David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the
length. What is the area, in square feet, of the piece of wood?

Formula:
Area = Length x Width

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  [tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]

So, the sum can be written as ...

  [tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]

_____

It appears that the key to choosing the correct answers is paying attention to signs.

Answer: Step number 2 is 287,980

Step-by-step explanation:

Just did the assignment.

Answer:

35

Step-by-step explanation:

the answer is 35 because a straight line is 170° and 135+35 is 170

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

Answer:

its D

Step-by-step explanation:

Answer:

E and F

Step-by-step explanation:

So, our inequalityis that the square root of x is eithr greater than or equal to 25.

Lets think of this as a equation, and try solving for x:

[tex]\sqrt{x} \geq 25[/tex]

Lets square both sides to get x normal:

[tex]x\geq 625[/tex]

Now, x must either be greater than or equal to this value.

Lets look at the answers:

125

-625

-5

5

700

625

Well, most these answers are below the 625.

However, some of these values look like they may be right:

-625

700

625

So, -625 cannot be it. Although it seems to be equal to to 625 above, its negative. This means its much smaller than it

We also have 625 and 700

700 is greater than 625, so that has to be an answer.

Remember that its greater than or equal to.

625 is equal to 625, so this is an answer as well.

Answers:

625 and 700

Hope this helps! Sorry that you could not get a real answer until now :(

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

Answer:

wefwdwddwd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

18 nickels, 9 dimes, 6 quarters.

Step-by-step explanation:

Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.

Answer:

7,548,400

Step-by-step explanation:

Answer: The vertical line on a graph representing the vertical coordinate points.

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.

Step-by-step explanation:

Step-by-step explanation:

sin(p) = opposite / hypontenuse = 45 / 53

Answer:

373.8

Step-by-step explanation:

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is  

                                          x`             Std. Dev      

R. disagrees                  4.16       0.854        

P. disagrees                 3.82       0.967        

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

The solution of system of equations is (5, 10)

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

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Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

Answer:

The swimmer must move in the direction 338.2°

Step-by-step explanation:

Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular,  the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.

The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph

So, θ = tan⁻¹(-1.2 mph/+ 3mph)

θ = tan⁻¹(-1.2/3)

θ = tan⁻¹(-0.4)

θ = -21.8°

θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)

θ = 338.2°

So, the swimmer must move in the direction 338.2°.

Answer:

9927.5$

Step-by-step explanation:

4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.

There are 180 degrees in a triangle

4. 38+38= 76 degrees

180-76=104

Isosceles, Obtuse

5. 65+ x+x=65

Well we know one of the x

It is 90 degrees because it is a right angle

65+90=155

180-155=25

Scalene, Right triangle

6. 71+45= 116

180-116=64

7.  Scalene, acute

8. 126+22=148

180-148=32

Scalene, Obtuse

9. 50+90=140

180-140=40

Right angle,  Scalene

Please let me know if i got anything wrong

The total interest on the loan will be $457,412,82892.

Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.

We can find the total interest on loan, using the formula -

I = {P(1 + APR/100)^t − P}

The principal amount of loan = $220,000

Compound APR = 3.82%

Time = 30 years

Using the formula, we get -

220,000[1 + 0.0382]^30−220,000

220000{[1 + 0.0382]^30 - 1}

$457,412,82892

Therefore, the total interest on the loan will be $457,412,82892.

To solve more questions on mortgage loans, visit the link below -

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Answer

i think it is 48.

Step-by-step explanation:

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

Answer:

6

Step-by-step explanation:

3/4 * 8 is really easy but.....

you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.

Answer:

6

Step-by-step explanation:

First you have to set it up 3/4 * 8/1

then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.