Please help me on this. you need to match the terms to the correct number.

In 0.75lb (340g) of 85% lean ground beef, there are approximately 72 grams of fat.

To calculate the grams of fat in 0.75lb of 85% lean ground beef, we need to determine the fat content based on the percentage given. The term "85% lean" indicates that 85% of the weight of the ground beef is lean meat, while the remaining 15% is fat.

First, we convert 0.75lb to grams. Since 1lb is equal to 454g, multiplying 0.75lb by 454g/lb gives us 340g.

Next, we calculate the fat content by multiplying the weight of the ground beef (340g) by the percentage of fat (15%).

340g * 0.15 = 51g

Therefore, in 0.75lb (340g) of 85% lean ground beef, there are approximately 51 grams of fat.

However, the question asks for the fat content, so we subtract this value from the total weight to find the grams of fat:

340g - 51g = 289g

Therefore, there are approximately 72 grams of fat in 0.75lb (340g) of 85% lean ground beef.

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The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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Answer:

A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.

A reflection is a single action, such as the reflection across y = x in the blue pre-image and the black dotted-line picture below.

A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.

In such situation, the blue pre-image is reflected across y = x and then translated by a factor of two to form the green picture.

The figure appears to be moving along the line after several repetitions.

A sine wave resembles the sine from zero to pi that has been repeatedly translated from "pi, 0" across the x-axis.

See the attachment. (Pre-image in blue Dots indicate reflection. Glider reflection picture is green.)

Cheers,

ROR

Answer:

A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.

Step-by-step explanation:

Answer:

1.89753

Step-by-step explanation:

22/11,594

         \(\frac{22}{11.594} * 1000 = \frac{22000}{11594}\)

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The probability that either event will occur is 0.83

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

Event A = 18

Event B = 12

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

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If the lengths of all the sides of a polygon are tripled, but the angles remain the same, the area of the polygon will increase by a factor of 9. This is because the area of a polygon is directly proportional to the square of its side length. Therefore, tripling the side lengths will increase the area by a factor of 3^2, which is 9.

When the lengths of all the sides of a polygon are tripled while the angles remain the same, the new polygon will be similar to the original one but with larger sides. To determine what happens to the area of the polygon in this case, let's consider the following steps:

1. All the sides of the polygon are tripled. This means that each side's length is now 3 times its original length.

2. The angles of the polygon remain the same, so the overall shape is preserved.

3. To find the area of the new polygon, we can use the formula for the area of a similar polygon: (New area) = (scale factor)^2 * (Original area), where the scale factor is the ratio of the new side length to the original side length.

4. In this case, the scale factor is 3 (since the lengths of the sides are tripled). So, we have (New area) = (3)^2 * (Original area).

5. Therefore, the new area is 9 times the original area.

In conclusion, when the lengths of all the sides of a polygon are tripled and the angles remain the same, the area of the polygon increases by a factor of 9.

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The function V(x, y) = ax² + bxy + cy² is positive definite if and only if a > 0 and ac - b²/4 > 0.

The function V(x, y) is negative definite if and only if a < 0 and ac - b²/4 > 0.

The function V(x, y) is indefinite if and only if ac - b²/4 < 0.

In other words, the sign of a determines whether V(x, y) is positive or negative definite, and the discriminant ac - b²/4 determines whether it is definite or indefinite.

The proof of this theorem is based on the properties of the eigenvalues of the symmetric matrix A = [[a, b/2], [b/2, c]], which corresponds to the Hessian matrix of V(x, y) at the critical point (0, 0). The eigenvalues of A are λ1 = a + c + √(ac - b²/4) and λ2 = a + c - √(ac - b²/4), and their signs determine the definiteness of V(x, y).

If both eigenvalues are positive, V(x, y) is positive definite. If both eigenvalues are negative, V(x, y) is negative definite. If the eigenvalues have opposite signs, V(x, y) is indefinite. If one of the eigenvalues is zero, the test is inconclusive and higher-order derivatives must be considered.

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The side length that could be a right triangle are

Applying Pythagoras theorem, for each side length we solve for the longest side in each case assuming the longest side is x

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

checking for 4 7 8

let x be the required distance

x² = 4² + 7²

x² = 16 + 49

x² =  65

x = √65

this is not a right triangle

checking for 6 8 10

let x be the required distance

x² = 6² + 8²

x² = 36 + 64

x² =  100

x = √100

x = 10

this is a right triangle

checking for 5 12 13

let x be the required distance

x² = 5² + 12²

x² = 25 + 144

x² =  169

x = √169

x = 13

this is a right triangle

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Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

2.4 meters

Explanation:

In the given right triangle:

• The side length ,opposite ,35° = x

• The length of the ,hypotenuse ,= 4.1 meters

We want to solve for x.

Using the trigonometric ratios of right triangles:

Cross multiply:

The top of the slide is approximately 2.4 meters above the ground.

In an experimental study, random error due to individual differences can be reduced if a(n) control group is implemented.

One effective way to reduce random error due to individual differences in an experimental study is to include a control group. A control group serves as a baseline comparison group that does not receive the experimental treatment. By having a control group, researchers can isolate and measure the effects of the independent variable more accurately.

The control group provides a point of reference to assess the impact of individual differences on the study's outcome. Since both the experimental group and control group are subject to the same conditions, any observed differences can be attributed to the experimental treatment rather than individual variations.

This helps to minimize the influence of confounding variables and random error associated with individual differences.

By comparing the outcomes of the experimental group and control group, researchers can gain insights into the specific effects of the treatment while controlling for individual differences. This improves the internal validity of the study by reducing the potential bias introduced by individual variability.

In summary, including a control group in an experimental study helps to reduce random error due to individual differences by providing a comparison group that is not exposed to the experimental treatment. This allows researchers to isolate and measure the effects of the independent variable more accurately.

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Answer:

-2/7

Step-by-step explanation:

2/5*-5/7=-2/7

-10/35 =-2/7 when divided by 5to reduction

Answer:

72 words per minute

Step-by-step explanation:

\(\frac{1}{y}= \frac{42}{3024}\)

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

y = 72

Answer:

I think it is C I don't really know but try C

Answer:

Let x= our first even integer. Therefore our three consecutive even integers are 16 , 18 , and 20

Step-by-step explanation:

Answer:

17+18+19=54

17,18,19

Answer:

-6

Step-by-step explanation:

The derivative of f(x) = (x - 5)(x + 2) is f'(x) = 2x - 3. The derivative of the function f(x) = (x - 5)(x + 2) can be found using the Product Rule. The derivative expands to f'(x) = (x + 2) + (x - 5).

To find the derivative of the function f(x) = (x - 5)(x + 2) using the Product Rule, we differentiate each term separately and then combine them. The Product Rule states that for two functions u(x) and v(x), the derivative of their product is given by (u(x)v'(x)) + (v(x)u'(x)).

Applying the Product Rule to f(x), we have:

f'(x) = (x + 2) * d/dx(x - 5) + (x - 5) * d/dx(x + 2)

Now, we differentiate each term separately. The derivative of x - 5 is simply 1 since the derivative of a constant (in this case, -5) is zero. Similarly, the derivative of x + 2 is 1.

Substituting these derivatives back into the expression, we get:

f'(x) = (x + 2) * 1 + (x - 5) * 1

Simplifying further, we have:

f'(x) = x + 2 + x - 5

Combining like terms, we obtain the final result:

f'(x) = 2x - 3

Therefore, the derivative of f(x) = (x - 5)(x + 2) is f'(x) = 2x - 3.

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The probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

A person will have to do 5 coin tosses which means,

No. of total observations  = 25

Required outcome → 5 Heads { T , T , T , T , T }

This outcome  can occur only once so required outcome will be 1

Thus, required outcome  =1

Probability (5 Tails) = 1 / 2⁵ = 1 / 32

Hence , the probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

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Answer: for number 4 the error is that they did -3 plus 5 which they got a +2 from. For question number 5 the correct answer is 18 and number 6 the answer is also 18.

Step-by-step explanation:

Answer:

1. they were suppose to multiply the 2 and the 5 first

2.B

3. 18

4.B

5.B

Answer:

Step-by-step explanation:

\((\frac{13 - \sqrt{57} }{8} , \frac{13 + \sqrt{57} }{8} )\)

The temp agency should survey 1131 parents to meet their requirements from the population.

The true proportion of the population, p = 15/20 = 0.75.

The confidence level = 98%.

Z-score corresponding to the confidence interval, Z = 2.33.

Margin of error, MOE = 3% = 0.03.

We assume the sample size to be n.

By the central limit theorem, we know that:

MOE = Z*√{ (p(1 - p))/n }.

Simplifying this, we can write,

n = (Z/MOE)²(p(1 - p)).

Substituting the values, we get:

n = (2.33/0.03)²(0.75(1 - 0.75)),

or, n = (77.66667)²(0.75*0.25),

or, n = (6032.111111)*(0.1875),

or, n = 1131.020833 ≈ 1131.

Thus, the temp agency should survey 1131 parents to meet their requirements from the population.

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Answer:x=3

Step-by-step explanation:

Simplifying

8x + -1(6x + -4) = 10

Reorder the terms:

8x + -1(-4 + 6x) = 10

8x + (-4 * -1 + 6x * -1) = 10

8x + (4 + -6x) = 10

Reorder the terms:

4 + 8x + -6x = 10

Combine like terms: 8x + -6x = 2x

4 + 2x = 10

Solving

4 + 2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + 2x = 10 + -4

Combine like terms: 4 + -4 = 0

0 + 2x = 10 + -4

2x = 10 + -4

Combine like terms: 10 + -4 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3

Answer:

x=3

Step-by-step explanation:

Let's solve your equation step-by-step.

8x−(6x−4)=10

Step 1: Simplify both sides of the equation.

8x−(6x−4)=10

8x+−1(6x−4)=10(Distribute the Negative Sign)

8x+−1(6x)+(−1)(−4)=10

8x+−6x+4=10

(8x+−6x)+(4)=10(Combine Like Terms)

2x+4=10

2x+4=10

Step 2: Subtract 4 from both sides.

2x+4−4=10−4

2x=6

Step 3: Divide both sides by 2.

2x

/2 =  6

/2

The reaction at Roller A is 1800 N and the reaction at Pin B is 2450 N. To calculate the reaction at Pin B, you need to multiply the length of the pin (3 m) by the load (450 N) and add the additional load (600 N).

Reaction at Roller A:

2 m * 900 N = 1800 N

Reaction at Pin B:

3 m * 450 N + 600 N = 2450 N

To calculate the reaction at Roller A, you need to multiply the length of the roller (2 m) by the load (900 N). This gives you 1800 N.

To calculate the reaction at Pin B, you need to multiply the length of the pin (3 m) by the load (450 N) and add the additional load (600 N). This gives you 2450 N.

The reaction at Roller A is 1800 N and the reaction at Pin B is 2450 N.

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Answer:

I believe A would be the correct one, but I'm not 100% sure, none of the others make any sense and it looks like there may be a typo on A.

Step-by-step explanation:

If Caitlin were to win a huge sum of cash. In total, she has 49 bills. She adds up $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation.

Given that Caitlin won a bag of cash, she has a total of 49 bills. She adds up to $1430. There are twenty and fifty-dollar notes available.

The system best represents the situation is,

20x + 50y = 1430

Thus, if Caitlin was to win a huge sum of cash. In total, she has 49 bills. She adds up to $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.

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The probability of that the first 40 feet in a roll contain no flaws is ≈ .3012

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Θ = μ = \(\frac{100 foot}{3 flaws}\)

a ) We assume that the length until the first flaw follows an exponential distribution.

Probability density function of exponential distribution:

f(x) = \(\frac{1}{Θ} e^{\frac{-x}{Θ} } = \frac{1}{100/3}e^{-x/(100/3)} = \frac{3}{100}e^{-3x/100}\)

The first 40 feet in a roll of 100 feet contain no flaws if the first flaw occurs after 40 feet.

The probability is the integral over the corresponding interval:

the further calculation has been shown in fig. attached

since equation was not possible to write here

b) We assume that the length until the first flaw follows an exponential distribution.

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