FIND THE DOMAIN AND RANGE

Answer:

-7=b

Step-by-step explanation:

In the picture.

Bye!

The combination of beads that the student will use to make a model of  magnesium hydroxide, Mg(OH)₂ is

Molecule models depict the positions of the various atoms, roughly to scale, and typically with color coding, as well as how they are joined together.

These models are helpful tools for visualizing the structures and shapes of groupings of atoms, which is vital for understanding the behavior of molecules

Over the course of the development of contemporary atomic theory, models have been employed to represent atom configurations.

The model of magnesium hydroxide, Mg(OH)₂ will require the atoms in the ratio:

Magnesium : Oxygen : Hydrogen = 1 : 2 : 2

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Answer:

The surface area is 65.94 ft

Answer:

Step-by-step explanation:

Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

number of samples

From the information given,

µ = 15

σ = 4

n = 31

We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as

P(14.5 ≤ x ≤ 15.5)

For x = 14.5

z = (14.5 - 15)/(4/√31) = - 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.2420

For x = 15.5

z = (15.5 - 15)/(4/√31) = 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.7580

Therefore,

P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160

Add like terms:

subtract 2x from both sides:

Add 10 to both sides:

Divide both sides by 2:

1. Cost is proportional to Area includes;

-Carpeting that cost $22 for every 3 square yard

-Cost ($) and Area (ft^2) table

-Mulch that cost a set amount to cover a square foot

2.    Cost is not proportional to Area;

- Linear graph

-  Asphalt sealant that is quoted at a set price per square foot, plus a labor fee

3. Not enough information

- A wood deck quoted at a bulk cost for 25 square feet.

The Linear graph is not proportional to the area looking at the coordinates that has been provided. The cost to the yard area does not have a consistent progression. By this, $1,600 should cove 60 yd² instead of 80

The above answer is based on the information provided in the picture as seen below;

Drag each object to show whether cost is proportional to area in the situation represented.

Cost is proportional to Area       Cost is not proportional to Area               Not enough information

a. A wood deck quoted at a bulk cost for 25 square feet.

d. Asphalt sealant That is quoted at a set price per square foot, plus a labor fee.

c. Carpeting that cost $22 for every 3 square yard

d. Mulch that cost a set amount to cover a square foot

e.   Cost ($)                 Area (ft^2)

       500                        400

       750                         600

     1000                        800

f. A cost ($) and area (yd^2) that has coordinates (0, 0), (20, 1200) (80, 1600)

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The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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Answer: 2

Step-by-step explanation:

there are 16 people

32÷16=2

each person gets 2 cupcakes

Answer:

2 cupcakes each

Step-by-step explanation:

if you have 32 cupcakes for a party of 16 people total, you'll want to divide 32 by the 16 party members that you have.

32÷16 will give us 2, so our answer will be 2 cupcakes for each person at the party.

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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Answer:

(2k-5)(2k-5)

Step-by-step explanation:

The exponent of 2 lets us know that the numbers and variables in the parentheses are getting multiplied together twice. E.x: if it was (2k-5)^3, it would have 3 sets of parentheses instead of 2.

Step-by-step explanation:

add all on Darcy

231+210+245+259+286+245+231+244+236+228

=2415

then divide by 10

241.5

Answer:

$7.50

Step-by-step explanation:

Just add the 2 together

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

3,0

Step-by-step explanation:

Subtraction is an arithmetic operation that involves removing one number from another. It is the process of finding the difference between two numbers. The phrase "take away" helps to simplify the concept by describing it in terms of physically removing an object or quantity from a group or collection. It creates a tangible image in the mind of removing a specific number of objects or units from a total.

Single-digit subtraction involves subtracting numbers that are one digit in length, such as 7-4. Multiple-digit subtraction involves numbers that have two or more digits, which often requires "borrowing" from the next column.

In a home setting, subtraction could be used to determine how much money is left after paying bills or how much food is left in the pantry after making a meal. In a job setting, subtraction may be used in calculations for determining inventory levels or calculating profit margins.

Subtraction is often needed in word problems or real-life situations that involve taking away or removing a quantity from a larger total, or determining the difference between two quantities or values.

Solving word problems involves breaking down the problem into smaller, more understandable parts and finding the appropriate mathematical operation needed to solve it. Similarly, specific tasks at school, home, or work often require breaking a large task or project into smaller, more manageable parts.

In many jobs, addition may be necessary for accounting tasks, revenue forecasting, or inventory tracking, among other responsibilities.

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Its velocity is 69.28 feet/sec of a tsunami in 300 feet of water.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

here, we have,

Since the depth of the water 'd' (in feet) and the velocity of the wave 'v' (in feet per second) are related by the equation

v = √(16d)

a wave forms in water with a depth of 300 feet,

therefore d = 300 ft

so, we get,

velocity = √(16*300)

             = 4√300

             =4*17.32

             =69.28

Hence, Its velocity is 69.28 feet/sec of a tsunami in 300 feet of water.

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Answer:

The lines will intersect infinitely many times, because they are identical.

Step-by-step explanation:

Let's change the equations of the lines into (y=mx+b) form.

6x-4y=2 Divide by 2.

3x-2y=1 Move x and divide by -2.

-2y=1-3x ---> y= -1/2+3/2x

The equation of the first line is y=3/2x- 1/2

-2y+3x=1

-2y=1-3x

y = 3/2x -1/2

The equation of the second line is y = 3/2x- 1/2.

The lines are identical- infinitely many intersections.

Step-by-step explanation:

I think the answer is third because it doesn't has a solution.

Answer:

$224.825

Step-by-step explanation:

100%-60%=40%

40%=89.93

1%=89.93÷40=2.24825

100%=2.24825x100=224.825

I think its like this?

Answer:

(x+2)²+(y-4)²=36

Step-by-step explanation:

1) to determine the coordinates of the centre of the given circle. It is point A (-2;4);

2) to determine the length of the radius: to calculate the distance between the point A(-2;4) and any point on the circle, it is 6 [units];

3) to make up the required equation according to the scheme:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - the coordinates of the centre, r - the length of the radius.

4) finally, (x+2)²+(y-4)²=6².

PS. for more details see the attachment.

Answer:

\(\frac{3.02}{10}, \frac{30.2}{100}, \frac{302}{1000}\)

Step-by-step explanation:

Each of those fractions equal 0.302 which if multiplied by 100 equals the percentage that you're looking for

Answer:

-5 and +5

Step-by-step explanation:

add twelve to both sides

New equations: 2x= -+10

Divide by 2 on both sides

x=-5, +5

Answer:

x=11

Step-by-step explanation:

when we add 10 and 12 we get 22 and when we divide

22 by 2 we get 11

The number of times does the heart beats per year is 4.2 x 10^7 times

From the question, the given parameters are:

The human heart beats approximately 1.152x10^5 times per day

This means that

Daily heart beat =  1.152 x 10^5 times per day

There are 365 days in a year

So, the number of heart beats in a year is the product of the number of days in a year by the daily heart beats

So, we have

Yearly heart beat = Number of days in a year * Daily heart beat

Substitute the known values in the above equation

Yearly heart beat = 365 * 1.152 x 10^5 times

Evaluate the products

So, we have

Yearly heart beat = 420.48 x 10^5 times

Rewrite as

So, we have

Yearly heart beat = 4.2048 x 10^7 times

Approximate

Yearly heart beat = 4.2 x 10^7 times

Hence, the number of times does the heart beats per year is 4.2 x 10^7 times

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Answer:

A

Step-by-step explanation:

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer: 5.6 kilograms.

Step-by-step explanation:

We know that 1,000 paperclips have a mass of 1 kilogram.

Therefore, one paperclip has a mass of 1/1000 kilograms, or 0.001 kilograms.

To find out how many kilograms 5,600 paperclips have, we can multiply the mass of one paperclip (0.001 kilograms) by the number of paperclips:

0.001 kilograms/paperclip * 5,600 paperclips = 5.6 kilograms

Therefore, 5,600 paperclips have a mass of 5.6 kilograms.

For the time period of  the projectile at least 192 feet above the ground is between 2 second and 6 second

Since s=128t-16t2, we want to know the 2 times where 128t-16t2=192, as those two values will be the begin and end times of the interval in question. We can rewrite that equation in standard quadratic equation form:

16t2-128t+192=0 or, simplified, 8t2-64t+96=0

or t2-8t+12=0

since it is now in quadratic form, we can solve using the quadratic formula:

t = 2 and 6

So the time period from approximately 2 second and 6 second has the projectile above 192 feet.

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The equation of each line that satisfies the given conditions are:

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

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

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

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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