compare and contrast perfect squares and imperfect squares. explain your reasoning by talking about square roots and the process of finding perfect square roots and imperfect square roots.

Answer:

  $30 : $50

Step-by-step explanation:

3+5 is a total of 8 "ratio units." Then each one represents $80/8 = $10.

  3 units represents $30

  5 units represents $50

The required division is $30 : $50.

If 8 friends go camping and only 5 friends have sleeping bag

Then of the 8 friends, the number that need a sleeping bag would be

= 8 - 5

= 3

Hence 3 friends will be in need of a sleeping bag

Answer:

2

Step-by-step explanation:

None

Answer:

the answer is 2

Step-by-step explanation:

No explanation

The value οf the expressiοn is \(-cot^2x\).

Trigοnοmetry deals in a right angled triangle by giving the ratiο οf variοus sides οf the right angled triangle.

An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.

\(\frac{sin^2(\frac{\pi }{2}-x) }{cos^2-1} \\= \frac{cos^2x}{cos^2-1} \\=\frac{cos^2x}{cos^2x-sin^2x-cos^2x} \\=\frac{cos^2x}{-sin^2x} =-cot^2x\)

Hence, the value of the expression is \(-cot^2x\).

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the least is 0.08

the greatest is 8.0

least to greatest

0.08, 0.8, 8.0

Answer:

0.08, 0.8, 8.8.0

Step-by-step explanation:

Hundreds, Tenths, Ones

Answer:

6 1/3

Step-by-step explanation:

Answer:

Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway.

Step-by-step explanation:

Engineering & Design pathway⇒ A methodological series of steps that are used by engineers in creating functional products and processes.

Science & Methodology pathway⇒ Steps used by scientists to create explanations based on the evidence which they have gathered.

Hence, [A] Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway is the correct answer.

[RevyBreeze]

Answer:

A - Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway.

Step-by-step explanation:

Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined

Answer:

D

Step-by-step explanation:

They are complementary angles. Equate the given to 180° and then proceed arithmetic operations. I hope it helps.

Answer:

a)0.7 is greater than>0.52

b)0.52 is greater than>0.045

c)0.49 is less than<0.94

d)0.302 is greater than>0.23

e)0.9 is greater than>0.6

f)2.36 is less than<3.19

The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

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Answer:

551.8

Step-by-step explanation:

5.2\times 104 is 540.8

1.3\times 10-2 is 11

540.8 + 11 =551.8

Answer:

The answer is 676.

Step-by-step explanation:

I think you mean 5.2 multiplied by \(10^{4}\), and 1.3 multiplied by \(10^{-2}\).

Or do you mean 5.2 multiplied by 104 and 1.3 multiplied by 10 then subtract 2? Not really clear, but I'm going to go with the first option.

5.2 * \(10^{4}\) = 52,000

1.3 * \(10^{-2}\) = 0.013

52,000 * 0.013 = 676

The answer is 676.

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

A function g(x) that represents the exponential function f(x)=2ˣ after a horizontal compression of 2 and a reflection across the y-axis is g(x) = 1/2 ×2ˣ.

Given that, the exponential function is f(x)=2ˣ.

A function g(x) becomes, after a horizontal compression of 2 and a reflection across the y-axis.

Here, g(x) = 1/2 ×2ˣ

Therefore, a function g(x) that represents the exponential function f(x)=2ˣ after a horizontal compression of 2 and a reflection across the y-axis is g(x) = 1/2 ×2ˣ.

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Answer:

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

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

Answer:

257 people are satisfied

Step-by-step explanation:

11/15 is the fraction that are satisfied

11/15 * 350 =256.6(repeating)

Rounding to the nearest whole person

257 people are satisfied

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

75 cm

Step-by-step explanation:

→ Convert 1.5m to cm

150 cm

→ Minus answer from 225

225 - 150 = 75

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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The centroid of the region is (3,1).

The centroid of a region is a point that is the average of all the vertices of the region. In other words, it is the point that is the center of mass of the region. To find the centroid of a region, we need to find the x and y coordinates of the vertices of the region and then take the average of these coordinates.

To find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 8x, and the line x + y = 6, we need to find the x and y coordinates of the vertices of the region.

The parabola y^2 = 8x and the line x + y = 6 are the equations of the boundaries of the region. We can find the vertices of the region by solving for the points where these two equations intersect.

The parabola y^2 = 8x can be rewritten as y = ±√8x. So the x-coordinate of the vertex of the parabola is (3,3).

The line x + y = 6 can be rewritten as y = -x + 6. So the x-coordinate of the vertex of the line is (0,6) and (6,0).

So the three vertices of the region are (0,0), (3,3), and (6,0).

So the centroid of the region is (3,1).

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Answer:

Step-by-step explanation:

First, the data set is:

  Gender     Race        Salary   WorkTimeStatus   Education   Tenure

1. Female  Caucasian  32196     Full Time                     14yrs          2 yrs

2. Male      Black          62385    Full Time                     16yrs         10yrs

Now to the questions:

(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).

(B) This data set contains 6 variables;

1. Gender  2. Race  3. Salary  4. Work time status  5. Years of education

6. Number of years in/with the company

(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:

3. Salary   5. Years of education   6. Years with the company

Altogether, 3 in number

(D) The qualitative variables are:

1. Gender   2. Race   4. Work Time Status

Altogether that's 3 variables

Check the picture below.

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+56}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)\)

\(\left(-\cfrac{ 56}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (56)^2}{4(-16)}\right) \implies \left( - \cfrac{ 56 }{ -32 }~~,~~0 - \cfrac{ 3136 }{ -64 } \right) \\\\\\ \left( \cfrac{7}{4}~~,~~49 \right)\implies \stackrel{seconds\qquad feet}{\left(1\frac{3}{4} ~~ ~~,~ ~~ ~49 \right)}\)

Answer:

What strip?

Step-by-step explanation:

The equation will be,

→ 5/10 = 12/24

Is 5/10 equivalent to 12/24?

→ 5/10 = 12/24

→ 24 × 5 = 12 × 10

→ 120 = 120

→ [ LHS = RHS ]

Hence, they are equivalent.

Step-by-step explanation:

There are a few steps to follow when you add or subtract rational expressions with unlike denominators.

To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.

Write each expression using the LCD. Make sure each term has the LCD as its denominator.

Add or subtract the numerators.

Simplify as needed.

The solution for the given inequality is, (-∞, -5] ∪ [-1, ∞).

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Consider, the given inequality

|x + 3| - 2 ≥ 0

⇒ |x + 3| ≥ 2

Using: If |u| ≥ a,  a > 0 then u ≤ -a, u ≥ a

⇒  x + 3 ≤ -2,    x + 3 ≥ 2

x ≤ -5,      x ≥ -1

Hence, the solution for the given inequality is, (-∞, -5] ∪ [-1, ∞).

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