We walked down the path to the well-house, attracted by the fragrance of the honeysuckle with which it was covered. Some one was drawing water and my teacher placed my hand under the spout. As the cool stream gushed over one hand she spelled into the other the word water, first slowly, then rapidly. I stood still, my whole attention fixed upon the motions of her fingers. Suddenly I felt a misty consciousness as of something forgotten—a thrill of returning thought, and somehow the mystery of language was revealed to me. I knew then that "w-a-t-e-r" meant the wonderful cool something that was flowing over my hand. That living word awakened my soul, gave it light, hope, joy, set it free!
From Helen Keller, The Story of My Life
Based on this excerpt, what can you conclude about Helen Keller?

Answer:

divide the least common denominator by the original denominator

Answer:

483960

Step-by-step explanation:

484848

-     888

______

483960

Answer:

(I will only answer one and I think my explanation can help you understand so you do it yourself) For number 8: the slope-intercept form is: y=-1/3x-11

Step-by-step explanation:

x+3y=-33
3y=-x-33(take away x from both sides of the = sign)

y=-1/3x-11(divide 3 on both sides of the = sign)

Answer:

Step-by-step explanation:

✓ Step-by-step explanation:commission earned = 60% of $800800 × 60/100 = $480

The Commission (in dollars) he earn last month is $480.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A salesman earns 60% commission on all the merchandise that he sells. Last month he sold $800 worth of merchandise.

So, the Commission he earns

= 800 + 800 x 60%

= 800 + 800 x 60/100

= 800 + 480

= 1280

Hence, the commission is $480.

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The fifth angle measure of the polygon is 112°

Since a pentagon is made up of three triangles, its total angles are 3 * 180 * 540. The following formula may be used to get the pentagon's total interior angles: We are aware that the interior angle sum of a polygon with n sides is equal to (n - 2) 180°.

Let the missing angle be x.

The sum of the angles of pentagon is 540°

540 = 100 + 103 + 111 + 114 + x

540 = 428 + x

x = 540 - 428

x = 112

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Answer:

(1) or A or whatever lol

Step-by-step explanation:

basically just plug the number in, set them equal to each other, and see if the equation is true...

1/2(-2)+3=|-2|

-1+3=2

2=2

1/2(2)+3=|2|

1+3=2

4=2

1/2(3)+3=|3|

1.5+3=3

4.5=3

1/2(-6)+3=|-6|

-3+3=6

0=6

the only one that is a true statement is x=-2

Answer:

-2

Step-by-step explanation:

just had the same question

Answer:

The number of cubic feet of water needed to fill the tank is \(216 \mathrm{ft}^{3}$\)

The number of cubic yards of water needed to fill the tank is \(8 \mathrm{yd}^{3}\)

Step-by-step explanation:

Given

A tank is in the shape of a cube with edge lengths of 6 feet.

Step 1 of 2

The volume of a cube with edge length \($e$\) is given by:

\(V=e^{3}\)

Given that \($e=6 \mathrm{ft}$\), the number of cubic feet of water needed to fill the tank is:

\(V=6^{3}\)

\(V=216 \mathrm{ft}^{3}\)

Step 2 of 2

The number of cubic yards of water needed to fill the tank is

\(V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}\)

\(=8 \mathrm{yd}^{3}\)

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The computer can occupy a maximum of 1200 bytes of memory.

To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.

If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.

The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.

Hence, the maximum memory capacity this computer can occupy would be 300 memory words.

To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:

300 memory words * 4 bytes per word = 1200 bytes.

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Answer: Parallelogram JKLM is shown on the coordinate plane below:

Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.

If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

J′(−2, −6); M′(1, −5)

J′(6, 2); M′(−5, 1)

J′(2, 6); M′(−1, 5)

J′(6, −2); M′(5, 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

is the question complete?

It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Solution :

Given :

There are five cities in a network and the cost of \(\text{building}\) a road directly between \(i\) and \(j\)  is the entry \(a_{i,j}\)

\(a_{i,j}\)  refers to the matrix.

Road cannot be built because there is a mountain.

The given matrix :

\(\begin{bmatrix}0 & 3 & 5 & 11 & 9\\ 3 & 0 & 3 & 9 & 8\\ 5 & 3 & 0 & \infty & 10\\ 11 & 9 & \infty & 0 & 7\\ 9 & 8 & 10 & 7 & 0\end{bmatrix}\)

The matrix on the left above corresponds to the weighted graph on the right.

Using the \(\text{Kruskal's algorithm}\) we can select the cheapest edge that is not creating a cycle.

Starting with 2 edges of weight 3 and the edge of weight 5 is forbidden but the edge is 7  is available.

The edge of the weight 8 completes a minimum spanning tree and total weight 21.

If the edge of weight 8 had weight 10 then either of the edges of weight 9 could be chosen the complete the tree and in this case there could be 2 spanning trees with minimum value.

Answer:

y = -1/6x + 2

Step-by-step explanation:

To find the slope of a perpendicular line, you take the opposite reciprocal

6x -> -1/6x

y = -1/6x + 2

Answer:

The measures of the angles are 16° and 164°.

Step-by-step explanation:

Let the smaller angle be x and the larger angle be 8x+36.

Supplementary angles add up to 180°.

Small angle + Large angle = 180°

x + 8x + 36 = 180

9x + 36 = 180

9x = 180 - 36

    = 144

x = 144 ÷ 9

x = 16

8x+36 = 8(16)+36

           = 164

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

x = -7

Step-by-step explanation:

The 2 horizontal lines are parallel as given ion the problem.

The x + 97 angle is congruent to the right angle.

x + 97 = 90

x = -7

Answer:

A).

Step-by-step explanation:

Add 3 to the x values and subtract 1 from the y's.

For example  A ( -5, 1 ) ---->  (-5+3, 1 -1 ) ---> (-2, 0).

Answer: 17 9/11

Step-by-step explanation:  5.5/3.5 = 28/x

3.5 * 28 = 98 / 5.5 = 17 9/11

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Answer:

y = -\(\frac{1}{2}\)x - 4

Step-by-step explanation:

2y + x = -8

2y = -x - 8

\(\frac{2y}{2}\) = \(\frac{-x - 8}{2}\)

y = -\(\frac{1}{2}\)x - 4

y = \(\frac{-1}{2} x - 4\)

Step-by-step explanation:

10-2=8 has the difference of 8

The difference of two numbers is obtained using the subtraction operation ; Hence, two numbers whose difference gives a value of 8 are 16 and 8.

There are many possible values where, the value of the two numbers will give a value of 8.

They include;

Therefore, two numbers whose difference gives a value of 8 are 16 and 8.

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Answer:

18 + v = 67

Step-by-step explanation:

v represents Victor's age, and 18 more than it is 67.

Add 18 to Victor's age, resulting in 67.

The equation is 18 + v = 67.

Answer: $120

Step-by-step explanation:

This is fairly easy if you use this solution to solve it

Take the $150 and multiply by 0.8

You multiply by 0.8 because you do

1-0.20 (20% off) to get 0.8

The equation will look like

$150(0.8)=$120

Answer:

A. 4.71cm²

Step-by-step explanation:

Area of a sector = π(radius²)(angle/360)

=π(3²)(60/360)

=(9)(1/6)π=4.71238898038

Answer: -3

Step-by-step explanation:

Answer:

the constant in this expression is 3

Step-by-step explanation:

the constant is a single number

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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