The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is ____

Answer: C or the third choice 0.2925

I just took the test I got it right!

Step-by-step explanation:

You multiply 0.13 by 2.25

0.13×2.25=0.2925

Answer:

The answer is c

Step-by-step explanation:

I just did a quiz.

Given:

The length of yarn needed, l=23 1/4 feet.

The length of a yarn bundle, L=11 1/2 feet.

The number of bundles of yarn needed can be calculated as,

Therefore, 3 bundles is needed by Jenna to make the scarf.

The part of leftover yarn is,

Hence, 45/46 part of a bundle of yarn will be left.

Now, the length of leftover yarn is,

Therefore, 111/4 feet of yarn will be left.

In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.

Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.

This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.

Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.

Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.

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The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Because the scaling factor is a whole number, which is 3, the enlargement of the dashed triangle is a dilatation.

Recall:

Thus:

For the dashed triangle, measure the separation between the points (2, -2) and (0, -2).

Using the coordinates (6, -6) and (0, -6) for the solid triangle, calculate the equivalent distance:

Scale factor = 6/2 = 3

The dilation is an enlargement because the scale factor is a whole number.

In conclusion, the enlarged dashed triangle indicates a dilatation because the scale factor, which is 3, is a whole number.

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I'm doing this right now too :)

You start by writing the original numbers given into a proportion, which would be

miles          

_____      

hours

Then you have to convert the top unit, miles, into feet. You have to use the rate 1mile:5280 feet. You write that as a proportion too.

miles        1

_____ =  ___

hours      5280

Next, you have to add a conversion rate for changing the hours into seconds. You'd use the rate 1 hour: 60 seconds.

miles        1          60

_____ =  ___  =  ____

hour        5280      1

Then you'd cross multiply to solve.

Hope I helped! Please mark me brainliest

Answer:

dk

Step-by-step explanation:

d

The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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Answer: -2/5 |x+1| +3=  13-2x/5

Step-by-step explanation:

    −2÷5(x+1)+3

Fraction  

5

−2

​

 can be rewritten as −

5

2

​

 by extracting the negative sign.

−

5

2

​

(x+1)+3

Use the distributive property to multiply −

5

2

​

 by x+1.

−

5

2

​

x−

5

2

​

+3

Convert 3 to fraction  

5

15

​

.

−

5

2

​

x−

5

2

​

+

5

15

​

Since −

5

2

​

 and  

5

15

​

 have the same denominator, add them by adding their numerators.

−

5

2

​

x+

5

−2+15

​

Add −2 and 15 to get 13.

−

5

2

​

x+

5

13

​

The vertex form of the function is f(x) = -2(x-4)^2 + 2

The standard vertex form of a function is expressed according to the expression;

f(x) = a(x-h)^2+k

where

a is a constant = -2

(h, k) is the vertex = (4, 2)

Substitute

f(x) = -2(x-4))^2+2

f(x) = -2(x-4)^2 + 2

Hence the vertex form of the function is f(x) = -2(x-4)^2 + 2

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Answer:

Yes

Step-by-step explanation:

Billy is 4'7

138 centimeters in feet is 4'5

sp billy is 2 inches over the requirment.

Answer: D. (3, -1)

Step-by-step explanation: its the only point that is in the line

Answer:

D. (3,-1)

Step-by-step explanation:

you use the midpoint formula

(x¹+x² y¹+y²)

( 2. , 2. )

then plug P and Q in for X and Y

Answer:

x = 24

Step-by-step explanation:

To solve the equation 4x² = 25, we can follow these steps:

1. Divide both sides of the equation by 4 to isolate x²:

  (4x²)/4 = 25/4

  Simplifying: x² = 25/4

2. Take the square root of both sides of the equation to solve for x:

  \(\sqrt{x^{2} } = \sqrt \frac{25}{4}\)

3. Simplify the square roots:

  x = ±\(\frac{\sqrt{25} }{\sqrt{4} }\)

\(\sqrt{25}\) = 5, and \(\sqrt{4}\) = 2.

4. Simplify further to get the final solutions:

  x = ±5/2

Hence, the solutions to the equation 4x² = 25 are x = 5/2 and x = -5/2.

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The derivative formula for the function g(x) = 15 - 8ln(x) is g'(x) = -8/x.

To find the derivative of g(x), we can use the power rule and the chain rule. The power rule states that the derivative of x^n is n*x^(n-1), and the chain rule allows us to differentiate composite functions.

In this case, g(x) is a combination of a constant function (15) and the natural logarithm function (ln(x)). The derivative of the constant term (15) is 0 since it does not depend on x.

The derivative of the natural logarithm function, ln(x), is 1/x. Therefore, using the chain rule, the derivative of -8ln(x) is -8 * (1/x), which simplifies to -8/x.

Hence, the derivative of g(x) = 15 - 8ln(x) is g'(x) = -8/x.

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Answer:

m = -2

b = -3

Step-by-step explanation:

Point slope formula of a line = \(y-y_{1} = M(x-x_{1} )\)

Where x1 and y1 are the coordinates of the point and M is the slope.

Given slope = -2

Point = (-7,11)

So x1 = -7 and y1 = 11

Substituting the values in the point-slope formula, we get:

\(y-11 = -2(x - (-7))\)

\(= > y = -2x -14 + 11\)

Or

\(y = -2x -3\)

Thus, m = -2 and b = -3

Answer:

Step-by-step explanation:

The length of the midsegment is  half of the base in this case.

12x = 8x + 40

4x=40

x=10

So it's 60

Answer:

60

Step-by-step explanation:

Answer:

infinitely many solutions cuz in mathmatices any problem has solution

Rieman sums are used to calculate the approximate value of the area under the curve of real functions.

A left Riemann sum uses rectangles whose top-left vertices are on the curve while the right Riemann sum uses rectangles whose top-right vertices are on the curve.

The width of each rectangle is given by:

Where a and b are the endpoints of the interval and n is the number of rectangles.

We are given the function:

y = ln x on the interval [2, 9]

And it's required to use n = 3 rectangles, thus:

For the left Riemann sum, we need to calculate the values of y for:

x = 2

x = 2 + w = 4.333

x = 2 + 2w = 6.667

f(2) = ln 2 = 0.6931

f(4.333) = 1.4662

f(6.667) = 1.8972

The area of the rectangles is the height by the base:

A = 0.6931 x 2.333 + 1.4662 x 2.333 + 1.8972 x 2.333

A = 9.4640

For the right Rieman sum, we need to calculate the values of y for:

x = 2 + w = 4.333

x = 2 + 2w = 6.667

x = 2 + 3w = 9

f(4.333) = 1.4662

f(6.667) = 1.8972

f(9)= 2.1972

Calculate the area of the rectangles:

A = 1.4662 x 2.333 + 1.8972 x 2.333 + 2.1972 x 2.333

A = 12.973

Note: The real value for the area (using integration) is 11.39

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

\(-8 + 4m = 2\)

Step 1: Simplify both sides of the equation.

\(4m - 8 = 2\)

Step 2: Add 8 to both sides.

\(4m - 8 + 8 = 2 + 8 \\4m = 10\)

Step 3: Divide both sides by 4.

\(\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}\)

Answer : \(\boxed {m = \frac{5}{2} }\)

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Have a great day/night!

❀*May*❀

Practical difficulties such as undercoverage and nonresponse in a sample survey cause additional errors. These errors can affect the accuracy and representativeness of the survey results.

Undercoverage refers to when certain groups or individuals in the target population are not adequately represented in the sample. This can lead to biased estimates and inaccurate conclusions. Nonresponse occurs when selected participants choose not to respond to the survey, which can introduce bias and decrease the precision of the results.

To minimize these errors, researchers can use appropriate sampling techniques, employ effective survey design, and implement strategies to increase response rates. It is important to address these practical difficulties in order to obtain reliable and valid data in a sample survey.

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The population at the end of the 5th year with a decline of 3% each year will be 2147.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given,

The bird population is declining at a rate of 3% a year.

Suppose the initial population = P

After the end of 1st year = 3% less than P = P - 0.03P = 0.97P

After the end of 2nd year = 3% less than after the end of 1st year

⇒  0.97P - 0.03 x 0.97P = 0.9409P

After the end of 3rd year = 3% less than after the end of 2nd year

⇒  0.9409P - 0.03 x 0.9409P = 0.912673P

After the end of 4th year = 3% less than after the end of 3rd year

⇒  0.912673P - 0.03 x 0.912673P = 0.88529281P

After the end of the 5th year = 3% less than after the end of 4th year

⇒  0.88529281P - 0.03 x 0.88529281P = 0.858734025P

Since, P = 2500

⇒ 0.858734025 x 2500 = 2146.83 = 2147

Hence "With a 3% annual population reduction, there will be 2147 people in the world at the end of the fifth year.".

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The sample size required in this case is 71 pupils, which must be tested in order for the margin of error to be equal to 3 points.

When it comes to statistics, selecting a relatively small representative sample and conducting hypothesis testing on it typically makes it easier to analyze a large population. By boosting the sample size, the margin of error, which represents the sampling procedure's statistical precision, can be decreased.

From standard normal tables,

P( -2.326 < Z < 2.326) = 0.98 here

The sample size required here is computed as:

n = [(z * α) / МОЕ]² = [(2.326 * 18) / 5]² = 70.12

Therefore, the required sample size, in this case, is 71.

To ensure that the margin of error is equivalent to 3 points, 71 students must be assessed.

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COMPLETE QUESTION:

An IQ test is designed to have scores that have a standard deviation of a 10. A simple random sample of students at a torgo university will be given the test in order to construct a 95% confidence interval for the mean 10 of all students at the university. How many students must be tested so that the margin of error will be equal to 3 points? The sample size required for the desired margin of error is.(Round your answer to next whole number.)

Answer:

Y=3x+2

Graph the line using the slope and y-intercept or two points

Slope: 3 Y-intercept: (0,2)

Point 1: (0,2) Point 2: (1,5)

-4x+2y=8

Graph the line using the slope and y-intercept or two points

Slope: 2 Y-intercept: (0,4)

Point 1: (0,4) Point 2: (1,6)

Answer:

A. One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.

Hope this Helps!

Answer:

you answer is A

Step-by-step explanation:

i got it right on the quiz

The range of a function is the set of all output values.

A function is a relation where each input value is assigned to only one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

To write the equation y = ax + b in function notation, substitute f(x) for y.

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The general solution of the logistic equation y' = 3y(1 - y/14) can be expressed as y = 14/(1 + (13/14)e^(-3t + C)), where C is the arbitrary constant and t is the independent variable.

To find the particular solution satisfying y(0) = 10, we substitute t = 0 and y = 10 into the general solution equation. This gives us 10 = 14/(1 + (13/14)e^C). Solving for C, we can find the particular solution.

The logistic equation is a type of differential equation commonly used to model population growth or the spread of a disease. In this equation, the derivative of y (denoted as y') is equal to the rate of change of y, which is determined by the current value of y and its relationship to a carrying capacity.

The logistic equation y' = 3y(1 - y/14) represents a population growing at a rate of 3y, but with a limiting factor. The term (1 - y/14) serves as the carrying capacity, where 14 represents the maximum population size. When y reaches 14, the carrying capacity term becomes zero, and the population growth stops.

To find the general solution of the equation, we separate the variables and integrate both sides. This leads to the equation y = 14/(1 + (13/14)e^(-3t + C)), where C is an arbitrary constant.

To find the particular solution that satisfies the initial condition y(0) = 10, we substitute t = 0 and y = 10 into the general solution. This gives us 10 = 14/(1 + (13/14)e^C). By solving for C, we can determine the value of the arbitrary constant and obtain the particular solution for y.

Note: The solution provided assumes that the initial condition y(0) = 10 is correct and that there are no other constraints or information given.

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store a = 1.06 per liter

store b = 1.05 per liter

store b is a better deal

2.12 / 2 = 1.06

3.15 / 3 = 1.05

Answer:

4/5

Step-by-step explanation:

I don't know how to explain it but yeah hope that helps you