• What is the total number of pencils that Mr. Moretti gives to his students
if he puts 3 mechanical pencils in each bag?
pencils

Answer:11/3

Step-by-step explanation:

Answer:

It is,“Well, that is a brilliant idea, Miss Blackwell, but clearly it is an impossible one.”

Answer:

a) 900 dollars

b) 5900 dollars

Step-by-step explanation:

The complete question is

A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

solution

a) The simple interest SI \(= P*R*T\)

Where P is the principal amount

R is the rate of interest and

T is the time period

Substituting the given values, we get -

SI

\(= 5000 *\frac{1.8}{100} *10\\= 900\) dollars

b) Amount is the sum of Principal and simple interest

\(A = 5000 + 900 = 5900\) dollars

To calculate the prorations for interest and property taxes, we need to determine the number of days each party (the buyer and the seller) will own the property during the month of June.

There are a total of 30 days in June, so the seller will own the property for 15 days (from June 1 to June 15), and the buyer will own the property for 15 days (from June 16 to June 30).

Prorations for Interest:

The annual interest rate is 8%, which means the monthly interest rate is 8%/12 = 0.6667%. To calculate the daily interest rate, we divide the monthly interest rate by 30 (the number of days in June):

0.6667% / 30 = 0.0222%

The total interest owed for the full month is:

$168,745.60 x 0.6667% = $1,124.28

To calculate the prorated interest for the seller, we multiply the daily interest rate by the number of days the seller owned the property:

0.0222% x $168,745.60 x 15 = $559.02

To calculate the prorated interest for the buyer, we multiply the daily interest rate by the number of days the buyer will own the property:

0.0222% x $168,745.60 x 15 = $559.02

Therefore, the total prorations for interest are:

$559.02 for the seller and $559.02 for the buyer.

Prorations for Property Taxes:

To calculate the prorated property taxes, we divide the annual taxes by 365 (the number of days in a year) to get the daily tax rate:

$3,893.25 / 365 = $10.66 per day

To calculate the prorated property taxes for the seller, we multiply the daily tax rate by the number of days the seller owned the property:

$10.66 x 15 = $159.90

To calculate the prorated property taxes for the buyer, we multiply the daily tax rate by the number of days the buyer will own the property:

$10.66 x 15 = $159.90

Therefore, the total prorations for property taxes are:

$159.90 for the seller and $159.90 for the buyer.

The prorations will be subtracted from the seller's equity because they represent expenses incurred by the seller during the time they owned the property.

Answer:

60.5 m

Step-by-step explanation:

We can use the arc length formula to calculate the length of highlighted arc. Let the numerical measure of the highlighted arc be known as C, the angle measure be known as \(\theta\), and r as the radius of the circle.

Given variables:

Plug in all the variables into the formula and solve for the letter C.

\(\boxed{\text{Formula: C = }{2\pi r\huge{\text(}\frac{\theta}{360}\huge\text{)}}}\)

\(\implies C = }{2\pi (11)\huge{\text(}\dfrac{315}{360}\huge\text{)}}}\)   \(\implies C = }{22\pi \huge{\text(}\dfrac{315}{360}\huge\text{)}}} = 60.5 \ \text{m}\)

Therefore, Option A is the correct option.

Answer:

3 times

Step-by-step explanation:

Area of circle =pi*r^2

Area of shaded area=pi*4*4\2 (semi circle)

Area of unshaded area=pi *6*6-pi*4*4/2=pi*24

Divide 2nd by 1st

We get 3 times

The equation of line is y= 6x- 12.

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The formula for equation line passes through points

(y\(- y_1\)) = m (x \(-x_1\))

Given:

points (3, 6) and (5, 18)

Now, using equation of line

(y\(- y_1\)) = m (x \(-x_1\))

Now, slope= 18-6/ 5-3

slope= 12/2

slope= 6

Then, equation of line

y- 6 = 6(x - 3)

y-6 = 6x - 18

y= 6x- 12

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Answer:

the answer is A 1/3

Step-by-step explanation:

Steps to solve:

7/5 ÷ 2/3

~Dot

7/5 * 2/3

~Flip

7/5 * 3/2

~Multiply

21/10

Best of Luck!

Answer:

21/10 = 2.1 mile/hour

Step-by-step explanation:

(a/b) ÷ (c/d) = (a*d) ÷ (b*c)

then:

(7/5) ÷ (2/3) = (7*3) ÷ (5*2) = 21/10 mile/hour

The solution for this system of equations is equal to 5 and 80.

Based on the information provided above, Sebastian is using a 20-kilogram bar, increasing the amount of weight he lifts by 12 pounds on each set. Therefore, the total weight, y, can be represented by this equation:

y = 12x + 20  .......equation 1.

where:

x represents the number of set.

For his partner, using a 40-kilogram bar, increasing the amount of weight he lifts by 8 pounds on each set. Therefore, the total weight, y, can be represented by this equation:

y = 8x + 40

By equating equation 1 and equation 2, we have the following:

8x + 40 = 12x + 20

4x = 20

x = 5

For the y-value, we have:

y = 8x + 40

y = 8(5) + 40

y = 80

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The PDF of Y is g(Y) = 1/(2 × σ × √(2 × π)) × exp(-(Y - 2 × mu)² / (8 × σ²)).

To find the PDF of Y, we need to use the transformation method.

Let g(Y) be the PDF of Y.

We have:

Y = 2X => X = Y/2

dx/dy = 1/2, since X = Y/2 is a linear transformation.

Using the formula for the PDF of a transformed variable, we have:

g(Y) = fX(Y/2) |dx/dy|

g(Y) = 1/(σ × √(2 × π)) × exp(-(Y/2 - mu)² / (2 × σ²)) |1/2|

g(Y) = 1/(σ × √(2 × π)) × exp(-(Y - 2 × mu)² / (8 × σ²)) × 1/2

g(Y) = 1/(2 × σ × √(2 × π)) × exp(-(Y - 2 × mu)² / (8 × σ²))

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Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

The value of x, considering the Pythagorean Theorem, is given as follows:

x = 9.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The sides for the problem are given as follows:

15 and 8 (segment of 8 is the radius, which is the distance from the center to a point on the circumference of the circle).

Hence the hypotenuse is obtained as follows:

h² = 15² + 8²

h² = 289

h = 17.

Hence the value of x is obtained as follows:

x = 17 - 8

x = 9.

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Answer: B

Step-by-step explanation: "Product" is the answer of a multiplication problem, "Reduced by" is to  make smaller or less in amount, degree, or size.

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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The line of reflection that produces Y′(9, 3) is Option C: the y-axis.

What is reflection?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

To determine the line of reflection that produces Y′(9, 3), we need to find the perpendicular bisector of the line segment joining Y and Y′.

The midpoint of the line segment YY′ is -

[(−9+9)/2, (3+3)/2] = (0, 3)

The slope of the line segment YY′ is -

(3−3)/(9+9) = 0

Since the slope is 0, the perpendicular bisector of YY′ is a vertical line passing through the midpoint.

This line is the y-axis.

Therefore, the y-axis, produces the line of reflection Y′(9, 3).

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Answer:

I'm really not sure but I think it would be -22F

Step-by-step explanation:

negative 7 minus 15 is negative 22

Answer:

$4

Step-by-step explanation:

Answer:

$4 per friend (she broke tho)

Answer:

D. 5

Step-by-step explanation:

distance between -3 and 2 on the number line is given as as:

\(2 - ( - 3) = 2 + 3 = 5 \: units\)

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The null and the alternative hypothesis for Noel's test are given as follows:

The claim for the test is given as follows:

"There is a significant difference in lifespan for people in the two towns."

At the null hypothesis, we test if the claim is false, that is, if there is not a significant difference in lifespan for people in the two towns, hence:

\(\mu_A = \mu_B\)

\(\mu_A - \mu_B = 0\)

At the alternative hypothesis, we test if the claim is true, that is, there is a significant difference in lifespan for people in the two towns, hence:

\(\mu_A \neq \mu_B\)

\(\mu_A - \mu_B \neq 0\)

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[  3   9   13 ] is the Matrix showing all types of property available in key west .

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.

given in the table that how many types of property are there in the table

its a simple matrix which u can directly see

its a  3 x 1 matrix ...

[3  9  13] this matrix shows the required value

hope this helps...

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Answer:  [3 9 13]

Step-by-step explanation:

The t-test value for the given collected data of hours of studying and exam grade is equal to 10.45.

As given in the question,

n = 5

Mean of the data ( time ) μ₁ = ( 1+ 3 + 4 + 3+ 6)/ 5

                                           = 3.4

Mean of the exam grade μ₂  = ( 55 + 75 + 80 + 85 + 99) / 5

                                           = 78.8

Standard deviation of time σ₁ = 1.82

Standard deviation of exam grade σ₂ = 16.04

Standard error of time = σ₁/√n

                                   = 1.82 / √5

                                   =0.81

Standard error of time =σ₂/√n

                                   = 16.04/ √5

                                   =7.17

Difference in mean of time and exam grade  = 78.8 - 3.4

                                                                      = 75.4

Standard error of difference 'S.E'= √ (0.81)² + (7.17)²

                                            = 7.215

t - test for the given data

= | μ₁ -  μ₂| / S.E.

= | 3.4 - 78.8| / 7.215

= 75.4 / 7.215

= 10.45

P value and statistical significance:

Two-tailed P value is smaller than 0.0001

Therefore, the t-test value for the given collected data is equal to 10.45.

The above question is incomplete , the complete question is:

Researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7.

hours of studying                            exam grade

1                                                       55

3                                                      75

4                                                      80

3                                                      85

6                                                      99

Calculate the t -test and interpret the data?

Answer:

13 and 7

Step-by-step explanation:

13 - 7 = 6

13 + 7 = 20

hope this helps...

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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37/36 is the value of each of following fraction.

In math, what is a fraction?

= 1/3+4/9×(-1/2)²

= 1/3 + 4/9 + 1/4

now take L. c .m of 3,9,4 = 36

= 12+ 16 + 9/36

= 37/36

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Answer:

\(D) y=-\frac{2}{3}x+ 2\)

Step-by-step explanation:

\(Equation ~ of ~ the ~ line~ is ~ y=mx+b\\\\m= slope\\\\b=y-intercept\)

\(to ~find ~ the ~ slope~ use ~ formula:-\\\\ slope=\frac{y_{2}-yx_{1} }{x_{2} -x_{1} } \\(0,2)(3,0)\)

\(slope=\frac{0-2}{3-0}\)

\(y-intercept ~ is (0,2) ~ so, b=2\)

\(The ~ equation ~ of ~ the ~ line~ is:- \\\)

\(y=-\frac{2}{3}x+2\)

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

hope it helps...

have a great day!!

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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