What is the distance between the bank and Hiroto's house on the map?

Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)

your ans is here........

Given:

The parent function is:

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

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex]                 ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.

Answer:

the answer is 28.8 billion plastic bottles

Answer:

28.8 million

Step-by-step explanation:

24 hrs in one day - 1.2 M*24=28.8 M

Answer:

100+15p < 25p

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

total cost of travelling = cost to rent a bus + total cost of ticket for p persons

100 + 15p

they want to spend less than an average cost of 25 per p people

they want to spend less than 25p

since they dont want to spend less than 25p, < would be used

100+15p < 25p

Answer:

b is the right answer

Step-by-step explanation:

Answer:

a.y=-x½+5

Step-by-step explanation:

from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½

Answer:

7.874 inches

Step-by-step explanation:

20/2.54=7.874

Answer:

7.87

Step-by-step explanation:

1/x = 2.54/20

2.54x = 20

x = 20/2.54

x = 7.87401574803

x = 7.87

Answer:

C. (1, -2)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).

∴ our answer is C.

Answer:

C. (1,-2)

Step-by-step explanation:

with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)

hope this helps! lemme know if you need more

Step-by-step explanation:

the answer is in the above image

please give me brainliest

Answer:

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer:

3

Step-by-step explanation:

base = 4-1

= 3

height = 3-1

= 2

Area = 1/2 (b)(h)

= 1/2 (3)(2)

= 3

therefore the answer is 3 square unit

7/10= 28/40

5/8=25/40

0.8=4/5=32/40

32>28>25

So 0.8>7/10>5/8

Answer:

3x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You have [tex]\frac{27x}{9x}[/tex]

You can factor out the x in the numerator and denominator to get [tex]\frac{27}{9}[/tex]

You can further simplify this by factoring out a 9 => [tex]\frac{3(9)}{(9)}[/tex]

Thus getting 3

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Answer:

220.4 feet below sea level

Step-by-step explanation:

use the following formula:

rate x time = distance

(rate going down)(time going down) = distance going down.

so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:

(2.2 ft/sec)(91 seconds) = distance of 198 feet.

she then ascends for 32 seconds at a speed of 0.7 feet/second.

so, substitute that;

(0.7 ft/sec)(32sec) = distance of 22.4 feet.

distance traveled downward + distance traveled upward = total distance of location.

198 + 22.4 feet = 220.4 feet

Answer:

C. 8

Step-by-step explanation:

Options

A. 5

B. 6

C. 8

D. Can't say without knowing the number of participants

Number of sweet distributed = Total number of sweets - left over sweets

= 1025 sweets - 1 left over sweet

= 1024 sweets

Number of participants = Number of sweets distributed / number of sweets given to each participant

A. 5

Number of participants = Number of sweets distributed / number of sweets given to each participant

= 1024 /5 Sweets

= 204.8 participant

B. 6

Number of participants = Number of sweets distributed / number of sweets given to each participant

= 1024/6

= 170.67 participant

C. 8

Number of participants = Number of sweets distributed / number of sweets given to each participant

= 1,024/8

= 128 participant

D. Can't say without knowing the number of participants

From the options given, the number of sweets given away to each participant could be 8

Number of sweets given to each participants is 32.

Since, A sports teacher had 1025 sweets and he had one sweet left after distributing.

So, number of sweets he distributing is, [tex]1025-1=1024[/tex]

Since, distributing these equally amongst all the participants

Therefore, number of sweets given to each participants is, [tex]=\sqrt{1024}=32[/tex]

So, total number of participants is 32 and number of sweets given to each participants is 32.

Learn more about square root here:

https://brainly.com/question/11388449

Answer:

x > 27

Step-by-step explanation:

x/9 + 7 > 10

Subtract 7 from goth sides.

x/9 > 3

Multiply both sides by 9.

x > 27

Step-by-step explanation:

[tex]x + 3y = 1 \\ - 3x - 3y = - 15 \\ x = 1 - 3y \\ - 3(1 - 3y) - 3y = - 15 \\ - 3 + 9y - 3y = - 15 \\ - 3 + 6y = - 15 \\ 6y = - 15 + 3 \\ 6y = - 12 \\ y = - 2[/tex]

[tex]y = - 2 \\x = 1 - 3y \\ x = 1 - 3( - 2) \\ x = 1 + 6 \\ x = 7[/tex]

Answer:

(2, -3)

Step-by-step explanation:

YEAH

Answer:

x=2; y=-3

Step-by-step explanation:

Answer:

y = 360 (1.03)^x

Step-by-step explanation:

Amount in account = principle * (1+ rate) ^ time

When the interest is annual

rate is in decimal form and time is in years

y = 360 ( 1+.03) ^x

y = 360 (1.03)^x

Answer: 24, b

Step-by-step explanation:

So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.

Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.

So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.

Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.

Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.

Answer:

There are 5 sides in the polygon.

Total perimeter of the polygon is 12.5 cm and it is a regular polygon.

Each side of the polygon is 2.5 cm.

So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5

Hence, the polygon has 5 sides and it is a regular pentagon.

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

x ≈ 10.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos42° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{14}[/tex] ( multiply both sides by 14 )

14 × cos42° = x , then

x ≈ 10.4 ( to the nearest tenth )

Answer:

For A I'd say about 100° and for B about 150° (This is just my estimation)

Step-by-step explanation:

A is almost a right angle but a little more than 90°.

B is almost a straight/flat angle but it's less than 180°.

Answer:

a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)

b. around 230

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The triangles do have equal angles and proportional sides, because they are bot right triangles formed on parallel lines.

:)ur welcome

Answer: Choice B

Yes. Right triangles formed on parallel lines have proportional side lengths and congruent angles.

====================================================

Explanation:

Parallel lines always have equal slopes, but different y intercepts.

Recall that slope = rise/run.

The "rise" is the vertical portion of the triangle, while the "run" is the horizontal portion.

So let's say we had a slope of rise/run = 2/3. This means rise = 2 and run = 3.

If we had something like rise/run = 4/6, then that reduces to 2/3, showing that 4/6 = 2/3. They are the same slope.

We can use the SAS similarity theorem to prove the triangles formed in the diagram are congruent based on what is discussed above.

Because the triangles are similar, this means the corresponding angles are congruent. One such pair is the pair of right angles shown.

Answer:

dude if they have a pattern they are a function figure it out from there