Identify the value of y
(5y-6) = (2y×9)-32

The value of cos(x) that supports Steve's claim is 1/√10

Given the following trigonometry identity

tan(x) = 3

According to the theorem;

tan x = opposite/adjacent = 3/1

Opposite = 3

Adjacent = 1

Determine the hypotenuse

hyp = √3² + 1²
hyp = √10

Since cos(x) = adj/hyp

cos(x) = 1/√10

Hence the value of cos(x) that supports Steve's claim is 1/√10

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The function p(t) for the number of visitors over 1-year is an exponential function

The function is given as:

p(t) = 119 + (t-83)e^0.02t

Start by plotting the graph of the function p(t).

From the graph (see attachment), we have the parameters to be:

Hence, the function has no critical point

Read mroe about critical points at:

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Answer:

approximately V =  201 m^{3}

Step-by-step explanation:

Volume of a right circular is π[tex]r^{2} h[/tex]

R = radius of 4m

H = height of 4m

pi = approximatly 3.14

[tex]V = 3.14*4^{2}*4[/tex]

[tex]V = 3.14*16*4[/tex]

[tex]V = 3.14*64[/tex]

approximately [tex]V = 201 m^{3}[/tex]

Hope this helps :)

(If this was not the corrrect answer please give me more information)

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

Answer:

a) k(x) = 5x - 2

x = 5(y) - 2

5y = x + 2

y = (x+2)/5

k-¹(x) = (x+2)/5

b) h(x) = (x+10)/(x-3)

x = (y+10)/(y-3)

x(y-3) = y + 10

xy -3x = y + 10

xy - y = 3x + 10

y(x-1) = 3x + 10

y = (3x + 10)/(x-1)

h-¹(x) = (3x+10)/(x-1)

Answer:

Example Question: f(x) = 2x^2 + 2x - 1

If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)

Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)

To find the vertex, simply imput the axis of symmetry into the given equation.

And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

The  [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]  equation can be used to calculate the surface area of the triangular prism.

It is given that the triangular prism net showing in the figure with dimensions.

It is required to find which equation can be used to find the surface area of the triangular prism net.

It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.

We know the area of a rectangle = length × width

Area of the top rectangle = 13×10

Area of the middle rectangle = 12×10

Area of bottom rectangle=  5×10

The formula for finding the area of a triangle:

[tex]\rm A=\frac{1}{2} \times bh[/tex]

Area of right triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]

Area of left triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]

The surface area = Area of top+ Area of middle+ Area of bottom+ Area of    

                                a right triangle+ Area of the left triangle  

[tex]=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]

Thus, the [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]  equation can be used to calculate the surface area of the triangular prism.

Learn more about the surface area here:

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Answer:

7/6561

Step-by-step explanation:

nth term = a1 r^(n-1) so

9th term =  7* (1/3)^(9-1)

= 7*(1/3)^8

= 7/6561

Answer:

y>-2

Step-by-step explanation:

her mistake was she did -22-6= -28 but the correct solution is -22+6= -16

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

Answer:

  54 cubic inches

Step-by-step explanation:

Just as the area of a triangle is half the area of a rectangle with the same dimensions, the volume of a triangular prism is half the volume of a rectangular prism with the same dimensions:

  V = 1/2(LWH)

  V = (1/2)(9 in)(4 in)(3 in) = 54 in³

The volume of Phil's block of cheese is 54 in³.

Answer:

5.6

Step-by-step explanation:

4/5 = .8

so ? ÷ 7 = .8|
7 x .8 = 5.6
x= 5.6

x = 5.6

hope it helps...!!!!

Answer:

Step-by-step explanation:

Assuming you can use any digit from 0-9

You can do 5% of 260 = 13 . All of which are different digits and not the same

This is true because 260 x .05 = 13

Answer:

52 cents :)

Step-by-step explanation:

Nickel: 5 cents

Penny: 1 cent

5 x 8 = 40

12 x 1 = 12

40 + 12 = 52

Have an amazing day!!!

Please rate and mark brainliest!!

Answer:

2/9

Step-by-step explanation:

Answer:

y-9=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

612: 2*2* 3 * 3 * 17

1314: 2* 3 * 3 * 73

The highest common factor is 2 * 3 * 3 = 18

17 and 73 are both prime, so the factoring stops there.

Answer:

Step-by-step explanation:

Answer:

C = 55h + 95

Step-by-step explanation:

That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.

For example, if he worked for 2 hours then

C = 55(2) + 95

C = 110 + 95

C = $205

If you found my answer helpful, please rate branliest. It's free to do so and would help me out a ton!

Answer:

118

Step-by-step explanation:

62+x=180

x=180-62

x=118

Answer:

X=6, Y=-1

Solved using substitution

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

[tex]3y - 2( - 6y) = - 15 [/tex]

Simplify both sides

[tex]3y + 12y = - 15[/tex]

Combine Like terms

[tex]15y = - 15[/tex]

Divide both sides by 15

[tex]y = - 1[/tex]

Answer:

X=-1

Y=-8

Step-by-step explanation:

8x+y=-16

3x-y=5

11x=-11

x=-1

8x+y=-16

8(-1)+y=-16

-8+y=-16

y=-16+8

y=-8

3x-y=5

3(-1)-y=5

-3-y=5

-y=5+3

-y=8

y=-8

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

8x + 11 - 11 = 35 - 11

8x = 24

x = 24/8

x = 3

check

8 * 3 + 11 = 24 + 11 = 35

Answer:

-4 and -16

Step-by-step explanation:

Let x = first number

Let y = second number

Given:

⇒ xy = 64

Given:

⇒ x + y = -20

Rewrite  x + y = -20  to make x the subject:

⇒ x = -20 - y

Substitute into xy = 64 and solve for y:

⇒ (-20 - y)y = 64

⇒ -20y - y² = 64

⇒ y² + 20y + 64 = 0

⇒ (y + 4)(y + 16) = 0

⇒ y = -4, y = -16

As x + y = -20

If y = -4 then x = -16

If y = -16 then x = -4

Therefore, the two numbers are -4 and -16

Let they be a and b

So

[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]

[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]

[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]

From both equations

Answer:

your answer is 1,-2

Step-by-step explanation:

Answer:

D. 2 (1/3) hours

Step-by-step explanation:

'Of' means multiplication, so we are going to multiply

3 (1/2) x (2/3) = 2 (1/3)

or

3.5 x 0.66 = 2.333

I hope this helps!