Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?

Answer:

a

2

−

b

2

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

a

and

b

=

b

.

The volume of the cylinder shown below is 252πcm³

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where:

r is the radius

h is the height

Given the following

radius = 6 units

height = 7 units

Substitute

V = πr²h

V = π(6)²(7)

V = 252πcm³

Hence the volume of the cylinder shown below is 252πcm³

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Answer:

98

Step-by-step explanation:

There are 180 degrees in a triangle.

180 - 53 - 29 = 98

Answer:

The conclusion derived by Mandy is incorrect.

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other. That constant is known as the "constant of proportionality".

To determine if the input and output are proportional, we simply divide the output (y) by the corresponding input (x).

i.e. Ratio[tex]=\frac{y}{x}[/tex]

So, we have:

[tex]Ratio=\frac{5}{1}=5[/tex]

[tex]Ratio=\frac{10}{2}=5\\ Ratio =\frac{25}{5}=5\\ Ratio=\frac{50}{10} =5[/tex]

For the four input and output data, the ratios are equal. This means that the relationship is proportional.

Hence, Mandy's conclusion is incorrect.

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ratios are equal, so its proportionate Mandy's conclusion is incorrect.

The formula that can be used to find the number of bacteria is FV = 1000 x 2^t.

The formula that can be used to determine the number of bacteria is an exponential function with the form:

FV = P(1 + r)^t

Where:

1000 x ( 1 + 1)^t

FV = 1000 x 2^t

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Answer:

please suscribe my chsnnal

clue technical

The only equation that is written in descending order is

2x³+4x²-7x+5 , Option D is the correct answer.

A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.

The standard form of a polynomial is

[tex]\rm a_1x^n +a_2x^{n-1}+............+a_0[/tex]

The only equation that is in its standard form or in other words

The only equation that is written in descending order is

2x³+4x²-7x+5 , Option D is the correct answer.

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Answer:

Step-by-step explanation:

If two ratios make a proportion then it can be shown as:

Let's verify the answer choices with this method

A. 1/4 and 5/25

B. 1/4 and 7/24

C. 1/4 and 10/48

D. 1/4 and 9/36

Answer:

9:6:10

Step-by-step explanation:

Copper: Zinc: Tin= C:Z:T

C:Z:T

3:2

  3:5

3x3=9

3x2=6

5x2=10

so, Copper:Zinc: Tin= 9:6:10

Answer:

Step-by-step explanation:

From  the diagram we can see:

The triangles have two congruent angles and one congruent side which is between those two angles.

It means the triangles are congruent by angle-side-angle or in short ASA theorem.

Correct answer choice is C

Answer:

√72

Decimal Form:

1.32287565…

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

Using proportion, the equivalent units of the following units are as follows:

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

weight(kg) = 40.82328 = 40.82 kg

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Answer:

Archimedes

Step-by-step explanation:

Archimedes is known as the Father Of Mathematics.

Answer:

Archimedes

Archimedes is known as the Father Of Mathematics

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C: 3/5.79=13/x

Step-by-step explanation:

Two ratios are said to be in proportion when the two ratios are equal

3 markers cost $5.79 in which the proportion price is unknown

13 markers cost x

markers / cost = markers / cost

3 / $5.79 = 13 / x

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The correct option is second one i.e 7x = 3

Therefore the results from adding the equation in this system are

7x = 3

Equations as,

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

  2x+y=8   .......................1

    5x-y=-5   .......................2

Result when adding equations 1 and 2 =?

On adding equations 1 and 2 the y term will get canceled and the like terms will combine is add (2x and 5x ) and ( 8 and - 5) as shown below

         2x    +    y    = 8

         5x   -   y     = - 5

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

         7x     + 0        =   3

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

Therefore the results from adding the equation in this system are 7x=3.

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Answer:

7x=3

Step-by-step explanation:

Answer:

So none of these would be a perfect square but the closet one to it would be 65

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

-9(5 - 2) - 111÷3 =

-9(3) - 111÷3 =

-27 - 111÷3 =

-27 - 37 =

-64

The time needed by Lola to sign all the 96 invitations is 508.8 second

Product is the number obtained when two numbers are multiplied with each other

It is given that

Total Invitations that Lola needs to sign = 96

Time taken to sign full name = 5.3 seconds

Total time needed by Lola to sign invitations is  

96 * 5.3

= 508.8 seconds

Therefore the time needed by Lola to sign all the 96 invitations is 508.8 second

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The single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

The change done to a shape on a coordinate plane by reflection ,translation and rotation is a called Transformation .

It is given that a shape is rotated to its origin

Then its image is reflected in the y axis.

The single transformation that would have the same result as the two transformations is (x,y) to (x,−y)

reflection of shape in x-axis .

The x stays the same, but the y changes sign.)

The change caused by Rotation by 180° about the origin,

(x,y) ------->  (−x,−y)

The change caused when reflected in the y-axis,

(x,y) --------> (−x,y)

Therefore the single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

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Answer:

w = 3 or 6

Step-by-step explanation:

[tex]w {}^{2} - 9w + 18 = 0 \\ w {}^{2} - 6w - 3w + 18 = 0 \\w(w - 6) - 3(w - 6) = 0 \\ w - 3 = 0 \\ w - 6 = 0 \\ w = 3 \: or \: 6[/tex]

Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.

If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.

Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.

Hence option A is correct.

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Answer:

a quadrilateral has 4 congruent sides

Step-by-step explanation:

Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

   = 37 + 21

   = 78

Hence, the number of bags that zips on them is 78.

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Answer:

Bags with zip = (bag with button and zip) + (bag with no button but only zip)

i.e.,

Rotal bags – (bags with neither of two + bags with only buttons)

=> 140-(39+23)

=> 140-62

=> 78

So, 78 bags have zips on them.

The correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equation is as follows:-

Here x is the variable which depends on the amount of sunlight and 4 is the original height of the plant so as the sunlight varies the value of x changes and it increases the height of the plant by 2 mm.

The graph of the equation is also attached with the answer. Therefore the correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.

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The resulting equation on using the completing the square is y = (x+5)² - 25

The quadratic equation has a leading degree of 2. Given the equation below;

y = x^2+10x

Add the square of the half of coefficient of x to have;

y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²

y = x^2 + 10x  + 25 - 25

y = (x+5)² - 25

Hence the resulting equation on using the completing the square is y = (x+5)² - 25

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The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.

From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.

On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.

Hence, the statement is true.

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Answer:

the algebraic expression is; x+15

Answer:

The answer is the second option: {4, 7, 10...}

Answer:

25

Step-by-step explanation:

x+115=180 (straight angle)

x= 65

y= 180-90-65

=25