Please help on this

The value of the equivalent equation will be 32=3x+8

It is given in the question that

[tex]\rm Log_2(3x+8)=5[/tex]

Now from the antilog property property

[tex]\rm x=Log_by[/tex]  can be written as below

[tex]b^x=y[/tex]

So the value of  [tex]\rm Log_2(3x+8)=5[/tex]  will be

[tex]2^5=3x+8[/tex]

[tex]3x+8=32[/tex]

Thus the value of the equivalent equation will be 32=3x+8

To know more about Antilog property follow

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Answer:

I did it on edgeinuity

Step-by-step explanation:

Answer:

I guess it is 43.57 Hope it helps!!!

Hey there!

Marked price (MP) = 1100 + Cost price (CP) ----(1)

If the watch was sold at discount of 20%, profit = Rs. 400

⇒ Selling price = MP - 20% of MP = 0.8MP

Also, Selling price = CP + 400

⇒ CP + 400 = 0.8MP

Substituting from (1),

⇒ CP + 400 = 0.8(1100 + CP)

⇒ CP + 400 = 880 + 0.8CP

⇒ 0.2CP = 480

⇒ CP = Rs. 2400

∴ To earn a profit of 30%, Selling price = 2400 + 30% of 2400 = 2400 + 720 = Rs. 3120

By using a right triangle as a model, we will see that height of the roof is 9.38 ft.

The slant height is equivalent to the hypotenuse of a right triangle, so we know the length of the base and the hypotenuse of a right triangle. The cathetus will be half of 18ft

We need to find the other cathetus, so we can use the Pythagorean theorem, if X is the other cathetus we will get:

X^2 + (9ft)^2 = (13 ft)^2

X = √( (13 ft)^2 - (9 ft)^2) = 9.38ft

So the height of the roof is 9.38 ft.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

1. All 4 sides are the same length

Area = 11 x 11 = 121 square ft.

2. area = 9 x 3 = 27 square in.

      A             B

D              C

vectors

AB = DC

AB (-2-7 ; 3-1) => AB (-9 ; 2)

DC (1-x : -7-y)

1 - x = -9 => x = 10

-7-y = 2 => y = -9

D(10 ; -9)

Answer:

D = (10, -9)

Step-by-step explanation:

If ABCD is a parallelogram, then AB = DC and BC = AD

Therefore,

[tex]\sf x_A-x_B=x_D-x_C[/tex]

[tex]\sf \implies 7-(-2)=x_D-1[/tex]

[tex]\sf \implies x_D=10[/tex]

[tex]\sf y_A-y_B=y_D-y_C[/tex]

[tex]\sf \implies 1-3=y_D-(-7)[/tex]

[tex]\sf \implies y_D=-9[/tex]

Therefore, D = (10, -9)

answer:

jesus know the answer

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Net profit is the amount of a business earn after deducting all the expenditure over it.

Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.

He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.

Using the regression graph, the quadratic equation we get for this data as,

[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]

For the 6 year value,

[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]

This value is much near to the option b which is $66,933.60.

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Learn more about the Net profit here;

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Answer:

11

Step-by-step explanation:

5x + -4 = 2x + 5

-2x  +4   -2x  +4

3x = 9

x = 3

5(x) - 4 = ML

5(3) - 4 = ML

15 - 4 = ML

11 = ML

Answer:

22.50

Step-by-step explanation:

25% of 30 is 7.50

30-7.50 is 22.50

Answer: A: $22.50

Step-by-step explanation:

The original price of the game, $30, is 100%.

If the game if 25% off, then it will be, (100 - 25), 75% of its original price.

All we need to do is 75% x 30:

0.75 x 30 = 7.5 x 3 = $22.50

So your answer is A: $22.50

Answer:

the correct answer is x = 3

Step-by-step explanation:

you solve this by moving all the terms that dont contain x to the right side and solve the equation.

hope this helps

have an awesome day -TJ

pls mark brainliest if this helps you :)

Answer:

3x-8

Step-by-step explanation:

Use synthetic division:

5 | 3 -23 40

____ 15 -40_

    3  -8 | 0

Hence, another factor of the polynomial is 3x-8

The minimum possible area of each square cardboard piece which is used to produce circular drink coasters is 72.25 in².

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

A company produces circular drink coasters. the equation which represents the size of a coaster is,

[tex]x^2+ y^2 = 18.0625[/tex]

The units are in the inches. This equation can be written as,

[tex]x^2+ y^2 = \dfrac{289}{16}\\x^2+ y^2 =\left( \dfrac{17}{4}\right)^2[/tex]

Compare it with the equation of the circle, we get,

[tex]h=0\\k=0\\r=\dfrac{17}{4}\rm\; in[/tex]

The radius of the circular coaster is 17/4. The diameter of it is,

[tex]d=2\times\dfrac{17}{4}\\d=\dfrac{17}{2}\rm \; in[/tex]

Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.

[tex]a=d=\dfrac{17}{2}\rm\; in[/tex]

The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,

[tex]A=a^2\\A=\left(\dfrac{17}{2}\right)^2\\A=72.25\rm\; in^2[/tex]

Thus, the minimum possible area of each square cardboard piece which is used to produce circular drink coasters is 72.25 in².

Learn more about the equation of circle here;

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Hey there!

-6×2×9y = 7y-4+4-690

=> Let's solve your equation step-by-step.

(((−6)(2))(9))(y)=7y−4+4−690

Step 1: Simplify both sides of the equation.

(((−6)(2))(9))(y)=7y−4+4−690

−108y=7y+−4+4+−690

−108y=(7y)+(−4+4+−690)(Combine Like Terms)

−108y=7y+−690

−108y=7y−690

Step 2: Subtract 7y from both sides.

−108y−7y=7y−690−7y

−115y=−690

Step 3: Divide both sides by -115.

−115y/−115 = −690/−115

y=6

Answer:

y=6

Therefore, the value of y = 6

Answer:

y=6

Step-by-step explanation:

(((−6)(2))(9))(y)=7y−4+4−690

−108y=7y+−4+4+−690

−108y=(7y)+(−4+4+−690)

−108y=7y+−690

−108y=7y−690

Subtract 7y from both sides.

−108y−7y=7y−690−7y

−115y=−690

Step 3: Divide both sides by -115.

−115y      -690

−115         -115

y=6

I hope this helped!! If so please mark brainliest and rate my answer <33

Answer:

[tex]y=1.14x+0.420[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-3,-3) = (x1, y1)
Point B = (4, 5) = (x2, y2)

To write the points in slope intercept form we must first calculate the slope using rise over run. Once we have the slope, we substitute the values into the formula for slope intercept which is y = mx + b and then solve for b to have our answer.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5--3}{4--3} =\frac{8}{7}[/tex]
[tex]8\div7=1.14[/tex]
[tex]m=1.14[/tex]

Now that we have the slope substitute the values:
[tex]y=mx+b[/tex]
[tex]y=-3[/tex]
[tex]m=1.14[/tex]
[tex]x=-3[/tex]
[tex]-3=1.14(-3)+b[/tex]
[tex]1.14\times-3=-3.42[/tex]
[tex]-3=-3.42+b[/tex]
[tex]-3.42+3.42=0[/tex]
[tex]-3+3.42=0.42[/tex]
[tex]0.42=b[/tex]
[tex]b=0.42[/tex]
[tex]y=1.14x+0.420[/tex]

Your answer is "y = 1.14x + 0.420."

Hope this helps.

3x-12y=6

Lets convert to slope intercept form

Slopes are equal so lines are parallel

Hence no solutions

Answer:

14.84

Step-by-step explanation:

20*(6%+1)*(1-30%)

20*(0.06+1)*1-0.3)

20*1.06*0.7

14.84

Step-by-step explanation:

I think it will help you.

Look at the example

Let's use mid-term splitation

[tex]\\ \rm\rightarrowtail 6x^2-5x-6[/tex]

[tex]\\ \rm\rightarrowtail 6x^2+4x-9x-6[/tex]

[tex]\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)[/tex]

[tex]\\ \rm\rightarrowtail (2x-3)(3x+2)[/tex]

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:

https://brainly.com/question/1196953

Answer:

  (b)  24

Step-by-step explanation:

The given variable definitions and the given relationships let us write these statements:

  LH males = 4 × LH females = 4x

  RH females = 3 × RH males = 3y

  LH males + RH males = 204 = 4x +y

  RH females + LH females = 348 = 3y +x

Your favorite method of solving equations of this sort can tell you ...

  (x, y) = (24, 108)

There are 24 left-handed females.

__

Additional comment

Other numbers involved here are ...

  y = 108 . . . . right-handed males

  204-108 = 96 . . . . left-handed males (=4×24)

  348-24 = 324 . . . . right-handed females (=3×108)

__

If you want to solve the equations by hand, you can use substitution for y to get an equation in x:

  3(204 -4x) +x = 348   ⇒   -11x = -264   ⇒   x = 24

Answer:

Average speed = 40 mph.

Step-by-step explanation:

Answer:

-1 7/10

Step-by-step explanation:

Hope that helps!!!

Answer:

$28.80

Step-by-step explanation:

32 x 0.1 = 3.2
32 - 3.2 =28.8

Hope this helps :)

Answer:

$28.8

Step-by-step explanation:

10% of 32 is 3.2

32 - 3.2 = 28.8

Answer:

[tex]\displaystyle 3286[/tex]

Explanation:

Just multiply 62 and 53 to get 3286.

I am joyous to assist you at any time.

Answer: Odd

Step-by-step explanation:

Odd functions are functions where the exponent of the leading term is odd. In this case, the exponent of 3 is odd, so the function is odd.

Answer:

No, because triangle XYZ is not a right triangle.

Step-by-step explanation:

SOHCAHTOA (sin, cos, tan) can only work on right triangles. If a triangle is not a right triangle, you cannot use sin cos tan on it. This triangle is not a right triangle, so this is why you cannot fin the tangent ratio.

Hey there!

Here we have a fraction

2/6.

The 2 is the numerator, and 6 is the denominator.

How to remember where the numerator and the denominator is?

Well, please remember the following:

The Denominator is Down

Hence, 6 is the denominator of this fraction.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

Radioactive in half life is 51gram

Step-by-step explanation:

80grams:12years

X :7.6years

12x÷x=x

7.6×80÷12=51gram

Answer:

239 grams.

Step-by-step explanation:

Half life t(1/2) = ln 2 / k

So 7.6 = ln 2 / k

k = ln 2 / 7.6 = 0 0901204

N = No e^-kt

So after 12 years

80 = No / e^(-0.0901204*12)

No = 80 / e^(-0.0901204*12)

= 239.

Answer:

x > -3

[tex]\sf (-3, \infty)[/tex]

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing:  always increasing.  
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola.  If the leading term is positive, the parabola opens upwards.  The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

Vertex

Standard form of quadratic equation:  [tex]\sf y=ax^2+bx+c[/tex]

[tex]\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}[/tex]

Given function:

[tex]\sf y=x^2+6x[/tex]

Therefore, x-value of function's vertex:

[tex]\sf \implies x= -\dfrac{6}{2}=-3[/tex]

Final Solution

The function is increasing when x > -3

[tex]\sf (-3, \infty)[/tex]