One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?

Answer:

4*x

Step-by-step explanation:

Rachel spent 4 times more, so you multiply.

You need to multiply 4 and x.

The expression would be 4*x

The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

Answer:

Step-by-step explanation:

-2x + 6 = -6

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

⚡Hi⚡

-2x + 6 = -6

2x = 12

x = 6

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Yes, a 5 year old can typically count to 100.

Counting is the process of determining the number of elements in a given set or group of objects. Counting is a basic numerical skill that is used in mathematics and other fields. It involves recognizing patterns and comparing numbers to identify how many items are in a given set. Counting is an important part of early childhood education, as it introduces children to the concepts of number and quantity.

Depending on the child's exposure to numbers, they may be able to count even higher. Counting to 100 is a fundamental skill that can be developed through practice and repetition. Teaching a 5 year old to count to 100 can be done through activities such as counting objects, counting steps, and playing counting games.
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Answer:

40

Step-by-step explanation:

LCM OF 8 and 20 is:

8 = 2 * 2 * 2

20 = 2 * 2 * 5

LCM = 2 * 2 * 2 * 5

        = 40

Hence, the LCD is 40

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The absolute maximum value of f(x,y) = x² - 2y + 1 on the set R={(x,y): x² + y²≤9} is (25/2). So, the correct option is OA.

We have the function,f(x,y) = x² - 2y + 1 and set R= {(x,y): x² + y²≤9}

Let's find the absolute maximum value of f(x,y) in R. Therefore, we have to check the values of f(x,y) on the boundary of R which is x² + y² = 9f(x,y) = x² - 2y + 1

Now, we need to convert the above function into a single variable function.f(x,y) = x² - 2y + 1 = x² - 2y + 9 - 8

Now, replace x² + y² = 9 in the above function to get a single variable function.

f(x) = x² - 8y + 9

Now, differentiate the above function to find the critical points. f'(x) = 2x = 0 => x = 0

Putting this value of x in x² + y² = 9 to get the value of y.y² = 9 => y = ±3

Hence, the critical points are (0,3) and (0,-3). Now, let's find the value of f(x,y) at the critical points and the boundary of R to find the absolute maximum and minimum values of f(x,y).f(0,3) = 10f(0,-3) = 10

Now, let's find the value of f(x,y) on the boundary of R. f(x,y) = x² - 2y + 1At (x,y) = (±3,0)f(±3,0) = 10 f(x,y) has a critical point (0,3), which is the absolute maximum value in the set R={(x,y): x² + y²≤9}.

The absolute maximum value is (25/2). Therefore, the correct option is OA.

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Answer: f (3) = 3

Step-by-step explanation:

If f(1) = 1

Then

f(3) = 3

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Answer:

12.34

Step-by-step explanation:

Answer:

Angle BOC = 120°

Angle DOC = 60°

Angle ODC = 90°

Step-by-step explanation:

Triangle ABC is an equilateral triangle, therefore Angle BAC = 60°.

Now that we know Angle BAC, we can find Angle BOC: 2 × 60 = 120°

Angle DOC = ½ Angle BOC ( Radius drawn from centre to midpoint of chord, bisect the angle)

So Angle DOC = ½ (120) = 60°

Angle = 90° because D is the midpoint of chord BD and OD is a radius.

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

Since, In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

Hence, We get;

Distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

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Answer:

Gage is 7.

23 - 2 = 21

21/3 = 7

Answer:

\(192x ^{3} y ^{3} \)

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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If the population of a town grew from 8000 to 15,000. The expected population of the town in an additional 4 years is estimated to be around 15,887 people.

To estimate the expected population in 4 years, we need to determine the growth rate of the town's population. In this case, we can assume uninhibited exponential growth, which means the population is growing at a constant rate over time.

First, we calculate the growth rate per year by dividing the change in population (15,000 - 8,000 = 7,000) by the number of years (7):

Growth Rate per Year = (15,000 - 8,000) / 7 = 1,000 people per year. Next, we can use this growth rate to estimate the population in an additional 4 years. Since the population is growing exponentially, we can use the formula:

Population = Initial Population * (1 + Growth Rate per Year)^Number of Years. Plugging in the values, we get: Population = 15,000 * (1 + 1,000/15,000)^4 ≈ 15,887.

Therefore, based on uninhibited exponential growth, the expected population of the town in an additional 4 years is estimated to be around 15,887 people.

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1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer: the answer is B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

43°

Step-by-step explanation:

Answer:

A-   43

Step-by-step explanation:

ed2022

Answer:

6x-10

Step-by-step explanation:

2(3x-5)

2*3x   2*-5

6x-10

The measure of arc FE is 27degrees,angle m<B is 112degrees, <GHJ = <GIJ = 73⁰ , m<S = 90 degrees in the given circles

The sum of angle in the triangle DEF is 180 degrees

mFE = <D

Recall that <D+<E+<F = 180⁰

<D+63+90 = 180

<D = 180-153

<D = 27 degrees

Hence the measure of arc FE is 27degrees

6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

A + C = 180

m<A + 101 = 180

m<A = 180-101

m<A = 79degrees

Similarly

B + D = 180

m<B + 68 = 180

m<B = 180-68

m<B = 112degrees

7) The sum of angle in a circle is 360, hence;

arcGJ+68+31+115 = 36p

arcGJ = 360 - 214

arcGJ = 146⁰

Since the angle at the centre is twice angle at the circumference, then;

<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

<GHJ = 73⁰

<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)

8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.

P + R = 180

57 + <R = 180

m<R = 180-57

m<R = 123degrees

Similarly, m<Q+m<S = 180⁰

Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

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Answer:

A

Step-by-step explanation:

Answer:

c) 2700 m

Step-by-step explanation:

El atleta corre una carrera de 10 km.

Ya ha cubierto 7300 m. La distancia que queda por recorrer se puede encontrar restando 7300 m de 10 km.

10 km en metros son 10000 m (1 km = 1000 m)

Por lo tanto, la distancia que queda por recorrer es:

10000-7300 = 2700 m

The correct answers from the given lists are given as follows: Relation (a) a is (strictly) older than bA. irreflexiveB. asymmetricC. antisymmetricD. reflexiveE. transitive Relation (b) a and b have a common grandparentA.

irreflexiveB. antisymmetricC. symmetricD. reflexiveE. transitiveRelation (c) a has the same first name as bA. transitiveB. irreflexiveC. antisymmetricD. symmetricE. reflexiveRelation (d) a and b were born on the same dayA. transitiveB. reflexiveC. irreflexiveD. antisymmetricE. symmetric.

The given lists include different types of relations. Let's discuss the given relations one by one.(a) a is (strictly) older than b:This relation is irreflexive because a person can't be older than oneself. This relation is asymmetric because if a is older than b then it can't be possible that b is older than a.

This relation is antisymmetric because if a is older than b and b is older than a, then it means that a and b are the same person which is not possible. This relation is not reflexive because there is no one who is older than oneself. This relation is transitive because if a is older than b and b is older than c then a is also older than c.(b) a and b have a common grandparent:This relation is irreflexive because a person can't have a common grandparent with oneself. This relation is antisymmetric because if a has a common grandparent with b then it can't be possible that b has a common grandparent with a. This relation is symmetric because if a has a common grandparent with b then b also has a common grandparent with a. This relation is not reflexive because there is no one who has a common grandparent with oneself. This relation is transitive because if a has a common grandparent with b and b has a common grandparent with c then a also has a common grandparent with c.(c) a has the same first name as b:

This relation is transitive because if a has the same first name as b and b has the same first name as c then a has the same first name as c. This relation is irreflexive because a person can't have the same name as oneself. This relation is antisymmetric because if a has the same name as b then it can't be possible that b has the same name as a. This relation is symmetric because if a has the same name as b then b also has the same name as a. This relation is not reflexive because there is no one who has the same name as oneself.

(d) a and b were born on the same day: This relation is transitive because if a was born on the same day as b and b was born on the same day as c then a was born on the same day as c. This relation is reflexive because every person is born on the same day as oneself. This relation is irreflexive because no person is born on a different day than oneself. This relation is antisymmetric because if a was born on the same day as b then it can't be possible that b was born on the same day as a. This relation is symmetric because if a was born on the same day as b then b was also born on the same day as a.

The correct answers for each given relation are listed above.

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The length of this pencil is 16.12 cm.

In order to determine the length of this pencil (diagonal of rectangular figure), we would have to apply Pythagorean's theorem.

In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

By substituting the side lengths of this rectangular figure, we have the following:

z² = x² + y²

z² = 14² + 8²

z² = 196 + 64

z² = 260

z = √260

y = 16.12 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

10

Step-by-step explanation:

If he runs 50 minutes 50 divided by 5 is 10

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value,b) Customs duties in these three cases are typically calculated based on the customs value of the imported goods.

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value. The transaction value is the price actually paid or payable for the imported goods, which typically includes the cost of the goods themselves, any assists (such as packaging or materials provided by the buyer), royalties, license fees, and any other payments made as a condition of sale.

b) To calculate customs duties in these cases, the customs value is used as the basis. The customs value includes the transaction value and certain adjustments, such as the cost of transportation to the place of importation, loading, unloading, and handling charges incurred in transporting the goods to the importing country, as well as the cost of insurance. These adjustments are necessary to determine the value of the goods at the time and place of importation.

Once the customs value is determined, customs duties are applied to this value based on the applicable tariff rates or preferential trade agreements. Customs duties are typically calculated as a percentage of the customs value, although specific duty rates or other calculation methods may also be used depending on the nature of the imported goods and the relevant customs regulations of the country.

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