Luca solved an equation as shown, and verified
that his solution was correct.
√2x-5 = √x-3+1
( 12x-5)-(1x=3+1)
2x-5= X-3+1
X = 3

Answer:

first you need to know that the the sum of the co-interior angle is  180 degree and the sum of the opposite side of  parallelogram is always equal.

now x+140=180(being co - interior angle)

or, x= 180-140

therefore, x =40 degree

y= 140 degree because sum of the opposite side of  parallelogram is always equal.

x= z=40 degree (sum of the opposite side of  parallelogram is always equal.

when you are again confused go in this link

 ----> https://www.scholr.com/ncert-solutions/consider-the-following-parallelograms-fi/40087/

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Add 65 and 85

65+85= 150

Next subtract 180-150

The answer is 30, so that is the missing angle is 30.

The side opposite to 30 is the shortest side

Here I added the picture!

Answer:

-2x-1

Step-by-step explanation:

when you graph the equation it gives you a decreasing slope with the y intercept of -1. the slope is 2 and since its decreasing it is -2. therefore its -2x-1

The solution is, the function y - 5 = –2(x+3) in slope-intercept form is y = -2x -1 .

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

the function y - 5 = –2(x+3)

now, we have to find  in slope-intercept form.

now, we have,

function has a decreasing slope with the y intercept of -1. the slope is 2

and since its decreasing it is -2.

again, we have,

y - 5 = –2(x+3)

or, y = -2x - 6 + 5

or, y = -2x -1

here, slope = m = -2

and, y-intercept = c = -1

as, we know that,

slope-intercept form is: y = mx+ c

so, we get,  y = -2x -1

Hence, The solution is, the function y - 5 = –2(x+3) in slope-intercept form is y = -2x -1 .

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Answer:

Step-by-step explanation:

[tex]\sqrt[5]{u^{10}*p^{15}}*\sqrt[4]{u^{16}*p^{18}}= \sqrt[5]{u^{2*5}*p^{3*5}}*\sqrt[4]{u^{4*4}*p^{16*2}}\\\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*p^{4*4}*p^{2}}\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*(p^{4)^{4}}*p^{2}}\\\\=u^{2}*p^{3} * u^{4}*p^{4}*\sqrt[4]{p^{2}}\\\\=u^{2+4}*p^{3+4}*\sqrt[4]{p^{2}}\\\\= u^{6}p^{7}\sqrt[4]{p^{2}}[/tex]

Answer: 9/2500

Step-by-step explanation:

We start with turning it into a fraction:

0.36/100

Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)

36/10000

Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:

(36/4)/(10000/4)

= 9/25000

Answer:  y = (5832/25)*(5/18)^x

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

Explanation:

Any general exponential function is of the form

y = a*b^x

Plug in (x,y) = (3,5) and we get

y = a*b^x

5 = a*b^3

If you plug in (x,y) = (2,18), then we'll get this other equation

18 = a*b^2

-------------------

So we have this system of equations

[tex]\begin{cases}5 = ab^3\\18 = ab^2\end{cases}[/tex]

From here, we divide the two equations straight down. The left hand sides divide to 5/18. The right hand sides divide to (ab^3)/(ab^2) which simplifies to b. The 'a' terms cancel and we subtract the exponents for the b terms.

Overall, we end up with b = 5/18

---------------------

Use that value of b to find 'a'

18 = a*b^2

18 = a*(5/18)^2

18 = a*(25/324)

18*(324/25) = a

a = 5832/25

You could use the other equation as well to find 'a'

----------------------

Therefore, the equation in y = a*b^x form is y = (5832/25)*(5/18)^x

To verify this, plugging in x = 3 should lead to y = 5. Similarly, plugging in x = 2 should lead to y = 18.

Answer:

42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

Hope this helps!

:)

Answer:

42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

9514 1404 393

Answer:

  B  (11, 22)

  E  (21, 42)

Step-by-step explanation:

The numbers in the input sequence are ...

  [tex]i_n=i_1+d(n-1)\\\\i_n=3+2(n-1) = 2n+1[/tex]

The numbers in the output sequence are ...

  [tex]o_n=o_1+d(n-1)\\\\o_n=6+4(n-1)=4n+2=2(2n+1)\\\\o_n=2\times i_n[/tex]

So, the ordered pairs we're looking for have an output value that is double the input value.

The two that match this characteristic are ...

  B(11, 22) and E(21, 42)

Answer:

They do because y is always 4 times of x.

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

1/2 times 3/4= 3/8

Answer:

3.07091228=x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 21 = x/8

8 tan 21 =x

3.07091228=x

Answer:

10 feet

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Area of parallelogram is

A = base of parallelogram x height of parallelogram

= 14 x 12 = 168 sq feet

Break parallelogram down into figures

There would be 2 triangles and 1 square

Area of 1 triangle = 0.5 (3 x 12) = 18

Area for 2 triangles = 2 x 18 = 36

Area of square = base x height

= 11 x 12 = 132

132 + 36 = 168

Area of parallelogram is 168 sq feet

Answer:

the answer is no

Step-by-step explanation:

y = -2/3x+2

2y = 3y-4

y = 3/2y-2

but here's a comment: it is perpendicular because it is it's opposite reciprocol

Answer:

161 correo o no ............

Answer:

y = -1/3 x+9

Step-by-step explanation:

First find the slope between the two points

m = ( -1 -8)/(2 - 5)

    -9/-3

   =3

We want a line that is perpendicular so it is the negative reciprocal

-1 /(3)

The slope of the perpendicular line is -1/3

y= mx+b where m is the slope and b is the y intercept

y = -1/3x+b

We have a point of (6,7)

7 = -1/3 (6) +b

7 = -2 +b

Add 2 to each side

7 +2 = -2+b+2

9 = b

The equation of the line is y = -1/3 x+9

Answer:60

Step-by-step explanation:

300 of 20% is 60

The number of qualified customers for the discount will be 60.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.

The number of qualified customers will be calculated as below:-

The qualified customers are 20% of 300.

Number = 300 x (20/100)

Number = 300 x 0.2

Multiply the number 330 with 0.2 to get the final value.

Number = 60

Therefore, the number of qualified customers for the discount will be 60.

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The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (3m⁻⁴)³ (3m⁵)

Now, We can simplify as;

⇒ (3m⁻⁴)³ (3m⁵)

⇒ (3³m⁻¹²) (3m⁵)

⇒ (27m⁻¹²) (3m⁵)

⇒ 81 m⁻¹²⁺⁵

⇒ 81 m⁻⁷

⇒ 81 / m⁷

Thus, The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

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Answer:

[tex]- 2\frac{1}{6}[/tex]

Step-by-step explanation:

[tex](2\frac{1}{6} -1\frac{2}{3}) - 2 \frac{2}{3}[/tex]

[tex](\frac{13}{6} -\frac{5}{3}) - 2 \frac{2}{3}[/tex]

[tex](\frac{13}{6} -\frac{10}{6}) - 2 \frac{2}{3}[/tex]

[tex]\frac{3}{6} - 2 \frac{2}{3}[/tex]

[tex]\frac{3}{6} - \frac{8}{3}[/tex]

[tex]\frac{3}{6} - \frac{16}{6}[/tex]

[tex]- \frac{13}{6}[/tex]

[tex]- 2\frac{1}{6}[/tex]

Answer:

300km

Step-by-step explanation:

if 1 hr=80

then take 80 and multiply it by 3.75

hope this helps!

please give brainiest if you want<3

Answer:

300km

Step-by-step explanation:

Answer:

[tex]5^{15} * 5^{5}[/tex]

= [tex]25^{20\\}[/tex]

Answer:

x = 15

LN and MO both equal 43

Step-by-step explanation:

LN and MO are diagonals in rectangle

Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13

Now we solve for x

4x - 17 = 2x + 13

Add 17 to both sides

4x = 2x + 30

Subtract 2x from both sides

2x = 30

Divide both sides by 2

x = 15

Now we want to find the values of LN and MO

To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )

LN = 4x - 17

Substitute 15 for x

4(15) - 17

Multiply

60 - 17

Subtract

LN and MO = 43

Answer:

(3,0) and (-1,0)

Step-by-step explanation:

The X intercept are the point(s) where the line croses the X axis (the horizontal/leftright line). the points for this graphing system are always listed (x,y) so to find a certain point you find the X value then the Y value

Answer:

18

Step-by-step explanation:

12x3=36=36-9x2=18=36-18=18

Answer:

The right answer is "0.7823".

Step-by-step explanation:

Given that,

P = 42%

or,

  = 0.42

n = 375

[tex]\hat{P}[/tex] = 0.4

The z-score will be:

= [tex]\frac{\hat{P}-\mu_P}{\sigma_p}[/tex]

By putting the values, we get

= [tex]\frac{0.4-0.42}{\sqrt{\frac{0.42\times (1-0.42)}{0.375} } }[/tex]

= [tex]-0.784706[/tex]

hence,

The probability will be:

⇒ [tex]P(\hat {P}>0.04)[/tex] = [tex]P(z>-0.7847)[/tex]

                        = [tex]1-P(z<-0.7847)[/tex]

                        = [tex]1-0.21770[/tex]

                        = [tex]0.7823[/tex]

Answer:

Step-by-step explanation:

Formula = A=πr2

Putting values in the equation

A = (3.14) (5.52)^2

= 95.73

Answer:

95.73

Step-by-step explanation:

2 decimal points is what the question MEANS:

formula for finding a cirlce (and this is not from the internet)

r^2 times pi

(5.52)^2 times pi

which (5.52) squared becomes a sickly: 30.4704 in decimals

lets say you WANT to keep the decimals, then multiply 30.4704 by 3.14159265359 and absolutely get every single decimal place added in and THEN round it to 2 decimal places (once i didn't do this, i got bad grades in math class)

the answer is 95.7255847919

the decimal place of this is 95.73 not 95.72 or something,

the answer is 95.73

Given:

The expression is:

[tex](5^2)(7^2)(3^2)[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex](5^2)(7^2)(3^2)[/tex]

On simplification, we get

[tex](5^2)(7^2)(3^2)=(25)(49)(9)[/tex]

[tex](5^2)(7^2)(3^2)=11025[/tex]

Therefore, the value of the given expression is 11025.

Answer:

5 weekends

Step-by-step explanation:

Felicia already has 60$ of her goal of 189$ so 189-60=129

129/30=4.3

Felicia would need to work exactly 4.3 weekends to make up her goal, but you cant split a weekend into decimals, so we round up to the next whole number which is 5.

Answer:

she needs to work a minimum of 5 weekends

Step-by-step explanation:

60 + 30w ≥ 189

30w ≥ 129

w ≥ 4.3

Answer:

The Sample Size Need To be at least 114

Step-by-step explanation:

According to the Question,

The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.

α/2 = 0.01/2 ⇒ 0.005

Hence, the sample size n can be found as

n = {[tex]\frac{(Z_{alpha/2} * Standard Deviation)}{E}[/tex]}²

n = {2.58 × 6.2}² / 1.5²

n = 113.72 .

So, The Sample Size Need To be at least 114.