Solve following equation: [tex]y-4(2y-5)=-4[/tex]

The given expression gives the complex number:

N = 1 + 0i

Here we want to simplify the expression:

N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i

Where i is the complex number, now we can just separate the terms with i and the terms without i.

N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i

= (1/4 + 3/4) + (-4i - 5i - 8i + 17i)

= ( 1) + (-4 - 5 - 8 + 17)i

=  1  + 0i

That is the complex number that comes out of the given expression.

If you want to learn more about complex numbers:

https://brainly.com/question/10662770

#SPJ1

Answer:

huh

Step-by-step explanation:

The number of days christen’s book is overdue is 22.

The number of days christen’s book is overdue:

According to the graph, the fine levied stops rising after 20 overdue days and then stays at 10 for the remaining days.

Additionally, if Christen's fine was the same as yesterday, her late dates must be longer than 21 days (because the fine on day 20 will be the same).

22 might therefore be the number of days past due based on the options provided.

The number of days christen’s book is overdue is 22.

To learn more about overdue, refer to:

https://brainly.com/question/23785152

#SPJ4

The missing dimension in the figure given in the question is 9 ft

Diameter of small circle / Diameter of big circle = Height of small / Height of Big

24 / d = 8 / 36

Cross multiply

d × 8 = 24 × 36

d × 8 = 864

Divide both sides by 8

d = 864 / 8

d = 108 in

Divide by 12 to express in feet

d = 108 / 12

d = 9 ft

Thus, the missing dimension is 9 ft

Learn more about similar figures:

https://brainly.com/question/11790189

#SPJ1

If the solids are similar, then their lengths/dimensions are proportional.

24 inches / 8 inches = d / 3 feet

---Cross Multiply

8d = 72

d = 9 feet

Hope this helps!

Answer:22

Step-by-step explanation:

10x2+1x2=

20+2

=22

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\text{10(2) + 1(2)}[/tex]

[tex]\huge\text{= 10 + 10 + 1 + 1}[/tex]

[tex]\huge\text{= 20 + 1 + 1}[/tex]

[tex]\huge\text{= 21 + 1}[/tex]

[tex]\huge\text{= 22}[/tex]

[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{22}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C 20

Step-by-step explanation:

we need the distance between both points, then, as this is the side of a square, we square it and get the area of the square.

the distance we get via Pythagoras (the distance is the Hypotenuse of a right-angled triangle with the coordinate differences in x and y being the legs) :

distance² = (-1 -3)² + (1 - -1)² = (-4)² + 2² = 16+4 = 20

distance = sqrt(20)

the area of the square is the side², so again distance², and therefore the area is 20.

The solutions of the given equation is x = -8 + 5√2 and  x = -8 - 5√2.

The quadratic formula is used to find the roots of a quadratic equation. This formula helps to evaluate the solution of quadratic equations replacing the factorization method. If a quadratic equation does not contain real roots, then the quadratic formula helps to find the imaginary roots of that equation. The quadratic formula is also known as Shreedhara Acharya’s formula

(x + 2)² + 12(x + 2) – 14 = 0

Replacing x + 2 with u we get,

u² + 12u - 14

using quadratic formula we get

u = (-12 ±√(12² - 4x1 x-14))/2

u =(-12 ±√200)/2

u = -6 ± 5√2

x +2 = u = -6 ± 5√2

x = u = -8 ± 5√2.

Learn more about  quadratic formula here :

https://brainly.com/question/1353611

#SPJ1

the ratio of the area of square KLMN to the area of LOK is 2a^2/b h

From the image given, we can deduce the following;

The formula for area of a square is

Area = a^2

Where, 'a' is the side

The formula for area of a triangle

Area = 1/ 2 base × height

Now, let's find the ratio

Ratio = area of KLMN/ area of LOK

Ratio = [tex]\frac{a^2}{\frac{1}{2} bh}[/tex]

Ratio = [tex]\frac{a^2}{\frac{bh}{2} }[/tex]

make the expression linear

Ratio = 2a^2/bh

The ratio of  the area of square KLMN to the area of LOK is 2a^2/bh

Thus, the ratio of the area of square KLMN to the area of LOK is 2a^2/b h

Learn more about area here:

https://brainly.com/question/25260313

#SPJ1

The congruence postulate or theorem that is stated is the: C. AAS congruence theorem.

Triangles that are referred to as congruent triangles are triangles that have corresponding congruent sides and corresponding congruent angles.

According to the angle-angle-side congruence theorem (AAS) two triangles are congruent if two angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of the other are congruent to each other.

For example, in triangles GUM and RED given in the image attached below, we have the following:

∠G ≅ ∠R [a pair of congruent angles]

∠M ≅ ∠D [a pair of congruent angles]

GU ≅ RD [a pair of non-included congruent side]

Thus, both triangles are congruent by the AAS, which is the congruence theorem that is stated above.

The answer is: C. AAS.

Learn more about the AAS congruence theorem on:

https://brainly.com/question/3168048

#SPJ1

Answer:

aas

Step-by-step explanation:

[tex]\Large\texttt{Answer}[/tex]

[tex]\bold{n-13}[/tex]

[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]

[tex]\Large\texttt{Process}[/tex]

⇨ Again letting n be the number

[tex]\bold{n}[/tex]

⇨ Subtract 13 from n

[tex]\bold{n-13}[/tex]

*unlike addition, the order DOES matter, because

[tex]\bold{n-13\ne 13-n}[/tex]

Hope that helped

The groups which would be most representative of the opinions of all employees in the company are: A sample of 5% of randomly selected employees from each office location, Employees who are randomly selected by a computer from a list of all company employees and Employees who have worked for the company for more than 10 years.

Options (A),(C) and (D) are correct.

A sizable business has locations around the nation. The company's facilities director was tasked with asking employees about their office furnishings. Instead of polling every worker at the company, the director chose to select a sample. We are supposed to find the groups which would be most representative of the opinions of all employees in the company.

Learn more about samples here:

https://brainly.com/question/17831271

#SPJ1

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

h = 4sin30

h = 4(1/2)

h = 2 miles

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ4

I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

Answer:

Jeffrey has 225 % chance to go to Cafe Shirley.

Step-by-step explanation:

given,

chance of going to Cafe

Chris = 3/4

Nina =3/4

iana = 3/4

To find the total probability you should add all of them:

Total probability= 3/4 + 3/4 + 3/4

= 9/4 = 2.25

to convert to percent you should times 100

2.25 x 100 = 225%//

The area is 97.211 sq units.

This part of the plane is a triangle. We can Call it δ. We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that y=z=0 means 3x=15 i.e., x=3 , so that (3, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 15) are the other two vertices.

Next, we can parameterize the surface by

s(u,v)=[tex]\int\limits^a_b {3(1-u)(1-v),5u(1-v),15v} \, dx[/tex]

so surface element is

dS= IIsu*svII =15[tex]\sqrt{42}[/tex](1-v)dudv

Then the area of  is given by the surface integral

[tex]\int\limits^a_b {} \, \int\limits^a_b {dS} \, dx = 15\sqrt[n]{42} \int\limits^a_b {x} \, dx \int\limits^a_b {1-v} \, dudv[/tex]=97.211

For more information about integrals, visit

https://brainly.com/question/22008756

By using subtraction of yellow areas from the entire squares, the areas of the inscribed shapes are listed below:

The areas of the inscribed shapes can be easily found by subtracting the yellow areas from the square, in order to find the value of green areas. Now we proceed to find the result for each case by using area formulae for triangles:

Case A

A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)

A = 36 - 18

A = 18 units

Case B

A = 6² - 4 · 0.5 · (2) · (4)

A = 36 - 16

A = 20 units

Case C

A = 6² - 0.5 · 6² - 0.5 · 6 · 2

A = 36 - 18 - 6

A = 12 units

Case D

A = 6² - 2 · 0.5 · 6 · 4

A = 36 - 24

A = 12 units

To learn more on inscribed areas: https://brainly.com/question/22964077

#SPJ1

Answer:

5/6

Step-by-step explanation:

slope = 4-(-1)/8-2 = 5/6

City B had the highest noon temperature, Interquartile Range, Larger Median temperature while City A had smaller range of temperature.

A box and whisker plot, also known as a box plot, shows a five-number summary of a set of data. The minimum, first quartile, median, third quartile, and maximum are the five-number summary. A box plot is created by drawing a box from the first to third quartiles. At the median, a vertical line runs through the box. The whiskers move from the lowest to the highest quartile.

From the figure:-

Learn more about Statistics here :

https://brainly.com/question/23091366

#SPJ1

Answer:

(a) B

(b) B

(c) B

(d) B

Step-by-step explanation:

The answer is 2c.

Applying the Law of Exponents,

Answer:

The airspeed is 201.17 mph and bearing is  and this can be determined by using the vector form of velocity

Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 ​mph

Answer: The answer is 87. when you look at the picture each number is one number apart from each other like look at

86, 87, 88, 89, 90, 91

85 + 1  = 86

86 + 1 = 87

87 + 1 = 88

89 + 1 = 90

90 + 1 = 91

Step-by-step explanation:

Option D is correct, the proportion for corresponding sides is 12/4 = 24/8.

According to the statement

we have given that the two rectangle which are similar to each other and we have to find the correct proportion for corresponding sides of rectangles.

So, we know that the

For the two rectangles to be similar, it means the ratio of their corresponding sides must be the same.

Looking at the two rectangles, the corresponding sides are pf the rectangles are:

4 m side corresponds to 8 m side in rectangle A

12m side corresponds to the 24 m side in rectangle B.

Then

The ratios of the both rectangles are:

In rectangle A is 8/4 = 2

In rectangle B is 24/12 = 2

From this it is clear that the ratios are equal.

Thus, the scale factor is 2

Since 8/4 = 24/12, we can rearrange to get;

12/4 = 24/8.

So, Option D is correct, the proportion for corresponding sides is 12/4 = 24/8.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The two rectangles are similar with sides 4 m side corresponds to 8 m side in rectangle A and 12m side corresponds to the 24 m side in rectangle B.which is the correct proportion for corresponding sides?

A. 12/3 = 24/12.

B. 12/2 = 27/8.

C. 11/4 = 23/8.

D. 12/4 = 24/8.

Learn more about Rectangles here

https://brainly.com/question/19819849

#SPJ1

The volume of the composite figure is 3532.5 cubic inches

From the given figure, we have the following dimensions:

The volume of a cylinder is

V = πr^2h

So, the volume of the composite figure is

V = πR^2h - πr^2h

Substitute the known values in the above equation

V = 3.14 * 10^2 * 15 - 3.14 * 5^2 * 15

Evaluate the product

V = 3532.5

Hence, the volume of the composite figure is 3532.5 cubic inches

Read more about volumes at:

https://brainly.com/question/1972490

#SPJ1

Answer:

Rs 1425

Step-by-step explanation:

=(30×40) + (15×15)

=1425

Answer:

First answer lol

Step-by-step explanation:

is the domain by any chance x ≥-2?

The front of the base is 1.25 ft and the total base is 14.05 ft.

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The sides CD and BD can be found using similar triangle principle.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, the following proportion can be established as follows;

[tex]\frac{BC}{AC}=\frac{AC}{CD}[/tex]

Hence,

[tex]\frac{12.8}{4}=\frac{4}{CD}[/tex]

cross multiply

4 × 4 = 12.8 CD

16 = 12.8CD

divide both sides by 12.8

CD = 16 / 12.8

CD = 1.25 ft

BD = 1.25 + 12.8 = 14.05 ft

Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.

learn more on right triangle here: brainly.com/question/14324872

#SPJ1

Answer:

129 1/3 is the answer

0.8926 percent of the time, the shipment will be rejected.

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A delivery of 50 cheap digital watches, 10 of which are flawed.

A digital watch's likelihood of malfunctioning

P = 10/50

= 0.2

Size of sample: n = 10

Additionally, if they find one or more samples to be defective, they reject the entire cargo.

Making use of the binomial probability formula:

[tex]P(x)={ }^{n} C_{x} p^{x}(1-p)^{n-x}[/tex]

The random variable x should stand in for the quantity of defective watches.

The chance that the delivery will be refused is:

[tex]P(x \geq 1)=1-P(0)[/tex]

= [tex]1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}[/tex]

= 1 - (0.8)[tex]^{10}[/tex]

= 0.8926

As a result, 0.8926 percent of the time, the shipment will be rejected.

To know more about binomial probability visit:

https://brainly.com/question/13072083

#SPJ4

I understand that the question you are looking for is:

A shipment of 50 inexpensive digital​ watches, including 10 that are​ defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be​ rejected

The angles exist in the exact place in both triangles. So we will obtain the decision that they exist different.

Therefore, the the measure of their angles exists different.

No, because the measure of their angles exists different. If the angle measurements existed the exact, they would have been equivalent.

You see in the smaller triangle, the given angle exists at 55 degrees while in the bigger triangle the given angle exists at 30 degrees.

The angles exist in the exact place in both triangles. So we will obtain the decision that they exist different.

To learn more about triangles refer to:

https://brainly.com/question/1058720

#SPJ9

The piecewise equation for the function shown in the diagram is [tex]f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.[/tex]

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

From the diagram using the point (-6, 0.5) and (-1, 5):

y - 0.5 = [(5 - 0.5)/(-1 - (-6))](x - (-6))

y = (9/10)x + 5.9

Also, using the point (2, 1) and (4, -4):

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

y = -(5/2)x + 6

The piecewise equation for the function shown in the diagram is [tex]f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.[/tex]

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

❄ Hi there,

let us combine the like terms and create an equivalent expression –

[tex]\large\begin{gathered} \sf{9+a-5b-2} \\\sf{9-2+a-5b}\\\sf{7+a-5b} \end{gathered}[/tex]

That's as far as we can go.

❄