When you multiply a given fraction by a factor less than 1, the product will (always, sometimes, never) be less than the given fraction.
Answer choices ; always, sometimes, and never.

Answer: any number that can divide by 4 so 4, 8, 12, 16 would all work

Step-by-step explanation: there are 4 groups each has somthing in it if you take everything out of all of the groups it will be divisible by 4 because they all have the same amount of things so any number divisible by 4 will work

The 3 fraction models are the area model, which uses a shaded area to represent the fraction; the number line model, which uses a line to represent the fraction; and the set model, which uses a set of objects to represent the fraction.

1. Area Model: A visual representation of a fraction that shows a shaded area representing a whole, and the fraction is represented by the shaded area in relation to the whole.

2. Number Line Model: A visual representation of a fraction that uses a line to represent the whole, and the fraction is represented by a point on the line in relation to the whole.

3. Set Model: A visual representation of a fraction that uses a set of objects to represent the whole, and the fraction is represented by the number of objects in relation to the whole.

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The 3 fraction models are as follows;-

1- the area model- A visual representation of a fraction that shows a shaded area representing a whole, and the fraction is represented by the shaded area in relation to the whole.

2-the linear  model-A visual representation of a fraction that uses a line to represent the whole, and the fraction is represented by a point on the line in relation to the whole.

3- the set model- A visual representation of a fraction that uses a set of objects to represent the whole, and the fraction is represented by the number of objects in relation to the whole.

fraction model

A fraction bar model is where you draw a long rectangle and divide it into equal parts to show a fraction.

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The area of the circle is [tex]\pi r^2 = \pi \cdot \left(\frac{10}{2}\right)^2 = \boxed{25 \pi}$[/tex].

Since pq and pr are both vectors, we can find the length of the hypotenuse qr by taking the square root of the sum of the squares of the magnitudes of pq and pr. This is given by the Pythagorean Theorem:

[tex]$$qr = \sqrt{|pq|^2 + |pr|^2} = \sqrt{3^2 + 4^2 + (-8)^2 + 6^2} = 10$$[/tex]

Therefore, the area of the circle is [tex]\pi r^2 = \pi \cdot \left(\frac{10}{2}\right)^2 = \boxed{25 \pi}$[/tex].

The Pythagorean Theorem is a mathematical equation used to calculate the length of the sides of a right triangle. It states that the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse. In other words, a2 + b2 = c2, where a and b are the lengths of the two legs and c is the length of the hypotenuse.

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A triangle PQR is a right triangle and the area of the circle is 98.17 square units.

In this question we have been given the corners of triangle PQR lie on a circle.

We need to show that the triangle is right-angled otherwise we need to find the area of the circle.

Given that [tex]\vec{PQ}= 3\hat{i} + 4\hat{j}[/tex] and [tex]\vec{PR}= -8\hat{i} + 6\hat{j}[/tex]

Consider the product of PQ and PR.

[tex]\vec{PQ} . \vec{PR}=(3\hat{i} + 4\hat{ij}) . (-8\hat{i} + 6\hat{j})\\\\\vec{PQ} . \vec{PR}=-24|i|^2 + 18ij - 32ij + 24|j|^2\\\\\vec{PQ} . \vec{PR}= -14ij -24 + 24\\\\\vec{PQ} . \vec{PR}= -14ij\\\\\vec{PQ} . \vec{PR}= -14 |i| |j| cos < i, j > \\\\\vec{PQ} . \vec{PR}= 0[/tex]  

This means, PQ and PR are perpendicular to each other.

[tex]\Rightarrow \angle QPR=90^{\circ}[/tex]

Thus, the triangle PQR is a right triangle.

|PQ| = 5 units

|PR| = 10 units

Using Pythagoras theorem,

[tex]|QR| = \sqrt{|PQ|^2+ |PR|^2} \\\\|QR| = \sqrt{5^2 + 10^2}\\\\|QR| = \sqrt{25+100} \\\\|QR| = \sqrt{125} \\\\|QR| = 5\sqrt{5} ~~units[/tex]

We know that the hypotenuse is the alrgest side of right triangle.

So, hypotenuse of right triangle PQR = diameter of circle

So, the radius r of circle would be,

[tex]r = \frac{5\sqrt{5} }{2}[/tex]

Now we need to find the area of circle.

[tex]A = \pi\times r^2\\\\A = \pi \times (\frac{5\sqrt{5} √5}{2})^2\\\\A = \pi \times (\frac{125}{4})[/tex]

A = 98.17 square units

Therefore, the area is 98.17 square units

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A complete question is:

The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j. By showing that the triangle is right-angled, or otherwise, find the area of the circle.

Answer:75%or0.75.

Step-by-step explanation:  Based on the given conditions formulate:: 30 / 40Cross out the common factor: 3/4 3/4: 75% or 0.75.

Answer:

104 students

Step-by-step explanation:

This is an example of a proportion problem. However, its only 5 out of 8, we need it to say 65 out of x. We can solve this by multiplying both the top and bottom by 13. (Because to get 65 from 5, we need to multiply by 13)

5 bikes   x  13    =  65 bikes

____                          

8 students x 13 =  104 students

The required equations are 10⁴x = 2900 and 10²x = 29

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, which equation is making, 0.29.

Considering 10⁴x = 2900 and 10²x = 29

1) 10²x = 29

100x = 29

x = 29 /100

x = 0.29

2) 10⁴x = 2900

10000x = 2900

x = 2900 / 10000

x = 0.29

Hence, the equations making 0.29 are 10⁴x = 2900 and 10²x = 29

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The average rate of change on the interval -1 ≤ x ≤ 4 for the equation y = x^2 + 4x + 1 is 13/5.

What is the rate of change?

The rate of change refers to how much a function's output (y) changes with respect to a change in its input (x).

To find the average rate of change on the interval -1 ≤ x ≤ 4 for the equation y = x^2 + 4x + 1, we can use the formula:

average rate of change = (y2 - y1) / (x2 - x1)

Where y2 and y1 are the function values at x2 and x1 respectively.

So, we have:

average rate of change = (f(4) - f(-1)) / (4 - (-1))

where f(4) = 4² + 44 + 1 = 17 and f(-1) = (-1)² + 4(-1) + 1 = 4

Therefore,

average rate of change = (17 - 4) / (4 - (-1)) = 13 / 5

Hence, The average rate of change on the interval -1 ≤ x ≤ 4 for the equation y = x^2 + 4x + 1 is 13/5.

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To solve this we must be knowing each and every concept related to month. Therefore,  today's date is June 21st. It is also summer time in Canada.

A month is a measure of time used with calendars that is about the length of the Moon's natural orbital period; the phrases moon and Month are cognates. The conventional definition evolved from the lunar phase cycle; such lunar month ("lunations") comprise synodic months that last around 29.53 days.

In fifteen days it will be the first of the month. Fifteen days ago it was the first of the month. It is also summer time in Canada, then today's date is June 21st.

Therefore,  today's date is June 2st.

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The inequality to represent this situation is (11x+300)≤650

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, given that,

The school marching band has a budget of up to $650.00 to cover 11 new uniforms.

and competition fees that total $300.00.

Let, the cost of each new uniform = $x

Then cost for 11 uniforms = $11x

i.e. total cost = $ (11x + 300)

hence, we get,

$(11x+300)≤$650

(11x+300)≤650

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Answer:

x=0 and x=4/3

Step-by-step explanation:

The tangent line will be horizontal at the points where [tex]f'(x)=0[/tex]:

[tex]f(x)=x^3-2x^2\\f'(x)=3x^2-4x\\0=3x^2-4x\\0=x(3x-4)\\x=0,\frac{4}{3}[/tex]

Thus, at x=0 and x=4/3, the tangent line will be horizontal at those points.

The correct statement regarding whether juniors and earbuds are independent events are given as follows:

Yes, because P(A|B) = P(A).

If two events are independent, the multiplication of the probabilities of each event is equals to the probability of both events, that is:

P(A and B) = P(A) x P(B).

The conditional probability formula is given as follows:

P(B|A) = P(A and B)/P(A).

Hence, for independent events, we have that:

P(B|A) = P(B).

And also:

P(A|B) = P(A).

A probability of an event is calculated as the division of the number of total outcomes by the number of desired outcomes.

Out of 32 students, 16 are juniors, hence the probability of a junior student is given as follows:

P(A) = 16/32 = 0.5.

Out of 8 students with earbuds, 4 are juniors, meaning that the conditional probability is given as follows:

P(A|B) = 4/8 = 0.5.

As the probability is equal, these two events are independent, and the first statement is correct.

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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The solution to the simultaneous equation using elimination method is x = -4 4/11 and y = -1/11

Elimination method of solving simultaneous equation is by completing removing or eliminating a variable in order to solve for the other variable.

-4x+5y=17

4x+6y= - 16

Add both equations to eliminate x

5y + 6y = 17 + (-16)

11y = 17 - 16

11y = -1

divide both sides by 11

y = -1/11

Substitute into equation (1)

-4x+5y=17

-4x + 5(-1/11) = 17

-4x -5/11 = 17

-4x = 17 + 5/11

-4x = (187 + 5) /11

-4x = 192/11

divide both sides by -4

x = 192/11 ÷ -4

= 192/11 × -1/4

= -192/44

= - 4 16/44

x = -4 4/11

Therefore, x = -4 4/11 and y = -1/11 is the solution to the simultaneous equation -4x+5y=17; 4x+6y= - 16

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The interval of convergence is from (a - b) to (a + b), where b is a positive number.

1.  The radius of convergence R is given by the formula R = 1/|b|.

2.  The interval of convergence is given by the formula (a - b, a + b).

The radius of convergence R of a series is a measure of how quickly the series converges. It is calculated by taking the inverse of the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the radius of convergence is 1/|b|.

The interval of convergence is the region in which the series converges. It is determined by the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the interval of convergence is (a - b, a + b). This means that the series converges for values of x in the range from (a - b) to (a + b).

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A number has the digits 8 and 4. To the nearest 10 the number rounds to 50. The value of the number will be 48.

The general equation for writing a two-digit number is 10x+y,

Where, x = number placed at ten's digit, while y = number placed at unit's digit.

Here, numbers have two digits 8 and 4.

We can assume two different cases:

Case 1

When 8 is at ten's digit and 4 is at unit's digit

So, the value of the number will be =(10*8) +4 = 80+4 = 84

As the number is rounds to 50, but here in this case 84 can only be rounds to either 80, or 100 (when we round it to nearest 100)

So, this will not be the required number.

Case 2:

When, 8 is at unit digit and 4 it at ten's digit.

So, the value of the number will be (10*4)+8 = 40+8 = 48

As the number is rounds to 50, so in that case 48 can be rounds to 50.

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The number is 48.

The number 8 and 4 can be combined to make 84. The nearest 10 to 84 is 80. To get to 50, you must add 8 more, making the number 48.

The number 8 and 4 can be combined to create a two-digit number, 84. When rounding to the nearest 10, the number 84 rounds to 80. To get to 50, 8 more must be added, making the number 48. Therefore, the number that is composed of 8 and 4 and rounds to 50 is 48.

The two-digit number 8 and 4 combine to form 84. Rounding to the nearest 10 gives 80. To reach 50, 8 must be added, resulting in 48. Therefore, 8 and 4 together round to 50 and equal 48.

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The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

The correct answer is an option  A.

In this question we need to find the maximum mortgage payment allowed for someone with an annual salary of $73,025 using the standard 28/36 guidelines.

We know that the standard 28/36 rule used to calculate the amount of debt an individual or household should assume.

This rule says that a household should spend a maximum of 28% of its gross monthly income on total housing expenses and no more than 36% on total debt service.

Let the maximum mortgage payment allowed be x dollars

So, x = ((73025 x 36) / 100) / 12

x = (2,628,900 / 100) / 12

x = $2,190.75

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A complete question is:

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025?

a. $2,190. 75

b. $2,044. 70

c. $1,703. 92

d. $1,217. 8.

Answer:

a

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

Proportional Relationships ALWAYS goes through the origin so the answer is (0,0)

Answer:

m = 1/8

Step-by-step explanation:

m = y2-y1/x2-x1

m = -5+4/1-9

m = -1/-8

m = 1/8

Answer:

slope of line =y2-y1/x2-x1

lets consider (x1,y1)=(9,-4) so value of x1=9 and y1=-4

(x2,y2)=(1,-5) so value of x2=1 y=-5

answer =y2-y1/x2-x1=-5-(-4)/1-9=-1/-8

slope=1/8

i hope it helps

btw i am from india

Therefore , as a result, A = 84.3 sq unit is the answer to the pentagon presented challenge.

In geometry, a penta is a polygon having five sides. A simple pentagon's interior angles add up around 540°. It is possible to create simple or self-intersecting pentagons. A regular pentagon that intersects itself is a pentagram. A 2D polygon with five sides and 5 corners is called a pentagon. The English word "five" is derived from the Greek terms "gon" and "penta." The outcome of mixing the two syllables "Penta + Gon" is Pentagon.

Here,

The equation that is widely used to determine the area of the any regular hexagon that use the apothem or side is

Area for normal polygons = 1/2 perimeter the polygon apothem.

Thus ,area of pentagon

=> A = 1/4 * √5(5+2√5)

=>A  = 84.3 sq unit

Therefore , the solution of the given problem of pentagon comes out to be  A = 84.3 sq unit

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VII) (-i)^19 = -i. Option C

VIII) The imaginary part of i/1 + i = 1/2. Option C

IX) The modulus of 3 - 4i is 5. Option C

X) For Z = a + ib, sin θ = a/b. Option A

XI) There are 3 elements in the set. Option A

We know that the imaginary numbers has to do with the numbers that we can be not be able to find on the number line. These are not real numbers but they are very important in the process of computation. There are two parts of a complex number. We have the imaginary part and we have the real part.

It is sometimes possible that we can be able to represent the complex number by the use of an Argand diagram which shows the complex number in the polar form.

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Answer:

4 2/3

Step-by-step explanation:

7.25 ÷ 3 = 2 5/12 × 2 = 4 2/3

The range for 95% of the population would be from  60 inches to 68 inches.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean height for women is 64 inches with a standard deviation of 2 inches.

As we know that the range for 95% of the population would be as:

μ - σ < x < μ + σ

(64 - 2 × 2) < x <  (64 + 2 × 2)

60 < x < 68

Thus, the range would be from  60 inches to 68 inches.

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The camera had to cover the greatest angle will be camera 2. Then the correct option is D

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Degrees and sides in relation to one another The biggest side and angle of any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.

Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 110 ft from camera 2, which was 137 ft from camera 3. Cameras 1 and 3 were 158 ft apart.

The distance between Camera 1 and Camera 3 is the largest one. Then the camera had to cover the greatest angle will be camera 2. Then the correct option is D

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Answer:

48x - 32

Step-by-step explanation:

8(6x-4)

We want to distribute the 8 to each term inside the parentheses

8 *6x - 8* 4

48x - 32

[tex] \longmapsto \: 8(6x - 4 )[/tex]

[tex] \longmapsto \: 48x - 32[/tex]

The total number of  members Highland Church have, 113

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Two-thirds of the members of Highland Church attended the International Dinner

The members were not able to attend = 7

The total number of attendees = 71

Suppose the total members of Highland Church = x

So, 2/3x = 71

⇒ x = 106.5 ≈ 106

The total number in church = attendees + non attendees

                                             = 106 + 7

                                             = 113

So, 113 members lives in Highland Church

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The simplification of the Indices ((7c⁶d³)/(8c⁴d³))^-2 is 64c²/49

An index is a small number that tells us how many times a term has been multiplied by itself. The plural of index is indices. Below is an example of a term written in index form: 43. 4 is the base and 3 is the index.

Simplifying (7c⁶d³)/(8c⁴d³))^-2

Firstly we open the parentheses

(7^-2c^6-2d^3-2 ) ÷ 8^-2c^4-2d^3-2

= 7^-2c⁴d ÷ 8^-2c²d

= 7^-2/8^-2(c^4-2d^1-1)

= 7^-2/8^-2(c²)

= 1/49÷ 1/64(c²)

= 1/49× 64(c²)

= 64c²/49

Therefore the simplification of (7c⁶d³)/(8c⁴d³))^-2 is 64c²/49

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Answer: get smart bro

you would know it if you was smart

Step-by-step explanation:

you wont do your work, you always cheat, and you don't listen to the teacher

you need to find the answer out on your own.

P.S. i hope you have a good day :)