CARPENTRY A carpenter is building a podium. The side panel of the podium is cut from a rectangular piece of wood. The rectangle must be
sawed along the dashed line in the figure.

The redwood that the carpenter needs is 5 [tex]\frac{5}{6}[/tex] feet.

From the information, the carpenter uses 8 [tex]\frac{1}{2}[/tex] ft of cedar for every 13 [tex]\frac{2}{3}[/tex] ft of redwood for a construction project.

Let the redwood needed be illustrated as x.

It's important to note that 4 [tex]\frac{1}{4}[/tex] is half of 8 [tex]\frac{1}{2}[/tex]. Therefore, we will divide the redwoods given earlier by 2. This will be:

= 13 [tex]\frac{2}{3}[/tex] ÷ 2.

= 41 / 3 × 1/2

= 41 / 6.

= 6 [tex]\frac{5}{6}[/tex] ft

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Step-by-step explanation:

well this is a rather odd equation but I'm assuming that

x+x+x+x+x = 5x

Answer:

Step-by-step explanation:

first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,

add 80 and the ans of 80* (7/100)

80+5.6= 85.6

Answer:

$6.50

Step-by-step explanation:

3.50(2)+2x+2.50(3)=26.50

6.00+2x+7.50=26.50

13.50+2x=26.50

2x=13.00

x=6.50

The inequality that represents the quantity of bags of soil Sabrina needs is 1.75x >  42

The bags of soil needed is 24 bags

Inequality as used in math refers to relations that are not precisely equal

Sabrina needs more than 42 ft.³ of soil to top up her raised garden bed

> 42 ft³

each bag of soil contains 1.75 ft.³

let the number of bags of soil be x, such that

1.75x >  42

x > 42 / 1.75

x >  24

Sabrina needs at least 24 bags of soil

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Angle are ,x = 45 and y = 45

acc to our question-

Hence,Angle are ,x = 45 and y = 45

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Answer:

6.4 packs (7 as integer)

Step-by-step explanation:

Area of the square: 8^2 = 64 m^2

64 : 10 = 6.4

Answer:

Prime

Step-by-step explanation:

Because this number is only divisible by itself and no other number.

Answer:

chemistry books is 220 and number of biology books is 220

Step-by-step explanation:

let y be biology books

let x be the number of chemistry books

x-58=y

equation 1 ) x+y=382

sub in x-58 for y

2. x+(x-58)=382

3. 2x-58= 382

4. 2x=382-58

5. 2x = 324

6. x/2 =324/2

7. x = 162

for x=y+58

y=162

x 220

220+162=382

y+x=382

The equation ; x + 1/y = 7 as given in the task content is a linear equation.

It follows from the task content that the equation given in the task content is to be identified as linear or not.

Since the given equation is; x + 1/y = 7;

It is noteworthy to know that a linear equation is one in which case, the greatest exponent of the variable is; 1.

Therefore, since the greatest exponent of a variable in the given equation is 1; it follows that the equation is a linear equation.

Hence, the equation given in the task content; x + 1/y = 7 is a linear equation.

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Answer:

2x-y=18

Step-by-step explanation:

y + 4 = 2(x - 7)     (open brackets)

y + 4 = 2x - 14      (re arrange)

4 + 14 = 2x - y

2x - y = 18

Answer:

x = 3

Step-by-step explanation:

f(x)=4x - 1

f(x)=11, find x.

We want the value of x that would make 4x-1 equal to 11.  Use 11 instead of f(x):

f(x)=4x - 1

11=4x - 1

Solve:

12 = 4x

x = 3

If x were 3, 4x-1 would be 4*3-3 or 11

The total amount given the original price and tax rate is $33.59

From the question, we have the following parameters:

Original price = $31.69

Sales tax rate = 6%

In order to determine the total sales amount, we make use of the following total sales equation

Total sales = original price + original price * sales tax rate

Substitute the known values in the above equation

So, we have the following equation

Total sales = 31.69 + 31.69 * 6%

Evaluate

Total sales = 33.59

Hence, the total amount is $33.59

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Answer:

2 3/16

Step-by-step explanation:

It's simple math :D

NOVEMBER QUOTE!

Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox

(sorry that ones so long- ;-;)

Answer:

See below

Step-by-step explanation:

It is NOT a right triangle or the diagonal would measure 52 feet (instead of 54 feet) ....it is an OBTUSE triangle

Answer: x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4

Step-by-step explanation:

2sin(x)-1=0

tan(x)-1=0

sin(x)=1/2

tan(x)=1

x=π/6

x=5π/6

x=π/4

x=5π/4

x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4

Answer: 67

Step-by-step explanation:

do the math

The evaluation of the expression for the given values of j and k is -0.65

From the question, we are to evaluate the given expression for the given values of j and k.

From the given information,

The given expression is

(jk - 1) ÷ j

and

j = -4 and k = -0.9

Now, substitute the values of j and k into the expression

(jk - 1) ÷ j

((-4)(-0.9) - 1) ÷ -4

= (3.6 - 1) ÷ -4

= 2.6 ÷ -4

= - 0.65

Hence, the value of the expression is -0.65

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No the two rectangles are not similar as the ratios of the sides are not equal.

Two rectangles are said to be similar if the ratio of the sides of the rectangles are equal.

Now let us consider the given rectangles:

In rectangle ABCD:

AB = 18

AD = 36

In rectangle WXYZ :

WX = 25

XY = 45

Now the ratio of the sides of the rectangle are:

AB/AD = 18 / 36 = 1 / 2

WX/XY = 25 / 45 = 5 / 9

Thus we can see that AB : AD ≠ WX : XY

Hence the rectangles are not similar.

If the ratios of the adjacent sides of two rectangles are equal, then they are similar. A rectangle is a quadrilateral in the Euclidean plane because it has four right angles.

Other definitions include a parallelogram with a right angle or a quadrilateral that is equiangular, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

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The largest sample size required is 2886.4.

Here we have to calculate how large of a sample size is required.

The formula:

(Z ∝I2/ E)² × P( 1- P)

The given data:

Margin error (E) = 1.5%

=0.015

As it is given that 90% confident that your estimate is within 1.5% of the true population proportion, therefore we have:

The level of significance(∝) = 1 - 0.90

= 0.10

The z value for the 90% confidence is 1.645

Therefore the largest of a sample size is required = ( 1.645/ 0.015)²× ( 0.4)(1- 0.4)

= 2886.4

The largest a sample size required is 2886.4

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It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.

Given that;

Finding the hourly cost of stamping parts for each machine is one way to approach this issue.

In 4 hours, the outdated equipment can stamp 1000 pieces. That means that it produces 250 parts per hour (1000 divided by 4). The new machine produces 1000 parts in two hours, which translates to 500 components every hour of stamping (1000 divided by 2).

If t is the amount of time that both machines are simultaneously stamping, then to determine the output, which must be 1000 parts, we simply multiply the rates of the two machines by t.

By multiplying the unknown time, t, by each of the two machines' rates and setting the result equal to 1000, it is possible to determine the precise amount of time required. Equation form of this is;

250t + 500t = 1000

750t = 1000

t = 1000/750

t = 1.333

It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.

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Answer:

The slope is 5.

Step-by-step explanation:

[tex]m = \frac{1 - 6}{ - 1 - 0} = \frac{ - 5}{ - 1} = 5[/tex]

The F-test is used in regression analysis to test the hypothesis that all model parameters are zero. It is also used in statistical analysis when comparing statistical models.

Statistical models that have been fitted using the same underlying factors and data set to determine the model with the best fit. That is:

H₀ : B₁ = B₂ = .............  = Bₓ =0

H₁: Bₙ ≠ 0 for at least one j.

The F-test was developed by Ronald A. Fisher (hence F-test) and is a measure of the ratio of variances. The F-statistic is defined as:

F = [tex]\frac{explained variables}{unexplained variables}[/tex]

A general rule of thumb that is often used in regression analysis is that if  

F > 2.5then we can reject the null hypothesis. We would conclude that there is a least one parameter value that is nonzero.

The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)

The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)

                        F =[tex]\frac{x_{1}/v_{1} }{x_{2}/v_{2} }[/tex]

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The value of n is -22.

What is a variable?

Any traits, figures, or amounts that may be gauged or counted are considered variables.

Given:

5(n+4)/3=n-8

Move 3 to the right

5(n+4)=3(n-8)

5n+20=3n-24

5n-3n= -24-20

2n=-44

n=- 44/2=-22

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Answer: -2x+y=-12

Step-by-step explanation:

After what I did this is what i got. Can't really explain it

Hope this helps :)

Answer:

b=11

Step-by-step explanation:

lets set up the equation. we know that both sides equal each other so the equation is

2b+7=3b-4 let's move the 2b to the other side so we get

7=b-4 now add the 4 to the other side

11=b

Answer:

B is 11

Step-by-step explanation:

Answer; the  Negative of 12 is -12

Step-by-step explanation: first of all the reciprocal of 12 is 1 over 12. so that's not it. The absolute value of 12 is still 12 so that's not it. So the only thing that it can be is the Negative of 12 is -12  

The solution of the given equation [tex]y=6x+20[/tex] is [tex]x = \frac{y + 20}{6}[/tex]

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

We have,

                        [tex]y = 6x + 20[/tex]

Arrange the equation both sides so that all variable terms are on the left hand side.

                        [tex]6x - 20 = y[/tex]

Add 20 to both sides of the equation.

                   [tex](6x - 20) + 20 = y + 20[/tex]

                        [tex]6x = y + 20[/tex]

Divide both sides by 6 we get,

                          [tex]\frac{6x}{6} = \frac{y + 20}{6}[/tex]

                      ∴   [tex]x = \frac{y + 20}{6}[/tex]

Hence, final solution is [tex]x = \frac{y + 20}{6}[/tex] .

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Using the velocity, the rocket reaches its maximum height at 3.25 seconds.

In the given question we have to find the maximum height at the rocket reaches.

From the question; a toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second.

The height h in feet of the rocket above the ground at t seconds after launch is given by the function h(t)= -16t^2+104t+5.

As we know that at the maximum height, the velocity will be zero.

So the given function of the heigth is

h(t)= -16t^2+104t+5

Velocity(v) = dh(t)/dt = -32t+104

As the maximum height v=0

-32t+104 = 0

Subtract 104 on both side, we get

-32t= -104

Divide by -32 on both side

t= 3.25 seconds

Hence, the rocket reaches its maximum height at 3.25 seconds.

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