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

Answer:

1;27

Step-by-step explanation:

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:

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°

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:

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

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:

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

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]

Answer:

.

Step-by-step explanation:

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:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

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:

180 degrees

Step-by-step explanation:

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:

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

firstable its not 45

its sin(-240)=sin(60)

sin(60)=√3/2

sin45=√2/2

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: y=93.62logx + 19.81

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

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

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.

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

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:

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:

Using the formula

A

=

π

r

2

Solving for

r

r

=

A

π

=

42

π

≈

3.65637

Answer:

rectangle, square and trapezoids can be classified as quadrilaterals

Answer:

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

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 :))

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:

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.