Find the area of the shape based on the provided measurements

Answer:

D=35

Step-by-step explanation:

First, find a common multiple of both 15 and 6, we get 30, 14/6*5=70/6 meaning that 14/6=35/15

Answer:

Let's use "K" to represent Kevin's current age, and "M" to represent his mother's current age.

According to the problem, if you triple Kevin's age, the result is 1 less than his mother's age:

3K = M - 1

We can simplify this equation by adding 1 to both sides:

3K + 1 = M

This equation tells us that if we add 1 to three times Kevin's age, we get his mother's age. We can use this equation to solve for Kevin's age if we know his mother's age, or we can use it to solve for his mother's age if we know Kevin's age.

Answer:  x(0,0)y(0,0) tell me more I don't really understand it

x=3.4

Step-by-step explanation:

Answer: (D) asymptotically stable and semi-stable

Step-by-step explanation:

Given that:

dy/dx=(−(y−4)2)(y+9)

The critical points are y=4 and y=−9

We have to check the sign of dy/dx in the intervals (-inf,-9), (-9,4), (4, infinity)

In (-inf, -9), dy/dx , let's take y = -10, so we have  

(-(-10-4)^2(-10+9) > 0

In (-9,4), let's take y = 0

dy/dx = (-(0-4)^2)(0+9) < 0  

In (4, inf), let's take y = 10

So we have (-(10-4^)2(10+9) < 0

So at y = -9, sign change for dy/dx from positive to negative. SO it is asymptotically stable

And at y = 4, sign is negative on both sides. So 4 is semi stable

Answer:

\(\frac{-7}{-5}\)

-7/-5

is the slope.

or -1 -2/-2  

you pick.

Step-by-step explanation:

Δy/Δx

-7-0 / 0-5

-7 / -5

-7/-5

is the slope.

change in y over change in x

y2-y1 over x2-x1

simplify if possible.

-1 -2/-2

it's negative.

Answer:

Slope = 1 2/5 or 1.4

Step-by-step explanation:

Using the y2 - y1/x2 - x1 format, you first replace the variables with the points (5 and 0 can be x1, y1, while 0 and -7 can be x2, y2)

-7 - 0/0 - 5

Now subtract: -7 - 0 = -7; 0 - 5 = -5

You would get -7/-5, which simplified: 1.4 or 1 2/5

:p

there you go!

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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Dot plots are used for continuous, quantitative, and univariate data, because they are helpful in identifying clusters and gaps, in addition to outliers, which is one of their primary functions.

This is further explained below.

Generally, Dot plots are used for continuous, quantitative, univariate data. It could be possible to identify the data points if there are just a few of them.

Dot plots are one of the most fundamental forms of statistical plots, and they are most beneficial when used in the presentation of data from collections ranging from extremely tiny to relatively large.

In conclusion, In addition to performing one of their core purposes, which is spotting outliers, they also do a good job of locating clusters and gaps in the data.

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The distinction between present value and future value is that the former is required now and the latter is needed at a future period

What is the difference between present value and future value?

The present value indicates today's worth or dollars of a future value  of a  flow whereas the future value determines the future worth of an investment or deposit made today or deposits over a number of years at a time in the future

The amount that Claudia would have in a year's time is future value because the present value is the initial deposit made today

The amount that Steven would  have to deposit today in order to accumulate $400,000 in 15 years is the present value

The amount that a deposit of $4,500 made today would worth in 6 years is the future value because the initial deposit is the present value.

Joe would have to deposit payments in expectation of future value after 3 years and the deposit required today to earn a rate of return of 5% in order to have $1000 in 5 years is a present value

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y = -49

multiply 7 on both sides

-7*7 = y/7*7

-49 = y

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-7 = y/7

Step 2: Solve for y

Answer: htru3bebfuewbfebfh im smart :)

Step-by-step explanation:

3x2-3(y+1)+9x2+12; reflection in the y-axis, a vertical stretch by a factor of 3, and a translation 1 unit down

The reflection in the y-axis can be achieved by changing the sign of the x-terms while leaving the y-term unchanged. Afterwards, the function needs to be stretched vertically by a factor of 3. This means that all terms will be multiplied by 3. Lastly, the function requires a translation 1 unit down. This can be done by adding a -1 to the y-term. Therefore, the final equation is 3x2-3(y+1)+9x2+12 which includes the reflection in the y-axis, vertical stretch by a factor of 3, and translation 1 unit down.

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Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

\(x = 4 \cos(a) \)

\( \frac{x}{4} = \cos(a) \\ \)

\(( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ \)

\( \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ \)

_____________________________________________

\(y = 5 \tan(a) \)

\( \frac{y}{5} = \tan(a) \\ \)

\(( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ \)

\( \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ \)

_____________________________________________

Thus ;

\( \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ \)

\( {cos}^{2} (a) - {tan}^{2} (a)\)

The best measure of variability for this data is the range, and its value is 10.

The range, which is the difference between the dataset's largest and smallest values, is the appropriate variable for the data at hand.

We simply subtract the smallest value from the largest value to determine the range:

Range = 12 - 2 = 10

Therefore, the best measure of variability for this data is the range, and its value is 10.

Variability, not mean and median, are measures of central tendency. Another way to measure variability is the IQR (interquartile range), but it's not the best option for this dataset because it only takes into account the middle half of the data and may not cover the whole range of values.

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Answer:

1/27

Step-by-step explanation:

Answer:

1/27 is correct give brainliest to fist respond

Answer:

0

Step-by-step explanation:

when you add a 0 to the back the value does not change.

Answer:0

Step-by-step explanation:

Answer: $41.32

Step-by-step explanation:

1. Figure out how many students need cookies.

26 + 31 = 57, 57 students need cookies, thus they need to make at least 57 cookies.

2. Figure out which ingredients are still needed.

One tub of cookie dough makes 20 cookies, so to make 57 cookies, they will need at least three tubs. One frosting tin covers 30 cookies, so to cover 57 cookies, they will need at least two tins. One bag of sprinkles covers 60 cookies, so they will only need one bag, as 60 > 57.

3. Tally up the prices of each ingredient

Price of cookie dough = 9.95, amount of cookie dough needed = 3

9.95 * 3 = 29.85

Price of frosting = $4.59, amount of frosting needed = 2

4.59 * 2 = 9.18

Price of sprinkles = 2.29, amount of sprinkles needed = 1

2.29 * 1 = 2.29

4. Find the sum.

29.85 + 9.18 + 2.29 = 41.32

No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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Answer:

Option (A)

Step-by-step explanation:

If a function 'f' is an odd function,

f(-x) = -f(x)

If a function 'f' is an even function,

f(-x) = f(x)

In this question given function is,

f(x) = \(\frac{220}{x^3}\)

To check the given function is odd or even,

f(-x) = \(\frac{220}{(-x)^{3} }\)

      = \(-\frac{200}{x^{3}}\)

Therefore, from the definition of even and odd functions,

Function 'f' is an odd function.

Option (A) will be the correct option.

Note that based on the volume  calculations,  the manager's statement is NOT correct. The given area of 2m × 2m is insufficient to store all 80 crates.

To verify if the manager's statement is correct, we need to derive the volume of each crate and the total volume required to store all 80 crates.

Volume = Length × Width × Height

Recall that

Length (L) = 690 mm

Width (W) = 445 mm

Height (H) = 180 mm

Thus, the Volume of one crate is

Volume = 690 mm × 445 mm × 180 mm

Converting mm to meters we have,

Volume = (690 / 1000)  × (445 / 1000)  × (180 / 1000)

= 0.690  × 0.445 × 0.180

= 0.055269 m³

Next , we calculate the total volume required for 80 crates as

Total Volume = Volume of one crate × Number of crates

= 0.055269 m³ × 80

= 4.42152 m³

Recall that the manager stated that all 80 crates can be packed in a 2m × 2m area in the store room.

Since area of store room is

Area = 2 m × 2 m

Area = 4 m²

Comparing the total volume required (4.380208 m³) with the available area (4 m²), we see that the volume exceeds the area. Tus, the manager's statement is incorrect.

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Full question:

Manager states that all 80 crates can be packed in a 2m x 2m area e store room. (Assume that the height of the store room is adequate stacked crates) y if this statement is correct. Show all your calculations.​

See attached Image.

An equation to represent the total cost of a job that takes "x" hours is "total cost = $50 + ($150 × x)". The situation can be described as linear.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the cost of consulting is $50, while the cost of labour is $150 per hour.

A.) An equation to represent the total cost of a job that takes "x" hours.

Total cost = $50 + ($150 × x)

B.) Total cost is the labour works for 40 hours,

Total cost = $50 + ($150 × 40) = $6,050

C.) As found above the cost of working 40 hours is $6,050, therefore, the amount of $5,000 will not be enough.

D.) The situation can be described as linear.

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Answer:

Step-by-step explanation:

first you have to see itis an arithmetic or geometric sequence.

then find common difference(for A.P) or common ratio (for G.P)

c.d .=an-an-1

c.r. =an/an-1

1.G.P.

2. A.P

3.G.P

3,5,25/3,125/9,...

c.r.=5/3

or (25/3)/5=25/(3*5)=5/3

or 125/9÷25/3=125/9×3/25=(125×3)/(9×25)=5/3

The range of the graphed function in this problem is given as follows:

[-9, 9].

The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:

[-9, 9].

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a. The number of ways that this is done, if the order of the choices is relevant is 12 ways.

b. The number of ways that this be done, if the order of the choices is irrelevant is 6 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

= n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

When the orders are relevant, this will be:

= 4! / (4 - 2!)

= 4! / 2!

= 12

When orders are irrelevant, this will be:

= 4! / (4 - 2!)2!

= 6 ways

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Answer:

(8.5, 5.5)

Step-by-step explanation:

(10 + 7)/2 = 8.5

(9+2)/2 = 5.5

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Answer: 3ft

Step-by-step explanation:

The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse. The answer is 3 ft.

hope this helped, have a good day! :)

Answer:  1 foot

Step-by-step explanation:

I think it's 1 foot because the tops are touching you have to spread the bottoms apart so it can touch.

Answer:

33

Step-by-step explanation:

45 - (-12) = 33

His friend is 33ft away from him.

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.