Plz help with this problem

Answer:

Step-by-step explanation:

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.

So, McDonald's is out of range of the radio station.

12 (tell me if im wrong sorry if i am)

Step-by-step explanation:

Answer:

Aaron will have enough water for 3 hours. he should have 380 milliliters left.

[tex]x = 34.2[/tex]

[tex] \sin(20) = \frac{x}{100} \\ 0.3 = \frac{x}{100 } \\x = 100 \times 0.3 = 34.2[/tex]

Answer:

Step-by-step explanation:

[tex] - 1 \times ( - w) = - 8 \times 7[/tex]

[tex]1 \times w = - 8 \times 7[/tex]

[tex]w = - 8 \times 7[/tex]

[tex]w = - 56[/tex]

Answer:

62.1=3 sig fig

185.3=4 sig fig

1,760= 3 sig fig

0.06= 1 sig fig

I don't know if that's all the questions you have or you didn't get the last one In the pic

Answer:

see below

Step-by-step explanation:

We want to solve each equation for y, so y must be alone on one side of the equation.

a) 10x + 5y = 20

Subtract 10x from both sides.

5y = 20 - 10x

Place the x term in front to follow  y = mx + b form.

5y = -10x + 20

We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.

5y/5 = -10/5x + 20/5

y = -2x + 4

This equation is in slope-intercept form.

b) 3x - 2y = 10 + 4x

We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.

3x = 10 + 4x + 2y

Now we want to isolate y, so subtract 4x from both sides.

3x - 4x = 10 + 2y

Simplify.

-x = 10 + 2y

Isolate y further by subtracting 10 from both sides.

-x - 10 = 2y

Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.

-x/2 - 10/2 = 2y/2

-1/2x - 5 = y

This looks backwards (although it is in slope-intercept form), so let's rearrange it just to make it more clear.

y = -1/2x - 5

This equation is in slope-intercept form.

Hope this helps!

Answer:

f

(

x

)

=

3

cos

(

2

x

)

+

2

EXPLANATION:

We are able to use the transformation formula

f

(

x

)

=

a

⋅

cos

(

x

−

h

b

)

+

k

. You start with

f

(

x

)

=

cos

(

x

)

and replace

a

with the desired amplitude,

h

with the desired horizontal shift, and

k

with the desired vertical shift. This leaves out the

b

-value. A regular cosine function has a period of

2

π

. If you want a period of

π

, since that is one half of the original period, you need to replace your

b

with a

1

2

.

This is about how it would work out.

f

(

x

)

=

3

⋅

cos

(

x

−

0

1

2

)

+

2

From there you simplify your equation giving you

f

(

x

)

=

3

cos

(

2

x

)

+

2

Answer:

f(x) = 3 cos 2x + 2

Step-by-step explanation:

got it right on the test.

Answer:87

Step-by-step explanation:added all numbers and divided by 3

Answer:

2.25

Step-by-step explanation:

3/4 (or 0.75) plus (4 times 1 1/2) divided by 3. SO... 0.75+(4×1 1/2)÷3= 2.25

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

Answer:

5+4x=21

Step-by-step explanation:

Let's say the "number" is x.

"more than" indicates addition, and "times" indicates multiplication.

5+4x=21

Answer:

D. (-3/8) (-5/7) (-1/4)

Step-by-step explanation:

Hints:

- * - * + = +

+ * - * - = +

+ * + * + = +

- * - * - = -

A. (-3/8)(-5/7)(1/4)

= (-3*-5*1) / (8*7*4)

= 15/224

B. (3/8)(-5/7)(-1/4)

= (3*-5*-1) / (8*7*4)

= 15/224

C. (3/8)(5/7)(1/4)

= (3*5*1) / (8*7*4)

= 15/224

D. (-3/8) (-5/7) (-1/4)

= (- 3*-5*-1) / (8*7*4)

= (-15)/(224)

= -15/224

The correct option is

D. (-3/8) (-5/7) (-1/4)

Answer:

p=5

Step-by-step explanation:

a(x+y) is also (x+y)a

So if 3(n+5) has to be equivalent to (n+p)3, then p has to be 5.

---

hope it helps

Answer: she made $8.40

Step-by-step explanation: divide 42 by 5 to get your answer

Answer:

A - $8.40

Step-by-step explanation:

You would have to do 45÷5

Answer:

x=-4,3

Step-by-step explanation:

x+4=0

x=-4

x-3=0

x=3

Answer:

[tex] \sqrt{ {( - 1 - 4)}^{2} + {(2 - ( - 3))}^{2} } = \sqrt{ {5}^{2} + {5}^{2} } = 5 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

standard form is:

Ax+By=C

for problem 2:

y= 1/2 x-8

y- 1/2 x - 8= 0

rearrange:

- 1/2x + y +8 = 0

2 (- 1/2x + y + 8) = 0

-x + 2y + 16= 0

-x + 2y = -16

leading coefficient can't be negative

so multiply everything by -1

x -2y = 16

Answer:

1 yes   no

Step-by-step explanation:

1 this is in standard form as it is  a linear form and the intercepts can be found  

2 This is not  in standard form as it is a linear equation and both the x and y intercepts cant  be found  so must be written in the form AX+BY=C

so

-x + 2y = -6

and leading coefficient cant be - so multiply by -1

so

x-2y=6

Answer:

C

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.

Answer:

4

Step-by-step explanation:

half gallon is 64 oz. 256 ÷ 64 is 4

Answer

4

Step-by-step explanation:

1 gallon = 128 fluid ounces

1/2 gallon = 64 fluid ounces

Use gallons to convert 256 fl oz then multiply result by 2

256 / 128 = 2

2 x 2 = 4

4 half gallon containers

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

Answer:

4x - 9

Step-by-step explanation:

4x - 9

Answer:

(-5, 7)

Step-by-step explanation:

Translate A left 6, and up 4

Answer:

-2, -4

and

-1 1/3, -3 1/3

Step-by-step explanation:

2×x + y = -8

x - y = 2 or y - x = 2

first going for x-y=2

so, x = 2 + y

=> 2×(2+y) + y = -8

4 + 2y + y = -8

3y = -12

y = -4

=> x = 2 + -4 = -2

second going for y-x=2

-x = 2 -y

x = y - 2

=> 2×(y-2) + y = -8

2y - 4 + y = -8

3y = -4

y = -4/3 = -1 1/3

=> x = -4/3 - 2 = -3 1/3 (or -10/3)

Answer:

i think it’s the 5th one

Step-by-step explanation:

Answer:

H²=a²+b²

H²=4²+7²

H= 8.06

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Answer: 0

Step-by-step explanation: The answer is 0

Answer:

y=0

Step-by-step explanation: