square root of 2025 by prime factorisation method​
Please explain step by step

Answers

Answer 1

Answer:

45

Step-by-step explanation:2025....use the smallest prime number to divide the number 2025 till you get to a point were it can't be divided again . Group each prime number with a partner of its value like this :

5×5×3×3×3×3........ then use bracket to separate them like this (5×5)(3×3)(3×3)........ then take a number from each 5×3×3 then multiply to get 45


Related Questions

There will be 3 groups with 3 cards, 1 group with 2 cards and 1 card left over. PLEASE HELP ME PUT THEM IN GROUPS

Answers

Answer:

Step-by-step explanation:

[tex](5x)^4=5x*5x*5x*5x=625x^4\\(-4xy)^2=-4xy*-4xy=16x^2y^2\\-4(xy)^2=-4*xy*xy=-4x^2y^2\\5x^4=5*x*x*x*x\\left~over -16x^2y^2[/tex]

convert 372 in Quinary number​

Answers

Answer:

372₁₀ = 2442₅

Step-by-step explanation:

372 : 5 = 74 r 2

74 : 5 = 14 r 4

14 : 5 = 2 r 4

2 : 5 = 0 r 2 ↑

write down the remainders in the reverse order

372₁₀ = 2442₅

A resting heart rate for men on a chart say 62-65 beats per minute puts men in the good category of scott counted 238 heart beats in 3 1/2 minutes does his heart rate fall into the good category

Answers

no, his bpm is too high, the average heart will go about 217-227.5 in a span of 3 1/2 min, and his is about 15.75 to high, (his bpm is 68 while it should be 62-65)

3xy + 5x + 2 + 3y +x + 4

Answers

3xy+6x+3y+6 is the answe

Answer:

= 3xy + ( 5x + x) + 3y + ( 4 +2 )

= 3xy + 6x + 3y + 6

(NEED ANSWER ASAP PLZ HURRY)Complete the division problem by determining the number that should be placed in the box. 346 13) 4498 - 3900 598 78 -78 0 Numerical Answers Expected! ​

Answers

Answer:

520

Step-by-step explanation:

To know what value should be placed in the box, let us calculate the carry out the operation.

Please see attached photo for explanation.

From the calculations made as shown in the attached photo, the value that should be placed in the box is 520

PLEASE HELP AND EXPLAIN Use the cosine ratio to find the value of x, to the nearest tenth. The video literally NEVER explained how to do this. Please do step by step.

Answers

Answer:

[tex]\boxed{\bold{\huge{\boxed{x = 4.0}}}}[/tex]

Step-by-step explanation:

[tex]\sf Cos\ \theta = \frac{Adjacent}{Hypotenuse}[/tex]

Where [tex]\theta[/tex] = 34° , Adjacent = x and Hypotenuse = 4.8

[tex]\sf Cos \ 34 = \frac{x}{4.8} \\0.829 = \frac{x}{4.8} \\x = 0.829*4.8\\x = 4.0[/tex]

Answer:

[tex]\Huge \boxed{x \approx 4}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle cos (\theta) = \frac{adjacent}{hypotenuse }[/tex]

[tex]\sf \displaystyle cos (34) = \frac{x}{4.8 }[/tex]

Multiplying both sides by 4.8.

[tex]\sf \displaystyle 4.8 \cdot cos (34) = \frac{x}{4.8 } \cdot 4.8[/tex]

[tex]\sf x = 3.97938034[/tex]

The value of x is approximately 4.

[tex]\rule[225]{225}{2}[/tex]

write each expression using exponents 4 x p x 4 x p

Answers

Answer:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Step-by-step explanation:

Given

[tex]4 * p * 4 * p[/tex]

Required

Write as exponents

[tex]4 * p * 4 * p[/tex]

Rearrange to collect Like Terms

[tex]4 * 4 *p * p[/tex]

Group both items

[tex](4 * 4) *(p * p)[/tex]

Apply law of indices

[tex](4^{1+1})(p^{1+1})[/tex]

[tex](4^2)(p^2)[/tex]

Remove bracket

[tex]4^2p^2[/tex]

Hence:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Evaluate 18×2-4^2 ÷8

Answers

Answer:

34

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

18 × 2 - 4² ÷ 8

Step 2: Exponents

18 × 2 - 16 ÷ 8

Step 3: Multiply

36 - 16 ÷ 8

Step 4: Divide

36 - 2

Step 5: Subtract

34

helppppp pls simple algebra hella points show your work

Answers

Answer:

y = -7,   y = -3

Step-by-step explanation:

(y - 3)² = 2y² + 4y + 30

expand:

y² - 6y + 9 = 2y² + 4y + 30

subtract 30 from both sides

y² - 6y + 9 - 30= 2y² + 4y + 30 - 30

simplify:

y² - 6y - 21 = 2y² + 4y

subtract 4y from both sides

y² - 6y - 21 -4y = 2y² + 4y - 4y

simplify:

y² - 10y - 21 = 2y²

subtract 2y² from both sides

y² - 10y - 21 - 2y² = 2y² - 2y²

simplify:

-y² - 10y - 21 = 0

solve y by quadratic equation

         - (-10) ± √ (-10² - 4(-1)(21)

y = --------------------------------------

               2(-1)

y = -7,   y = -3

Answer:

[tex]\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex](y-3)^2 =2y^2 +4y+30[/tex]

Expanding brackets.

[tex]y^2-6y+9=2y^2 +4y+30[/tex]

Subtracting (y² - 6y + 9) from both sides, then switching sides.

[tex]y^2 +10y+21=0[/tex]

Factoring left side.

[tex](y+3)(y+7)=0[/tex]

Setting factors equal to 0.

[tex]\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3[/tex]

[tex]\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7[/tex]

[tex]\rule[225]{225}{2}[/tex]

Is 9/3 a repeating decimal? Please answer!!

Answers

Step-by-step explanation:

A repeating decimal is a recurring decimal. It has no end when divided.

9/3 is 3 so it is a terminating decimal.

it does not repeat

Answer:

The single repeating digit is 3.

Step-by-step explanation:

Last year Kerry's take home pay was $15 000. She spent of her take
home pay on rent. She used the rest of her take home pay for living
expenses, clothes and entertainment in the ratio 3:1:2 How much did
Kerry spend on entertainment last year? ​

Answers

Answer:

3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.

What is 196 classified as

Answers

Answer:

it is so unclear to say . If any more information is given, then only it can be answered. I don't think 196 is so special to be classified.

Find the vertex of the parabola y = 2x2 + 10x + 8

Answers

Step-by-step explanation:

2x*2+10x + 8

=4x+10x+8

=14x+8

inverse of 14x+8

x-8/14

=14

Answer:

y vertex=2(-5/2)^2+10(-5/2)+8=-9/2

vertex=(-5/2, -9/2)

It costs $10 to initially get in to a county fair, then $2 for every ride that somebody wants to go on. What would be the slope and the y-intercept
in this situation?

Select 2 that apply
Da

d
Y-Intercept = 10
Y-Intercept = 5
Y-Intercept = 2
Y-Intercept = 20
Slope = 5
Slope = 20
Slope = 2
Slope = 10
Le
h

Answers

Answer:

y intercept is 10 and slope is 2

Step-by-step explanation:

if there are 26 students in each third grade class and 3 third grade classes in the school , how many students will attend an assembly for third grafers if a total of 4 students absent.

Answers

Answer:

74 students would attend the assembly for third graders

Step-by-step explanation:

26 × 3 = 78

78 - 4 = 74

a^2+b^2=9 , a+b=? with the method ​

Answers

Answer:

3

Step-by-step explanation:

a^2+b^2=9

(a+b)^2=9

finding the square root on both sides of the equation

a+b=3

the surface area of a cube-shaped gift box can be represented by the function A(s) = 6s2, where s is the side length of the box in inches. What does the constant in the function A(s) represent?

Answers

Answer:

  the number of faces of a cube

Step-by-step explanation:

For an edge length of s, the area of one face of a cube is s^2. The area of all six faces of the cube, the total surface area, is 6s^2. The number 6 represents the number of congruent faces of a cube.

Answer:  the number of faces on the box

Step-by-step explanation:

Suzi can type around 50 words per minute she has less than a week to taper final research paper is the paper has to at least be 20 pages long and each Page has about 380 words how many hours should Susie Santa side to taper assignment show your work to receive full credit round your answer to the nearest tenths place

Answers

Answer:

2.5 hours

Step-by-step explanation:

(380/50) x 20

7.6 x 20

152

The final answer wold be 152 minutes or 2.5 hours

The quadratic function g(x) has a vertex at (-5, 0) and y-intercept of (0, -5). What is g(1)?

Answers

Answer:

g(1)=7 1/5

Step-by-step explanation:

vertex (-5,0) , y intercept(0,5)

the quadratic equation is in the form of a parabola: y=ax²+bx+c

y=a(x-h)²+k    find a and b and c

5=a(0-(-5))²+0

5=a(5)²+0

5=25a  ⇒ a=5/25 ⇒ a=1/5

-b/2a=h

-b=2ah ⇒=-b=2(1/5)(-5) ⇒ -b=-2⇒ b=2

y=c=5 ( when x=0, y intercept)

y=1/5x² + 2x + 5

g(1)=1/5(1)²+2(1)+5

g(1)=1/5+2+5

g(1)=7 1/5

A quadratic function has a degree of 2, and it is represented as: [tex]y = ax^2 + bx + c[/tex]. The value of g(1) is -7.2

Given that:

[tex](h,k) = (-5,0)[/tex] --- the vertex

[tex](x,y) = (0,-5)[/tex] --- the y-intercept

The quadratic function in vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

Where:

[tex](h,k) = (-5,0)[/tex] --- the vertex

So, we have:

[tex]y = a(x - -5)^2 + 0[/tex]

[tex]y = a(x +5)^2[/tex]

Substitute [tex](x,y) = (0,-5)[/tex] to calculate the value of a

[tex]-5 = a(0 +5)^2[/tex]

[tex]-5 = a(5)^2[/tex]

[tex]-5 = a \times 25[/tex]

Divide both sides by 25

[tex]a = -\frac 15[/tex]

So, the quadratic equation is:

[tex]y = a(x +5)^2[/tex]

[tex]y = -\frac 15(x +5)^2[/tex]

Rewrite as a function

[tex]g(x) = -\frac 15(x +5)^2\\[/tex]

To calculate g(1), we simply substitute 1 for x

[tex]g(1) = -\frac 15(1 +5)^2[/tex]

[tex]g(1) = -\frac 15(6)^2[/tex]

[tex]g(1) = -\frac 15 \times 36[/tex]

[tex]g(1) = -7.2[/tex]

Hence:

The value of g(1) is -7.2

Read more about quadratic functions at:

https://brainly.com/question/4119784

Solve 4(2x − 1) − 3 = 9(x − 4)

Answers

Answer:

x = 29

Step by step explantion:

Answer:

x = 29

Step-by-step explanation:

Distribute/ Multiply:

8x - 4 - 3 = 9x - 36

Rearrange the equation:

8x - 9x = -36 + 4 + 3

Combine like terms:

-1x = -29

Divide:

x = 29

If a line with slope = 2 passes through the points (4,-8) and (x,2), find x

Answers

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula then equate to 2

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

with (x₁, y₁ ) = (4, - 8) and (x₂, y₂ ) = (x, 2 )

m = [tex]\frac{2+8}{x-4}[/tex] = [tex]\frac{10}{x-4}[/tex] = 2 ( multiply both sides by x - 4 )

2(x - 4) = 10 ( divide both sides by 2 )

x - 4 = 5 ( add 4 to both sides )

x = 9


Need help please‼️ I appreciate it

Answers

Answer:

the answer is the last choice

Step-by-step explanation:

Solve this equation: 6 - x = 14

Answers

Answer:

-8

Step-by-step explanation:

6-(-8)= 14

Answer:

x = -8

Step-by-step explanation:

Rearrange: 14 = 6 - xAdd x to each side, so it now looks like this: 14 + x = 6Subtract 14 from each side, so it now looks like this: x = -18

I hope this helps!

In 2003, a remote controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the airplane's position at three different points during its flight. Point A represents Cape Spear, Newfoundland, point B represents the approximate position after 1 day, and point C represents Mannin Bay, Ireland. The airplane left from Cape Spear and landed in Mannin Bay. Find the total distance the model airplane flew. It flew miles. The model airplane's flight lasted nearly 38 hours. Estimate the airplane's average speed to the nearest mile per hour. The average speed was about miles per hour.

Answers

Answer: it flew 1883 miles and average speed was about 50 miles per hour

Step-by-step explanation: to get 1883 you just add up 1282+601

What type of data is the following: “There were four dogs in the group."
A.) none of the other answers are correct
B.) Quantitative data
C.) Catgorical data

Answers

Answer: B.) Quantitative data

Step-by-step explanation:

Quantitative data is basically defined as a data with numbers that measure quantities.Category data have different categories or groups in it.

In the given statement, we do not have categories but the count of dogs as "four" in a group.

Hence, the given statement represents "Quantitative data" .

So, the correct option is B) .

Write an integer to represent the following: |-34|

Answers

Answer:

34

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| a | = | - a | = a , thus

| - 34 | = 34

12. The sum of four consecutive numbers in A.P. is 32 and the ratio of the product of the first and last terms to the product of two middle terms is 7:15. Find the number.

Answers

Answer:

2, 6, 10, 14

or

14, 10, 6, 2.

Step-by-step explanation:

Let the four consecutive numbers in A.P. be a - 3d, a - d, a + d, a + 3d

According to the first condition:

a - 3d + a - d + a + d + a + 3d =32

4a = 32

a = 32/4

a = 8

According to the second condition:

[tex] \frac{(a - 3d)(a + 3d)}{(a - d)(a + d)} = \frac{7}{15} \\ \\ \frac{ {a}^{2} - (3d)^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {a}^{2} - 9d^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {8}^{2} - 9d^{2} }{ {8}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ 64 - 9d^{2} }{ 64 - {d}^{2} } = \frac{7}{15} \\ \\ 15(64 - 9 {d}^{2} ) = 7(64 - {d}^{2} ) \\ \\ 960 - 135 {d}^{2} = 448 - 7 {d}^{2} \\ \\ 960 - 448 = 135 {d}^{2} - 7 {d}^{2} \\ \\ 512 = 128 {d}^{2} \\ \\ {d}^{2} = \frac{512}{128} \\ \\ {d}^{2} = 4 \\ \\ d = \pm 2 \\ \\ when \: d = 2 \\ a - 3d = 8 - 3 \times 2 = 8 - 6 = 2 \\ a - d = 8 - 2 = 6 \\ a + d = 8 + 2 = 10 \\ a + 3d = 8 + 3 \times 2 = 8 + 6 = 14 \\\\ when \: d = - 2 \\ a - 3d = 8 - 3 \times ( -2 ) = 8 + 6 = 14 \\ a - d = 8 -( - 2 )= 8 + 2 = 10 \\ a + d = 8 + ( - 2 )= 8 - 2 = 6\\ a + 3d = 8 + 3 \times ( - 2 )= 8 - 6 = 2 \\[/tex]

Thus the four consecutive numbers of the A. P. are 2, 6, 10, 14 or 14, 10, 6, 2.

The total combined volume of a glass, a jar, and a pitcher is 54 liters. If the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses, what is the volume of the glass?

Answers

Answer:

6 liters.

Step-by-step explanation:

So we have a glass, a jar, and a pitcher and together, they hold 54 liters.

We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:

[tex]g+j+p=54[/tex]

Since  jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:

[tex]g+(3g)+(5g)=54[/tex]

Combine like terms:

[tex]9g=54[/tex]

Divide both sides by 9. The left cancels:

[tex](9g)/9=54/9\\g=6[/tex]

Therefore, the volume of the glass is 6 liters.

Answer:

[tex]\Large \boxed{\sf 6 \ liters}[/tex]

Step-by-step explanation:

Let the volume of the glass be x.

Let the volume of the jar be y.

Let the volume of the pitcher be z.

[tex]\sf y = 3x \\\\z = 5x[/tex]

[tex]\sf x + y + z = 54[/tex]

Substitution method.

[tex]\sf x+3x+5x=54[/tex]

Combining like terms.

[tex]\sf 9x = 54[/tex]

Dividing both sides by 9.

[tex]\sf x = 6[/tex]

The volume of the glass is 6 liters.

PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!

Answers

Answer: -3/2

Step-by-step explanation:

There are two methods to find the slope

METHOD 1. Rise/Run

Rise: the y-axis value

Run: the x-axis value

In the graph, rise/run=3/2

The line is going down, so it should be negative

-3/2

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Does anybody know the answer???

Answers

Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

Answer:

Rectangle

Step-by-step explanation:

Opposite sides (1, 1), (4,1) and (1, 3), (4,3) are horizontal and have length 3.

Opposite sides (1, 1), (1, 3) and (4, 1), (4,3) are vertical and have length 2.

There two pairs of opposite sides that are congruent, so this is a parallelogram. Since not all sides are congruent, this is not a square or a rhombus.

In addition, vertical sides and horizontal sides form right angles, so this is a parallelogram with right angles. It is a rectangle.

Other Questions
Name the three Hebrew kings and their contributions. Where was the word Croatoan found? How can I make my Wi-Fi signal fast? I am going through my exam but my Wi-Fi is not supporting plz help. Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints. in sniper story Q1 The author compares the enemy armored car or tank to what? solving these quadratics for x using complete the square 3x^2-4x-1=0 the belief expressed in the declaration of independence that "just powers are derived from the consent of the governed" is the best described as You work for a pharmaceutical company. During your lunch breaks, you have become acquainted with one of the graphic artists at your company. He has just finished designing a logo for a new product, and the logo is now on your company's website. He mentions that he created the new design by downloading a logo that he found on an automaker's website and changing it a little. Which of the following statements is true?a. Your company is protected by the fair-use concept because your company and the other company are in different industries.b. Your company is protected by the work-made-for-hire concept.c. Your company has probably violated the automaker's trademark.d. Your company is protected because there is no trademark or registered trademark symbol after the logo on the automaker's Web site. Which expression models the followingphrase: "an hourly wage of $12.75"? Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 5 + 54x 2x3, [0, 4] What is the value of m in the equation 1/2m -3/4n=16,when n=8?A:20B:32C:44D:48 In what ways is eukaryotic replication similar to bacterial replication, and in what ways is it different Ronald and Tim both did their laundry today. Ronald does laundry every 6 66 days and Tim does laundry every 9 99 days. 13.26 g hassignificant figures1.01234. Distinguish between barriers to communication and misconceptions on communication. Doing as others do is what social psychologists call a. norm formation. b. conformity. c. obedience. d. reactance. solve the equation x over 4 = 12 over 6 Which of the following will increase the gravitational force exerted by one object on another? Increasing the temperature of the objects Decreasing the temperature of the objects Decreasing the distance between the objects Increasing the distance between the objects 10a -5ab+ 4b(if a = 2/5 and b =-1/6) A willingness to accept different ideas that may not agree with their hypothesis is called what?