PLSS HELPP AND QUICK PLSSS

Answer:

choice 2, y=1/4x

Step-by-step explanation:

Answer:

\(y=-\dfrac{153}{35}\).

Step-by-step explanation:

The given equation is

\(0.15(y-0.2)=2-0.5(1-y)\)

Using distributive property, we get

\(0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)\)

\(0.15y-0.03=2-0.5+0.5y\)

\(0.15y-0.03=1.5+0.5y\)

Isolate variable terms.

\(0.15y-0.5y=1.5+0.03\)

\(-0.35y=1.53\)

Divide both sides by -0.35.

\(y=\dfrac{1.53}{-0.35}\)

\(y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}\)

\(y=-\dfrac{153}{35}\)

Therefore, \(y=-\dfrac{153}{35}\).

Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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In this problem, the distributive property is very important, but there is another thing that we can look at to make this much easier. We notice that the terms on the left are being multiplied by 6. We can rewrite the right side so that it is also a multiple of 6:

6(3c - 5d + 6) = 6(1)

Now, we can divide both sides by 6, and we get:

6(3c - 5d + 6) = 6(1)

3c - 5d + 6 = 1

3c - 5d = -5

Answer:

D. (Rational)

Step-by-step explanation:

Natural : Counting numbers (1,2,3...)

Whole : Natural numbers including 0 (NO DECIMALS/FRACTIONS)

Integer : Whole numbers and their opposites (positive, negative.)

Rational : Any number that can be written as a fraction/decimal, a number that can terminate or repeat.

In this case, 0.2681 is rational because it is a terminating decimal.

Answer:

h = 112.5 feets

Step-by-step explanation:

The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :

\(h=\dfrac{v_o^2}{16}\sin\theta\cos\theta\)

We know that, \(2\sin\theta\cos\theta=\sin2\theta\)

So,

\(h=\dfrac{v_o^2}{32}\sin2\theta\)

Now we need to find the maximum horizontal distance possible and at what angle does this occur.

For maximum distance angle should be 45 degrees. Som,

\(h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}\)

So, 112.5 feets is the maximum possible distance.

Answer:

Simplify−412+16t+48.h=16t−1633

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

the 0 is not significant since it is not sandwiched between 2 sigfigs and is not the last digit after a decimal

Answer:

656 cm2

Step-by-step explanation:

Hope this helps!

Answer: 318 miles

Step-by-step explanation:

150 divided by 10 is 15, so 10% = 15

150 divided by 100 is 1.5, so 1% is 1.5

x2, so 2% is 3.

That means 15 + 3 = 12%, so 12% = 18.

150 = Thursday

150 + 18 = Friday

150 + 150 + 18 = 318 miles

Step-by-step explanation:

2x+1=17

2x=16 you divide here

x=8

so the number are as follows 8 and 9

Answer:

16

Step-by-step explanation:

because it's g of 7 use the third equation.

(7+1)(7-5) = 8x2 = 16

Answer:

Step-by-step explanation:

From the question,  since it will take 90 days that is 3 months for her hourly pay to increase to $8 per hour

we proceed to calculate her pay for the first 3 months

she works a total of 32 hours in a week

hence for three months, she would work 32*4*3= 384hours

therefore her pay for three months is= 7.5*384= $2880

Now the remaining one month her pay rate has been increased to $8 per hour

the number of hours in one month is 32*4= 128 hours

her pay would be 128*8= $1024

Her straight time pay for 4months is $2880+$1024 = $3904

Answer:

MIT economics professor Richard Bookstaber put it simply in his book “The End of Theory”: “No man is better than a machine, and no machine is better than a man with a machine.” ... Humans are too emotion-driven and susceptible cognitive biases, while machines lack an understanding of human thinking.

Answer:

yesThe Liverpool researchers estimate that the robot is able to work 1,000 times faster than a human scientist, and highlight that it is “unlikely a human researcher would have persevered with this multivariate experiment using manual approaches given that it might have taken 50 experiments or 25 days

QUESTION A

Player E has 3.1 free throw attempts and 10.4 points.

This is represented by the point labelled D in the image.

QUESTION B

The point (2.1, 18.6) can be compared to the table.

When we do so, we can see that player B has the same values for free throw attempts and points.

Thus, that point represents the data for player B.

QUESTION C

Player O scored 14.3 points and 4.8 free throw attempts. This can be shown in the

It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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Answer:

6 pies

36/6=6

Hope this helps

Answer:

its 4,000

Step-by-step explanation:

The statement that is true about the dot plots is:  Range for Week 1 equals range for Week 2.

Range is simply the difference between the highest data point and the lowest data point in a data set.

Range for Week 1:

Range = 89 - 62

= 27

Range for Week 2:

Range = 89 - 62

= 27

The sentence of median and mean doesn't satisfy the situation.

Hence, Range for Week 1 equals range for Week 2.

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Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

Divide both sides of the above equation by 7.

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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we need to find the positive even integers less than k that satisfy the condition nx divided by x leaves a remainder of 2.

To solve this problem, we need to use the information given and work step by step. Let's break it down:

1. The number of toy cars that Ray has is a multiple of x. This means the number of cars can be represented as nx, where n is a positive integer.

2. When Ray loses two cars, the number of cars he has left is a multiple of x. This means (nx - 2) is also a multiple of x.

3. If x is a positive even integer less than k, we need to find the possible values for x.

Now, let's analyze the conditions:

Condition 1: nx - 2 is a multiple of x.
To satisfy this condition, nx - 2 should be divisible by x without a remainder. This means nx divided by x should leave a remainder of 2.

Condition 2: x is a positive even integer less than k.
Since x is even, it can be represented as 2m, where m is a positive integer. We can rewrite the condition as 2m < k.

To find the possible values for x, we need to find the positive even integers less than k that satisfy the condition nx divided by x leaves a remainder of 2. The number of possible values for x depends on the value of k. However, without knowing the value of k, we cannot determine the exact number of possible values for x.

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Answer:

1.5 million

Step-by-step explanation:

700,000x45=31,500,000

33,000,000-31,500,000=1,500,00

The inequality that can be used with the squeeze theorem to calculate the limit of f(x) is \(-x^{2} \leq x^{2} cos\frac{1}{x^{2} } \leq x^{2} or -x^{2} \leq f(x)\leq x^{2}\)

Squeeze Theorem,

If f(x)g(x)h(x) for all numbers and at some point x=k we get f(k)=h(k), then g(k) must also be equal to them, according to the squeeze (or sandwich) theorem. Theorem: By "squeezing" sin(x)/x between two better functions and using them to discover the limit at x=0, we can utilize them to obtain tricky limits like sin(x)/x at x=0.

The given function is \(f(x) = x^{2} cos(\frac{1}{x} )\)

The range of the cos function is from -1 and 1.

We have,

\(-1\leq cos\frac{1}{x^{2} } \leq 1\\\)

Multiplying the above inequality by x^2, we get :

\(-x^{2} \leq x^{2} cos\frac{1}{x^{2} } \leq x^{2}\)

The above equation can be rewritten as,

\(-x^{2} \leq f(x)\leq x^{2}\)

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a. The sales tax is 6% of the original price of $60, which is:

0.06 x $60 = $3.60

So the total cost of the watch including tax is:

$60 + $3.60 = $63.60

b. The discount is 15% of the original price of $60, which is:

0.15 x $60 = $9

So the sale price of the watch is:

$60 - $9 = $51

c. To find the total cost of the watch including tax, we need to calculate the sales tax on the discounted price of $51:

0.06 x $51 = $3.06

So the total cost of the watch for your friend is:

$51 + $3.06 = $54.06

d. The percent change in the total cost can be calculated using the formula:

percent change = (new value - old value) / old value x 100%

For you, the old value was $60 and the new value (including tax) was $63.60. So the percent change is:

(percent change) = ($63.60 - $60) / $60 x 100% ≈ 6%

For your friend, the old value was $60 and the new value (including tax and discount) was $54.06. So the percent change is:

(percent change) = ($54.06 - $60) / $60 x 100% ≈ -9% (note that this is a decrease, since the new value is less than the old value)

Answer: don’t listen to that answer it’s at time 5 hours Sean and billy etc

AT TIME = 5 HOURS, SEAN AND BILLY BOTH MEASURE THE SAME PRODUCTIVITY

Step-by-step explanation:

I’m visual dude. Smart dude. So if u looo at x=5 the only intersection was with Tom and Billy. Not Sean.

Billy would probably be the most productive worker if these tendencies persisted, and Sean and Billy's productivity were assessed again in a few more hours. Thus, option B is correct.

The statement "If these trends continued and Sean and Billy's productivity was measured again in a few more hours, Billy would likely be the most productive employee" cannot be determined as true or false based on the given information.

While it is true that both Sean and Billy's productivity rates increased throughout the day, it is not clear how much they increased or if Billy's rate increased more than Sean's.

Therefore, it is uncertain whether Billy would be the most productive employee if their productivity rates were measured again in a few more hours.

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The expressions for the given are r'(t) = \(\frac{1}{3}\) \(t^\frac{-2}{3}\), A'(t) =  \(\frac{8\pi }{3}\) \(t^\frac{-1}{3}\) and V'(t) =\(\frac{4\pi }{3}\) .

Volume of a three dimensional shape is the space occupied by the shape.

Given that, you are blowing air into a spherical balloon at a rate of 4pi/3 cubic inches per second.

So, \(\frac{dV}{dt}\) = \(\frac{4\pi }{3}\) inches³

Integrating on both sides with respect to t,

V = \(\frac{4\pi }{3}\) t

We have that, V = \(\frac{4\pi }{3}\) r³

\(\frac{4\pi }{3}\) r³ =  \(\frac{4\pi }{3}\) t

r = \(t^\frac{1}{3}\)

r'(t) = \(\frac{dr}{dt}\) = \(\frac{1}{3}\) \(t^\frac{-2}{3}\)

A(t) = 4πr²

A'(t) = 4π × 2r × \(\frac{dr}{dt}\)

      = 8π × \(t^\frac{1}{3}\) ×  \(\frac{1}{3}\) \(t^\frac{-2}{3}\)

      = \(\frac{8\pi }{3}\) \(t^\frac{-1}{3}\)

Hence the values are found.

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