Equation of lines acellus pls help ofooehhenxkdoke

Step-by-step explanation:

everything can be found in the picture

Answer:

(a)[tex]e^{-0.000428 t}[/tex]

Step-by-step explanation:

We are given that

Half life of radium-226=1620 yr

The quantity left Q(t) after t years is given by

[tex]Q(t)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]

a. We have to convert the given function into an exponential function using base e.

[tex]Q(t)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]

=[tex]((\frac{1}{2})^t)^{\frac{1}{1620}[/tex]

=[tex]e^{ln(1/2) t/1620}[/tex]

[tex]=e^({\frac{ln(1/2)}{1620}t)[/tex]

=[tex]e^{-0.000428 t}[/tex]

(b)

[tex]Q(0)=e^{-0.000428 \times 0}[/tex]

=1

From original function

Q(0)=1

[tex]Q(1620)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]

[tex]Q(1620)=\frac{1}{2}=0.5[/tex]

From exponential function

[tex]Q(1620)=e^{-0.000428 \times 1620}[/tex]

[tex]=0.499\approx 0.5[/tex]

[tex]Q(3240)=(\frac{1}{2})^{\frac{3240}{1620})=0.25[/tex]

[tex]Q(3240)=e^{-0.000428 \times 3240}[/tex]

Q(3240)=0.249=[tex]\approx 0.25[/tex]

Hence, verified.

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

Explanation:

To factor this, we need to find two numbers that

Through trial and error, you would find that the two numbers are -2 and -7

-2*(-7) = 14

-2 + (-7) = -9

So that's why the given trinomial factors to (y-2)(y-7)

You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.

Answer:

Shelter from a tornado should be sought:

in any of the above

in a room in the center of the first floor

in a basement

under a staircase in the center of the house

Shelter from a tornado should be sought:

in any of the above

in a room in the center of the first floor

in a basement

under a staircase in the center of the house

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: $34

Hope this helps +

Answer: B (0,0) r=4

Step-by-step explanation:

Divide total distance of the race by the length each runner runs:

8 miles / 4/5

When dividing by a fraction flip the fraction over and multiply:

8 miles x 5/4 = (8x5)/4 = 40/4 = 10

There are 10 runners

Answer:

10 runners

Step-by-step explanation:

Is 8 Miles which equals to 40/5 miles. 40/5 miles divided by 4/5 = 10 so 10 runners.

Answer:

2a. 1/4

2b. 2/8

2c. yes, 1/4 = 2/8 because

2 / 8 = 2 ÷ 2 / 8 ÷ 2 = 1 / 4.

2d. the total number of parts doubled in the denominator, the number of parts represented in the numerator doubled as well.

The operations of division and multiplication are made proportionally to the numerator and denominator.

Step-by-step explanation:

the answer is already as simplified as it could be

Given:

Consider the below figure attached with this question.

To find:

The function that has the domain [tex]x\geq -11[/tex].

Solution:

We know that, a radical function is defined for only non negative radicand.

In option A, the function is defined if

[tex]x+11\geq 0[/tex]

[tex]x\geq -11[/tex]

The domain of this function is [tex]x\geq -11[/tex]. So, option A is correct.

In option B, the function is defined if

[tex]x-11\geq 0[/tex]

[tex]x\geq 11[/tex]

The domain of this function is [tex]x\geq 11[/tex]. So, option B is incorrect.

In option C and D, the function is defined if

[tex]x+5\geq 0[/tex]

[tex]x\geq -5[/tex]

The domains of these function are [tex]x\geq -5[/tex]. So, options C and D are incorrect.

Hence, option A is correct.

Answer:

A

Step-by-step explanation:

Answer:

2.3

Step-by-step explanation:

if you mean √2.3×√2.3 then the answer is 2.3 because √2.3×√2.3= (√2.3)² and that square cuts the square root and what remains is 2.3 which is the answer.

Answer:

n (2n-7) (2n+7)

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

[tex]\$32[/tex]

Step-by-step explanation:

Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:

[tex]\frac{1}{4}x=8[/tex]

Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:

[tex]x=8\cdot 4=\boxed{\$32}[/tex]

Answer:

a = 18

b = 3

hope it helps

have a nice day

Answer:

Step-by-step explanation:

Set this up as a ratio of proportions of petrol : oil

[tex]\frac{p}{o}[/tex] and if the ratio of the mix has to be 5p to 2 oil then:

[tex]\frac{p}{o}:\frac{5}{2}[/tex]  We need to find how much oil, x, is needed to mix with 10 liters of petrol. Completing the proportion with that ratio gives us the problem in its entirety:

[tex]\frac{p}{o}:\frac{5}{2}=\frac{10}{x}[/tex] and cross multiply

5x = 20 so

x = 4 liters of oil are needed to mix with 10 liters of petrol.

Answer:

the slopes are different, and the y-intercepts are also different

Step-by-step explanation:

We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b

Let's rewrite each equation:

✔️5x + 2y = 2

Subtract 5x from each side

2y = -5x + 2

Divide both sides by 2

y = -5x/2 + 2/2

y = -⁵/2(x) + 1

The slope (m) = -⁵/2

y-intercept (b) = 1

✔️3x - 3y = 18

Subtract 3x from each side

-3y = -3x + 18

Divide both sides by -3

y = -3x/-3 + 18/-3

y = x - 6

Slope (m) = 1

y-intercept (b) = -6

✅Therefore, the slopes are different and the y-intercepts are also different

Answer:

12 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = 12 cm

c = 17 cm

Step 2: Solve for b

Answer: The correct option is A.

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where,

d= distance

[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis

[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis

For the given points:

A(-4,3), B(2,5), C(3,2) and D(-3,0)

[tex]x_2=3\\x_1=-3\\y_2=2\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units[/tex]

[tex]x_2=-4\\x_1=-3\\y_2=3\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units[/tex]

To calculate the area of a reactangle, we use the equation:

[tex]Area=l\times b[/tex]         ....(1)

where,

l = length of the rectangle = CD = 6.32 units

b = breadth of the rectangle = AD = 3.16 units

Putting values in equation 1, we get:

[tex]Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}[/tex]

Hence, the correct option is A.

Answer:

The answer is A.

Step-by-step explanation:

I got it correct.

Answer:

4.2

Step-by-step explanation:

It would be 8/2 which gets 4 and put the .2 4.2

Length of the arc of each slice of cake is equals to 5.024inches.

" Length of the arc is defined as the distance between any two points as a part  of the circumference of the circle."

Formula used

Length of the arc =  radius × central angle of the arc

l = r × θ

According to the question,

Number of friends = 5

Diameter of the cake = 8inches

Shape of the cake is circular.

Therefore angle formed = 360°

Angle for each piece of cake = [tex]\frac{360}{5}[/tex]

                                                 = 72°

Radius of the cake = [tex]\frac{diameter }{2}[/tex]

                               = [tex]\frac{8}{2}[/tex]

                               = 4 inches

Substitute the value in the formula to get the length of the arc we get,

L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]

  = 5.024inches

Hence, length of the arc of each slice of cake is equals to 5.024inches.

Learn more about length of the arc here

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9514 1404 393

Answer:

  it depends on the accuracy and resolution required of the answer

Step-by-step explanation:

The shaded portion appears to be about half the length of the unshaded portion, suggesting the shaded amount is 1/3.

__

Using a pair of dividers, one could determine the number of times the shaded portion fits into the whole bar. Depending on how much is left over, the process could repeat to determine the approximate size of the remaining fraction relative to the bar or to the shaded portion. (Alternatively, one could replicate the length of the bar to see what integer number of shaded lengths fit into what integer number of whole lengths.)

One could measure the shaded part and the whole bar with a ruler, then determine the relative size of the shaded part by dividing the first measurement by the second. The finer the divisions on the ruler, the better the approximation will be.

Answer:

⅓

Step-by-step explanation:

I solved it in the picture above

Answer:

w = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation representing the situation is

3w + 7 = 8 ( subtract 7 from both sides )

w = 1 ( divide both sides by 3 )

w = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

The recursive formula that represents the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant value to the previous term.

This fixed value is called the common difference, and it is the same for all terms in the sequence.

We have,

The given sequence has a common difference of 4 between its consecutive terms.

To represent this sequence using a recursive formula, we can start with the first term and use the common difference of 4 to find each subsequent term.

Let's assume that the first term of the sequence is a1. Then, we can represent the second term [tex]a_2[/tex] as:

[tex]a_2 = a_1 + 4[/tex]

Similarly, we can represent the third term (a3) as:

[tex]a_3 = a_2 + 4[/tex]

Substituting the value of a2 from the above equation, we get:

[tex]a_3 = (a_1 + 4) + 4 = a_1 + 8[/tex]

We can continue this pattern to find the recursive formula for the nth term of the sequence:

[tex]a_n = a_{n-1} + 4[/tex]

where [tex]a_1[/tex]= 2

Thus,

The recursive formula for the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

Learn more about arithmetic sequence here:

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Answer:

a) 0.40

b) 0.10

c) 0.60

Step-by-step explanation:

Helena has 80% chance of getting A ,

                                                         [tex]P(A_H) = \frac{80}{100} = 0.80[/tex]  

Rodriquez has 50% chance of getting A ,

                                                         [tex]P(A_R) = \frac{50}{100} = 0.50[/tex]

a)

[tex]P(A_H A_R) = P(A_H) \times P(A_R) = 0.80 \times 0.50 = 0.40[/tex]

b)

[tex]Probability \ Helena \ will \ not \ get \ A\ , \ P(A_H^{'} ) = 1 - P(A_H) = 1 - 0.80 = 0.20[/tex]

Probability Rodriquez will get A and Helena will not

                                                           [tex]P(A_RA_H^{'})[/tex] = 0.50 x 0.20 = 0.10

c) Probability neither will obtain A = 1 - Probability both will get A

                                                    = 1 - 0.40

                                                    = 0.60

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

Answer:

C

Step-by-step explanation:

The sum of the measures of the three angles of a triangle is 180 degrees.

A

50 + 40 + 90 = 180    good

B

55 + 35 + 90 = 180     good

C

45 + 40 + 90 = 175    not good

Answer: C

Answer:

m = [tex]-\frac{8}{5}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{1--7}{-6--1}[/tex]

m = [tex]\frac{8}{-5}[/tex]

m = [tex]-\frac{8}{5}[/tex]

Answer:

[tex]{ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500[/tex]

Answer:

A

Step-by-step explanation:

That is the procedure above