Forty students went on a trip on Wednesday. On Thursday, 15% less students went on a similar trip. How many students went on the trip on Thursday?

Answer:

15.3846% Percentage Discount

Step-by-step explanation:

Using formula,

⟼ \( \sf Percentage\: Discount = \frac{Starting \:Value - Final\: Value}{Starting \:Value} × 100 \)

⟼\( \sf \: \frac{65 - 55}{65} \times 100\)

Substract 55 from 65

⟼ \( \sf \: \frac{10}{65} \times 100\)

Divide 10 by 65

⟼ \( \sf \: 0.153846 \times 100\)

Multiply

⟼ \( \sf \: 15.384\)%

If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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Answer:

I believe you have multiply then add

Answer:

45.4

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

You use order of operations and multiply 18 and 2.3 first

4 plus 41.4

45.4

Answer:

\((13,-23)\)

Step-by-step explanation:

Given

Translation: \((x,y) -> (x-4,y+15)\)

Required

Determine the pre-image of (9,-8)

In (9,8)

\(x = 9\) and \(y = -8\)

So:

\((x,y) -> (x-4,y+15)\)

Becomes

\((9,8) ->(x-4,y+15)\)

By comparison:

\(x - 4 = 9\)

\(y + 15 = 8\)

Solving for (x):

\(x - 4 = 9\)

\(x = 9 + 4\)

\(x = 13\)

Solving for (y):

\(y + 15 = -8\)

\(y = -8 - 15\)

\(y = -23\)

Hence, the pre -image has a coordinate of \((13,-23)\)

Answer:

Read it and do your best

Step-by-step explanation:

the constraints for the variables is 2

The required inequality is given as 3x + 4y ≤ 900.

Given that,
The baseball team plans to sell tins of popcorn and peanuts. The players have $900 to spend on products and can order up to 200 tins. They want to order at least as many tins of popcorn as tins of peanuts. A tin of popcorn costs $3, and a tin of peanuts costs $4.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Let, the number of pop-corn tin be x and the number of peanuts tin be y,
According to the question,
Cost of the x tin of popcorn = 3x
Cost of the y tine of peanuts = 4y
Now the sum of the cost of popcorn and peanuts must no exceed $900,
So
3x + 4y ≤ 900

Thus, the required inequality is given as 3x + 4y ≤ 900.

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All the evaluations of f(x) and g(x) are:

We have the functions:

f(x) = 2x² + x - 3

g(x) = (2x - 1)/3

Let's evaluate the functions in the given values, to do so, just replace the x by the correspondent value.

a) f(0):

f(x) = 2x² + x - 3

f(0) = 2(0)² + (0) - 3

f(0) = 0 + 0 - 3

f(0) = -3

b) g(0):

g(x) = (2x - 1)/3

g(0) = (2(0) - 1)/3

g(0) = (0 - 1)/3

g(0) = -1/3

c) f(-2):

f(x) = 2x² + x - 3

f(-2) = 2(-2)² + (-2) - 3

f(-2) = 2(4) - 2 - 3

f(-2) = 8 - 2 - 3

f(-2) = 3

d) g(5):

g(x) = (2x - 1)/3

g(5) = (2(5) - 1)/3

g(5) = (10 - 1)/3

g(5) = 9/3

g(5) = 3

e) f(-(2/3)):

f(x) = 2x² + x - 3

f(-(2/3)) = 2(-(2/3))² + (-(2/3)) - 3

f(-(2/3)) = 2(4/9) - 2/3 - 3

f(-(2/3)) = 8/9 - 2/3 - 3

f(-(2/3)) = 8/9 - 6/9 - 27/9

f(-(2/3)) = (8 - 6 - 27)/9

f(-(2/3)) = -25/9

f) g(7/2):

g(x) = (2x - 1)/3

g(7/2) = (2(7/2) - 1)/3

g(7/2) = (14/2 - 1)/3

g(7/2) = (13/2)/3

g(7/2) = 13/6

g) f(3):

f(x) = 2x² + x - 3

f(3) = 2(3)² + 3 - 3

f(3) = 2(9) + 3 - 3

f(3) = 18 + 3 - 3

f(3) = 18

h) g(-7):

g(x) = (2x - 1)/3

g(-7) = (2(-7) - 1)/3

g(-7) = (-14 - 1)/3

g(-7) = -15/3

g(-7) = -5

i) f(1/2):

f(x) = 2x² + x - 3

f(1/2) = 2(1/2)² + (1/2) - 3

f(1/2) = 2(1/4) + 1/2 - 3

f(1/2) = 1/2 + 1/2 - 3

f(1/2) = 1 - 3

f(1/2) = -2

j) g(-1/2):

g(-1/2) = (2*(-1/2) - 1)/3

g(-1/2)  = (-1 - 1)/3 = -2/3

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Answer:

D

Step-by-step explanation:

   (1/3) / 8

= (1/3) * (1/8)

=1/24

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

what we know=

x is the independent variable and y is the dependent variable.

our co-ordinates can be expressed in the form of (x value, y value).

so... we only need two points for this so let's just list two points so it goes faster

A(-7,5)

B(-1,65)

alright, now we have two points. we're trying to find the rate of change, which in other words, is the slope.

m=(y-y1)/(x-x1) <-- plug in our points.

m=(65-5)/(-1-(-7)

m=60/(-1+7)

m=60/6

m=10

therefore the rate of change aka the slope of this table of values is 10.

The congruent angles of an isosceles right triangle measure is 45° each.

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Answer:

0.73

Step-by-step explanation:

3 2/5 = 17/5, 2 2/3 = 8/3

17/5 - 8/3

3/3 x 17/5 = 51/15

5/5 x 8/3 = 40/15

51/15 - 40/15 = 11/15

11/15= 0.73

Answer:

the answer is 200 .

Step-by-step explanation:

taking the test . hope this helps!!!!

Yarin can expect a $200 refund which is correct option (A).

Income tax.

Gift tax.

Estate tax.

The differences between state and federal taxes as state taxes are collected by individual state governments to pay their unique state bills, as opposed to federal income taxes, which are collected by the federal government to pay for its expenses.

Given data as :

Yarin's gross pay for the year was $3,500.

The federal income tax withholding from his pay was 9% of his gross pay.

=   9% of 3,500

=   (9/100)(3,500)

= 0.09(3,500)

= $315

Yarin determined the federal income tax he owes is $115.

Refund expected = $(315-115)

Refund expected = $200

Hence, Yarin can expect a $200 refund.

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Explanation:

A relation is a function if and only if for each value of x there's only one value of y. In other words, if we find one value of x more than once, the relation is not a function.

Relation A is not a function because x = 2 shows up twice: (2, 5) and (2, 7)

Relation C is not a function because x = 1 shows up three times: (1, 3), (1, 5) and (1, 7)

Relation E is not a function because x = 2 shows up twice: (2, 5) and (2, 1)

Relations B and D have only one time each value of x

Answers:

The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.

Moreover, the study fails to account for extraneous variables that might affect the results. Therefore,  that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.

The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.

Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.

Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.

Therefore, the  textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.

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perimeter = sum of all sides

27 = 9+7.8+x

x (third side) = 10.2

Answer:

10.2cm

Step-by-step explanation:

9+7.8= 16.8cm

27-16.8= 10.2 cm

Answer:

4

Step-by-step explanation:

9-5=4

Answer:

4

Step-by-step explanation:

9-5 is 4

Answer:

Correct choice: D.

\(y+4=4(x+3)\)

Step-by-step explanation:

The point-slope form of the equation of a line is:

\(y-k=m(x-h)\)

Where m is the slope and (h,k) is a point through which the line passes.

According to the question, the slope of a line is m=4 and it contains the point (-3,-4), thus, replacing the values:

\(y-(-4)=4(x-(-3))\)

Operating:

\(\boxed{y+4=4(x+3)}\)

Correct choice: D.

Mr Jones have to drive 270 miles to get to his home

The question is a percentage problem, percentage deals with a fraction hundred and used to solve the problem

From the equation 180 miles represents 40% of the journey

let the total journey be x, hence we say

0.4x = 180

x = 180 / 0.4

x = 450 miles

Then the 60% left is calculated

60% of 450

= 0.6 * 450

= 270 miles

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The outward flux of ⁻F across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant is 6π.

To find the outward flux, we need to evaluate the surface integral of the vector field ⁻F over the given surface. The surface consists of the curved part of the cylinder and the plane in the first octant. We can parameterize the surface using cylindrical coordinates as follows:

x = ρcosθ

y = ρsinθ

z = z

The normal vector to the surface is given by n = ∇r, where r is the position vector of the surface. The outward flux is then given by the surface integral ∬S ⁻F · n dS.

Considering the cylindrical surface S1: ρ = 2, and the plane S2: x = z + 2, we can rewrite the surface integral as a double integral over the cylindrical surface in terms of ρ and θ:

∬S1 ⁻F · n dS + ∬S2 ⁻F · n dS

Using the parametric equations and the normal vector, we can calculate ⁻F · n for each surface:

For S1, ⁻F · n = ⁻F · (∇r) = ⁻F · (∂ρ/∂x, ∂ρ/∂y, ∂ρ/∂z)

             = (2xy)(∂ρ/∂x) + (2xy)(∂ρ/∂y) + (2xz + y - y²)(∂ρ/∂z)

For S2, ⁻F · n = ⁻F · (∇r) = ⁻F · (∂x/∂x, ∂x/∂y, ∂x/∂z)

             = (2xy)(∂x/∂x) + (2xy)(∂x/∂y) + (2xz + y - y²)(∂x/∂z)

Evaluating these dot products and performing the double integrals, we find the outward flux to be 6π.

The outward flux of the vector field ⁻F across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant is 6π. This result indicates the net flow of the vector field outward through the surface.

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Answer:

A. unbiased estimator.

Step-by-step explanation:

In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.

A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.

An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.

Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; \(E(b) - p\)

Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).

Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.

Answer: B statistic

Step-by-step explanation:

it just is trust me

Answer:  9,600 ft

Step-by-step explanation:

10,000 - 400= 9600

In summary, the equation for the tangent plane can be written as z - z0 = ∂f/∂x(x0, y0)(x - x0) + ∂f/∂y(x0, y0)(y - y0), where (x0, y0, z0) represents the coordinates of the given point. This equation represents a linear approximation of the surface near the point of tangency.

To understand the equation for the tangent plane, we start by considering the first-order partial derivatives of the function f(x, y) with respect to x and y. These partial derivatives, denoted as ∂f/∂x and ∂f/∂y, represent the rates of change of the surface with respect to x and y, respectively. At the point (x0, y0), the tangent plane approximates the behavior of the surface near that point.

The equation for the tangent plane is derived by using the point-slope form of a linear equation, where the slope of the plane in the x-direction is given by ∂f/∂x(x0, y0) and in the y-direction by ∂f/∂y(x0, y0). The equation is then written as z - z0 = ∂f/∂x(x0, y0)(x - x0) + ∂f/∂y(x0, y0)(y - y0), which relates the changes in x and y coordinates to the change in z-coordinate on the tangent plane.

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The result when the number 31 is increased by 8% and rounded to the nearest tenth is 33.5.

To find the result when the number 31 is increased by 8%, we can calculate 8% of 31 and add it to 31.

8% of 31 can be found by multiplying 31 by 0.08:

8% of 31 = 31 * 0.08 = 2.48

Now, we add this result to 31:

31 + 2.48 = 33.48

Rounding this answer to the nearest tenth, we get:

33.5

Therefore, the result when the number 31 is increased by 8% and rounded to the nearest tenth is 33.5.

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Answer:

G. 477.75

Step-by-step explanation:

a. Multi-factor productivity in November: 0.231 b. Multi-factor productivity in December: 0.203 c. Percentage of productivity change: -12.12% d. Predicted impact on profits: It experience reduced profitability.

a. To calculate the multi-factor productivity in November, we use the formula:Multi-factor productivity = Output / (Labor cost + Material cost + Overhead costs). In November:

Output = Orders fulfilled = 3537

Labor cost = $9800

Material cost = $3500

Overhead costs = $2000

Multi-factor productivity = 3537 / (9800 + 3500 + 2000) = 3537 / 15300 ≈ 0.231

b. To calculate the multi-factor productivity in December, we use the same formula:In December:

Output = Orders fulfilled = 2945

Labor cost = $9000

Material cost = $3500

Overhead costs = $2000

Multi-factor productivity = 2945 / (9000 + 3500 + 2000) = 2945 / 14500 ≈ 0.203. The productivity has decreased from November to December.

c. The percentage of productivity change can be calculated using the formula: Percentage of productivity change = ((New productivity - Old productivity) / Old productivity) * 100

Percentage of productivity change = ((0.203 - 0.231) / 0.231) * 100 ≈ -12.12%. The productivity has decreased by approximately 12.12%.

d. Since the productivity has decreased and the price of the food remains unchanged, it suggests that the costs have increased relative to the output. This can have a negative impact on the profits of Hotdog Palace. With higher labor costs and potentially lower productivity, the company may experience reduced profitability unless it takes measures to address the labor shortage and improve productivity.

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

168 unlimited-ride passes.

Step-by-step explanation:

50x+20y=10680

x+y=282

Multiply.

20(x+y=282)

20x+20y=5640

Subtract.

50x-20x+20y-20y=10680-5640.

30x=5040

x=168

Hope this helps plz hit the crown :D

It's C, I took the test and got it right.

Answer:

275.1 I'm so sorry if it is wrong dont come at me please