which statement about these methods is True?A. method 1 is an experiment because the farm uses the new fertilizers.B. method 2 is an experiment because there are 16 different plots used.c. methods 1 and 2 are bothe experiments because both use the new fertilizer D. method 2 is an experiment because the plots are randomly assigned a fertilizer

Answer:

x = 8 or x = -2

Step-by-step explanation:

x^2 - 6x + 9 = 25

x^2 - 6x - 16 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 1

b = -6

c = -16

substitute in the formula

x = [-(-6) +/- √(-6^2 - 4(1)(-16))]/2(1)

x = [6 +/- √(36 + 64)]/2

x = [6 +/- √10]/2

x = [6 +/- 10]/2

x1 = [6 + 10]/2 = 16/2 = 8

x2 = [6 - 10]/2 = -4/2 = -2

Answer:

x = 8,-2

Step-by-step explanation:

First, complete the square on LHS (Left-Handed Side).

\(\displaystyle \large{x^2-6x+9=(x-3)^2}\)

Make sure to recall the perfect square formula. Rewrite another equation with (x-3)² instead.

\(\displaystyle \large{(x-3)^2 = 25}\)

Square both sides of equation.

\(\displaystyle \large{\sqrt{(x-3)^2}=\sqrt{25}}\)

Because x² = (-x)² which means that it’s possible for x to be negative. Thus, write plus-minus beside √25 and cancel square of LHS.

\(\displaystyle \large{x-3=\pm \sqrt{25}}\\ \displaystyle \large{x-3=\pm 5}\\ \displaystyle \large{x=\pm 5+3}\)

Therefore, x = 5+3 or x = -5+3

Thus, x = 8,-2

The method above is called completing the square method.

Answer: I got 78 cm^2

Step-by-step explanation:

First let's look at the cube on top.

5 of the 6 surfaces are visible (the bottom one is covered by the rectangular prism)

so it's 5 * (2^2)cm = 20 cm^2

The rectangular prism has faces (3x5), (2x5), and (2x3)

There are 2 (2x3) surfaces, 2 (2x5) surfaces (the one on top is cut off by the cube tho, so it's really another (2x3) surface)

so, 3 * (2x3) + 2 * (3x5) + 1 * (2x5) =

     3*6 + 2*15 + 10 =

     18 + 30 + 10 =

     58

then add in the cube's surface

     58 + 20 =

    78 cm^2

Answer:

okay well are their answer options?

but if not, then here is a statement that is true:

a and b when both of their slopes are multiplied it will equal -1.

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

Answer: 4/33

Step-by-step explanation:

just divide

Answer:

The answer is 4/33.

Step-by-step explanation:

to get this you just have to divide.

you're welcome.

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Using probability, the expected number of pears to be sold if a total of 30 pieces of fruit are sold during the day is 12.

Given that,

When a total of 20 fruits are sold in a day,

Number of pears sold = 8

So the probability of selling pears can be calculated as,

Probability = 8/20 = 0.4

Percentage = 40%

40% of the total fruits sold will be pears.

Expected number of pears sold if the total fruits sold is 30 is,

Expected number = 30 × 0.4 = 12

Hence the expected number of pears sold if the total fruits sold is 30 is 12.

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Answer:

Option B

Step-by-step explanation:

The two samples are paired as the gas mileage of 48 trucks is measured for before tuneup and after tuneup. The gas mileage of 48 trucks will be affected by receiving tuneup. As the same 48 trucks are selected for tuneup, so the sample will be dependent. Hence the two samples are dependent because the same trucks are sampled.  

Answer:

x = 3.9933

Step-by-step explanation:

0.16x+0.3(x-2) = 0.01(4x-1)

or, 0.16x + 0.3x - 0.6 = 0.04x - 0.001

or, 0.19x -0.04x = -0.001+0.6

or, 0.15x = 0.599

or, x = 0.599/0.15

or,x = 3.9933

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer:

The window is 22 inches tall.

Step-by-step explanation:

Since hight×width equals area, then area÷width=hight.

The area is 352 sq. in.

The width is 16 inches.

So we have 352÷16=how tall the window is.

Now, divide. I often use guess-and-check if I don't have paper nearby:

16x10=160

16x20=320

352-320=32

16x2=32

16x2+16x20=16x22

320+32=352

The window is 22 inches tall.

Answer:

2

Step-by-step explanation:

The product of powers of exponents cannot be used to simplify the binomial expansion

Given data ,

Let the binomial expansion be represented as A

A = ( 3z + y )³

According to the property of products of powers, exponents can be multiplied when a power is increased to a higher power.

The product of powers characteristic cannot be applied to the equation (3z + y)³. This is due to the fact that (3z + y)³ is a binomial raised to the power of 3, not just a power of a single word.

These terms cannot be simplified further using the product of powers property because they involve different variables or variable combinations.

In this case, it is more appropriate to expand the expression using the binomial expansion

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Answer:

if 8 equal parts then we have 16 parts

O is at zero

16 as at 2

and

29 is away from 2 between 3 and 4

We know this as 16 + 16 is 32 which is 4

count 3/8 between 4 and 3  and when counting 3/8 back we get 29.

Step-by-step explanation:

If 29 meant to be 2/9 then we are still at 2/8 and show the second part 0-1

if 16 was meant to be 1/6 then we know 1/6 is still closer to 1/8 and we show the first divided equal part 1/8

Zero stays 0

Rest distance=15-3=12km

\(\\ \sf\longmapsto Speed=\dfrac{Distance}{Time}\)

\(\\ \sf\longmapsto Time=\dfrac{Distance}{Speed}\)

\(\\ \sf\longmapsto Time=\dfrac{12}{45}\)

\(\\ \sf\longmapsto Time=0.266h\approx 0.27h\)

Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

Step-by-step explanation:

As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $400 worth of merchandise in one month, he is paid $384. If he sells $700 of merchandise in one month, he is paid $447.

Answer:

Step-by-step explanation:

To solve this problem, we can set up a system of two equations with two variables. Let x be Justin's base pay for the month and y be the commission rate he receives for each dollar of merchandise sold. Then we have:

400y + x = 384 (equation 1)

700y + x = 447 (equation 2)

To solve for x and y, we can use the method of substitution. Solving equation 1 for x, we get:

x = 384 - 400y

Substituting this expression for x into equation 2, we get:

700y + (384 - 400y) = 447

Simplifying and solving for y, we get:

300y = 63

y = 0.21

Substituting this value of y into equation 1, we can solve for x:

400(0.21) + x = 384

x = 304.80

Therefore, Justin's base pay for the month is $304.80 and he receives a commission of 21% on all merchandise sold.

Answer:

8+5x=24

Step-by-step explanation:

hope this helps

Answer:

\(k = \frac{1}{2}\)

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

\(y = kx\)

When y = 1, x = 2;

So, we have:

\(1 = k * 2\)

\(2 * k = 1\)

Make k the subject

\(k = \frac{1}{2}\)

Hence, the constant of proportionality is 1/2

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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The image coordinates of NMO after the translation is option d: N′(−5, −6), M′(−2, −5), and O′(−3, −7).

To get the image coordinates of the preimage translated -2 units to the left, we simply subtract -2  from the y-coordinates of each vertex:

N' = (Nx - (-2), Ny) = (−5 , 2- (-2)) = (−5, 4)

M' = (Mx - (-2), My) = (−2 , 1 - (-2)) = (−2, 3)

O' = (Ox - (-2), Oy) = (−3 , 3- (-2)) = (−3, 5)

Therefore, based on the above, the image coordinates of NMO after the translation are N′(−5, 4), M′(-2,3 ), O′(−3, 5)

So the reflected vertices are:

The distance from N to the line y = -2 is 4, and -6 - (-2) = -4, so one need to move down 4 units to have  a y-coordinate of -6.

The distance from M to the line y = -2 is 3, and -5 - (-2) = -3, so  one need to move down 3 units to have a y-coordinate of -5.

The distance from O to the line y = -2 is 5, and -7 - (-2) = -5, so  one need to move down 5 units to have  a y-coordinate of -7.

So it will be: N′ (−5, −6), M′(−2, −5), O′(−3, −7)

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Answer:

---------------------

Given triangle MNO with vertices:

It is reflected in line y = - 2.

This reflection doesn't affect the x-coordinates of the vertices and the y-coordinates change.

Since y = - 2 is the line of symmetry,  it also represents midpoints of the segments formed by corresponding endpoints of image and preimage.

Using midpoint equation, find the y-coordinates.

So the coordinates of the image are:

This is matching the option D.

See attached for visual representation of the problem.

Answer:

im sorry

i still dont know the answer tho

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Answer:

$17,535

Step-by-step explanation:

 Original (old) salary:  $16,700/year

+ raise:                          0.05($16,700/year) = $835/year

---------------------------------------------------------------------------------

 New salary:  Original salary plus amount of raise:

                        $16,700/year + $835/year   =  $17,535

A faster but still valid approach to finding the new salary involves multiplying the original salary by 1.05:

1.05($16,700) = $17,535.  Here the '1.00' represents the original salary and the '0.05) the raise.

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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Answer:

0.75

Step-by-step explanation:

this is what popped up in my calculator so i hope this helps you. :)

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:it’s A

Step-by-step explanation:

Answer:

A. d ≥ -2 3/10

Step-by-step explanation:

-5d + 5 1/2 ≤ 17

-5d + 11/2 ≤ 17

-5d ≤ 17 - 11/2

2(-5d) ≤ 2 × 17 - 2 × 11/2

2(-5d) ≤ 2 × 17 - 11

-10d ≤ 2 × 17 × 11

-10d ≤ 34 - 11

-10d ≤ 23

d ≥ -2 3/10

So A is the answer