Un bibliotecario tuvo que empacar 28 libros en cajas. Si cada caja
puede contener 6 libros, ¿cuántas cajas necesita el bibliotecario?

Respuesta:

Answer:

5:20pm

Step-by-step explanation:

120+100=320minutes

320/60=5hrs 20min

12+5:20= 17:20pm or 5:20pm

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

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The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

Always true

Step-by-step explanation:

The calculated values of x and y in the figure are x = 2 and y = 4

from the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

REPOST THE QUESTION WITH THE WHOLE QUESTION IN FRAME

Step-by-step explanation:

Answer:

Step-by-step explanation:

The logical sequence would be II, III and then I.

We are stating the points are on the same line, then stating that the straight line is forming a 180° angle.

It is logical after these two steps to state the line is cut by two parallel lines and move to next steps of the proof.

Answer:

Tu respuesta

Step-by-step explanation:

1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/

Answer:

About 786 would be expected to yield more than 180 bushels of corn per acre

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean  and standard deviation , the zscore of a measure X is given by:

Answer:

\(\frac{2}{3}>\frac{5}{12}>\frac{3}{8}\)

Step-by-step explanation:

\(\frac{2}{3}=\frac{16}{24} \\ \\ \frac{3}{8}=\frac{9}{24} \\ \\ \frac{5}{12}=\frac{10}{24} \\ \\ \frac{16}{24}>\frac{10}{24}>\frac{9}{24} \implies \frac{2}{3}>\frac{5}{12}>\frac{3}{8}\)

To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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Answer:

Step-by-step explanation:

we have

5apples+4 oranges=10

5apples+5oranges=11

from here we can say

5a=10-4 oranges

replace in the second equation

10-4 oranges+5oranges=11

1 orange=1 dollar

that means that 5apples =6 dollars

1apple=1.20 dollars

Answer 8400 divided by 7 is 1200

9514 1404 393

Answer:

  5.3

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . where b is the base length and h is the height.

The figure gives an area and shows b=h, so we have ...

  14 ft² = 1/2(h)(h)

  28 ft² = h² . . . . . . . . . multiply by 2

  h = √28 ft ≈ 5.3 ft . . . . . take the square root

The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

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The actual house was diminished by a factor of 0.0667

Given the following from the information

Required

The scale factor is the ratio of the actual height to the final height

\(k = \frac{h}{H}\\ k=\frac{6.8}{102}\\ k=0.0667\)

This shows that the actual house was diminished by a factor of 0.0667

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Answer:

-2

Step-by-step explanation:

Answer:

Empirical Rule

Step-by-step explanation:

The Empirical Rule is also known as the Sigma rule or the 68-95-99.7% rule. The rule state that for a given data set, 68% of all data values will fall within the first standard deviation from the mean. The rule also states that 95% of all data values would fall within two standard deviations, while almost all the data which amounts to about 99.7% will fall within three standard deviations.

The empirical rule is used in forecasting based on the given datasets because it is a certainty that after obtaining the standard deviation, data values can be assigned to the categories they fall into, under the Empirical rule.

The monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

To calculate the monthly loan payment, we need to use the loan amount, down payment, interest rate, and term.

Loan amount: $60,000

Down payment: $4,000

Principal amount: Loan amount - Down payment = $60,000 - $4,000 = $56,000

Interest rate: 13% per annum (or 0.13 as a decimal)

Monthly interest rate: 13% / 12 = 0.0133 (approx.)

Term: 60 months (5 years)

Now, let's calculate the monthly loan payment using the formula for a fixed-rate loan:

Monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

P = Principal amount

r = Monthly interest rate

n = Total number of payments

Substituting the values into the formula:

Monthly payment = $56,000 * (0.0133 * (1 + 0.0133)^60) / ((1 + 0.0133)^60 - 1)

Using a calculator, the approximate monthly loan payment comes out to be $1,289.49.

Therefore, the monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

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Answer:

231002 = (2340)25 · 232 ≡ 125 · 529 = 529 ≡ 37 mod 41.

Answer: 69,960  divide  132,000 by 53%  you get 69.960

Step-by-step explanation:

The slope of the relation with the equation 5x - 3y = 4 is 5/3

To find the slope of the line whose equation is 5x - 3y = 4, we need to rearrange the equation to be in slope-intercept form, y = mx + b, where m is the slope of the line.

First, we'll subtract 5x from both sides:

-3y = -5x + 4

Next, we'll divide both sides by -3 to isolate y:

y = (5/3)x - 4/3

Now we can see that the slope of the line is 5/3.

So the correct answer is: 5/3

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The pairs of angles that are vertical angles in the figure are R and T.

In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.

Looking at the given options:

R and T are vertical angles because they are formed by the intersection of lines.

P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.

Therefore, the pairs of angles that are vertical angles in the figure are:

R and T

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Answer:

Hey there!

40 is 25% of 120.

We can see that 30 is 25% of 120, because 0.25(120)=30.

Hope this helps :)

Answer:

30 is 25% of 120

Step-by-step explanation:

What is 25% of 120

Is means equals and of means multiply

What = 25% * 120

What = .25 * 120

What =30

30 is 25% of 120

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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The circumference C of a circle with diameter d is given by:

Therefore, the circumference divided by π gives the diameter.

Hence the correct choice is:

Diameter

C

Answer:

C. Diameter

Notes:

I'm probably not going to get Brainliest, but could you please just think about it? Maybe? It's okay if you don't.

Answer:

\(x = \frac{y - 4}{7}\)

Step-by-step explanation:

\(y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x\)

Answer:

See attachment

Step-by-step explanation:

Since you didn't give a picture and I don't know which leg is a, I showed it both ways in the attachment.

Answer:

package 2

Step-by-step explanation:

package 2 is more practical and the circle could fit perfectly in it's other side.