find the HCF by prime factorization method 60 and 75​

Answer:

where I find? where is the directions

Answer:

Step-by-step explanation:

Dd

Answer:

64in^3

Step-by-step explanation:

6×3 = 18

18×2 = 36

4×7 = 28

36+28 = 64

Hope this helps! :)

Answer:

9

[tex]3^{\frac{4}{2} }[/tex] = [tex]3^{2} =9[/tex]

Step-by-step explanation:

Answer:

Answer to the following question is as follows.

Step-by-step explanation:

Given:

a = 12500000

b = 0.00125

c = 1120000​

Calculate (ab) ÷ (c)

Given:

d) Express the interval [-1.5, 4] as an inequality and then graph

Computation:

(ab) ÷ (c) = (a)(b) / c

(ab) ÷ (c) = (12500000)(0.00125) / (1120000​)

(ab) ÷ (c) = 25 / 1,792

Express the interval [-1.5, 4]

{x : -1.5 < x ≤ 4}

Graph.

._________._________.

-1.5              0                  4

Answer:

B

Step-by-step explanation:

because

Answer:

0.1317 = 13.17% probability of no successes.

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either there is a success, or there is not. The probability of a success on a toss is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A die is rolled 5 times.

This means that [tex]n = 5[/tex]

5 or 6 is considered a success.

2 out of 6 sides are successes, so:

[tex]p = \frac{2}{6} = 0.3333[/tex]

Find the probability of no success:

This is P(X = 0). So

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

[tex]P(X = 0) = C_{5,0}.(0.3333)^{0}.(0.6667)^{5} = 0.1317[/tex]

0.1317 = 13.17% probability of no successes.

Answer:

[tex]n = 5\frac{10}{13}[/tex]

Step-by-step explanation:

Given

[tex]Call = 6\frac{1}{2}[/tex] cups

[tex]Recipe = 37\frac{1}{2}[/tex] ounce

Required

Number of ounces per cup (n)

To do this, we simply divide the Recipe by the call

So, we have:

[tex]n = \frac{Recipe}{Call}[/tex]

[tex]n = 37\frac{1}{2} \div 6\frac{1}{2}[/tex]

Express as improper fraction

[tex]n = \frac{75}{2} \div \frac{13}{2}[/tex]

Rewrite as:

[tex]n = \frac{75}{2} * \frac{2}{13}[/tex]

[tex]n = \frac{75}{13}[/tex]

[tex]n = 5\frac{10}{13}[/tex]

Answer:

[tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Integrals

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

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

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

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Shell Method:                                                                                                         [tex]\displaystyle V = 2\pi \int\limits^b_a {xf(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

y = x²

y = 0

x = 9

Step 2: Identify

Find other information from graph.

See attachment.

Bounds of Integration: [0, 9]

Step 3: Find Volume

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

Unit: Applications of Integration

Book: College Calculus 10e

Answer:

[tex]x=\frac{4}{15}[/tex]

Step-by-step explanation:

[tex]10-18x=-3x+6[/tex]

[tex]10-6=-3x+18x\\4=15x\\\frac{4}{15} =x[/tex]

Hope this helped! Please mark brainliest :)

Answer:

1/4 = x

Step-by-step explanation:

x - 2( 3x - 1 ) = 3x

Step 1 :- Distribute 2

x - 2 × 3x - 2 × 1 = 3x

x - 6x + 2 = 3x

Step 2:- Combine like terms

-5x + 2 = 3x

Step 3 :- Add 5x to both sides

-5x + 5x + 2 = 3x + 5x

2 = 8x

Step 4 :- Divide both side by 8

2/8 = 8x / 8

1/4 = x

Answer:

Slope is undefined. Line parallel to y-axis.

Step-by-step explanation:

By Analytic Geometry, we can determine the slope of a line by knowing two distinct lines and using the definition of secant line:

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

Where:

[tex](x_{1}, y_{1})[/tex] - Coordinates of the initial point.

[tex](x_{2}, y_{2})[/tex] - Coordinates of the final point.

[tex]m[/tex] - Slope.

If we know that [tex](x_{1}, y_{1}) = (17, -13)[/tex] and [tex](x_{2}, y_{2}) = (17, 8)[/tex], then the slope of the line is:

[tex]m = \frac{8-(-13)}{17-17}[/tex]

[tex]m = \frac{21}{0}[/tex]

The slope is undefined, which means that line is parallel to y-axis.

Answer:

The vector equation

[tex]r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k[/tex]

The parametric equation

[tex]x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t[/tex]

Step-by-step explanation:

Given

[tex]Point = (2,2.4,3.5)[/tex]

[tex]Vector = 3i + 2j - k[/tex]

Required

The vector equation

First, we calculate the position vector of the point.

This is represented as:

[tex]r_0 = 2i + 2.4j + 3.5k[/tex]

The vector equation is then calculated as:

[tex]r = r_o + t * Vector[/tex]

[tex]r = 2i + 2.4j + 3.5k + t * (3i + 2j - k)[/tex]

Open bracket

[tex]r = 2i + 2.4j + 3.5k + 3ti + 2tj - tk[/tex]

Collect like terms

[tex]r = 2i + 3ti+ 2.4j + 2tj+ 3.5k - tk[/tex]

Factorize

[tex]r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k[/tex]

The parametric equation is represented as:

[tex]x = x_0 + at\\y = y_0 + bt\\z = z_0 + ct[/tex]

Where

[tex]r = (x_0 + at)i +(y_0 + bt)j+(z_0 + ct)k[/tex]

By comparison:

[tex]x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t[/tex]

-41

The remainder theorem states that when a polynomial F(x) is divided by (x - k) the remainder is F(k). In other words, the remainder when f(x) is divided by (x-k) is calculated by simply calculating F(k).

Given:

F(x) = x³ - 9x² + 5x - 2                   -----------------(i)

To calculate F(3), substitute x = 3 into equation (i) as follows;

F(3) = (3)³ - 9(3)² + 5(3) - 2

F(3) = 27 - 81 + 15 - 2

F(3) = -41

This means that if the polynomial F(x) = x³ - 9x² + 5x - 2 is divided by x - 3, the remainder will be -41.

Answer:

3+ 0 = 3

( 4+7) + 3.0 × 1 = 4 + (7+3)

9 + 8 = 8 + 9

Answer:

5b^2-(5+6)b+6=0

5b^2-5b-6b+6=0

5b(b-1)-6(b-1)=0

(5b-6)(b-1)=0

either

(5b-1)=0

5b=1

b=1/5

or

b-1=0

b=1

Step-by-step explanation:

firstly find out the mid term factor i e in above qn 11 should be break down so that its multiple should be coefficient of b and constant and additiqn should be equals to 11 .so we find out 5 and 6

Answer:

Step-by-step explanation:

1. subtract 3.5-3.5 and 12.5-3.5

2.You should 4t=9

3. Divide 4 ÷ 4 and 9 ÷ 4

4. You should have t = 2.25

Answer:

t = 2.25

Step-by-step explanation:

Step 1 :- Divide both side by 3.5.

Step 2 :- Divide each side by 4.

Answer:

$370,881

Step-by-step explanation:

firstly we we multiply 1,5% by 2yrs. the answer we get is 3,0%. we then multiply 3 % by $123,627 and get $370,881

If Lisa bought a house The value of the house increased by 1.5% each year for 2 years.  The value of the house was £123,627. The initial amount of the house is  95120.7.

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lisa bought a house The value of the house increased by 1.5% each year for 2 years

By the end of 2 years, the value of the house was £123,627.

A=P(1+rt)

A is the final amount,

r is rate of interest

t is the time

P is principle amount.

123,627=P(1+1.5/100 (2))

123657=P(1+0.15(2))

123657=P(1+0.3)

123657=1.3P

Divide both sides by 1.3

P=95120.7

The initial amount of the house when Lisa bought is 95120.7

To learn more on Percentage click:

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Answer:

[tex]\displaystyle f(3x) = \frac{6x + 5}{3x + 4}[/tex]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \frac{2x + 5}{x + 4}[/tex]

Step 2: Find

9514 1404 393

Answer:

  d = kw/p

Step-by-step explanation:

When d varies directly with w, the equation is ...

  d = kw

When d varies inversely with p, the equation is ...

  d = k/p

When d does both, the equation is ...

  d = kw/p

Answer:

Step-by-step explanation:

21,753

at unit place=3 not an even number,not equal to 5 and not equal to 0

so 21,753 is not divisible by 2,5 and 10

again

2+1+7+5+3=18 divisible by 3 and 9.

so 21,753 is divisible by 3 and 9.

Answer:

[tex]d_2=-8.32ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of first draw down [tex]h=30[/tex]

Pump Discharge [tex]Q=250gallons/day[/tex]

Well 1 depth [tex]d_1=10ft[/tex]

Transmissivity[tex]\=T 10.0 ft2/day[/tex]

Radius[tex]r=0.5[/tex]

Well 2 depth [tex]d_2=50ft[/tex]

Generally the Thiem's equation for Discharge is mathematically given by

 [tex]Q=\frac{2\piT(h_2-h_1)}{ln(\frac{r_2}{r_1})}[/tex]

 [tex]250=\frac{2*\pi 10 (10-d_2)}{ln(\frac{50}{0.5})}[/tex]

 [tex]1151.293=2*\pi 10 (10-d_2)[/tex]

 [tex]d_2=-8.32ft[/tex]

Answer:

The amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.

Step-by-step explanation:

Given that you want to buy a $ 203,000 home, and you plan to pay 10% as a down payment, and take out a 30 year loan for the rest, for A) determine how much is the loan amount going to be, B) determine what will your monthly payments be if the interest rate is 6%, and C) determine what will your monthly payments be if the interest rate is 7%, the following calculations must be made:

A) 100 - 10 = 90

203,000 x 0.90 = X

182,700 = X

B) (182,700 x 1.06) / (30 x 12) = X

193,662 / 360 = X

537.95 = X

C) (182,700 x 1.07) / (30 x 12) = X

195,489 / 360 = X

543.025 = X

Therefore, the amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.

Answer:

change inches into centimeter and then divide it

hope this help

Answer:

The function represents the sequence is - 3 n + 23.

Step-by-step explanation:

20. 17, 14, 11, 8,......

Here, the first term is

a = 20

Common difference, d = -3

Let the nth term is Tn.

Tn = a + (n -1) d

Tn = 20 + (n -1) x (-3)

Tn = 20 - 3 n + 3

Tn = 23 - 3 n = - 3 n + 23

So, the function represents the sequence is - 3 n + 23.

Answer:

Y'all know what it is already, but I want points, so: f(n) = -3n + 23

[tex]4 \sqrt{10} [/tex]

Step-by-step explanation:

Use Pythagoras

A^2 + b^2 = c^2

(6)^2 + b^2 = (14)^2

36 + b^2 = 196

B^2 =160

[tex]b = \sqrt{160} [/tex]

[tex]b = 4 \sqrt{10} [/tex]

Answer:

188 degrees

Step-by-step explanation:

The measure of the arc is the center angle, that is double of the circumference one

94 * 2 = 188 degrees