1.
Plot the figure on a graph. Label the vertices: P(-2, 4), Q(3, 4), R(3,1), S(-2,
1).
What is the shape of the figure?

Answer:

x=50

Step-by-step explanation:

50 + 2x =150

x=50

or

50+30+2x=180

x=50

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:

18

Step-by-step explanation:

Answer:

Zander ran 13 1/8 miles

Step-by-step explanation:

Manny = M

Zander = Z

Z=M(5/6)

Z=15 3/4(5/6)

Z=13 1/8

Answer:

5,326

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:

14.204 years

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

12,000 ibs = 6 ton

divide 12,000 by 2,000 to get this answer

Step-by-step explanation:

so in decimal form is 0.06 ( move two places to left)  

Answer:

hgfc

Step-by-step explanation:

nbc

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:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Answer: 20 over 4

Step-by-step explanation: me smart

Answer:

Step-by-step explanation:

The answer is 33.2

Answer:

33.2

Step-by-step explanation:

332*0.1=33.2

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:

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:

97

Step-by-step explanation:

I used the law of cosines:  [tex]t^{2} =s^{2} +u^{2} -2tu cos (t)[/tex]

Let plug the numbers in :  t^2=[tex]13^{2} +84^{2} -2(13)(84)cos (165)[/tex] which approx is 97 to the nearest inch.

The length of 't' is approximately 69 inches.

To find the length of t, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and opposite angles A, B, and C, respectively:

a²= b² + c² - 2bc cos(A)

In this case, we want to find the length of t, which is opposite to the given angle ∠T. We know that:

u = 84 inches (opposite to angle ∠U)

s = 13 inches (opposite to angle ∠S)

∠T = 165°

Let's substitute these values into the Law of Cosines:

t² = u²+ s²- 2us cos(T)

t²= (84)²+ (13)² - 2(84)(13) cos(165°)

t²= 7,056 + 169 - 2(84)(13)(cos(180°-15°))

t²= 7,225 - 2(84)(13)(cos(15°))

t²= 7,225 - 2(84)(13)(0.9659)

t²= 7,225 - 2,485.68

t² = 4,739.32

t ≈ 68.86

Rounding to the nearest inch, the length of t is approximately 69 inches.

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Answer:

21 yards

Step-by-step explanation:

There will be 21 yards in 63 feet of the measurement.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that one yard is equal to three feet. There are 63 feet of measurement.

The value of 63 feet in yards will be calculated as:-

1 yard = 3 feet

1 feet = 1 / 3  yards

63 feet = ( 63 / 3 ) yards

63 feet = 21 yards

Therefore, there are 21 yards in 63 feet of the measurement.

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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:

500,000

Step-by-step explanation:

the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.

have a wonderful  day

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.

Answer:

10

Step-by-step explanation:

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

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

Answer:

- ( x + 6) I think

Answer:

0.210 ; 0.790

Step-by-step explanation:

Given that:

Percentage of correct completion by technician = 21%

Percentage of minor error = 70%

Major error in chemical measurement of sample = 9%

A.) probability that a randomly selected technician completes preparation without error:

This is equal to the percentage of correct completion by technicians :

P(correct completion) = 21% = 0.210

B.) probability that it is completed with either a minor or major error :

P(completion with minor error) + P(completion with major error)

= 70% + 9%

= 0.70 + 0.09

= 0.790

Answer:

13 X 8

Step-by-step explanation:

Answer:

The car is 10 miles from parking lot.

Step-by-step explanation:

Given that:

The car travels 6 miles north and 8 miles east.

This forms the two legs of a right angled triangle.

The distance from car to parking lot will be hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(6)^2+(8)^2= c^2\\c^2 = 36 + 64 \\c^2 = 100[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{100}\\c=10[/tex]

Hence,

The car is 10 miles from parking lot.