The relationship between man and the environment changed after the Fall. True or False

[tex]8 {s}^{2} - 10st + 3 {t}^{2} \\ = 8 {s}^{2} - 4st - 6st + 3 {t}^{2} \\ = 4s(2s - t) - 3t(2s - t) \\ = (2s - t)(4s - 3t)[/tex]

The correct answer is B. approximately 250g

If Sharon is 3 years younger, then it's s = 3-b. However, it's twice her brothers age, which makes the formula our final answer, A, or [tex]s = 3 - 2b[/tex]

The correct option is A

He was ironing when the phone rang.

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. The mirror focused the sunlight onto his ear, causing it to burn.

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. When the professor held the mirror close to his ear and exposed it to sunlight, the mirror focused the sunlight onto his ear, causing it to burn.

The concave mirror has a curve that causes the light rays to converge at a specific point called the focal point. This concentrated light energy resulted in the burning sensation on the professor's ear.

This phenomenon is similar to using a magnifying glass to focus sunlight onto an object and create heat. The concave mirror acted as a magnifying glass, amplifying the intensity of the sunlight and leading to the ear burn.

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The answer is A because completing the square gives a minimum of 2,-9 and factorising gives roots of 5 and -1 :)

Answer:

Minimum at (2,-9)  and  intercepts are (-1,5)

Step-by-step explanation:

f(x) = [tex]x^2 -4x-5[/tex]

completing square method adding and subtracting the square of half of coefficient of 4 ,we get

f(x) = [tex]x^2 -4x+4 -4 -5[/tex]

f(x) =[tex](x-2)^2 -9[/tex]

on comparing it with standard vertex form [tex](x-h)^{2} +k[/tex]

                                 where k is suppose to be the minimum value

on comparing  it we get  k = -9

which is minimum value of f(x)

at x =2

and if we find the zeros of

[tex]x^2 -4x-5[/tex] ,we get

[tex]x^2 -5x+x -5[/tex]

[tex]x^2 -4x-5[/tex]

x(x-5)+1(x-5)

(x+1)(x-5)

on setting it equals zero ,we get

x+1 =0 and x=5

x =-1 and x=5

therefore option A is answer

Minimum at (2,-9)  and  intercepts are (-1,5)

Answer:

2.5×2=5

3.5×2=7

RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7

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Step-by-step explanation:

Answers are attached in the 2 pics below. Please check!

Answer:

1/4 of a red marble

5/4 green marbles

14/4 blue marbles.

Step-by-step explanation:

Make a system of equations.

There are 5 marbles, so r + g + b = 5.

There is 2 more of blue marbles than red + green so b - 2 = r + g

There is 1 less red marble than green marbles so g = r + 1.

Then substitute.

b - 2 = r + r + 1

b = 2r + 3

r + r + 1 + 2r + 3 = 5

4r + 4 = 5

4r = 1

r = 1/4

g = 1/4 + 1

g = 5/4

1/4 + 5/4 + b = 5

6/4 + b = 20/4

b = 14/4

Plug them back into the equation and it checks out.

*Note : I don't know how this would work in real life but it's the answer.

Answer:

The correct answer option is C. [tex]2\frac{1}{2}[/tex] pounds

Step-by-step explanation:

We are given that Emma has [tex]5\frac{3}{8}[/tex] pounds of potato salad and [tex]5\frac{3}{8}[/tex] pounds of egg salad for a picnic.

We are to find out how much more pounds Emma has of potato salad than the egg salad.

To find this, we simple need to subtract the pounds of egg salad from the pounds of potato salad.

[tex]5\frac{3}{8} - 5\frac{3}{8}[/tex] [tex]=\frac{43}{8} -\frac{23}{8} =\frac{43-23}{8} = 2\frac{1}{2}[/tex] pounds

Answer:

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

Step-by-step explanation:

if a−b=c,then a−b+b=c+b,or a=c+b

Answer:

addition property of equality

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

21 divided by 3 =7   7 per 1/3

7x2=14

Final answer:

Min will fill up 14 gallons of water if he runs his hose, which pumps 21 gallons per hour, for 2/3 of an hour.

Explanation:

If Min's hose can pump 21 gallons of water every hour, and he runs the hose for 2/3 of an hour, you would calculate the total gallons of water filled by multiplying the rate (21 gallons/hour) by the time (2/3 hour).

To find out how much water Min fills up:

Therefore, Min will fill up 14 gallons of water if he runs the hose for 2/3 of an hour.

Answer:

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Step-by-step explanation:

we have

[tex]f(12)=100(0.50)^{12}[/tex]

we know that

f(12) is the value of the function for x=12

therefore

The function f(x) should be

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Answer:

D . f(x) = 100(1/2)^x

Step-by-step explanation:

If f(12) = 100(0 .50)¹²

∴ f(x) = 100(1/2)ˣ

Answer:

23/40 is a rational number

Step-by-step explanation:

an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal

In the given question, 23/40 is a rational number.

A rational number is any number that can be expressed as the quotient or fraction of two integers (whole numbers), where the denominator is not zero. Rational numbers include fractions and terminating or repeating decimals, but not irrational numbers like the square root of 2.

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 23/40 is a rational or irrational number, we need to check if it can be expressed as a ratio of two integers. The numbers 23 and 40 are both integers, and the denominator is not zero, so 23/40 is a rational number.

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Answer:

Area = 2

Step-by-step explanation:

Givens

The leg and the height of the right angle triangle are both radii of the semi circle.

The diameter of the semicircle is 4

Solution

radius = diameter /2

radius = 4/2

radius = 2

Area = 1/2 * b * h

b = 2

h = 2

Area = 1/2 * 2 * 2

Area = 2

Answer:

2 units²

Step-by-step explanation:

The diameter is 4 units.

The radius is 4/2 = 2 units.

The two legs of the triangle are a measure of 2 units or just the radius length.

Area of triangle = bh × 1/2

2 × 2 × 1/2

4/2 = 2

180-59=121

121+30=151

180-151=29.

C is the answer.

Answer:

44

Step-by-step explanation:

A=a+b

2h=6+5

2·8=44

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{6},\stackrel{y}{10})\qquad \textit{we know that } \begin{cases} x=6\\ y=10 \end{cases}\implies 10=k6\implies \cfrac{10}{6}=k\implies \cfrac{5}{3}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{5}{3}x}[/tex]

to get another point, we simply can pick a random independent variable, namely "x", say hmmmm x = 9, thus

[tex]\bf y=\cfrac{5}{3}(\stackrel{\stackrel{x}{\downarrow }}{9})\implies y=5\cdot \cfrac{9}{3}\implies y=10~\hspace{7em}\boxed{(9, 10)}[/tex]

To find another point with integral coordinates on the graph of the equation representing a direct variation, we can use the given point (6, 10) and the fact that the equation represents a direct variation. By finding the value of the constant of variation, we can substitute an integral x-value to find the corresponding y-value for another point on the graph.

To find another point with integral coordinates on the graph of the equation representing a direct variation, we need to use the given point (6, 10) and the fact that the equation represents a direct variation. A direct variation equation has the form y = kx, where k is the constant of variation. In this case, we can use the given point to find the value of k. When x = 6 and y = 10 in the equation y = kx, we can substitute these values to solve for k: 10 = k * 6. Solving for k, we get k = 10/6 = 5/3.

Now that we know the value of k, we can find another point with integral coordinates. Let's try x = 3. Using the equation y = kx, we can substitute x = 3 and k = 5/3 to find y: y = (5/3) * 3 = 5.

So, another point with integral coordinates on the graph of the equation representing a direct variation is (3, 5).

Answer:

If you give the diameter and the radius, as well as the circumference, I will be of more help :)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

i don't know if this is the correct answer 3360y^2

Answer:

Product [tex](21) ( x^{7})(y^{11})[/tex].

Step-by-step explanation:

Given : [tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

To find : product .

Solution : We have given that

[tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

Combine like terms

[tex](7 * 3) ( x^{2}*x^{5})(y^{3}*y^{8})[/tex].

By the exponential rule : if the base of two exponent is same then power must be added . [tex]x^{a} *x^{b} = x^{a+b}[/tex].

Then

[tex](21) ( x^{2+5})(y^{3+8})[/tex].

[tex](21) ( x^{7})(y^{11})[/tex].

Therefore, Product [tex](21) ( x^{7})(y^{11})[/tex].

The answer is D because 127° is = p

180-127=p. P=53

180-116=r. R=64

53+64+q=180

117+q=180

Subtract 117 from both sides

Q= 63

Answer:

1

Step-by-step explanation:

If you only take out 2 marbles, you have to take out red marbles both times to have 2 red marbles. There is no other option.

Answer:

C

Step-by-step explanation:

Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.

-17=-3(2-2)²-17

-17=0-17

-17=-17✓

2=3(x+17)1+2

2=0+2

2=2✓

With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.

Answer:

17 acres

Step-by-step explanation:

9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.

➷ To figure this out, you need to understand that there are 60 minutes in an hour

Subtract 10 from this value:

60 - 50

As it isn't 60 minutes, it wouldn't be 9 anymore

9-1 = 8

The correct answer would be: 8:50

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

2(7.5x+3.5)

Step-by-step explanation:

I can't remember what these equations are actually called, however in order to solve this you simply multiply 7.5 by 2, and then 3.5 by 2.

Y=|x|. An absolute value has a V shape.

Final answer:

The equation that will make a V-shaped graph is y = |x|, as it plots the absolute value of x, creating a V shape by reflecting points on the positive side of the y-axis for both positive and negative values of x.

Explanation:

The student asked which of the following equations will make a V-shaped graph. The answer is y = |x|. This is because the absolute value function produces a graph that is V-shaped, reflecting the positive distance from zero for both positive and negative values of x. The other options presented, such as y = 2x, would produce a straight line; x² + 5 = y (correctly read as y = x² + 5) would produce a parabola; and y = 1/3x would also result in a straight line, just with a different slope. Only the graph of y = |x| has the distinct V shape as it plots the absolute value of x, meaning it reflects the points on the positive side of the y-axis for both positive and negative values of x.

To find the unit rate, divide total cost by number of cans bought.

$30 / 12 cans = $2.50 per can.

Now multiply the unit cost by the number of cans you want to buy:

2.50 x 100 = $250.00

2.50 x 250 = $625

[tex]\bold{Hey\ there!} \\ \bold{976-522=454}\\ \boxed{\boxed{\bold{Thus, 400\ is\ \underline{LESS\ THAN}\ 976-522}}} \\ \bold{Just\ solve\ your\ particular\ equation} \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

➷ Angles subtended by the same arc are equal

Therefore, x = 30 degrees.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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The answer is 30 Degrees

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