At a restaraunt, crabs are sold at $35 for on kilogram. How much does a crab that weighs 950 g cost?

Answer:

0 ≤ t ≤ 18

Step-by-step explanation:

The cost of renting the boat without any discount is $8 per hour. However, Leila has a discount coupon for $3 off, so the effective cost per hour would be $8 - $3 = $5.

Let's assume Leila rents the boat for t hours. The total cost of renting the boat for t hours would be $5 multiplied by t, which is 5t.

According to the problem, Leila wants to spend at most $93. Therefore, we can set up the following inequality:

5t ≤ 93

This inequality represents the condition that the total cost of renting the boat (5t) should be less than or equal to $93.

Simplifying the inequality:

5t ≤ 93

Dividing both sides by 5 (since the coefficient of t is 5):

t ≤ 93/5

t ≤ 18.6

Since we cannot rent the boat for a fraction of an hour, we can round down the decimal value to the nearest whole number:

t ≤ 18

0 ≤ t ≤ 18

Answer: 0≤t≤12

Step-by-step explanation:

(I’m not sure if it’s 5 dollars off per hour, or total, but here’s what I did!)

If Leila has a $3 coupon, than she can spend +$3 because when you get a coupon, you can spend more, so 93+3 is equal to 96, now we just divide by 8 (because a boat costs $8 per hour) and we get 96/8=12.

Then, in inequality form it’s t≤12, because she can rent the boat for at most 12 hours, you could also do 0≤t≤12, because you can’t rent it for a negative amount of time, but either works.

This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55

Answer:

w⁴ + 3w³ + 11w² + 6w + 18

Step-by-step explanation:

Rectanle area = height * width

area = (w²+3w+9)(w² + 2)

        = w²*w² + w²*2 + 3w*w² + 3w*2 + 9*w² + 9*2

        = w⁴ + 2w² + 3w³ + 6w + 9w² + 18

        = w⁴+ 3w³ + (9w²+2w²) + 6w + 18

        = w⁴ + 3w³ + 11w² + 6w + 18

Answer:

w^4 + 3w^3 + 11w^2 + 6w + 18.

Step-by-step explanation:

Area = height * width

= (w^2 + 2)(w^2 + 3w + 9)

= w^2(w^2 + 3w + 9) + 2(w^2 + 3w + 9)

= w^4 + 3w^3 + 9w^2 + 2w^2 + 6w + 18

= w^4 + 3w^3 + 11w^2 + 6w + 18.

9514 1404 393

Answer:

  84.3 square meters

Step-by-step explanation:

A well-known formula for the area of a regular n-gon makes use of the perimeter (P) and the measure of the apothem (a), the distance from the center to one side. The ratio of half the length of one side to the apothem is the tangent of half the central angle of one triangle, so we have ...

  (P/(2n))/a = tan(180°/n)

Then the apothem is ...

  a = P/(2n·tan(180°/n))

The area formula tells you ...

  A = (1/2)Pa

so this would give an area formula for an n-gon of ...

  A = P²/(4n·tan(180°/n))

For a pentagon (n=5) with a perimeter of 35 m, the area is ...

  A = (35 m)²/(4·5·tan(36°)) = 61.25 m²/tan(36°) ≈ 84.3 m²

Answer:for second one

2.02 m² is the area of pentagon.

Answer:

Step-by-step explanation:

Number of students = 120

Number of those prefer hamburgers:

Number of hamburgers ordered:

Step-by-step explanation:

\(\boxed{\begin{array}{c|c|c} \boxed{\bf hamburgers } & \boxed{\bf hot \ dogs } &\boxed{\bf Students } \\ 65\%& (100-65)=35\% & 120 p \\ \end {array }}\)

Each person is given 2 burgers or 2 hot dogs

Then :

120*2*0,65=156  hamburgers

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer: the answer is 49.84 bags but depending on how your teacher wants you to round, it’s either 49 or 50 bags

Step-by-step explanation: 1/12=0.8333333333

54/1.833333333=49.846153

i think the answer ur lookin for is " 16mn+36t  "

hopefully this helps =3

The vertices of triangle XYZ are (-4, 0), (1, -2), and (-2, 1).

We are given that X''(4, 0), Y''(2, -1), and Z''(2, 1). We can use these coordinates to determine the coordinates of the vertices of triangle XYZ.

Starting with X, we have (-y, x) = (4, 0). This implies that y = 0 and x = -4.

Moving on to Y we have (-z, y) = (2, -1). This implies that z = -2 and y = 1.

Finally, for Z, we have (-x, z) = (2, 1). This implies that x = -2 and z = 1.

Therefore, the vertices of triangle XYZ are (-4, 0), (1, -2), and (-2, 1).

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Answer:

$28

Step-by-step explanation:

S = Shirt N = Shoes

N = S + 17

N is equal to 45

45 = S + 17

S = 28

The value of Expected value, variance, and standard deviation of y of given probability distribution is 6.4, 9.76 and 3.12 respectively.

To compute the expected value of y, denoted E(y), we use the formula:

E(y) = Σ [y × f(y)]

Using the given probability distribution, we have:

E(y) = (2 × 0.20) + (4 × 0.30) + (7 × 0.40) + (8 × 0.10) = 1.6 + 1.2 + 2.8 + 0.8 = 6.4

Therefore, the expected value of y is 6.4, rounded to 1 decimal place.

To compute the variance of y, denoted Var(y), we use the formula:

Var(y) = E(y^2) - [E(y)]^2

where E(y) is the expected value of y, and E(y^2) is the expected value of y squared. To find E(y^2), we use the formula:

E(y^2) = Σ [y^2 × f(y)]

Using the given probability distribution:

E(y^2) = (2^2 × 0.20) + (4^2 × 0.30) + (7^2 × 0.40) + (8^2 × 0.10) = 1.6 + 3.6 + 19.6 + 6.4 = 31.2

Substituting this and the previously calculated E(y) into the formula for Var(y), we get:

Var(y) = E(y^2) - [E(y)]^2 = 31.2 - 6.4^2 = 31.2 - 40.96 = 9.76

Therefore, the variance of y is 9.76, rounded to 2 decimal places.

we take the square root of the variance to find the standard deviation:

σ = √Var(y) = √9.76 = 3.12

Therefore, the standard deviation of y is 3.12, rounded to 2 decimal places.

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____The given question is incomplete, the complete question is given below:

The following table provides a probability distribution for the random variable y 2 4 7 f(u) 0.20 0.30 0.40 0.10 8 a. Compute E(y) (to 1 decimal). 5.2 b. Compute Var(y) and ơ (to 2 decimals). Var(y)

Answer:

vertex: -2,1

Step-by-step explanation:

You need to graph it.

Answer:

44

Step-by-step explanation:

10 x 3 = 30

8 + 6 =14

30 + 14 = 44

Answer:

110ft²

Step-by-step explanation:

Area of figure=(10×8)+(1/2×6×8)

=80+24

=112 ft²

=110 ft² (to nearest tenth)

The size of the population after 3 months is approximately 129.3.

(a) Here's how to derive the formula for the population size after t months, given that the population is 5000 at t=0:

                               P'(t) = 200te^{-5t^2}P(t) = ∫P'(t) dt + C; (C is the constant of integration)

                      \(P(t) = ∫200te^{-5t^2} dt + CP(t) = -\frac{40}\)

    \({\sqrt{5\pi}}e^{-5t^2} + CP(0) = 5000;\)

since population is 5000 at t=0, we can substitute that into the formula above to get

                          \(5000 = -\frac{40}{\sqrt{5\pi}}e^{0} + C5000\)

               = \(= -\frac{40}{\sqrt{5\pi}} + C5000 + \frac{40}{\sqrt{5\pi}}\)

      = \(= CC = \frac{50000}{\sqrt{5\pi}}\)

Substitute C = \frac{50000}{\sqrt{5\pi}} into the formula for P(t) above:

                 \(P(t) = -\frac{40}{\sqrt{5\pi}}e^{-5t^2} + \frac{50000}{\sqrt{5\pi}}\)

(a) \(P(t) = -\frac{40}{\sqrt{5\pi}}e^{-5t^2} + \frac{50000}{\sqrt{5\pi}}\)

(b) To find the size of the population after 3 months, substitute t = 3 into the formula derived in part (a):

                      \(P(3) = -\frac{40}{\sqrt{5\pi}}e^{-5(3^2)} + \frac{50000}{\sqrt{5\pi}}\)

                 \(P(3) = -\frac{40}{\sqrt{5\pi}}e^{-45} + \frac{50000}{\sqrt{5\pi}}P(3) ≈ 129.3 (rounded off to one decimal place).\)

Thus, the size of the population after 3 months is approximately 129.3.

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The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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Solution

- The formula for finding the integral of a function using the trapezoidal rule is:

- Applying the formula, we have:

- Thus, we can find the Integral as follows:

Final Answer

The integral is 5.9

The p-value for the given mentioned test, with the test static of -2.01  is calculated out to be  0.0456.

To calculate the p-value for this test, we first need to determine the appropriate null and alternative hypotheses.

Null hypothesis: The proportion of customers who wait longer than 5 minutes at the drive-through for this franchise is equal to the national value of 12%.

Alternative hypothesis: The proportion of customers who wait longer than 5 minutes at the drive-through for this franchise differs from the national value of 12%.

We can use a two-tailed Z-test to test this hypothesis, with a significance level of alpha = 0.05.

The test statistic is given as -2.01. Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that is at least as extreme as the test statistic.

Using a standard normal distribution table or a calculator, we find that the area to the left of -2.01 is 0.0228. The area to the right of 2.01 is also 0.0228. Therefore, the total p-value is the sum of these two probabilities:

p-value = 0.0228 + 0.0228 = 0.0456

Therefore, the p-value for this test is 0.0456. This means that there is a 4.56% chance of obtaining a test statistic as extreme as -2.01, assuming that the null hypothesis is true. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the proportion of customers who wait longer than 5 minutes at the drive-through for this franchise differs from the national value of 12%.

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Answer:

$8.00 per shirt

Step-by-step explanation:

32 ÷ 4 = 8

Answer:

Domain:(−∞,∞),{x|x∈R}  

Range:(−∞,∞),{y|y∈R}

Step-by-step explanation:

Answer:

Scale factor is + 1/3, centre (0,0)

Step-by-step explanation:

If you count squares(length) from D to E in the big triangle it is 6 and in small triangle it is 2

6/2 = 3

So small triangle is 1/3 of the big triangle

The simplified form of the given expression is 23/72.

By considering the given expression

7/8+(−2/3)(5/6)

= 7/8-10/18

=7/8-5/9

=(63-40)/72

=23/72

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Calculated Expression. A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

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Answer:

D

Step-by-step explanation:

(d) all of the above. All of the statements listed are true about functions. A function is a set of points (x,y) such that every x-value has one y-value (for every input there is one output). This means that for each value of x, there is only one corresponding value of y. Functions can also be represented as an equation in terms of x and y, and when graphed, they pass the vertical line test, which means that if a vertical line is drawn on the graph and it intersects the graph in more than one point, the graph is not a function.

Answer: D

Step-by-step explanation:

If every X value has only 1 Y value then it will pass the vertical line test so that checks out both a and b

c- we can represent all functions in terms of x and y

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

It is either 1 1/4c or 5/4c when the expression created in Part B with a fractional coefficient.

In mathematics, numerical coefficients and literal coefficients are the two main types of coefficients that are used. Both a numerical and literal coefficient: The number being multiplied by the variable is the numerical coefficient (s).

It is not advisable to utilize fractions as stoichiometric coefficients. Every stoichiometric coefficient must be multiplied by the denominator whenever there is a fraction in order to get whole values and keep the mole ratio constant.

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Optically active compounds can rotate plane-polarized light in

A - Clockwise rotation

B - Counterclockwise rotation

C - Dextrorotatory

D - Levorotatory

Optically active compounds can rotate the plane of polarization of light, which can be either clockwise or counterclockwise. The direction of rotation is usually expressed as either dextrorotatory (abbreviated as +) or levorotatory (abbreviated as -), depending on whether the compound rotates the plane of polarization to the right or left, respectively.

For example, a compound that rotates the plane of polarization to the right (clockwise) is said to be dextrorotatory (+), while a compound that rotates the plane of polarization to the left (counterclockwise) is said to be levorotatory (-).

Therefore, A corresponds to clockwise rotation, B corresponds to counterclockwise rotation, C corresponds to dextrorotatory, and D corresponds to levorotatory.

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Answer:

Direct proportional graphs do not need to start from the origin.

Step-by-step explanation:

Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.

Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).  

As a proof, the attached screenshot shows the graph of three equations of direct variations.  The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.

The angle between the two vectors (4,1) and (-8,3) will be 145.4°.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

It is possible to calculate the angle () between two vectors using the formula

\(\rm \theta = cos ^{-1} \frac{ (a.b)}{|a||b|}\)

Calculate dot product:

=a · b

= ax · bx + ay · by

= 4 · (-8) + 1 · 3

= - 32 + 3

= -29

=|a|

= √ax² + ay²

= √4² + 1²

= √16 + 1

= √17

=|b|

=√ bx² + by²

= √(-8)² + 3²

= √64 + 9

= √73

\(\rm \alpha = cos ^{-1} \frac{ (a.b)}{|a||b|}\)

α = 145.40771131249005°

Thus, the angle between the two vectors (4,1) and (-8,3) will be 145.4°.

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Answer:

27 more

Step-by-step explanation:

k