A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of his pets plus all the wings equals the total number of feet of his pets. How many cats and how many penguins are there?

Answer

1

Step-by-step explanation:

anything times one equals the number multiplied by one

Hope this helps :)

Answer:

2x1=2, -2x1= -2, 2x0.5=1, -2x (-0.5)=1

HOPEFULLY THIS HELPS :3

Answer:

the answers are 6.773 and 2.448

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1 liter of water equals 1000 milliliters.

To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.

Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.

So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.

Now you need to find the difference of 700 and 500 by subtracting.

700-500=200

Tutu bought 200 more milliliters of water than Pete.

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Answer:

\(log_4(\frac{xy}{3})=log_4(x) + log_4 (y) - log_4 (3)\)

Step-by-step explanation:

using the properties of logarithms, the log of a product gives the addition of logs, and the log of a quotient gives the subtraction of logs;

\(log_4(\frac{xy}{3})=log_4(x) + log_4 (y) - log_4 (3)\)

Answer:

function

Step-by-step explanation:

we see 2 sets of values : for x and for y.

the set for x is {8, 0, -1, 9}

the set for y is {s, u, k, d}

for every element of set x there is an associated element of set y.

that is a function of x.

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

Answer:

c and d?

Step-by-step explanation:

im not sure if thats right but those are the only 2 numbers that i see beetween the number line

Answer:

A, C, D, E

Step-by-step explanation:

-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8

-9/10 as a decimal is -0.9 so it is too high

-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8

-1/4 as a decimal is -0.25  so it is too high

-2/5 as a decimal is -0.4 so it is between 0.2 and 0.

EDIT: 1/4 is right actually so it's d to.

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Find percent tax.

7.79/100 * 100

7.79 percent.

Take 7.79 percent of 74,000.

0.0779 * 74,000 = 5764.6

Answer:

£ 550

Step-by-step explanation:

C = p(t + 30)

C = 2(245 + 30)

C = 2 (275)                         [using order of operations]

C = 550

Hope this helps!

Answer:

C = £550

Step-by-step explanation:

Given the Cost formula, C = p(t + 30), and p = 2 and t = 245:

Plug in the values of p and t into the formula:

C = p(t + 30)

C = 2(245 + 30)

C = 2(275)

C = 550

Therefore, the total cost is £550.

The derivative is f'(x) = (4x - 1) / (2x² - x).

To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.

Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).

Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).

Let's consider the inner function g(x) = 2x² - x.

To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.

Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.

Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:

f'(x) = (1 / (2x² - x)) * (4x - 1)

Simplifying further, we have:

f'(x) = (4x - 1) / (2x² - x)

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T\(-1\)o get rid of the y value, subtract the 2 equations together.

\(6x=-6\)

\(x=-1\)

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

\(2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}\)

Thus,

x = \(-1\) and y = \(\frac{8}{3}\);    \((-1,\frac{8}{3} )\)

Hope this helped :)

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer:

The answer to the question provided is option 2.

Answer:

5%

Step-by-step explanation:

I (simple interest) = $655

P (principle) = $1,310

R (interest rate) = ?

T (time) = 10

I = PRT

655=(1,310)r(10)

655 = 13,000•r

13,100   13,100

r • 0.05

0.05 converted to percent is 5%

Answer:

The Answer is x=2

Step-by-step explanation:

Hope this helps!!!!

Answer:

x=2  

Step-by-step explanation:

4x+3=11

4x=11-3      ( subtract 3 on both sides)

4x=8

x=2            ( divide 4 on both sides)

Answer: C

Step-by-step explanation:

Since y = 0 at x=3pi/2, we know that this is a cosine graph.

So to determine if its -cos or cosine, we can test the pt (0, 1).

Since cos(0)=1 whereas -cos(0)=-1, the answer is y=cos(x).

Answer:C

Step-by-step explanation:Edu 2022

Answer:

y<-2 or y>= 2

Step-by-step explanation:

y + 3 < 1

y - 3 + 3 < 1 -3

y < -2

2y +1 >= 5

2y - 1 + 1 <= 5 - 1

2y <= 4

2y/2 <= 4/2

y = 2

Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer:

It's a function

Step-by-step explanation:

Because non of the inputs have the same output

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

84?

8+4 is 12, and 84 is greater than 80, and less than 90

Answer:

84

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

180 - 82 - 43 = 55

I think this is right! I hope you have a good day and stay safe!

Answer:

for each 1 minute of talk time, the bill goes up 5¢.

I think it has to either be

--The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bil increaes by $0.05

or

--The avaerage rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05

Answer:

Step-by-step explanation:

Average rate of change during 40 min:

This number reflects the average cost of talk for each minute

Correct answer choice C

Answer:

$25

Step-by-step explanation:

$10 + $40 = 50$

50$ = total investment

\( \frac{50}{100} \times 50 = 25\)

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Answer:

600

Step-by-step explanation:

2 X 3 = 6

20 has one 0

30 has one 0

one 0 and one 0 is two 0s

6 plus two 0s = 600