The mass of a crystal is 0.49 kg. Write 0.49 as a fraction (both decimals have a overbar) pls no bots..​

Answer:ohn is welding a truss for a bridge. He determines the angles made by the sections he

welds together, so that the truss will be uniform. The top of the truss must be parallel to

the bottom of the truss. If an angled support makes a 125' angle with the top, what must

the measure of the interior angle on the same side of the transversal with the

Step-by-step

Step-by-step explanation:

the rules of the angles of 2 lines intersecting each other.

that means the angles on one side of the first line sind the intersection point, are the same as on the other side of the line - just left-right interchanged.

and to have a third line, parallel to the first line, where the exact same angles have to be, where the second line intersects the third line (a parallel line is like a mirror image of the first line : every look and feel has to be the same).

and then remember : all angles around a single point in one side of a line must be together 180°.

so, if the support beam has an angle of 125° with the top "line", the second angle there (the exterior Angie at that point) is then 180 - 125 = 55°.

this is all at the bottom side of the top "line".

these angles are therefore left-right exchanged the same on the top side of the top "line". so, 55° and 125° instead of 125° and 55°.

these angles at the top of the top "line" must be now exactly the same at the top of the parallel bottom "line" of the truss.

so, the interior angle there is 55°. and the exterior angle is 125°.

The expression 27a^3 + 54a^2b + 36ab^2 + 8b^3​ has a cube root of 3a + 2b

From the question, the expression is given as

27a^3 + 54a^2b + 36ab^2 + 8b^3​

The above expression is the cube of the sum of two numbers or expressions

Where the numbers are

27a^3 and 8b^3​

The cube roots of 27a^3 and 8b^3​ are represented as

∛27a^3 and ∛8b^3​

Evaluate the cube roots

3a and 2b

Express as sum

3a + 2b

Hence, the cube root of the expression is 3a + 2b

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If Lola uses only ³/₄ gallons of fruit juice, proportionately, she will need the following quantities of the other ingredients:

Proportion is the ratio or relative relationship of one value against another.

Proportion is used to show the quantity of a number contained in another.

Proportions are depicted using fractions, decimals, or percentages.

Available Ingredients for a Punch Recipe:

Bottles of ginger ale = 2 liters

Gallons of fruit juice = 1 gallon

Gallons of sherbet = ¹/₂ gallons

The proportion of fruit juice used = ³/₄ gallons

The proportion of ginger ale to be used = 1¹/₂ liters (2 x ³/₄)

The proportion of sherbet to be used = ³/₈ gallons (¹/₂ x ³/₄)

Thus, in proportion, Lola will use 1¹/₂ liters of ginger ale and ³/₈ gallons of sherbet if she cuts the recipe by using ³/₄ gallons of fruit juice.

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Answer:

25

Step-by-step explanation:

10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25

Answer:

hey mate!!

Step-by-step explanation:

x

2

−25=144

X^2=144+25

x^2=169

x=√169

x=13

Sorry mate check out the answer !

Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

Answer:

Step-by-step explanation:

60 is the answer

Answer:

32

Step-by-step explanation:

20% of 40 is 8

40-8=32

In Roman Numerals, smaller numbers can be subtracted from larger numbers, but only to a certain extent.

The number VCX is incorrect in Roman Numerals because V (5) cannot be subtracted from X (10) to make 5, and C (100) cannot be subtracted from X (10) to make 90.

In Roman Numerals, smaller numbers can be subtracted from larger numbers, but only to a certain extent.

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Answer:

May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer:

it actually equals 11

Step-by-step explanation:

1+1 = 11 You take 1 and add another 1 to it, hence it is 11

The most appropriate test statistic to use for an experiment on relaxation techniques is matched pairs test. So, option(a) is right one.

For determining the validity of an asserting claim, the appropriate test statistic is formulated based on the population parameter to be tested from the estimated test statistic. Determining a claim related to a single parameter (e.g., the population mean) an appropriate test statistic, i.e., t-statistic or z-statistic is chosen based on the sample size. Also, In the case of claim related to examining the relationship between two population parameters, the two-sample test for t- or z statistic is formulated, based on appropriate sample sizes. We have an experiment related to relaxation techniques. The subject's brain signals were noted before and after the relaxation exercises. Claim is that relaxation exercise slowed the brain waves. There is two data sets one before and other after the relaxation exercise. So, for check the claim is true or not we use the matched pairs. The matched-pair t-test (or paired t-test or dependent t-test) that is used when the data from the two groups can be presented in pairs.

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Answer: it's  4x + 3y ≤ 12; x ≥ 0

Step-by-step explanation: I took the test

Answer:

A      4x + 3y ≤ 12; x ≥ 0

Answer: 1/18 I hope this helps :D

Answer: 36

Step-by-step explanation:

Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:

p1q1 + p2q2 = Y

Substituting the given values:

2q1 + 1q2 = 100

We can rewrite this as:

q2 = (100 - 2q1) / 1

Now, let's maximize Diogo's utility function:

U(q1, q2) = q1^0.2 * q2^0.8

Substituting the expression for q2:

U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8

To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:

dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0

Simplifying the equation:

0.2[(100 - 2q1) / q1]^0.8 = 0.8

[(100 - 2q1) / q1]^0.8 = 4

Taking both sides to the power of 1/0.8:

(100 - 2q1) / q1 = 4^(1/0.8)

Solving for q1:

100 - 2q1 = 4^(1/0.8) * q1

100 = (4^(1/0.8) + 2) * q1

q1 = 100 / (4^(1/0.8) + 2)

Calculating the value of q1:

q1 ≈ 12.77

Now we can substitute this value back into the budget constraint to find q2:

2q1 + q2 = 100

2(12.77) + q2 = 100

25.54 + q2 = 100

q2 = 100 - 25.54

q2 ≈ 74.46

Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

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a)Therefore, the method of moments estimator for θ is given by: θˆ = 1/σˆ2 = nS2/(X1 + X2 + … + Xn)  b) Therefore, the maximum likelihood estimator for θ is given by: θˆ = n/(X1 + X2 + … + Xn)

a. Estimator of θ using the method of moments

The method of moments involves setting the sample moments equal to their corresponding population moments. The first moment is the mean, and the second moment is the variance.

Thus, if we have a random sample X1, X2, …, Xn

from a distribution with mean µ and variance σ^2, then the method of moments estimator for these parameters would be:

μˆ = X¯σˆ2

μˆ = (1/n) ∑(Xi – X¯)2

where X¯ is the sample mean. Using the given probability density function a, we can calculate the population mean and variance as follows:

µ = E(X)

µ= 1/θ

σ2 = Var(X) = 1/θ^2

Thus, using the method of moments, we have:

μˆ = X¯ = (X1 + X2 + … + Xn)/n

σˆ2 = (1/n) ∑(Xi – X¯)2

σˆ2 = [(n – 1)/n] S2

where S2 is the sample variance.

Therefore, the method of moments estimator for θ is given by:

θˆ = 1/σˆ2

θˆ  = nS2/(X1 + X2 + … + Xn)

b. Finding the MLS

The maximum likelihood estimator (MLE) for θ is obtained by maximizing the likelihood function, which is the joint probability density function of the random sample.

Since the sample is from a distribution with probability density function a, the likelihood function is:

L(θ | X1, X2, …, Xn) = a(X1; θ) a(X2; θ) … a(Xn; θ)

L(θ | X1, X2, …, Xn) = (1/θ)n exp[-(X1 + X2 + … + Xn)/θ]

where exp is the exponential function.

Taking the natural logarithm of the likelihood function, we have:

ln L(θ | X1, X2, …, Xn) = n ln (1/θ) – (X1 + X2 + … + Xn)/θ

The derivative of the logarithm of the likelihood function with respect to θ is:

d/dθ [ln L(θ | X1, X2, …, Xn)] = –n/θ + (X1 + X2 + … + Xn)/θ^2

Setting the derivative equal to zero, we obtain:

n/θ + (X1 + X2 + … + Xn)/θ^2 = 0

θ = n/(X1 + X2 + … + Xn)

Therefore, the maximum likelihood estimator for θ is given by:

θˆ = n/(X1 + X2 + … + Xn)

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The alternative hypothesis (H1) would be that the mean of the bottles of cream is not equal to 8 ounces, indicating that the containers are being filled incorrectly. It can be written as: H1: μ ≠ 8 ounces where μ represents the population mean of the bottle cream fillings.

In the given scenario, the null hypothesis would be that the bottles of cream are being filled correctly with a mean of 8 ounces. The alternative hypothesis would be that the bottles of cream are not being filled correctly, meaning the true mean of the population is different from 8 ounces. However, the specific form of the alternative hypothesis would depend on the direction of the problem. If we are interested in knowing whether the mean filling amount is greater than or less than 8 ounces, we would use a one-tailed alternative hypothesis. If we are interested in determining whether the mean filling amount is simply different from 8 ounces, we would use a two-tailed alternative hypothesis.

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Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

D

Step-by-step explanation:

Same X, but different Y value, it is five apart in D

The closest value to the greatest height reached by the projectile is approximately 382 meters. option 3.

To find the greatest height reached by the projectile, we need to determine the maximum value of the quadratic function h(t) = -4.9t^2 + 86t + 6.2. The maximum height corresponds to the vertex of the parabolic function.

The formula for the x-coordinate of the vertex of a quadratic function in the form ax^2 + bx + c is given by x = -b / (2a). In this case, a = -4.9 and b = 86.

Plugging in the values, we have x = -86 / (2 * -4.9) = -86 / -9.8 = 8.775.

We are given that the projectile hits its peak height at t = 8.775 seconds, which confirms that our calculations are correct.

Now, to find the greatest height, we substitute t = 8.775 back into the function h(t):

h(8.775) = -4.9(8.775)^2 + 86(8.775) + 6.2

≈ -4.9 * 76.951 + 753.15 + 6.2

≈ -377.1049 + 753.15 + 6.2

≈ 382.2451

Therefore, the closest value to the greatest height reached by the projectile is approximately 382 meters. So Option 3 is correct

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Given: 8 runners

To Determine: number of ways the runners would be rewarded

Solution

Using the multiplication principle

Hence, the number of ways they can be rewarded is god, silver and bronze is 336

Answer:

If you can foot a dab and that dab can foot another dab how much dabs can the foot dab like a foot dab

Step-by-step explanation:

FOOT DAB

Answer: 4?

Step-by-step explanation: 12 inches length times the 4 inches width = 48 square inches. but then you have to subtract the (22 times 2 = 44)

48-44=4???

Answer:

17.9 miles

Step-by-step explanation:

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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