In the figure, AC is perpendicular to DB.

Which of the following statements is TRUE?​

Answer:

Two Integers

Step-by-step explanation:

Answer: log(x+4) + log(x)=log(x+4)

Group like terms

log(x+4)-log(x+4)=-log(x)

Log((x+4)/(x+4))=-log(x)

log(1)= -log(x)

log(1)=0

=> 0=log(x)

x=10^0

x=1

Step-by-step explanation:

Before one can solve log questions, he/she must know the laws.

Put x= 1 in to the main equation to test your answer

Log(5) +log(1)=log(5)

log (1) is 0

log(5)=log(5)

Answer:

The first choice

Step-by-step explanation:

Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.

Answer:

option 1 or A

Step-by-step explanation:

it is the definition of perpendicular lines

Answer:

3, 8, 13, 18

Step-by-step explanation:

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

  = 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

Given:

The Benjamin's distance from City A, t hours after leaving his house is

[tex]D=260-65t[/tex]

To find:

The slope of the equation and what is its interpretation in the context of the problem?

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m (coefficient of variable x) is slope and b is y-intercept.

We have, the equation

[tex]D=260-65t[/tex]

It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.

It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.

Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.

Answer:

The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.

Step-by-step explanation:

The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.

Have a good day :)

Answer:

the answer is your first choice

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

A. Choice 2

B. Choice 1

C. Choice 2

D. Choice 1

Step-by-step explanation:

So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.

A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2

B. In the equation you can tell that every time you will be adding 16, so choice 1

C. Since it's being multiplied by 0.75 each time, it's choice 2

D. Every time y grows by 12, so it's choice 1.

Step-by-step explanation:

1book valume = 25cm×20cm×2cm=1000cm³

a packet valume = 6×1000cm³ = 6000cm³

Answer:

216000 cm3

Step-by-step explanation:

length of packet = 6 × 25 cm = 150 cm

breadth of packet = 6 ×20 cm = 120 cm

height of packet = 6 × 2 cm = 12 cm

Now,

volume of packet = l×b×h = 150 cm × 120 cm × 12 cm

= 216000 cm3

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

Answer: C

Step-by-step explanation: Trust me on this ok?

Answer:

used bedmas

Step-by-step explanation:

=(22)x49+6

= 1070+6

=1076

Answer:

270.5

Step-by-step explanation:

*sigh* here we go again ok

separate it into a rectangle and semicircle

12*16=192

circle is pi(r)^2/2   so

5^2=25

25*3.14=78.5

78.5+192=270.5

Answer:

14 packages.

Step-by-step explanation:

The total number of balloons needed is 3 * 220 = 660 balloons

To find the number of packages

660 / 50 = 13 with a remainder of 10.

Normally, you would round down, but not with this question. You need to buy a whole package to get the 10 left over balloons.

The answer is 14 packages.

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

thanks for ask question.

Answer:

D

Step-by-step explanation:

It must be D  because first of all you need the 1.01 because its a 1 percent increase and because when you write out what it would be for lets say 3 years it would be (310*1.01)*1.01)*1.01 so if we drop the parentheses because this is all multiplication you would have 310*1.01^3 which would be 3=t

Answer:

the pollen grain deposited were initially estimated at 310 with a annual increase rate of 1%

thus, there is an increase by 1.01 every year

for the first year after the year the grains were deposited there will be an increase of 310 (1.01)

similarly the following year will have an increase of 310(1.01)

(1.01) or 310(1.01)2-this 2 is a square

also the third, fourth, fifth....year will have an increase of 310(1.01)3-this 3 is a square, 310(1.01)4-this four is a square, 310(1.01)5-also this five is a square

respectively and thus, t years, there will be an increase of 310(1.01)t

ans:D

Note I did not did this I received help

Answer:

-8/3

Step-by-step explanation:

-8/3

you count up from when the line intercepts a secure point that would be 8

then 3 over

its negative because it points down on the right

Answer:

its c 48.08 im pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Conjugate of z is:

Product zz' is:

If ,

[tex]\bold{z=-3+5i }[/tex]

so,conjugate of z

[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]

Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.

so,

According to the question,

z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)

[tex]\bold{(-3)^2-(5i)^2 }[/tex]

[tex]\bold{9-25(-1) }[/tex]

[tex]\bold{ 9+25 }[/tex]

[tex]\bold{ 34 }[/tex]

Answer:

15cm

Step-by-step explanation:

180/12=15

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

Answer:

The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"

Step-by-step explanation:

Please find the complete question in the attachment file.

The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]

In the question if:

[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]  

apply the value in the volume formula:

[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]

   [tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]

Answer:

option C). 1/3^2(n − 1) units3

Step-by-step explanation:

just took test

Answer:

133.33%

Step-by-step explanation:

you can find this by doing 24/18x100, which is equal to 133.33

Answer:

133%

Step-by-step explanation:

We're going to divide [tex]\frac{24}{18}[/tex].

That equals about 1.33 repeating.

Next, we're multiplying that decimal by 100.

That gets us 133.

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

The 4th term: 37.5, 18.75,

So we get the 10th term: 0.58