Jeremiah works five days a week if she earns 225 a day how much does he earn per week

As per the double integral, the flux of the vector is 2√11(6z + 1) + 176

What is double integral small definition?

In math, Double integrals are used to find the flux of a vector field through a given surface S and find the normal to the given surface and equations of the surface to find the limits of integration.

And it is calculate by the formula as Flux= ∫∫F⋅ndS

Here we have given that S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward.

And we need to find the the flux of the vector field F = 1i + 1j + 3k across the surface S.

As per the formula of flux of vector, it can be written as,

=>Flux =  ∫∫(1i + 1j + 3k) . 2 dS

When we integrate this one the we get,

=> Flux = 2√11(6z + 1) + 176

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Answer:

C. y = 30x + 130    D. 5 people  Q3. The 1st number is 25

     y = 20x +180                                 The 2cnd number is 7

Step-by-step explanation:

C. The x represents the amount of people attending.

     30 and 20 are the price per person.

D. 30 x 5 + 130 = 280

    20 x 5 = 180 = 280

Q3. 32 + 18 = 50

50/2 = 25

25 + y = 32

y = 32 - 25

y = 7

hope this helps =)

y = 30x + 130 and y = 20x + 180 is the  system of equations that represents the model and The two numbers are 25 and 7 in second question.

Two or more expressions with an Equal sign is called as Equation.

Let y represents the total cost of the party, and x represents the number of the people attending the party.

The hockey suite costs $130 to rent the room and $30 per person.

y=130+30x

The basketball suite costs $180 to rent the room and $20 per person.

y=180+20x

So option c is correct and

If there was going to be a total of 4 people attending the party,

y=130+30(4)=250

y=180+20(4)=260

basket ball is most cost efficient.

If there was an amount of people that could attend the party so that both games would cost the same

130+30x=180+20x

10x=50

x=5

So 5 people could attend the party.

The sum of two numbers is 32

The difference is 18

x+y=32

x-y=18

x+y+x-y=32+18

2x=50

Divide both sides by 2

x=25

y=7

The two numbers are 25 and 7.

Hence, y = 30x + 130 and y = 20x + 180 is the  system of equations that represents the model and The two numbers are 25 and 7 in second question.

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The best explanation for the discrepancy is the small sample size used in the experiment, which led to a limited number of occurrences of the number 1 and caused the experimental probability to be half the theoretical probability.

The given information states that the theoretical probability of the tetrahedron landing on the number 1 is p(theoretical) = x, where x represents the probability value. We are also given that the experimental probability of landing on 1 is half the theoretical probability, so the experimental probability is p(experimental) = 0.5 * x.

To analyze the discrepancy between the experimental and theoretical probabilities, we can compare the experimental results with the expected results based on the theoretical probability.

Out of the 8 tosses, the number 1 was observed only once. Since the tetrahedron has 4 faces labeled 1, the expected number of times it should land on 1 in 8 tosses, based on the theoretical probability, is 8 * x.

The experimental result of 1 occurrence is significantly different from the expected result of 8 * x occurrences. This discrepancy can be attributed to the small sample size of the experiment. With only 8 tosses, it is possible to observe deviations from the expected probabilities due to random variation.

In other words, the experimental results are subject to random fluctuations, and in this case, the small sample size resulted in a deviation from the expected theoretical probabilities. As the number of tosses increases, the experimental results tend to converge to the theoretical probabilities.

Therefore, the best explanation for the discrepancy is the small sample size used in the experiment, which led to a limited number of occurrences of the number 1 and caused the experimental probability to be half the theoretical probability.

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Answer:

8

Step-by-step explanation:

The point of turn or angle of rotation of 360° is a point of rotational symmetry for all figures. Therefore, the correct answer is option number 4.

This indicates that the figure will appear identical to its original form when it is rotated 360 degrees around its center point. At the end of the day, the figure will have a similar direction as it had before the turn. In geometry, this property is frequently used to identify shapes with rotational symmetry and to create repeating patterns and designs.

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Complete Question:

which angle of rotation is an angle of rotational symmetry for all figures? 45°

90°

180°

360°

5 laps

400 meters each lap.

So, to answer this we have to multiply the number of laps by the length of each lap:

400 m x 5 = 2,000 meters

Then we have to convert into kilometers.

Since 1 km= 1000 meters

We have to divide the value in meters by 1000:

2,000 / 1,000 = 2 km

2 kilometers

Answer:

5 laps x 400m = 2000m = 2km

answer is 2 kilometres

Step-by-step explanation:

Answer:

Fantasia's family's car is more fuel-efficient.

Step-by-step explanation:

Given that, Tiyleah's family's car is getting 40 miles per gallon, and Fantasia's family's car uses 7 liters per 150 km.

The comparison can be done by observing the distance traveled by the cars in an equal amount of fuel. The car which covers more distance in an equal amount of fuel is more fuel-efficient.

First, convert the given units to have the same unit of measurement,

As 1 gallon =3.7854 liters and 1 mile = 1.609344 km

So, 40 miles =40 x 1.61=64.40 km

Now, The distance covered by Tiyleah's family's car is 64.40 km in 3.7854 liters.

So, the distance covered by Tiyleah's family's car in 1 liter of fuel is \(\frac{64.40}{3.7854}=17.01\) km

In a similar way,

As Fantasia's family's car uses 7 liters per 150 km.

So, the distance traveled by Fantasia's family's car in 1 liter of fuel =150/7=21.43 km

Observe that, in 1 liter of fuel, Tyleah's family's car covered 17.01 km while Fantasia's family's car covered 21.43 km which is more.

Hence, Fantasia's family's car is more fuel-efficient.

Answer:

9.3 ft

Step-by-step explanation:

The set that contains all the roots of the polynomial is given by:

C. {-3/2, 0,1}

They are the values of x for which F(x) = 0.

In this problem, the polynomial is given by:

F(x) = 2x³ + x² - 3x.

Hence:

2x³ + x² - 3x = 0.

2x(x² + 0.5x - 1.5) = 0.

2x = 0 -> x = 0.

x² + 0.5x - 1.5 = 0 -> (x + 1.5)(x - 1) = 0.

Then, this means that the other two roots are:

Hence the correct option is:

C. {-3/2, 0,1}

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Answer:

Step-by-step explanation:

it xhkr pls

Answer:

sove for all possible values of

Answer:

c

Step-by-step explanation:

Answer:

Circumference ≈ 3.142 cm

Step-by-step explanation:

≈ basically means that it's an approximate value.

The formula to find the circumference of a circle is:

Circumference = 2πr

The diameter is given, but we can find the radius by halving the diameter.

radius = \(\frac{d}{2} \) = \(\frac{1}{2} \) = 0.5 cm

Now that we know the radius, we can add the radius into the formula and find the circumference.

Circumference = 2 × π × 0.5

Circumference = π × 1

Circumference ≈ 3.142 cm

Answer:

x= -1 is the option a

answer

Answer: false

Step-by-step explanation:

Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

Answer:    Multiply to remove the fraction, then set equal to  

0

and solve.

Exact Form:

X  =  18 /17

Decimal Form:

X  =  1.05882352 …

Mixed Number Form:

X  =  1 1 /17

2

17

=

X

9

what does  

x

equal??

Multiply both sides of the equation by  

9

.

2

17

⋅

9

=

X

9

⋅

9

Simplify.

Tap for more steps...

18 /17  =  X

Rewrite the equation as  

X  =  18 /17 .

X  =  18 /17

The result can be shown in multiple forms.

Exact Form:

X  =  18 /17

Decimal Form:

X  =  1.05882352 …

Mixed Number Form:

X  =  1   1 /17

Step-by-step explanation:

2/17=X/9

what does x equal??

When the sample size increases from 6 to 49, the standard deviation of the sample mean decreases from 1.43 to 0.5.

The standard deviation of the sample mean changes when the sample size is increased from n = 6 to n = 49 by following the formula for the standard deviation of the sample mean:

Standard deviation of the sample mean = σ / √n

where σ is the population standard deviation and n is the sample size.

First, let's calculate the standard deviation of the sample mean for n = 6:

Standard deviation of the sample mean (n = 6) = 3.5 / √6 ≈ 1.43 psi

Now, let's calculate the standard deviation of the sample mean for n = 49:

Standard deviation of the sample mean (n = 49) = 3.5 / √49 ≈ 0.5 psi

So, the standard deviation of the sample mean has decreased from 1.43 psi to 0.5 psi when the sample size is increased from n = 6 to n = 49.

Note: The question is incomplete. The complete question probably is: A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. how is the standard deviation of the sample mean changed when the sample size is increased from n = 6 to n = 49?

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Answer: {y | −5 ≤ y ≤ −1}

Step-by-step explanation:

The extreme values are -5 and -1.

So, the answer is {y | −5 ≤ y ≤ −1}.

Assuming the critical F-value is F_critical = 2.18, we can compare it with the calculated F-value at a significance level 0.025.

To test the claim that with a single line, waiting times vary less than with individual lines, we can use a hypothesis test. The null hypothesis (H0) assumes that there is no significant difference in the variability of waiting times between the two systems, while the alternative hypothesis (H1) suggests that the waiting times with a single line have less variability.

Let's define our hypotheses:

H0: σ1 ≥ σ2 (The waiting times with a single line have equal or greater variability than with individual lines)

H1: σ1 < σ2 (The waiting times with a single line have less variability than with individual lines)

We will use a two-sample F-test to compare the variances of the two samples. The F-test statistic is calculated as:

F = s₁² / s₂²

where s1 and s2 are the sample standard deviations for the waiting times of the two systems.

First, let's calculate the F-test statistic:

s₁ = 5.7 (standard deviation for waiting times with individual lines)

s₂ = 4.9 (standard deviation for waiting times with a single line)

F = (5.7²) / (4.9²) = 1.356

Next, we need to determine the critical value for the F-test at a significance level of 0.025 and degrees of freedom (df1, df2) based on the sample sizes of both systems. Since we don't have the sample sizes provided, we cannot calculate the exact degrees of freedom. However, assuming large enough sample sizes, we can approximate the degrees of freedom as n₁ - 1 and n₂ - 1, where n₁ and n₂ are the sample sizes.

Given that the sample size for the waiting times with a single line is 29 (n₂ = 29), we don't have the information about the sample size for waiting times with individual lines (n₁).

Assuming n₁ is also large enough, we can use the sample size of 29 as an approximation for both sample sizes.

Using statistical software or tables, we can determine the critical F-value with df₁ = n₁ - 1 = 29 - 1 = 28 and df₂ = n₂ - 1 = 29 - 1 = 28 at a significance level of 0.025.

Assuming the critical F-value is F_critical = 2.18, we can compare it with the calculated F-value.

If the calculated F-value is less than the critical F-value (F < F_critical), we reject the null hypothesis in favor of the alternative hypothesis, indicating that the waiting times with a single line have less variability.

If the calculated F-value is greater than or equal to the critical F-value (F ≥ F_critical), we fail to reject the null hypothesis, suggesting that there is not enough evidence to support the claim that the waiting times with a single line have less variability.

Additionally, the critical F-value used in this example is an approximation and may not reflect the actual critical value for the given degrees of freedom.

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Answer:

A

Have a great day!

Answer:

a, a graph is reflected over the x axis when the leading coefficient is negative

Answer:

1

Step-by-step explanation:

The cost function to manufacture a product is f(x,y) = √x + √y, where x and y represent variables. The domain of this function includes all points (x,y) in the xy-plane where x ≥ 0 and y ≥ 0.

The cost function given is f(x,y) = √x + √y, where x and y represent the variables. To determine the domain of this function, we need to consider the restrictions imposed on x and y. The square root function is defined for non-negative values, so both x and y must be greater than or equal to zero. Additionally, the cost function is applicable to the xy-plane, so it encompasses all possible points (x,y) in this plane. Therefore, the domain of f(x,y) is the set of all points (x,y) in the xy-plane where x ≥ 0 and y ≥ 0. Any other points outside this region, such as where y > 0 or x > 0, are not included in the domain of the function.

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The angle between the two planes with normals 1=⟨1,0,1⟩ and 2=⟨8,9,5⟩ is approximately 32.9 degrees.

To find the angle between two planes with normal vectors, we can take the dot product of the two vectors and divide it by the product of their magnitudes. The result of this calculation gives us the cosine of the angle between the planes.

Taking the inverse cosine of this value gives us the angle in radians, which can then be converted to degrees. In this case, the normal vectors are 1=⟨1,0,1⟩ and 2=⟨8,9,5⟩, and the angle between their corresponding planes is approximately 32.9 degrees.

Understanding the dot product and its applications is essential in many areas of mathematics and physics, as it allows us to solve problems related to angles, distances, and projections.

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The quotient of 3/4 and 5/6, expressed in its simplest form, is 9/10 .To find the quotient of fractions, we need to divide the numerator of one fraction by the denominator of the other fraction.

To simplify the process, we can convert the division into multiplication by taking the reciprocal of the second fraction. The reciprocal of a fraction is obtained by interchanging the numerator and the denominator. So, the reciprocal of 5/6 is 6/5.

Now, we can multiply the fractions:

3/4 * 6/5 = (3*6)/(4*5) = 18/20

However, we need to simplify the fraction to its simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, which is the largest number that divides both without leaving a remainder. In this case, the GCD of 18 and 20 is 2.

By dividing both the numerator and denominator of 18/20 by 2, we get the simplest form of the fraction:

18/20 ÷ 2/2 = 9/10

The quotient of 3/4 and 5/6, expressed in its simplest form, is 9/10.

It's important to note that simplifying fractions involves dividing both the numerator and denominator by their greatest common divisor. This ensures that the fraction is in its simplest form, where the numerator and denominator have no common factors other than 1.

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The perimeter of the triangle which has a bisector that splits a triangle into 6 sides would be = 47½

A bisector is defined as the line that divides a shape into two equal parts.

The perimeter of triangle is the sum total of all the sides of the triangle. That is;

perimeter = a1 + a2 + b1 + b2 + c1 + c2

But the value of only 3 sides which is exactly half of the perimeter where given;

= 11/3+22/3+153/12

= 44+ 88+ 153/12

= 285/12

Therefore perimeter

= 285/12 + 285/12

= 570/12

= 47½

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