Solve the Exponential Equation:
[tex]5 { }^{66} = {3}^{42} [/tex]
​

Step-by-step explanation:

length of each rectangle= 9 1/14=127/14

breadth of each rectangle=5=4 1/2= 9/2

so perimeter of 1 rectangle= 2(l+r)

=2(127/14+ 9/2)

=2(127+63)/14

=2×190/14

=190/7

=27.14 feet

so total length of fencing= 4×27.14

=108.57 feet

hope you understand the solution and good luck!!

Answer:

.

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

Using pythagorean theorem,

[tex]c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369[/tex]

Hence satisfied. So it is right triangle.

Answer:

Let Rose be R

Let her daughter be D

"3" yrs ago.

Subtract 3 from their ages

Rose was then (R-3) yrs old.

Daughter ..........(D-3)yrs old

So 3yrs ago.... Rose was 24yrs older than D.

Meaning

R=24+D

Which 3yrs ago can be expressed as

(R-3)=24+(D-3)

R - 3 = 24 + D - 3

R - D=24-3 + 3

R-D=24--------1

Now

At present.

R is 5times as old as Daughter

Meaning R = 5D-------2

Substituting into eqn 1

R-D=24

5D-D=24

4D=24

D=6yrs

Substitute D=6 into any equation of choice to get R

R-D=24

R=24+D

R=24+6

R=30yrs

Now we have Roses's age to be 30yrs and Daughter's age to be 6yrs.

We're asked to find the daughter's age in 3yrs time...

Meaning ....D+3

=6+3 = 9yrs

DAUGHTER WOULD BE 9YRS OLD IN 3YRS TIME.

Answer:

4 Dallas

Step-by-step explanation:

you add how much for the fries and the hamburger the add how much she add left then you will get the amount of money she start with

Answer:

Using the formula

A

=

π

r

2

Solving for

r

r

=

A

π

=

42

π

≈

3.65637

Answer:

180 degrees

Step-by-step explanation:

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

Answer:

B

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

Answer:

rectangle, square and trapezoids can be classified as quadrilaterals

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

Answer:

D: Inflation

money loses value over time because there may be new laws or regulations that will make the value change i think thats part of it but it is D

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

Explanation:

Before we can find the standard deviation, we need to find the sample mean which is xbar.

Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set

xbar = (sum of values)/n

xbar = (45+30+35+20+21+46+16+37)/8

xbar = 31.25

Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.

Example: x-xbar = 30-31.25 = -1.25 in row 2

From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5

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

The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375

This is the population variance. Apply the square root to get the population standard deviation

sqrt(variance) = sqrt(114.9375) = 10.7208908

which is approximate. This rounds to 10.721

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

Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

Answer:

[tex] \sin(x _{1} ) = \frac{1}{2} \\ \sin(x _{1} ) = \sin(30 ) \\ x_{1} = 30 \\ \cos(x _{1}) = \cos(30 ) \\ \cos(x _{1}) = \frac{ \sqrt{3} }{2} [/tex]

Answer:

1;27

Step-by-step explanation:

Answer:

Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

Step-by-step explanation:

i hope i help have a great day :))

Answers:

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

Explanation:

Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.

We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9

Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11

As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.

Answer: y=93.62logx + 19.81

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Hey mate.....pls attach the pic..........

Answer:

[tex]-10x^2 + 70 x = 10x(-x + 7)[/tex]

Explanation :

[tex]-10x^2 + 70x = -10\cdot x\cdot x + 7 \cdot 10 \cdot x[/tex]

'x' and '10' are common in the first and second term. so we take them outside the parenthesis and write the remaining terms inside.

That is,  10 x (-x + 7)

Answer:

The first one-6.324 (This number actually goes on forever), The second one-10

Step-by-step explanation:

1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324

2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10

Answer:

Step-by-step explanation:

Top and bottom

Area = L*W

L = 4

W = 2

Area = 4 * 2 = 8

But there are two of them  (2 * 8)                       16

Left and right

Area = L * W

L = 3

W = 2

Area = 2 *3  = 6

But there are two of them                                   12

From back

L*W = 4*3

But there are two of them                                24

Total                                                                    52

Answer:

(a)

[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]

(b)

[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]

(c)

[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]

(d)

[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]

firstable its not 45

its sin(-240)=sin(60)

sin(60)=√3/2

sin45=√2/2

Answer:

Step-by-step explanation:

x = 7, y = -3     2x + 2y

2 (7) + 2 (-3) = 14 - 6 = 8

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A sample size of 474 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Based on previous evidence, you believe the population proportion is approximately 73%.

This means that [tex]\pi = 0.73[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]

[tex]n = 473.24[/tex]

Rounding up:

A sample size of 474 is required.

Answer:

QR

Step-by-step explanation:

A chord is a line that joins two points on the outside of the circle

QR and KL are chords