2.2.5a (Part 1): For the graph below, what is the x-intercept? *
-4 -2
2
-2
-4
y
2
4
0 points
X

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

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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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:

25

Step-by-step explanation:

x+115=180 (straight angle)

x= 65

y= 180-90-65

=25

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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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:

98

Step-by-step explanation:

There are 180 degrees in a triangle.

180 - 53 - 29 = 98

Answer:

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

Step-by-step explanation:

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 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:

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]

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:

Option C is correct

Correlation coefficient of the following data is 0.37

Step-by-step explanation:

Correlation coefficient formula :

r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]

x =  Data points in Data set x

y =  Data points in Data set y

[tex]x_{m}[/tex]= Mean of Data set x

[tex]y_{m}[/tex]= Mean of Data set y

Now put all the values and sumation it as of given in the formula

Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2

Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4

Now put the values in the equation

r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]

Now put every single value of x and y and after we will get the required Correlation coefficient.

And that is Correlation coefficient of the following data is 0.37

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Tony's coins in ascending order of value will be 5p, 10p, and 15p.

Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.

In this case, 5p + 10p + 15p = 30p

10p + 15p + 15p = 40p

5p + 5p + 10p + 15p + 15p = 50p

Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.

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Answer:

5p, 5p, 10p, 10p, 20p

Step-by-step explanation:

5p, 5p, 10p, 10p, 20p,

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.

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

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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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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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.

Answer:

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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Answer:

the algebraic expression is; x+15

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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Answer:

√72

Decimal Form:

1.32287565…

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

Answer:

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

Answer:

09 l

Step-by-step explanation:

p0-9

The equivalent exponential expression for the given radical expression √(3 + 7) is √10.

To convert the given radical expression √(3 + 7) into its equivalent exponential expression. This process involves using exponentiation to represent the radical form.

The given radical expression is √(3 + 7). To find its equivalent exponential expression, we need to express the radical in terms of an exponent.

Recall that a radical expression of the form √(a) is equivalent to raising 'a' to the power of 1/2. In this case, 'a' is the quantity inside the radical, which is 3 + 7. So, we can write:

√(3 + 7) = (3 + 7)^(1/2).

Next, we simplify the expression inside the parentheses:

3 + 7 = 10.

Now, the expression becomes:

(10)^(1/2).

To further simplify, we raise 10 to the power of 1/2. Recall that raising a number to the power of 1/2 is the same as finding the square root of that number. So:

(10)^(1/2) = √10.

Therefore, the equivalent exponential expression for the given radical expression √(3 + 7) is √10.

To summarize, we transformed the radical expression √(3 + 7) into its equivalent exponential expression √10 by using the rule that √(a) is equal to a^(1/2). By raising the expression inside the radical to the power of 1/2, we simplified it and found the square root of 10 as the final result.

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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:

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.