N
2. a carpenter wants to cut a wood board that is feet long
into pieces that are feet long. how many whole pieces
can be cut from the board? how much wood is left over
5
16

Answer:

25.99

Step-by-step explanation:

SOH CAH TOA

(sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent)

For the angle measurement provided (38 degrees), we know the opposite leg value, and we need to find the hypotenuse

the measurement of sin (opposite / hypotenuse) relates these two measurements

we can plug in our known values into sin:

sin = opposite / hypotenuse

sin (38) = 16 / x

(note: sin 38 = 0.61566147532, which we can round to 0.61566)

0.61566 = 16 / x

· x                   ·x           {multiply both sides by x to get rid of fraction}

0.61566(x) = 16

÷ 0.61566       ÷0.61566     {divide both sides by 0.61566 to isolate 1x}

x = 25.9883702043

{round to nearest hundredth}

x = 25.99

so, the measure of x is 25.99  {rounded to the nearest hundredth}

hope this helps!! have a lovely day :)

Answer:

cosx=adjacent/hypotenuse

triangle angle =180-(90+38)

=52°

cos(52°)=16/x

x=16/cos52

x≈23.373

Answer: y = (x - 1) (7x + 5)

Step-by-step explanation:

y = 7x² - 2x - 5     Use the slip and slide method.

y = x² - 2x - 35    Factor

y = (x - 7) (x + 5)  Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).

y = (x - 1) (7x + 5)

The factorized form of the quadratic equation is  y = (7x+5)(x - 1).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:

First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.

Next, we use these two numbers to split the middle term of the quadratic:

y = 7x² - 7x + 5x - 5

Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:

y = 7x(x - 1) + 5(x - 1)

Now, we have a common factor of (x - 1), which we can factor out to get the factored form:

y = (7x + 5)(x - 1)

Therefore, the correct answer is: y = (7x+5)(x - 1).

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Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

Step-by-step explanation:

Hi There! Let me help you :)

Known

[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]

[tex] \: [/tex]

Asked

Simplify form.

[tex] \: [/tex]

Answer

[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]

[tex] = {6}^{ - 10 - ( - 4)} [/tex]

[tex] = {6}^{ - 6} [/tex]

[tex] = {6}^{ - 6} \: \text{or} \: \frac{1}{ {6}^{6} } [/tex]

There are 2 answers, it's A and C.

His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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Answer:

finished this question is from matric it is very easy

Answer: x≠±2, x<±2, x>1, x<1, and x>±2

explanation:

for this equation to be true

Case 1

either (x-1) should be a negative while (x²-4) should be positive

which gives:-

x-1<0

so, x<1

also, x²-4>0

so, x²>4

⇒x>±2

Case 2:-

x-1>0 and x²-4<0

which gives

x>1 and x²-4<0

so, x>1 or x<±2

Case 3:-

either way, the denominator can't be 0

so, x²-4≠0

which gives,

x≠±2

compiling all, we have,

x≠±2, x<±2, x>1, x<1, and x>±2

These solutions can be pointed to as points on a number line and the behavior shows their discontinuity.

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Answer:

F (3)=-1

Step-by-step explanation:

The domain consists of the pre-images and the range has the images. We have the f (3)=-1 since -1 is the image of 3. When we are looking for the function of a number and we are given a diagram of such, we just need to take the value of the number it is pointing to.

Step-by-step explanation:

[tex] = (f + g)(4)[/tex]

[tex] = f(4) + g(4)[/tex]

The answer is A.

Answer:

x = 58°

z = 60°

y = 29( 58°)

Step-by-step explanation:

The arrows on the lines are trying to tell you that these lines are parallel to each other, whenever you see parallel lines think of *FUN* method

2y = 58° (alternate angles)

y = 29

x = 58° (alternate angles)

62° + 58° + z = 180° (sum of angles on a triangle)

120° + z = 180°

z = 60°

Answer: No solution

Step-by-step explanation:

Both of these equations have the same number as to coefficient of x (-6) but have a different constant (-8 and 8). This means that there are no solutions to this system of equations.

Answer: (2,5)

Step-by-step explanation: Step 1: Identify key concepts for Part A

y=7x-9

Slope: 7

y int.  :  -9

y=3x-1

Slope: 3

y int.  :  -1

Since you know this information, you can plot the points and graph it.

Part B

To solve a system of equations, you need to identify the point whereby the two graphs intersect, and since you're solving it graphically, just find the point of intersection. You should get an answer of: (2,5)

(x=2) and (y=5)

Answer:

False

Step-by-step explanation:

n÷12=36

n=36*12

hence n=432

hope it helps you and give me a brainliest

Answer:

(redacted answer - it was wrong - moderator please delete)

false

Answer:

integers include negative numbers, whole numbers are only 0 and positive numbers.

Step-by-step explanation:

whole numbers are very similar to integers as they do not have a decimal place although whole numbers are from 0, 1, 2, 3.... and so on whereas integers include negative numbers as well. So all whole numbers are integers but not all integers are whole numbers.

Volume is a three-dimensional scalar quantity. Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of 12 bead = 12 × (4/3) × π × R³

                                        = 12 × (4/3) × π × (0.7)³

                                        = 17.241 cm³

Given the density of platinum as 21.5 grams per cubic centimeter, therefore,

Mass = density × Volume = 370.682

Since Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

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The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

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Answer:X=-5 and X=3

Step-by-step explanation:

Answer:

5.9

Step-by-step explanation:

The distance between a point A and a point B is A-B.  (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9

Answer:

Step-by-steDistance between

(

−

4.5

,

−

4.5

)

and  

(

3.5

,

3.5

)

 is

8

√

2p explanation:

Hence distance between

(

−

4.5

,

−

4.5

)

and

(

3.5

,

3.5

)

is given by

√

(

3.5

−

(

−

4.5

)

)

2

+

(

3.5

−

(

−

4.5

)

)

2

=

√

8

2

+

8

2

=

√

64

+

64

=

√

128

=

√

8

2

×

2

=

8

√

2

Answer:

A

Step-by-step explanation:

Given:

[tex]8-3x > 2(3x-5)[/tex]

Simplify by distributing:

[tex]8-3x > 6x-10[/tex]

Add 10 to left side and add 3x to the right side:

[tex]18 > 9x[/tex]

The equation of the sequence will be [tex]\rm a_n = 0.8 \times a_{n -1} +200[/tex],

where a₁ = 800. Then the correct option is C.

Let a₁ be the first term and r be the common ratio. Then the geometric sequences will be

[tex]\rm a_n = a_{n -1} \cdot r[/tex]

Mahek owns a holiday tree farm.

There are currently 800 trees on the property.

Each year, 20% of the trees are harvested and sold, and 200 seedlings are planted.

Then the equation of the sequence will be

[tex]\rm a_n = 0.8 \times a_{n -1} +200[/tex]

Where a₁ = 800.

Then the correct option is C.

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Answer:

3. a1 = 800, an = 0.80an-1 + 200

Step-by-step explanation:

If the 72% of its original amount of C-14. Then the number of years will be 3285.

The complete question is attached below.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14.

Then the function is given below.

[tex]\rm N= N_0 \ e^{-kt}[/tex]

Where, N₀ is the initial amount of C - 14, t is the number of the years, k is constant that is 0.0001, and N be the amount of the C - 14 at t years.

[tex]\rm N= N_0 \ e^{-0.0001 \times t}[/tex]

We have N = 0.72N₀, the time will be

[tex]\rm 0.72N_0 = N_0 \ e^{-0.0001 \times t}\\\\\rm 0.72 \ \ \ \ = \ e^{-0.0001 \times t}[/tex]

Take log on both side, then we have

ln 0.72 = -0.001 × t × ln e

  -0.33 = -0.001 × t

         t = 3285 years

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The equation which relates the mass and length according to the task content is; l = (3/10)m.

From the task content, it follows that the proportional relationship is direct. Hence, the constant of proportionality k can be evaluated as follows;

l = k × m

Hence, k = l/m = 9/30 = 3/10.

Therefore, the proportional relationship is given by the equation; l = (3/10)m

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It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴

From the graph, a and b be real numbers where a = b = 0. In this case, zero is not a root of the polynomial function

When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.

Thus, the correct option B. i.e. f(x)=(x-a)²(x-b)⁴

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Answer:

(2.5, - 10 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then

midpoint = ( [tex]\frac{-16+21}{2}[/tex] , [tex]\frac{-12-8}{2}[/tex] ) = ( [tex]\frac{5}{2}[/tex], [tex]\frac{-20}{2}[/tex] ) = (2.5, - 10 )

Answer: c - (2 1/2 - 10)

Step-by-step explanation:

Red sweets

_______

Total number =

N÷n+8

Probility is 7/10=n÷n+8

10n= 7n+56

3n=56

N= 56/3 but it has to be a whole number so 7/10

Based on the image description, the quantity that is equal to cos W is sin P.

The image is known to be showing an object on a ramp. Based on it, we can therefore take the angle a to the complementary angle of angle w.

Note that the angle w and angle b are said to be the same via alternate interior angles. Therefore,  the quantity that is equal to cos W is sin P.

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Answer:

1 1/5

Step-by-step explanation:

First, make 3 a fraction by putting it over one. Then multiply the numerators (top) together and the denominators (bottom) together.

3/1 x 2/5 = 6/5

Now reduce by dividing 6 by 5 and you get 1 1/5.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3\times\dfrac{2}{5}}\\\\\mathsf{= \dfrac{3}{1}\times\dfrac{2}{5}}\\\\\mathsf{= \dfrac{3\times2}{1\times5}}\\\\\mathsf{= \dfrac{6}{5}}\\\\\mathsf{= 1 \dfrac{1}{5}}\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{\dfrac{6}{5} \ or \ 1 \dfrac{1}{5}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The average rate of change is 4.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The rate of change in interval [0, 2]

r=[h(2)-h(0)]/2

h(2)=(2)²+2(2)-6

h(2)=4+4-6

h(2)=2

h(0)=(0)²+2(0)-6

h(0)=0+0-6

h(0)=-6

So, r=[h(2)-h(0)]/2

r=[2-(-6)]/2

r=(8)/2

r=4

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Step-by-step explanation:

the slope is the factor of x in an equation

y = ax + b

we have here

3y = -5x + 21

to get to the general format above we need to divide everything by 3 :

y = -5/3 x + 7

so, we see, the slope is -5/3.

the perpendicular (angle of 90°) slope is the original slope turned upside-down and with flipped sign :

3/5

so, I guess the correct answer option is c.

but it is not clear what you wrote there, as there is a "-" sign somehow in all 4 answers.