What is 2.072539 rounded to the nearest hundredth?

Answer:

p=-9

Step-by-step explanation:

11= p-7-3p

you can slove p-3p now which is -2p, then add -7 to both sides.

18=-2p

then divide by -2

p=-9

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

Answer:

Answer: y=1/3x-6

Answer:

y=x-4

Step-by-step explanation:

I graphed this out and got the equation.

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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It is proved that ca⇀ and cb⇀ are orthogonal .

Let AO = - u vector , OB = u vector and OC = α vector .

According to question ,

u * u = v * v = r ^ 2 and

AC vector = AO vector + OC vector = u + v

BC vector = BO vector + OC vector v - u ,

Applying dot - product ,

( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )

                                            = ( v . v ) - ( u . u )

                                          = ( r ^ 2 ) - ( r ^ 2 )

                                           = 0

Hence , AC and BC are orthogonal .

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The position of the bus at time t2=2.15 s is given by x(t2)=7.988875 m.

Given that acceleration of the bus is given by  x(t)=αt, where α = 1.15 m/s³ is a constant.

If the bus's position at time t1 = 1.20 s is 5.95 m, we need to find its position at time t2 = 2.15 s.

The formula for position is given by:

x(t) = (1/2) * α * t² + v₀ * t + x₀ Where v₀ is the initial velocity and x₀ is the initial position of the bus.

At time t1 = 1.20 s, the position of the bus is 5.95 m.

Hence, we can write:

5.95 = (1/2) * 1.15 * (1.20)² + v₀ * 1.20 + x₀

Simplifying this equation, we get:

5.95 = 0.828 + 1.38v₀ + x₀ ...(1)

Now, at time t2 = 2.15 s, we need to find the position of the bus.

Hence, we can write:

x(t2) = (1/2) * 1.15 * (2.15)² + v₀ * 2.15 + x₀ ... (2)

We can subtract equation (1) from equation (2) to eliminate v₀ and x₀. Doing so, we get:

x(t2) - 5.95 = (1/2) * 1.15 * [(2.15)² - (1.20)²] ... (3)

Simplifying equation (3), we get:

x(t2) - 5.95 = 1.15 * 1.7725 = 2.038875

Therefore, the position of the bus at time t2 = 2.15 s is given by:

x(t2) = 5.95 + 2.038875 = 7.988875 m

Therefore, the position of the bus at time t2=2.15 s is 7.988875 m.

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in 15 hours Alexandra makes 7.5 boxes.  how many boxes can she make in one hour?

so 15 hours=7.5 boxes

divide both sides by 15 to get hours

1 hour=7.5/15

answer is 1 hour=0.5 boxes

hope this helped you :)

Answer:

352 lbs is correct

Step-by-step explanation:

They did estimate correctly. for how to do this look below:

So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs

22 which was current pounds at the time and she would keep gaining that every week for 16 weeks

So weight times weeks

22*16

22*16= 352

Hope this helps!

The number of candidates (n) and the number to be selected (r) were not provided in the question, I am unable to provide a specific numerical answer. There are 252 ways to select a list of 5 candidates from a pool of 10 candidates.

If we assume that the number of candidates is n and the boss wants to select a list of k candidates, then the number of ways to select the list can be calculated using the combination formula.
The formula for combination is: n choose k = n!/k!(n-k)!
Using this formula, we can find the number of ways to select the list of k candidates from the n candidates.
For example, if there are 10 candidates and the boss wants to select a list of 5 candidates, then the number of ways to select the list would be:
10 choose 5 = 10!/5!(10-5)! = 252
Therefore, there are 252 ways to select a list of 5 candidates from a pool of 10 candidates.
In general, the number of ways to select a list of k candidates from a pool of n candidates can be calculated using the combination formula as n choose k = n!/k!(n-k)!.
Hi there! It seems that your question is incomplete, but I'll try my best to provide a helpful answer using the information provided. It appears you are asking about the number of ways to select a list of candidates to submit to a boss for a final decision.
To calculate the number of ways to select a list of candidates, we will use the concept of combinations. A combination is a way of selecting items from a larger set, without considering the order in which they are chosen. The formula for combinations is given by:
C(n, r) = n! / (r!(n-r)!)
where C(n, r) represents the number of combinations, n is the total number of candidates, r is the number of candidates to be selected, and ! denotes a factorial (e.g., 5! = 5 x 4 x 3 x 2 x 1).
However, If you can provide the values for n and r, I would be happy to help you calculate the number of ways to select the list of candidates to submit to the boss.

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The height of the rock as it is thrown upwards is in the shape of a parabola which is described as follows;

Part A: Please find attached the graph of the parabola that describes the height of the rock after being projected into the air, created with MS Excel.

Domain; [0, 4]

Range; [0, 256]

Part B: The function that models the scenario, obtained using the vertex form of a parabola is; h(x) = -16·(x - 2) + 256

A parabola is a geometric shape defined as the set of points that are both equidistant from  a fixed point, known as the focus and a fixed line, known as the directrix.

To create a graph to represent the scenario, we can use the vertex form of a quadratic function, which is; y = a·(x - h)² + h

Where; (h, k) is the vertex of the parabola. We know that the height of the edge of the cliff from which the rock is thrown is 192 feet, so the initial height of the rock is 192 feet

The maximum height = 256 feet

The time to reach the maximum height = 2 seconds

Therefore; The coordinate of the vertex = (2, 256)

The time the rock takes to reach the ocean from the max height = 4 seconds

Total time the rock is in the air = 6 seconds

Therefore, we get;

y = a·(x - h)² + k

192 = a·(0 - 2)² + 256 = 4·a + 256

192 = 4·a + 256

192 - 256 = -64 = 4·a

-64 = 4·a

a = -64/4 = -16

a = -16

The equation is therefore;

y = -16·(x - 2)² + 256

The above function can be used to create the graph of the motion of the rock as follows;

The x-intercept is the point where y = 0, therefore, the x-intercept is 6

y = 0 = -16·(x - 2)² + 256

16·(x - 2)² = 256

(x - 2)² = 256/16 = 16

x - 2 = √(16) = 4

x = 4 + 2 = 6

x = 6

The x-intercept is; (6, 0)

The y-intercept is the point where x = 0, therefore;

y = -16·(x - 2)² + 256

y = -16·(0 - 2)² + 256 = 192

The y-intercept is; (0, 192)

Please find attached the required graph of the function created with MS Excel

Part B; The function of the graph is; f(x) = -16·(x - 2)² + 256

The domain of the function for the motion of the rock is; [0, 6] since the rock is in the air for 6 seconds

The range of the function is; [0, 256], since the maximum height reach is 256 feet and the lowest height reached is the ocean level or zero feet.

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Answer:

27 pens

Step-by-step explanation:

red pen=7

3more black pen than red pen=3+7=10 black pen

3 more blue pen than red pen=3+7=10 blue pen

T=redpen + blackpen +blue pen

T=7+10+10

T=27 pen

Robert is currently 10 years old. Given that five years ago Sharon was twice as old as Robert was then, we can set up the following equation: y + 5 = 2(y)

We are given the information that Sharon is five years older than Robert, and five years ago Sharon was twice as old as Robert was then. This means we can create a system of equations to solve for Robert's age.

Let x = Robert's current age

Let y = Robert's age five years ago

Given that Sharon is five years older than Robert, we can set up the following equation:

x + 5 = Sharon's current age

Given that five years ago Sharon was twice as old as Robert was then, we can set up the following equation:

y + 5 = 2(y)

Solving the first equation for x, we get x = Sharon's current age - 5. Substituting this into the second equation, we get:

y + 5 = 2(Sharon's current age - 5)

Solving this equation for y, we get y = (Sharon's current age - 5)/2.

Since Sharon is five years older than Robert, Sharon's current age is x + 5. Substituting this into our equation for y, we get:

y = (x + 5 - 5)/2

Simplifying this equation, we get y = x/2. This means that Robert's age five years ago was half of his current age.

Since we know that Robert is currently 10 years old, Robert's age five years ago was 5. Therefore, Robert is currently 10 years old.

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Answer:

If a researcher cannot gain access to a target population, snowball sampling procedures can assist in locating subjects. In regard to sampling procedures, if a researcher wants to be able to generalize results to the total population of interest, then a purposeful sampling technique is the best approach.

Answer:

Non-probability sampling

Step-by-step explanation:

Non-probability sampling is a method of selecting units from a population using a subjective  method.

The basketball will reach its maximum height 1.735 seconds after it has been thrown vertically into the air.

A function is a relationship between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. A function can be represented as an equation, a graph, a table of values, or a verbal description. For example, the function f(x) = 2x + 1 represents a relationship between the input x and the output 2x + 1.

To find the maximum height of the basketball, we need to find the vertex of the parabola represented by the function f(x). The vertex of x-coordinate is:

x = -b/2a

The coefficients of the quadratic equation a\(x^2\) + b\(x\) + c are a, b, and c. In this case, a = -4.9 and b = 17, so:

x = -17/(2*(-4.9)) = 1.735 (rounded to 3 decimal places)

Therefore, the basketball will reach its maximum height 1.735 seconds after it has been thrown vertically into the air.

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Answer:

4x+7=3x+7

Step-by-step explanation:

4x+(7-7)=3x+(7-7)

4x=3x

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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the calculation of the chi-square statistic and give the p-value for the test.0.05 < p-value ≤ 0.1.The correct answer is (d)

The chi-square test is used to test the hypothesis that two categorical variables are independent of each other. The null hypothesis is that there is no association between the two variables.

The test statistic is the chi-square statistic, which is calculated by comparing the observed frequencies in each category to the expected frequencies under the null hypothesis.

In this case, the chi-square statistic is calculated as follows: (16-10.25)²/10.25 + (8-10.25)²/10.25 + (6-5.125)²/5.125 + (3-2.5)²/2.5 = 6.98.

The degrees of freedom for this test are 3, which is the number of categories minus 1. The p-value for this test is less than 0.05, which means that the data provide evidence of a color preference.

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Answer:

8 x 13 = 104 cm squared. So the envolope is 8 cm by 13 cm

Step-by-step explanation:

8 x 13 is 104 and 13 is 5 more then 8. Hope this helps. Have a great day!

Answer:

80

Step-by-step explanation:

cause I'm right and um a smart person

Answer:

80 cuz u gotta love pemdas

Answer:

p= 1

Step-by-step explanation:

1,575x5 =p  p=1

The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

Steps are,

Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.

Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.

Step 3: Draw a line through the two points of intersection of the arcs.

Now, Cleary this method is used to divide a line in two equal parts.

Hence, The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

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Answer:

If you had 80 students attend a concert and the next year you had 160 students attend, that is a 100% increase but if it increased by 50%, there would be 120 students attend. So the wrong part is the '50%'

When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus".

Given that, Yolanda is eating a peanut butter and jelly sandwich for lunch. She has taken a bite of the sandwich and begun chewing the sticky sandwich. Once the bite of sandwich has been chewed, moistened, and mixed with saliva, it is called a bolus. A bolus is defined as a small rounded mass of a substance, especially of chewed food at the moment of swallowing. So, Yolanda's chewed and moistened peanut butter and jelly sandwich has now become a bolus in her mouth.When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus."

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The solution of the system of equations 5x-4y=34 and -x+8y=22 is x = -6 and y = 4, or (x, y) = (-6, 4).

Given the system of equation in the question;

5x - 4y = 34 _____1

-x + 8y = 22 _____2

To solve the system of equation, first solve for x in equation 2 and plug it  into equation 1.

-x + 8y = 22

x = 8y - 22 _____ 3

Plug equation 3 into equation 1

5x - 4y = 34

Plug in x = 8y - 22

5( 8y - 22 ) - 4y = 34

Solve for y

40y - 110 - 4y = 34

40y - 4y = 34 + 110

36y = 144

y = 144/36

y = 4

Plug y = 4 into equation 3

x = 8( 4 ) - 22

x = 32 - 22

x = 10

Therefore, the solution is x = 10 and y = 4.

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The speed at which the gap between the two vehicles is narrowing is 154.4 km/h.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

D^2 = (x^2 + y^2) + z^2

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

= 2800/sqrt(329) = 154.4 km/hr

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we have the expression

11.5x(x+3)+350

this is the same that

11.5(A)+350

where A is the area of rectangular room

11.5 is the rate per square feet

350 is the fee for materials

therefore

the answer is

11.5 represent -----> option E

x(x+3) ------> option F

350 -----> option B

x -----> option C

x+3 ----> option D

To solve this problem, we first need to find the total number of marbles in the goblet. Adding up the number of red, green, and blue marbles, we get a total of 2 22 + 6 66 + 4 44 = 13 32 marbles, Next, we need to find the probability of choosing a green marble on the first draw.

There are 6 66 green marbles out of 13 32 total marbles, so the probability is 6 66 / 13 32, Since we didn't put the first marble back in the goblet, there are now 13 31 marbles left in the goblet and one less green marble. So, the probability of choosing a green marble on the second draw, given that we already chose a green marble on the first draw, is 5 65 / 13 31.

To find the probability of both events happening together (choosing a green marble on the first draw and another green marble on the second draw), we multiply the probabilities of each event: (6 66 / 13 32) * (5 65 / 13 31) = 0.073 or approximately 7.3%.


To find the probability of picking two green marbles one after another without replacement, we can use the following steps:

1. Calculate the total number of marbles in the goblet:
Total marbles = 22 red marbles + 6 green marbles + 4 blue marbles = 32 marbles

2. Find the probability of picking a green marble on the first draw:
P(Green1) = (number of green marbles) / (total number of marbles)
P(Green1) = 6/32

3. Update the number of marbles after the first green marble is drawn:
Total marbles remaining = 32 - 1 = 31 marbles
Green marbles remaining = 6 - 1 = 5 marbles

4. Find the probability of picking a green marble on the second draw:
P(Green2) = (number of green marbles remaining) / (total number of marbles remaining)
P(Green2) = 5/31

5. Calculate the probability of both events occurring:
P(Green1 and Green2) = P(Green1) * P(Green2)
P(Green1 and Green2) = (6/32) * (5/31)

6. Simplify the probability:
P(Green1 and Green2) = 30/992

So, the probability of picking two green marbles consecutively without replacement is 30/992.

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