Part A

Which statements are central ideas of Library on Wheels: Mary Lemist Titcomb and America's First Bookmobile?

Select the two correct answers.


Mary was not afraid to be a pioneer.

Mary worked hard to better the library experience.

Mary believed libraries were mainly for the rich.

Mary's friends supported her decision to move to Maryland.
Question 2
Part B

Which two details from the text best support the answers in Part A?


"But Mary, always independent, was eager to take on this new challenge."

"'…It remained for Miss Titcomb to show us that libraries are intended for the middle class of people, the working man and woman and children particularly.'"

"She continually looked for ways to improve librarianship, to render it both more efficient and more far-reaching."

"Mary's friends and family thought it would be unwise for her to leave her secure position in Vermont to go by herself to rural Maryland."

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:

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

Answer:

1 dime

Step-by-step explanation:

didvide 1 pound by the weight or the dime to get the answer

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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Check the picture below, so hmm we know that much, and we can also more or less see that PR is the longest side, let's check the length of the other two sides

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[3 - 6]^2 + [5 - 1]^2}\implies PQ=\sqrt{(-3)^2+4^2}\implies \boxed{PQ=5} \\\\[-0.35em] ~\dotfill\\\\ Q(\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad R(\stackrel{x_2}{11}~,~\stackrel{y_2}{11})~\hfill QR=\sqrt{[11 - 3]^2 + [11 - 5]^2} \\\\\\ QR=\sqrt{8^2+6^2}\implies \boxed{QR=10}[/tex]

if that's true, the triangle is indeed a right-triangle, then hmmmm most likely using the pythagorean theorem PR² = PQ² + QR², let's check

[tex](\sqrt{125})^2~~ = ~~5^2~~ + ~~10^2\implies 125=25+100\implies 125=125~~\textit{\Large \checkmark}[/tex]

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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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:

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

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

[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

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

[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~

t=2 hrs-------so 2 hrs after the second plane leaves it will catch the first plane

CK

720+240*2=600*2

720+480=1200

1200=1200

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.

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

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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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: 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

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

the answer is a

Step-by-step explanation:

Answer:

14, 48 and 50

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

PRICE=$80

DISCOUNT=70٪ OF $80=(70/100)×80=70×80/100=$56

HENCE DISCOUNT=$56

NOW THE PRICE=$80-$56=$24

I HOPE IT HELPED YOU

Answer: 24

Step-by-step explanation:

Multiply the original price by how much is being discounted.

80 x .70 = 56

Subtract the answer from the original price.

80 - 56 = 24

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

= 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:

17

Step-by-step explanation:

This flight makes a right triangle

The sides are 8 and 15. The hypotenuse isnt know and that is the answer.

8^2 + 15^2 = c^2

c^2 = 289

c = 17

The volume of the cone and pyramid are the same.

Formula for volume of cone = ⅓(144π × h)

Volume of cone = ⅓[πr² × height of cone)

Volume of triangular pyramid = ⅓[(½bh × height of pyramid)]

Also note the following:

Area of a circle = πr²

Area of a triangle = ½bh

Part A:

Area of circle 1 = πr² = π(12²) = 144π units²

Area of circle 2 = πr² = π(6²) = 36π units²

Area of circle 3 = πr² = π(3²) = 9π units²

Area of triangle 1 = ½(24)(12π) = 144π units²

Area of triangle 2 = ½(12)(6π) = 36π units²

Area of triangle 3 = ½(6)(3π) = 9π units²

Part B: Based on our results in part A, the volumes of the cone and pyramid, having the same height are the same.

Part C:

Volume of pyramid = ⅓(144π × h)

Using this measurement and our conclusion in part B:

Formula for the Volume of a cone = ⅓(144π × h)

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