Step-by-step explanation:

Although two sides are equal, the 32 is simply too big for it to be a triangle.

Answer:

No it is not the sides of right angled triangle.

Step-by-step explanation:

IF a²+b²=c² then the triangle is right

3²+3²=32²

9+9=1024

18=1024

Answer:

Step-by-step explanation:

Obviously, all multiples of 3 and 7 can be paid.

1 cent can be added by adding a 7-cent stamp and taking away two 3-cent stamps. 2 cents can be added by adding three 3-cent stamps and taking away one 7-cent stamp. Hence any value more than 7 +2(3) = 13 cents can always be accommodated.

Amounts that are impossible:

  1, 2, 4, 5, 8, 11 cents

All other positive integer amounts are possible.

Answer:

the mean service time = 70 minutes

the variance of the total service time for customers arriving during a 1-hour period is 700

the probability that the total service time will exceed 2.5 hours is 0.0012

Step-by-step explanation:

Given that:

Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of 7 per hour.

If it takes approximately 10 minutes to serve each customer

From the given information:

The mean total service time=  [tex]10 \ minutes * \lambda[/tex]  (i.e the average number to turn up during the hour) .

where;

[tex]\lambda =[/tex]  the average rate per hour i.e  7

Thus; the mean service time = 10 × 7  = 70 minutes

For a Poisson Distribution;

The variance of the  the total service time for customers arriving during a 1-hour period can be expressed by  the relation:

[tex]\sigma(aX) = a* \sigma(X). \\ \\ where ; \sigma = {\sqrt{S^2}} \\ \\ \sigma(service \ time) = 10 * \sigma(arrival \ time) \\ \\S^2 (service \ time) = (10* \sigma(arrival \ time))^2 \\ \\ S^2(service \ time) = 100 * S^2(arrival \ time) \\ \\ = 100*\lambda \\ \\ = 100*7 = 700[/tex]

where S² = variance

What is the probability that the total service time will exceed 2.5 hours?

If we convert 2.5 hours to minutes ; we have

2.5 × 60 minutes =150 minutes

The probability that the total service time will exceed 2.5 hours is as follows:

[tex]Z = \dfrac{S-70}{\sqrt {700}} \ \ \ \ follow \ N(0,1) \\ \\ P(S > 150) = \dfrac{S-70}{\frac{\sqrt{700}>(150-70)}{\sqrt{700}}} \\ \\ =P(Z > -2.5512) \\ \\ =0.0012[/tex]

Answer:

The elements of the range are the birthdays.

Step-by-step explanation:

A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.

A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.  

Lines or arrows are drawn from domain to range, to signify the relation between any two elements.

A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.

From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.

The elements of the range are:

Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }

Thus, the elements of the range are the birthdays.

Answer:

Amy

Devon

Labron

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

ANP = BNP = 90 WILL PROVE THAT CD IS PERPENDICULAR TO AB.

Answer:

{12}

Step-by-step explanation:

[tex]A= \{3,6,9,12\} \\ B= \{0,4,8,12 \} \\ A \: \cap \: B = \{12\} [/tex]

Answer:

160

Step-by-step explanation:

So there are 32 ounces in a quart.

32 * 5 = 160

Answer:160 fluid ounces :)

Step-by-step explanation: