Find the domain of the vector function r(t) = < t^3, √t + 5, √–3 – t >

Answer:

I believe… ( it might be wrong… )

Reflect across the line y = x.

translate 1 unit right.

Step-by-step explanation:

i took the same test before but i believe i had a question just like this and got it right soooo….. ye

Answer:

Step-by-step explanation:

That is a horizontal reflection about the vertical line x=2.

Answer:

the answer is B. reflection over y = 4

Step-by-step explanation:

9514 1404 393

Answer:

  A. Sharon

Step-by-step explanation:

Mark is a Doctor or Lawyer, not a farmer.

Beverly is a Doctor or Teacher, not a farmer.

Bruce is a Doctor or Teacher, not a farmer.

Sharon is the only possible candidate for being a farmer.

Sharon is the farmer.

___

Bruce is the Doctor; Mark is the Lawyer; Beverly is the Teacher.

Answer:mark

Step-by-step explanation:the last clue says its mark or bruce beverly is a teacher sharon is the farmer 3 says bruce is not a lawyer so the doctor is mark

mark me brainliest plz

The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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Answer:

(2x + 1)(x + 4)

Step-by-step explanation:

2x² + 9x + 4 cannot be factored normally - we must use the grouping technique (a > 1).

First, check for a GCF. Because there is not a GCF within this (factors of 9 are 1 and 3 - taking a 1 out is pointless), we will instead break the equation into two factors.

2x² will be apart of the first factor. You want to break the 9x into factors that will evenly break down with the 2x^2, so 3x will not work.

Your grouping factors should then be (2x^2 + 8x)(x + 4).

Then, take out the GCFs of the factors.

2x can come out of (2x^2 + 8x), so your new factor is 2x(x + 4). Your second factor set has no GCF, so you take out a 1 and get 1(x+4). In order to verify you did this correctly, the terms having the GCF distributed cannot be different in anyway.

Your factors are now (2x + 1)(x + 4) take the two GCFs and make them a factor set, then the second factor is the common factor.

Answer:

Answer is the fourth option

Step-by-step explanation:

The measurements in (a) 3 inch, 5 inch, 7 inch  produce a triangle. Other two measurements do not produce a triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The properties of the triangle are:

Using second properties we find that which of the following measures produce a triangle.

In a) 3 inch, 5 inch, 7 inch, the sum of the length of two smallest sides are

3 + 5 = 8 inch, which is greatest from the third side.

So this measures produce a triangle because the sum of the length of the two sides of a triangle is greater than the length of the third side.

In b) 5cm, 7cm, 13 cm, the sum of the length of two smallest sides are

5 + 7 = 12 cm, which is smallest from the third side

So this measures does not produce a triangle because the sum of the length of the two sides of a triangle is smaller than the length of the third side.

In c) 14.23ft, 18.23ft, 36.23ft, the sum of the length of two smallest sides are

14.23 + 18.23 = 32.46ft, which is smallest from the third side.

So this measures does not produce a triangle because the sum of the length of the two sides of a triangle is smaller than the length of the third side.

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Rich will incur interest totaling $1,525.095 throughout the course of the 4.5-year non-payment period.

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given that he is aware that he has the option to start loan payback in 4.5 years at the current interest rate of 4.29% on a $7,900 loan, the following will apply:

4.29% of 7900 after the first year

\(4.29/100*7900\)

=338.91

So, after the tenure of 4.5 years, to find total interest, the interest will be multiplied by 4.5:

=338.91*4.5

=1525.095

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Answer:

raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)

thus, rate of draining of water gallons per minute = -1.5

amount of water remaining in the bathtub = y,

the function of the time in minutes that it has been draining = x, .

at 0 minutes the amount of water is 40 gallons.

thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute

the given function is a linear function  

y = 0

however, the volume of water can be 0 but cannot ever be negative.

thus, the range of y will be all real numbers such that 0≤y≤40

Step-by-step explanation:

Answer:

y = 0

Step-by-step explanation:

i took test

Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

Lane 3 turtle.

Step-by-step explanation:

The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.

4.87% of toddlers at home had behavioral problems, according to the parents surveyed.

The Illinois study examined the effect of day care on the behavior of toddlers by surveying randomly selected parents. There were two groups of parents: those with a toddler in full-time day care and those with a toddler at home.

In the first group, 987 parents with a toddler in full-time day care were surveyed. Among these parents, 212 reported that their child had behavioral problems. To calculate the percentage of children with behavioral problems in this group, we can use the following formula:

(212/987) x 100 = 21.48%

In the second group, 349 parents with a toddler at home were surveyed. Among these parents, 17 reported that their child had behavioral problems. To calculate the percentage of children with behavioral problems in this group, we can use the following formula:

(17/349) x 100 = 4.87%

The study found that 21.48% of toddlers in full-time day care had behavioral problems, whereas 4.87% of toddlers at home had behavioral problems, according to the parents surveyed.

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Therefore, each of the 10 braces exerts a force of approximately 6035.25 N.

To calculate the force exerted by each of the 10 braces, we need to consider the horizontal force exerted by the wind and the geometry of the wall and bracing.

Given:

Height of the wall (h) = 17.0 m

Length of the wall (l) = 11.0 m

Number of braces (n) = 10

Horizontal force exerted by the wind (F_w) = 645 N/m^2

First, let's calculate the total area of the wall:

Wall area (A) = h * l = 17.0 m * 11.0 m = 187.0 m^2

Since the net force from the wind acts at a height halfway up the wall, we can consider the force acting on the top half of the wall:

Force on the top half of the wall (F_t) = F_w * (A/2) = 645 N/m^2 * (187.0 m^2 / 2) = 60352.5 N

Next, let's calculate the force exerted by each brace:

Force exerted by each brace (F_brace) = F_t / n = 60352.5 N / 10 = 6035.25 N

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The volume of the solid is (7π/5) cubic units.

We have,

To find the volume of the solid obtained by rotating the region under the curve y = x³ about the line y = -1 over the interval [0,1], we can use the method of cylindrical shells.

Consider an infinitesimally thin vertical strip of width dx at a distance x from the y-axis.

The height of this strip is given by the difference between the curve

y = x³ and the line y = -1.

The height of the strip is (x³ - (-1)) = (x³ + 1).

The circumference of the cylindrical shell is given by 2πx, and the thickness of the shell is dx.

Hence, the volume of the shell is given by dV = 2πx (x³ + 1) dx.

To find the total volume, we integrate this expression over the interval [0,1]:

V = ∫ [0,1] 2πx (x³ + 1) dx.

To find the volume, we evaluate the integral:

V = ∫[0,1] 2πx (x³ + 1) dx

Let's integrate term by term:

V = 2π ∫[0,1] (\(x^4\) + x) dx

Integrating each term separately:

V = 2π [(1/5)\(x^5\) + (1/2)x²} evaluated from 0 to 1

Plugging in the limits:

V = 2π [(1/5)(\(1^5\)) + (1/2)(1²)] - [(1/5)(\(0^5\)) + (1/2)(0²)]

V = 2π [(1/5) + (1/2)] - [0 + 0]

V = 2π (7/10)

V = (14π/10)

Simplifying the fraction:

V = (7π/5)

Therefore,

The volume of the solid is (7π/5) cubic units.

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Answer:

Mr Batista should bring more 82 cups.

Step-by-step explanation:

solve:

→ 514 - 36(12)

→ 514 - 432

→ 82

He needs more 82 cups and did not bring enough.

Answer:If 1200 square inch of material is available to make a box with a square base and no top

Step-by-step explanation:

Answer:

I'm on the same question and I only got

∠2≅∠7 because they are alternate exterior angles

The sum of angle ∠4 and ∠6 is 180°.

as my answers, and I don't know if they're right, but if you are still on it then you can choose one of those.

In order to analyze gender differences in ACT performance, you would calculate the frequency of ACT scores for each gender, as well as the total frequency of ACT scores. So, you would calculate C: frequencies.

This would give you a count of the number of males and females who scored less than 20, 20 up to 25, and 25 and more on the ACT. With this information, you can compare the distribution of ACT scores between males and females, and determine if there are any significant differences in performance between the two groups. This information is commonly represented in a frequency table, which displays the number of observations (or count) for each category of a variable.

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The right answer is B. It is not applicable when data are continuous, is not a characteristic of the standard deviation.

The statement "It is not applicable when data are continuous" is not a characteristic of the standard deviation.

The standard deviation is a measure of the dispersion or variability of a dataset. It quantifies how spread out the values are from the mean. Explanation for other parts are as follows:

A. It can be calculated when the data contain negative or zero values:

This is true. The standard deviation can be calculated for datasets that contain negative or zero values. It considers the deviations from the mean, regardless of their sign.

C. It is always the square root of the variance:

This is true. A quadrilateral with exactly two sets of congruent following sides is called a kite. The variance is the average of the squared deviations from the mean.

D. Its physical interpretation is not as easy as the MAD:

This is a subjective statement. The physical interpretation of the standard deviation depends on the context and the familiarity of the user with the concept. However, it is often considered a more widely used and understood measure of dispersion compared to the Mean Absolute Deviation (MAD).

The statement "It is not applicable when data are continuous" is incorrect. The standard deviation can be calculated for both discrete and continuous data. The other options provided (A, C, and D) correctly describe characteristics of the standard deviation.

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Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

Angles π/2 and 3π/2 and for  0 and π are not in domain of secant function and cosecant function on given interval [0, 2).

The secant function is defined as the reciprocal of the cosine function, which means it is not defined when the cosine function is equal to zero.

In the interval [0, 2), the cosine function is equal to zero at π/2 and 3π/2.

The angles π/2 and 3π/2 are not in the domain of the secant function on the given interval [0, 2).

The cosecant function is defined as the reciprocal of the sine function, which means it is not defined when the sine function is equal to zero.

In the interval [0, 2), the sine function is equal to zero at 0 and π.

The angles 0 and π are not in the domain of the cosecant function on the given interval [0, 2).

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Answer:

Step-by-step explanation:

The local minimum value of a graph is the point where the graph changes from a decreasing function to an increasing function.

Step-by-step explanation:

Distance between two points = √(x2-x1)² + (y2-y1)²

A(4,-2) and B(4,0)

= √(4-4)² + (0+2)²

= √0² + 2²

= √4

= 2j

The total cost of the vegetable seeds is $18.85

We can multiply the cost per package by the number of packets to get the total cost of the vegetable seeds.

There are 13 packages in this case, each costing $1.45 with VAT.

Cost of seeds overall equals Price per packet * Number of packages

Each box costs $1.45.

There are 13 packages total.

$1.45 * 13 is the total cost of the seeds.

We may multiply the price per package ($1.45) by the quantity of packets (13), which will get the total cost:

Total price of seeds: $1.45 multiplied by 13 equals $18.85

It's vital to remember that, as stated in the problem, tax is already included in the pricing per package. Therefore, there is no need to adjust the estimate to account for additional taxes. Given that there are 13 packets and that the price each box is $1.45, we can calculate the total cost by multiplying the number of packages by the price per package.

In order to buy all 13 packages of vegetable seeds, Kevin would need to spend the whole sum shown. In this instance, the overall expense is $18.85.

Include the appropriate unit in your response, which should be "dollars" ($).

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The approximate probability distribution of X−10 has a mean of -9 and a variance of 4. These values are obtained under the assumption of independent and identically distributed observations in the random sample.

1. The approximate probability distribution of X−10 can be characterized by its mean and variance. The mean of X−10 is equal to the mean of X subtracted by 10, which can be calculated as follows. Since X is uniformly distributed between 0 and 2, its mean is (2+0)/2 = 1. Therefore, the mean of X−10 is 1−10 = -9.

2. To calculate the variance of X−10, we make the assumption that the observations in the random sample are independent and identically distributed. Under this assumption, the variance of X−10 can be determined by subtracting 10 from each observation in the sample, calculating the variance of the modified sample, and then summing the individual variances.

3. Since X is uniformly distributed, its variance can be calculated as ((2−0)²)/12 = 1/3. Subtracting 10 from each observation, we obtain a new random variable Y representing the modified sample. The variance of Y is also 1/3. Therefore, the variance of X−10 is (1/3) + (1/3) + ... + (1/3) (12 times) = 4.

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To record the year-end entries for ore deposit depletion and mining machinery depreciation, the following entries should be made:

Ore Deposit Depletion:

Depletion Expense $2,100,000

Accumulated Depletion $2,100,000

Mining Machinery Depreciation:

Depreciation Expense $130,600

Accumulated Depreciation $130,60

Ore Deposit Depletion:

Depletion is the process of allocating the cost of a natural resource, such as an ore deposit, over its useful life. In this case, the company paid $3,268,550 for the ore deposit containing 1,557,000 tons.

To record the ore deposit depletion, the following entry is made:

Depletion Expense $X

Accumulated Depletion $X

The depletion expense is calculated by dividing the total cost of the ore deposit by the total estimated tons of ore. The accumulated depletion account is a contra-asset account that accumulates the depletion expense over time.

Mining Machinery Depreciation:

Depreciation is the process of allocating the cost of a long-term asset, such as machinery, over its useful life. The mining machinery cost $207,600 and is expected to be fully depreciated by the time the ore is completely mined.

To record the mining machinery depreciation, the following entry is made:

Depreciation Expense $Y

Accumulated Depreciation $Y

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Answer:

x=5

Step-by-step explanation:

i hope this helps :)

Step-by-step explanation:

there's the solution ...i hope you can read

a) The volume of the hemisphere is 56.5 cm^3

b) The height of the cone is 3 cm

c) The outer surface area of the shape is 96.5 cm^2

HERE, we want to calculate the given measures

a) The volume of the hemispherical top

To calculate this, we use the formula for the volume of a hemisphere

Mathematically, we have this as follows;

From the question, we have the radius of the hemisphere as 3cm

We have this as;

b) We want to calculate the height of the cone-shaped base

From the question, we are told that the volume of the cone is half that of the hemisphere;

The volume of the cone is thus;

Mathematically, we have the volume of a cone as follows;

Substitute the value of the volume and the value of the r so that we can get the height

We have this as;

c) Here, we want to get the outer surface area of the spinning top and the pieces

Mathematically, we have that as the sum of the area of the hemisphere plus that of the cone

We have that as;

Now, you will notice that we do not use the full area of the cone

This is because we have the hemisphere taking this up already and we only need the surface area of the hemisphere.

We do not find the area of the circular base of the cone

We also can notice the l term in the area of the cone

The l term stands for the slant height of the cone

The slant height can be calculated using the Pythagoras' theorem, with the base of the cone and its height serving as the other sides and the slant height serving as the hypotenuse. The Pytahgoras' theorem states that the square of the hypotenuse (slant height) equals the sum of the squares of the two other sides (base and height of the cone)

So, we have the slant height as;

So applying these to the area formula we deduced above, we have;