2
What value of x makes the equation below true?
3.3x + 3.0 = 16.2

A 9.9
B. 5.82
C. 4
D. 1.64

Answer:

x = 7

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 24² = 25²

x² + 576 = 625 ( subtract 576 from both sides )

x² = 49 ( take square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .

For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

SOLUTION : -

Here in the triangle ,

Applying Pythagorean Theorem :

[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]

On squaring 24 and 24 we get ,

[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]

Subtracting 576 on both sides :

[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]

We get ,

[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]

Applying square root on both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]

Verifying : -

We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,

Therefore, our answer is correct .

Using translation concepts, it is found that the equation for function g(x) is given by:

[tex]y = -\frac{2}{3}|x|[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = |x|.

Researching the problem on the internet, function g(x) was reflected over the x-axis, and compressed by a factor of 2/3, hence it is multiplied by -2/3(negative due to the reflection), and the equation for function g(x) is given by:

[tex]y = -\frac{2}{3}|x|[/tex]

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Answer:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}[/tex]

Step-by-step explanation:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}[/tex]

Answer:

The correct answer is x=5

Answer:

K^1= (-8,10)

L^1 = (-4,10)

m^1 =(-5,10)

Step-by-step explanation:

all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.

The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

The standard expression for difference of two square is given as:

a^2- b^2 = (a-b)(a+b)

Given the equation

[tex]25x^4 -64[/tex]

This can also be expressed as:

[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]

This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

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Use the attachment (It has a full explanation and answer).

Answer:

1364.26 mm^2

Step-by-step explanation:

If this is correct: side length a =

30

side length b =

10

side length c =

24

prism height h =

18

then the answer would be 1364.26 mm^2

Answer: As an inequality —> -5 < w < 1

Step-by-step explanation:

We could easily solve this by factoring.

Given eqn:

[tex]\rm{4x ^{2} + 10x + 4 = 0}[/tex]

Solution:

Factor left side:

[tex] = > 2(2x + 1)(x + 2) = 0[/tex]

Write the factors to 0 to get our solution:

[tex] = > 2x + 1 = 0[/tex]

[tex] = > \boxed{ x = - \cfrac{1}{2} }[/tex]

or else,

[tex] = > x + 2 = 0[/tex]

[tex] = > \boxed{ x = - 2}[/tex]

[tex] \rule{225pt}{2pt}[/tex]

The margin of error for the interval (200 miles, 250 miles) is 25 miles.

An equation is an expression that shows the relationship between two or more variables and number.

The confidence interval = mean (m) ± margin of error (e) = m ± e

Hence:

m + e = 250    (1)

m - e = 200    (2)

From the both equations:

m = 225, e = 25

The margin of error for the interval (200 miles, 250 miles) is 25 miles.

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Answer:

See below

Step-by-step explanation:

b) 200 ft = -16 (t-2)^2  + 400

      200 / 16 = (t-2)^2

           sqrt (12.5 ) = t-2

              2 + sqrt (12.5)  = t  

Answer:

1: 22cm   2: 30m 3: 78.54

Step-by-step explanation:

1: (6x2)+(5x2)

     12+10

         22

2:  11+4=15

   15x2

      30

3:  25/2=12.5

      3.14x2=6.28

12.5x6.28=78.54

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

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Answer:

67 degrees

Step-by-step explanation:

Calculator!

Answer:

40,000

Step-by-step explanation:

I took the test

There are 40,000 possible codes that start with the prime number could Genvieve create.

For the first digit, Genevieve wants to start with a prime number.

The prime numbers between 0 and 9 are 2, 3, 5, and 7.

So, there are 4 choices for the first digit.

For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.

Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.

To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):

4 × 10⁴ = 40,000

Therefore, the correct answer is A) 40,000.

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Answer:

That's all

Step-by-step explanation:

1-We find 5% of 200

2-Cross multiply

3-add 5% of 200 to the original price

Answer:

D. 4

Step-by-step explanation:

x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.

Answer:

D

Step-by-step explanation:

the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3

Answer:

181104

Step-by-step explanation:

2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104

Answer:

181104

Step-by-step explanation:

2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104

Answer:

9.97 meters

Step-by-step explanation:

The silo is one leg of a right triangle    the other leg is the distance from the silo

for a right triangle    tan = opposite side / adjacent side

                                 tan(14) = height/40

                                40 tan 14 = height = 9.97 m

Answer:

$7500

Step-by-step explanation:

Let investment in 5% bond be x

(18000 - x) * 12% - x * 5% = 885

18000*12 - 12x - 5x = 88500

216000 - 88500 = 17x

x = 7500

Answer:

hot potato

Step-by-step explanation:

Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Answer:

77 "

Step-by-step explanation:

'mean' is the average of all of the heights

( 84 + 84  + 77 + 63 + 70 + 70  + x) / 7 = 75

  x = 77

Hey there!

3 * 10^2

= 3 * 10 * 10

= 3 * 100

= 300

AND

12 * 10^4

= 12 * 10 * 10 * 10 * 10

= 12 * 100 * 100

= 12 * 10,000

= 120,000

SIMPLIFYING the ANSWER

120,000 - 300

= 119,700

≈ 100,000

Therefore, your answer should be:

100,000

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

[tex]-11 \frac{2}{3} x -4\frac{1}{5} =[/tex]

First we change the mix number fractions into a improper fraction

[tex]\frac{-11*3+2 }{3} x- \frac{4*5+1}{5} =[/tex]

[tex]\frac{-33+2}{3} x- \frac{20+1}{5} =[/tex]

[tex]\frac{-31}{3}x - \frac{21}{5} =[/tex]

Give both fractions the common denominator 15 and subtract the fractions

[tex]\frac{-31x*5}{15} - \frac{21*3}{15}=[/tex]

[tex]\frac{-155x -63}{15}[/tex]

Answer:

27 km²

Step-by-step explanation:

Surface Area :

Answer:

Total surface area = 27 km²

Step-by-step explanation:

The surface area of a square based pyramid comprises:

Area of a triangle = 1/2 × base × height

                             = 1/2 × 3 × 3

                             = 4.5 km²

Area of a square = (side length)²

                            = 3²

                            = 9 km²

Total surface area = 4 triangles + square base

                              = (4 × 4.5) + 9

                              = 18 + 9

                              = 27 km²