sin^4 x+2sin^2 x-3=0
Solve by factoring on [0,2pi]

We will see that the vertex of the quadratic equation is at (1, 14)

For a general quadratic:

[tex]y = a*x^2 + b*x + c[/tex]

The x-component of the vertex is at:

[tex]x = -b/2a[/tex]

In this case, we have:

[tex]y = -2x^2 + 4x + 12[/tex]

Then the vertex is at:

[tex]x = -4/(2*-2) = 1[/tex]

To get the y-component of the vertex, we need to evaluate in x = 1.

[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]

Then we conclude that the vertex is at (1, 14), so the correct option is d.

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Answer:

I think it is (2,3.5)

Step-by-step explanation:

See im ova here trying my best so if it's wrong don't me coming foe me

Answer:

Step-by-step explanation:

17 + 4 = 21

Answer:

B + 4 = 17+4

21 is the answer

Answer:

I. 56 cubic feet of water.

II. 5 feet

Step-by-step explanation:

Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,

Circumference = 2πr

25.12 = 2×π×r

r = 3.9979ft ≈ 4ft

Now, the volume of the tub will be,

Volume = πr²h = π×(4²)×3.5 = 175.929 ft³

Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is

Volume of water = 175 × 28.3168 = 4,981.75 litres

Hence, the amount of water that the tub can hold is 4,981.75 litres.

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Answer:

the surface area of the regular pyramid is 169.19

Answer:

Slope-Intercept: C,H,F,I,P,T

Standard: B,D,K,N,O,Q,S

Point-Slope: A,E,G,F,L,M,R

Step-by-step explanation:

Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.

All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.

The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.

Answer:

A. (-2√2, -2√2)

Step-by-step explanation:

Just use conversion formulas

hope this helps:)

Answer:

x-10+2x+5+35=180

3x-5+35=180

3x=180-50

x=150÷3

x=50

Therefore option D is write answer

Answer:

D   (x = 50°)

Step-by-step explanation:

Angles in a triangle add up to 180°.

             ∴ (2x + 5)° + (x - 10)° + 35° = 180°

                    2x + x + 5 - 10 + 35 = 180

                              3x + 30 = 180

                                  3x = 150

                                    x = 50°

Hope this helps!

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:D

Step-by-step explanation:

i got it on edmentumn

Answer:

w=8

Hope this helps!!

Answer:

4/10 or 40% chance he picks a spade and 3/10 or 30% he picks a club so in total he would have a 7/10 chance or 70% chance of getting spade or club

Step-by-step explanation:

The probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

To find the probability that Wes will pick a spade or a club from Alex's cards, we need to determine the total number of spades and clubs in Alex's hand and divide it by the total number of cards.

Total number of spades = 3

Total number of clubs = 4

Total number of cards = 2 (diamonds) + 3 (spades) + 4 (clubs) + 1 (heart) = 10

Therefore, the probability that Wes will pick a spade or a club is:

(Picking spade or club) = (Total number of spades + Total number of clubs) / Total number of cards

= (3 + 4) / 10

= 7 / 10

= 0.7

So, the probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

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Answer:

g(a) = a² + a

Step-by-step explanation:

g(x) = x² + x

put x = a

:- g(a) = a² + a

[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]

The chance of finding a defective headset is 2.5%

The given parameters are:

Total = 280

No defects = 273

The number of defective headsets is:

Defective = 280 - 273

Evaluate

Defective = 7

The probability that a defective headset is selected is:

P(Defective) = 7/280

Express as percentage

P(Defective) = 2.5%

Hence, the chance of finding a defective headset is 2.5%

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Answer:

D

Step-by-step explanation:

everything that should happen at x+4 happens now at x. that is what that means.

so, the graph shifts 4 units to the left.

The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,

μ - 2σ = 29

μ + 3σ = 49

By subtracting the first equation from the second, then we will get,

μ + 3σ - μ + 2σ = 49-29

5σ = 20

σ = 4

Now, substitute the value of σ in the equation,

μ - 2σ = 29

μ - 2(4) = 29

μ = 29 + 8

μ = 37

Hence, the mean of this test is 37.

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Answer:

To mark or take note of.

Step-by-step explanation:

The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.

A three dimensional figure is a polygon with length, width and height. Examples are cone, cylinder, prism, pyramid and so on.

The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.

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Answer:

the answer for this question is 3 in 2.5 inches or 5 in 2.5 inches

Step-by-step explanation:

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

Let the length of the room = L = 12m

width of the room = b = 8m

Height of the room = h = 4m

• Area of the four walls of the room = Perimeter of the base x Height of the room.

[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]

[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]

Hence , the total cost of white washing four walls of the room ;-

Cost of white washing the ceiling.

So , the total cost of white washing ;

Hope this helps you :)

#Carry on learning# :) ..

before i continue my keyboard is malfunctioning so bear with me

answer:

25/68

Step-by-step explanation:

total number-750

males-440

females-750-440=310

those with Cell -345

females with cell -205

males-345-205=140

male with cell -140/345

=25/68

Answer:

25/68

Step-by-step explanation:

total number=750

Male=440

Female=750-440

=310

People with cell phone= 345

Female with cell phone=205

Male=345-205

=140

Male with cell phone=140/345

=25/68

Answer:

x = 1 , x = 9

Step-by-step explanation:

from the table

f(x) = g(x) = 14 when x = 1 , and

f(x) = g(x) = 6 when x = 9

then the solutions to f(x) = g(x) are

x = 1 and x = 9

Answer:  Janet's overtime pay is: " $ 17. 19 per hour ."
  →  and specifically:  " $ 77.36 " ;
        →  [for the 4.5 hours of overtime pay worked Within the total 44.5 hours Janet worked within the particular Monday to Friday workweek as given within this particular Brainly question/].
__________

Step-by-step explanation:
__________
Note:  Let us assume that up to and including "40 hours within a workweek" is paid as a "base rate of regular pay"—and that any hours worked over "40 hours" count as "overtime hours.."

Furthermore: Let us assume that "overtime pay" is paid at the rate of "time and a half".  This means that any and all hours worked over 40 hours are "overtime hours"—and that these "overtime hours" are paid at the rate at "1.5 times" the rate of the regular hourly rate.
__________

Note: A secretary is typically a job that is paid by the "hour"; as opposed to certain management positions (which are paid by "salary").
→ So, we shall assume that the secretary, "Janet Henderson", is a "hourly worker"—who is "non-exempt" from being paid "overtime."
→ So, first, given:  Janet Henderson worked Monday through Friday for a total of "44.5 hours."
Note: This amount: "44.5 hours" ; is over "40 hours."
            {i.e. " [44.5 hours]  >  [40 hours] ".}.

Note:  Any and all hours Janet earned in excess of 40 hours are considered : "overtime hours."
Now:  Let us calculate the number of "overtime hours":
   → We subtract: "40"; from the actual amount of hours Janet worked [which is "44.5 hours"] ;
    →   " (44.5 − 40) hours " ;
          =  " 4.5 hours " (of overtime worked).
Now, we are given that Janet's regular pay is:  " $ 11.46 per hour."
→  To solve: Find the value of:   " (1.5) * ($ 11.46) " ;
Method 1) Use a calculator:  to get:  " 17. 19 " .
    → The answer is:  " $ 17.19 per hour."

Method 2)
    →  " 11.46 + [(1/2)* 11.46] " ;

             =  "11.46 + (11.46 /2)" ;  
Note: Let us start by calculating:  "(11.46 / 2)" ; that is:  "(11.46 ÷ 2)" .
Method A) Note:  " 11.46 ÷ 2 = 5.73 " ; → {Using a calculator.}.
Method B)  
Using long division; to get:  "5.73 " ; as follows:

            5.73
      2⟌ 11.46

        - 10    
             1.46
        -    1.4  
             0.06
        -    0.06
             0.00 .

Now:  We can write the expression:  
 →   " 11.46 + [(1/2)* 11.46] " ;  as:
 →     " 11.46 + 5.73 " ; & then calculate (add the values);

to get" 11.46 + 5.73 = " 17. 19 "

So;  Janet's overtime pay is $17.19 per hour.

Other:
To find the specific, exact dollar amount of overtime pay earned for the "4.5 hours" of overtime worked in the particular Monday to Friday workweek as given within the actual question:

→ We multiply this amount—"17.19 dollars"— by the number of overtime hours that Janet worked—"4.5 hours"—as follows:
→  "   [tex]\frac{17.19 dollars}{hr} *\frac{4.5 hr}{1}[/tex]  " ;  
→  The units of "hr" ["hour(s)"] cancel out to: "1 ";  
          →  {since:   ["hr/ hr " = 1 .] } ;
And we have:  
→ " (17.19 dollars * 4.5)  = _?  dollars " ;  Solve for: {the "_?_"  value.}:
Using a caculator:  We get:
   →  77.355 dollars;  ⇒  write as:  $77.355 ;  round to:  " $ 77.36 " .
________
Hope this is helpful to you!
      Best wishes to you in your academic pursuits!
________

Answer:

A. (0,-3) the other possible anser is (2,1) but that's not an option

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

              The quotient of b and 3 is greater than or equal to 19.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

           ✥First, the word "quotient" indicates that we divide.

Here we have "the quotient of b and 3", so we divide b by 3:-

[tex]\hookrightarrow[/tex][tex]\sf{b\div3}[/tex]

Now, this expression is greater than or equal to 19:-

[tex]\sf{b\div3\geq 19}[/tex]

How to Solve for b

✳︎ Multiply by 3 on both sides:-

[tex]\sf{b\geq 19\times3}[/tex]

On simplification,

[tex]\sf{b\geq 57}[/tex]

So the values of b greater than or equal to 57 will make this inequality true.

Let's solve another one.

✳︎ A number y increased by 5 is at least -21.

First, "increased" means we add 5.

Since y is increased by 5, we add 5 to y:-

[tex]y+5[/tex]

Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to  -21, which looks as follows:-

[tex]\sf{y+5 \geq -21}[/tex]

[tex]\rule{300}{1}[/tex]

[Solving for y]

Subtract 5 on both sides:-

[tex]\sf{y \geq -21-5}[/tex]

On simplification,

[tex]\sf{y \geq -26}[/tex]

So the values of y greater than or equal to  -26 will make this inequality true.

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

Answer:

-22

Step-by-step explanation:

It would be negative -22

6*(-4)+2

-24+2

-22

Hope this helps :)

Answer -

[tex]f(x) = 6x + 2 \\ \\ \implies \: f( - 4) = 6( - 4) + 2 \\ \\ \implies \: f( - 4) = - 24 + 2 \\ \\ \implies \: f(x) = - 22[/tex]

hope helpful ~

Answer:

Can you please tell me what you need done?

Step-by-step explanation:

I would love to help you but it seems you haven't put any information.