Select the correct range of the function represented by the graph.

Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

Answer:14

Step-by-step explanation:

He takes 2 a week so 2 times 7 is 14

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

Answer:

The 75th term is 446

Step-by-step explanation:

Using the explict formula you get an=6n-4

you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446

Answer:

446 is the 75th term

Step-by-step explanation:

This sequence increases by 6

2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446

Answer:

8, 1 1/2 cup servings in 12 cups of juice.

Step-by-step explanation:

I just divided 12 by 1.5

Answer:

F=(9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

Simplify to 5F-160/9=c

multiply by 9 on both sides : 5F-160=9C

add 160 to both sides: 5F=9C+160

Divide by 5 on both sides: F=(9C+160)/5

Simplify: F=9/5c+32

Answer:

[tex]F=\frac{9C}{5}+32[/tex]

Step-by-step explanation:

The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.

[tex]c=\frac{5(F-32)}{9}[/tex]

To do this we first need to distribute 5.

[tex]C=\frac{5F-160}{9}[/tex]

Divide 5F-160 by 9.

[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]

We can then swap sides to make it easier.

[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]

We then add [tex]\frac{160}{9}[/tex] to each side.

[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]

We can then find F by multiplying by 9/5 or dividing by 5/9.

[tex]F=\frac{9}{5}(C+160/9)[/tex]

We then can simplify by multiplying.

[tex]F=\frac{9C}{5}+32[/tex]

:D

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

Answer:

116π

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(58)π

Circumference = 116π

-Chetan K

Answer:

44 home runs

Step-by-step explanation:

550 ÷ 25

= 22

22 x 2

= 44

Answer:

Dividing Decimals

Step 1: Estimate the answer by rounding .

Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.

Step 3: Divide as usual.

Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

Step-by-step explanation:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

Answer:

9.50

Step-by-step explanation:

needs to be 20 character

Answer:

D

Step-by-step explanation:

D is the only option where Tim has 23 or more dollars earned.

To show this I will solve each equation...

A) (-23)+9+9 = (-23)+18= -5

-5 < 0 so A doesn't work

B) (-23)+7+7+7 = (-23)+21= -2

-2 < 0 so B doesn't work

C) (-23)+12+9 = (-23)+21= -2

-2 < 0 so B doesn't work

D) (-23)+12+12 = (-23)+24= 1

1 > 0 so D does work!

* I am using 0 to compare each number with the result because Tim should have 0 or more dollars after paying his mom.

Hope this Helps!

Answer:

3 hours

Step-by-step explanation:

This is an LCM of least common multiple problem. The GCF of 60 and 45 is 15 and 45/3=3. So the LCm of these 2 numbers are 60x3=180 minutes or 3 hours

Answer:

3 hours is the answer

Step-by-step explanation:

answer

Step-by-step explanation:

I I think you have your answer now

Answer:

44

Step-by-step explanation:

4(9) + 8  

=36 + 8

=44

Answer:

21/8 yards

Step-by-step explanation:

If Sarah wants to make her own costume she will need 21/8 yards of yarn.

To get this, you multiply 2 by 8 and get 16.

Next, you will add 5 onto 16 and get 21.

Keep your 21 and put is as your numerator.

Now take your 8 and put it as your denominator.

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

Answer:

1) 1(1/32)

2) 1.8

Step-by-step explanation:

2(3/4)=11/4

2(2/3)= 8/3

(11/4)/(8/3)=33/32

33/32= 1(1/32)

1(4/5)=9/5

9/5=1.8

Answer:

202

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve:

(a+b+c) (a+b-c)=

(a²+ab-ac+ab+b²-bc+ac+bc-c²)=

a²+ab-ac+ab+b²-bc+ac+bc-c²=

a²+2ab+0ac+b²+0bc-c²=

a²+2ab+b²-c²

Answer:

The answer is a² + 2ab + b² - c²

Step-by-step explanation:

(a + b + c) × (a + b - c)

a² + ab - ac + ba + b² - bc + ca + cb - c²

a² + ab + ba - ac + ca + b² - bc + cb - c²

a² + 2ab + b² - c²

Thus, The answer is a² + 2ab + b² - c²

-TheUnknownScientist 72

Answer:

Option D

Step-by-step explanation:

We convert 5 2/3 into an improper one:

17/3

There are 5 people in his family

17/3 * 1/5 = 17/15

So option D

Answer:

-24x - 38y

Step-by-step explanation:

[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]

Answer:

Step-by-step explanation:

4(3x+2y)+6(−2x−5y)

Use the distributive property to multiply −4 by 3x+2y.

−12x−8y+6(−2x−5y)

Use the distributive property to multiply 6 by −2x−5y.

−12x−8y−12x−30y

Combine −12x and −12x to get −24x

−24x−8y−30y

Combine −8y and −30y to get −38y.

and you get −24x−38y

hope it helps

Answer:

-6(x=4)(2x+1)

Step-by-step explanation:

Just multiply -2 x 3

Hope this helps! :)

Answer:

[tex](\frac{a}2;\frac{a}2)[/tex]

Step-by-step explanation:

You simply need to apply the formula for the midpoint of a segment - which is provided.

[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]