Sunny is a volunteer at the animal shelter. The animal shelter has only dogs and cats. 3
10
of the animals are dogs. There are 8 fewer dogs than cats. How many animals are there in the animal shelter?

Explanation:

A rhombus is a parallelogram in which the diagonals are mutual perpendicular bisectors. The coordinates of the vertices can be used to show ...

When both these conditions are met, the quadrilateral is a rhombus.

__

The diagonals will have the same midpoint (bisect each other) if the sum of the coordinates at the ends of one diagonal is the same as the sum of the end point coordinates of the other diagonal:

  A +C = B +D

  (3, 6) +(9, 6) = (6, 8) +(6, 4)

  (3+9, 6 +6) = (6 +6, 8 +4)

  (12, 12) = (12, 12) . . . . . . midpoints are the same; ABCD is a parallelogram

__

The diagonals will be perpendicular if the sum of the products of the coordinate differences of their end points is zero.

  AC⋅BD = (C -A)⋅(D -B) = (9 -3, 6 -6)⋅(6 -6, 4 -8)

  = (6, 0)⋅(0, -4) . . . . . end point differences; we want their dot-product

  = (6)(0) +(0)(-4) = 0 +0 = 0 . . . . diagonals are perpendicular

_____

Additional comment

The midpoints are computed as (A+C)/2 and (B+D)/2. We have multiplied each of them by 2 to simplify the arithmetic. Our resulting sums of (12, 12) must be divided by 2 to get the actual midpoint of the rhombus: (6, 6).

The notion of "dot product" is a vector notion. Two vectors are perpendicular when their dot product is zero. The dot product is the scalar sum of the products of corresponding coordinates.

Answer

the answer is a

Step-by-step explanation:

The fair interval illustrates a sample space

The interval that will make a fair decision is from 5 to 20

From the question, we understand that:

Since they choose odd and even integers, then the sample space must be divisible by the number of people (i.e 2 people)

The sample space (S) is calculated as:

S = Highest - Least + 1

S = 10 - 2 + 1 = 9

S = 15 - 3 + 1 = 13

S = 20 - 5 + 1 = 16

S = 25 - 5 + 1 = 21

Only 16 can be divisible by 2

Hence, the interval that will make a fair decision is from 5 to 20

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Answer:

2x^2+10-3x

Step-by-step explanation:

start by multiplying numberes into the parentheses.

2x^2+10-3x-3+3

now combine like terms

2x^2+10-3x

Answer:

5.83 cubic feet

Step-by-step explanation:

Volume of block1 :

l = 4 ft

[tex]\sf w = \dfrac{5}{6} \ ft\\\\ h = 1\dfrac{1}{6}=\dfrac{7}{6} \ ft[/tex]

[tex]\sf Volume \ of \ block1 = l*w*h\\[/tex]

                            [tex]\sf =4 *\dfrac{5}{6}*\dfrac{7}{6}\\\\ =\dfrac{5}{3}*\dfrac{7}{3}\\\\= \dfrac{35}{9} \ cubicfeet[/tex]

Volume of block2:

  l = 4 ft

  [tex]w = 1\dfrac{2}{3}-\dfrac{5}{6}\\\\ =\dfrac{5}{3}-\dfrac{5}{6}\\\\ =\dfrac{5*2}{3*2}-\dfrac{5}{6}\\\\=\dfrac{10}{6}-\dfrac{5}{6}\\\\w =\dfrac{5}{6} \ ft\\\\h =\dfrac{7}{12} \ ft[/tex]

            [tex]\sf Volume \ of \ block2 = 4 *\dfrac{5}{6}*\dfrac{7}{12}[/tex]

                                       [tex]\sf = \dfrac{5}{6}*\dfrac{7}{3}\\\\= \dfrac{35}{18} \ cubicft[/tex]

Amount of concrete to build stairs = Volume of block1 + volume of block2

                                                [tex]\sf = \dfrac{35}{9}+\dfrac{35}{18}\\\\=\dfrac{35*2}{9*2}+\dfrac{35}{18}\\\\=\dfrac{70}{18}+\dfrac{35}{18}\\\\=\dfrac{105}{18}\\\\= 5.83 \ cubic feet[/tex]

The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

It can be expressed as 3x³ + 6x² + 8x + 24  + 47 / x - 2

Quotients is the number obtained by dividing one number by another.  

The given expression is;

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

Using synthetic division:

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24 remainder 47

3x⁴ - 4x² + 8x - 1 → Dividend

x - 2 → Divisor

3x³ + 6x² + 8x + 24 → Quotient

47 → Remainder

The quotient is;

[tex]\rm =\dfrac{3x^4-4x^2+8x-1}{x-2}\\\\=\dfrac{(3x^3 + 6x^2 + 8x + 24)(x-2)}{x-2}\\\\=3x^3 + 6x^2 + 8x + 24[/tex]

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

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The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) would be 3x³ + 6x² + 8x + 24.

Quotients are the number that is obtained by dividing one number by another number.

The given expression

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24

remainder is 47

Here,

3x⁴ - 4x² + 8x - 1 = Dividend

x - 2 = Divisor

3x³ + 6x² + 8x + 24 = Quotient

47 = Remainder

The quotient is;

(3x⁴ - 4x² + 8x - 1) / (x - 2)

(3x⁴ - 4x² + 8x +24) (x - 2) / (x - 2)

3x³ + 6x² + 8x + 24

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

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Answer: 102 copies

Step-by-step explanation:

4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time

Answer:

71.2

Step-by-step explanation:

PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction

This is just the order you do the operations.

First, Parentheses.

Second, Exponents,

Third, Multiplication or Division

Last, Addition or Subtraction

So, in 6 x (2.4 + 10.3) - 5

We first do parentheses which is

(2.4 + 10.3) = 12.7

Now we have,

6 x 12.7 - 5

The next thing is multiplication

6 x 12.7 = 76.2

Now we have,

76.2 - 5

Lastly subtract,

76.2 - 5 = 71.2

Answer:

Rotation" refers to an object's spinning motion about its own axis.

"Revolution" refers the object's orbital motion around another object.

For example, Earth rotates on its own axis, producing the 24-hour ( a day.)

Earth revolves about the Sun, producing the 365-day (a year).

Answer:

C is the correct answer due to two-step inequality process

Step-by-step explanation:

Your inequality is: 5a + 18 < -27

First,  you must remember that the < or > shall not be shaded in.

You could automatically eliminate answer A.

Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.

5a + 18 < -27

5a < -27-18

5a < -45

**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.

-9 > a

You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.

C is the correct answer.

= 4000

= 7000000000

= 4

( to convert back to ordinary form just move the decimal point according to the power. )

Answer:

A. 4000

B. 7000000000

C. 4

Step-by-step explanation:

A. 4×10³

= 4 × 1000

= 4000

B. 7×10⁹

= 7×1000000000

= 7000000000

C. 4×10⁰

(a⁰=1)

= 4×1

= 4

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Answer:

A. 6+6+6+6=24

Hope this helps!

Answer:

its a

Step-by-step explanation:

⇒ because if you add 6 four types it equals = 24 inches hope this helped

The factor of the given polynomial are (3x^2-2)(x^2+5)

The polynomial

[tex]3x^4-2x^2+15x^2-10[/tex]

Factoring a polynomial is expressing the polynomial as a product.

The rearranged, grouped, and solved as follows

[tex]3x^4+15x^2-2x^2-10[/tex]

[tex]3x^4+15x^2-(2x^2+10)[/tex]

Factor out the common term

[tex]3x^2(x^2+5)-2(x^2+5)[/tex]

[tex](3x^2-2)(x^2+5)[/tex]

That is the third option is the correct option.

Therefore the factor of the given polynomial are  (3x^2-2)(x^2+5)

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The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

The equation is given as:

V - E + F = 2

Where:

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

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Answer: 5/10 +5/10 =10/10 =1

Step-by-step explanation: I don't think this requires much explanation. Any number with same numerator and denominator equals 1.

When you get 10/10, the first and second box can be figures that sum up to be 10.

It can be 7 and 3, it can be 6 and 4

Answer:

5)

x=13.856

y=8

6)

u=4

v=3.464

Step-by-step explanation:

5)

y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

y = 16*sin(30)/sin(90)

y=8

x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

x=16*sin(60)/sin(90)

x=13.856

6)

sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)

sin(90)/u= sin(30)/2

u *sin(30) = 2* sin(90)

u *sin(30) = 2

u=2/sin(30)

u=2/0.5

u=4

sin(60)/v= sin(30)/2

v *sin(30) = 2* sin(60)

v *sin(30) = 2 * 0.866

v * sin(30) = 1.73

v = 1.73/sin(30)

v = 3.464

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[5] x = 8 and y =  13.856

[6] v = 4 and u = 3.464

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[5]

sin60° = x/16 = 1/2

x = 16/2 = 8

cos60° = y/16 = √3/2

y = 16√3/2 = 8√3

Can also be : 8√3 = 13.856

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[6]

sin30° = 2/u = 1/2

u = 2 x 2 = 4

tan30° = 2/v = √3

v = 2√3

can also be:  2√3= 3.464

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

~lenvy~

Answer:

$12.50

Step-by-step explanation:

You donate $150 in total in a year.

To find out how much you donated on the first month, remember the relation between a year and number of months.

⇒ 1 year = 12 months

⇒ 1 month = 1/12 year

Finding the amount donated

They are exempt from income tax and we would get the income tax withheld as $340.

The person does not have another source of income, and there are no exceptions that are claimed by the person.

The withheld tax which is held every week can be calculated as;

Amount of income tax = 30 % of 1,166

Amount of income tax = $339.6

Amount of income tax = $340

Hence, they are exempt from income tax and we would get the income tax withheld as $340.

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5(w. 9)

hope it really helps...!!!

The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

[tex](2x - 1)(x +4)[/tex]

Multiply term by term,

[tex]2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4[/tex]

Thus, The product of the given equation is [tex]2x^{2} +7x -4[/tex].

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Answer:

30(2+1)

Step-by-step explanation:

Again, find common highest number. It is 30.

60/30 =2

30/30 = 1

so,

30(2+1)

Answer:

Step-by-step explanation:

x+y=10

1.50x+2.50y=22

Then use the the elimination method. The final answer is x=3, y=7.