At 11 p.M., it was 48°F. The temperature was 6° cooler by 7 a.M. By 11 a.M. The temperature was 48°F again. What integer represents the number of degrees the temperature changed from 7 a.M. To 11 a.M.?

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

[tex]y=ab^x[/tex]       ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

[tex]y=95000b^x[/tex]       ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

[tex]105000=95000b^7[/tex]

[tex]\dfrac{105000}{95000}=b^7[/tex]

[tex]\dfrac{21}{19}=b^7[/tex]

Taking 7th root on both sides, we get

[tex]\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b[/tex]

Put [tex]b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}[/tex] in (ii).

[tex]y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x[/tex]

[tex]y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}[/tex]

Therefore, the required exponential model for the value of home is [tex]y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}[/tex], where x is the number of years after 2011.

Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].

Given:

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:

[tex]d=0.04v^2+1.1v[/tex]

To find:

The stopping distance for a velocity of 10 miles per hour.

Solution:

We have,

[tex]d=0.04v^2+1.1v[/tex]

where, d is stopping distance and v is velocity.

Substitute v=10  in the given equation to find the stopping distance for a velocity of 10 miles per hour.

[tex]d=0.04(10)^2+1.1(10)[/tex]

[tex]d=0.04(100)+11[/tex]

[tex]d=4+11[/tex]

[tex]d=15[/tex]

So, the stopping distance for a velocity of 10 miles per hour is 15 ft.

Therefore, the correct option is c.

hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

A(2 ; 1)  and  B (17 ; - 17)  

so   :  (-17 - 1 )  / (17 -2) =  -18/ 15 =  - 6*3 / 5*3 =  -6/5

Answer:

$30.41

Step-by-step explanation:

Given that:

Discount off = 15%

Original price = $45

Mark down on item = 25%

Sales tax on final price = 6%

Cost of Jean will be ;

Mark down price :

Original price - (Original price * markdown %)

$45 - ($45 * 0.25) = $33.75

Discounted price :

Markdown price - (markdown price * discount %(

$33.75 - (33.75 * 0.15)

= $28.6875

Final price :

Discounted price + (sales tax * discounted price)

28.6875 + (0.06 * 28.6875)

= $30.40875

= $30.41

19 & 20  are the reqd. integers.

By what is given,  x + ( x + 1 ) = 39 .

∴ 2 x + 1 =39.

∴ 2 x = 39 − 1 = 38 .

∴ x = 19 ,  so,  x + 1 = 20 .

Thus,  19 & 20  are the reqd. integers.

Answer:

y=x+4

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope of the line and b is the y-intercept

slope: 1

y-intercept: 4

hopefully this helps :)

Answer:

y=x+4

Step-by-step explanation:

y=mx+b

m-is the slope and b-is the y-intercept

(x, y) = (0,4)

4=0+b so b =4

substitute in the equation

y=x+4

Answer:

18

Step-by-step explanation:

Add all the sides. But you are missing two sides. Soo since the top is 4, the bottom is two bc half is two. then the right side is 5 and the left, half is 2 so the other half is 3. 3+2=5! soooo the perimeter is 18.

Answer:

18

Step-by-step explanation:

We add up the side lengths,

[tex]5+4+3+2+2+2= 18[/tex]

by finding missing side lengths with subtraction and logic

and I'm pretty sure this is correct, but I like double-checking things.

This figure is made out of 2 rectangles,

2x5 and 3x2

The perimeter of each is 14 and 10

[tex]14+10-3-3=18[/tex]

the two 3's are the over lapping sides

We also get 18.

Answer:

332

Step-by-step explanation:

Since there is a ratio of 9:8 (women to men), the total should be 17. So even if there were 81 women and 72 men, the total ratio should still be 17. (In simplifiest form.)

So, 5,644 divided by 17=332

Since 9 is 1 more than 8, there are 332 more women than men.

Hope this made sense! I wasn't sure how to explain this.

Answer:

332

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

they have the same slope

1)-4/-6=2/3

2)-2/-3=2/3

BUT different y-int

1)-6/-26=1/4

2)-3/-6=1/2

so no solution

Answer:

i am so sorry that i dont know

Answer:

No, yes, yes, no

Step-by-step explanation:

23.6/4.02=5.87

2.36/40.2=0.0587

2360/402=5.87

2.36/0.402=5.87

236/4020=0.0587

Answer: P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)

Step-by-step explanation:

The factored form of a polynomial is:

P(x) = A*(x - r₁)*(x - r₂)*(x - r₃)....

Where:

A is a real number.

r₁, r₂,.... etc

are the roots.

In this case, we know that the roots are:

-4, -4, and 6.

Then the polynomial will be:

p(x) = A*(x + 4)*(x + 4)*(x - 6)

Now we also know that this polynomial passes through the point (2, 36)

This means that:

P(2) = 36 = A*(2 + 4)*(2 + 4)*(2 - 6) = A*6*6*(-4) = A*(-144)

          36 = A*(-144)

        -36/144 = A

          -0.25 = -1/4 = A

Then the polynomial is:

P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)

Answer:

1/3

Step-by-step explanation:

20/60 simplified is 1/3

20 for the red light

60 all of them added

Answer:

A)3

Step-by-step explanation:

if im wrong tell me and i will do it again

HOPE THIS HELPS:::)))

Step-by-step explanation:

make the coefficients same

then if sign are same subtract the one you wanna cancel it then here it goes

lam gonna start making coefficient of x sam like this:

4.X+7y= -37

1.4X-3y=7

then i will subtract all x or cancel to each other then

4X+28y= -148

-

4X-3y=7

and then -×-=+

add all y

31y=141

y= 4.55 then we take one of the equation then substitute y to 4.55 so i chose first equation

X+7(4.55)=-37

X+31.85=-37

so take 31.85 to the side it will become -31.85

then X=-37-31.85

X=68.85

i hope that it will help you

Answer:

60 miles in 1.5 hours

Step-by-step explanation:

40 miles times 1 hour = 40 mph

40(1.5)= 60 mph

Answer:

60 miles on 1.5 hours

Step-by-step explanation:

Just do 40*1.5

Answer:

24.0

SinA = sinB

a b

Sin150 = Sin12

a 10

cross multiplication:

Sin(150) x 10

Sin(12)

5

sin 12 = 24.0

I hope I got it correct

Answer:

Step-by-step explanation:

[tex]\frac{10}{sn12}[/tex] = [tex]\frac{a}{sin150}[/tex]

a = [tex]\frac{10sin150}{sin12}[/tex] ≈ 24.0  

Answer:

10,244 pounds

Step-by-step explanation:

|R|= √(7,500+10,000cos110)²+(10,000sin110)²

|R|= about 10,244 pounds

thats how i did it :I

Answer:

B

Step-by-step explanation:

Edge 2021

Answer:

w=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10w=6+24

10w=(6+24)(Combine Like Terms)

10w=30

10w=30

Step 2: Divide both sides by 10.

10w /10= 30 /10

w=3

Answer:

a=8

b=5

x=13

Step-by-step explanation:

Use Pythagoras's Theorem to find A

h²=y²+z²

10²=a²+6²

100=a²+36

∴a²=64

∴a=8

Use Pythagoras's Theorem to find A

h²=y²+z²

9²=b²+6²

81=b²+36

∴b²=45

∴b=3√5

x=a+b

=8+3√5

Answer:

a = 8

b = ∛5

x = 8 + ∛5

Step-by-step explanation:

I think here we have to do pythagorean theorem a² + b² = c² or c =√a² + b²

Now just plug in the numbers for 9, 6 and b

6² + b² = 9²

36 + b² = 81

b² = 45

b = 6.70820....

b = ∛5

∛5 = 6.70820..

Now plug in 6, 10, a

a² + 6² = 10²

a² + 36 = 100 (subtract 36 on both sides)

a² = 64

√64 = 8

a = 8

NOW X

8 + √45 = 14.708203

8 + ∛5 = 14.708203

x = 8 + ∛5

Hope this helps ya!!!

Answer:

rectangular garden

Step-by-step explanation:

Answer:

8 meters

Step-by-step explanation:

This is a question that deals with Proportion

Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke

Length of the shadow of Luke = x

= 12/24 = 4/x

We cross Multiply

12 × x = 24 × 4

x = 24 × 4/12

x = 8 meters

Hence, the length of the shadow of Luke = 8 meters

Step-by-step explanation:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Answer:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Step-by-step explanation:

Answer:the x intercept is 5

Step-by-step explanation:

Answer:

60/100 divided by 2

Step-by-step explanation:

60%= 60/100

100 divided by 2 is 50

( what you do to the top you do to the bottom)

60 divided by 2 is 30

60/100= 30/50

So the answer is 30

Answer:

5/3

Step-by-step explanation:

Let

Denominator = x

Numerator = x - 7

New

Denominator = x + 9

Numerator = x - 7 + 2

= x - 5

x / x-7 = x -5 / x + 9

Cross product

x * x + 9 = x-7 * x-5

x² + 9x = x²- 5x - 7x + 35

x² + 9x - x² + 5x + 7x - 35 = 0

21x = 35

divide both sides by 21

x = 35 / 21

= 5 / 3

x = 5/3

The rational number is 5/3

Answer:

Step-by-step explanation:

1. Make a proportion.

Set the numbers equal to each other.

I chose the numbers 9, 12, 15, and of course x.

Make the fractions in a way that the x is in the numerator if you want to make your life easier.

15/9 = x/12

2. Simplify

Cross multiply the numbers.

This will give you the equation of

9*x and 15*12

3. Make an equation

Simplify the numbers by mulitplying them

9x = 180

4. Divide both sides by 9

9x = 180

/9      /9

Hope this helped,

Kavitha Banarjee