Question 1.) find Hcf and Lcm of 426 and 576

Questions 2.)prove that
[tex]3 + 2 \sqrt{5} [/tex]
is irrational number.

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Answers

Answer 1

Answer:

1.

426=2*3*71

576=2*2*2*2*2*2*3*3

Now

L.C.F= 2×3×71*2*2*2*2*2*3=40896

H.C.F=2*3=6.

2.

we have.3+2√5

An irrational number is a number that cannot be expressed as a fraction for any integers.

over here √5 is not expressed as a fraction

So3+2√5 is not rational number.


Related Questions

Triangle ABC is similar to triangle XYZ. Find side a.

Answers

Answer:

I think it should be 15...

Step-by-step explanation:

13 * 3 = 39

5 * 3 = 15

Sida "a" of the given triangle ABC is 15.

What are similar triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Given Triangle ABC and Triangle XYZ are similar triangles. Hence,

AB /BC  = XY / YZ

Since, XY  =13 , YZ = 5, and AB = 39

Putting these values in the above equation

39/ a = 13/5

a = 15

Therefore, in the given triangle ABC side a  is 15.

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What is the sign of -4x\cdot y\cdot 0^6−4x⋅y⋅0 6 minus, 4, x, dot, y, dot, 0, start superscript, 6, end superscript when xxx and yyy are positive numbers?

Answers

Answer:

non-negative

Step-by-step explanation:

Given

[tex]-4x\cdot y\cdot 0^6[/tex]

[tex]x , y > 0[/tex] --- Positive numbers

Required

The sign

[tex]-4x\cdot y\cdot 0^6[/tex]

First, we simplify the expression

[tex]0^6 = 0[/tex]

So:

[tex]-4x\cdot y\cdot 0^6 = -4x\cdot y\cdot 0[/tex]

The product of 0 and any factor is 0. So:

[tex]-4x\cdot y\cdot 0^6 = 0[/tex]

Since the result is 0, then the sign is non-negative

can someone pls help

Answers

Answer:

Commutative property

Step-by-step explanation:

Commutative property is usually 2 equations switched around

Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle. To represent his total cost, Leon writes the expression shown 1.05(x-0.2x) . Which expression also represents Leon’s total cost?

A.) 0.79x
B.) 0.84x
C.) 0.85x
D.) 0.21x

Answers

Answer:

B.) 0.84x

Step-by-step explanation:

total cost= 1.05(x-0.2x)

= 1.05 (0.8x) = 0.84x

Write 7 17/20 as a decimal

Answers

Answer:7.85

Step-by-step explanation:

7 17/20 as a decimal is 7.85

how I got that?

1. 17/20=0.85

2, 7+0.85=7.85

hope this helps!

10. Use the data to determine the missing values in the five-number summary.
Data Values
5, 7, 2, 3, 4, 1, 7, 8, 5, 6, 2, 3, 7, 1, 9, 6, 1, 2, 5, 3, 8, 3, 2, 7, 5, 9
minimum: 1
Q1:
Q2:
Q3:
maximum: 9

Answers

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

A total of 378 vacationers are planning to take an extended
trip down the Oregon trail (to learn about life as an early
settler). IA 21 people can comfortably fit inside a covered
wagon and the trip organizers have borrowed 13 wagons, how
many more will they need.

Answers

378 total
21 x 13 = 273
378 - 273 = 105 people left
105/ 21 = 5 more wagons

find the volume of the given solid​

Answers

Answer:

15,000cm^3

Step-by-step explanation:

Dividing the solid into 2;

Volume = Volume of A + Volume of B

Volume of Top prism (A) =25cm * 20cm * 10cm

Volume of Top prism (A) = 5000cm^3

Volume of bottom prism B = 20cm * 50 * 10

Volume of bottom prism B = = 10000cm^3

Volume of the figure = 5000 + 10000

Volume of the figure = 15,000cm^3

HELP ASAP! Will name brainliest.
Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.
g(x) = −5ln (x − 6)
g(x) = −5ln (x + 6)
g(x) = 5ln (x − 6)
g(x) = 5ln (x + 6)

Answers

Answer:

g(x) = 5ln (x-6)

Step-by-step explanation:

For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching

Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)

Now, when we shift by a certain number of units, this is particularly a translation

The kind we have here is a horizontal translation

So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value

Thus, we have the resulting function as;

g(x) = 5ln (x-6)

need help asap will give brainlyest

Answers

Answer:

it in a is correct if im wrong it is B

Step-by-step explanation:

Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margot’s trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster?

Answers

Answer:

Margot gets from A to B faster

Step-by-step explanation:

Alan takes 2 hr and 35 min = 2. 58... hr

Margot takes 147/64 hr = 2.296.. hr

A certain species of fish require 1.5 cubic feet of water per fish to maintain a
healthy environment. Find the maximum number of fish you could put in a tank
measuring 5 feet by 3 feet by 3 feet.

Answers

Answer: 30 fish

Step-by-step explanation:

A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.

If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.

Someone pleaseee help I need help ASAP!!!!!! Pleaseee!!!

Answers

Answer:

its right because any object can be measure no matter how curve it is

Step-by-step explanation:


A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
When the line passes through x = -6, what is the value of y? Enter the answer in the box.

HELP ME NOWWW

Answers

The solution is: When the line passes through x = -6, the value of y is: -13.

Here, we have,

given that,

A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.

we know the equation of straight line is: ;

y = mx + c

here, m = 0.75 and, (x,y) =(2, -7)

so, we get,

c = -7 - 0.75*2 = - 8.5

So, the equation of straight line is:

y = 0.75x - 8.5

now, when the line passes through x = -6,

we get,

y =  0.75* (-6) - 8.5

  = - 13

Hence, The solution is: When the line passes through x = -6, the value of y is: -13.

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8-6x=-28 I need help plzzz

Answers

The answer is 6. 8-6(6) = -28.

Answer:

6

Step-by-step explanation:

We need to solve the equation .The given equation is ,

→ 8 - 6x = -28

→ -6x = -28-8

→ -6x = -36

→ x = -36/-6

x = 6

Hence the value of x is 6 .

I need help pleaseee

Answers

Answer:

[tex]x = 6.25[/tex]

Step-by-step explanation:

Since the quadralterials are similar and the perimeter has a ratio of 12:5 the sides also have a ratio of 12:5.

Set up the proportion.

[tex] \frac{12}{5} = \frac{15}{x} [/tex]

[tex]12x = 75[/tex]

[tex]x = 6.25[/tex]

Please help write a system of equations to represent the scenario

Answers

Equations:
x + y = 37
5x + 3y = 161

25 adult tickets
12 student tickets

—————-

Adult tickets are x
Student tickets are y
Equations are for number of tickets sold and price of tickets sold/money earned

x + y = 37
5x + 3y = 161

x = 37 - y

5(37 - y) + 3y = 161
185 - 5y + 3y = 161
- 2y = -24
y = 12

x = 37 - y
x = 37 - 12 = 25

Please let me know if you have questions about this answer

Can someone help me I’m supper confused

Answers

Let x represent the cost of a slice of pizza and let y represent the cost of a hamburger. 7 hamburgers and 3 slices of pizza cost $19, i.e. the $20 you paid minus the $1 change. 8 hamburgers and 2 slices of pizza cost $19.50. So:
3x+7y=19 and 2x+8y=19.5
Solve the system for the values of and . Multiply by 3 and multiply by 5, then add the two products. Subtract the sum from $20 for your answer.

How do i do this, and please step by step i will give brainliest

Answers

Answer:

-50 N

Step-by-step explanation:

125 - 75 = 50

left = negative

right = positive

The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N

Determine the slope of the line that passes through the points:

Answers

Answer:

The slope of the line is 4.

Step-by-step explanation:

Recall that slope = rise over run:  rise / run.

From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be

m = rise / run = 16/4 = 4

The slope of the line is 4.

You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?

Answers

Answer:

There are 59,049 different ways of answering the exam.

Step-by-step explanation:

The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.

Here, the selections are each one of the 10 questions, so we have 10 selections.

And each one of these selections has 3 options (true, false, blank)

So, we have 10 selections with 3 options each, then the total number of combinations will be:

C = 3*3*3*3*3*3*3*3*3*3 = 3^10

C = 59,049

There are 59,049 different ways of answering the exam.

Questions 7,11,12,14,15and 16 please thanks

Answers

№7

[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]

№11

[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]

№12

[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]

№14

[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]

№15

[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]

№16

[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]

what is the answer I need help​

Answers

Answer:

C

Step-by-step explanation:

The product will be greater than

help due in 10 mins find the in.

Answers

Answer:

252 inches

hope u got it correct

Answer:

21 in

Step-by-step explanation:

The actual length is 21 ft = 21 × 12 = 252 in

The model is [tex]\frac{1}{12}[/tex] of the actual size , then

model length = 252 ÷ 12 = 21 in

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
dy/dt = 1/8 t

y = ?

Answers

Answer:

[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

FunctionsFunction NotationCoordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                                   [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]

Step 2: Find General Solution

Use integration

[Derivative] Rewrite:                                                                                         [tex]\displaystyle dy = \frac{1}{8} t\ dt[/tex][Equality Property] Integrate both sides:                                                        [tex]\displaystyle \int dy = \int {\frac{1}{8} t} \, dt[/tex][Left Integral] Integrate [Integration Rule - Reverse Power Rule]:                 [tex]\displaystyle y = \int {\frac{1}{8} t} \, dt[/tex][Right Integral] Rewrite [Integration Property - Multiplied Constant]:           [tex]\displaystyle y = \frac{1}{8}\int {t} \, dt[/tex][Right Integral] Integrate [Integration Rule - Reverse Power Rule]:              [tex]\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C[/tex]Multiply:                                                                                                             [tex]\displaystyle y = \frac{t^2}{16} + C[/tex]

Step 3: Find Particular Solution

Substitute in point [Function]:                                                                         [tex]\displaystyle 18 = \frac{0^2}{16} + C[/tex]Simplify:                                                                                                             [tex]\displaystyle 18 = 0 + C[/tex]Add:                                                                                                                   [tex]\displaystyle 18 = C[/tex]Rewrite:                                                                                                             [tex]\displaystyle C = 18[/tex]Substitute in C [Function]:                                                                                [tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
DONT MINF MY PRO CROPPING. DEFF.
ALSO ITS NOT C

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Subtract area of triangle from total area: 30 - 14 = 16Since the figure is a square, all the sides are equal. Therefore, we need to find the square root of 16: √16 = 4All the sides of the square are 4 cm long

To check, reverse application:4 x 4 = 1616 + 14 = 30

Find the perimeter of the triangle in terms of b.

I’m marking branliest

Answers

Answer:

7b - 2 = 6b

3b + 7 = 10b

6b + 6b + 10b +10b

12b + 20b

34b

Below is the normal distribution curve for height (inches) of NBA basketball players.

If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)

Answers

Answer:  113

==================================================

Explanation:

mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)

From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.

Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.

So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%

We have 2.5% of the population taller than 91 inches

2.5% of 4500 = 0.025*4500 = 112.5 = 113

Roughly 113 people are taller than 91 inches

----------

Side notes:

The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.


4. Which of the following lines has a negative slope?

a.
b.
c.
d.
e. none of the above

Answers

Answer:

A

Step-by-step explanation:

You can tell it has a negative slope because the line is moving down

hope this helps <3

Please help me I will give branliest!!! Find the indicated trig ratio and write your answer as a simplified fraction. Image attached

Answers

From SOHCAHTOA

Sin0=Opp/HYP

Sin0 = 9/15

Step-by-step explanation:

sinβ=p/h

sinβ=12/15

sinβ=4/5

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