simplify√50-3√2(2√2-5) -5√32​

Answers

Answer 1

Answer:

-12

Step-by-step explanation:

√50-3√2(2√2-5) -5√32​

= 5√2 -12+15√2-5(4)√2

= 5√2 -12+15√2-20√2

= -12


Related Questions

#21-24 need help with

Answers

Answer:

117

Step-by-step explanation:

1×2^6 + 1×2^5 + 1×2^4 + 0×2^3 + 1×2^2 + 0×2^1 + 1×2^0

1×64+1×32+1×16+0×8+1×4+0×2+1×1

=64+32+16+0+4+0+1

=117

Complete factorization of x^3+4x^2-20x-48

Answers

Answer:

 (x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x3) +  22x2) -  20x) -  48

STEP

2

:

Checking for a perfect cube

2.1    x3+4x2-20x-48  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+4x2-20x-48  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3-48  

Group 2:  4x2-20x  

Pull out from each group separately :

Group 1:   (x3-48) • (1)

Group 2:   (x-5) • (4x)

whats the answer to this please help!

Answers

Answer:

GH = a unit

Step-by-step explanation:

From the diagram shown, we are told that line AB is parallel to CD. This shows that the distances of the lines perpendicular to these lines are also equal in length. Hence;

EF = GH

Since EF = a unit, then, GH = a unit

find the missing length indicated​

Answers

9514 1404 393

Answer:

  x = 1500

Step-by-step explanation:

The right triangles are all similar, so the ratio of hypotenuse to short leg is the same for all.

  x/900 = (1600+900)/x

  x^2 = 900(2500) . . . . . . cross multiply

  x = 30(50) . . . . . . . . . . . take the square root

  x = 1500

Three complex numbers are given as (1 + 21), (3 - 3i), and (4 + 6i). Find
their sum.

Answers

Answer:

8 + 11i

Step-by-step explanation:

hope it is well understood

what is 14.5% of 153

Answers

Q) 14.5% of 153 = ?

→ 14.5% of 153

→ 14.5/100 × 153

→ 22.185

So, 22.185 is answer.

Answer: 22.185

153 • 0.145

Identify two linear correlations and two curvilinear correlations not mentioned in either the text or the lecture. What is the relationship between the variables

Answers

Answer and explanation:

Linear correlation is relationship between two variables, negative or positive. When there is a negative linear correlation between two variables, one variable increases steadily while the other decreases in same proportion. In positive linear correlation, two variables increase or decrease in steadily on same proportion.

Curvilinear correlation is relationship between variables that occurs when two variables increase steadily at same rate but at some point one begins to decrease while the other increases.

Two examples of linear correlation are : increase in work hours and increase in pay cheque

increase in expenses and decrease in cash

Two examples of curvilinear correlation are:

increase in staff cheerfulness and customer satisfaction but to certain extent

increase in achievements and increase in anxiety but to certain point when achievements begin to decrease.

Which formula can be used to describe the sequence?
Of(x) = 1.2(2.5) - 1
Of(x) = 2.5(1.2) - 1
O f(x) = 1.2(2.5)*
Of(x) = 2.5(1.2)*

Answers

Answer:

C could be used to show the formula

Sequence of numbers is collection of ordered numbers. The given sequence is described by formula:

What is  a geometric sequence and how to find its nth terms?

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is     and the term by which we multiply the previous term to get the next term is  

Then the sequence would look like

(till the terms to which it is defined)

Thus, the nth term of such sequence would be

Tn = ad^n-2

For the given sequence, it can be seen that each term is  divided by 3 to get the next term. We can take it as we're doing multiplication by 1/3

Thus, the given sequence is geometric sequence and its characteristics are:

Thus, ith term is given as:

Ti = 27/3^i-2

We write sequence as:  {an}b_c

where n starts with value b and runs integer values and end up on n = c

For this case, we've n = 1 to 5, thus,

The given sequence is written as:

{27/3^n-1 }5_1

Thus,

The given sequence is described by formula: {27/3^n-1 }5_1

Learn more about geometric sequence here:

brainly.com/question/2735005

#SPJ7

complete question:

Which formula can be used to describe the sequence below?

27,9,3,1,1/3

Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?

Answers

Answer:

12.5 mph and 7.5 mph

Step-by-step explanation:

Tom's speed = xCarl's speed = y

We have:

x = y + 5(x + y)*10 = 200

Substitute x and solve for y:

(y + y + 5)*10 = 2002y + 5 = 202y = 15y = 7.5

Find x:

x = 7.5 + 5 = 12.5

Tom's speed is 12.5 mph

Carl's speed is 7.5 mph

Toms speed be a and Carl's speed be b

Now

a=b+510(a+b)=200

From eq(2)

a+b=20

From eq(1)

a-b=5

Adding these recent two

2a=25a=12.5mph

Putting in eq(1)

b=a-5b=12.5-5b=7.5mph

the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation

Answers

Answer:

No

Explanation:

A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.

I need help please I don’t understand

Answers

Answer:

Step-by-step explanation:

180 = ∠BAC + 52 +62

66 = ∠BAC

Can someone help me

Answers

Answer: Around 38.2°

Step-by-step explanation:

Set ∠A = x & a = 15Set ∠B = 27° & b = 11

Substitute them into the formula for the law of sines:

[tex]\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\[/tex]

Cross-multiply:

[tex]11sinx=15sin27[/tex]

Solve for x:

[tex]sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488[/tex]


Consider the recursive function.
f(1) = 2
f(n) = 5. (n 1), for n > 2

Which statement is true?
A. The value of f(6) is 1/125 times the value of f(3)
B. The value of f(6) is 2 times the value of f(3)
C. The value of f(6) is 125 times the value of f(3)
D. The value of f(6) is 15 times the value of f(3)

Answers

9514 1404 393

Answer:

  C.  125 times

Step-by-step explanation:

Using the recursion relation, we have ...

  f(4) = 5·f(3)

  f(5) = 5·f(4) = 5·(5·f(3)) = 25·f(3)

  f(6) = 5·f(5) = 5·(25·f(3)) = 125·f(3) . . . . matches choice C

The average cost for a product is C (x )equals 2 x plus 54 plus 98 over x, where C is measured in dollars and x is the number of units. How many units must be produced in order to minimize average cost

Answers

Answer:

7 units

Step-by-step explanation:

Given

[tex]C(x) = 2x + 54 + \frac{98}{x}[/tex]

Required

The units that minimize the average cost

[tex]C(x) = 2x + 54 + \frac{98}{x}[/tex]

Differentiate

[tex]C' = 2 + 0 - 98x^{-2}[/tex]

[tex]C' = 2 - 98x^{-2}[/tex]

Equate to 0 to solve for x

[tex]0 = 2 - 98x^{-2}[/tex]

Collect like terms

[tex]98x^{-2} = 2[/tex]

Divide by 98

[tex]x^{-2} = \frac{1}{49}[/tex]

Rewrite as:

[tex]\frac{1}{x^2} = \frac{1}{49}[/tex]

Take square roots of both sides

[tex]\frac{1}{x} = \±\frac{1}{7}[/tex]

Take multiplicative inverse of both sides

[tex]x = \±7[/tex]

Only positive value will produce critical value. Hence, 7 units will produce the minimum average cost

I have trouble with these two questions, even i did my equation but i don’t get the answers

Answers

Answer:

$318.17, out of state college is $161.12 cheaper per month

Step-by-step explanation:

72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17

8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66

8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56

1616.67 - 1455.56= $161.11 (use $161.12)

Express 0.6(27..).)))) as a fraction

Answers

I assume you mean the number x = 0.6272727….

You have

10x = 6.272727…

1000x = 627.272727…

==>   1000x - 10x = 990x = 621

==>   x = 621/990 = 69/110

Help please, don’t understand this

Answers

Answer:

b = -13/3

Step-by-step explanation:

Plug in the 13/3 into the t and then try to solve it. Like this:

(13/3 - 8/3)(13/3 + b) = 0 ---->  5/3(13/3+b) = 0 ----> from here you have to distribute  ---->  65/9 + b = 0 (here you have to subtract from both sides)

b = -65/9 (you could simplified) ---> b = -13/3

Write the equation of the line for the graph shown below, please

Answers

Answer:

Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian planes are obligated:

Slopes = rise/run

X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.

Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.

Y- intercept: (4,0)

Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.

*I hope this helps.

For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4

The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

Answers

Answer:

How should we proceed with this question


Which of the following describes the diagonals of a square?
Select the best answer from the choices provided.

A. They are not congruent.
B. They are not perpendicular to each other.
C. They bisect the opposite angles.
D.
All of the answers are correct.

Answers

Answer:

ALL OF THE ANSWERS ARE CORRECT .

HOPE IT HELP YOU.

Consider a political discussion group consisting of 4 Democrats, 9 republicans, and 4 independents. Suppose that two group members are randomly selected in succession to attend a political convention. Find the probability of selecting two Democrats.

Answers

All in all, we are selecting from a pool of 17 members (4+9+4 = 17). So seeing we have 4 democrats, the probability would be 4/17.

Normally we would simplify the fraction from there but 4/17 is already the simplified form. Therefore that is already the answer.

h(1)=9
h(n)=h(n-1)·1/9
h(3)=?

Answers

Answer:

1/9

Step-by-step explanation:

h1 = 9

h2 = h1 × 1/9 = 9 × 1/9 = 1

h3 = h2 × 1/9 = 1 × 1/9 = 1/9

Answer:

1/9

Step-by-step explanation:

Khan academy


In triangleABC, AC = 15 centimeters, m

Answers

Answer:

16.17 cm

Step-by-step explanation:

The solution triangle attached below :

To obtain BC ; we use the sine rule ;

a/ sin A = b / sin B

A = (180 - (68 + 24))

A = 180 - 92

A = 88°

a / Sin 88 = 15 / sin 68

Cross multiply :

(a * sin 68) = (15 * sin 88)

a = 14.990862 / sin 68

a = 16.168165

a = 16.168 cm

Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?​

Answers

Answer:      The slope of p is 1/3

Step-by-step explanation:    

If the lines are perpendicular, this means they are opposite.

Thus, O is opposite P and since O = -3, P = 1/3

ILL MARK BRAINILEST IF YOU ANSWER!!!

Jerry decides to participate in the horseshoe
tournament at the Wellesley Apple Butter and Cheese
festival. The toss of the shoes can be modelled using
the equation, h = -0.1(d + 1)(d - 12), where h represents
height in metres and d represents distance in metres.

a) Sketch the graphical model.
b) What is the maximum height of a horseshoe?

Answers

Answer:

[tex]h_{max}=5.5[/tex]

Step-by-step explanation:

Given

[tex]h = -0.1(d + 1)(d - 12)[/tex]

Solving (a): The graph

To do this, we plot h on the vertical axis and d on the horizontal

See attachment for graph

Solving (b): The maximum of h

From the attached graph, h has the maximum value when:

[tex]d = 4.225[/tex]

So, the maximum of h is:

[tex]h_{max}=5.5[/tex]

Find the Distance in Coordinate Plane (23-24)
Find the distance AB Show Work.

Answers

Answer:

i am not sure but i think its 1.16

Step-by-step explanation:

I will give brainliest

Answers

Answer:

uncertain for the first image and words to choose for the second image

Step-by-step explanation:

The text implies that she does not know and that there are many words to choose.

A coach surveyed a random sample of 200 college athletes about their height.

A 2-column table with 4 rows. Column 1 is labeled Height (inches) with entries 60 to 64, 65 to 69, 70 to 74, 74 to 76. Column 2 is labeled Frequency with entries 14, 28, 53, 67.
Which statements are correct about the data in the table? Check all that apply.

A bar graph is an appropriate display.
A pie chart is an appropriate display.
A bar graph is not appropriate because the heights of the bars would be too different.
A pie chart is not appropriate because the categories do not add to 100%.
A bar graph is appropriate because the frequencies are given.

Answer:

A bar graph is an appropriate display.

A pie chart is not appropriate because the categories do not add to 100%.

A bar graph is appropriate because the frequencies are given.

Answers

Answer:

i. A bar graph is an appropriate display.

ii. A bar graph is appropriate because the frequencies are given.

Step-by-step explanation:

A bar graph is a graphical method that can be used to present an information from a sample of data. It requires drawing of bars of equal width and distance with respect to the information given.

While a pie chart is a method that requires presenting information in a circular chart with respect to each data in sectors of different central angles.

For the given question, the most appropriate method to use is the bar graph with respect to the given information. Thus, the statements that are correct about the data in the table are:

i. A bar graph is an appropriate display.

ii. A bar graph is appropriate because the frequencies are given.

Answer:

The answers are:

A.)A bar graph is an appropriate display.

D.)A pie chart is not appropriate because the categories do not add to 100%.

E.)A bar graph is appropriate because the frequencies are given.

Step-by-step explanation:

Got it right on edge2021, hope this helps you out

What is considered the most famous impossible problem from Greek
antiquity?
A. Riemann's negation
B. Doubling the cube
C. Playfair's axiom
D. Bisecting any angle

Answers

Answer:

B. Doubling the cube.

Step-by-step explanation:

Riemann's negation was formulated by German mathematician Hermann Riemann in the 19th Century.

Playfair's axiom was an axiom alternative to the Euclid' fifth postulate, which was formulated in the 19th Century.

The method of bisecting any angle was proposed in late Antiquity thanks to the development of Euclidean Geometry.

The question of double the cube was investigated by Egyptians, Indians and Greeks in antiquity without any success. This question cannot be solved by compass and straightedge according to conclusions of French mathematician Pierre Wantzel in 1.837.

Hence, doubling the cube was the most famous impossible problem from Greek antiquity. (Answer: B)

Math property
-75+(23+75)=(75+75)-23=0-23=-23

Answers

Given:

Consider the expression is:

[tex]-75+23+75[/tex]

To find:

The value of the given expression by using the math properties.

Solution:

We have,

[tex]-75+23+75[/tex]

It can be written as:

[tex]=-75+(23+75)[/tex]

[tex]=-75+(75+23)[/tex]                   [Commutative property of addition]  

[tex]=(-75+75)+23[/tex]                   [Associative property of addition]

[tex]=0+23[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

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