A cake decorator is rolling a square of fondant into a rectangle. the area of the rectangle can be represented by the expression 1.5s(2s). simplify the expression representing the area. 3.5s 3s2 3.5s2 3s

Answer:

D

Step-by-step explanation:

definitely

A real-life example of a hidden variable would be age in research that checks the correlation between shirt sizes in grade school and reading ability.

In a research that checks whether student shirt sizes (independent variable) have an impact on reading ability, it is found that students with high shirt sizes are better at reading.

A hidden variable here is age. Students who are older will more likely have a higher shirt size and better reading comprehension.

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The area of the shaded sector must be 144π units².

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = [tex]\pi r^{2}[/tex]

We know that the angle measurement of central angle QRS is less than π radians.

for r = 18 units

The area of the circle = π18² = 324π  units²

The area of ​​the half of a circle = 324π /2 = 162π units²

The area of ​​a quarter of a circle = 324π /4 = 81π  units²

so

The area of the shaded sector < 162π  units²

and

The area of the shaded sector > 81π  units²

Hence the answer must be 144π units²

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Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

3. Divide both sides by the same factor

4. Simplify

Answer:

I believe "uncontrolled variables."

Step-by-step explanation:

Since there was no measure, nor control, of these other variables, the data may be questionable.  

Answer:

the answer is d........

The equation which is used to model this function is y = 25x.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

x=2 , y=50

x=4, y=100

As, corresponding to x =2 , y =50

For x=1 , y=25

Hence, the equation which is used to model this function is y = 25x.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \large Scaler : [/tex]

[tex]\qquad \tt \large Vector : [/tex]

____________________________________

[tex] \large \tt Explanation \: : [/tex]

[tex] \textsf{Scaler quantity : } [/tex]

Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.

Operations on Scaler quantities can be done by simple algebraic rules.

Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc

[tex] \textsf{Vector quantity } [/tex]

Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.

Vector algebra is used for operations on vector quantities.

Eg. Impedance, Torque, etc

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: [tex]\textsf{45 + x = 75}[/tex]

Need:  [tex]\textsf{The value of the unknown x}[/tex]

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

After simplifying the expression we were able to determine that x is equal to 30.

Answer:

Option 1

Step-by-step explanation:

See attached image

Answer:

one solution from the amount of numbers

The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.

Given suspicion of 9.7% that buy a magazine is correct.

We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.

The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.

[tex]P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}[/tex]

In which [tex]C_{n,x}=n!/x!(n-x)![/tex]

And P is the probability of happening of X.

In the question 9.7% of his customers buy a magazine.

So the value of P=0.097

This can be calculated by :

P(X=5) when n=13

[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]

[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]

=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]

[tex]=10!/5!5!*0.0000085*0.600397[/tex]

=252*0.00000510

=0.001286

Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.

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Answer:

see explanation

Step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

if the sides are a, b, c , then the following must be true

a + b > c

a + c < b

b + c > a

for the 3 sides to form a triangle

Answer:

21

Step-by-step explanation:

a,a+2,..

4(a+2)=29+3a

4a+8=29+3a

4a-3a=29-8

a=21

Answer:

(X- 3)² - 0

(X - 3 )( X - 3 )

x² + 9 - 6x

x² - 6x + 9

a = 1

b = -6

c = 9

Answer:

   [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Step-by-step explanation:

Transform - y-25^2=-100

divide

simplify

x plus-minus [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Since two of the angles are equal, hence the triangle ABC is isosceles triangle

A triangle is a  2D shape that has 3 sides and angles

From the given triangle

<CAB = 50 (alternate angle) and;

<ACB = 180 - (50 + 80)

<ACB = 180 -130

<ACB = 50 degrees

Since two of the angles are equal, hence the triangle ABC is isosceles triangle

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D option is correct by SSS congruence rule

Answer:

1st option

Step-by-step explanation:

using the rules of logarithms

• log x + log y = log xy

• n logx ⇔[tex]x^{n}[/tex]

given

2[tex]log_{2}[/tex] 3 + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] 3² + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] 9 + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] (9 × 3)

= [tex]log_{2}[/tex] 27

The simplified form of the expression is [tex]4^{-1/3}[/tex]

Given the indices expression as shown;
[tex]\frac{(4^{1/3}\times 4^{2/6} )^{3/4}}{4^{5/6}}[/tex]

Applying the product and quotient law of indices

[tex]\frac{(4^{1/3+1/3})^{3/4}}{4^{5/6}}\\\frac{(4^{2/3})^{3/4}}{4^{5/6}}\\\frac{4^{1/2}}{4^{5/6}}\\[/tex]

Take the difference in the power to have:

4^(1/2 - 5/6)

4^(-2/6)

[tex]4^{-1/3}[/tex]

Hence the simplified form of the expression is [tex]4^{-1/3}[/tex]

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Answer:

B) 2y² - y - 6 = 0

Given following:

Insert equation 1 into 2:

Put in second

Step-by-step explanation:

2600 = 2000•e^3k

e^3k = 2600/2000

e^3k = 13/10

3k = ln(13/10)

k ≈ 0.087

P = 2000•e^0.087•9

P = 4376

Answer:

The value of x is 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

11−2x+6x+5=32

11+−2x+6x+5=32

(−2x+6x)+(11+5)=32

4x+16=32

4x+16=32

Step 2: Subtract 16 from both sides.

4x+16−16=32−16

4x=16

Step 3: Divide both sides by 4.

((4x)/4) = (16/4)

x = 4

Answer:

11-2x+6x=32-5

-2x+6x=27-11

-2x+6x=16

4x÷4=16÷4

x=4

Answer:

length = 4 cm

Width = 5 cm

Step-by-step explanation:

      Area of rectangle = length * width

length = (x - 3) meters

Width = (x - 2) meter

Area = 20 square meters

  (x - 3)*(x - 2) = 20

Use FOIL method.

   x*x + (x)(-2) + (-3)*x + (-3)*(-2) = 20

                         x² -2x  - 3x + 6 =20

         Combine like terms

                        x² - 5x + 6  = 20

Now subtract 20 from both side

                     x² - 5x + 6 - 20 = 0

                           x² - 5x - 14  = 0

Factorize the equation and find the roots

         Sum = -5

   Product = -14

    Factors =  (-7) , 2

When we add (-7) + 2 = -5 and when we multiply (-7)*2 = -14

x² + 2x - 7x - 14 = 0

 x(x + 2) -7(x + 2) = 0

 (x + 2)(x - 7)  = 0

  x - 7 = 0    {Ignore (x + 2 = 0) as measurements wont't be in negative}

x = 7

length = x - 3

          = 7 - 3

   [tex]\sf \boxed{\bf length = 4 \ cm}[/tex]

width = x - 2

         = 7 - 2

    [tex]\sf \boxed{\bf width = 5 \ cm }[/tex]

The piece-wise function is defined as follows:

A piece-wise function is a function that has multiple definitions, depending on the input.

In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:

[tex]f(x) = x^2, 0 \leq x < 3[/tex]

For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:

[tex]m = \frac{9 - 4}{3 - 6} = -\frac{5}{3}[/tex]

[tex]f(x) = -\frac{5}{3}x + b[/tex]

Goes through (3,9), hence:

[tex]9 = -\frac{5}{3}(3) + b[/tex]

b = 14.

So

[tex]f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6[/tex]

For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:

[tex]m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}[/tex]

Then:

[tex]f(x) = \frac{3}{2}x + b[/tex]

When x = 10, f(x) = 10, hence:

[tex]10 = \frac{3}{2}(10) + b[/tex]

10 = 15 + b

b = -5.

Hence:

[tex]f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10[/tex]

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Answer:

the algebraic expression is; x+3=14