Find the square root of 1764 by factorisation method

Answers

Answer 1

Answer:

42

Step-by-step explanation:

prime factorisation of 1764 = 2^2 × 3^2 × 7^2

hence,

√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42

Answer 2

Answer:

42

Step-by-step explanation:

1764 = 2 * 882

        = 2 * 2 * 441

        = 2 * 2 *  3 * 147

        = 2 * 2 * 3 * 3 * 49

        = 2 * 2 * 3 * 3 * 7 * 7

[tex]\sqrt{1764} = \sqrt{2*2*3*3*7*7} = 2*3*7 = 42[/tex]


Related Questions

What is the explicit formula for the geometric sequence with this recursive formula

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]

what is -10/19÷-5/7 but not converted into a decimal please!

Answers

Answer:

14/19

Step-by-step explanation:

Dividing fractions is the same as multiplying by the reciprocal:

-10/19 ÷ -5/7

-10/19 x -7/5

Multiply the numerators by each other, as well as the denominators:

70/95

Simplify by dividing both the numerator and denominator by 5:

= 14/19

So, the answer is 14/19

Rewrite the series as a sum (show all work)

Answers

Answer:

1144

Step-by-step explanation:

100 + 98 + 96 +.... + 78+76 =

(12-0)/2 (176)  

(6.5) (176) = 1144

The sum of the series will be 1068.

We have the following expression -

[tex]\sum_{i=0}^{12} 100 - 2i[/tex]

We have to rewrite the series as the sum.

What do you mean by Series ?

A series in mathematics is the sum of a list of numbers that are generated according to some pattern.

We have the following expression -

[tex]\sum_{i=0}^{12} 100 - 2i[/tex]

The terms of this series can be calculated by calculating the value of the function at different values of i.

The series is as follows -

100 + 98 + 96 +.... + 78+76

This is an arithmetic progression with a = 100 and d = - 2 and n = 12. The sum of this series is -

[tex]S = \frac{n}{2} \times {2a + (n-1)d}[/tex]

S = [tex]\frac{12}{2} [{2 \times 100 + (12 -1)(-2)] = 6[200+ 11 \times -2] = 6[200 -22][/tex]

S = 6 x 178 = 1068

The sum of the series will be 1068.

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A pitcher of juice holds 6 cups. How many 2/3 -cup servings of juice are in the pitcher?

serving-

please help ill give brainliest

Answers

Answer:

Step-by-step explanation:

6 ÷ (⅔) = 6 × (3/2) = 9

There are nine ⅔-cup servings per pitcher.

Which graph represents an odd function?
y
6
4
.
2
.
O
-6..
4
-2.
2.
.
B
х
لند
4
9
TV

Answers

Answer:

the odd graph represented is

y

6

4

1st graph represents the odd function because it  is symmetric about origin

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

For a function f to be odd, it should satisfy the following equation:

f(-x) = -f(x)

For a function f to be even

f(-x)=f(x)

The graph of an odd function will always be symmetric about the origin.

By observing the graphs we can say that:

1st graph is symmetric about origin and hence it is an odd function.

2nd graph is symmetric about y-axis.Hence it is not an odd function.

Hence, 1st graph represents the odd function because it  is symmetric about origin

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Write an equation for the line that passes through (-5, 4) and (-4, 2).

Answers

Answer:

y = - 2x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 4, 2)

m = [tex]\frac{2-4}{-4-(-5)}[/tex] = [tex]\frac{-2}{-4+5}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ) , then

2 = 8 + c ⇒ c = 2 - 8 = - 6

y = - 2x - 6 ← equation of line

Go Long Telephone Company charges a flat rate of $18.75 per month plus $0.18 per minute. To Call Telephone Company charges a flat rate of$12.51 per month plus $0.42 per minute. How many minutes would a customer need to use in order for the bill from Go Long and Via Call to be equal at the end of the month?

Answers

9514 1404 393

Answer:

  26 minutes

Step-by-step explanation:

Let x represent the number of minutes used. The charges will be equal when ...

  18.75 +0.18x = 12.51 +0.42x

  6.24 = 0.24x . . . . . . . . . . . . . . . subtract 0.18x+12.51

  26 = x . . . . . . . . . . . . . . . divide by 0.24

A customer using 26 minutes will receive the same bill from either company.

Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.

Answers

Answer:

Y =-10X +5

Step-by-step explanation:

x1 y1  x2 y2

1 -5  0 5

   

(Y2-Y1) (5)-(-5)=   10  ΔY 10

(X2-X1) (0)-(1)=    -1  ΔX -1

   

slope= -10          

B= 5          

   

Y =-10X +5    

Answer:

y = -2x2 + 8x + 5.

Step-by-step explanation:

Independent Practice

x
0
1
2
3
4
y
2
1.5
1
0.5
0


Which kind of function best models the data in the table? Write an equation to model the data.


A.
linear; y= 1 2 x+2


B.
quadratic; y=− x 2


C.
quadratic; y=− 1 2 x 2


D.
linear; y=− 1 2 x+2

Answers

Answer:

D. linear; y = - 1/2x + 2

Step-by-step explanation:

As the values of x increase by 1, the values of y decrease by 0.5. This means that we have a negative linear relationship of 1/2. In other words, the slope is -1/2. Our y-intercept is 2 since when x = 0, y = 2. So, D is the correct choice.

Triangle ABC is shown below with line DE passing through the center:

Triangle ABC is shown with line DE running horizontally through the center of the figure.

If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)


be parallel to the original line

shift three units to the right

be perpendicular to the original line

pass through points D and E

Answers

Answer:

D'E' be parallel to the original line

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

Line [tex]DE[/tex]

[tex]k = 3[/tex] -- scale factor

Required

The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]

When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].

Also:

Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]

Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]

A force of 9 lb is required to hold ​35lb crate on a hill. What angle does the hill make with the​ horizontal?

Answers

Answer: [tex]14.9^{\circ}[/tex]

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of [tex]\theta[/tex] with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

[tex]\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}[/tex]

Brown’s time for running a mile in gym class is 9.9 minutes, Ray’s time is 9.47 minutes and Malcolm’s time is 9.76 minutes. Who ran the mile in less time?

Answers

Given:

Brown’s time for running a mile in gym class = 9.9 minutes

Ray’s time for running a mile in gym class = 9.47 minutes

Malcolm’s time for running a mile in gym class = 9.76 minutes

To find:

Who ran the mile in less time?

Solution:

It is given that the time taken by Brown, Ray and Malcolm to cover a mile are 9.9 minutes, 9.47 minutes and 9.76 minutes respectively.

9.47 < 9.76 < 9.9

Since, 9.47 minutes is the lowest time, therefore Ray can run a mile in less time.

Match the number with its opposite -5.4

Answers

5.4 is the answer. The opposite of a negative is a positive and vice versa

A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.

Answers

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= [tex]P(6 \ males)+ P(7 \ males)[/tex]

= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]

= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]

= [tex]\frac{16870425}{30421755}[/tex]

= [tex]0.5545[/tex]

Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?

Answers

Answer:

Step-by-step explanation:

Victoria used : 170 g of butter for 250 g of flour.

So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.

Victoria's daughter used: 340 g butter for 400 g flour

So, 1 g of flour requires =  340/400 g of butter = 0.85 g of butter

Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.

Can someone help me out

Answers

Answer: [tex]V=3369.3ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (9.3)^3\\V=3369.3ft^3[/tex]

The equation for volume of a sphere is....

4/3(pi)(r^3)

r is just radius, and pi is 3.14....

9.3=r

4/3(pi)((9.3)^3)= 3,479.14 ft^3

Pls help me with this problem

Answers

[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]

To the nearest tenth of a second, the ball is in the air for s.

Answers

Answer:

2.4

Step-by-step explanation:

Took the assignment

Answer:

2.4 seconds is the correct answer.

Step-by-step explanation:

Just completed it.

Which of the following answer choices correctly expresses the number 64?

A. 4'6
B. 4'5
C. 4'4
D. 4'3

Answers

Answer:

4’3

Step-by-step explanation:

Took test

Answer:

4’3

Step-by-step explanation:

How many units the function y = |x - 8| is translated from the parent function?

Answers

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

Find the equation of the line:

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

If 1125 = 3^m × 5^n ;find the value of m and n.​

Answers

9514 1404 393

Answer:

  m = 2

  n = 3

Step-by-step explanation:

1125 = 9·125 = 3^2 · 5^3

  m = 2

  n = 3

_____

Additional comment

Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.

  1125/5 = 225

  225/5 = 45

  45/5 = 9

  9/3 = 3

  3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.

Help me to solve this fast ( prove it)

Answers

Step-by-step explanation:

sec⁴A + tan⁴A = 1 + (2tan²A/cos²A)

LHS = sec⁴A + tan⁴A

= (sec²A)² + (tan²A)² {using formula of a²+b²)

= (sec²A-tan²A) + 2tan²A.sec²A

= 1 + {2tan²A.(1/cos²A)}

= 1 + (2tan²A/cos²A)


If a block weighs 8kg PLUS half a block.
What is the weight of a block and a half?

Answers

Answer:12kg

Step-by-step explanation:

8kg+4kg=12kg

the 4kg came from the half block

se um bloco pesa 8 kg meio bloco pesa 4 kg então é só juntar 8+4=12

Find range
of
f(x) =
[tex]1 \div ( |x| - x)[/tex]

Answers

Step-by-step explanation:

We need to find thr range if

[tex] \frac{1}{ (|x| - x)} [/tex]

The absoulte value of something is positive.

So

[tex] \frac{1}{x - x} = \frac{1}{0} [/tex]

This function isn't possible so no range exist.

What is the fraction called that is used to convert one unit to another?

Answers

Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

find the length of x

Answers

Answer:

7/2 =x

Step-by-step explanation:

The triangles are similar so we can write a ratio to solve

2         4

---- = -------

x        7

Using cross products

2*7 = 4x

14 = 4x

14/4 = 4x/4

7/2 =x

Answer:

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

Step-by-step explanation:

[tex]\frac{4}{2} :\frac{7}{x}[/tex]

x · 4 = 7 · 2

4x = 14

4x ÷ 4 = 14 ÷ 4

x = 3.5

y = -4(x + 6)(x - 8)
How do you write this in standard form?

Answers

Answer:

[tex]y = -4x^2 + 8x + 192[/tex]

Step-by-step explanation:

Hi there!

Standard form: [tex]y=ax^2+bx+c[/tex]

[tex]y = -4(x + 6)(x - 8)[/tex]

Use the distributive property to multiply (x+6) and (x-8)

[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]

Multiply the parentheses by -4

[tex]y = -4x^2 + 8x + 192[/tex]

I hope this helps!

What is the area of the obtuse triangle below?
11
13
A. 12 sq. units
7
B. 71.5 sq. units
C. 24.5 sq. units
D. 143 sq. units

Answers

D cause that’s the answer

Use a number line to represent the following. (a) {-4,-1, 0, 2, 3}​

Answers

Step-by-step explanation:

sorry I couldn't draw it properly but that is it...

I hope it helps

Answer:

Step-by-step explanation:

Draw a line and divide it into 13 equal parts.

Mark 0 in the middle of number line.  

Mark negative numbers to the left of zero and mark positive numbers to the right of zero.

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