8. You have 51 coins made up of dimes
and nickels. The coins total $4.55.
How many coins are dimes? How
many are nickels?

Given:

The equation of a function is

[tex]y=(x-4)^2+1[/tex]

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

[tex]y=(x-h)^2+k[/tex]        ...(i)

Where, (h,k) is vertex of the parabola.

We have,

[tex]y=(x-4)^2+1[/tex]         ...(ii)

From (i) and (ii), we get

[tex]h=4, k=1[/tex]

The vertex of the parabola is (4,1).

Now, the table of values is

x             y

2            5

3            2

4             1

5            2

6            5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

Answer:

5,326

Step-by-step explanation:

Answer:

I think y and z = 45

Answer: 20 over 4

Step-by-step explanation: me smart

Answer:

Why yes he is

Step-by-step explanation:

David is the reincarnation of Albert Einstein and so has achieved the knowledge of all the great minds. Therefore he is correct

Answer:

160

Step-by-step explanation:

First, lets assign a varible x. Let x be the number where 75% of x is 120. Next, we can convert the words of the problem into an equation. Now we have, 75% * x = 120 = 0.75x = 120. By multiplying both sides by 100, we get, 75x = 12000. So, x = 160.

Answer:

Ummm WHAT! IS THIS FREE POINTS?!

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

0.88 = 88%

0.178 = 17.8%

Therefore, 0.178 < 0.88

Answer:

B. (2,1)

Step-by-step explanation:

Substitute the first value from the parentheses for x, and the second value for y in the equation.

Calculate.

If the answer is true, the point is a solution on the line.

3(2) -5(1) = 1

6 –5 = 1

1 = 1. True. point B is a solution on the line.

D* for example:

3(2) -5(3) = 1

6 - 15 = 1

–9 = 1 False. This is not a solution on the line.

You get the idea. The others are also false.

Answer:

Hurricanes, Sinkholes, Humans Impact, and Glaciers are contributory agents to the issues of coastal erosion.

Explanation

1) Hurricanes:

Sea levels can be rapidly elevated during a storm surge caused by hurricanes and extratropical storms. These spike in sea levels are directly related to severe erosion of shorelines which is estimated to cost about 3-5 billion US dollars annually.

2) Sinkholes:

in 2013, about 328 feet of the beach collapsed in Candelaria, Zambales over a  weekend creating an unsafe environment for residents and tourists. Their scientists suspected that it was due to a sinkhole. The collapse had deepened the shoreline by at least 1 meter.

3) Human Impact:

Sand mining from riverbeds and beaches, erection and construction of structures in coastal areas (like seawalls, jetties, breakwaters, etc), land reclamation along coastal fronts are all causes of coastal erosion.

In 2018, India reported massive erosion to its coastline. At that time, she had lost a whopping 33% of her shoreline over a space of 26 years. This is an average of 1.3% annually. Much of this loss was attributed to the increasing number of construction activities in such areas, damming of rivers (which prevented the rivers from carrying sediments to its coast which creates a balance), sand mining, and destruction of mangroves, etc.

4) Glaciers:

A Glacier is a moving body or river of ice that moves relatively slowly. It is formed by the gradual accumulation of compacted snow on mountains or near the poles. Glaciers have been known to move as fast as 30 meters per day. They can also be as slow as 0.5 meters per year. On average, you probably will record 25 centimeters of daily movement.

Combined with its gradual motion, the weight of a glacier could dramatically transform the terrain over a period spanning hundreds or even thousands of years. The weight of a glacier is very crushing. It is estimated at about 2 thousand tonnes.

As this huge weathering machine moves over land surfaces, expanding and contracting with weather fluctuations, the rocks underneath are disintegrated systematically into soil and shipped far from their points of origin.

The ice erodes the land surface and carries the broken rocks and soil debris far from their original places, resulting in some interesting glacial landforms.

Moving glaciers rip out of basins and create mountain valleys with sloping cliffs. Interesting historical examples of what Glaciers can do can be found in Scandinavia where it created fjords and deep inlets along its coast. It is also interesting to note that the shape of Cape Cod which looks like a  fishhook was carved by the snout of a glacier.

Cheers

Answer:

sinkholes and coastal erosion EDGE2021

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is a right triangle. The hypotenuse is 6+9=15.

Pythagorean Theorem: 9² + ?² = 15²

?² = 15² - 9² = 225 - 81 = 144

? = √144 = 12

Answer:

13 X 8

Step-by-step explanation:

Answer:

149

Step-by-step explanation:

If you order the numbers from smallest to biggest and then find the middle number it is 149

Answer:

Median is 149

Step-by-step explanation:

just sum extra info lol<3

min is 144

mean is 150

max is 160

so in order: 144,145,147,148,149,150,152,155,160

hope i could help:)

Answer:

y = -5x + 8

Step-by-step explanation:

Slope-intercept form = ('y = x + b')

x being slope; b being the y-intercept.

Slope = rise/run (or y/x)

Take for example the point on the y-intercept, find the next intercepting point.

(0, 8); (1, 3)

In these points, y (rise/fall) decreases by 5. x increases by 1. Using rise/run (or y/x), we conclude that the slope is -5\1.

I mean break it down 500 is well, hundreds 20 is tens and 0 is ones then you have .3 in tenths and .04 in hundredths, not that complicated.

Answer:

The answer is "6.212".

Step-by-step explanation:

A few of the information is missing throughout this question, therefore the solution could be defined as follows:

In this question, the value of its testing dataset to determine unless the connection is clinically meaningful from both the Means and standard deviations is 6.212 from its test statistics.

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

Answer:

The simplified expression is 6k+19 .

Step-by-step explanation:

Answer:

hgfc

Step-by-step explanation:

nbc

Answer:

[w-v]           b is answer

Step-by-step explanation:

How many more votes the winner received than the loser can be thought of as the distance between the two numbers of votes on the number line.

Hint #22 / 5

The distance between two numbers is equal to the absolute value of their difference.

For example, | a - b|∣a−b∣vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.

Hint #33 / 5

We want to find the distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af.

Hint #44 / 5

The distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af is |\blue{w} - \pink{v}|∣w−v∣vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, vertical bar or |\pink{v}-\blue{w}|∣v−w∣vertical bar, start color #ff00af, v, end color #ff00af, minus, start color #6495ed, w, end color #6495ed, vertical bar.

Hint #55 / 5

\left\lvert \blue w- \pink v\right\rvert∣w−v∣open vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, close vertical bar always represents how many more votes the winner received than the loser.

The expressions that always represents how many more votes the winner received than the loser will be Choice b .∣w−v∣

Cicero and Themistocles run for the same political office. Cicero received www votes in the election and Themistocles received vvv votes.

This can be thought of as the distance between the two numbers of votes on the number line.

Here, The distance between two numbers is equal to the absolute value of their difference.

For example; | a - b| vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.

Hence, the expressions that always represents how many more votes the winner received than the loser will be Choice b .∣w−v∣

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Answer:

7/20 of the lawn still needs to be mowed.

The son mowed most of the lawn 7/20 of the lawn still needs to be mowed.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Mrs. jones mowed 2/5 of her lawn and her son mowed 1/4 of it.

Now, Size of the lawn mowed by Miss Jones = 1/4

And, Size of the lawn mowed by her son = 2/5

To know who mowed the most lawn, find the LCM of the denominators.

The LCM of 4 and 5 = 20

Make the denominators of both fractions to be 20

Hence, Size of the lawn mowed by Miss Jones = 1/4 x 5/5 = 5/20

And, Size of the lawn mowed by her son = 2/5 x 4/4 = 8/20

Since, 8/20 > 5/20, Miss Jones son mowed more part of the lawn than Miss Jones.

Hence, The part of the lawn still needs to be mowed is,

⇒ 1 - 1/4 - 2/5

⇒ 7/20

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Answer:

Options (2), (4) and (6)

Step-by-step explanation:

Option (1)

[tex]8^{-1}=\frac{1}{8}[/tex]

Not equivalent to [tex]\frac{1}{81}[/tex].

False.

Option (2)

[tex]9^{-2}=\frac{1}{9^2}[/tex]

      [tex]=\frac{1}{81}[/tex]

True.

Option (3)

[tex]\frac{9^{8}}{9^{4}}=9^{(8-4)}[/tex]

    [tex]=9^{4}[/tex]

    = 6561

False.

Option (4)

[tex]\frac{9^8}{9^{10}}=9^{8-10}[/tex]

     [tex]=9^{-2}[/tex]

     [tex]=\frac{1}{81}[/tex]

True.

Option (5)

[tex]9^{-6}9^{3}[/tex] = [tex]9^{-6+3}[/tex]

         = [tex]9^{-3}[/tex]

         = [tex]\frac{1}{9^3}[/tex]

         = [tex]\frac{1}{729}[/tex]

False

Option (6)

[tex]9^{5}9^{-7}=9^{(5-7)}}[/tex]

          [tex]=9^{-2}[/tex]

          [tex]=\frac{1}{9^2}[/tex]

           [tex]=\frac{1}{81}[/tex]

True.

Therefore, Options (2), (4) and (6) are the correct options.

Applying the negative exponent rule of power, the expressions that are equivalent to the given expression, 1/81, are: B, D, and F.

The negative exponent rule states that: [tex]a^{-n} = \frac{1}{a^n}[/tex].

Thus, given the expression, 1/81, it can be rewritten or simplified as follows:

1/81 = [tex]81^{-1} = 9^{-2}[/tex] = [tex]\frac{9^8}{9^{10}}[/tex] = [tex]9^5 \times 9^{-7}[/tex]

The expressions that will be equivalent to 1/81 can be expressed, based on the negative exponent rule of power, as:

[tex]9^{-2}, \frac{9^8}{9^{10}} , 9^5 \times 9^{-7}[/tex] (option B, D, and F).

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Answer:

30

Step-by-step explanation:

100% of 15 is 15

200% is 15 + another 100% (15)

15+15 = 30

Answer:

keith buy 11 pencils at the cost of 165 paise

Step-by-step explanation:

6 pencils cost = 90 paise

so 1 pencil cost = 15 paise

Answer:

10

Step-by-step explanation:

Answer:

The answer is "Option C".

Step-by-step explanation:

Given:

[tex]\to f(x)=2x^2-3x+1\\\\when \ x=1\\\\\to f(1)= 2(1)^2-3(1)+1\\\\\to f(1)= 2(1)-3+1\\\\\to f(1)= 2-3+1\\\\\to f(1)=-1+1\\\\\to f(1)=0[/tex]

That's why choice C is correct.

Answer:

648 inches

Step-by-step explanation:

12 + 6 = 18 yards

there are 36 inches in 1 yard

so there is 648 inches in 18 yards

Answer:

she has 18 yards of fabric all together