PLS HELP + WORKING OUT !
Two thirds of the length of a sheet of plywood is 70mm. Calculate the total length.

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

[tex]\implies |5x + 30| = 10x [/tex]

We can write it as ,

[tex]\implies 5x + 30 = \pm 10x [/tex]

On simplyfing further,

[tex]\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x [/tex]

On solving the above equation , we will get ,

[tex]\implies \boxed{ x = 6,-2}[/tex]

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

Option A is correct .

Answer:

60

Step-by-step explanation:

180-100 = 80

80-20 = 60

Answer:

3rd option

Step-by-step explanation:

f(x) = 0 are the points on the x- axis where the graph crosses, the zeros

The graph crosses the x- axis at - 2 , 1 and 3

Answer:

Table 4 is the answer. Step-by-step explanation: Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. So, the ratio of peanuts to raisins is 2 : 3.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

GOT IT RIGHT edge 2021

Answer:

B) 1.4

Step-by-step explanation:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

The maximum length of the seesaw is 1.4 meters

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the length of the seesaw, hence using trigonometric ratio:

sin(45) = 1 / h

h = 1.4 meters

The maximum length of the seesaw is 1.4 meters

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

2 fewer than the quotient of a and 5

(x/5)-2

Answer:

[tex]f(3)=-f(9)[/tex]

Step-by-step explanation:

We know that f(6) = 0 from (i), so let's do x = 3.

[tex]f(3+3)=f(3)+f(9)[/tex]

[tex]0=f(3)+f(9)[/tex]

Therefore,

[tex]f(3)=-f(9)[/tex]

I hope it helps you!

Answer:

There might be 31 or 32

Step-by-step explanation:

I would have a better answer if i knew the probability of the blue marbles being chosen srry.

Answer:

y = 7/5x + 7

Step-by-step explanation:

Answer:

x-3y=-14

Step-by-step explanation:

Slope = (5-6)/(1-4) = -1/-3 = 1/3

y-intercept is,

b=6-1/3×4 = 14/3

so the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Answered by GAUTHMATH

Standard form the equation of the line passing through the given points is x-3y=-14

Statement of equality between two expressions consisting of variables and/or numbers

Given points are: G(4, 6), H(1, 5)

Now,

Slope = (5-6)/(1-4)

= -1/-3

= 1/3

and y-intercept is,

b=6-1/3×4

b = 14/3

Hence, the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Answer:

$49 and $65 are the choices you should check. These prices are greater than $45.

Step-by-step explanation:

It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.

Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.

Step 1: Distribute

5x + 10 - 3x > 7 - 4x + 12

Step 2: Combine like terms

2x + 10 > -4x + 19

Step 3: Move all variable terms to one side, and all constants to the other

6x + 10 > 19

6x > 9

Step 4: Divide

x > 9 / 6

x > 1.5

Hope this helps!

Answer:

x ≈ 28.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{3.9}{8.1}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{3.9}{8.1}[/tex] ) ≈ 28.8° ( to the nearest tenth )

Answer: -16/3

Step-by-step explanation:

[tex]3(x - 2) + 4x = 10(x + 1)\\3x - 2(3) + 4x = 10x +1(10)\\3x - 6 + 4x = 10x + 10\\7x - 6 = 10x + 10\\7x - 10x = 10 + 6\\-3x = 16\\x = \frac{16}{-3} =-\frac{16}{3}[/tex]

Answer:

-16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Step 1 distribute the 3 to the x and -2

Outcome: 3x - 6 + 4x = 10(x + 1)

Step 2 distribute the 10 to the x and 1

Outcome: 3x - 6 + 4x = 10x + 10

Step 3 combine like terms

Outcome: 7x - 6 = 10x + 10

Step 4 add 6 to both sides

Outcome: 7x = 10x + 16

Step 5 subtract 10x from both sides

Outcome: -3x = 16

Step 6 divide both sides by -3

Outcome: x = -16/3

Answer:

m∠B =  

✔ 101

°

m∠C =  

✔ 79

°

m∠D =  

✔ 101

°

Step-by-step explanation:

Answer:

The answer above is right!

The correct answers are:

First box: option C. 101

Second box: option B. 79

Third box: option C. 101

Step-by-step explanation:

Just got it right on edge - Hope it helps :)

Brainliest would be greatly appreciated :D

Answer:

B) 5

Step-by-step explanation:

We are given the function:

[tex]f(x)=x(x+3)[/tex]

We are given that f(a) = 40 and a > 0 and we want to determine the value of a.

Substitute:

[tex]f(a)=40=a(a+3)[/tex]

Distribute:

[tex]a^2+3a=40[/tex]

Subtract 40 from both sides:

[tex]a^2+3a-40=0[/tex]

We can factor using 8 and -5. Hence:

[tex](a+8)(a-5)=0[/tex]

By the Zero Product Property:

[tex]a+8=0\text{ or } a-5=0[/tex]

Solve for each case:

[tex]\displaystyle a=-8\text{ or } a=5[/tex]

Since a > 0, we can eliminate the first solution. Hence:

[tex]a=5[/tex]

Our answer is B.

Answer:

In picture

Step-by-step explanation:

Brainliest please~

[tex](0,3)[/tex] and [tex](1,-2)[/tex]

Equation: (refer the image below)

Slope:

[tex]m=\frac{3+2}{0-1}[/tex]

[tex]m=-5[/tex]

Equation:

[tex]y=5x-b[/tex]

[tex]3=b[/tex]

Substitute (0,3)

Point: [tex](1,-2)[/tex]

Answer:

5abc^2/35a^3c^3

Step-by-step explanation:

To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c

=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

= 5ac^2

Now multiply the numerator and denominator by the result

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

Hence

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3

[tex]\bold{{Answer:}}[/tex]

Tropical Rain Forest

1.B

2.A

3.Di ko alam

Coral Reefs

1.C

2.E

3.I

Mangrove Swamps

1.D

2.H

3.G

pa tama nalang kung mali ah

tao lang nag kakamali rin hehe

[tex]\bold\blue{{Answer:}}[/tex]

Tropical Rain Forest

1.B

2.A

3.F

Coral Reefs

1.C

2.E

3.I

Mangrove Swamps

1.D

2.H

3.G

Taga Pilipinas ka din ba o hindi?

Answer: B) [tex]f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}[/tex]

Step-by-step explanation:

When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of

*shifting left 1 unit

*vertically compressed by 1/3

*reflect over the y-axis

So the answer is B

The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁵

On reflecting over the y axis , we get

f ( x ) = ( -x )⁵

On vertically compressing by a factor of ( 1/3 ) , we get

f ( x ) = ( 1/3 ) ( -x )⁵

And , shifting 1 unit to the left , we get

f ( x ) = ( 1/3 ) ( -x + 1 )⁵

Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ7

Answer:

6 trials

Step-by-step explanation:

The number of rats that run the maze incorrectly after t trials ;

N(t) = 100e^-0.14t

Initial number of rats = 100

45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats

N(t) = 45

N(t) = 100e^-0.14t

45 = 100e^-0.14t

45/100 = e^-0.14t

0.45 = e^-0.14t

Take the In of both sides :

In(0.45) = In(e^-0.14t)

- 0.798507 = - 0.14t

Divide both sides by -0.14

- 0.798507 / - 0.14 = - 0.14t / - 0.14

5.7036 = t

To the nearest whole number :

Number of trials, t = 6 trials

Answer:

Area=7850 cm

Step-by-step explanation:

Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm

Answer:

h(n) = - 5.3 [tex](-11)^{n-1}[/tex]

Step-by-step explanation:

This is a geometric sequence with explicit formula

h(n) = h(1) [tex](r)^{n-1}[/tex]

where h(1) is the first term and r the common ratio

Here h(1) = - 5.3 and r = - 11 , then

h(n) = - 5.3 [tex](-11)^{n-1}[/tex]

Answer:

[tex]4x-8+4y[/tex]

Step-by-step explanation:

We are given that an expression

[tex]4(x-2+y)[/tex]

We have to find an equivalent expression using distributive property .

Distributive property:

[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]

Using the property

[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]

[tex]4(x-2+y)=4x+4(-2)+4y[/tex]

[tex]4(x-2+y)=4x-8+4y[/tex]

Hence, the equivalent expression  of the given expression is given  by

[tex]4x-8+4y[/tex]

Answer:

Step-by-step explanation:

This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.