In a class of 34 students
12 study German
• 25 study Spanish
6 do not study either language.
One student in the class is selected at random.
Find the probability that this student studies both languages.

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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The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,

y=logx

A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.

y=logx +5

Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

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Answer:

yeah its a

Step-by-step explanation:

yw

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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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:

[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:

154

Step-by-step explanation:

130 + 24 = 154

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 key

78.4

Step-by-step explanation:

Multiply 7 x 4 =28

Then Multiply  28 x 2.8 = 78.4

That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞  hope that helps out

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.

Given the expression

x^2 - 1 = 399

Add 1 to both sides

x^2 = 399 + 1

x^2. = 400

Take the square root of both sides

x = ±√400
x = ±20

Hence the solution to the given quadratic equation are -20 and 20

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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:

a. (2x - 3)(x - 4)

b. 17 m, 6 m

c. 46 m

Step-by-step explanation:

a.

2x² -  11x + 12 = (2x - 3)(x - 4)

b.

2x - 3 = 2(10) - 3 = 17

x - 4 = 10 - 4 = 6

c.

P = 2L + 2W = 2(17) + 2(6) = 46

Answer:

y=3x+7

Step-by-step explanation:

take two points, (1,13) (2,19)

subtract using slope formula

19-13 2-1= 6/1 -> 6-> 3

find your y intercept (b) by using the first term in the 7 row (7)

Answer:

y = 3x +

Step-by-step explanation:

The equation of the line is given by:

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

The equation of a line, in slope-intercept formula, has the following format:

In which

m is the slope, that is, how much y changes when x changes by 1.

b is the y-intercept, that is, the value of y when x = 0.

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

Given two points (x,y), the slope is the change in y divided by the change in x.

We have points (-1, -1) and (3,11). Thus:

Then

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

Point (-1,-1) means that when , and we use this to find b.

Thus

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Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

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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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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median = the middle number {always remember this}.

To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).

so we are given :

20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .

we rearrange in ascending order (I chose ascending order).

Soo...

13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.

so we cancel out (we cancel out left number, right number)

I mean

cancel out 13, cancel out 23

cancel out 15, cancel out 22

cancel out 15, cancel out 20 and so on.....

after that we will be left with 2 numbers which are 17 and 17.

NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)

so...

17 + 17 = 34

34/2 = 17.

the median of the set of numbers is equal to 17.

Hope this helps.

Good luck ✅.

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

Work Shown:

Volume = length*width*height

Volume = 3*7*5

Volume = 105 cubic feet

length × breadth × height

7 × 3 × 5

105 cubic feet

hope it helps...!!!

Answer:

less valuable

Step-by-step explanation:

it will be reduced when time goes by

Rand will deprecate

Answer:

(b)  33919

(c)  8 ¹/₃

Step-by-step explanation:

⇒ 317 × 107 = (300 + 10 + 7)(100 + 7)

                    = 300(100 + 7) + 10(100 + 7) + 7(100 + 7)

                    = 30000 + 2100 + 1000 + 70 + 700 + 49

                    = 30000 + 2000 + 100 + 1000 + 70 + 700 + 40 + 9

                    = 30000 + 2000 + 1000+ 700 + 100 + 70 + 40 + 9

                    = 30000 + 3000 + 800 + 110 + 9

                    = 30000 + 3000 + 800 + 100 + 10 + 9

                    = 30000 + 3000 + 900 + 10 + 9

                    = 33919

[tex]\begin{aligned} 5\frac{2}{3}+3\frac{1}{2}-\frac{5}{6}&=\dfrac{5 \times3+2}{3}+\dfrac{3 \times 2+1}{2}-\dfrac{5}{6}\\\\&=\dfrac{17}{3}+\dfrac{7}{2}-\dfrac{5}{6}\\\\& =\dfrac{17 \times 2}{3\times 2}+\dfrac{7\times 3}{2\times 3}-\dfrac{5}{6}\\\\ & = \dfrac{34}{6}+\dfrac{21}{6}-\dfrac{5}{6}\\\\ & = \dfrac{34+21-5}{6}\\\\ & = \dfrac{50}{6}\\\\&=8\frac{1}{3}\end{aligned}[/tex]

Answer: please mark as brainliest

Step-by-step explanation: a) xz+1 = 2 x 5 + 1 = 11

b) 4x+y = 4 x 2 + (-1) = 7

c) 2 - 2 x -1 x 5= 12

d) 2(-1 + 5) = 2 x 4= 8

e) 2sq - 3 x 5= 4 - 15= -11

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:

last option is correct answer

Step-by-step explanation:

[tex]perimeter = 2(l + w) \\ = 2( \frac{5x + 10}{2x + 5} + \frac{x - 2}{2x + 5} ) \\ = 2( \frac{5x + 10 + x - 2}{2x + 5} ) \\ = 2( \frac{6x + 8}{2x + 5} ) \\ = \frac{12x + 16}{2x + 16} [/tex]

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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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:

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

Answer:

x=38 degrees

Step-by-step explanation:

Vertical angles are congruent. In the image, angle x is vertical to the angle that is given. Therefore, x=38 degrees