How do I solve this? I need step by step
y=2x
x=-y+6

The area of the given figure which has the shape of a trapezium would be = 58.5cm²

To calculate the area of the trapezium given above, the formula for area of a trapezium should be used and this is given below;

Area of a trapezium= 1/2(a+b)h

Where;

a= 12cm

b= 7.5cm

height= 6cm

Area of trapezium = 1/2(12+7.5) × 6

= 19.5×3 = 58.5cm²

Therefore, the area of the given shape above is calculated as 58.5cm²

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Answer jake is 29

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the age of Jake be=x

let the age of Finn be=x+4

Five years ago:

age of Jake +age of Finn=48

x+x+4-5=48

2x-1=48

2x=48=1

2x=49

x=49/2

x=24.5

therefore, age of Jake=x=24.5

therefore, age of Finn=x+4=24.5+4=28.5

hope it helps

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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You would solve the function but you would replace the variable with the number in the parenthesis. Like if it was f(2)=3x+4 then you would do 3(2)+4 which is 10.

Answer:

where are the functions below? or should they be equated? like f(x) with the g(x)??

Answer:

98

Step-by-step explanation:

2(7*7)= 2*49=98

Answer:729

Step-by-step explanation:X would be 7, so that would make 27^2, and 27^2 is 27x27, because it is 2 27s. Therefore, 27x27 equals 89, drag the 4 above the 2, and multiply the 7 with the top 2, and you mark out the 4 and put 1 over it. The answer for that would Ben 189, put down your denominator, and multiply the second 2 with 7 and the 2 above that 2, and then you get 540, and then you add the 189, 1 over that one, and plus it with 540, which would equal 729. Sorry if I made it sound confusing, I tried. Hope this helps, though!

Volume of the cube  is 840 cubic centimeters and volume of cylinder is 904.32 cubic feet

Let us calculate the volume of the cube which has a length of 7 cm , width is 8 cm and height is 15 cm

Volume = Length×width×height

=7×8×15

=840 cubic centimeters

Now let us find the volume of cylinder which has diameter 12 ft and height of 8 ft

Radius of cylinder is 6 ft

Volume of cylinder= πr²h

=3.14×6²×8

=3.14×36×8

=904.32 cubic feet

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Answer:

360 boxes

Step-by-step explanation:

The number of boxes in the warehouse before 60 boxes were added is;

n = 12k ....  equation 1

where k is the constant of the number of stacks and n is the number of boxes.

The number of boxes after the 60 boxes were added is;

n + 60 = 14k ... equation 2

substitute the value of n in equation 2 for equation 1:

12k + 60 = 14k

60 = 14k - 12k

60 = 2k

k = 60 / 2 = 30

The number of boxes in the warehouse before 60 boxes was added is;

n = 12 * 30 = 360

Answer:

B) 65 sq in

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

= 5² + 1/2(20)(4)

= 25 + 40

Answer:

C

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!

Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.

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Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.

A. 0.006 Square degrees

B. 0.36 Square degrees

C. 0.0036 Square degrees

D. 0.06 Square degrees

To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).

To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.

The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.

By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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Answer:

The remaining distance will be "56 km".

Step-by-step explanation:

Speed and Time:

The speed (s) of an object seems to be the rate at which it travels from one location to some other. It's also calculated by dividing the distance (d) traveled by the timeframe (t) or duration.

According to the question,

Average speed when cross a late, 108 km/h

On particular day, average speed 94 km/h

Time taken, 4 hours

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^^^^^^

not my work

where I found the answer

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

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As per the unitary method, the number of dimes is 4.35 and the number of quarters is 30.55

Here we have given that Tabitha has $4.35 in dimes and quarters. if the quantity of dimes is three more than twice the number of quarters.

And we need to find how many of each coin does she have.

Here let us consider x be the number of dimes and y be the number of quarters.

And we also consider that there are hundred coins in total, so

=> x + y = 100 -------------------(Equation 1)

Now, here he has x dimes, each dime is 10¢ =  $0.10 and in total he has $ 0.10x in dimes.

Then if he has y quarters, each quarter is 25¢ = $0.25, then in total he has $ 0.25y in quarters.

While we adding the above two quantities,  

Then he has 0.1x + 0.25y in dimes and quarters,

Here we know the total amount of money he has is $4.35,

Then it can be written as

=> 0.10x + 0.25y = 4.35 ---------------------------- (Equation 2).

Then we have to solve these two simultaneously for x and y

By multiply equation 2 by 10 on the left and right hand sides, which gives

=> x + 2.5y = 43.5 (Equation 3).

Then subtract equation (1) from equation (3) to eliminate x.

=> 1.5y = 56.5

=> 3.77

Then the value of x is

=> x = 43.5 - 12.95

=> x = 30.55

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Answer:

Number of peppers purchased

Step-by-step explanation:

The Independent variable is the variable which causes a change in the dependent variable. Hence, in a regression problem, the independent variables may be one or more separate variables which are used to observe changes in the dependent variable. The independent variablea are also called predictor variables. In the scenario above, the number of pepper purchased cause a change in the amount paid. In other words, the amount a customer pays for green pepper (dependent variable) depends on the number of pepper purchased (independent variable)..

Answer: 24

Step-by-step explanation:

36/3 = 12

This means that 12 is one third of the flower pots.

Since she uses two thirds, just multiply the answer by 2.

12x2 = 24, so 2/3 is 24

Therefore, Mary plants daisies in 24 flower pots.

Hope this helps!

The plane EFG  in the rectangular prism is parallel to plane ABC.

In this question, we have been given the rectangular prism ABCDEFGH

We need to find the plane which is parallel to plane ABC.

We can observe that in given rectangular prism,

plane ABH is parallel to the plane CDF

plane BCE is parallel to the plane AGF

plane EFG is parallel to plane ABC.

Therefore, the plane EFG  in the rectangular prism is parallel to plane ABC.

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Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

Solution,

At break even, cost = revenue

43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

x = 50

So, the required number of units are 50.

The probability that at least one of the five randomly selected vials from a shipment of 58 that has 18 vials without hairline cracks is 0.843. This is calculated by subtracting the probability of none of the selected vials having a hairline crack from 1.

The probability of none of the selected vials having a hairline crack can be found by multiplying the probability of the first vial not having a hairline crack with the probability of the remaining four vials not having a hairline crack. This is calculated by dividing the number of vials without hairline cracks by the total number of vials, which is 18/58, multiplied by the same value four more times. This gives us:

(18/58) x (18/58) x (18/58) x (18/58) x (18/58) = 0.157

Therefore, the probability of at least one of the five randomly selected vials having a hairline crack is 1 - 0.157 = 0.843.

In conclusion, the probability that at least one of the five randomly selected vials from a shipment of 58 vials, 18 of which do not have hairline cracks, has a hairline crack is 0.843.

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Answer:

44 sq. in.

Step-by-step explanation:

Area (total) = (1/2)(3)(4) + 10(3) + (1/2)(8)(2)

= 6 + 30 + 8

= 44 sq. in.

Step-by-step explanation:

for 2.3

for 2.3 million

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Mirawesome

The given numbers are not the same they are different

How to show the numbers are different

given information

2.3

2.3 million

The two numbers can be rewritten as

We can see that the first, is multiplying 0.1 which is a fraction.

The second is multiplying a million which is 1,000,000 = 10^6.

We can conclude that the first number is less than the second number. represented mathematically as

2.3 < 2.3 * 10^6

Also using place values

2.3 = 2 ones  and 3 tenths

2.3 million = 2 millions 3 hundred thousands

We can then conclude that the two numbers given are rather different and not the same

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\(growth\:=(\frac{present \: value}{past \: value})^{ \frac{1}{n} } \: - 1 \)

past value = 1700 people

n = 2005 - 1983 = 22

growth rate = 190%

present value = ?

then,

\(190\% = ( \frac{?}{1700})^{ \frac{1}{22} } - 1\)

1.9 = (x/1700) ^(1/22) - 1

1.9 + 1 = (x/1700) ^(1/22)

2.9 = (x/1700) ^(1/22)

log 2.9 = 1/22(logx - log 1700)

log2.9 = 1/22logx - 1/22log1700

log2.9 + 1/22log1700 = 1/22logx

log(2.9 * 1/22(1700)) = 1/22logx

log 224 = 1/22logx

log(224 - 1/22(x)) = 1

log(224 - 1/22(x)) = log 10

224 - 1/22(x) = 10

(234) * 22 = x

x = 5148.

Number of people to die from AIDS would have been 5148 if left unchecked.

That's what I found. Please feel free to tell me where am wrong.

All the best!

Group B is farther from camp.

Group B is farther from camp in comparative to other Group A.

Direction sense ability is  to find one's way around easily in a new place a good/poor sense of direction.

Here, Distance travel together = 4 miles.

         After changing their direction distance covered by them = 1.4 miles.

       Group A turns 48⁰ towards north

    So, total distance covered by group A = 1.4 + 4 X sin 48⁰

                                                                    = 1.4 + 4 X 0.7341

                                                                    = 4.34 miles.

     Group B turns 32⁰ towards south.

Similarly, distance covered by group B = 1.4 + 4 X cos 32⁰

                                                                = 1.4 + 4 X 0.8480

                                                                = 4.79 miles.

Thus, Group B is farther from camp in comparative to other Group A.

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Answer: C. 5

Step-by-step explanation:

The salt will acquire octahedral hole. Thus option B is correct .

Given,

\(r^{+} = 165\\ r^{-} = 297\)

Now,

Find the coordination number ,

Radius ratio = \(r^{+} / r^{-}\)

Substitute the values of radius of salt to get the coordination number .

Radius ratio = 165/297

Radius ratio = 0.556 .

If the radius ratio is between 0.414 and 0.732

Range of radius ratio : 0.414 < r < 0.732

Then coordination number is 6 . If the coordination number is 6 then it will acquire octahedral void .

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Answer:

Min = -1

Max = 3

Step-by-step explanation:

Evaluate the values on the ends of the interval

\(f(-10) = \sqrt[3]{-10+9}\)

\(f(-10)=\sqrt[3]{-1}\)

\(f(-10)= -1\)

\(f(18)=\sqrt[3]{18+9}\)

\(f(18)=\sqrt[3]{27}\)

\(f(18)=3\)