A daycare center has 4 infants and 11 toddlers. What fraction of the children are infants?
StartFraction 4 Over 15 EndFraction
StartFraction 4 Over 11 EndFraction
StartFraction 11 Over 15 EndFraction

SOLUTION:

Step 1:

In this question, we are given the following:

Brian has reduced his cholesterol level by 6% by following a strict diet and regular exercise.

This means that the remaining level will be ( 100 - 6 ) % = 94%

Step 2:

If his original level was 280,

Then, the approximate cholesterol level now will be:

CONCLUSION:

The final answer is:

Answer:

\(x=-1.25y-3.75\)

Step-by-step explanation:

try adding 6 to both sides

-4x=5y+15

try dividing both sides by -4

x=-1.25y-3.75

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

Know more about steady-state solution here:

https://brainly.com/question/15073499

#SPJ11

Answer:

Ok, tenemos que el cheque es de 16_41.

Y también sabemos que podemos dividir este numero entre 13 personas, de acá podemos concluir que este numero es un múltiplo de 13.

Sea el dígito faltan igual a x

Sabemos que un numero es divisible por 13 cuando la suma de los productos de las  unidades, decenas, centenas,...  De dicho número  por los dígitos contenidos en la lista {1, –3, –4, –1, 3, 4 } (en ese orden) es  0  o múltiplo de 13.

Entonces, tenemos:

16x41:

1*1 + 4*(-3) + x*-4 + 6*-1 + 1*3 = 1 - 12 -4x - 6 + 3

=-14 - 4*x  

entonces, -14 - 4*x tiene que ser igual a 0, 13 o algún múltiplo de 13.

Como ambos términos son negativos, no podemos tener esta igualdad igual a 0 o a 13, entonces apuntamos por el siguiente múltiplo de 13 después de -13 (es decir, 13*-2 = -26)

-26 = -14 - 4*x

-26 + 14 = -4*x

-12 = -4*x

-12/-4 = 3 = x

Entonces nuestro dígito es igual a 3, y nuestro numero es:

16341.

Ahora podemos probar:

16241/13 = 1257

Es decir, cada miembro recibe 1257.

Answer:

93:96

Step-by-step explanation:

or using a calculator its 97% of students. Or 93/96 which simplifies into 31/32

The scale factor used to create the dilation is 3

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

comparing the two images it can be seen that dimensions ABCD is a square hence change in one side will equal for all sides

using side BC = 1 unit, B'C' = 3 Units, this shows a maginification of 3 hence the scale factor is 3

Learn more about transformation here:

https://brainly.com/question/29601182

#SPJ1

Answer:

0x+11y=-11

Step-by-step explanation:

hope this helps

plzz mark me brainliest

Answer:

y=-1

Step-by-step explanation:

-2×+7y=-5

- -2×-4y=6

11y=-11

But you don't leave the answer like that

You need to simplify

So

11y=-11

y=-11

11

y=-1

1) Since we need to find the Surface Area of that Pyramid, we need to examine that picture. We can see that there are 6 triangles in this pyramid. And the base is formed by a hexagon.

2) Let's then find the Lateral Area:

Since at the base of that pyramid, there is a regular hexagon we can subdivide this into 6 triangles.

3) Now, we can add them up:

Note that we rounded off to the nearest whole number as requested.

Answer:

The formula for the perimeter of a rectangle is P = 2l + 2w

Step-by-step explanation:

Step-by-step explanation:

2 (l + b)

yes this may help you this is formula of perimeter

Answer:

The answer is 21

Step-by-step explanation:

6+6 bc the other side is the same as the one that has 6. 6+6+9=21

Answer:

45

Step-by-step explanation:

use the formula (n-2)*180 the get the value of the total angles in this figure where n is the number of sides

using this formula we get that its equal to 540 so

x+(3x+10)+112+148+90=540

x+3x+10+112+148+90=540

(add like terms)

4x+360=540

4x=540-360

4x=180

x=180/4

x=45

Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

its $200

If Tina's score is in the 50th percentile and the grades were normally distributed, Tina's score on the exam is 78.

A percentile refers to the comparison score between a particular score and the scores of the rest of a group. It represents the percentage of scores that a specific score surpassed. For example, if the score of 75 points on a test is ranked in the 85th percentile, it implies that the score 75 is higher than 85% of the scores. The 50th percentile, which is also the median score implies that 50% of the score is below or above the average score in a normally distributed data. In the given situation, if the grades are normally distributed with a mean of 78, that implies that 50% of the scores are above 78 and 50% of the scores are below 78. The standard deviation in this case is irrelevant. As Tina’s score is at the 50th percentile, her score on the exam would be 78.

Learn more about Percentile:

https://brainly.com/question/2263719

#SPJ4

Answer:

n = 6

Step-by-step explanation:

9n - 6 = 5n + 18

Subtract 5n from each side

9n-5n - 6 = 5n-5n + 18

4n -6 = 18

Add 6 to each side

4n -6+6 = 18+6

4n = 24

Divide each side by 4

4n/4 = 24/4

n = 6

Answer:

x=12

Step-by-step explanation:

\(x^{2}\)=\(15^{2}\)-\(9^{2}\)

\(x^{2}\)=225-81

\(x^{2}\)=144 /sqrt

x=12

Answer:

93

Step-by-step explanation:

the answer is 93 no -93 i think so

If a car depreciates at 12% per year it will depreciate by 59.04% after 4 years.

If a car depreciates at 12% per year, it means that the value of the car decreases by 12% each year. To find out how much the car will have depreciated after 4 years, we can use the formula:

Depreciation = Original Value * (1 - (1 - Depreciation Rate)^Years)

We can plug in the given values to find the total depreciation:

Depreciation = Original Value * (1 - (1 - 0.12)^4)

The depreciation rate is given as 12% per year, which is equivalent to 0.12 as a decimal.

So the total depreciation is:

Original Value * (1 - (1 - 0.12)^4) = Original Value*(1 - 0.4096) = Original Value*0.5904

Therefore, the car will have depreciated by 59.04% after 4 years.

It's important to note that the Original Value has been multiplied by 0.5904, which is the depreciation rate after 4 years, but the Depreciation value is the percentage of the original value and not the monetary value.

Indices, also known as exponents, are a way of representing repeated multiplication. They indicate how many times a number (called the "base") is multiplied by itself. The number indicating the number of repetitions of the multiplication is called the "exponent" or "index".

Learn more about Profit & Loss here.

https://brainly.com/question/14235282

#SPJ1

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

not significantly more than 3 minutes.

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

1. The null hypothesis is that the population mean is equal to 3 minutes.

2. A sample of 100 customers was taken, with an average length of calling time of 3.1 minutes and a sample standard deviation of 0.5 minutes.

3. The p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

4. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

Learn more about null hypothesis here

https://brainly.com/question/28920252

#SPJ4

To find the depth of the cylinder tank, we first need to calculate the radius of its base. The diameter of the base is given as 14m, so the radius (r) is half of that, which is 7m.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height (depth) of the cylinder.

We are given that the capacity (volume) of the tank is 3080cm³. However, the diameter of the base is given in meters, so we need to convert the volume to cubic meters.

1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³).

So, the volume of the tank in cubic meters is 3080cm³ / 1,000,000 = 0.00308m³.

Now, we can rearrange the volume formula to solve for the height (h):

Learn more about diameter here;

https://brainly.com/question/22854345

#SPJ11

Answer:

60

Step-by-step explanation:

1 pound of water to 60 pounds of dry mix

If 1 gallon of water = 8 pounds of water, then, we would have,

8 pounds of water to 60 pounds of dry mix

This implies that 8 pounds of water would stir 60 pounds of dry mix. Therefore, in the table showing both possible combinations, what we would have in cell A would be amount of dry mix that would be combined with 8 pounds of water = 60 pounds.

Cell A = 60 pounds

Answer:

y= -4/3 x + 4

Step-by-step explanation:

i guess

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

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

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

Answer:

The total population = 9514.2857143 people.

Step-by-step explanation:

Let the total population be represented by X

In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.

Therefore, the total population is calculated as

14% of X = 1332

14/100 × X = 1332

14X/100 = 1332

Cross Multiply

14X = 1332 × 100

X = 1332 × 100/14

X = 9514.2857143

Therefore, the total population = 9514.2857143 people.

Answer: No, the triangle sum theorem is not true for a sphere surface.

Explanation:

Consider 3 cities A,B,C at the following locations

The placement of C is important because this then allows angle ABC to be 90 degrees. Angles BAC and BCA are also 90 degrees each because B is directly north of both A and C (all northerly roads lead to the north pole at point B). This bizarre triangle has all three angles of 90 degrees. The angles here sum to 90+90+90 = 270 degrees.

No, the triangle sum theorem is not true on the surface sphere.

The triangle sum theorem states that, the sum of the three interior angles of any triangle is always 180°.

Given that, is the triangle sum theorem true on the surface sphere or not, so in relation to Euclid's geometry,

A statement that is equivalent to the parallel postulate is that there exists a triangle whose angles add up to 180°. Since spherical geometry violates the parallel postulate, there exists no such triangle on the surface of a sphere. The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.

Hence, there exists no such triangle on the surface of a sphere.

For more references on triangle sum theorem, click;

https://brainly.com/question/2995226

#SPJ5

Answer:

s 7 + 46  = 49 is s  =  7 √ 3 or s  =  1.16993081 …

Step-by-step explanation:

Exact Form:

s  =  7 √ 3

Decimal Form:

s  =  1.16993081 …

Answer: B.) 8 Puzzles and 840 pieces

The shortest length possible in the given question is 4.0×\(10^{-10}\) cm .

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

Most people interpret length to mean an object's longest dimension. Nevertheless, depending on the object's position, this is not always the case.

There are several terms for the length of a fixed object, including height, which is also known as vertical length or vertical extent, and width, breadth, or depth. When a base exists from which vertical measurements can be taken, height is used.

Nanometer(nm)- In the International System of Units (SI), a nanometer (American spelling) is a unit of length that is equal to 1000 picometres and one billionth (short scale) of a meter (0.000000001 m).

now , for find the shortest length we can covert all the given units into centimeter,

1 pm = \((10)^{-10}\) cm

1 nm = \((10)^{-7}\) cm

1 m =  100 cm

we have , 400 pm = 4× \((10)^{-8}\) cm

                4.0 nm  =  4 × \((10)^{-7}\) cm

      4.0 x \((10)^{-4}\)m = 4 × \((10)^{-2}\) cm

and   4.0 x \((10)^{-10}\) cm

hence , clearly it is shown that shortest length is 4.0 x \((10)^{-10}\) cm .

Learn more about Length from

https://brainly.com/question/10613903

#SPJ4

According to the hyperbolic decay function of value discounting, when k is large the value of the reinforcer decreases.

The hyperbola is used to define hyperbolic functions rather than the circle, just as conventional trigonometric functions. The points (cosh t, sinh t) make up the right half of a unit hyperbola, just as they do when they form a circle with a unit radius. Derivatives of sin(t) and cos(t) are cos(t) and -sin(t), respectively, just as they are for sinh(t) and cos(t) and are cosh(t) and +sinh(t), respectively.

When calculating angles and distances in hyperbolic geometry, hyperbolic functions are used. Along with solving various linear differential equations, cubic equations, and Laplace's equations in Cartesian coordinates, they also appear in their solutions. The physics of electromagnetic theory, heat transport, fluid dynamics, and special relativity all depend on Laplace's equations.

Learn more about hyperbolic decay here

https://brainly.com/question/2254116

#SPJ4