The following triangle is an isosceles triangle. What is the length of the missing side?

x² - 4x + 4 is the graphed parabola, so the correct option is D.

On the graph, we can see a parabola that opens upwards (then the leading coefficient is positive), and has a vertex at the point (2, 0).

Also, we can see that the y-intercept is y = 4, that means that the constant term of the parabola is 4.

The only option with a constant term equal to 4 is the last option:

y = (x - 2)*(x - 2) = x² - 4x + 4

So that is the graphed parabola.

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The total surface area of the trapezoidal prism is 180m². Option C

The formula for the total surface area of a trapezoidal prism is;

Total surface area = h (b + d) + l (a + b + c + d)

Where

b and d are parallel sides = 3, 9

h is the distance = 8

l is the length of the trapezoidal prism. = 12

Substitute into the formula

Total surface area = [tex]8(3 + 6) + 12(3 + 6)[/tex]

Total surface area = 72 + 108

Total surface area = 180 m²

Thus, the total surface area of the trapezoidal prism is 180m². Option C

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The cost of the television before VAT was added is $360 and the value of the television at the end of the third year is $288.3

VAT is an acronym for Value Added Tax. This is a tax attach to goods and products.

Given that the price of a new television is $423. This price includes VAT in 17 1/2%.

a) The cost of the television before VAT was added is calculated below.

Let the initial cost = C

(17.5 + 100)/100 x C = 423

117.5/100 x C = 423

1.175C = 423

C = 423/1.175

C = $360

b. By the end of the year, the value of a television has fallen by 12% of its value at the start of that year. If the value of a television was $423 at the start of the year, the value of the television at the end of the third year will be calculated by using the formula

A = P(1 - R%)^3

Substitute all the parameters

A = 423(1 - 12/100)^3

A = 423 x [tex]0.88^{3}[/tex]

A = 288.3 dollars

Therefore, cost of the television before VAT was added is $360 and the value of the television at the end of the third year is $288.3

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Answer: b. 125

Step-by-step explanation:

Find the square roots of each, and if the square root is a decimal, it is not a perfect square.

Square root of 81: 9

Square root of 49: 7

Square root of 100: 10

That leaves 125.

Percentage error is the difference between an actual value and its expected value per the actual value which is expressed in percentage. In the given question, the percentage error is option b.  0.0772

Percentage error is the difference between an actual value and its expected value per the actual value which is expressed in percentage.

This can be expressed as;

percentage error = [tex]\frac{actual value - expected value}{actual value}[/tex] x 100%

Where the actual value is the accurate value, and the expected value is derived from the actual value.

Thus in the given question, it can be deduced that,

actual value = 625.483

expected value = 625.000

The difference between the two values = (625.483 - 625.000)

                                                  = 0.483

So that,

percentage error = [tex]\frac{0.483}{625.483}[/tex] x 100%

                   = 0.07722

percentage error = 0.0772

Therefore, the required percentage error is 0.0772 i.e option b.

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Answer:

Python will return:

True

Step-by-step explanation:

The math function ** is an exponent indicator.

The equation you made was:
[tex]2^2 =4[/tex]

When you run this in python, it will return as true.

It is run as a Boolean expression because you have already provided the answer to the expression with the "==" statement.

If you had provided an incorrect answer (setting it equal to any number other than 4), it would return False.

The least possible value of n is 27.

According to the statement

We have given that the set which is {2,4,6,8.....n} and and one set is removed from them the average of remaining integers is 28.

Then

Firstly set contain n numbers

But after that set contain n-1 numbers after removal of 1 digit from them.

and average value of remaining digit is 28 then 28th term become after removal is

28th term =28*2

28th term = 56.

then

we use the formula to calculate n

n-1 =28

then the value of n become 27.

the least possible value of n is 27.

So, The least possible value of n is 27.

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Answer:

width is 8, length is 32

Step-by-step explanation:

* = multiply or times

Let the width be x, then the length would be 4x

Perimeter = 2*length+2*width

80 = 2*4x+2*x

80 = 8x+2x

80 = 10x

8 = x (width)

32 = 4x (length)

Applying the commutative law to our question, we have; 14 + ab = ab + 14

The commutative law in algebra states that the change in position of two numbers while adding or multiplying them does not change the result. For example;

ab + cd = cd + ab

similarly, fg * jk = jk * fg

Applying the above commutative law to our question, we have;

14 + ab = ab + 14

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Answer:

que necesitas? acaso necesitas algo fan de Sparta o no

Step-by-step explanation:

ok

Answer:

B) (6, 17)

Step-by-step explanation:

y = 3x - 1

To find a solution to the equation

Let x = 6

y = 3*6 -1

y = 18-1

y = 17

One possible solution is ( 6,17)

This is choice B

The equation that describes the new function is y' = x^2 + 5

The function is given as:

y = x^2

Shifting the function up by 5 units, the rule is

(x, y) = (x, y + 5)

So, we have:

y' = x^2 + 5

Hence, the equation that describes the new function is y' = x^2 + 5

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Answer: 422.5

Step-by-step explanation: To find how many mangoes were sold at 15.50 pesos, find 3/5 of the total number of mangoes. 3/5 of 25 is 15 because 3 (numerator) times 25 (mangoes) divided by 5 (denominator) is 15. 15 times 15.50 (price) is 232.5 pesos. Next we take the remaining mangoes (10) and multiply it by the price (19) to get 190 pesos. Add the sales and you get 422.5 pesos.

Answer:

422.50 pesos total

Step-by-step explanation:

3/5 ths of 25 = 15

(1/5th of 25 is 5, so we can multiply that number by 3 (3)(5) to get what 3/5ths of 25 are)

So, 15 mangoes were sold at 15.50 pesos

15 × 15.50 = 232.50

(why is this multiplication?  

remember that repeated addition is multiplication. We are adding the cost of each mango (15.50) 15 times, which we could write as 15.50 + 15.50... 15 times, or we could simply multiply the two values :)   )  

Because this vendor has sold 15 of his mangoes, he has 10 left (25 - 15 = 10), so we multiply

10 × 19.00 to find the combined cost:

10 × 19.00 = 190.00

Now, we want to find the total sale (how much money he made in total, from all 25 mangoes)

So, let's add our two values together:

  232.50

+ 190.00

 422. 50

So, the vendor made 422.50 pesos total from his mangoes

hope this helps! have a lovely day :)

Answer:

Step-by-step explanation:

The height of the pyramid (h) = 3.6m

The perimeter of the base = 4.1m

Volume of a pyramid = ?

Formula:-

[tex]\boxed{\sf Volume =\cfrac{1}{3} \: a^2h}[/tex]

So,

Perimeter = 4a

[tex]\sf 4.1=4a[/tex]

[tex]\sf a=1.025[/tex]

Now, let's put the value of a in the formula:-

[tex]\sf V=\cfrac{1}{3} \:(1.025)^{2} (3.6)[/tex]

[tex]\sf 1.26075m^2[/tex]

[tex]\sf \thickapprox 1.3m^3[/tex]

Therefore, the volume of the pyramid is 1.3m³.

The set  (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is not a vector space.

A set is a vector space if it satisfy all the addition operation axiom and scalar multiplication axiom.

Addition operation:

Commutativity -

(x1, x2) + (y1, y2) equals  (x1 - x2,  y1 + y2) equals  (y1, y2) + (x1, x2)

Associativity -

(x1, x2) plus ((y1, y2) plus (z1, z2)) = (x1, x2) + (z1 + y1, z2 + y2) = (x1+ y1 + z1, x2 + y2 + z2) =

((x1, x2)   + (y1, y2)) + (z1, z2)

Zero element -

(0, 0)  → (x1, x2) + (0, 0) = (x1, x2)

Inverse element -

(x1, x2)  adding (-x1, -x2) = (0, 0)

Scalar multiplication:

Compatibility -

a(b (x, y)) = a(bx, 0) = (abx, 0) = b(ax, 0) = b(a(x, y))

Identity element -

1(x, y) = (x, 0) ≠ (x, y)     [Identity element doesn’t exist for this operation.)

Distributivity law -

a((x1, x2) + (y1, y2)) = a(x1 + y1, x2 + y2) = (a(x1 + y1), 0) = a(x1, x2) + a(y1, y2)

Distributivity law -

(a + b)(x, y) = ((a + b)x, 0) = (ax, 0) + (bx, 0) = a(x, y) + b(x, y)

The scalar multiplication postulate is not fulfilled in this space (this operation does not have the identity element). It is therefore not a vector space.

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The length of side VW is 7.5 cm

The given parameters are:

DE is 6 cm, EF is 7.5 cm, and DF is 5 cm

Since the two triangles are congruent, then it means that:

So, we have:

VW= EF

The side EF is

EF = 7.5 cm

So, we have:

VW = 7.5 cm

Hence, the length of side VW is 7.5 cm

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The solution to the system of equations is (-1.189, 3.587) and (1.189, 3.587)

The system of equations is given as

y=e^x+e^-x

y=5-x^2

See attachment for the graph of both equations

From the attached graph, the curve intersect at

(-1.189, 3.587) and (1.189, 3.587)

Hence, the solution to the system of equations is (-1.189, 3.587) and (1.189, 3.587)

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The equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]

The expression is given as:

[tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex]

Divide 3 and 15 by 3

[tex]\frac{x^{-6}y^{-3}}{5x^2y^{10}}[/tex]

Apply the law of indices

[tex]\frac{1}{5x^{2+6}y^{10+3}}[/tex]

Evaluate the sum

[tex]\frac{1}{5x^{8}y^{13}}[/tex]

Hence, the equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]

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Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

Given expression:

 3x² + 6x + 5 - 3x (2 + x)

Expand parenthesis by distributive property:

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

Put like terms together:

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= [tex]\boxed{5}[/tex]

Concept:

Polynomial is classified by the number of terms a polynomial has.

Classify the given expression:

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a monomial.

Hope this helps!! :)

Please let me know if you have any questions

The answer is 5, which is a monomial.

Let's simplify using the distributive property.

If the resulting expression has only one term, it is classified as a monomial.

Answer:

$1.00 = 10 cent each

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

thats what i got

Helen needs a replacement ball bearing whose radius is 5.99mm

A sphere is a perfectly round geometrical 3-dimensional object. It can be characterized as the set of all points located distance r (radius) away from a given point (center). It is perfectly symmetrical, and has no edges or vertices.

The formula of surface area of the sphere is [tex]4\pi r^{2}[/tex] where r represents radius

Given:  Surface area of ball  = 452.16[tex]mm^{2}[/tex]

Using formula we get,

[tex]4\pi r^{2}[/tex] = 452.16[tex]mm^{2}[/tex]

r^2 = 452.16/4[tex]\pi[/tex]

r = 5.99 mm

Thus Helen needs a replacement ball bearing whose radius is 5.99mm

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The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true.

It should be noted that an inequality simply means a statement of an order relationship between two numbers and algebraic expressions.

From the information given, the equation illustrated is:

y < -0.2x² + 9x - 7.

63 < 0.2(10)² + (9 × 10) - 7

63 < 20 + 90 - 7.

63 < 103

In this case, the ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true since sixty there is less than one hundred and three.

Therefore, this is true.

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Complete question:

The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. Please select the best answer from the choices provided

True

False

The wavelength of X-rays for the given frequency is [tex]$1 \times 10^{-10} \mathrm{~m}$[/tex].

The distance between the two crests or troughs of the light wave is known as the wavelength of light.

The color of light is determined by its wavelength, and the pitch of sound is determined by its wavelength. The visible spectrum of light has wavelengths between around 700 nm (red) to 400 nm (violet). The range of audible sound wavelengths is roughly 17 mm to 17 m.

To calculate the wavelength of light, we use the equation:

[tex]$\lambda=\frac{c}{\nu}$[/tex]

where,

λ = wavelength of the light  

c = speed of light = [tex]$3 \times 10^{8} \mathrm{~m} / \mathrm{s}$[/tex]

ν= frequency of light = [tex]$3 \times 10^{18} s^{-1}$[/tex]

Putting the above value in equation,

[tex]$\lambda=\frac{3 \times 10^{8} \mathrm{~m} / \mathrm{s}}{3 \times 10^{19} \mathrm{~s}-1}=1 \times 10^{-10} \mathrm{~m}$[/tex]

Hence, the wavelength of X-rays for the given frequency is [tex]$1 \times 10^{-10} \mathrm{~m}$[/tex].

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Answer: 2/3

Step-by-step explanation:

The common denominator would be 3(x-1). Thus, you need to multiply the expression on the right by 3/3 to achieve a common denominator. Then you would have 3x/3(x-1).

The equation then is 2/3(x-1) = 3x/3(x-1)

You can cancel out the denominators now, and you have 2 = 3x, so x = 2/3

Answer:

A

Step-by-step explanation:

The value of X that number of unit fails are 1/12.

According to the statement

we have a given that the there is a shipment of 60 highly sensitive accelerometer. And there is a testing of randomly 5 accelerometers.

And we have to find that the how much units that fails in the specifications.

So,

We find the value of X by use of Probability.

The probability that unit fails = number of units that chosen randomly / total units.

So, substitute the values in it then

The probability that unit fails = 5 / 60

The probability that unit fails = 1 / 12.

The probability that unit fails from 60 accelemoters  is 1 / 12.

So, The value of X that number of unit fails are 1/12.

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When sampling with replacement is used, an element that has already been chosen is put back into the sample frame and given the chance to be chosen again.

In the case of sampling without replacement, an element is eliminated from the sample frame after it has been chosen.

In this question, we are supposed to state the differences between sampling with replacement and sampling without replacement.

Generally speaking, sampling without replacement is more effective than producing representative samples using replacement sampling. It prevents the inclusion of the same population element in the sample several times.

By "drawing from a hat" or by using a computer program that simulates the same process, you select the sample at random using the lottery method.

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Step-by-step explanation:

z is the answer of your question 15 is correct answer