Solve -1 7/8 * (-2 2/5)

\( - 12 {e}^{ - x } + 8 = 7 \\ - 12 {e}^{x} = - 1 \\ {e}^{ - x} = \frac{ - 1}{ - 12} \\ {e}^{ - x} = \frac{1}{12} \\ \)

taking e to the other side will equal ln , bringing -x down

\( - x = ln( \frac{1}{12}) \\ x = - ln( \frac{1}{12} )\)

insert this in your calculator, you will get :

\(x = 2.484906... \\ \)

rounding off to nearest thousand :

\(x = 2.485\)

hope this helps...

Answer:

"dadadaddda"

Step-by-step explanation:

"daddadada"

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Given,

Let's solve it now :-

\( \sf \: c - 5d \\ \\ \sf \: Substitute \: the \: values \: of \: c \: and \: d \\ \\ \sf c - 5d \\ \rightarrow \sf(21) - 5(4) \\ \sf \rightarrow21 - 20 \\ = \boxed{\boxed{\bf \: 1}}\)

Enlarged area = x^2 + 11x + 24 ft²

Original area =

a + 24 ft^2 = x^2 + 11x + 24 ft²

a = x^2 + 11x + 24 ft² - 24 ft^2

a = x^2 + 11x

Factored:

a = x (x + 11 )

Dimensions before the increase

x ft by (x-11) ft

Answer: she will receive a grade of zero if she gets one more question incorrect.

Step-by-step explanation: She gets 2 questions correct which equals 4 points and 3 questions wrong which is minus 3 points

4-3=1 so if she were to get one more incorrect she would receive a zero

Answer:

12 movies

Step-by-step explanation:

About 12 movies in a year in order to pay the same amount that year

Answer:

a = -27.98

Step-by-step explanation:

Answer:

a=-27.98

Step-by-step explanation:

cancel out the 27.98 with the negative and you get 0

a) The best estimate of the probability of rolling a "6" with this die is

0.2 (100/500).

My best estimate of the probability of rolling a “6” is 20%. This is calculated by taking the number of “6”s rolled in the 500 trials (100) and dividing it by the total number of trials (500).

b) If you roll this die 30 times, you can expect to get 6 "6"s (0.2 x 30).

If I roll this die 30 times, I expect to get 6 “6”s. This is calculated by taking the probability of rolling a “6” (20%) and multiplying it by the number of trials (30).

c) If you roll a fair die 30 times, you can expect to get 5 "6"s (1/6 x 30).

If I roll a fair die 30 times instead of the “unfair” die, I expect to get 5 “6”s. This is calculated by taking the probability of rolling a “6” on a fair die (16.7%) and multiplying it by the number of trials (30).

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The  techniques that can be used to best explain for each equation that I have created are:

A)  For  graphing -  This is often used in checking if your answer is correct, if the math is known to be a little tedious, graphing is recommended

(b) For factoring:  x^2 -3x +4 '

Where: (x-4)(x+1)=0

Then x=-1, 4

(c) For  square root method:   x^2 = 64

Therefore x = + or - \(-\sqrt{64}\) = + or - 8

(d) For  completing the square:  x^2 + 4x = 11 and x^2 +4x + 4

Note that:  x^2 +4x + 4

= x^2 + 4x = -4

= x^2 +4x + 4 = -4 + 4

= (x+2)^2 = 0

So, x = -2

(e) For quadratic formula: 6x² + 7x -19 =0  

x= [-b + or - sqr(b² - 4ac)]/2a

Note that b=7

a=6

c=-19

Therefore

x= [-7+ or - sqr(49+4(6)(9)]/2

2.  if the discriminant is said to be negative,   then the equation is one that is made up of two imaginary or complex solutions.

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See full question below

You have learned several techniques for solving quadratic equations. Create an equation that would be best for each technique listed below. Then explain why that technique would be best for each equation that you created.

a. graphing

b. factoring

c. square root method

d. completing the square

e. quadratic formula

2. What is the discriminant and what happens if you are solving and the discriminant turns out to be negative?

Answer:

Step-by-step explanation:

1/2 * 1/4 = 1/8

When you divide fractions you can multiply them if you use el reciproco ( not sure how to tell it in English sorry)

Hope this help

The equivalent multiplication equation is 1/2 x 1/4.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/2 ÷ 4​

As, the fraction does not support division.

So, to perform the division we change the division sign into multiplication sign and reciprocate the number on the right side of division sign.

Then, 1/2 ÷ 4​

= 1/2 x 1/4

= 1/8

Hence, the equivalent multiplication equation is 1/2 x 1/4.

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The simplified fraction of the subtraction -1 3/5 - (-2 7/8) is 51/40.

To subtract -1 3/5 from -2 7/8, we first need to find a common denominator for the fractions.

The common denominator for 5 and 8 is 40.

Converting the mixed numbers to improper fractions:

-1 3/5 = -8/5

-2 7/8 = -23/8

Now,

-8/5 - (-23/8)

To simplify,

-8/5 + 23/8

Now, we can rewrite the fractions with the common denominator:

(-8/5) × (8/8) + (23/8) × (5/5)

Simplifying:

-64/40 + 115/40  = 51/40

Therefore, the simplified fraction of -1 3/5 - (-2 7/8) is 51/40.

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According to the given data we have the following:

area of the parallelogram=27 square meters

b=2x-5

h=3

Therefore in order to calculate the value of x we would use the formula to calculate the area.

So, if area=b*h

Hence, 27=(2x-5)*3

27=10x-15

27+15=10x

42=10x

x=42/10

x=4.2

Therefore, the value of the x would be 4.2

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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The area of the circular sector is equal to 49π / 10 square units.

In this problem we find the case of a circular sector, whose area (A) must be found by means of the following formula:

A = (α / 360°) · π · r²

Where:

If we know that r = 6 and α = 49°, then the area of the circular sector is:

A = (49° / 360°) · π · 6²

A = 49π / 10

The circular sector has an area of 49π / 10 square units.

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Answer:

To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:

r = (a/2) * cot(π/n)

where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.

In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:

6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)

36 = 50 - 50cos(x)

cos(x) = (50 - 36)/50

cos(x) = 0.28

x = cos^-1(0.28) ≈ 73.7°

Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:

(5/2)^2 + h^2 = 5^2

25/4 + h^2 = 25

h^2 = 75/4

h = sqrt(75)/2 = (5/2)sqrt(3)

Now we can find the radius of the inscribed circle using the formula:

r = (a/2) * cot(π/n)

where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:

r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm

Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.

The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At 2 hours before sunset, the temperature is 0°F.

And,  At 2 hours after sunset, the temperature is −4°F.

Now,

Let the temperature in degrees Fahrenheit = y

So, We can formulate;

⇒ y = - 4°x + 0°

Thus, The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

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1)

|-6-2|=|-8|=8

2)

G and I

3)

|-6+2|= |-4|=4

the point that is 4 units away from H and K is I

I=-2

Answer:

3 of the cities surveyed had only a professional sports​ team.

Step-by-step explanation:

We solve this question treating these as Venn sets.

I am going to say that:

Set A: professional sports team.

Set B: Symphony.

Set C: Children's museum.

We start building from the intersection of these three.

6 had all three activities.

This means that \(A \cap B \cap C = 6\)

10 had a symphony and a​ children's museum,

This means that:

\((B \cap C) + (A \cap B \cap C) = 10\)

\((B \cap C) + 6 = 10\)

\((B \cap C) = 4\)

That is, 4 have only the symphony and children's museum, while 6 have all three.

10 had a professional sports team and a​ children's museum

\((A \cap C) + (A \cap B \cap C) = 10\)

\((A \cap C) + 6 = 10\)

\((A \cap C) = 4\)

14 had a professional sports team and a​ symphony

\((A \cap B) + (A \cap B \cap C) = 14\)

\((A \cap B) + 6 = 14\)

\((A \cap B) = 8\)

21 had a professional sports team

This means that:

\((A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21\)

In which (A - B - C) represents the cities which had only a sports team. So

\((A - B - C) + 8 + 4 + 6 = 21\)

\((A - B - C) = 3\)

3 of the cities surveyed had only a professional sports​ team.

Step-by-step explanation:

√3cscx + 2 = 0

cscx = -2/√3

sinx = 1/cscx = -√3/2

We have the basic angle x = 60°.

(Because sin60° = √3/2)

Since sinx is negative, it must fall in Quadrants III or IV.

=> x = 180° + 60° or x = 360° - 60°

=> x = 240° or x = 300°.

Answer:

False (no solution)

Step-by-step explanation:

What is the solution to the equation 3 − 5 + 10 = 36?

3 − 5 + 10 = 36

8 = 36

it's false

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer: the value of  – 15 – 9 + (– 7) is -31

Step-by-step explanation:

-15-9=-24

-24+(-7)=-31

Answer: I

believe it is -31

Step-by-step explanation:

calculator

Answer:

Choice B is the closest

Step-by-step explanation:

A-lateral = 2πrh

r = D/2 = 16.5/2 = 8.25

h = 14

A = 2π(8.25)(14) = 725.7 in²

Answer: look it up how to pronounce the word

Step-by-step explanation: go to goggle translate or an app.

As according to given conditions let us draw these 4 points on the graph:

So the center is (0,0)

So the equation is:

Step-by-step explanation: