Which measurement is equivalent to 850 mg A 8,500 g ,B 8.5 kg, C 0.850 g, D 85 cm.​

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

It is true for the number 54 is a multiple of 9

It is true for the number 16 is a multiple of 2

It is false for the number 48 is a multiply of 9

It is true for the number 32 is a FACTER of 8

It is true for 6 is a factor of 12

Step-by-step explanation:

9*6=54

8*2=16

9*5=45 in order to get 48 you have to multiply 8*6

8*4=32

6*2=12

The table representing the straight line y = 7x, is given below.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation -

y = 7x

We can write the table as -

[x]       [y]

1            7

2          14

3          21

4          28

5          35

Therefore, the table representing the straight line y = 7x, is given above.

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i am so sorry me dont know

Answer:

Answer: Composite figure: 360 ft3

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

Answer:

X can either be -4 or 11.

Step-by-step explanation:

\(x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0\\\)

If we set (x+4) to zero then x equals -4

If we set (x-11) to zero then x equals to 11.

So x can be -4 or 11.

Answer:

1 book costs 25 R

1 pen costs 30 R

Step-by-step explanation:

Let 1 book be x

1 pen be y

Here, I used the elimination method.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Answer:

Store A

Step-by-step explanation:

Store A

50/100=0.5

0.5×5=2.5

The watch will be 50-2.5=47.5

Store B

60/100=0.6

0.6×20=12

The watch will be 60-12=48

So the watch price in store A is better

Answer:

You should buy from Store A because you're paying $0.50 less than if you were to buy from Store B.

Step-by-step explanation:

First, don't subtract if it's a percentage. You will want to multiply to get the amount you're removing from the original price.

Let's look at Store A. $50 and 5% discount. 50 * 0.05 = 2.5. Remove 2.5 from 50.

50 - 2.5 = 47.5

When you buy from Store A, you will pay $47.5

Let's look at Store B. $60 and 20% discount. 60 * 0.20 = 12. Remove 12 from 60.

60 - 12 = 48

When you buy from Store B, you will pay $48

Ultimately, Store A is the best option because you're paying less.

Answer: $2.21

Step-by-step explanation:

To calculate the cost per pound of mushrooms, we need to use the yield factor given in the question. The yield factor tells us the percentage of the total weight of the mushrooms that can be used for cooking or sale. Here, the yield factor is 90%, which means that 90% of the weight of the mushrooms can be used. Let's begin with the calculation:

First, we need to find out how much of the weight of the mushrooms is usable: 90% of 15 pounds = 0.9 x 15 = 13.5 pounds

Now, we can find out the cost per pound of the mushrooms:

Cost per pound = Total cost / Total usable weight

Total cost = $29.85

Total usable weight = 13.5 pounds

Therefore, the cost per pound of mushrooms = $29.85 / 13.5 pounds ≈ $2.21 per pound

Therefore, the cost per pound of mushrooms is $2.21 per pound.

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg

Answer: 70 cars.

Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.

Answer:

Step-by-step explanation:

To find the time at which the rocket will splash down, we need to set h(t) to 0 and solve for t:

h(t) = -4.9t^2 + 169t + 234 = 0

Using the quadratic formula, we get:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

Where a = -4.9, b = 169, and c = 234.

Plugging in the values, we get:

t = (-169 ± sqrt(169^2 - 4(-4.9)(234))) / 2(-4.9)

t = (-169 ± sqrt(28561.6)) / (-9.8)

We only want the positive value of t, as the rocket is launched at t = 0 seconds, so:

t = (-169 + sqrt(28561.6)) / (-9.8) = 17.2832 seconds (rounded to 4 decimal places)

Therefore, the rocket will splash down after 17.2832 seconds.

To find the height of the rocket at its peak, we need to find the vertex of the parabolic function h(t), which occurs at the value of t given by:

t = -b / 2a = -169 / 2(-4.9) = 17.3469 seconds (rounded to 4 decimal places)

At the time t = 17.3469 seconds, the height of the rocket is given by:

h(17.3469) = -4.9(17.3469)^2 + 169(17.3469) + 234 = 1764.203 meters (rounded to 3 decimal places)

Therefore, the rocket peaks at a height of 1764.203 meters above sea-level.

Since l and m are parallel, the unlabeled angle adjacent to the 63° one also has measure (7x - 31)° (it's a pair of alternating interior angles).

Then the three angles nearest line m are supplementary so that

(7x - 31)° + 63° + (5x - 8)° = 180°

Solve for x :

(7x - 31) + 63 + (5x - 8) = 180

12x + 24 = 180

12x = 156

x = 13

The bottom-most angle labeled with measure (4y + 27)° is supplementary to the angle directly adjacent to it, so this unlabeled angle has measure 180° - (4y + 27)° = (153 - 4y)°. The interior angles of any triangle have measures that sum to 180°, so we have

(7x - 31)° + 63° + (153 - 4y)° = 180°

We know that x = 13, so 7x - 31 = 60. Then this simplifies to

123° + (153 - 4y)° = 180°

Solve for y :

123 + (153 - 4y) = 180

276 - 4y = 180

96 = 4y

y = 24

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

Answer:

CD = 15

Step-by-step explanation:

We are given two quadrilaterals: CDEF and GIJH.

We know that CD = 3x - 6, and GI = x + 8.

We want to find the length of CD.

Notice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.

Because of that, CD = GI.

If we substitute 3x - 6 for CD and x + 8 for GI, we get:

3x - 6 = x + 8

Now, we can solve this like a regular equation.

Add 6 to both sides.

3x - 6 = x + 8

    +6       +6

_________________

3x = x + 14

Subtract x from both sides.

3x = x + 14

-x    -x

_____________-

2x = 14

Divide both sides by 2.

2x = 14

÷2    ÷2

____________

x = 7

We found the value of x.

Now, substitute 7 as x in 3x-6 (the length of CD).

CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15

Therefore, CD = 15.

The median, lower quartile, maximum upper and minimum quartile are

Median = 46.5,Minimum = 32, Maximum = 62, Lower quartile = 38, Upper quartile = 59

The given data for the computations are

32  34  37  39  41  45  48  53  58  60  61  62

We should know that the median is the middle value when the values are arranged in ascending or descending order of magnitude. There are 12 sets of numbers, the median is the mean of the two middle numbers

(45+48)/2=93/2 = 46.5

From the set of numbers, the maximum is the largest number while the minimum is the smallest number.  These numbers are 62 and 32 respectively

The lower and upper quartiles,  when the set of data is divided into 4 parts, The first part is the lower quartile, the middle is the median and the third is the upper quartile

32  34  37 |  39  41  45 | 48  53  58 | 60  61  62

The lower quartile is given thus

37 + 39 = 76

76 ÷ 2 = 38

The upper quartile is given thus

58 + 60 = 118

118 ÷ 2 = 59

In conclusion, the Median = 46.5, Minimum = 32, Maximum = 62, Lower quartile = 38, Upper quartile = 59

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Complete question:

what is the median,lower quartile,maximum,upper quartile,and the minimum of 34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41

The statistical measures for the data points are

Generally, Statistical measures are techniques or formulas used to describe and summarize data in a meaningful way. They provide a way to quantitatively summarize and interpret data and can help to identify patterns, trends, and relationships in the data. Some common statistical measures include:

Mean: This is the average of a set of numbers, calculated by adding all the numbers together and dividing by the total number of items.

Mean=(34+37+39+32+48+45+53+62+58+61+60+41)/12

Mean= 47.5

Median: This is the middle value in a set of numbers when the numbers are arranged in order from least to greatest.

Median= (45+ 48)/2

Median=46.5

Mode: This is the most frequently occurring value in a set of numbers.

There are no numbers that occurred more than once, so no mode

Range: This is the difference between the highest and lowest values in a set of numbers.

Range 62-32

Range =30

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Answer: 3.499 now 3.079 is correct

Answer:

45.7 Centimeters

Step-by-step explanation:

Hope this helped! :)

Answer: 30 mph

Step-by-step explanation: As we know: the formula for Average Speed (AS) is Average Speed = Total Distance ÷ Total Time.

Since we don't know exactly how far Jen needed to drive, our distance there will be 1, and since we don't know how long it took to get there, we will put 1 as well.

Now we have to state the distance and time to get back.  The distance will stay the same so we keep it 1. Now it is stated that when returning, it took Jen 3 times slower to get back, so we do 1 × 3 (because it took her longer) and get 3.

Next, we substitute: AS=TD÷TT ⇒ AS= (1+1) ÷ (1+3) = 2 ÷ 4= 1/2 or 1.4

Since our given beginning speed was 60mph, we need to multiply by 1/2 to get the final answer:

1/2 x 60 = 30

So ya, this is the answer *100% correct, checked on another website*

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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About 21% of the animals at an animal shelter are dogs, which can be written as the fraction 21/100 or simplified to 3/14.

To convert the percentage of dogs at the animal shelter to a fraction, we can write 21% as a ratio of 21 dogs for every 100 animals.

This means that for every 100 animals at the shelter, there are 21 dogs. To express this as a fraction, we can write 21/100.

So, about 21/100 of the animals at the shelter are dogs. This fraction can be simplified to 3/14, which means that out of every 14 animals at the shelter, there are 3 dogs.

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The right expression will be -3x + 3 = 3( 1 - x ) for the given expressions.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there are different expressions the correct expression choice is calculated s below:-

-3x + 3 = 3( 1 - x )

-3x + 3 = 3 - 3x

-3x + 3 = -3x + 3

Hence, the correct ex[ression would be -3x + 3 = 3( 1 - x ).

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The net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m is -2.40

Let's start by finding the distance between the electron and each point charge. The distance between the electron and the positive charge at the origin is:

r₁ = 0.200 m

The distance between the electron and the negative charge at x = 0.800 m is:

r₂ = 0.800 m - 0.200 m = 0.600 m

Now we can use Coulomb's law to find the magnitude of the electric force between each point charge and the electron. The force exerted by the positive charge is:

F₁ = k * q₁ * qe / r₁²

where qe is the charge of the electron, which is -1.60 x 10⁻¹⁹ C (negative because it is an electron). Plugging in the values, we get:

F₁ = (9.0 x 10⁹ N*m²/C²) * (4.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.200 m)

F₁ = -1.44 x 10⁻¹⁴ N

The negative sign indicates that the force is attractive, since the electron is negative and the point charge is positive.

Similarly, the force exerted by the negative charge is:

F₂ = k x q₂ x qe / r₂²

Plugging in the values, we get:

F₂ = (9.0 x 10⁹ N*m²/C²) * (-6.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.600 m)²

F₂ = 1.20 x 10⁻¹⁴ N

The positive sign indicates that the force is repulsive, since the electron is negative and the point charge is also negative.

Now we can find the net electric force on the electron by adding the two forces together:

Fnet = F1 + F2

Fnet = (-1.44 x 10⁻¹⁴ N) + (1.20 x 10⁻¹⁴ N)

Fnet = -2.40

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Complete Question:

A 4.00 n C point charge is at the origin, and a second − 6.00 n C point charge is on the x-axis at x = 0.800 m.

Find the net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m.

Volume formulas:

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

Volume of metal, is same as the volume of the cone with radius a and height 2a:

(i) The volume of the metal plank is half the volume of the metal:

(ii) The volume of the two spheres is same as the volume of the plank, so the volume of each sphere is:

The volume of sphere with radius r is 3πr³/4, compare the two and solve for r:

(iii) Using the volume of the plank (cube), find the side length:

(iv)

Use the formula from the previous part and substitute values of a and π to get: