Express your answer as a mixed number in simplest form

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-1) and (4, 2).

The distance is

\(d = \sqrt{ ({ - 3 - 4})^{2} + ({ - 1 - 2})^{2} } \\ = \sqrt{ ({ - 7})^{2} + ({ - 3 })^{2} } \\ = \sqrt{49 + 9} \\ = \sqrt{58} \\ = 7.615773\)

We have the final answer as

Hope this helps you

Hi there!

\(\large\boxed{x = 8}\)

Recall that all angles in a triangle sum up to 180°, therefore:

(9x + 3) + (5x - 2) + (11x - 21) = 180

Combine like terms:

9x + 5x + 11x + 3 - 2 - 21 = 180

25x -20 = 180

Add 20 to both sides:

25x = 200

Divide both sides by 25:

x = 8°

Answer:

Step-by-step explanation:

we know that the sum of the angles in a triangle is 180

(5x-2)+(9x+3)+(11x-21)=180

=5x-2+9x+3+11x-21=180

25x=180+20

25x=200

x=8

The probability of a family owning a cat given that the family owns a dog is 0.164

In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

Here

probability of a family owning a dog is 0.91,

P(dog) = 0.91

probability of a family owning a cat and a dog is 0.15,

P(dog ∩ cat) = 0.15

according to conditional probability

the probability of occurring of B after event A takes place is

P(A|B)=P(A∩B)/P(A)

so, the probability of a family owning a cat given that the family owns a dog is

        P(dog | cat) =P(dog∩cat)/P(dog)

                            = 0.15/0.91

                            =0.164

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Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

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When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

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The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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In mathematics, Fourier transform is an important concept that has various applications in different branches of science and engineering. The Fourier transform of a function represents its decomposition into different frequencies.

The Fourier transform of the given function is provided below. The Fourier transform of the given function x(t) = e-6|t-1| is X(jω) = 2/(36 + ω^2)

Given function, x(t) = e-6|t-1|

The Fourier transform of the given function is X(jω) = ∫e-6|t-1| e-jωt dt, [-∞, ∞]

To solve the integral, we have to use the Fourier transform properties. We know that the Fourier transform of a function, f(t) is given by F(jω) = ∫f(t) e-jωt dt, [-∞, ∞] So, by using the property of the Fourier transform of the absolute value of a function, we get the given Fourier transform as X(jω) = 2/(36 + ω^2)

Thus, the Fourier transform of x(t) = e-6|t-1| is

X(jω) = 2/(36 + ω^2). In mathematics, Fourier transform is a mathematical technique used to transform a function from time domain to frequency domain. Fourier transform finds its application in various branches of science and engineering such as signal processing, electrical engineering, image processing, and so on. The Fourier transform of a function, f(t) is given byF(jω) = ∫f(t) e-jωt dt, [-∞, ∞]The Fourier transform of the given function, x(t) = e-6|t-1| is

X(jω) = 2/(36 + ω^2). To solve the integral, we have to use the Fourier transform properties. Using these properties and by solving the integral, we get the Fourier transform of the given function as X(jω) = 2/(36 + ω^2).

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer: 6.5

Step-by-step explanation:

1 (to the power of 5) is 1 and 5 (to the power of 2) is 25.

25 (to the power of 0) is 1 and 5 (to the power of 1) is 5.

1 + 25 = 26 and 1 - 5 = -4.

Since the slash means division in math and any number to the power of 0 is always 1.

The answer would be: -6.5.

The solution for the expression  \(\frac{(1^5 + 5^2)}{(25^0 - 5^1)}\) after simplifying is,

\(\frac{(1^5 + 5^2)}{(25^0 - 5^1)} = \frac{- 13}{2}\)

We have to give that,

The expression to simplify is,

⇒ \(\frac{(1^5 + 5^2)}{(25^0 - 5^1)}\)

Simplify the expression by simplifying each term in a given fraction,

⇒ \(\frac{(1^5 + 5^2)}{(25^0 - 5^1)}\)

Since,

1⁵ = 1

5² = 5 × 5

= 25

25⁰ = 25

5¹ = 5

Substitute all the values,

⇒ \(\frac{(1 + 25)}{(1 - 5)}\)

⇒ \(\frac{26}{-4}\)

⇒ \(\frac{-26}{4}\)

Simplify the fraction in simplest form,

⇒ \(\frac{- 13}{2}\)

Hence, The solution is, - 13/2

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i know its the frist or second one i did the test i am also in flvs :)

Answer: 32

Step-by-step explanation:

From the question, we are informed that Tenisha successfully made 24 out of 30 free throws during the first half of her basketball season. The fraction for her successful free throws will be:

= 24/30

= 4/5

If she shoots 40 free throws during the second half of the season and she continues to make them at the same rate, the number of free throws that she should Tenisha expect to make during the second half of the season will be:

= 4/5 × 40

= 32

Answer:

5-0 =15 by using shuvam theorY

Answer:

The answer is D

Step-by-step explanation:

When doing this type of equation you would multiply the exponents and keep the base the same

Answer:

option D

Step-by-step explanation:

\((3d^4)^{2}\)

multiply the powers you will get,

\(3d^{8}\)

therefore, option D is the correct option

hope it helps you!!

Answer:

no help sorry

Step-by-step explanation:

ok fine help do find the x method

Answer:

12345678/9

= 1.371746...

12345678910/11

=1.12233446......

other i dont know

Answer:

y = 2

Step-by-step explanation:

-2y + 1 = y-5

-2 - y = -5 - 1

-3y = -6

y = -6 ÷ -3

y = 2

Answer:

in explanation

Step-by-step explanation:

0.27227222722227

The next 6 digits are

0.27227222722227222227

Answer

x=5 y=2

Step-by-step explanation:

Answer:

Explanation:

We want to write 47 in base 3

To do this, we follow the steps below:

47/3 = 15 Remainder 2

15/3 = 5 Remainder 0

5/3 = 1 Remainder 2

1/3 = 0 Remainder 1

Now, to base 3, we write the remainders, starting from the last one to the first one.

Answer:

Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.

Part B - y = 30x + 20

Step-by-step explanation:

Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.

Part B; The function for this situation is;

⇒ f (x) = 30x + 20

Where, x is number of report card.

What is mean by Function?

A relation between a set of inputs having one output each is called a function.

Given that;

James earns 20 allowance every month.

And, Earn 30 for each a on his report card.

Now,

Let number of report card = x

Then, We can formulate the equation as;

⇒ f (x) = 30x + 20

Where, x is number of report card.

Hence, The independent variable is monthly allowance and the dependent variables is earns in report card.

Thus,

Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.

Part B; The function for this situation is;

⇒ f (x) = 30x + 20

Where, x is number of report card.

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Using SOH CAH TOA, the value of hypotenuse, h, is 29.1 cm

From the question, we are to calculate the value of the hypotenuse.

In the diagram, h represents the hypotenuse

Using SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

From the given information,

Angle = 31°

Opposite = 15 cm

Hypotenuse = h

Thus,

sin (31°) = 15 cm / h

0.515038 = 15 cm / h

Then,

h = 15 / 0.515038 cm

h = 29.12406 cm

h ≈ 29.1 cm

Hence,

The value of h is 29.1 cm

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Answer:

m = 1\(\frac{1}{7}\), y = 1\(\frac{1}{7}\)x + 10

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)

m = \(\frac{rise}{run}\)

   = \(\frac{2-10}{7-0}\)

   = \(\frac{8}{7}\)

   = 1\(\frac{1}{7}\)

Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1\(\frac{1}{7}\)x + 10.

Using the slope of the linear function, it is found that Mr. Mole descends 2.3 meters per minute.

A linear function is modeled by:

y = mx + b

In which:

In this problem, Mr. Mole's altitude in meters after t minutes is given by:

A = -2.3t - 7.

The rate of change is the slope of m = -2.3, hence, Mr. Mole descends 2.3 meters per minute.

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Step-by-step explanation:

7. I believe it's independent because it makes sense and if it was dependent it wouldn't make senses.

8.For T you have 2 (Ts) so that give you a 2/8= 25% so you would basically make those Ts disappear and focus on 1 out of 6 and you'd get a 16.67% chance

9. 14.2857%

10. I don't understand ;-; am I suppose to multiply or see the chance if % it would get

I'm sorry;-;

cosine(71) = sine(19)

explanation:

cos(x) = cos(90-y) = sine(y) x<90

cos(71) = cos(90-19) = sine(19)

sine(71) = cosine(19)

explanation:

sin(x) = sin(90-y) = cos(y) x<90

sin(71) = sin(90-19) = cose(19)

Answer:

(-2,4)

Step-by-step explanation:

If you have a scientific calculator, go to the Y= button at the top left. Put your equation into the calculator. Next, Press the buttons 2nd and then Graph (which will be labeled "TABLE" in blue ontop of the button 'Graph'). You can check all your answers on the table. (-2,4) is the only valid answer because on the table, the x-value is 2 and the y-value is 4. When you look at the ordered pairs on your calculator, your y-value are all fractions.

Hope this helped! Let me know in the comments if you got it right or not.

(-2,4)

apparently only one seems to be correct.

Answer:

1, 2, and 8

Step-by-step explanation:

Based on the information, the volume of this box is 65776 cm³.

The volume of a box is given by the formula:

V = lwh

We are given that the sum of the width, height, and length must be less than or equal to 258 cm. This can be written as:

l + w + h <= 258

We are given that the sum of l, w, and h must be less than or equal to 258. This means that each of l, w, and h must be less than or equal to 258/3 = 86 cm.

Therefore, the dimensions of the box with maximum volume are 86 cm by 86 cm by 86 cm.

The volume of this box is:

V = 86 cm * 86 cm * 86 cm

= 65776 cm³

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