Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?

The solution to the given quadratic expression using the completing the square is x = ±√-2 -5

This is a method of factoring quadratic expression. Given the quadratic function.

x^2 + 10x + 27 = 0

Subtract 27 from both sides

x^2 + 10x = -27

Complete the square

x^2 +10x +5^2 = -27 + 25

(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5

Hence the solution to the given quadratic expression using the completing the square is  x = ±√-2 -5

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Answer: 36

Step-by-step explanation:

If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.

Reason:

The first peak is at x = 0. The next peak over is at x = 1. The difference is 1-0 = 1 which is the period.

The period is the amount of time needed to repeat the cycle.

The first peak occurs at x = 0, and the next peak occurs at x = 1. The difference between these two points is  1, which represents the period of the function.

The period of a function can be determined by finding the difference between two consecutive peaks or troughs.

To determine the period step by step, we start by identifying the first peak or trough of the function. In this case, it is x = 0.

Then, check for the next peak or trough, which is x = 1.

The difference between these two points gives  the period, which is 1 unit of time.

The period represents the length of time required for the function to complete one full cycle and repeat itself. It is an important concept in understanding the periodic behavior of functions.

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Answer:

It depends

Step-by-step explanation:

Based on the given info it depends on how much the recipe calls for.  32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints.  I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)

Answer:7

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 8

15 + 8

= 23

Answer:

3/10

Step-by-step explanation:

Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10

Answer:

95.75

Step-by-step explanation:

Note the place values:

9   (tens place value)

5   (ones place value)

.

7   (tenths place value)

4   (hundredths place value)

6   (thousandths place value)

~

In this case, you want to round to the nearest hundredth place value. to round, look at the place value directly right of the place value you are solving for (in this case, the thousandths place value). The value is 6.

Note:

In this case, the value is 6, so you will round up:

95.746 rounded to the nearest hundredth is 95.75

~

Answer:

  $1.30

Step-by-step explanation:

As with costs anywhere, you find the total cost by multiplying the unit cost by the number of units. Here, a unit is 1 ounce of tomato sauce. 3.5 units are used in the recipe. The unit cost is given as $0.37 per ounce.

__

  cost of sauce = (cost per ounce) × (number of ounces)

  = ($0.37) × 3.5 = $1.295

This rounds up to $1.30.

The sauce for one portion costs $1.30.

Answer:

B. because of the structure in a non fiction would be how the text is organized and words that are used

Based on the triangle proportionality theorem, the true proportion regarding the figure is: B. i/j = h/k

The triangle proportionality theorem states that when two sides of a triangle is intersected by a line that is parallel to the third side of a triangle, the two sides intersected are therefore divided in the same ratio.

TU is parallel to QR. Therefore, based on the triangle proportionality theorem, TU will divide QS and RS in the following ratio: B. i/j = h/k

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Answer:

If the angle degree and size of triangle are similar or same, it is depicted as congruent.

Answer:

Below.

Step-by-step explanation:

11 18 25 is also an A. P. and the rule is add 7.

Answer:

11,18,25

Step-by-step explanation:

11,18,25 is the new arithmetic progression the rule is add 7

Answer:

108

Step-by-step explanation:

x and 2/3 x are linear pair angles.

Sum of linear pair angles is 180.

x + 2/3 x = 180

3x/3 + 2x/3 = 180

( 3x + 2x )/3 = 180

5x/3 = 180

Cross multiply,

5x = 180 * 3

Divide 5 on both sides,

x = ( 180 * 3 )/5

  = 36 * 3

x = 108

The null hypothesis is that the mean mass of vitamin c per tablet does not differ from 297 milligrams

The alternative hypothesis is that the mean mass of vitamin c per tablet differs from 297 milligrams.

The null hypothesis usually states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.

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3 yards 5 feet 6 inches X 7 is 33.833333 yards. The correct option is K- none of these.

First step

One yard is 36 inches hence:

3 yards 6 inches=(36 inches×3)+6 inches

3 yards 6 inches=108 inches+6 inches

3 yards 6 inches=114 inches

Second step

5 Feet to inches=5 ft×12

5 feet to inches=60 inches

Third step

Yards=[(114 inches+60 inches)×7]/ 36 inches

Yards=(174 inches×7)/ 36 inches

Yards=1,218 /36 inches

Yards=33.833333

Therefore the correct option is K- none of these.

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Answer:

81000000

[tex]\frac{90}{100} *90000000\\ 90*900000\\ 9*9=81\\ then write all the zeros[/tex]

Answer:

[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]

Step-by-step explanation:

Given number:

29,980,000,000

Rules:

The number will become:

2.998 × 10¹⁰

[tex]\rule[225]{225}{2}[/tex]

Answer:

B. 2.998 x 10¹⁰

Step-by-step explanation:

Given :

Steps in solving :

Solving :

Answer:

Direction: Opens Up

Vertex:(3,−14)

Focus:(3

Step-by-step explanation:

hope this help if not let me know have a blessed day

Considerando la multiplicando una fracción por un entero, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.

Para multiplicar una fracción por un número entero, se debe tener en cuenta que cualquier entero n puede ser escrito como la fracción [tex]\frac{n}{1}[/tex].

Luego, se multiplican los denominadores para obtener el denominador final y se multiplican los numeradores para obtener el numerador final. Es decir, en la multiplicación de fracciones se multiplican los numeradores de las fracciones y aparte los denominadores.

Para preparar un pastel, se necesita 1/3 de un paquete de 750 g de azúcar, 3/4 de un paquete de harina de kilo (1000 g), 3/5 de una barra de mantequilla de 200 g. Esto es:

Considerando la multiplicando de una fracción por un entero y resolviendo se obtiene:

Finalmente, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.

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The simpliication of the expression is:

[tex]\frac{3 + 5x}{\sqrt{96}*x - \sqrt{x} }[/tex]

We have the expression:

[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }[/tex]

Remember two things:

[tex]\sqrt{x^2} = x\\\\\sqrt{A*B} = \sqrt{A} *\sqrt{B}[/tex]

So we can rewrite the expression as:

[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }\\\\\frac{3 + 5x}{\sqrt{96}x - \sqrt{x} }[/tex]

And we can't simplify the equation anymore than that, so we stop there.

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Answer:

44ft^2

Step-by-step explanation:

Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)

3 x 2 = 6 ft^2

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

Answer:

Shown below.

Step-by-step explanation:

Test Marks          Tally          Frequency          Percentage

1                                                    8                   8/60 = 0.133

2                                                   6                   6/60 = 0.100

3                                                   5                   5/60 = 0.083

4                                                   5                   5/60 = 0.083

5                                                   5                   5/60 = 0.083

6                                                   8                   8/60 = 0.133

7                                                   6                   6/60 = 0.100

8                                                   7                   7/60 = 0.116

9                                                   4                   4/60 = 0.066

10                                                 5                   5/60 = 0.083

Total                                            59                 59/60 = 0.983

For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.

The probability of drawing a spade is 13/52 = 1/4

Because every hand has 13 cards and there is 52 cards in a deck

The probability of drawing a 7 is 4/52 or 1/13

Because there are seven 7 cards in a deck and 52 cards.

Answer:

17

Step-by-step explanation:

two negative signs makes a positive result

Differential Calculus, or Differentiation

If we have a function of one variable, ie of the form [tex]y=f(x)[/tex], then in its most basic form differentiation is the study of how a small change in one variable [tex]x[/tex] affects the other variable [tex]y[/tex].

As an real life example, consider the average speed of a moving car:

average speed = distance travelled/ time taken

Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.

Similarly if we wanted to find the gradient of the tangent to a curve at some particular point [tex]A[/tex] we would estimate the gradient by using a chord to a nearby point [tex]B[/tex]. As we move this nearby point [tex]B[/tex]  closer to the tangent point [tex]A[/tex] the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point [tex]B[/tex] infinitesimally close to the point [tex]A[/tex] o that we can calculate the actual gradient of the tangent.

Integral Calculus, or Integration

Suppose we wanted to calculate the area under a curve, [tex]y=f(x)[/tex],  bounded the [tex]x[/tex] =axis, and two points [tex]a[/tex] and [tex]b.[/tex] We could start by splitting the interval  [tex][a,b][/tex]  into [tex]n[/tex] regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase [tex]n[/tex] then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.

The Fundamental Theorem of Calculus

Given the above two notions, it would appear that there is no connection between them at first., The Fundamental Theorem of Calculus, on the other hand, is a theorem that connects the rate of change of the area function (which determines the area under a curve) to the function itself. In other words, the area function's derivative equals the function itself.

Visual for  Fundamental Theorem of Calculus for integrals:

[tex]\int\limits^b_af {(x)} \, dx =F(b)-F(a).[/tex]

where F is an antiderivative of [tex]f[/tex]

Physics, Chemistry, all engineering sciences, statistics, economics, finance, biology, computer science, linguistics, to name but a few, are all areas that would be a desert without the use of calculus.

Leibnitz and Newton worked to define the velocity of a planet moving on a curved trajectory. That was not possible without calculus, and both had to invent differential calculus. Differential calculus allows to compare quantities along a curve, and thus their time rate of change.

All of classical physics can be summarized in this operation. Given second derivative (which is Force/mass), find the position as a function of time. This process is called integration. Half of calculus is made with integration, the other half with derivation. All of classical physics rests on these two parts of the calculus.

Quantum mechanics, quantum field theory, electromagnetism, fluid mechanics all use integration and derivation and much more. I rest my case. I hope this helps you gauge the place that calculus occupies in science.

Answer:

so what i think is that *friendship​Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the equation in steps below

Correct choice is B

The option (C)  20 – 25, and option (D) 5×25 are 4 times smaller than (20 × 100) option (C) and (D) are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, —, ×, and ÷.

We have:

= (20 x 100)

= 2000

4 times smaller will be:

=2000/4

= 500

A) (20×100) 4 = 4000

B) 204×100 = 20400

C) 20 – 25 = -5

D) 5×25​ = 100

-5 < 500

100 < 500

Thus, the option (C)  20 – 25, and option (D) 5×25 are 4 times smaller than (20 × 100) option (C) and (D) are correct.

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spanish 45 kilis la respuesta seria que los yolander son 53kilos

Step-by-step explanation:

b is the answer y=50+12x/x

As we can get the information

the registration fee is fixed, but the dues is

increased with the Month.

so the average monthly cost

answer y=50+12x/x