Find the area of the shaded region​

Answer:

x=3

Step-by-step explanation:

2x/3−x/10=17/10

Multiply each side by 30 to get rid of the fractions

30( 2x/3−x/10)=(17/10)*30

Distribute

20x -3x = 51

Combine like terms

17x = 51

Divide by 17

17x/17 = 51/17

x=3

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

Hey, it's really very easy to simplify .

I will write step by step.

= -3 (-4y + 3) +7y

= (-3) (-4y) + (-3) (3) + 7y

= 12y + -9 + 7y

= 12y + -9 + 7y

= (12y + 7y) + (-9)

Therefore, 19y + -9 is the answer.

Answer:

see below

Step-by-step explanation:

What is the product of complex conjugates?

( a+bi) (a-bi)

FOIL

a^2 -abi+abi -b^2i^2

a^2 + b^2

C. The product of complex conjugates is a sum of two squares and is always a real number.

What are the factors (5+i) and (5−i) called?

These are called complex conjugates because the imaginary parts are opposites

C. complex conjugates

What is the sum of the complex numbers −9−i and −5−i?

-9-i+-5-i

Add the real parts

-9-5 = -14

Add the imaginary parts

-i-i = -2i

-14-2i

B. −14−2i

What is the product of the complex numbers 8i and 5i?

8i*5i = 40 i^2

We know that i^2 = -1

40*-1 = -40

B. −40

Answer:

Option (B)

Step-by-step explanation:

1). Given function is,

  [tex]f(x)=\frac{1}{x-1}+3[/tex]

  It the given function 'f' is transformed by a translation of 2 units to the right, the new function will be,

h(x) = f(x - 2)

h(x) = [tex]\frac{1}{(x-2)-1}+3[/tex]

      = [tex]\frac{1}{x-3}+3[/tex]

Further the new function is translated by 6 units down,

g(x) = h(x) - 6

g(x) = [tex]\frac{1}{x-3}+3-6[/tex]

      = [tex]\frac{1}{x-3}-3[/tex]

Since, transformed function 'g' passes through a point (x, -2),

g(x) = [tex]\frac{1}{x-3}-3[/tex]

-2 = [tex]\frac{1}{x-3}-3[/tex]  

3 - 2 = [tex]\frac{1}{x-3}[/tex]

x - 3 = 1

x = 4

Therefore, Option (B) will be the answer.

Answer:

[tex]10 {x}^{2} + ( - 18)[/tex]

Step-by-step explanation:

Inserting fx into gx we get

[tex]5(2 {x}^{2} - 5) + 7[/tex]

Which then becomes

[tex]10 {x}^{2} - 25 + 7[/tex]

And finally the answer is

[tex]10 {x}^{2} - 18[/tex]

Answer:

Hey There!! The Correct answer is: The equation is w = 241(1.06)t

And here variable t represents the number of years since 2000.

In 2001 means t=2001 -2000 = 1

So we plug 1 for t in the given expression , that is w = 241(1.06)1 = 241 * 1.06 = 255.46

Therefore in 2001, it should be worth to 255.46.

And in the given expression 1.06=1 +0.06, where 0.06 is the annual percent of growth that is 6 % .

Hope It Helped!~ ♡

ItsNobody~ ☆

The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions. Then the correct option is C.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The projected worth (in millions of dollars) of a large company is modeled by the equation is given as,

[tex]\rm w = 206\times (1.10)^t\\\\w = 206\times (1+0.10)^t[/tex]

Then the projected annual percent of growth is 10%.

The variable t represents the number of years since 2000.

Then the company worth in 2011 will be

w = 206 × 1.1¹¹

w = $587.74 millions

The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions.

Then the correct option is C.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Answer:

x = 7

Step-by-step explanation:

2x + 1 = -3x + 36

2x + 3x + 1 = -3x + 3x +36

5x + 1 = 36

5x + 1 - 1 = 36 - 1

5x = 35

5x/5 = 35/5

x = 7

Answer:

first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7

Step-by-step explanation:

hope this helps

Answer:

  9 square units

Step-by-step explanation:

The function f(x) describes a parabola opening downward, with a vertex at (3, 9). The maximum value of f(x) is found at the vertex, where it is f(3) = 9.

The maximum area is 9 square units.

Answer:

9 c

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Given : A, B, c are three points.

We know that a plane exist that pass through three points.

So 1 plane exist that pass through points A, B,  and C.

A point (gives location) , a line(gives length) and a plane(2 dimensional flat surface) are 3 undefined terms.

We need two points two make a line and three points to make a plane.

Answer:

Step-by-step explanation:

The answer is 1

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

Answer:

she can buy 13.333 repeating ounces (13 as a full number) of chocolate drops or 20 ounces of gummy bears.

Step-by-step explanation:

take the amount of money you have, $10 and divide that by the price per ounce $10÷.5=20

Answer:

8 ounces

Step-by-step explanation:

Imagine X is the number of ounces she can buy for each type

.5 (x) the gummy and  .75 (x) the chocolage = 10

combine like terms.

1.25 (X) = 10

X = 8

.5 (8) + .75(8) = 10

4+ 6 = 10

Answer:18.87

Step-by-step explanation:

to find the hypotenuse of a triangle, A^2 + B^2 = C^2 if A and B are sides and C is the Hypotenuse. 100 + 256 is 356, so C^2 is 356. to find C, we square root both sides. thus C^2 becomes C, and 356 becomes the square root of 356, which is 18.8679623... and rounded to the nearest 10th of a centimeter that's 18.87

Hope this helps!

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

Answer:

[tex]\huge\boxed{d = 4 }[/tex]

Step-by-step explanation:

41 = 12d - 7

Adding 7 to both sides

41+7 = 12d

48 = 12 d

Dividing both sides by 12

4 = d

OR

d = 4

Answer:

[tex]\large \boxed{{d=4}}[/tex]

Step-by-step explanation:

[tex]41 =12d-7[/tex]

Add 7 on both sides.

[tex]41 +7=12d-7+7[/tex]

[tex]48=12d[/tex]

Divide both sides by 12.

[tex]\displaystyle \frac{48}{12} =\frac{12d}{12}[/tex]

[tex]4=d[/tex]

Answer:

[tex]\boxed{3^3 * 2 * 5}[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

16 factors of 270

Step-by-step explanation:

1*270

2*135

3*90

5*54

6*45

9*30

10*27

15*18

Answer:

20 will fly in the missing side.

Step-by-step explanation:

This is a 90^o angle.

heres the formula for side c:

a^2 + b^2 = c^2

So,

12^2 + 16^2 = c^2

144 + 256 = c^2

square root of 400 = c

c = 20

So, 20 will fly in the missing gap of the V formation.

image is calculator.

Answer:

The expression (-root3·a - a)², can be simplified into the form a² × (4 + 2·√3)

Step-by-step explanation:

The given expression can be written as follows;

(-root3·a - a)² = (-√3·a - a)²

Which can be expanded to give;

(-√3·a - a) × (-√3·a - a) = 3·a² + 2·√3·a² +a²

We collect like terms to get;

3·a² + 2·√3·a² +a² =  3·a² +a²+ 2·√3·a² = 4·a² + 2·√3·a²

We factorize out the common coefficients of the terms  to have;

4·a² + 2·√3·a² = a² × (4 + 2·√3)

Which gives the initial expression (-root3·a - a)², to presented in the form a² × (4 + 2·√3).

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

Answer:

1 - No solution

2 - Infinitely many solutions

3 - One solution

Step-by-step explanation:

Hey there!

Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.

1) - No solution

This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.

2) - Infinitely many solutions

We need to convert into slope-intercept.

y = -x + 4

y = -x + 4

Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.

3) - One solution

Slope-intercept,

y = -3x + 11

y = -1/3x + 1/3

Because both slopes are y-intercepts are different they have only one solution.

Hope this helps :)

Answer:

One

Step-by-step explanation:

Only one plane containing line ℓ can be drawn parallel to plane P

Answer:

3

Step-by-step explanation:

Here, by reading the histogram, we will provide answer for the question asked.

We want to know how many more festivals had 18 to 23 countries represented than 0 to 5 countries.

Checking the histogram, we can see the 0-5 countries having a value of 1, while the 18-23 has a value of 4.

So, the number of more countries will be simply 4-1 = 3

Answer:

3

Step-by-step explanation:

Answer:

C; B

Step-by-step explanation:

The direct/explicit formula for a geometric sequence is the following:

[tex]a_n=a(r)^{n-1}[/tex]

Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.

Therefore, to find the nth term, we just need to find the initial value and the common ratio.

1)

-8, 24, -72, 216...

The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:

[tex]r=24/-8=-3\\r=-72/24\stackrel{\checkmark}{=}-3[/tex]

So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:

[tex]a_n=-8(-3)^{n-1}[/tex]

Thus, the eighth term will be:

[tex]a_8=-8(-3)^{8-1}\\a_8=-8(-3)^7\\a_8=17496[/tex]

C

2)

Again, find the common ratio.

2, -14, 98, -686...

[tex]-14/2=-7\\98/-14\stackrel{\checkmark}{=}-7[/tex]

The common ratio is -7. The initial value is 2. Thus:

[tex]a_n=2(-7)^{n-1}[/tex]

And the sixth term will be:

[tex]a_6=2(-7)^{6-1}\\a_6=2(-7)^5\\a_6=-33614[/tex]

B

Answer:

E) 15pi/2

Step-by-step explanation:

The total circle area is pi*r^2. r = 6. so the total area is 6^2pi, or 36pi.

However, we are dealing with 75/360 of a circle, or 5/24 of a circle. 5/24 * 36pi = 15pi/2.

Answer:

X>4

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

x² = x

x² / x = 1

x = 1

Check:

1² = 1

Answer:

[tex]\large \boxed{\sf \bf \ \ y=3x^2-6x-1 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

We can read from the graph that the vertex is (1,-4) , it means that the equation is, a being a real number.

[tex]y=a(x-1)^2-4[/tex]

And the point (0,-1) is on the graph so we can write.

[tex]a\cdot 1^2-4=-1 \\\\a-4+4=-1+4\\\\a = 3[/tex]

So the equation is.

[tex]y=3(x-1)^2-4\\\\=3(x^2-2x+1)-4\\\\=3x^2-6x+3-4\\\\=3x^2-6x-1\\\\=\boxed{3}x^2\boxed{-6}x\boxed{-1}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex]y=3x^{2} -6x-1[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, please consider the following.

Option A. First week we got $200.

Week 2, we got $200+$50=$250

Week 3, we got $250+$50=$300

Week 4, we got $300+$50=$350

Week 5, we got $350+$50=$400

Week 6, we got $400+$50=$450

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &250 &300 &350 & 400 &450\end{array}[/tex]

Option B. First week we got $200.

Week 2, we got $200+$200*10%=$200+$20=$220

Week 3, we got $220(1+10%)=$220(1.10)=$242

Week 4, we got $242(1.10)=$266.2

Week 5, we got $266.2(1.10)=$292.82

Week 6, we got $292.82(1.10)=$322.102

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &220 &242 &266.2 & 292.82 &322.102\end{array}[/tex]

Thank you.

Answer:

414.48 cm²

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Slant height (l) = 16 cm

Diameter (d) = 12 cm

Surface Area (SA) =....?

Next, we shall determine the radius.

This can be obtained as follow:

Diameter (d) = 12 cm

Radius (r) =..?

Radius (r) = diameter (d) /2

r = d/2

r = 12/2

r = 6 cm

Finally, we shall determine the surface area of the cone as follow:

Pi (π) = 3.14

Slant height (l) = 16 cm

Radius (r) = 6 cm

Surface Area (SA) =....?

SA = πr² + πrl

SA = (3.14 × 6²) + (3.14 × 6 × 16)

SA = (3.14 × 36) + 301.44

SA = 113.04 + 301.44

SA = 414.48 cm²

Therefore, the surface area of the cone is 414.48 cm²

Answer:

4

Step-by-step explanation:

The answer is 4

Answer:

4

Step-by-step explanation:

4

Answer:

=√100

= 10

=√49

= 7

=√144

= 12

=√9

=3