Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?

Answer:

CAN NOT

Step-by-step explanation:

The rule is that for three sides (say a, b, c) to firm a triangle, the sum of any two side must be greater than the third side.

Since 10+3 < 19, a triangle can not be formed

Answer:

16 fluid ounces

Step-by-step explanation:

There are many possible answers for this.

One example is below.

S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.

We can represent this as s + 7.

The value that we don't know is the number of

stations included when a person orders basic cable.

So we can represent that as s.

Then, since the person ordered 7 premium channels, that means he

is adding an additional 7 channels to his basic cable plan.

So we can represent this as s + 7.

Answer:

a number plus 7

Step-by-step explanation:

s+7

Let s represent an unknown number

a number plus 7

Answer:12.1

Step-by-step explanation:

It goes up by 12.1 each time

The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

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Answer:X=-5 and X=3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8% of 25 is 2 so 25 + 2 =27

The right angle, 99, 171, and 159 are four of the angles. It follows that the x and y angles, which are also equal, must both equal 201/2.

A place where two lines converge creates an angle. They are quantified in degrees and are denoted by the symbol °. Four essential types are reflex, acute, right, and obtuse angles. A circle has 360 degrees. One terminal exists when two rays (half-lines) are merged form an angle. The rays are referred to as the angle's sides, occasionally as its legs, and occasionally as its arms, while the latter is referred to as the angle's vertex. The place where all points of an angle converge is known as the vertex.

given

A polygon's internal angle measurements are equal to (n-2) * 180, where n is the number of sides.

Therefore, 4 * 180 = 720 is the total of the internal angles of this 6-sided object.

The remaining two equal angles are 720 - 90 - 99 - 171 - 159 = 201 .

The right angle, 99, 171, and 159 are four of the angles. It follows that the x and y angles, which are also equal, must both equal 201/2.

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Answer:

y=22

Step-by-step explanation:

set 6y-3 equal to 129 and then solve

Answer: The first one, the last one,

Step-by-step explanation:

Answer:

3343621.39918 or rounding would be 3343621.40

Step-by-step explanation:

this is because taking 260,000 divided by .6 then dividing that answer by .6 so on till you done that five times

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer:

7:24 pm

Time taken will be longer

Step-by-step explanation:

Given that:

Distance between Manchester and London = 195 miles

Departure time = 3.30 pm

Average speed of Coach = 50 mph

Arrival time in London :

Time taken = distance / speed

Time taken = 195 / 50 = 3.9 hours (3 hours (0.9 * 60) = 3 hours 54 minutes

= 3:30 pm + 3 hours 54 minutes = 7:24 pm

If the speed is Lower then the Timetaken will be longer and subsequently coach will arrive after 7:24 pm

The Gap for TestBank is $200 million. If interest rates decline by 2%, the change in bank profits can be calculated based on the Gap and the rate-sensitive assets and liabilities.

The Gap is a measure of the difference between rate-sensitive assets and rate-sensitive liabilities for a bank. In this case, TestBank has rate-sensitive assets of $400 million and rate-sensitive liabilities of $200 million. To calculate the Gap, we subtract the rate-sensitive liabilities from the rate-sensitive assets:

Gap = Rate-sensitive assets - Rate-sensitive liabilities

    = $400 million - $200 million

    = $200 million

This means that TestBank has a Gap of $200 million.

When interest rates decline by 2%, it generally leads to an increase in the value of rate-sensitive assets and a decrease in the value of rate-sensitive liabilities. As a result, TestBank's rate-sensitive assets would increase in value, while its rate-sensitive liabilities would decrease in value.

The change in bank profits can be estimated by multiplying the Gap by the change in interest rates. In this case, the change in interest rates is a decline of 2%. Therefore, the change in bank profits would be:

Change in bank profits = Gap * Change in interest rates

                            = $200 million * (-2%)

                            = -$4 million

Hence, if interest rates decline by 2%, TestBank's profits would decrease by $4 million.

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The integral of 35s sin(3s) ds can be found using integration by parts. The result is [35s/9 cos(3s) - 35/9 sin(3s)] + C, where C is the constant of integration.

The integral of 35s sin(3s) ds, we can use integration by parts, which involves selecting one function to differentiate and another function to integrate.

1. Let u = s and dv = 35sin(3s) ds.

  - Taking the derivative of u, we have du = ds.

  - Integrating dv, we have v = -35/3 cos(3s).

2. Applying the integration by parts formula ∫u dv = uv - ∫v du, we get:

  ∫(35s sin(3s)) ds = -35s/3 cos(3s) - ∫(-35/3 cos(3s)) ds.

3. The integral of -35/3 cos(3s) ds can be easily evaluated as (-35/9 sin(3s)).

4. Combining the terms, we have:

  ∫(35s sin(3s)) ds = -35s/3 cos(3s) + 35/9 sin(3s) + C,

  where C is the constant of integration.

Therefore, the integral of 35s sin(3s) ds is given by -35s/3 cos(3s) + 35/9 sin(3s) + C, where C is the constant of integration.

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Step-by-step explanation:

cluldnt get the answer for one

Answer:

x = -4, -8

Step-by-step explanation:

Step 1: Write out quadratic

x² + 12x + 32 = 0

Step 2: Subtract 32 on both sides

x² + 12x = -32

Step 3: Complete the Square

x² + 12x + 36 = -32 + 36

(x + 6)² = 4

Step 4: Take square root of both sides

x + 6 = ±2

Step 5: Subtract 6 on both sides

x = -6 ± 2

x = -4, -8

The required solution of the given quadratic equation,x² + 12x + 32 = 0 is x  = -4, or -8

Use the concept of quadratic equation defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

The given quadratic equation is,

x² + 12x + 32 = 0

It can be written as,

x² + (2)(6)x + 32 = 0

For completing the square add 6² both sides,

x² + (2)(6)x + 6²  + 32 = 6²

(x² + (2)(6)x + 6²)  + 32 = 36

Subtracting 32 on both sides we get,

(x² + (2)(6)x + 6²) = 4

Since we know that the identity (a+b)² = a² + 2ab + b²

Therefore, the expression becomes,

(x+ 6)² = 4

Take square root on both sides,

x + 6 = ± 2

Subtract 6 on both sides,

x = -4, or -8

Hence,

The solution of the given quadratic equation is x = -4, or -8

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The rate of change of the area of the square when the side length is 7cm is  112 .

In the question ,
it is given that

the decreasing rate of the side length of the square is 8 cm per second ,

let the side length of the square be =  "\(s\)" .

So , ds/dt = -8 cm/s

the formula for area of \(s\)quare is ,

area = side²

A = s²

On differentiating both sides with respect to \(t\) ,

we get

dA/dt = 2s*ds/dt

Since we have to find rate of change of area when the side length is 7 cm ,

we substitute s = 7 , and ds/dt is given as  -8 cm/s

On substitution of values , we get

dA/dt = 2(7)*(-8)

= 14*(-8)

= -112

the negative sign in the answer means that the area is decreasing .

Therefore , The rate of change of the area of the square when the side length is 7cm is 112  .

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Answer:

Step-by-step explanation: 76

Answer:

What he did wrong is that he did not flip all of the points. since S is 1 point up, it would then reflect 1 point down. point P is 3 up and the reflection should be 3 down. Q should be 3 down as well and R is 1 down below the x axis. The Y does not move for all of the points.

Step-by-step explanation:

I hope this helps!

4) In spherical geometry, some quadrilaterals are parallelograms.

In spherical geometry, some quadrilaterals are parallelograms is a true statement. Thus option D is correct.

Instead of the sort of geometries studied in trigonometry or solid geometry, the research of shapes on a structure's surface. White lines are large rounds in spherical, therefore any three layers intersect at two locations.

A spherical quadrilateral is a bounded surface that is homomorphic to a compact disk. It has four distinct local maxima called extremities, a Riemannian measurement that has constant curvature 1 everywhere else, aside from the corners, and or the demarcation arcs between it intersections. a dome shape. the collection of rectangular shapes with specified angles.

Therefore, option D is the correct option.

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The probability of rolling a total of 7 on the two dice is 8/63

Probability:

In Mathematics, Probability is a branch that deals with the occurrence of possible outcomes in a random event or experiment. It is also defined as the ratio of the number of favorable outcomes and the total number of outcomes.

The probability of an event is denoted by P(E). And the probability of all the events in the sample space will equal to 1.  

Probability P(E) = No of favorable outcomes /Total No of outcomes  

Here we have,

The probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die, are in the ratio 1: 2: 3: 4: 5: 6  

Let x, 2x, 3x, 4x, 5x, and 6x are the probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die [ since they are in ratio 1: 2: 3: 4: 5: 6 ]  

As we know the total events in a probability = 1

=> x + 2x + 3x + 4x + 5x + 6x = 1  

=> 21 x = 1

=> x = 1/21  

From the above calculations,

The probabilities of rolling 1, 2, 3, 4, 5, and 6 are  \(\frac{1}{21} , \frac{2}{21}, \frac{3}{21}, \frac{4}{21}, \frac{5}{21}, \frac{6}{21}\) respectively.  

The possible combinations of two dies that can give a total of 7 are

(1, 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1)

Therefore, the probability of rolling a total of 7 on the two dice

=  the sum of the probabilities of rolling each combination

=  \(\frac{1}{21} . \frac{6}{21} + \frac{2}{21} .\frac{5}{21} + \frac{3}{21} . \frac{4}{21} + \frac{4}{21} . \frac{3}{21} + \frac{5}{21} .\frac{2}{21} + \frac{6}{21} .\frac{1}{21}\)  

=  \(\frac{6}{441} + \frac{10}{441} + \frac{12}{441} + \frac{12}{441} + \frac{10}{441} + \frac{6}{441}\)  

=  \(\frac{56}{441}\)

=  \(\frac{8}{63}\)

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The complete question is

For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer: x = 1

Step-by-step explanation:

we have

x tetras

3 goldfish

5 platies.

the total number of fishh in the bowl is x + 3 + 5

The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:

p = 3/(x + 3 + 5) = 1/3

3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3

9 = x + 3 + 5

x = 9 - 8 = 1

then wemust have that x = 1

because 1 + 3 + 5 = 9

and 3/9 = 1/3

1. The proportion P of green Skittles in your data is approximately 0.2094 or 20.94%. 2. The standard deviation of the sample proportions based on your data is approximately 0.0266. 3. The estimated true proportion of green Skittles in the population, based on your data, is 20.94% \(^+_-\) 4.07%. 4. The data supports your initial guess that the percentage of green Skittles in a bag is approximately 20%-25%.

1. To find the proportion P, divide the number of green Skittles by the total number of Skittles in your sample:

P = Number of green Skittles / Total number of Skittles

In this case, you found 49 green Skittles out of a sample size of 234, so:

P = 49 / 234 = 0.2094 (rounded to four decimal places)

Therefore, the proportion P of green Skittles in your data is approximately 0.2094 or 20.94%.

2. To calculate the standard deviation of the sample proportions, you can use the following formula:

Standard Deviation = \(\sqrt{(P * (1 - P)) / n}\)

Where P is the proportion and n is the sample size.

Using the given values:

= sqrt((0.2094 * (1 - 0.2094)) / 234) = 0.0266 (rounded to four decimal places)

Therefore, the standard deviation of the sample proportions based on your data is approximately 0.0266.

3. To estimate the true proportion p in the population, including a margin of error, you can use the confidence interval formula:

\(p ^+_- z * \sqrt{(p * (1 - p)) / n}\)

Where p is the sample proportion, z represents the z-score based on the desired confidence level (such as 95% confidence), and n is the sample size.

Since you didn't mention a specific confidence level, we'll assume a 95% confidence level, which corresponds to a z-score of approximately 1.96.

Using the values from your data:

p = 0.2094

z = 1.96

n = 234

Calculating the margin of error:

The margin of Error =\(z * \sqrt{(p * (1 - p)) / n}\)

\(= 1.96 * \sqrt{(0.2094 * (1 - 0.2094)) / 234}\)

= 0.0407 (rounded to four decimal places)

The estimated true proportion p in the population, including the margin of error, is:

p \(^+_-\) Margin of Error = 0.2094 \(^+_-\) 0.0407

Therefore, the estimated true proportion of green Skittles in the population, based on your data, is 20.94% \(^+_-\) 4.07%.

4. Comparing the estimated true proportion with your initial guess of 20%-25%, we can see that the proportion you found in your data (20.94%) falls within the estimated range of 20.94% \(^+_-\) 4.07%. This means that the data support the initial guess that the percentage of green Skittles in a bag is approximately 20%-25%.

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Answer: n=5

have an amazing day <3

True, a half step is the shortest distance that can exist between two pitch-sounding frequencies. In Western musical notation, a half step is thought to be the shortest interval, or space between two notes.

The smallest musical interval typically utilized in Western tonal music is a semitone, sometimes known as a half step or a half tone. It is described as the space in a 12-tone scale between two neighbouring notes. For instance, there is a semitone's distance between C and C. Any interval in a 12-note scale that is almost evenly divided into semitones can be described in terms of the proper number of semitones, for example, a whole tone or major second is two semitones wide, a major third is four semitones wide, and a perfect fifth is seven semitones wide.

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Answer:

3 times

Step-by-step explanation:

Firstly we calculate the number of minutes between 8 and 11 am

The number of hours is 3 hours

The number of minutes is 180 minutes since 1 hour is 60 minutes

Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180

The multiples are;

60, 120, 180

This means that they leave together 3 times

The volume of the box with surface area 10 is given by the formula V = 2.5x^2 - 0.25x^4, where x is the length of a side of the square base.

To find a formula for the volume of the box with surface area A and square base with side x, we first need to find the height of the box. Since the box has a square base, the area of the base is x^2. The remaining surface area is the sum of the areas of the four sides, each of which is a rectangle with base x and height h. Therefore, the surface area A is given by:

A = x^2 + 4xh

Solving for h, we get:

h = (A - x^2) / 4x

The volume V of the box is given by:

V = x^2 * h

Substituting the expression for h, we get:

V = x^2 * (A - x^2) / 4x

Simplifying, we get:

V = (Ax^2 - x^4) / 4

The domain of V is all non-negative real numbers, since both x^2 and A are non-negative.

To graph V as a function of x, we can use a graphing calculator or plot points using a table of values. The graph will be a parabola opening downwards, with x-intercepts at 0 and sqrt(A) and a maximum at x = sqrt(A) / sqrt(2).

To find the maximum value of V, we can take the derivative of V with respect to x and set it equal to 0:

dV/dx = (2Ax - 4x^3) / 4

Setting this equal to 0 and solving for x, we get:

x = sqrt(A) / sqrt(2)

Plugging this value of x into the formula for V, we get:

V = A^1.5 / (4sqrt(2))

Therefore, the maximum value of V is A^1.5 / (4sqrt(2)).

To find the formula for the volume of a box having surface area 10, we simply replace A with 10 in the formula we derived earlier:

V = (10x^2 - x^4) / 4

Simplifying, we get:

V = 2.5x^2 - 0.25x^4

Therefore, the volume of the box with surface area 10 is given by the formula V = 2.5x^2 - 0.25x^4, where x is the length of a side of the square base. The domain of V is all non-negative real numbers.

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Answer:

non linear

Step-by-step explanation: