1 over 6x plus 2 over 3x is equal to 5
find the value of x
1/6x + 2/3x =5

Answer:

it is A

Step-by-step explanation:

i had the question on ed

Answer:

y greater - than - or - equal - to StartFraction 2 over 15 EndFraction

Step-by-step explanation:

The sampling method used by the employment agency to determine the employment rate in the city is stratified random sampling.

The correct answer choice is option D.

Simple random sampling involves the researcher randomly selecting a subset of participants from a population.

Stratified random sampling is a method of sampling that involves the researcher dividing a population into smaller subgroups known as strata.

Purposive sampling as the name implies refers to a sampling techniques in which units are selected because they have characteristics that you need in your sample.

Convenience sampling involves a researcher using respondents who are “convenient” for him.

Complete question:

An employment agency wants to examine the employment rate in a city. The employment agency divides the population into the following subgroups: age, gender, graduates, nongraduates, and discipline of graduation. The employment agency then indiscriminately selects sample members from each of these subgroups. This is an example of

a. purposive sampling.

b. simple random sampling.

c. convenience sampling.

d. stratified random sampling.

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The current yield on the bonds is 6.77%.  The yield to maturity (YTM) is 7.19%. The effective annual yield is 7.36%.

The current yield is calculated by dividing the annual coupon payment by the current market price of the bond. In this case, the coupon payment is 6.4% of the par value, which is made semiannually. Therefore, the annual coupon payment is (6.4% / 2) = 3.2%. The current market price of the bond is 94.31% of the par value, or 0.9431. Dividing the annual coupon payment by the market price, we get (3.2% / 0.9431) = 3.39%. Since the coupon payments are made semiannually, we double the current yield to get 6.77%.

The yield to maturity (YTM) takes into account the current market price of the bond, the coupon payments, and the time remaining until maturity. It represents the total return that an investor would receive if the bond is held until maturity. To calculate the YTM, we use trial and error or a financial calculator. For this bond, the YTM is found to be 7.19%.

The effective annual yield is the annualized return considering the compounding effect of the semiannual coupon payments. To calculate the effective annual yield, we use the formula: (1 + (semiannual yield))^2 - 1. In this case, the semiannual yield is 3.39%, so the effective annual yield is ((1 + 0.0339)^2) - 1 = 7.36%.

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The relationship between y and x is described as inversely proportional to the cube root of x. When x is divided by 125, the value of y changes.

To find the change in y, we first need to determine the constant of proportionality between y and x. By using the given values x = 64 and y = 12.75, we can calculate the constant of proportionality. Then, we can calculate the new value of y when x is divided by 125.

The inverse proportionality between y and the cube root of x can be expressed as y = k/(∛x), where k is the constant of proportionality. Given that x = 64 and y = 12.75, we can substitute these values into the equation:

12.75 = k/(∛64)

To find the constant k, we need to solve for it. Taking the cube root of 64 gives us 4:

12.75 = k/4

Multiplying both sides by 4:

k = 51

Now, we can use this value of k to find the new value of y when x is divided by 125:

y' = 51/(∛(64/125)) = 51/(∛(0.512))

Simplifying further:

y' ≈ 51/0.8 ≈ 63.75

Therefore, when x is divided by 125, the value of y changes to approximately 63.75.

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Answer:

\(\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24\)

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \(\triangle ACD\) and the hypotenuse of \(\triangle ADB\).

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\(\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}\)

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \(\angle CAD\). The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\(\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}\)

Now use this value in the Law of Sines to find AD:

\(\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}\)

Recall that \(\sin 45^{\circ}=\frac{\sqrt{2}}{2}\) and \(\sin 60^{\circ}=\frac{\sqrt{3}}{2}\):

\(AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}\)

Now that we have the length of AD, we can find the length of AB. The right triangle \(\triangle ADB\) is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio \(x:x\sqrt{3}:2x\), where \(x\) is the side opposite to the 30 degree angle and \(2x\) is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent \(2x\) in this ratio and since AB is the side opposite to the 30 degree angle, it must represent \(x\) in this ratio (Derive from basic trig for a right triangle and \(\sin 30^{\circ}=\frac{1}{2}\)).

Therefore, AB must be exactly half of AD:

\(AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24\)

Answer:

\( \displaystyle 25 \sqrt{6} \)

Step-by-step explanation:

the triangle ∆ABD is a special right angle triangle of which we want to figure out length of its shorter leg (AB).

to do so we need to find the length of AD (the hypotenuse). With the help of ∆ADC it can be done. so recall law of sin

\( \boxed{ \displaystyle \frac{ \alpha }{ \sin( \alpha ) } = \frac{ \beta }{ \sin( \beta ) } = \frac{ c}{ \sin( \gamma ) } }\)

we'll ignore B/sinB as our work will be done using the first two

step-1: assign variables:

step-2: substitute

\( \displaystyle \frac{100}{ \sin( {45}^{ \circ} )} = \frac{AD }{ \sin( {60}^{ \circ} )} \)

recall unit circle therefore:

\( \displaystyle \frac{100}{ \dfrac{ \sqrt{2} }{2} } = \frac{AD }{ \dfrac{ \sqrt{3} }{2} } \)

simplify:

\(AD = 50 \sqrt{6} \)

since ∆ABD is a 30-60-90 right angle triangle of which the hypotenuse is twice as much as the shorter leg thus:

\( \displaystyle AB = \frac{50 \sqrt{6} }{2}\)

simplify division:

\( \displaystyle AB = \boxed{25 \sqrt{6} }\)

and we're done!

Answer:

first and last ones are functions

Step-by-step explanation:

It's a function if the x-values do not repeat.

HTH :)

Answer:

\(n=35\)

Step-by-step explanation:

From the question we are told that:

Standard Deviation \(\sigma=4min\)

Let

\(CI=95\%\)

Since

Significance level \(\alpha\)

\(\alpha =1-CI\)

\(\alpha =1-0.95\)

Therefore

\(Z_{\alpha/2}=Z_{0.025\)

\(Z_{\alpha/2}}=1.96\)

Generally the equation for Sample size is mathematically given by

\(n = (Z_{\alpha/2}* \frac{\sigma}{E})^2\)

\(n= \frac{1.96 * 3}{1}^2\)

\(n=35\)

Answer:

The slope: \( \frac{1}{2} \)

Point: (1,4)

Answer:

I hope this helps!

The identities used by student A is

1 - sin²x= cos²x

sin x/ cos x = tan x

Equations are mathematical expressions that have two algebraic expressions on either side of the equals (=) symbol.

It proves that the expressions printed on the left and right sides are equally valid.

A frequent mathematical formula is LHS = RHS.

A few of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign.

When creating an equation, the "=" sign and terms on both sides are required.

We have to prove (tan x)(sin x) = sec x − cos x.

Now, student A and student B perform the proof.

Student A starts with tan x sin x then approaches to prove sec x - cos x.

But, student B starts with tan x sin x but has failed to prove sec x - cos x.

The identities used by student A is

1 - sin²x= cos²x

sin x/ cos x = tan x

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Answer:

  (a)  0.05z +0.25(54 -z) = 6.90

Step-by-step explanation:

Where z is the number of nickels the student has, an equation can be written that expresses the value of all coins in terms of z.

We assume suggested equations are ...

__

If each of z nickels has the value $0.05, then their total value will be ...

  z × ($0.05)

If we remember that our values are in dollars, we can write this without the dollar sign as ...

  0.05z

__

Each of the 54 coins that is not a nickel will be a quarter, worth $0.25. There will be (54-z) of them, so their value in dollars is ...

  0.25(54 -z)

__

An equation we can use to find the value of z is the one that relates these individual coin values to the total value of all the coins:

  value of nickels + value of quarters = total value

  0.05z +0.25(54 -z) = 6.90 . . . . . . an equation for determining z

This matches the first choice of our presumed list of choices for the equation.

Answer:

12                                        

Step-by-step explanation: 60

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:

Determine or clarify the meaning of unknown and multiple-meaning words and phrases by using context clues, analyzing meaningful word parts, and consulting general and specialized reference material

Step-by-step explanation:

The complete question is :

How do uv-induced dna lesions lead to mutation? drag the terms on the left to the appropriate blanks on the right to complete the sentences. not all terms will be used.

Answer:

When cells enter S phase with Ultraviolet-induced DNA lesions, the replicative DNA polymerases stall at the lesion.

Step-by-step explanation:

As a result of photosensitization, which causes the production of a free radical that interacts with DNA and oxidizes its bases, ultraviolet radiation causes oxygen-dependent DNA damage. Mutations occur when these oxidized bases don't pair properly during the replication process. The various types of DNA damage caused by ultraviolet radiation result in particular types of mutations and the development of skin cancer in people, frequently decades after initial exposure. There are noticeable UV-induced DNA lesions that are caused by various UV wavelengths.

When cells enter S phase with Ultraviolet-induced DNA lesions, the replicative DNA polymerases stall at the lesion.

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Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Step-by-step explanation:

Our total add is

= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When we spherical it up to nearest tens

7.95 = 8.00

8.11 = 8.00

78.5 = 79

8.05 = 8.00

79.4 = 79.0

0.815 = 1

when we estimate the rational numbers with an extra operation once done,our results is

= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.

for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.

Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.

Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong

The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³

Given,

A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm

How to determine the volume

The formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Where;

r is the radius of the sphere

pi takes the value 3.14

From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm

Then, radius  a = 5mm

Radius b = 5 + 0. 1 = 5. 01mm

Now, substitute the values into the formula

Volume, v = 4/ 3 (3.14)(5)³

v = 4/ 3 (392.5)

v = 523. 3 mm³

For radius of 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 mm³

The change in volume = 555. 4 - 523. 3 = 32. 06 mm³

Hence, the change in volume is 32. 06 mm³

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Answer:

5.1 × 10^7

look up scientific calculator :)

Answer:

2.5

Step-by-step explanation:

EG = EF + FG;

5x-8 = 2 + 3x-5

2x = 5

x = 2.5

FG = 3x-5 = 2.5

Answer:

Yes!

Step-by-step explanatio:

The equation of the line of best fit is given as y = -11.2X + 1585

The slope indicates that the number of student would decrease by 11.2

To the nearest thousandth, The value of R is -0.9842. This shows that there is a strong negative correlation.

The x and the y values would be inputted . The output is as shown on the image. Then the negative value of the slope tells us that there is a decrease in the number of students

From the attached solution, the graph shows the slope is given as  y = -11.2X + 1585

The negative value shows that there is a decrease in the number of students. That is shown in the slope of -11.2

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Weighing using a tared container is not appropriate due to the potential for errors and inaccuracies. This method can impact the results by introducing uncertainties in the measurements.

Using a tared container involves placing the substance to be weighed on a container that has already been weighed and then subtracting the weight of the container to obtain the weight of the substance alone. While this method is commonly used for qualitative analysis or when the accuracy requirements are not strict, it is not suitable for quantitative preparation where precise measurements are essential.

The use of a tared container introduces several potential sources of error. First, the accuracy of the tare weight might not be exact, leading to uncertainties in subsequent measurements. Additionally, the tare weight may change over time due to factors like evaporation or contamination, further affecting the accuracy of subsequent measurements. Moreover, the process of transferring the substance to the tared container introduces the risk of loss or gain of material, leading to errors in the final measurements.

Overall, relying on weighing with a tared container for quantitative preparation can result in inaccurate quantities of the substance being weighed, compromising the reliability and reproducibility of experimental results. Therefore, more precise weighing techniques, such as using calibrated weighing balances or analytical techniques, should be employed for quantitative preparations.

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The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

\(6x - \frac{3}{X^2} + 2\)

Step-by-step explanation:

Hope this is correct and helps you! :))

Answer:

4777

Step-by-step explanation:

Answer:

then KD would be equal?

Step-by-step explanation:

not sure, but try that

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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