Cassle is baking cookies from scratch. Her recipe calls for
7/8 of a cup of sugar per batch. If she is baking Just 2/3 of a
batch of cookles, how much sugar should she use?

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

push the x on the top left corner of the tab

Step-by-step explanation:

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Answer:

$135

Step-by-step explanation:

Step 1

Conversion

Base = 2 yards

1 yard = 3 feet

2 yards = x

Cross Multiply

x = 2 × 3 feet = 6 feet

Height = 5 yards

1 yard = 3 feet

5 yards = x

Cross Multiply

x = 5 × 3 feet = 15 feet

Step 2

Find the area of the triangle

Area of a triangle = 1/2 × base × height

Base = 6 feet

Height = 15 feet

Area = 1/2 × 6 × 15

= 45 square feet

Step 3

Find the cost of the carpet

1 Square foot = $3

45 square feet = x

Cross Multiply

x = 45 × $3

x = $135

Therefore, the amount you will pay to cover a triangular section of the floor is $135

To determine the complex exponential Fourier series representation for each of the given signals, we can use the formula:

X(t) = ∑[n=-∞ to ∞] Cn * e^(jnω0*t)

where Cn represents the complex Fourier coefficients and ω0 is the fundamental frequency.

X(t) = cos(ωt):

The complex exponential Fourier series representation for X(t) = cos(ωt) is:

X(t) = C0 * e^(j0ω0t) + C1 * e^(j1ω0t) + C(-1) * e^(j*(-1)ω0t)

= C0 + C1 * e^(jω0t) + C(-1) * e^(-jω0t)

x(t) = -cos(0.5 * ωt):

The complex exponential Fourier series representation for x(t) = -cos(0.5 * ωt) is:

x(t) = C0 * e^(j0ω0t) + C0 * e^(j0ω0t) + C1 * e^(j1ω0t) + C(-1) * e^(j(-1)ω0t)

= C0 + C0 + C1 * e^(j0.5ω0t) + C(-1) * e^(-j0.5ω0t)

x(t) = cos(2t + 1):

The complex exponential Fourier series representation for x(t) = cos(2t + 1) is:

x(t) = C0 * e^(j0ω0t) + C2 * e^(j2ω0t) + C(-2) * e^(j*(-2)ω0t)

= C0 + C2 * e^(j2ω0t) + C(-2) * e^(-j2ω0t)

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The value of k is 7.

To find the value of k, we need to determine the upper limit of integration that corresponds to the area under the graph of \(f(x) = 3x^2\) between x=2 and x=k equaling 335.

The area under a curve can be found by evaluating the definite integral of the function over the given interval. In this case, we want to find the value of k that makes the integral equal to 335.

The definite integral of \(f(x) = 3x^2\) between x=2 and x=k can be calculated as follows:

∫[2 to k] \(3x^2\) dx

Using the power rule of integration, we integrate the function with respect to x:

= [\(x^3\)] evaluated from 2 to k

= \(k^3 - 2^3\)

= \(k^3 - 8\)

To find the value of k, we set the integral equal to 335:

\(k^3 - 8 = 335\)

By rearranging the equation and solving for k, we find:

\(k^3\) = 335 + 8

\(k^3\) = 343

k = ∛343

k = 7

Therefore, the value of k that satisfies the equation and makes the area under the graph equal to 335 is k = 7.

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Answer:

km square is the area and square km is the same as km square

Answer:

22

Step-by-step explanation:

g(x) = 3x + 1

g(7) = 3(7) + 1

= 21 + 1

= 22

hope this helps! :D

have a miraculous day!! <3

A diamond coin? or a really fancy coin?

Answer:

the austraillian $2 coin

Step-by-step explanation:

0.08 = 8/100 = (8 ÷ 4)/(100 ÷ 4) = 2/25

Option B is the lowest term fraction form for the decimal 0.08, which is 2/25.

The representation of a portion of a whole using fractions. In the format 1/2, two numbers are written side by side, separated by a line. Numerator and denominator are terms used to describe the top and bottom numbers, respectively. The numerator indicates the number of equally sized pieces you have, while the denominator indicates how many equal sections the entire has been divided into.

You have consumed 3/8 of a pizza, for instance, if it was sliced into 8 equal pieces and you ate 3 of them.

By dividing both the numerator and denominator by their greatest common factor, we can simplify the fraction 0.08 and represent it in lowest terms (GCF). The GCF of 8 and 100 in this situation equals 4. Hence, we divide both 8 and 100 by 4:

0.08 = 8/100 = (8 ÷ 4)/(100 ÷ 4) = 2/25

As a result, option B, 2/25, is the decimal 0.08 expressed in lowest terms.

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Answer:

Factoring w2-16w+19

The first term is, w2 its coefficient is 1 .

The middle term is, -16w its coefficient is -16 .

The last term, "the constant", is +19

Step-1 : Multiply the coefficient of the first term by the constant 1 • 19 = 19

Step-2 : Find two factors of 19 whose sum equals the coefficient of the middle term, which is -16 .

-19 + -1 = -20

-1 + -19 = -20

1 + 19 = 20

19 + 1 = 20

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

w2 - 16w + 19 = 0

hope it helps

Answer:

24 years old

Step-by-step explanation:

Jim = 2x + 4

Mark = x

Sum of their ages = 34

2x + 4 + x = 34

2x + x = 34 - 4

3x = 30

3x / 3 = 30 / 3

x = 10

Mark = 10 years old

Jim = 2x + 4

= 2 ( 10 ) + 4

= 20 + 4

= 24

Therefore, Jim is 24 years old

\( {960}^{5} \times {960}^{9} \\ = {960}^{5 + 9} \\ = {960}^{14} \)

Answer:

\( {960}^{14} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

c + 301 = 270

Step-by-step explanation:

c = -31

The solution of the initial value problem in this question is \(y = [(3/2)^{(1/3)} * x^{(2/3)}] / [(3/2)^{(1/3)} * 1^{(2/3)} - 5].\)

To solve the initial value problem, we begin by rearranging the equation to separate the variables and integrating both sides.

First, we divide both sides by\(y^{(4/3)}\) and multiply both sides by dx:

Next, we integrate both sides:

where C is the constant of integration.

Using the initial condition y(1) = 2, we can solve for C:

Thus, the particular solution is:

Exponentiating both sides and simplifying, we get:

Thus, the solution of the initial value problem is \(y = [(3/2)^{(1/3)} * x^{(2/3)}] / [(3/2)^(1/3) * 1^{(2/3)} - 5]\)

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The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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The general form of the anti-derivative of 1 is given by:

∫1dx = x + C

Where "x" represents the variable, "dx" represents the infinitesimal change in x, and "C" represents the constant of integration.

It's important to note that the constant of integration can take on any value, so the anti-derivative of 1 is not a unique function, but a family of functions.

The anti-derivative, also known as the indefinite integral, of a function is the reverse of finding the derivative. It gives us the original function given its derivative.

The anti-derivative of a constant function, such as 1, is a simple linear function. To find the anti-derivative of 1, we simply integrate it by adding a constant of integration, represented by "C".

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The number 2 from the set will make the equation x * 3 = 8.4 true. A set of numbers is {5. 4, 6. 2, 7. 4, 9. 2, 15. 1}

To find the number that satisfies the equation, we need to solve for x. Rearranging the equation, we have:

x = 8.4 / 3

x ≈ 2.8

Among the given set of numbers, the number closest to 2.8 is 2. Therefore, substituting x with 2 in the equation x * 3 = 8.4, we get:

2 * 3 = 6

Since 6 is not equal to 8.4, none of the numbers in the given set make the equation x * 3 = 8.4 true.

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Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

Answer:

for ten cans of tomatoes, you will need 30 teaspoons of oregano

Step-by-step explanation:

1:3

Multiple cans of tomatoes by 3

2:6

3:9

4:12

5:15

8:24

10:30

*need more info for second part of the question

The rocket is at a height of 16 ft after 1 second.

To find the time when the rocket is at a height of 16 ft, we need to solve the equation S(t) = 16, where S(t) represents the height of the rocket at time t.

Substituting the given equation for S(t), we have:

-16t² + 32t = 16

Rearranging the equation, we get:

-16t² + 32t - 16 = 0

Dividing the equation by -16 to simplify, we have:

t² - 2t + 1 = 0

Factoring the quadratic equation, we have:

(t - 1)(t - 1) = 0

Since (t - 1)(t - 1) = (t - 1)², we can rewrite the equation as:

(t - 1)² = 0

Taking the square root of both sides, we get:

t - 1 = 0

Solving for t, we find:

t = 1

Therefore, the rocket is at a height of 16 ft after 1 second.

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Answer:

wat was it

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

2.94

Step-by-step explanation:

3.29 - 35/100 = 2.94

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

The fraction 3/15 in simplest form is 1/5.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

In this case, 3 and 15 have a common factor, which is 3. Thus, 3/15 in simplest form will be:

3/15 = 1/5  (divide both numerator and denominator by 3)

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the answer is 150

I hope im not wrong

The second degree equation in the given equations are Equation A , B and F

Quadratic equation is a second degree equation ,which is represented by the equation ax²+bx+c.

The given equations are

x²+ 12 x = 0

x² - 2 x = 4 x + 1

x³ - 6 x² + 8 = 0

5x - 3 = 0

5 x - 1 = 3 x + 8

9x² + 6 x - 3 = 0

The second degree equation in the given equations are Equation A , B and F

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An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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