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The equation that represents the total distance they have driven, d, in terms of the number of hours since noon, h is:

d = 65h + 50

The equation that represents the total distance that the family traveled must show the initial distance they started with, the velocity at which they are traveling and the time they have covered.

The initial distance that they started with is = 50 miles

The velocity at which they are traveling is 65miles/hr

Therefore the total distance they have driven, d, in terms of the number of hours since noon, h

= 65h + 50

Therefore, the third option is correct.

Learn more about distance traveled here:

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Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1   (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

Answer:16

Step-by-step explanation:

Answer:

A=2m⁴+17m³+11m²+24m

Step-by-step explanation:

The area of rectangle is length × width

A=LW

A=(m+8)(2m³+m²+3m)

A= 2m⁴+m³+3m²+16m³+8m²+24m

A=2m⁴+m³+16m³+3m²+8m²+24m

A=2m⁴+17m³+11m²+24m

Answer: 48 minutes

Step-by-step explanation:

Tyler practised only 64% as much as Han did.

The amount of time Tyler practiced is:

= 75 * 64%

= 48 minutes

Answer:

67[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Assuming you require to simplify the expression.

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{72}[/tex] = [tex]\sqrt{36(2)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex]

[tex]\sqrt{242}[/tex] = [tex]\sqrt{121(2)}[/tex] = [tex]\sqrt{121}[/tex] × [tex]\sqrt{2}[/tex] = 11[tex]\sqrt{2}[/tex]

Then

2[tex]\sqrt{72}[/tex] + 5[tex]\sqrt{242}[/tex]

= 2(6[tex]\sqrt{2}[/tex] ) + 5(11[tex]\sqrt{2}[/tex] )

= 12[tex]\sqrt{2}[/tex] + 55[tex]\sqrt{2}[/tex]

= 67[tex]\sqrt{2}[/tex]

Answer: [tex]x=\frac{\pi}{4}\ or\ \frac{7\pi}{4}[/tex]

Step-by-step explanation:

Given equation is

[tex]\sqrt{2}\cos x-1=0[/tex]

solving this

[tex]\sqrt{2}\cos x=1\\\cos x=\frac{1}{\sqrt{2}}[/tex]

There can be two solution because [tex]0<x<2\pi[/tex]

[tex]\cos x=\cos \frac{\pi }{4}\ or\ \cos (2\pi -\frac{\pi}{4})\\[/tex]

so, [tex]x=\frac{\pi}{4}\ or\ \frac{7\pi}{4}[/tex]

Answer:

The answer would be
B

Step-by-step explanation:

What are all the exact solutions of square root 2 cosx-1=0 for 0 less than or equal to x less than or equal to 2 pi ?Give your answer in radians.

Answer:

A. 3.7, because |3.7| = 3.7

I hope this helps!

Answer:

B. y = 5 + 4x

Step-by-step explanation:

x represents the number of games played so its y = 5 + 4x because bowling costs $4 per game

Answer:

146.82+ 84.27=231.09-19.12=211.97-31.86=180.11 remaining in his checking account

Answer:

1963.85

Step-by-step explanation:

Answer:

Intersection

Step-by-step explanation:

The intersection of two set A and B is defined as the elements which can be found in both set A and set B.

For instance :

A = {1, 3, 5, 7, 9, 11}

B = {2, 4, 6, 7, 8, 9, 10}

The intersection of the two sets A and B denoted as ;

AnB = {7, 9}

Answer:

The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A

Step-by-step explanation:

The form of the equation of the circle is (x - h)² + (y - k)² = r², where

Let us solve the question

∵ The center of the circle is at (2, -5)

→ From the rule above

∴ h = 2 and k = -5

∵ The radius of the circle is 12

∴ r = 12

→ Substitute the values of r, h, and k in the form of the equation above

∵ (x - 2)² + (y - -5)² = (12)²

∴ (x - 2)² + (y + 5)² = 144

∴ The equation of the circle is (x - 2)² + (y + 5)² = 144

Answer:

That is correct AS A DECIMAL but since it is asking for the exact form the correct answer would be 3 √ 5

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

just took test

Answer:

76

Step-by-step explanation: Given that: There are 5 butterflies onscreen

The number of butterflies doubles every minute.

That is every increase in minute = double in the numbers of butterflies

Expressing in the power of 2

= 5×2^n. .......... 1

Where n is 4 which can as well range from ( 1,2,3,4 )

Hence, using the expression in equation 1

Ist minute where n = 1

5(2^1) = 10 butterflies

2nd minutes: where n = 2

5(2)(2) = 5(2^2) butterflies

After 3rd minutes :

5(2^3) butterflies where n = 3

After 4th minutes : where n = 4

5(2^4) butterflies

But at that point she was able to capture 4.

After 4 min, number on screen = 5(2^4) - 4

= 5(16) - 4

= 80-4

= 76

Answer:We have,

Beans sold in 1 hour = 10 pounds

So, Beans sold in 3 hours = 30 pounds

Decrease in green beans after 3 hours is 30 pounds.

Now,

Step-by-step explanation:

Answer:

18,75%

Step-by-step explanation:

3 x 10 = 30

so, she sold 30 pounds in 3 hours

160/100=1.6

1% - 1.6 pounds

30/1.6=18,75

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rotation is the rotation of a figure about a given point.

The exterior angles of a regular hexagon measures 60 degrees each, hence:

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

Find out more at: https://brainly.com/question/11707700

Answer:

I think the answer is [tex]3\ in.^{3}[/tex] because the math adds up easily for this equation.

#TeamTrees

Hope this helps! <3

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]

We are to find the product as shown:

[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]

Hence the required function is [tex]\frac{2}{k+2}[/tex]

d. StartFraction 2 Over k + 2 EndFraction

aka

d. 2/k+2

Question might not be complete

Answer and explanation:

The signs -1 and -4 lie on the negative side of the number line, left of zero(positive right of zero).

The opposites for each number would be +1 and +4 which would all be on the right side of zero on the number line

Inequality signs or statements to represent greater and lesser number on the number line using the numbers above as examples would be:

-1<+1

-4<-1

+1>-1

+1<4

-1-4<1+4

Numbers that don't have signs attached to them are automatically positive numbers

Answer:

1.>

2.1 < 4

Step-by-step explanation

Answer:

x≥−5

Step-by-step explanation:

Answer:

n= 0.121978

Step-by-step explanation:

1.6-4.7n+0.23=-4.4n+2.94

4.7n+1.83=-4.4n+2.94

4.7n=-4.4n+2.94-1.83

4.7n=-4.4n+1.11

4.7n+4.4n=1.11

9.1×n=1.11

n=1.11/9.1

n=0.121978

Answer:

n=-3.7

Step-by-step explanation:

1.6-4.7n+0.23=-4.4n+2.94

-4.7n+1.83=-4.4n+2.94

+4.4n both sides

-0.3n+1.83=2.94

-1.83 both sides

-0.3n=1.11

Divide 3 both sides

n=-3.7

Answer:

16, 32, 64

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

2 ÷ 1 = 4 ÷ 2 = 8 ÷ 4 = 2

Thus to obtain any term in the sequence multiply the previous term by 2

a₅ = a₄ × 2 = 8 × 2 = 16

a₆ = a₅ × 2 = 16 × 2 = 32

a₇ = a₆ × 2 = 32 × 2 = 64

Answer:

the answer is a

Step-by-step explanation:

Answer:

16/35

Step-by-step explanation:

From the question we are given:

total number of cupcakes needed for the school dance = 140 cupcakes

Lucy made 35cupckes

JoJo made 42 cupcakes

Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes

Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes

Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140

Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35

Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35

Answer:

16/35

Step-by-step explanation:

Answer:

6.4 feet

12.8 feet

14.8 feet

Step-by-step explanation:

let x = length of 1st side

let 2x = length of 2nd side

let 2x + 2 = length of 3rd side

add them all together and set sum equal to 34

x + 2x + 2x + 2 = 34

5x + 2 = 34

5x = 32

x = 6.4, which is 1st side

2x = 12.8, which is 2nd side

2x + 2 = 14.8, which is 3rd side

Answer:

f(X)= 3x^2- 30x+5

Step-by-step explanation:

f(X)= 3(x-5)^2-70

= 3(x^2-2.x.5+ 5^2) -70

= 3(x^2-10x+25)-70

= 3x^2-30x+75-70

= 3x^2-30x+5