Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.

How much does Evan's dog weigh?

Answer:

g(x+5)=x2+7x+10

Step-by-step explanation:

[tex]\int {12x+5} \, dx[/tex]

For this problem, let's first apply the intergral sum rule.

[tex]\int {12x+5} \, dx = \int{12x} \, dx + \int{5}x \,dx[/tex]

Then, we'll use the reverse power rule on each of these integrals.

[tex]\int{12x} \,dx = 6x^2+C[/tex]

[tex]\int{5} \,dx = 5x+C[/tex]

So the indefinite integral of [tex]\int{12x+5} \,dx[/tex] is [tex]6x^2+5x+C[/tex].

Remember that we need our constant of integration, [tex]C[/tex], because of if we take the derivative of a constant, it'll be 0.

Hope this helps!

Hi there!

[tex]\int\limits {12x+5} \, dx[/tex]

Recall the following rules:

[tex]\int\limits {x^n} \, dx = \frac{x^{n+1}}{n+1}[/tex]

Use this rule to evaluate. Remember to include the constant:

[tex]\int\limits {12x+5} \, dx = \frac{12x^{1+1}}{1+1} + 5x +C[/tex]

[tex]\int\limits {12x+5} \, dx = 6x^2 + 5x + C[/tex]

i calculated that the answer will be roughly 24.9 miles per hour.

Answer:

70°

Step-by-step explanation:

isoceles so base angles are 55

55+55 is 110 so 180-110 is 70

Answer:

if the triangle is isosceles

Step-by-step explanation:

traingle angles= 180°

isosceles traingle= base angles are equal

180°-55°-55°= 70°

It looks like the given differential equation is

(3x² + y²) y + (y² - x²) x dy/dx = 0

Multiply both sides by 1/x³ to get

(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0

(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)

Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:

(3 + z²) z + (z² - 1) (x dz/dx + z) = 0

(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0

(z² - 1) x dz/dx = -(2z³ + 2z)

x dz/dx = (2z³ + 2z)/(1 - z²)

(1 - z²)/(2z (z² + 1)) dz = dx/x

Integrate both sides. On the left, split up the expression into partial fractions.

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}[/tex]

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}[/tex]

[tex]1-z^2 = (a+b)z^2 + cz + a[/tex]

for which we find a = 1, b = -2, and c = 0:

[tex]\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)[/tex]

Integrating and simplifying yields

1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x

1/2 (ln|z| - ln(z² + 1)) = ln|x| + C

1/2 ln|z / (z² + 1)| = ln|x| + C

ln(√(z/(z² + 1))) = ln|x| + C

exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]

√(z/(z² + 1)) = exp[ln|x|] exp[C]

√(z/(z² + 1)) = Cx

z/(z² + 1) = Cx²

Replacing z = y/x then gives us an implicit solution of

(y/x) / (y²/x² + 1) = Cx²

xy / (y² + x²) = Cx²

y / (y² + x²) = Cx

y = Cx (y² + x²)

Cxy² - y + Cx³ = 0

though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with

y = (1 + √(1 - Cx⁴))/(Cx)

(the other solution only differs by the sign on the square root)

Answer:

Step-by-step explanation:

24)

3x - 10 > 2

3x - 10 + 10 > 2 + 10

3x > 12

3x/3 > 12/3

x > 4

5x - 15 < -5

5x - 15 + 15 < -5 + 15

5x < 10

5x/5 < 10/5

x < 2

B)  x > 4 or x < 2

25)   1.5/60 = 12/x

x = 12(60) / 1.5

x = 480

B) 480 miles

This distance from Old Faithful to Mammoth Hot Springs is actually about 52 miles by road, so there must have been MASSIVE number of road closures to get this result...or else their scale is incorrect. 1.5 inch to 6.0 miles would be a much more accurate scale making the distance 48 miles.

Answer:

thanks for tha points

Step-by-step explanation:

Answer:

if she pays the bank back it would be 25 but if she just deposited 85 then she has 85 in the bank

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly

Answer:

0.09

Step-by-step explanation:

Ratio of 6 to 5

A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11

Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.

6:5

12:10

18:15

24:20

30:25

36:30

42:35

48:40

54:45

60:50

66:55

72:60

Step-by-step explanation:

1.) 7=12 - 5 is true

4.) 6(7) - 2(12) = 22 is not true

Answer:

109r6

Step-by-step explanationi got it

The coefficient of kinetic friction between the oil-covered road

and the car tires. is 0.51

To solve this question, we would consider one of the equations of motion.

v² = u² + 2as, where

v = final velocity, which is also equal to 0

u = initial velocity, which is 20m/s

s = skid marks, which is 40 meters long

a = acceleration, which is unknown

0² = 20² + 2*a*40

0 = 400 + 80a

80a = -400

a = -400/80

a = -5 m/s

Also, it is known that acceleration a = (mu)g, where mu is the coefficient of kinetic friction and g is the acceleration due to gravity.

-5 = mu * 9.8

mu = -5/9.8

mu = 0.51

learn more about equations of motion here https://brainly.com/question/16878713

Answer:

The greater the cost, the better the merchandise

Step-by-step explanation:

It’s giving a positive correlation.

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

Answer:

If the borrower defaults on the loan, the lender can collect the collateral outlined in the loan agreement. But the lender can’t go after the borrower for further compensation, even if the value of the collateral doesn’t cover the full amount of debt owing.

Step-by-step explanation:

Answer:Wuts the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 6/9 = 2/3

Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3

Answer: the answer is A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

Step-by-step explanation:

Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of

-intercept in terms of this problem.

A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

B. The x-intercept shows that he started with 16 songs downloaded before adding more.

C. The x-intercept shows that he has 53 GB of storage on his phone.

D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.

Answer: He biked 4 and 3/8 miles

Step-by-step explanation:

since he ran 1.25 miles and biked 3.5 times farther than that you'd multiply both numbers and get 4.375 which simplifies to 4 and 3/8

Answer:

[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]

Step-by-step explanation:

The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]

The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

Answer:

Step-by-step explanation:

40cos70 = 13.68080573... 13.681 ft.

Answer:

Both are 65 degrees

Step-by-step explanation:

because you have parrallel lines, 2 would be the same as 65

Because 1 is on the opposite of 2, it would be the same

Answer:

$1,875.01

Step-by-step explanation:

Cash in Bank :

DEBIT(+) :

+ $1,200.00

+ $387.89

+ $250.00

+ $437.12

CREDIT (-) :

- $400.00

Capital:

DEBIT (-) :

- $400.00

CREDIT (+) :

+ $1,200.00

+ $387.89

+ $250

Accounts Payable :

DEBIT (-):

0

CREDIT (+):

+ $437.12