Una empresa consume 40% de su materia prima disponible, lo que le queda excede en 57kg. a lo gastado. ¿Cuántos kilogramos de materia prima disponible tenía la empresa?

 By performing the division and equating the remainder to zero, we can solve for k. The values of k are k = -2 and k = -11/4,we can use polynomial division.

To find the values of k for which the expression 4x^3 - x^2 - kx - 5 is divisible by 2x - 1 with a remainder of 0, When dividing the expression 4x^3 - x^2 - kx - 5 by 2x - 1, we can use polynomial long division. The goal is to divide the expression and have zero remainder. Setting up the division:    2x^2 + 3x +  k + 4

2x - 1 | 4x^3 - x^2 - kx - 5

By performing the polynomial division, we get a quotient of 2x^2 + 3x + k + 4. For the remainder to be zero, the constant term in the quotient should be zero. Therefore, we have the equation k + 4 = 0, which gives us k = -4.

Hence, the values of k that result in a remainder of 0 when dividing 4x^3 - x^2 - kx - 5 by 2x - 1 are k = -4.

However, there is another possibility. If we divide 4x^3 - x^2 - kx - 5 by 2x - 1 using synthetic division, we find that when k = -11/4, we also obtain a remainder of 0. Therefore, the values of k satisfying the given condition are k = -4 and k = -11/4.

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A) Translation

hope this helps!

Answer:

translation

Step-by-step explanation:

this is a translation because every point of the shape remain in the same position as it is moved.

Answer:

1.4.3

2.0.25

3.6.2

4.0.875

Answer:

b<16

Step-by-step explanation:

b/4<4. Multiply 4 on both sides. b has to be less than 16.

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

The amount of interest paid so far (over the last 10 years) is $78,636 and the amount of interest you will pay over the life of the new loan is $99,999.17.

In order to find out how much interest has been paid so far, we need to find out how much the initial loan was. The down payment made on the home was 10%, so:

Down payment = 10% of $110,000

Down payment = 0.10 × $110,000 = $11,000

So the initial loan was the difference between the price of the home and the down payment:

Initial loan = $110,000 - $11,000

Initial loan = $99,000

Now we can use the loan balance and the initial loan to find out how much of the loan has been paid off in 10 years:

Amount paid off so far = Initial loan - Loan balance

Amount paid off so far = $99,000 - $88,536

Amount paid off so far = $10,464

Now we can find out what percentage of the initial loan that is:

Percent paid off so far = (Amount paid off so far / Initial loan) × 100

Percent paid off so far = ($10,464 / $99,000) × 100

Percent paid off so far = 10.56%

So the amount of interest paid so far is the total payments made minus the amount paid off:

Interest paid so far = Total payments - Amount paid off

Interest paid so far = ($99,000 × 0.09 × 10) - $10,464

Interest paid so far = $89,100 - $10,464

Interest paid so far = $78,636

So the interest paid so far is $78,636.

The life of the new loan is the remaining 20 years of the original 30-year loan. The interest rate is still 9%. To find out how much interest will be paid over the life of the new loan, we can use an online loan calculator or a spreadsheet program like Microsoft Excel.

Using an online loan calculator with a loan amount of $88,536, a term of 20 years, and an interest rate of 9%, we get the following result:

Total payments over life of loan = $188,535.17

Principal paid over life of loan = $88,536.00

Interest paid over life of loan = $99,999.17

So the interest paid over the life of the new loan is $99,999.17.

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Answer:

Yes ∆OAB= ∆0QP

Step-by-step explanation:

Because in given traingle OB= OQ also OA= OP ••(O is mid point )

AB=PQ because this traingle are equal therefore sides are also equal

Answer:

m∠HLI = m∠ILM

Step-by-step explanation:

The cliff divers dive headfirst from the top of cliff. 1/2 or 0.5 second is the time period will the diver's height exceed that of the cliff.

An object that moves along the vertical axis due to gravitational acceleration is called a free-falling object. The free fall position is given by the following equation of motion:

yₜ = y₀ + v₀t + 1/2(at²)

Where y₀--> the initial height of the object

v₀--> the initial velocity

t --> time

a --> the acceleration due to gravity and is equal to a = g = - 32.2 ft²/sec

We have given that,

Initial velocity of divers , v₀ = 8 feet/sec

Initial Height of top of cliff , s₀ = 87 feet

position function, s(t) = - 16t²+ v₀t +s₀

Plugging all known values in above position function,

s(t) = -16 t² + 8t + 87

The the diver's height exceed that of the cliff means, s(t) > 87

=> -16 t² + 8t + 87 > 87

Subtract 87 from both sides, we get

-16t^2 + 8t > 0 , now we solve this inequality by changing it in a equality,

-16 t² + 8t = 0

=> -8 t( 2t - 1) = 0 => -8t = 0 , 2t -1 = 0

=> either t = 0 or t = 1/2

So the first half second, the person is above the height of the cliff.

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Complete question:

Use the position function s(t)-16t2+ vot +so position, t time) to answer the following: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet above the Pacific Ocean. During which time period will a diver's height exceed that of the cliff? (vo initial velocity, so initial.

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

------------------

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

Using the law of cosines, it is found that the length of side AB is of AB = 13.

The law of cosines states that we can find the angle C of a triangle as follows:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

in which:

For this problem, the parameters are:

C = 120, a = 8, b = 7.

Hence:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

\(c^2 = 8^2 + 7^2 - 2(8)(7)\cos{120^\circ}\)

\(c^2 = 169\)

\(c = \sqrt{169}\)

c = 13.

Hence AB = 13.

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Answer:

X ≠0

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edg '22

The amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

We should know that we have to deduct the tip for excellent driving g before adding up the tax to the total first.

The given parameters are

Bill =$65

Tax rate= 7%

Tip for excellent driving =20%

First deduct 0.2*65

=13

Balance = $(65-13)

Balance= $52.00

Tax = 0.07*65

Tax = 4.55

Then $(52.00+4.55)

= $56.55

In conclusion, the amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

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The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:

θ = s / r,

where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:

θ = 10 cm / 7 cm.

Simplifying the expression, we get:

θ ≈ 1.42857 radians.

Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

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The general solution to the given differential equation y' - 2y = 3e^t is y(t) = c1×e^(2t) + (3/4)×e^t.

The given differential equation is:

y' - 2y = 3e^t

To find the general solution of the differential equation, we can start by solving the homogeneous equation:

y' - 2y = 0

The characteristic equation is:

r - 2 = 0

So the general solution to the homogeneous equation is:

y_h(t) = c1×e^(2t)

where c1 is a constant.

To find a particular solution to the non-homogeneous equation, we can use the method of undetermined coefficients. We guess a solution of the form:

y_p(t) = A×e^t

where A is a constant to be determined. We then take the derivative of y_p(t):

y_p'(t) = A×e^t

and substitute into the differential equation:

y' - 2y = 3e^t

(Ae^t) - 2(Ae^t) = 3e^t

Simplifying, we get:

A = 3/4

So the particular solution is:

y_p(t) = (3/4)×e^t

The general solution to the non-homogeneous equation is:

y(t) = y_h(t) + y_p(t) = c1×e^(2t) + (3/4)×e^t

To determine how solutions behave as t approaches infinity, we can look at the behavior of the exponential terms in the general solution. As t approaches infinity, the term e^(2t) grows much faster than e^t, so the dominant term in the general solution is:

y(t) ≈ c1×e^(2t)

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The given question is incomplete, the complete question is:

Find the general solution of the given differential equation and use it to determine how solutions behave as y'-2y=3e^t

The given data sets, Data Set 3 and Data Set 4, consist of four variables: a (months), w (lbs), t (s), and v (m/s). Each variable is associated with different values.

The given data sets exhibit relationships between the variables a, w, t, and v. From Data Set 3, we can observe that as the number of months (a) increases, the weight (w) in pounds also increases. This suggests a positive correlation between the two variables. Similarly, in Data Set 4, there is a relationship between time (t) in seconds and velocity (v) in meters per second. As time increases, the velocity also increases, indicating a positive correlation between these variables.

By analyzing the data sets, we can infer that the weight of an object tends to increase as time progresses. Additionally, the velocity of an object also increases over time. These relationships may indicate the growth or acceleration of a certain phenomenon being studied. However, without further context or specific information about the objects or phenomena being measured, it is challenging to draw more precise conclusions. To gain a deeper understanding, additional analysis or domain knowledge would be necessary.

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Answer:

since they said ‘when’ x = -2

just substitute -2 for x

x^3 - x + 4

substitute to get

-2^3 - (-2) + 4

which becomes

-8 + 2 + 4 = -8+6 = -2

Answer:

C, -2

Step-by-step explanation:

-2 x -2 x -2 = -8

-8- -2 = -8 + 2 = -6

-6+4=-2

Answer:

24,649 liters

Step-by-step explanation:

V = pi * h * r^2

V = pi * 250 * 100^2

V = 3.14 * 7850000

= 24,649,000 cm^3

1 liter =. 1000 cm3

X. =. 24,649,000 (cross multiplication)

24,649,000/1000=24,649 liters

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

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Answer:

2

Step-by-step explanation:

9 ÷ 3 - 2 × 2

3 - 2 × 2

1 × 2

2

The probability of at least one of the next four randomly selected births being a boy can be calculated as approximately 0.992.

To find the probability of at least one boy, we can calculate the probability of the complementary event, which is the probability of all four births being girls.

The probability of a single birth being a girl is 0.473, so the probability of all four births being girls is :

\((0.473)^4 = 0.049\)

Therefore, the probability of at least one boy is 1 - 0.049 = 0.951. However, this probability represents the chance for any of the four births to be a boy. Since there are four opportunities for a boy to be born, we need to consider the complement of no boy being born in any of the four births, which is \((1 - 0.951)^4\)≈ \(0.992\\\). Hence, the probability that at least one of the next four births is a boy is approximately 0.992.

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Answer:

14.99m= d

Step-by-step explanation:

C = πd                       Use this equation to find the circumference of a circle

47.1 = πd                   Divide both sides by π

14.99= d

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Solution

We are given

Distance = 5/2 miles

Time = 1/4 hours

Answer:

The speed would \(10~\text{mph}\).

Step-by-step explanation:

Step 1: State the formulas required

The formula for speed is:

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\)

Step 2: Substitute the values into the formula

The distance is \(\frac{5}{2}~\text{miles}\) and the time is \(\frac{1}{4}~\text{hours}\).

Substitute these values into the formula:

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\)

Step 3: Calculate

\(\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\div {\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\times 4\\\\\text{Speed}={\frac{20}{2}}\\\\\text{Speed}=10\)

So, the speed is  \(10~\text{miles per hour}\)  or  \(10~\text{mph}\).

Answer:

Dark blue = 44 in

Red = 33 in

Purple = 75 in

Green = 40 in

Light blue = 46 in

Answer:

im just answering this to give the other person brainliest

Step-by-step explanation:

Histogram would be the most appropriate graphical representation for the collected data,  because it shows each individual data point.

A histogram is a graphical representation of a distribution of continuous data that is used to visualize the underlying frequency distribution of a set of data. Here are the general steps to plot a histogram:

1. Choose the appropriate number of bins: The first step in creating a histogram is to choose the number of bins or intervals that the data will be divided into. This decision is based on the number of data points and the range of the data.

2. Determine the range of the data: Determine the range of the data, which is the difference between the largest and smallest values in the data set.

3. Calculate the width of each bin: Divide the range of the data by the number of bins to determine the width of each bin.

4. Plot the horizontal axis: The horizontal axis of the histogram represents the range of the data and is divided into the chosen number of bins.

5. Plot the vertical axis: The vertical axis of the histogram represents the frequency or density of the data.

6. Count the number of observations: Count the number of observations that fall into each bin.

7. Plot the bars: Plot the bars of the histogram such that the height of each bar corresponds to the number of observations in each bin.

8. Label the axes and title: Finally, label the horizontal and vertical axes appropriately and give the histogram an appropriate title.

Histogram would be the most appropriate graphical representation for the collected data of milligrams of Vitamin C from 100 different gummy vitamins sold in the world.

A histogram is a graph that displays the distribution of a continuous data set using bars. It is useful for showing the frequency distribution of a large data set and helps to identify patterns or outliers in the data.

In this case, the milligrams of Vitamin C is a continuous variable, and the histogram would display the frequency of different milligram ranges. It would show the concentration range of the vitamin C in the gummy vitamins sold worldwide and provide an overall picture of the distribution of the data.

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\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{half~empty}{25~\hfill }\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\\ \end{cases}\)

\(25=50(1-0.04)^t\implies \cfrac{25}{50}=(1-0.04)^t\implies \cfrac{1}{2}=0.96^t \\\\\\ \log\left( \cfrac{1}{2} \right)=\log(0.96^t)\implies \log\left( \cfrac{1}{2} \right)=t\log(0.96) \\\\\\ \cfrac{\log\left( \frac{1}{2} \right)}{\log(0.96)}=t\implies 16.9797\approx t\implies \stackrel{hr}{17}\approx t\)

The altitudes of a triangle are the perpendicular lines drawn from each vertex of the triangle to the opposite side.

The altitudes of a triangle are special lines that are perpendicular to the sides of the triangle. They are drawn from each vertex of the triangle to the opposite side. These lines intersect the opposite side at right angles. The intersection point is called the orthocenter of the triangle. Each triangle has three altitudes, one from each vertex. The lengths of the altitudes can vary depending on the shape and size of the triangle.

The altitudes of a triangle are useful in many geometric calculations and constructions. They help determine the height of the triangle, which is important in finding the area of the triangle. The altitudes also play a role in proving geometric theorems and properties related to triangles.

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Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

Answer:

l= 234/r

Step-by-step explanation:

Given data

Surface area of cone=734.76 square meters.

The formula for the lateral surface area is

S.A=πrl

substitute the surface area

734.76 = 3.14*r*l

734.76/3.14=rl

234=rl

l= 234/r

Hence, with a value for r, the expression for the slant height l is given as

l= 234/r