Which is the graph of y=(x-2)^2+4?

Answer:

209

Step-by-step explanation:

the Nth term is 4n plus 1

substitute 52 into n

4 times 52 is 208

208 plus 1 is 209

Answer:

201

Step-by-step explanation:

52 (amount of terms) - 2 (terms shown other than 5) = 49 * 4 = 196 + 5 = 201

9514 1404 393

Answer:

  2n/2^n

Step-by-step explanation:

It appears that the terms are ...

  [tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]

That is, the numerator is counting numbers, and the denominator is powers of 2.

  [tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table

m = [tex]\frac{-17-(-42)}{-3-(-8)}[/tex] = [tex]\frac{-17+42}{-3+8}[/tex] = [tex]\frac{25}{5}[/tex] = 5

The line crosses the y- intercept at (0, - 2 ) , then

y = 5x - 2 → C

Answer:

C. y=5x-2

Step-by-step explanation:

Put the numbers in the x column in the x of the equation and do the same for y. Solve, and if both sides are equal, the equation is correct.

You can use any set of x and y and try each equation till you find the right one. (0,-2) would be the easiest, because you can just make x=0, but you have to test the correct equations again with a different set after. {I used (-8,-42).}

Answer:

A and C

Step-by-step explanation:

The distance between P and Q is 14.

With the first one the absolute value is of -8 is 8 and 8+5 is 14 so that's right.

The third one subtracting a negative is like adding a positive. So it would be 5+8 which is also 14.

The other to equal 3 and -3 which is wrong.

Answer:

One can be 95% confident that the drive-through service times of​ fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)

Answer:

B

Step-by-step explanation:

120/360  54

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

[tex](n+2)^{2} = n^{2} + (n+1)^{2}[/tex] (1)

Donde [tex]n[/tex] es un número natural.

A continuación, expandimos la expresión y resolvemos:

[tex]n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1[/tex]

[tex]n^{2}-2\cdot n -3 = 0[/tex]

[tex](n -3) \cdot (n+1) = 0[/tex]

La única solución factible es [tex]n = 3[/tex]. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Answer:

x = 3

Step-by-step explanation:

Given

4 - [tex]\frac{6}{9}[/tex] = [tex]\frac{1}{3}[/tex] + x ( multiply through by 9 to clear the fractions )

36 - 6 = 3 + 9x

30 = 3 + 9x ( subtract 3 from both sides )

27 = 9x ( divide both sides by 9 )

3 = x

Answer:

c. 70

Step-by-step explanation:

Laura’s steps are 70cm, and she takes 80 steps, which would give her a total length of 5600cm. Kara’s steps are 80cm, so we have to divide 5600cm by 80cm. This means Kara takes 70 steps to walk across the park.

Answer:

A. -6;1

Step-by-step explanation:

h(x) = x² + 5x - 6

D=25+24=49=7²

[tex]x_{1} =\frac{-5-7}{2}=-6\\[/tex]

[tex]x_{2} =\frac{-5+7}{2}=1[/tex]

Answer:

A) up 5 units

Step-by-step explanation:

Given

See attachment for grid

Required

Which places ABCD in a quadrant

Considering vertical movements

From the x-axis, the distance between each point and the line of the x-axis is (the y coordinates):

[tex]A = -4[/tex]

[tex]B =3[/tex]

[tex]C = 7[/tex]

[tex]D = -2[/tex]

Considering the highest magnitudes in the positive and negative column, we have:

[tex]A = -4[/tex] and [tex]C = 7[/tex]

[tex]A = -4[/tex] means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;

[tex]4 + 1 = 5[/tex]

Hence, 5 units upward -- This represents option (a)

[tex]C = 7[/tex] means that a downward movement by (7 + 1) units will move ABCD completely in a quadrant

[tex]7 + 1 = 8[/tex]

Hence, 8 units downward

Consider horizontal movements

From the y-axis, the distance between each point and the line of the x-axis is (the x coordinates):

[tex]A = -8[/tex]

[tex]B = -6[/tex]

[tex]C = -3[/tex]

[tex]D =-2[/tex]

Considering the highest magnitudes in the positive and negative column, we have:

[tex]A = -8[/tex]

[tex]A = -8[/tex] means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;

[tex]8 +1 = 9[/tex]

Hence, 9 units upward

(a) answers the question

Answer:

[tex]\sqrt{21}[/tex], π, [tex]\sqrt{75}[/tex]

Step-by-step explanation:

this set contains only irrationals

Answer:

130

Step-by-step explanation:

(6-2)180=720

720-590=130

Answer:

length - 80

width - 80

Step-by-step explanation:

95*2 = 190

65*2 = 130

190+130 = 320

320/4 = 80

80 x 80 = 6400

95 x 65 = 6175

6400 > 6175

80 x 4 = 320 = both perimeters

The solution of expression [tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex] by using the BODMAS rule would be [tex]- 0.05.[/tex]

Used the concept of the BODMAS rule which states that,

The correct order in which to solve maths problems. Bodmas stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

Given that the expression is,

[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]

Solve the above equation by using the BODMAS rule,

[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]

It can be written as,

[tex]0.1 \times [- 0.9 + (- 0.2 \div - 0.5)][/tex]

[tex]0.1 \times [- 0.9 + 0.4][/tex]

[tex]0.1 \times - 0.5[/tex]

[tex]- 0.05[/tex]

Therefore, the solution of the expression is [tex]- 0.05.[/tex]

To learn more about the BODMAS rule visit:

https://brainly.com/question/29626868

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Answer: 16

Step-by-step explanation:

12+4= 16

Answer:

656 students

Step-by-step explanation:

18% of 800 is 144, and 800-144= 656 :)

Answer:

19

Step-by-step explanation:

a-b=3 ab=5

a²+b² = (a-b)²+2ab ( a general formula)

= 3²+2×5

=9+10 = 19

Answer:

3

Step-by-step explanation:

3 is the A value.

Answer:

358,002,479

Step-by-step explanation:

This is what it is.

Answer: 358,002,479

Step-by-step explanation:

First, you have 358 million, or 358,000,000.

Next, you have 2,000. You can add that to 358,000,000 and you get 358,002,000.

Finally, you have 479. You can add that to 358,002,000, and get 358,002,479.

Here's a visual representation:

  358,000,000

              2,000

+                 479

  358,002,479

Answer:

y=-0.5x+8

Step-by-step explanation:

stat, or just rise over run

Answer:

20%

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 750 × 20/100

Discount = 750 x 0.2

You save = $150.00

Final Price = Original Price - Discount

Final Price = 750 - 150

Final Price = $600.00

Answer:

20%

Step-by-step explanation:

Just multiply 750 by 20%, and you will get 150. Subtract and you will get 600. That means my answer is correct.

Good Luck!

Answer:

A.    After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.    2.86 sec is the time it takes to hit the ground

Step-by-step explanation:

A.   let h = 15

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = .25

After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.  (I will let you do that)

t = 2.85929...    or t = -.10929...

t cannot be negative, so 2.86 sec is the time it takes to hit the ground

The answer of A is  After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.

A.   let h = 15

[tex]ax^2+bx+c=0[/tex]

a, b, c = known numbers, where a ≠ 0

x = the unknown

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = 0.25

After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.

t = 2.85929...    or t = -.10929...

t cannot be negative, So 2.86 sec is the time it takes to hit the ground.

To learn more about the quadratic equation visit:

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Answer:

8 units

Step-by-step explanation:

distance= sqrt((x2-x1)^2+(y2-y1)^2))

sqrt((5-(-3))^2+(4-4)^2))

sqrt(5+3)^2+(4-4)^2)

sqrt(8^2+(4-4)^2)

sqrt(64+(4-4)^2)

sqrt(64+0^2)

sqrt(64+0)

sqrt(64)

sqrt(8^2)

8

Answer:

9.09%

Step-by-step explanation:

Area of a rectangle = length x breadth

to determine the answer, i would use an example

Assume length = 10

breadth 20

Area = 10 x 20 = 200

If the length is increased by 10%, the new length becomes = 1.1 x 10 = 11

11 x b = 200

b = 200/11 = 18.181818

Percentage reduction = (18.181818 / 20) - 1 = 0.0909 = 9.09%

Answer:

the solution to the system of equations is (8,10).

Answer:

#1: 751.56 mm²

#2: 477 km²

Step-by-step explanation:

First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).

1/2(3.14 * (12.5)²)

12.5 squared is 156.25.

1/2(3.14 * 156.25)

Multiply 3.14 by 156.25 to get 490.625.

1/2(490.625)

Divide 490.625 by 2 to get 245.3125.

245.3125 mm² for the semicircle

Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.

(12.5 * 25) + 1/2(31 * 12.5)

Multiply 12.5 by 25 to get 312.5.

312.5 + 1/2(31 * 12.5)

Multiply 31 by 12.5 to get 387.5.

312.5 + 1/2(387.5)

Multiply 1/2 by 387.5 to get 193.75

312.5 + 193.75

Add 312.5 and 193.75 to get 506.25.

506.25 mm² for the rest of the figure.

Now add the two measures, and you have your answer for #1.

245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².

The area of the composite figure is 751.56 mm².

Now for #2. First, find the area of the triangle.

1/2(40 * 27)

Multiply 40 by 27 to get 1080.

1/2(1080)

Multiply 1/2 by 1080.

590 km² for the triangle.

Now find the area of the circle.

3.14 * 6²

3.14 * 36

113.04 km² for the circle.

Now subtract the area of the circle from the area of the triangle.

590 - 113.04

476.96 km², which rounds to 477.0 km².

The area of the shaded region is 477 km².

Answer:

Step-by-step explanation:

#1

We can separate the figure into 3 parts and sum the areas.

Semicircle with radius 12.5 mm:

Rectangle with sides 12.5 mm and its double size:

Triangle with height 12.5 mm and base 30 mm:

Sum of the three:

#2

The shaded region is the difference of the areas of the triangle and the circle

Triangle:

Circle:

Shaded region: