Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.

Answer:

3.1416

Step-by-step explanation:

A=pi*r^2, differentiate with respect to t both sides

dA/dt=2*pi*r*dr/dt

dA/dt=2*pi*5*(0.1)

dA/dt=pi=3.1416 cm^2/sec

Step-by-step explanation:

since the user is listed as beginner, I was wondering, if (while correct) the answer should be based on differentiation (rather advanced topic).

I thought originally this would be about sequences.

and I wondered about the start value.

in any case, here a different view.

the area of a circle is

Ac old = pi × r²

now, r is increasing by 0.1

Ac new = pi×(r+0.1)² = pi×(r² + 0.2r + 0.01) =

= pi×r² + pi×0.2r + pi×0.01 =

= Ac old + pi×0.2r + pi×0.01

so, the increase of the area is

pi×0.2r + pi×0.01

for r=5

pi×0.2×5 + pi×0.01

pi×1 + pi×0.01 = pi + p×0.01 = pi×(1 + 0.01) =

= pi×(1 + (radius change)²)

now, it depends on what your teacher wants to see here.

a "digital stair case" 0.1 by 0.1 increase/sequence approach ?

in this case you might also want to calculate the above with r=4.9 (as only with the last 0.1 step r reaches 5).

and either the r=4.9 (result a tiny bit less than pi) or r=5 (result a tiny bit larger than pi) is correct, of simply the value in the middle (practically pi).

or it was meant to be a continuous increase (not step by step).

in which case we need then to calculate the limit with "radius change" going to 0. which delivers pi as rate result (as with the differentiation).

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

0.06786616

Step-by-step explanation:

To convert an inch measurement to a mile measurement, divide the length by the conversion ratio. The length in miles is equal to the inches divided by 63,360.

Answer:

0.06786616161... or 215/3168

Step-by-step explanation:

Divide 4300 by 63360 (amount of inches in a mile)

Answer:

44 students per bus

Step-by-step explanation:

400-4= 396.

396/9=44

Answer:

40kg

Explanation:

a=2m/s^

f=20N

M=?

we know

f=m*a

or, 20=m*2

or, 2m=20

or, m= 20/2

:. m=10 kg

The distance between the points (-9, 5) and (34, 5) will be 43 units.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The points are given below.

(-9, 5) and (34, 5)

Then the distance between the points is given as,

D² = (34 + 9)² + (5 - 5)²

D² = (43)²

D = 43 units

The distance between the points (-9, 5) and (34, 5) will be 43 units.

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x3 - 1/2x + 2 = 0

if you mean x³, and not x3, then heres the answer to the problem: (if it is something else please let me know)

x³ - 1/2x + 2 = 0

              -2     -2

x³ - 1/2x = -2

^no side is 0 :D

The length of base of triangle is, 2√2

And, Value of angles are 54.6° and 35.4°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Perpendicular length = 4

Hypotenuse = 5

Now, By Pythagoras theorem;

Base² = 5² - 4²

Base² = 24 - 16

Base² = 8

Base = 2√2

We know that;

tan θ = Perpendicular / Base

tan θ = 4/2√2

tan θ = √2

θ = 54.6°

Hence, The value of angle is,

y = 180 - (90 + 54.6)

y = 180 - 144.6

y = 35.4

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Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

Answer: The answer is 652.8

Step-by-step explanation:

First, one dozen cupcakes is 12.. So do 12*2=24 to get two dozen cupcakes.

Next, do 27.2*24=652.8

The quadrilaterals have the following congruent angles: ∠ A ≅ ∠ W, ∠ B ≅ ∠ X, ∠ C ≅ ∠ Y, ∠ D ≅ ∠ Z.

Herein we find the case of two similar quadrilaterals, that is, two quadrilaterals that have four pairs of congruent angles and four pairs of proportional sides.

Thus, by direct observation, we have the following conclusions on congruence of angles and proportionality of sides:

Angles

∠ A ≅ ∠ W

∠ B ≅ ∠ X

∠ C ≅ ∠ Y

∠ D ≅ ∠ Z

Sides

AB / XW = BC / XY = CD / YZ = AD / WZ

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Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

\(x = 4, y = 5\)

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

\(x - y = -1\)

\(2x - y = 3\)

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

\(x-y=-1\)

Add y to both sides

\(x-y+y=-1+y\)

\(x=-1+y\)

Thus, option A) is true.

NOW LET US SOLVE THE REMAINING PORTION

\(\mathrm{Subsititute\:}x=-1+y\) to solve for y

\(\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}\)

\(-2+y=3\)

\(y=5\)

For x = -1 + y

substitute y = 5

\(x=-1+5\)

\(x=4\)

Thus, the solution to the system of equations be:

\(x = 4, y = 5\)

Answer:

The answer to this question is $72. The equation is x + 17 = 89

Step-by-step explanation:

Equation: x + 17 = 89

Cameron has $89 so 89 would go behind the equal sign.

He has 17 dollars more than he needs. Whenever more is used that usually indicates that it will be a plus sign. So we will do + 17 = 89.

Finally we need to add the x to complete the equation. This will be shown as x + 17 = 89.

If you solve this equation it will equal x = 72.

If this helped you please subscribe to The Game Rater. Thank you.

Answer:

89-17

Step-by-step explanation:

To find how much Cameron’s skateboard costs you need to take away 17 from your starting amount as you have more. Meaning we subtract the 17 to find how much the skateboard costs.

Answer:

Following are the answer to the given question:

Step-by-step explanation:

Following are the null and alternative Hypothesis:

\(Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4\)

Rejection Zone

This is left tailed test, for α = 0.2 and df = 39

\(critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851\)

Testing statistic:

\(t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}\)

  \(= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162\)

\(P-value = 0.0015\)

P-value < 0.2, reject the null hypothesis.

Approach to the Rejection Zone:

The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.

Answer:

1.  χ² =  15.3902

2. The p value is :_____.a. less than .005

3.  Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %=   33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the employee health insurance coverage is independent of the size of the company

against the claim

Ha: the employee health insurance coverage is not independent of the size of the company

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with ( 3-1) (2-1)=  2 d.f

4) Computations:

Under H0 , the observed frequencies are :

Observed       Expected E        (O-E)         (O-E)²             (O-E)²/E

33                   42                      -9               81                    1.928  

68                  63                         5              25                  0.3968

88                  84                         4               16                  0.1904

17                    8                           9              81                  10.125

7                     12                          -5             21                    1.75

12                    16                         -4              16                     1              

                                                                                          15.3902    

Expected Values are calculated using the formula :

Row Total * Column Total / sample size

E1= (33+17) (33+ 68+88)/ 50+75+100= 42

E4= (33+17) (17+ 7+ 12)/ 50+75+100=8

E2= (68+7) (33+ 68+88)/ 50+75+100= 63

E5= (68+7)  (17+ 7+ 12)/ 50+75+100= 12

E3= (88+12) (33+ 68+88)/ 50+75+100= 84

E6= (88+12)  (17+ 7+ 12)/ 50+75+100= 16

5) The critical region is χ² ≥ χ² (0.05)2 = 5.99

6) Conclusion:

The calculated χ² =  15.3902    falls in the critical region χ² ≥  5.99  so we reject the null hypothesis that the employee health insurance coverage is NOT independent of the size of the company.

2. The p value is :_____.

a. less than .005

The p-value is .000385.

3.  Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %=   33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

Step-by-step explanation:

Part A:

x = # of days

R:  1 hr + 3/4 hr/day(x)

J:  4 hr + 1/2 hr/day(x)

1 + 3/4x = 4 + 1/2x

3/4x - 2/4x = 3

1/4x = 3

x = 12 days

After 12 days of practicing (not including the first Saturday), they each will have practiced 10 hours

Part B:

Saturday plus 12 more days →

Saturday 1-Sun 2- Mon 3-Tues 4-Wed 5-Thurs 6-Fri 7-Sat 8-Sun 9-Mon 10-Tues 11-Wed 12-Thursday

They both will have practiced 10 hours on the second Thursday after they started on Saturday

Answer:

the answer to this is

A) nonlinear

Step-by-step explanation:

this is not linear because the line is not a line that goes in 1 direction. It has points of an increase and decrease so it is non linear

Answer:

it is not linear

Step-by-step explanation:

It is not a linear line because it is not going straight

Therefore the derivative of the function y= \(\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV\) is dy/dx=- sinx(3 + \(cosx^{3}\)) -cosx(3 + \(sinx^{3}\))

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function value to a change in its argument. An important calculus tool is the derivative.

Here,

y= \(\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV\)

y=\([\int\limits^{cosx}_{c} +\int\limits^{c}_{sinx}] {(3+V^{3}) } \, dV\)

y=\(\int\limits^{cosx}_{c} {(3+V^{3}) } \, dV +\int\limits^{c}_{sinx}{(3+V^{3}) } \, dV\)

Therefore by the  Fundamental Theorem of Calculus

dy/dx=(3 + \(cosx^{3}\))dcosx/dx - (3 + \(sinx^{3}\))dsinx/dx

dy/dx=- sinx(3 + \(cosx^{3}\)) -cosx(3 + \(sinx^{3}\))

Therefore the derivative of the function y= \(\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV\) is dy/dx=- sinx(3 + \(cosx^{3}\)) -cosx(3 + \(sinx^{3}\))

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If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

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

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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Answer:

  y = -3

Step-by-step explanation:

You want the equation of a line with slope 0 through the point (-2, -3).

The point-slope form equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Adding k to both sides gives the "y =" form ...

  y = m(x -h) +k

When m=0 and (h, k) = (-2, -3), this becomes ...

  y = 0(x -(-2)) + (-3)

  y = -3 . . . . . . simplified

__

Additional comment

Anything times 0 is 0. So, the product 0(x +2) is 0.

Anything added to 0 is unchanged. So, the sum y = 0 -3 is y = -3.

When the slope is zero we get y= -3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

As, the Point-slope form

The point-slope form equation for a line with slope m through point (h, k) is

y = mx + b

When m=0 and (h, k) = (-2, -3)

y = 0(x -(-2)) + (-3)

y = -3

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The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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Answer:

Since this (looks) like a homework assignment/test, I'll give you a hint.

Step-by-step explanation:

A function is where you have a input, that usually involves an equation that you have to replace the unknown with, to get the output.

Don't get it? Well, I didn't either.

What's great about this problem that you don't neccessarily have to know what the definition is.

A function can only output. So if you inputted the number 6, and got the output -3, you can't have another number that also had the output -3, and vice versa. This is my hint for the number 1.

Number 4 is a bit harder, but here's my hint:

Look for a pattern.

There will be a rise in false positives and a fall in false negatives.This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model.

When the cut-off value is increased, the False Positives will increase, meaning that more observations will be incorrectly classified as positives. The False Negatives will decrease, meaning that fewer observations will be incorrectly classified as negatives. At the same time, the True Positives and True Negatives will remain unchanged, as long as the variables in the fitted logistic regression model remain the same.When the cut-off value is increased, the logistic regression model will be more stringent in its classification of observations. This means that the model will classify more observations as false positives (incorrectly classifying them as positives) and fewer as false negatives (incorrectly classifying them as negatives). On the other hand, the model will not be affected by the change in cut-off value when it comes to true positives and true negatives. This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model, which remain unchanged when the cut-off value is changed.

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