Frankie wants to build a garden with a central walkway. The walkway measures 2 feet by 8 feet and he wants the garden to have the same width all around the walkway. Because of the size of the backyard, Frankie wants the total area of the garden with its walk way to be greater than 100 square feet.
Which inequality represents the combined area of the garden and walkway?

A: (2w+2) (w+8) < 100
B: (w+2) (w+8) < 100
C: (2w+2) (w+8) > 100
D: (w+2) (2w+8) < 100

PLEASE HELP ME!!

The substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an exponential function:

\(\rm N = N_oe^{-kt}\)

Plug N = N⁰/2

\(\rm N_o/2 = N_oe^{-kt}\)

\(\rm \dfrac{1}{2} = e^{-0.15t}\)

Solving for t:

t = 4.62≈ 4.7 days

Thus, the substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15

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That is a true statement

Step-by-step explanation:

true................

The values of M and B are the slope and y-intercept of the linear equation on graph A.

We will see that the slope is 2 and the y-intercept is 1.

I assume that with "M and B" you refer to the slope and y-intercept of the line on the graph surrounded by a blue line, which is the first one.

Where this is a linear equation, and we know that a linear equation is written as:

y = m*x + b

The value of b is the value that y takes when the line intercepts the y-axis.

On graph A we can see that the line intercepts the y-axis at the value:

y = 1

Then b = 1.

So the linear equation is something like:

y = m*x + 1

To find the value of m we can identify other point on the graph, we can see that the line passes through (1, 3), replacing these values on the linear equation we get:

3 = m*1 + 1

3 = m + 1

3 - 1  =m

2 = m

Then the linear equation on graph A is:

y  = 2x + 1

The value of M is 2 and the value of B is 1

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Answer:

nope ummm a negative number times another negative is positive. whats your question tho?

Answer:

sometimes

Step-by-step explanation:

Answer:

Yes! All the time!

Step-by-step explanation:

The average of the 3 points A, B, and C is 1/3

We know that for a set of N values {x₁, x₂, ..., xₙ} the average is:

Average = (x₁ + ... + xₙ)/N

Assuming that all the weights are 1.

Here the values (y values) for the 3 points are:

A = -9

B = 2

C = 8

The average of these 3 points is:

average = (-9 + 2 + 8)/3

average = 1/3

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Answer:

(-1,5)

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if m is the midpoint of these points, then coordinate of mid point  is given by

(x1+x2)/2,  (y1+y2)/ 2

________________________________

Given point

B= (-5,1)

M = (-3,3)

we have to find point A, let it be (x,y

using the above formula , midpoint m is

-3= (-5+x)/ 2                    3=  (1+y)/ 2

-3*2= -5+x                           6= 1 +y

-6 +5 = x                             6-1 =y

x = -1                                    y = 5

Thus, the coordinates of point A is(-1,5).

Gabriella's average speed was 66 mph.

Let's call Gabriella's average speed "s". We can set up two equations based on the information given:

Equation 1: d = rt

440 = s * t

Equation 2: d = rt

380 = (s - 9) * t

We want to solve for "s", so we need to eliminate "t" from these equations. We can do this by solving Equation 1 for "t":

t = 440 / s

And we can solve Equation 2 for "t" as well:

t = 380 / (s - 9)

Now we can set these equal to each other, since they both represent the same amount of time:

440 / s = 380 / (s - 9)

To solve for "s", we can cross-multiply and simplify:

440(s - 9) = 380s

440s - 3960 = 380s

60s = 3960

s = 66

Therefore, Gabriella's average speed was 66 mph.

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The slope of the line segment AB will change from -3 to 1/3 after a 270 degree rotation of the line segment

information gotten from the question include

Points A' and B' are the images of points A and B after a 270 rotation

the slope of line segment AB is -3

Rotation is one of the movements that is under transformation it involves a movement about an axis.

With respect to the problem here, the axis of the rotation is the origin of the coordinates

The rotation will lead to formation of an image A'B' which is perpendicular to the preimage

The relationship between two slopes that are perpendicular to each other is

slope of line, m = -1/slope of the perpendicular line, m'

m' = -1/m

m' = -1/3

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The interest rate of the account is 3.6%.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Jaedin places $12,000 in a savings account with yearly compound interest.

The account after three years is worth $13,343.22.

Therefore,

P = $12,000

A = $13,343.22

x = 3 years

n = 1 as the interest is compounded annually.

A = P( 1 + r/n )ⁿˣ where P is the principal amount, A is the final amount, n is the number of times compounded annually and x is the total number of years.

Therefore,

13,343.22 = 12000 × ( 1 + r/1 )³

( 1 + r )³ = 1.111935

1 + r = ∛1.111935

1 + r = 1.03600011

r = 1.03600011 - 1

r = 0.03600011

Therefore, the interest rate is 3.6%.

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An ellipse's form is determined by two locations inside the ellipse known as its foci.

The lengths of the main and minor axes of an ellipse may be used to calculate its foci.

The foci of an ellipse may be calculated using a variety of online calculators.

These calculators normally ask the user to enter the main and minor ellipse axes' lengths before calculating the foci's coordinates. Depending on the calculator in question, some may additionally ask for more details like the ellipse's eccentricity or center of rotation.

Understanding an ellipse's shape and characteristics requires knowing its foci since they are what characterize an ellipse.

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Answer:

D

Step-by-step explanation:

i multiplied the first equation by 60 to eliminate the fractions: 30x - 45y = 11

i multiplied the second equation by 30 to eliminate the fractions: 12x + 5y = 9

I graphed them and (2/3, 1/5) is the intersection of both lines

The area of the original garden is 7200 square feet.

Given,

a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet.

we are asked to determine the area of the original garden = ?

let the width be x

and the length be 2x

area of the square = 3600 sq feet

Perimeter of the rectangle = 2(l+b)

⇒ 2(2x+x)

⇒ 2(3x)=6x

area of square = a²

a² = 3600

a = √3600

a = 60

now we get the width = 60

length = 2(60)

= 120

Now calculate the area of the rectangle:

= l×b

= 60 × 120

= 7200

hence we get the area as 7200 square feet.

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Answer:C

Step-by-step explanation:

Answer:

Jeremy drove 240 miles in 5 hours

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of all these items is 19,607.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

There are seven houses, each containing seven cats.

Each cat kills seven mice.

Each mouse would have eaten seven ears of corn.

Each ear of corn would have produced seven sacks of grain.

Now, the total number of all these items is,

Total number of items

= Number of house + Number of cars + Number of mice + Number of ears of corns + Number of sack of grains

= 7 + 49 + 343 + 2401 + 16807

= 19,607

Hence, the total number of all these items is 19,607.

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Solution:

Step-1: Find the slope of the line.

Formula: Rise/Run = y₂ - y₁/x₂ - x₁

Step-2: Find the y-intercept of the line.

The y-intercept of the line is the point that intersects the y-axis.

Step-3: Create the equation.

Answer:

40 dogs

Step-by-step explanation:

Since for every 1 cat there are 5 dogs

You can multiply 8 by 5 to get 40

Answer:

40 dogs

Step-by-step explanation:

if the ratio is 1:5 and the cats are 8, that means the number of dogs in the hous is 5 times larger than the cats. 8*5=40

There are 40 dogs in the house.

Hope this helps!

:)

Answer:

10 13/16

Step-by-step explanation:

Answer:

container A

Step-by-step explanation:

In Container A, we can plot the points (0,60) adn (2, 35)

The slope is :

\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)

For container B, the slope is:

\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)

The negative sign of the slope indicates the direction of the slope

\(|m_A| = 12.5\\\\|m_B| = 11\)

12.5 > 11

The slope of container A is steeper than container B

Therefore, the water is draining out of container A at a faster rate than container B

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A. (1,-3)

Answer:yes

Step-by-step explanation:

It’s the answe yes

Answer:

⦿   \( x = -2w + 6 \)

Step-by-step explanation:

\( x - \dfrac{5}{2}w + 14 = 3x + \dfrac{6}{4}w + 2 \)

\( x - \dfrac{5}{2}w + 14 = 3x + \dfrac{3}{2}w + 2 \)

\( -2x - \dfrac{5}{2}w = \dfrac{3}{2}w - 12 \)

\( -2x = \dfrac{8}{2}w - 12 \)

\( -2x = 4w - 12 \)

\( x = -2w + 6 \)

To prove that ΔEFG ≅ ΔE'F'G' using the Angle-Angle-Side (AAS) congruence criterion, we need additional information. The AAS criterion states that if two angles of one triangle are congruent to two angles of another triangle, and the included sides between these angles are congruent, then the triangles are congruent.

To prove ΔEFG ≅ ΔE'F'G' using AAS, we need the following additional information:

1. Angle congruence: We need to show that ∠E ≅ ∠E' and ∠F ≅ ∠F'. This means we need to know the measures or relationships between these angles. For example, if we know that ∠E = ∠E' and ∠F = ∠F', we can use angle congruence to support our proof.

2. Side congruence: We need to show that EF ≅ E'F'. This means we need to know the lengths or relationships between these sides. For example, if we know that EF = E'F', we can use side congruence to support our proof.

It is important to note that without this additional information, we cannot prove the congruence of ΔEFG and ΔE'F'G' using AAS  (Angle-Angle-Side). Therefore, we must have specific information about angle and side congruence to establish the desired proof.

In summary, to prove ΔEFG ≅ ΔE'F'G' using AAS, we need information about the congruence of angles E and E', angles F and F', and the congruence of side EF and E'F'.

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Answer:

$405

Step-by-step explanation:

SI=PTR/100

=9*1*750/100

=$ 67.50

In 6 yrs= 67.50*6

=$405

Answer:

The answer is $1087.50

I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

Infinite

Step-by-step explanation:

No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!

Answer:

This equation has infinite solutions.

Step-by-step explanation:

The equation parts are literally the same.

-8x=-8x

If x=2

-16=-16

If x=1,000

-8,000=-8,000

and so on...

Answer:

13 tables

Np btw