which of the following statements is a proposition? (a) get me a glass of milk (b) god bless you! (c) what is the time now? (d) the only odd prime number is 2

Given, there are hotdogs and sodas as items. Each hotdog costs twice the cost of soda.

Let's assume the cost of soda is x dollars. Then, the cost of a hotdog would be 2x dollars. Then, h hotdogs cost 2xh dollars, and simultaneously, s sodas cost xs dollars.

Given, the vendor takes a total of d dollars, then

d = 2xh + xs

Therefore, if the price of a soda is x dollars, then

x = \(\frac{d}{2h + s}\) dollars

And also, since 1 dollar is 100 cents, therefore, 1 cent would be 0.01 dollars.

So finally, x, the price of a soda in cents would be

x = \(100(\frac{d}{2h+s})\) cents

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Answer:

(1.) 148 (2.) 42 (3.) $72?

Step-by-step explanation:

(1) 37 X 4 = 148

(2) 21 X 2 = 42

(3) it was confusing so i just added it all up

hope this helps and i hope i got number 3 right hehe

Answer:

16

Step-by-step explanation:

number of terms=7

Q1=1/4 (7+1)=2nd term=28

Q3=3/4(7+1)=6th term=44

IQR=Q3-Q1=44-28=16

Answer:it would be 3 1/4 pounds of blueberries

Step-by-step explanation:

Answer:

B

A

D

C

Step-by-step explanation:

Answer:

All of them?

Step-by-step explanation:

The number of fewer people living in Todsham in 6 years compared with now, found using the formula for population growth rate, is about 79,500 people

The formula for finding the population of a town after a specified number of years, where the rate of change of the population, and the number of people in the town are known can be presented as follows;

P = A·(1 - r)ˣ

Where;

P = The current population of the town = The population after the indicated duration

A = The initial population of the town = 300,000

r = The population growth rate = 5%

The population after 6 years is therefore;

P = 300,000 × (1 - 0.05)⁶ ≈ 220,527

The number of fewer people living in Todsam in 6 years = 300,000 - 220,527 = 79473 ≈ 79,500

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Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer:

(a)9×3=37' 97 and 8 are factors of 37

Answer: No triangles  

Step-by-step explanation: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Which is why 3,4, and 8 do not make a triangle, hope this helped!!

Answer:

34

Here's Why:

8w - 2v = ?

8(5) - 2(3) = ?

40 - 6 = 34

Hope this helps!

Answer:

-8 > 8

Step-by-step explanation:

You find one that is less and one that is greater

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Answer:

-2/7 is 3 and -6 is 2

Step-by-step explanation:

to make a slope perpendicular, you need to swap the numerator and denominator and multiply by negative so - becomes + and + becomes -

Answer:

-2/7 is 3 and -6 is 2

Step-by-step explanation:

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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The three properties of parallel lines are transitive property of parallel lines, symmetric properties of parallel lines and properties cut by transversal.

Properties of parallel lines when cut by a transversal

Two lines when cut by a transversal line are parallel if the corresponding angles so formed are equal. Generally, the corresponding angles are in relative positions and lie along the same side of the transversal.

Two lines cut by a transversal line are said to be parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.

Two lines cut by a transversal line are said to be parallell if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

The above mentioned are 3 properties of parallel lines.

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Answer:

6b+16n=178

n=b+7

Step-by-step explanation:

Let b=the number of bracelets made

Let n=the number of necklaces made

​

System of Equations:

​

6b+16n=178

n=b+7

Answer:

D.

Step-by-step explanation:

All the y values for f(x) are less than -1 and go upto infinity.

Answer:

C. 12x

Each box has 12 envelopes.

The number of total envelopes will be the number of envelopes in a box multiplied by the number of boxes. The number of boxes is unknown, so it is replaced by the variable. This gives us 12x

Answer:

  (d)  x = 4

Step-by-step explanation:

You want the solution to the system of equations using the given graph.

The solution to the equation f(x) = g(x) is the x-coordinate of the point(s) on their graphs where the curves intersect.

The graph shows the point of intersection of the two functions is (4, 1). This is the solution you have marked in the supplied image.

  x = 4

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Answer:

B

Step-by-step explanation:

285 × .30 = 85.50

285 - 85.50 = 199.50

Answer:the forth answer is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Although this substitution introduces some simplification, it does not fully solve the differential equation.

The given differential equation is (~Tz By)dy + (~Tr(3y + 5))dr.

To solve this equation using a substitution, let's consider the options provided:

A. u = -T1

B. u = y = UI

C. u = y - 2

Let's analyze each option:

A. u = -T1:

Substituting u = -T1, we have:

(~Tz B(-T1))dy + (~Tr(3(-T1) + 5))dr.

This substitution doesn't seem to simplify the equation.

B. u = y = UI:

Substituting u = y = UI, we have:

(~Tz B(UI))d(UI) + (~Tr(3(UI) + 5))dr.

This substitution also doesn't simplify the equation.

C. u = y - 2:

Substituting u = y - 2, we have:

(~Tz B(y - 2))d(y - 2) + (~Tr(3(y - 2) + 5))dr.

This substitution might simplify the equation. Let's expand it further:

(~Tz B(y - 2))(dy - 2d) + (~Tr(3(y - 2) + 5))dr.

Expanding and simplifying:

(Tz By - 2Tz B)(dy) - 2(Tz By - 2Tz B) + (~Tr(3y - 6 + 5))dr.

Simplifying further:

(Tz By - 2Tz B)dy - 2(Tz By - 2Tz B) + (~Tr(3y - 1))dr.

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Answer:

They started the morning shift with 80 cups of coffee

3 hours into the shift the chef made 40 more cups of coffee

45 minutes into the shift 60 cups of coffee were sold

Explanation:

The graph says that:

1. They started the shift with 80 cups of coffee in stock (point A)

2. 25 minutes later, they had 60 cups of coffee (point B)

3. at 45 minutes, they had 20 cups of coffee (point C)

4. at 2 hours they had 0 cups of coffee. (point D)

5. After 3 hours they had 40 cups of coffee (point E)

6. At the end of the morning they had 10 cups of coffee. (point F)

Therefore, the true statement are:

They started the morning shift with 80 cups of coffee because that is the information showed by point A.

3 hours into the shift the chef made 40 more cups of coffee because at point D there was no cups of coffee, then at point E which is 3 hours into the shift there were 40 cups of coffee.

45 minutes into the shift 60 cups of coffee were sold because they started with 80 cups and 45 minutes later they had 20 cups. It means that they sell 80 - 20 = 60 cups of coffee.

So, the answers are:

They started the morning shift with 80 cups of coffee

3 hours into the shift the chef made 40 more cups of coffee

45 minutes into the shift 60 cups of coffee were sold

The length=12cm and width=8cm of the rectangle.

What is area of rectangle?

   The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. Basically, the area formula is equal to the rectangle's product of its length and width.

Here length = l ans width = w.

The length of rectangle is 4 cm less than twice its width.

=> l = 2w - 4

Then area of rectangle A= 96 sqaure centimeters.

=> A = l*w

=> 96 = (2w-4)w

=> 96= 2\(w^{2}\)-4w

=>  2\(w^{2}\)-4w = 96

=>  2\(w^{2}\)-4w-96=0

=> \(w^{2}\)-2w -48 =0

=> \(w^2\)-8w+6w-48=0

=> w(w-8)+6(w-8)=0

=> (w+6)(w-8)=0

=> w= -6,8

Then width w = 8 cm

Now l = 16-4 =12 cm.

Therefore the length = 12cm and width=8 cm.

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The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

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To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Answer:

There were 7 players on the Bears

Step-by-step explanation:

Given

\(a = falcons\)

\(b = bears\)

We have that:

\(a = 11\)

and also:

\(a = 2b - 3\) --- 3 fewer than twice a

Required

Solve for b

Substitute 11 for a in \(a = 2b - 3\)

\(11 = 2b - 3\)

Add 3 to both sides

\(3+11 = 2b - 3+3\)

\(3+11 = 2b\)

\(14 = 2b\)

Divide both sides by 2

\(\frac{14}{2} = \frac{2b}{2}\)

\(7 = b\)

\(b = 7\)

Hence, there were 7 players on the Bears

Answer: A = 1,625.82 m³

Step-by-step explanation:

   The volume of a rectangular prism can be found with;

             A = L * W * H

             A = L * W * H

             A = (15.8m) * (24.5m) * (4.2m)

             A = 1,625.82 m³

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Answer:

1625.82

Step-by-step explanation:

A rectangular prism has the formula

Volume=width×length×height

substitute in the side lengths

=15.8×24.5×4.2

V=1625.82