In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE.

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The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the amount of bacteria after x hours. Hence:

y = 100(8)ˣ

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

its c third graph

Step-by-step explanation:

right on edge

Answer: b = √6

Step-by-step explanation: Use the Pythagorean Theorem to solve this.

a² + b² = c²

Plug in your values:

2√3² + b² = 2b²

When a square root is squared, the square root is cancelled out so you will be left with this:

2(3) + b² = 2b²

Subtract b² from both sides so you’re left with:

6 = b²

Now, to get rid of the square, just square root both sides:

√6 = √b²

Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:

b = √6

Answer:

the answer:b is equivalent to 2

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

Step-by-step explanation:

2 inches = 3 feet

x inches = 12 feet

[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]

Answer:

[tex] \bf \boxed {x=8} [/tex]

Step py step explanation:

2 inces ........ 3 feet

x inces ......... 12 feet

⇒ x = 12 • 2 /3

x = 24/3

x = 8

______

Answer:

The green line is LM

The red line is JM

The blue point is at the coordinates (2/3, -14/3)

Step-by-step explanation:

Answer:

570,000,000 is the answer hope this helps ^^

Step-by-step explanation:

Answer:

6,207.3

Step-by-step explanation:

=> 5.7 x 1089

multiply 1089 by 5.{=[tex]6,207.3[/tex]

Answer:

14

Step-by-step explanation:

The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.

So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]

[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]

Answer:

1. $180

$43,187

$23,187

2. $335

$100,703

$60,703

3. $341

$81,798

$41,798

Answer:

x = 8

Step-by-step explanation:

5(x-2)=30

Distribute

5x- 10 = 30

Add 10 to each side

5x-10+10 = 30+10

5x= 40

Divide by 5

5x/5=40/5

x = 8

Answer:

x=

Step-by-step explanation:

using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10

5(x-2)=30

5x-10=30

5x=40

x=8

Answer:

8 in

Step-by-step explanation:

[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]

Answer:

10 eggs per chicken

Step-by-step explanation:

if you divide you get 10 eggs per

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

Answer:

3) D

5) C

3) 6m+5n-m --> 6(5)+5(3)-(5)

                          30+15-5 --> 45-5 --> 40

5) 4(x+4)+2

   4x + 16 +2

   4x +18

Answer:

3)

Given:

m = 5

n = 3

We plug in these values into our equation (6m + 5n - m);

6m + 5n - m

Now modified, would be:

6(5) + 5(3) - 5

30 + 15 - 5

45 - 5

= 40

5)

If we simplify this expression,

4(x + 4) + 2

We use the distributive property to multiply 4 to both x and 4 which are in the brackets.

Which will now be;

4x + 16 + 2

Now we combine like terms (our constants):

(16 + 2) = 18

So it would be, now:-

4x + 18, C is your answer.

Answer:

B. Smaller

Step-by-step explanation:

This is because absolute value doesn't matter about negative or positive

Answer:

False

Step-by-step explanation:

[tex]36 \times 8 = 304[/tex]

[tex]304 \div 12 = 25.333[/tex]

[tex]25.323=25.333[/tex]

Hence, the equation is false.

[tex]7x(x^2-5)[/tex]

Step-by-step explanation:

[tex]7x^3-35x[/tex]

Factor Greatest Common Factors out

[tex]7x(x^2-5)[/tex]

I hope this helps you

:)

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 0.8 \ pounds[/tex]

    The standard deviation is  [tex]\sigma = 0.25 \ pounds[/tex]

Generally the the probability that a  randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as

       [tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]

=>    [tex]P(0.55 <  X  <  1.3)  =  P( -1 <  Z  <  2 )[/tex]

So looking the option of normal curves given in the question we see that it is option A that matches our interval  

Step-by-step explanation:

5 tablespoons = 2 cups milk

1 tablespoon = 2/5 cups milk

40 tablespoons = 2/5 × 40 = 16 cups milk

Answer:

your answer would be 2035.75ft³

Answer:

[tex]\mathsf{slope=-\dfrac25}[/tex]

Step-by-step explanation:

[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]

[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]

Answer:

-2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5

Answer:

153.86 units^2

Step-by-step explanation:

the area of a circle = pi * r^2

To find r, divide the diameter in half.

14/2 = 7

Now, area = pi * 7^2

= pi * 49

= 153.86

hope this helps!

Answer:

153.94 square units

Step-by-step explanation:

d=14 units

r=d/2

=14/2

=7 units

Area of a circle=math.pi x r^2

=3.14 x (7)^2

Answer:

B -8

Step-by-step explanation:

Answer:

The answer is B. 8

Step-by-step explanation:

Hope this helps :)

Answer:

One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1/8 of 16 is 2

1/4 of 16 is 4

2+4=6

16-6=10