See attachment below. Please answer. Thank you.

Answer:  A) 2.26

Step-by-step explanation:

[tex]log_3(12) = \dfrac{log(12)}{log(3)}=\dfrac{1.079}{0.477}=\large\boxed{2.26}[/tex]

Answer:

Part A) [tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]

Part B) The coordinates of the center are [tex](h,k)=(1,2)[/tex] and the radius is equal to [tex]r=3\ units[/tex]

Part C) The graph in the attached figure

Step-by-step explanation:

we have

[tex]x^{2} +y^{2}-2x-4y-4=0[/tex]

Part A) Convert to standard form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](x^{2}-2x) +(y^{2}-4y)=4[/tex]

Complete the square twice. Remember to balance the equation by adding the same constants to each side

[tex](x^{2}-2x+1) +(y^{2}-4y+4)=4+1+4[/tex]

[tex](x^{2}-2x+1) +(y^{2}-4y+4)=9[/tex]

Rewrite as perfect squares

[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex] ------> Is a circle

Part B) If this is a circle, state the coordinates of the center and give the radius.

we know that

The equation of the circle in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center

r is the radius

In this problem we have

[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]

therefore

The coordinates of the center are [tex](h,k)=(1,2)[/tex]

The radius is equal to [tex]r=3\ units[/tex]

Part C) Plot the circle

using a graphing tool

see the attached figure

Answer:

$140,000(1 - .05)^t

Step-by-step explanation:

you have your total amount $140,000

it is decreased by 5% go behind the number and move two decimal points and you get .05

since is decreasing it would be 1 subtracted by ,05

$140,000(1 - .05)^t

"t" is the years it would be depreciated by

I do not see years but by knowledge i would say it is decreasing

Answer:

Since, the exponential decay function,

[tex]A=P(1-r)^t[/tex]

Where,

P = initial value,

r = rate per period,

t = number of periods,

Here, P = $ 200,000, r = 5% = 0.05,

Thus, the value of the condominium would be,

[tex]A=200000(1-0.05)^t=200000(0.95)^t[/tex]

Which is the required equation.

If A < 140,000

[tex]200000(0.95)^t < 140000[/tex]

By the graphing calculator.

[tex]t< 6.95364[/tex]

Hence, about after 7 years the condominium will be worth less than $140,000.

Answer:

"The area covered by mold increases by 4 % every 15 minutes."

Step-by-step explanation:

Since the mold is "spreading", the area is obviously, increasing.

By how much???

We can look at the function. The increasing factor is (1.04). The increasing factor is the part OVER 1, we have 4 units OVER 1, so it is increasing by 4%.

Since, the mold is spreading every QUARTER OF AN HOUR, this means 1/4th of an hour.

An hour is 60 minutes, 1/4 of 60 = 15 minutes. Hence, it is increasing every 15 minutes.

To complete the statement:

The area covered by mold increases by 4 % every 15 minutes.

Answer:

i believe its every hour not 15 minutes

Step-by-step explanation:

Answer:

J is correct

Step-by-step explanation:

You need to simplify top as

[tex](27m^{12}n^3 )(2m^2n^5p)=54m^14n^8p[/tex]

Then can easily see the correct answer is J.

Answer:

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

You can see that the triangles are identical, so find the side that matches with BA and there you have it. The corresponding side is ED. I hope this helps!

To find the length of a side of a square fins the square root of the area.

Area = 200 cm^2

Side = √200

Side = 10√2 (Exact length)

or 14.142 cm's ( round the decimal answer as needed.)

It is 4 down the value so just do tens hundreds,thousands

Answer: 10,000

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The given expression is:

[tex]-\frac{2}{3}\div \frac{4}{6}[/tex]

We multiply by the reciprocal to get:

[tex]-\frac{2}{3}\times \frac{6}{4}[/tex]

We factor so that we can cancel easily:

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

Cancel the common factors to get:

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

This simplifies to:

[tex]-1[/tex]

Answer:The final answer is 1.

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

Dozen means a lot. If 3/4 cups of sugar is needed,  3/ multiplied by 2 = 1.5

Answer:

Step-by-step explanation:

-5(x + 7) < -10            use the distributive property a(b + c) = ab + ac

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10         add 35 to both sides

-5x < 25         change the signs

5x > - 25       divide both sides by 5

x > -5

-2^3 will be -8 (we know it certainly)

(-8)^-2 =( 1/(-8) )^2 then we know , when we have power 2 for parentheses,can ignore the negativity : 1/64 and we know 0<1/64<1

So 1 is correct!!

Answer:it is between 0 and 1

Step-by-step explanation:

Answer:

The area of the circle is [tex]9\pi \ units^{2}[/tex]

Step-by-step explanation:

we know that

A circle has a sector with area [tex]3\pi/2[/tex]  and central angle of 60 degrees

The area of a complete circle subtends a central angle of [tex]360\°[/tex]

so

using proportion

Find the area of the circle

[tex]\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}[/tex]

Answer:

[tex]A = 9\pi[/tex]

Step-by-step explanation:

The total area of the circle is determine by simple rule of three:

[tex]A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)[/tex]

[tex]A = 9\pi[/tex]

Answer:

The values of x are -4 and 8

Step-by-step explanation:

39=6|x-2|+3  move the 39 and 6 to the opposite sides and simplify

-6|x-2|=-36   divide both side by -6  

|x-2|=6          separate it into the possible equations

x-2=6  so, x=8

or

x-2=-6  so, x=-4

Answer:

3/4

Step-by-step explanation:

So you give them all a common denominator of 8. This means Maria eats 2/8 of the pizza, Kara eats 1/8 of the pizza, and Tommy eats 3/8 of the pizza. When you add them you get 6/8 which simplified to 3/4.

Answer:

OR

Step-by-step explanation:

Answer:

Step-by-step explanation:

In simple language, two things are said to be congruent if they overlap each other i.e they have same size and shape. Angles are said to be congruent if they have same measure. Sides are congruent if they have same length .

We say that two triangles are said to be congruent if there is one to one correspondence between their angles and side.

Here, it's given that BCDE is congruent to OPQR i.e there is one to one correspondence between their sides and angles i.e

[tex]B\leftrightarrow O\,,\,C\leftrightarrow P\,,\,D\leftrightarrow Q\,,\,E \leftrightarrow R[/tex]

So, BE is congruent to  OR .

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

Answer:

  see attachment

Step-by-step explanation:

The applicable property of exponents is ...

[tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]

The 4th selection uses this property directly. The 3rd selection uses the property

[tex](a^b)^c=a^{bc}[/tex]

to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.

Answer:

False

Step-by-step explanation:

Set the data in order.

1, 2, 4, 6, 7, 8, 9, 9, 9

Now try finding the middle of the data set by taking out the sides equally one by one.

1, 2, 4, 6, 7, 8, 9, 9, 9

  2, 4, 6, 7, 8, 9, 9

      4, 6, 7, 8, 9

          6, 7, 8

              7

7 is the median

The median of the data set [1, 2, 6, 7, 8, 9.4, 9.9, 9.9] is not 9.4, but instead is 7.5, which is calculated by getting the average of the two middle values, in this case, 7 and 8.

The given set of data is: [9.4, 9.9, 9.9, 8, 7, 6, 1, 2]. The first step is to put the data in numerical order, so we have [1, 2, 6, 7, 8, 9.4, 9.9, 9.9]. The median is the middle value in an ordered data set. Since this set has an even number of data values (8), the median is calculated as the average of the two middle values. Here, the middle values are 7 and 8. Therefore, to find the median, we add these two values together and divide by 2. Hence, 7 + 8 = 15, and 15 divided by 2 equals 7.5. Therefore, the median of this data set is 7.5, not 9.4.

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Here is the answer I hope it helps

Yes because if you add forty and thirty that equals seventy plus twenty is 90 which is a right angle

Answer:

No

Step-by-step explanation:

It would not form a right triangle because if you square 20, 30, 40, and add 20^2 and 30^2 it would become 1,300, but 40^2 is 1,600 which does not make it a right triangle according to the Pythagorean Theorem.

The equation to calculate the remaining money on Joan's gym gift card after d gym visits is m = 100 - 12d.

To determine the amount of money (m), in dollars, remaining on Joan's gym gift card after she visits the gym d times, you can use a simple linear equation.

Since she starts with $100 on the card, and each gym visit costs $12, you subtract $12 for each visit from the initial amount. The equation that represents this situation is m = 100 - 12d.

Here, d is the number of times she visits the gym, and m is the money remaining on the card.

Answer:

x = 1, y = -3

Step-by-step explanation:

So, we have two equations to start with: 3x-y=6 and y = x-4, we want to resolve the equations by addition.

We sum up the left sides of the equations together and the right sides together, and simplify, we have:

3x - y + y = 6 + x - 4

3x = 2 + x ==> 2x = 2 ==> x = 1

To find y, we place the value of x in any of the two equations:

y = x - 4 = 1 - 4 = -3

You verify that the solution is valid by entering the values of x and y in the other equation:

3x - y = 6 becomes

3 (1) - (-3) = 6

3 + 3 = 6

Answer:

x = 1 and y = -3

Step-by-step explanation:

The given linear equations are,

3x - y = 6 and y = x - 4

To solve the system of equations

Let 3x - y = 6   -----(1)

y = x - 4

x - y = 4  ----(2)

(2) * -3 ⇒ -3x  + 3y = -4   ----(3)

(2) + (3) ⇒

3x - y = 6  

-3x  + 3y = -12

0   +2y = -6

y = -6/2 = -3

x - y = 4  

x = 4 + y = 4 + -3 = 1

x = 1 and y = -3

Answer:

x² + (y - 4)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (0, 4) and r = 5, hence

x² + (y - 4)² = 25 ← in standard form

After substituting x=2 into the expression |x+3|, we get |2+3| which simplifies directly to 5, with the absolute value being unnecessary since the result is positive.

To simplify the expression |x+3| without the absolute value when x=2, we substitute the value of x into the expression. The absolute value of a number refers to the non-negative value of that number without considering its sign. Since 2 + 3 equals 5, which is positive, the absolute value is not necessary, and we can simply write the expression without it.

Therefore, |2 + 3| simplifies to 5.

Answer: 43.3 inches.

Step-by-step explanation:

According to the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse, and "b" and "c" are the legs of the right triangle.

Let be "c" the width of the television.

We can indentify in the figure that:

[tex]a=50in\\b=25in[/tex]

Then, we can substitute values and solve for "c":

[tex](50in)^2=(25in)^2+c^2\\\\c=\sqrt{(50in)^2-(25in)^2}\\\\c=43.30in[/tex]

Rounded to the nearest tenth:

[tex]c=43.3in[/tex]

Final answer:

The width of a flat screen television with a 50 inch diagonal and a 25 inch height is found to be approximately 43.3 inches when calculated using the Pythagorean Theorem.

Explanation:

To find the width of a flat screen television with a 50 inch diagonal and a height of 25 inches, we will apply the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the diagonal is the hypotenuse (c), the height is one leg (a), and the width is the other leg (b).

The Pythagorean Theorem is written as:

a2 + b2 = c2

Using the given measurements:

252 + b2 = 502

Solving for b, we have:

b2 = 502 - 252

b2 = 2500 - 625

b2 = 1875

b = √1875

b ≈ 43.3 inches (rounded to the nearest tenth)

Therefore, the width of the television is approximately 43.3 inches.

Answer:

The answer is 121.50

Step-by-step explanation:

Multiple 6 by the 20 first so you get 120

Then multiply 6 by the .25 and you get 1.5

So just add 120 with 1.5 and you get 121.50

Answer:

121.5

Step-by-step explanation:

Bad at explaining look at picture.

Answer:

B. 79.7 units^2

Step-by-step explanation:

got it right on edge :)

Answer:

The flowers costed $26 but that is only if he bought 1 snack. It says snacks as in more than one but it didn't specify how many so it depends lol

Step-by-step explanation:

Answer:

1) 620- 37.4p≤450

2) 5

Step-by-step explanation:

Total weight of rena and packages = 620 kg

lift limitation= 450 kg

mass of each load= 37.4 kgs

As the mass limit for the elevator is 450 kg therefore the from the Total weight of rena and packages (620 kgs) rena needs to subtract weight of some number of packages (p x 37.4)

hence

620- 37.4p≤450

2)

Solving for minimum whole number of packages p, rena needs to remove to meet the elevator limitation:

620- 37.4p≤450

37.4p≤-450+620

37.4p≥170

p≥4.5

rounding off to whole number

p≥5 !