Find the measures of angles 1 through 6.

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &75\\ P=\textit{initial amount}\dotfill &2400\\ t=seconds\\ h=\textit{half-life}\dotfill &13.8 \end{cases} \\\\\\ 75=2400\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{75}{2400}=\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{1}{32}=\left( \frac{1}{2} \right)^{\frac{1}{13.8} t}[/tex]

[tex]\log\left( \cfrac{1}{32} \right)=\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8} t} \right]\implies \log\left( \cfrac{1}{32} \right)=t\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right] \\\\\\ \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right]}=t\implies \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \sqrt[13.8]{\frac{1}{2}} \ \right]}=t\implies 69\approx t[/tex]

Answer: 15.

Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying.  Before we use rise/run, we need two points on the line.  We'll use (2, 80), and (6, 140).  We need to go 60 up and 4 to the right to make the points meet.  Going up or down is the rise and left or right is the run.  Our rise/run is 60/4 or 15 when you divide.  Therefore, 15 is your slope for this equation of a line.

Have a great day! :)

Answer:

Step-by-step explanation:

So what you want to know is what are the odds of drawing 4 5 6 out of 13.

P(4 5 6) = 3/13

Odds are a little bit different. You are still getting some idea of how likely an event is.

The formula is  Probabity / ( 1 - Probability)

So The probability = 3/13

1 - probability = 1 - 3/13 = 10/13

probability / (1 - probability ) = 3/13 // 10/13 = 3/13 * 13/10 = 3 / 10 or 3 chances in 10.

I think Probability is more intuitively correct.

Answer:

3/13

Step-by-step explanation:

Answer:

-y-1

Step-by-step explanation:

Answer:

She needs 40.4 feet of wood.

Step-by-step explanation:

➾ She had 8 pieces of wood that are 6.2 feet each, so total length of wood she had = 8×6.2

= 49.6feet.

➾She needs total 90feet. of wood and she had already 49.6 feet of wood.

So, now wood she needed = 90-49.6

= 40.4feet.

____________________________

Hope it helps you:)

Answer:

She needs 40.4 feet of wood

Step-by-step explanation:

Given :-

To find:-

Solution:-

Amount of wood she needs more :-

Wood she wanted to complete project — Wood she already have

by putting the value ,

90 feet — 8 × 6.2 feet

= 40.4 feet

★ Given that,

★ To calculate,

So here we would be using the formula of calculating the midpoint of two points.

Midpoint of two points:-

★ We have :

★ Putting the values :

★ Therefore,

★ Centroid of a triangle :-

★ Distance Formula :-

Answer:

Area of square: 9/16 m²

Step-by-step explanation:

We are given:

The area of the square is the side multiplied by the same side. Therefore,

Using the exponents property, [(a/b)² = (a²/b²)]:

Therefore, the area of the square is 9/16 m².

Answer:

[tex]\huge\boxed{\bf{Area_{square} = \frac{9}{16}m^2}}[/tex]

Step-by-step explanation:

Given : -

To Find : -

Ans : -

$\sf \to Area_{square} = (side\:length)^2$

$\sf \to Area_{square} = (\frac{3}{4}m)^2$

$\sf \to Area_{square} = (\frac{3}{4}m*\frac{3}{4})$

$\sf \to Area_{square} = (\frac{3*3}{4*4}m^2)$

$\sf \to Area_{square} = \frac{9}{16}m^2$

[tex]\:[/tex]

$\huge\colorbox{skyblue}{BlackPain}$

Answer:

  b.  1.2599

Step-by-step explanation:

The ratio of the two frequencies is found by dividing the first by the second.

__

  (Freq of E)/(Freq of C) = 329.6/261.6 = 1.2599

Answer:10 bucks

Step-by-step explanation:

have a good day

Answer:

see explanation

Step-by-step explanation:

(3)

Parallel lines have equal slopes

the equation of a line in sloipe- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]

y = 4x + 5 ⇒ m = 4

y = - 4x + 5 ⇒ m = - 4

y = - 4x - 9 ⇒ m = - 4

the 3rd and 4th options have equal slopes and are parallel

(4)

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]

y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]

y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]

y = 6x + 3 ⇒ m = 6

note that a slope of m = 6 , has a perpendicular slope of

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]

the 2nd and 4th lines are perpendicular

Answer:

who is William afton family?

Answer:

48

Step-by-step explanation:

180 is the whole thing

So add 25 and 107 to make 132, then 180-132

Answer:

C) [tex]6r^2-9r-6[/tex]

Step-by-step explanation:

Open the parentheses, you get:

[tex]-3r^2-2r-4+9r^2-7r-2[/tex]

Then combine like terms:

[tex]-3r^2+9r^2=6r^2\\-2r-7r=-9r\\-4-2=-6\\[/tex]

Then right as a polynomial:

[tex]6r^2-9r-6[/tex]

So the answer would be C)

Answer:

6r² - 9r - 6

Step-by-step explanation:

(-3r² - 2r - 4) - (-9r² + 7r + 2)

Multiply to remove the parenthesis:

(-3r² - 2r - 4) - (-9r² + 7r + 2)

1(-3r² - 2r - 4) - 1(-9r² + 7r + 2)

1(-3r²) +1(-2r) + 1(-4) + -1(-9r²) + -1(7r) + -1(2) <== remember that multiplying 2 negatives, makes a positive

-3r² - 2r - 4 + 9r² - 7r - 2

Combine any like terms:

-3r² - 2r - 4 + 9r² - 7r - 2

6r² - 9r - 6 <== make sure that your answer is in Standard form (in decreasing degrees)

Hope this helps!

x1 = 9, x2 = 3

y1 = -1, y2 = 3

[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]

Answer:

1 page in 4 sec.

Step-by-step explanation:

To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.

14/56 = 1/4 in simplest terms.

This means the rate is 1 page in 4 seconds.

Answer:

Blue wins

Step-by-step explanation:

Blue runner   4280 ft / 10 ft/sec = 428 sec to finish

Red                5280 / 12 =    440 sec     Blue will win

The quotient of the expression in form of a + bi is 9/13 - 20/13i

Given the following expressions

1+6i/-3+2i

Rationalizing the given rational complex number, we will have;

= 1+6i/-3+2i * -3-2i/-3-2i

= (1+6i)(-3-2i)/9+4
= -3-2i-18i-12i²/13

Simplify the result to have:

= -3+12-20i/13
= 9-20i/13

Express in the form a + bi

9/13 - 20/13i

Hence the quotient of the expression in form of a + bi is 9/13 - 20/13i

Learn more on complex number here: https://brainly.com/question/10662770

Answer:

[tex] \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3}{11} \times \frac{4}{9} [/tex]

[tex] \frac{12}{108} [/tex]

[tex] \frac{1}{9} [/tex]

The fraction illustrates that there are 6 red tables.

Fron the information, Julia helps the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red.

Therefore, the numbers that are red will be:

= Fraction of red × Total number

= 3/4 × 8

= 6

Therefore there are 6 red tables.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

13

Step-by-step explanation:

[tex]\text{determinant of A} =\begin{vmatrix}4&-7\\ 3&-2\end{vmatrix}[/tex]

[tex]\text{determinant of A} =\left( 4\times \left( -2\right) \right) -\left( 3\times \left( -7\right) \right)[/tex]

[tex]\text{determinant of A} =-8+21=13[/tex]

Answer:

Parallel lines never intersect. Perpendicular lines are lines that intersect.

Step-by-step explanation:

Hope this helps.

Answer:

Perpendicular lines meet at a 90 degree angle while parallel lines will never touch

Step-by-step explanation:

When you divide by a fraction, flip the second fraction over and change divide to multiply:

17/10 / 11/4 = 17/10 x 4/11

Now multiply straight across:

(17 x 4) / (10 x 11) = 68/110

Simplify:

68/110 = 34/55

Answer: 34/55

[tex]\cfrac{42}{70}~~ = ~~\cfrac{u}{55}\implies \cfrac{(14)3}{(14)5}~~ = ~~\cfrac{u}{55}\implies \cfrac{3}{5}=\cfrac{u}{55}\implies \cfrac{3(55)}{5}=u \\\\\\ 3\cdot \cfrac{55}{5}=u \implies 3\cdot 11=u\implies 33=u[/tex]

Answer:

39

Step-by-step explanation:

all angles of a triangle equal to 180, so you just have to subtract those two known angles from 180, and you will get the answer.

Find the value of angle x .

The concept of this question belongs to angles of triangle . We know that the sum of all the three angles of triangle is 180°.

As we know that all the angles of triangle is equal to 180° . So :

Therefore , angle x is of 39° .

Answer: D

Step-by-step explanation:

Adjacent sides of a rectangle are perpendicular. This means that the measure of angle HEF is 90 degrees.

Step-by-step explanation:

28.4 g there are 110 calories

1 g there are 110/28.4 = 3.87 calories

39.76 g there are 3.87 × 39.76 = 153.87

Answer:

The answer is (-4) and (-7).

Step-by-step explanation:

Now, for common difference (d)

d = a₂ – a₁ = 2 – 5 = -3

d = a₃ – a₂ = (-1) – 2 = -3

Here, common difference is same everywhere.

So, for fourth term or n = 4

aₙ = a + (n – 1) × d

a₄ = 5 + (4 – 1) × (-3)

a₄ = 5 + 3 × (-3)

a₄ = 5 – 9

a₄ = -4

Then, for fifth term or n = 5

a₅ = 5 + (5 – 1) × (-3)

a₅ = 5 + 4 × (-3)

a₅ = 5 – 12

a₅ = -7

Thus, The fourth term is (-4) and fifth term is (-7).

Answer:

1. The wind has blown all the leaves off the tree.

2. All the leaves have fallen to the ground.

3. My kite is being flown in the wind.

4. A shower of acorns have fallen from the sky

5. A busy squirrel dug for his acorns.

6. In the garden, pumpkins have grown.

7. Yesterday my friend and I rode to the park.

8. We have rode to the skate park.

9. My brother wrote me a letter.

10. He has written a essay.

11. Our neighbor had given us a pie.

12. Mom and Dad have spoken to me about cleaning my room.

Step-by-step explanation: