A raisin cookie recipe call for flour and raisins in the ratio 3/5 : 1/4. if Natilie used 3 cups of flour, how many cups of raisins did she use? write you answer as a mixed number.

Answer:

Step-by-step explanation:

We'll use s = rt where s is arc length, r is the radius, and t is the angle in radians. After we find the angle in radians, we'll convert it to degrees to get the central angle.

\(12\pi=18t\) so

\(t=\frac{2\pi}{3}\)

That's the arc length in radians. Radians does not measure the central angle so we convert using the fact that pi is the same as 180 degrees:

\(\frac{2\pi}{3}*\frac{180}{\pi}\)

The pi's cancel out and 3 goes into 180 60 times, and 60 times 2 is 120, so the angle measure in degrees is 120

Answer:

if you multiply the denominator by the AB^3 by 7 you wll get your common factor

Step-by-step explanation:

Step-by-step explanation:

Question 15:

5(x - 9) - 2(x + 3)

= (5)(x) + (5)(-9) - (2)(x) - (2)(3)

= 5x - 45 - 2x - 6

= 3x - 51

= 3(x - 17).

Question 16:

The terms 36x, 18y and 9 have GCF of 9.

Hence 36x - 18y + 9 = 9(4x - 2y + 1).

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

Answer:

how many gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16.


To find the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen, you need to subtract the sample mean of underclassmen from the sample mean of upperclassmen.

Sample mean of upperclassmen = 0.76
Sample mean of underclassmen = 0.60

Point estimate = Sample mean of upperclassmen - Sample mean of underclassmen
Point estimate = 0.76 - 0.60
Point estimate = 0.16


The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16, which indicates that on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours.

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Answer: The equation \(x-7/8=-3/2\) has a different value of x than the others. The value of x here is -0.625, while in all the other equations, the value of x is 0.625.

Step-by-step explanation: Simplifying the equation \(x+9/8=7/4\), we get:

\(x=7/4-9/8\)

\(x=0.625\)

Simplifying the equation \(x-7/8=-3/2\),  we get:

\(x=-3/2+7/8\)

\(x=-0.625\)

Simplifying the equation \(x+0.875=1.5\), we get:

\(x=1.5-0.875\)

\(x=0.625\)

Simplifying the equation \(x-0.025=0.6\), we get:

\(x=0.6+0.025\)

\(x=0.625\)

Therefore, \(x+9/8=7/4\) has a different value of x than the others.

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Answer:

\(\boxed {\boxed {\sf 30 \ Joules}}\)

Step-by-step explanation:

Kinetic energy can be found using the following formula:

\(KE=\frac{1}{2}mv^2\)

Where m is the mass and v is the velocity.

The robot has a mass of 60 kilograms and a velocity of 1 meter per second.

\(m= 60 \ kg \\v= 1 \ m/s\)

Substitute the values into the formula.

\(KE=\frac{1}{2} (60 \ kg) (1 \ m/s)^2\)

Solve the exponent first.

\(KE= \frac{1}{2} ( 60 \ kg )(1 m^2/s^2)\)

Multiply the numbers in parentheses.

\(KE=\frac{1}{2} ( 60 \ kg*m^2/s^2)\)

Multiply by 1/2 or divide by 2.

\(KE= 30 \ kg*m^2/s^2\)

\(KE= 30 \ J\)

The robot's kinetic energy is 30 Joules

Answer:

undefined

Step-by-step explanation:

i think its undefined

Answer:

x=6

Step-by-step explanation:

Answer:

\(x >4\)

Step-by-step explanation:

\(x+3>19-3x\)

Add 3x and -3 on both parts.

\(x+3+3x-3>19-3x+3x-3\)

Combine like terms.

\(x+3x>16\)

\(4x >16\)

Divide 4 on both parts.

\(\frac{4x}{4} > \frac{16}{4}\)

\(x >4\)

The subject of this question is Mathematics and it involves counting and working with coins.

The subject of this question is Mathematics as it involves counting and working with coins.

Tia has 12 coins in total, consisting of 6 pennies, 3 nickels, and 3 dimes. Will has 15 coins, with an equal number of pennies, nickels, and dimes. Ana has a total of 9 coins, with 2 pennies, 4 nickels, and 3 dimes.

In summary, the question involves counting the number of coins each person has, which can be solved using basic arithmetic and understanding of coin values.

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Answer:

x>3

y≥2x-5

Step-by-step explanation:

graph them

The slope of the line and the y-intercept are slope = 20/7 and y-intercept = 0

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

(0, 0) and (14, 40)

The slope is calculated as

slope = change in y/change in x

So, we have

slope = 40/14

Evaluate

slope = 20/7

For the y-intercept, we have

y-intercept = 0

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Answer:

Any picture ?

Step-by-step explanation:

you can reduce it to factors of degree 2 or less).

The two dice do not need to be identical. If it is possible, do it. If it is not possible, prove that it is not possible.

Some hints I got were to try to construct a pair of nonstandard dice such that the generating function for their sum matches the corresponding g.f. for a pair of standard dice and to note that the g.f. for a pair of standard dice can be factored quite a bit (you can reduce it to factors of degree 2 or less).

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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The domain of f∘g(x), which represents the composition of functions f and g, is [2, ∞).

To find the domain of f∘g(x), we need to consider two things: the domain of g(x) and the range of g(x) that satisfies the domain of f(x).

First, let's determine the domain of g(x), which is the set of all possible values for x in g(x)=x−2. Since there are no restrictions or limitations on the variable x in this equation, the domain of g(x) is (-∞, ∞), which means any real number can be substituted for x.

Next, we need to find the range of g(x) that satisfies the domain of f(x)=x^2+4. In other words, we need to determine the values of g(x) that we can substitute into f(x) without encountering any undefined operations. Since f(x) involves squaring the input value, we need to ensure that g(x) doesn't produce a negative value that could result in a square root of a negative number.

The lowest value g(x) can take is 2−2=0, which is a non-negative number. Therefore, any value greater than or equal to 2 will satisfy the domain of f(x). Hence, the range of g(x) that satisfies the domain of f(x) is [2, ∞).

Thus, the domain of f∘g(x) is [2, ∞).

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The acceleration of the object moving at a constant speed in a circular path of radius r at a rate of 1 revolution per second is given by option C, 2π^2r^2.

The object experiences centripetal acceleration towards the center of the circle. Although its speed remains constant, the direction of its velocity continuously changes, resulting in acceleration. The magnitude of centripetal acceleration can be calculated using the formula a = (v^2) / r, where v is the linear velocity and r is the radius of the circular path. In this case, the linear velocity is the circumference of the circle (2πr) divided by the time (1 second), squared, and divided by the radius (r), resulting in 2π^2r^2.

The acceleration of an object moving in a circular path is directed toward the center of the circle and is known as centripetal acceleration. In this scenario, the object moves at a constant speed of 1 revolution per second, which means it completes a full circular path in 1 second. The linear velocity can be calculated by dividing the circumference of the circle (2πr) by the time taken to complete one revolution (1 second). Since the speed is constant, there is no tangential acceleration. However, the object experiences centripetal acceleration due to the continuously changing direction of its velocity. The magnitude of the centripetal acceleration is given by the formula a = (v^2) / r, where v is the linear velocity and r is the radius. Plugging in the values, we get a = ((2πr) / 1)^2 / r = 4π^2r^2 / r = 4π^2r, which corresponds to option D, 4π^2r.

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Answer:

1. \(\sqrt{7}\)

2. The square root of an imperfect square

Step-by-step explanation:

A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.

The square root of an imperfect square is always irrational.

Answer:

At the end of the 4th round

x=4

Step-by-step explanation:

Put in a value for x for both equations

3(4) + 50 = 62

4(2)^4 = 64

62<64

So in round 4, Zavion will have more points

Let's solve for i.

54−(

1

7

y)(i)=9x−4

Step 1: Add -54 to both sides.

−1

7

iy+54+−54=9x−4+−54

−1

7

iy=9x−58

Step 2: Divide both sides by (-y)/7.

−1

7

iy−y7=

9x−58−y7i=

−63x+405y

Answer:i=

−63x+406y

A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

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Answer:

8

Step-by-step explanation:

Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.

If you multiply the quotient with the divisor, you get the dividend, as 8*5=40

Answer:

Corresponding

Step-by-step explanation:

Matching angles of two congruent figures are called corresponding angles. The angles that are in the same position will have the same measurement.

Answer:

2,4

Step-by-step explanation:

The distance between the points (-10, -10) and (-1, 2) is 15 units.

To calculate the distance between two points in a two-dimensional Cartesian coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the length of the hypotenuse of a right triangle formed by the two points and the origin.

Let's consider the two given points: Point A (-10, -10) and Point B (-1, 2).

The distance formula is as follows:

d = \(√((x2 - x1)^2 + (y2 - y1)^2)\)

Using the given points, we substitute the values into the formula:

d = \(√((-1 - (-10))^2 + (2 - (-10))^2)\)

= \(√((9)^2 + (12)^2)\)

= \(√(81 + 144)\)

= √225

= 15

We can visualize this by plotting the two points on a Cartesian plane. Point A (-10, -10) would be located in the third quadrant, and Point B (-1, 2) would be located in the second quadrant. The distance between these two points is the length of the straight line connecting them, which is 15 units.

It's important to note that the distance is always a positive value, as it represents the length between two points and does not have a direction associated with it.

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