..............................................................................

Answer:

only one (1) solution

Step-by-step explanation:

[tex]6 = \frac{x}{4} + 2 \\ \\ 6 - 2 = \frac{x}{4} \\ \\ \frac{x}{4} = 4 \\ \\ x = 4 \times 4 \\ \\ x = 16.[/tex]

The above equation has one solution .

Answer:

235 x 4035 = 948,225

Step-by-step explanation:

Trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As the value of  sin(x) is given to us, therefore, we will find the value of x firstly,

[tex]\rm Sin(x)=0.3\\\\x = Sin^{-1}\ 0.3\\\\x = 17.4576[/tex]

Therefore, the value of cos(x) can be written as,

[tex]\rm Cos(x)\\\\= Cos(17.4576)\\\\= 0.9539\approx 0.954[/tex]

We can also use the trigonometric property, therefore,

[tex]\rm (Sin\ x)^2 +(Cos\ x)^2=1\\\\0.3^2 + (Cos\ x)^2 = 1\\\\Cos(x) = \sqrt{1-0.3^2}\\\\Cos(x)=0.954[/tex]

Hence, the value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

Learn more about Trigonometric functions:

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Answer: y = x - 4

Step-by-step explanation:

Slope intercept form is y = mx + b

    Given:

-2x = -8 -2x

    Add 2x and 2y to both sides of the equation:

2y = 2x - 8

    Divide both sides of the equation by 2:

y = x - 4

Answer:

A

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{7}{20}[/tex] or 0.35

Step-by-step explanation:

[tex]\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\[/tex]

Now simplify.

[tex]\frac{21}{60}[/tex] = [tex]\frac{7}{20}[/tex]

The fraction of the fence completed in one hour at a rate of  [tex]\frac{2}{5}[/tex] of the

fence in  [tex]\frac{3}{4}[/tex] hours is  [tex]\frac{8}{15}[/tex].

The fraction of the fence completed in [tex]\mathbf{\frac{3}{4}}[/tex] of an hour = [tex]\frac{2}{5}[/tex]

Required:

The fraction of the fence the student completes per hour;

Solution;

The time [tex]\mathbf{\frac{2}{5}}[/tex] of the fence is completed =  [tex]\frac{3}{4}[/tex] of an hour

Therefore;

[tex]The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}} = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour} = \dfrac{8}{15} \ per \ hour[/tex]

The fraction of the fence completed per hour = [tex]\underline{\frac{8}{15}}[/tex]

Learn more about fractions here:

https://brainly.com/question/21339546

Answer:

first find the slope

finding slope

y2-y1/x2-x1

-5-4/5-3

-9/2

then the slope is -9/2 or -4.5

then y=mx+b

y=-4.5x+b

then replace y=-4.5x+b

replace y by 4 and x by 3

4=-4.5times 3 +b

4=-13.5+b

b=17.5

then the equation is y=4.5x+17.5

if you have any question ask me thank you

Answer:

The degree of overlap between the two distributions is moderate.Step-by-step explanation:A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots’ distributions is true?The true statement is - option A - The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

mark me brainliest!!

Answer: 10 units

Step-by-step explanation:

     We will use the distance formula and solve. Let (3, 0) be point 1 and (-3, -8) be point 2.

d = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

d = [tex]\sqrt{(-3-3)^{2} +(-8-0)^{2} }[/tex]

d = [tex]\sqrt{(-6)^{2} +(-8)^{2} }[/tex]

d = [tex]\sqrt{36 +64}[/tex]

d = [tex]\sqrt{100}[/tex]

d = 10

            The distance between the two points given is 10 units.

Rachel earned $6.00 a day for eight weeks for her summer job. She worked six days a week. How many dollars did she earn?

Rachel earned 288 dollars.

#brainlyeveryday

Answer:

112-40=72in............

......

The maximum possible salary for each player is calculated as $27,272.72

Data;

The maximum possible salary for a single player in each team can be calculated when we divide the total maximum allowed salary for the team by the total numbers of players. This would put all the players on an even pay or equal pay.

Let the maximum possible allowed salary be represented by x

[tex]x = \frac{60000}{22} \\x= 27,272.72[/tex]

The maximum possible salary for each player is calculated as $27,272.72

Learn more on ratios or proportions here;

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x = 5, AB = 14, BC = 8

=====================================================

Explanation:

The triangles are similar, which can be proven through the angle angle theorem.

The similar triangles allow us to form the proportion below.

EB/DB = AB/BC

7/4 = (2x+4)/(x+3)

7(x+3) = 4(2x+4)

7x+21 = 8x+16

21-16 = 8x-7x

5 = x

x = 5 is part of the answer

Then we can use that x value to find the following

AB = 2x+4 = 2*5+4 = 14 is the length of AB

BC = x+3 = 5+3 = 8 is the length of BC

Answer:

x = 15units

Solving steps:

QS = 16 + 9

QS = 25

Cos(QSR) = RS/QS

Cos(QSR) = x/25

Cos(RST) = ST/RS

[tex] \frac{x}{25} = \frac{9}{x} [/tex]

=> [tex]x {}^{2} = 225[/tex]

=> [tex]x = \sqrt{225} [/tex]

=> x = 15

Answer:

2(54x-36)

Multiply each by two since you can't subtract them

108x-72 is answer most likely, if not, this is answer <<<

x-1.5 which shouldn't be the answer since above is the answer

Step-by-step explanation:

Answer: y=5x-11

Step-by-step explanation:

Answer:

part a: is c

part b: $33.25

Step-by-step explanation:

PART A: I did 6x68.45=410.70

8x39.71=317.68

3x52.25=156.75

410.7+317.68+156.75=885.13

so the closest thing to it is c

PART B: i did

5x2.89=14.45

10x9.91=79.10

48x0.36=17.28

14.45+79.10+17.28=110.83

144.08-110.83=33.25

so the case of air fresheners was $33.25

Answer:

Step-by-step explanation:

I guess it is 65 because the table said so

Answer:

Step-by-step explanation:

x+2) x^3+0x^2+0x-4(x^2-2x+4

       x^3+2x^2

      -      -

_______________

             -2x^2+0x

             -2x^2-4x

             +       +

            ____________

                         4x-4

                         4x+8

                        -     -

                       ______

                              -12

                           _____

[tex]\frac{x^3-4}{x+2} =x^2-2x+4+\frac{-12}{x+2}[/tex]

Answer: I Think It Is Greater Than Or Equal To -9

Step-by-step explanation: The given function is:

f(x)x^2+2x-8

We complete the square to write this function in the form:

f(x)=a(x-h)^2+k

We add and subtract the square of half the coefficient of x.

f(x)=x^2+2x+1^2-1^2-8

f(x)=(x=1)^2-9

The vertex of this function is (h,k) which is (-1,-9)

The equation of axis of symmetry is x=h

But h=-1, hence the axis of symmetry isx=-1

To find the x-intercepts, we put f(x)=0

(x+1)^2-9=0

(x+1)^2=9

x+1=the square root of 9

x=-4, 2

The x-intercepts are:(

-4,0) and (2,0)

The given function is a polynomial function, the domain is all real numbers

The function has a minimum value of y=-9.

Therefore the range is y|y is greater that or less than -9

Answer:

the correct answer is 1 bird

Step-by-step explanation:

hope this helps

have an awesome day -TJ

may i please have brainliest

Answer:

  (d)  428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

  (1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

  ≈ 428.82×10^6 lb

  = 428,820,000 lb . . . of garbage

Multiply 75 by the number of surfboards sold to get 75x add that to what he makes giving lessons:

250 + 75x

He wants to earn at least 500 so the equation has to be greater than or equal to 500:

Answer: 250 + 75x > equal to 500

Answer: D

Step-by-step explanation:

I also took the Post Test/Unit Test

Step-by-step explanation:

A. First, convert 30 minutes to a hour.

[tex] \frac{30 \: mins}{1} \times \frac{1 \: hour}{60 \: mins} = 0.5 \: hours[/tex]

[tex]4 + 0.5 = 4.5 \: hours[/tex]

Now, we can subsitue.

Part A: 1.

[tex]d(t) = 6 + 5.5 \cos( \frac{\pi}{6}(4.5) ) [/tex]

[tex]d(t) = 6 + 5.5 \cos( \frac{3\pi}{4} ) [/tex]

Part B:

[tex] \cos( \frac{3\pi}{4} ) = - \frac{ \sqrt{2} }{2} [/tex]

so

[tex]6 + 5.5( - \frac{ \sqrt{2} }{2} )[/tex]

which is approximately

2.11. feet.

Part C: The depth of the water is approximately 2.11 feet in 4.5 hours, or 4 hours and 30 minuties.