PLEASE HELP!! STUCK ON THIS! Do you think the amount of water wasted by the leaky faucet over the course of 1 day is closer to the estimate of 1 cup, 1 gallon, or 1 shower? Explain your reasoning.
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I think the amount of water wasted will be closer to a __________ measure because:

The equation of the function g(x) is g(x) = -2|x - 2| + 5

The function f(x) is given as

f(x) = 2|x - 2| - 5

The rule of the transformation is a reflection across the x-axis

This is represented as

g(x) = -f(x)

So, we have

-f(x) = -2|x - 2| + 5

Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5

g(x) = -2|x - 2| + 5

Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5

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The equation that can be used to find the number of days is 32 - 3n = 11

The given parameters are

Initial amount = 32

Rate = 3 i.e. 3 children

Amount left = 11

Let the number of days be n

So, we have:

Initial amount - number of days * rate = amount left

This gives

32 - 3n = 11

Hence, the equation that can be used to find the number of days is 32 - 3n = 11

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Answer:

27 m³

Step-by-step explanation:

Formula we use,

→ V = a³

Let's solve the problem,

→ V = a³

→ V = 3³

→ [ V = 27 m³ ]

Hence, it occupies 27 m³.

The perimeter of the triangle in discuss expressed in terms of the length of the base as required in the task content is; Perimeter= 5x.

According to the task content, it follows that the perimeter of the triangle in terms of the length of the base is to be determined.

Let x = length of the base

Therefore, length of each leg = 2x.

Therefore, since the perimeter of the triangle is the sum of all sides; it follows that we have;

Perimeter = x + 2x +2x

Perimeter = 5x.

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The point at which Leila should stop to take break is (6.25 , 3.75)

Given P(10 , 3) and R (0 , 4)

The ratio is 3:5

Let the break point be point B.

The formula is : (n(x₁) ₊ m(x₂)/ m₊n , n(y₁) ₊ m(y₂)/ m₊n)

P(10,3) = (x₁ , y₁)

R(0,4) = (x₂ , y₂)

m:n = 3:5

B = (5(10) ₊ 3(0)/3₊5 , 5(3) ₊ 3(4)/3₊5)

B = (50₊0/8 , 15₊12/8)

B = (50/8 , 27/8)

B = (6.25 , 3.75)

Hence Leila should stop at point (6.25 , 3.75) for her break.

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Answer:

∠A

∠EAU

∠UAE

Step-by-step explanation:

You can name an angle by their middle vertex letter which, in this case, is A.

You can also name an angle using the three letters provided: E, A, U.

However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.

Let me know if you don't understand or need more explanation.

Answer:

We can see that after 2 years, enrollment becomes 35 instead of 15.

35/15=2.333...)

Since it's exponential, take sqrt(2.333...)=about 1.5

So the growth is 50%

5% of votes were for Tom: 27

2/9 of the votes were for Rebecca: 114

213 votes are for Wendy

All real numbers x more than 2 units from 0 will be |x - 2| ≤ 0.

What does "real number" mean?

All real numbers x at most 2 units from 0

This means if x is centered at 2 then it can move at the max 2 units on either side (i.e. 4 units after 2 and 0 units before 2)

This will be |x - 2| ≤ 0

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Answer: The value of  X = 50°

Step-by-step explanation:

from diagram:

40° = 40°(vertically opposite angles)

40° + 90° + opposite side of X = 180 °(exterior angle property)

130° + opposite side of X = 180°(linear pair property)

opposite side of X = 180° - 130°

= 50°

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Answer:

y = 4x + 5

Step-by-step explanation:

y = 4x + 5 is the only one that graphs a straight line

In linear equation, y ≥ x + 12/3 is simple version .

What in mathematics is a linear equation?

y ≥ 1/3 x + 4

y ≥ x/3 + 4

y ≥ x + 12/3

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When the function changes from increasing to decreasing, a local maximum occurs. The value of a = 5e.

A local maximum point on a function is a point (x, y) on the function's graph whose y coordinate is greater than all other y coordinates on the graph at "close to" points (x, y).

When the function changes from increasing to decreasing, a local maximum occurs. This means that the function's derivative will shift from positive to negative.

Let the function be [tex]&F(x)=a x e^{b x} \\[/tex]

[tex]&F '(x)=d / d x\left(a x e^{b x} ) \\[/tex]

[tex]&=a(d / d x)\left(x e^{b x}) \\[/tex]

simplifying the above equation, we get

[tex]&=a\left[\left(d / d x* x\right) e^{b x} +\left(x* d / d x* e^{b x} )\right] \\[/tex]

[tex]&=a\left[e^{b x} +b x e^{b x} \right] \\[/tex]

[tex]$&=a[1+b x] e^{b x}[/tex]

For critical points, set [tex]$f^{\prime}(x)=0$[/tex] and solve for x

[tex]&a[1+b x] e^{b x} =0 \\[/tex]

simplifying the above equation, we get

1 + bx = 0

bx = -1

x = -1/b

The value of x = -1/b

Given that f(x) has local max at 1/5, critical point x = 1/5 then

-1/5 = -1/b

Therefore, b = -5

[tex]&F(x)=a x e^{-5x}\\[/tex]

[tex]&F(1 / 5)=a / 5 e^{-1}\\[/tex]

1 = a/5e

Therefore, the value of a = 5e.

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The value of x in the angles is 17

The angles are given as

3x + 10 and 2x - 5

These angles are complementary angles

So, we have

3x + 10 + 2x - 5 = 90

Collect the like terms

So, we have

3x + 2x + 10 - 5 = 90

Evaluate the like terms

So, we have

5x = 85

Divide both sides by 5

x = 17

Hence, the value of x in the angles is 17

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Answer:

720

Step-by-step explanation:

4x180=720 u have to multiply because 4 miled in 180 days is the same as 4x180

Answer:1.c 2.b 3.a

Step-by-step explanation:

Answer:

The inverse is [-4/3 -5/3 1]

[-4/3 -8/3 1]

[1/3 2/3 0]

Sorry, I didn't know how to type it well.

The digits that make the given statement true are 3 or 7.

So, 5,156,9_6 to be divisible by 4:

Therefore, the digit that makes the given statement true is 3 or 7.

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The correct question is given below:
Type a digit that makes this statement true.

5,156,9_6 is divisible by 4.

(-23/20) in a decimal form long division will be equal to (-1.15)

As per the question statement, we are provided with a fraction: (-23/20).

We are required to calculate the simplest form of the fraction in decimals using to the long division method.

The long division method works with 4 component: dividend, divisor, quotient and remainder. And the steps to perform the long division method are as follows:

Step 1: To take the first digit of the dividend from the left and check if this digit is greater than or equal to the divisor.

Step 2: Then, to divide it by the divisor and write the answer on top as the quotient.

Step 3: To subtract the result from the digit and write the difference below.

Step 4: To bring down the next digit of the dividend (if present).

Step 5: To Repeat the same process.

Hence, converting the fraction (-23/20) to decimal values using the process of long division method mentioned above, we get (-1.15).

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Answer:

There is not a single ordered pair which is a solution to y=2x−4 .

R, S, and T are collinear . Then 13 is  the length of RS.

What do collinear points mean?

The question to know

RS + ST = RT

RS = w + 1 ,  ST = w - 1

RT = 18

2w + 1 + w - 1  = 18

3w = 18

w = 18/3

w = 6

RS = 2 * 6 + 1 = 13

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Answer: .[tex]306^{-3}[/tex]

Step-by-step explanation:

Answer: +6.03E-3

Step-by-step explanation:

[tex]0.00603=6.03*10^{-3}[/tex]

6.03*10⁻³=+6.03E-3

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]

Answer:

Step-by-step explanation:

 a : b

 9 : 6

 2 : x

Cross multiply

6*2 = 9x

12 = 9x

12/9 = x

4/3 = x

Answer:

3rd and 4th

Step-by-step explanation:

Answer:

∠C and ∠DCB and ∠BCD

Step-by-step explanation:

We can name an angle either using one letter that represents it or use all three letters together.

When we use a single letter to represent or point an angle we must choose the center letter, C in this case.

And when we use all three letter to point an angle we must place the center letter, again C in this case, in the middle

Therefore the angle can be named as

∠C or ∠DCB or ∠BCD

To stay within budget, she must use 3.9 gigabytes.

Giving the following information:

Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.

First, we need to establish the total cost formula:

Total cost= 54.5 + 5*x

x= number of gigabytes

Now, we isolate x:

74= 54.5 + 5x

19.5/5= x

3.9= x

To stay within budget, she must use 3.9 gigabytes

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Answer:

[tex]30 \div 5[/tex]

Way A

• 5 divided by 0 is 0.

• 5 divided by 3 is 0.6, flip the number, and you get 6.

Way B

• Divide 30 by 5 to get 6.