Evaluate the algebraic expression.
y^2+x+y when x=-3 and y=-4

The radius of the lid would be 3. 5 cm.

To estimate the radius of the lid, we must first determine the circumference of the jar, which is equal to the jar's perimeter. The specified circumference is 21.98 cm.

The circumference is:

C = 2πr

We can solve for circumference as:

21. 98 = 2 πr

r = 21. 98 / ( 2 π )

r = 21. 98 / (2 x 3. 1416 )

r = 21. 98 / 6. 2832

r = 3. 5 cm

In conclusion, the radius of the lid is approximately 3.5 cm.

Find out more on radius at https://brainly.com/question/20489969

#SPJ1

Answer:

8/9

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

The P value of the question in the given condition is less than 0.05 hence it reject the null hypothesis.

According to the null hypothesis, an independent variable and a dependent variable have no association with one another. The results might be the result of an experimental or sampling error if the hypothesis indicates a link between the two factors. There is a relationship in the measured phenomena, but, if the null hypothesis is incorrect.

First we find the value of small z

z = (x - μ) / (α / \(\sqrt{100}\))

z = (7275 - 7100) / (1500/\(\sqrt{100}\))

z = (175) / 150

z = 1.1667

As we have verified the test statistic value and it matched.

Then,

P value approach

Hence P value must be equal to 0.0013

As p value is less than 0.05 , Reject the null hypothesis.

To learn more about p value visit;

https://brainly.com/question/28197808

#SPJ4

Answer:
m = 13/4

I hope this helps have a good day or night!

Answer:

\(\frac{13}{4}\)

Step-by-step explanation:

The slope of a line can be found with the equation \(m=\frac{y_2-y_1}{x_2-x_1}\).  For this problem, let

\((x_1,y_1)=(-7,-7)\\(x_2,y_2)=(-3,6)\)

So,

\(m=\frac{(6)-(-7)}{(-3)-(-7)}\\m=\frac{6+7}{-3+7}\\m=\frac{13}{4}\)

Answer:

Y=120

Step-by-step explanation:

0.48y=48

y=48/0.4

y=480/4

y=120

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

i think probably x∉∅

Step-by-step explanation:

3x-7 = 3x+9

-7 = 9

so x∉∅

Answer:

0 = 16 or No Solution

Step-by-step explanation:

1) Add  7   to both sides of the equation

3x - 7 + 7 = 3x + 9 + 7

2) Simplify

A. Add the numbers

3x = 3x + 9 + 7

B. Add the numbers

3x = 3x + 16

3) Subtract 3x  from both sides of the equation

3x - 3x = 3x + 16 - 3x

4) Simplify

A. Combine like terms

0 = 3x + 16 - 3x

B. Combine like terms

0 = 16

Answer:

( √15 + 8)/7

Step-by-step explanation:

TanA = -√15

.we are to find tan(A-π/4).

In trigonometry

Tan(A-B) = TanA - TanB/1+ tanAtanB

Hence:

tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4

Substitute tan A value into the formula

tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4

tan(A-π/4) = -√15-1/1-√15

Rationalize

-√15-1/1-√15 × 1+√15/1+√15

= -√15-√225-1-√15/(1-√225)

= -2√15-15-1/1-15

= -2√15 -16/(-14)

= -2(√15+8)/-14

= √15 + 8/7

Hence the required value is ( √15 + 8)/7

Answer:

Probably D ( -√15-1/1-√15)

Step-by-step explanation:

it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else.  I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.

Answer:

184/25

Here are some extra characters.

Answer:

(a)  5/12

Step-by-step explanation:

to solve this problem you can make all fractions equivalent with 12 as the denominator

a) 5/12

b) 2/3 = 8/12      Multiply top and bottom by 4

c) 5/6 = 10/12     Multiply top and bottom by 2

d) 3/4 = 9/12       Multiply top and bottom by 3

if you compare numerators, the smallest one is the closest to zero, which would be (a) 5/12

Answer:

A 5/12

Step-by-step explanation:

first you need to round these all to /12 so a is 5/12

12/3 is 4 so multiply 4 by two which means b is 8/12

12/6 is 2 so multiply 5 by two which gives us c = 10/12

12/4 is 3 and multiply 3 x 3 which is 9 so d is 9/12

5 is the lowest decimal/fraction which makes it the closest to 0

x in terms of m, M, g, and h is x = y^2 / (mgh). M is an additional variable introduced, which was not mentioned in the initial problem statement.

To solve the given equations for x in terms of m, g, and h, we will solve each equation step-by-step:

Equation 1: 6x = 9y + 5y^2 = mgh

Step 1: Rearrange the equation to isolate x:

6x = mgh - 9y - 5y^2

Step 2: Divide both sides by 6:

x = (mgh - 9y - 5y^2) / 6

Therefore, x in terms of m, g, and h is:

x = (mgh - 9y - 5y^2) / 6

Equation 2: mx = (m + M)y^2 / (m + M)gh

Step 1: Simplify the equation by canceling out (m + M) on both sides:

mx = y^2 / gh

Step 2: Divide both sides by m:

x = y^2 / (mgh)

Therefore, x in terms of m, M, g, and h is:

x = y^2 / (mgh)

Please note that in Equation 2, M is an additional variable introduced, which was not mentioned in the initial problem statement. If you have any specific values for M or any further information, please provide it, and I can adjust the solution accordingly.

Learn more about variable here

https://brainly.com/question/28248724

#SPJ11

Line ET is tangent to circle A at T, and the measure of arc TG is 46 and the measure of O is 67°.

Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent crosses it, is perpendicular to the tangent. Any curved form can be considered a tangent. Tangent has an equation since it is a line. A line that touches a circle just once is said to be tangent to it. A point tangent to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency.

Now, \(\angle {TEG} =\)180-90-23=67°

as line TE is tangent to circle and it is perpendicular to line NT.

Learn more about tangent to circle

brainly.com/question/23265136

#SPJ4

Given f(x) = 4x³ + 8x² - 3x + 27, find f(-3)...?

• putting the value of x in the polynomial (f) ...

→ f(-3) = 4(-3)³ + 8(-3)² – 3(-3) + 27

= 4 x (-27) + 8 x 9 + 9 + 27

= -108 + 72 + 9 + 27

= 0

Hence, we get the answer zero by putting the value of "x" in polynomial "f" that means [ f=(-3) ] is the zero of the polynomial...

#carryonlearning by getting the help from brainly members ｡◕‿◕｡

Answer:

Eric drove 28 7/11 miles with 1 gallon of gas.

Step-by-step explanation:

You just use long division and do 315 divided by 11, and you should get 28R7 so you just turn that R7 into 7/11.

Have a nice rest of your day :)

Answer: 15,048

Step-by-step explanation:

The probability that a randomly chosen member of the society has a grade point average between 3 and 3.2 is 0.2 or 20%.

The probability distribution function (pdf), f(x), for the grade point averages of the gourmet society can be represented by a uniform distribution between 2.5 and 3.5. In a uniform distribution, the probability density is constant within the range and zero outside the range. The formula for the pdf is:

f(x) = 1 / (b - a)

where a is the lower bound (2.5 in this case) and b is the upper bound (3.5 in this case). Therefore, for this scenario:

f(x) = 1 / (3.5 - 2.5) = 1

To find the probability that a randomly chosen member of the society has a grade point average between 3 and 3.2, we need to calculate the area under the probability distribution curve within that range. Since the probability density is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.

The width of the range is 3.2 - 3 = 0.2, and the total width of the distribution is 3.5 - 2.5 = 1. Therefore, the probability is:

Probability = (width of range) / (total width)

= 0.2 / 1

= 0.2

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

The solution to the given nonhomogeneous system is as follows:

Let x1=a and x2=b. Then, the given system is equivalent to:

\(a2-a1-3b=32a-5b=5\)

We can solve this system by adding the equations:

Solving for b, we obtain b=34. Now, substituting this back into the equation for a, we obtain a=12.

Therefore, the solution to the nonhomogeneous system is x=12,34.

for such more questions on nonhomogeneous system

https://brainly.com/question/30027722

#SPJ11

Answer:

The constraints are:

Plot the graphs of the constraints

From the graph (see attachment), the only optimal point is (3,4)

Substitute 3 for x and 4 for y in the objective function.

So, we have:

Hence, the maximum value of C is 17

Step-by-step explanation: Hope this helps!!!

Let:

A = Annual income

M = Monthly income

N = Number of months in the year

So, the annual income will be given by the monthly income multiplied by the number of months:

Solve for M:

Divide both sides by 12:

Answer:

$2875

Answer:

BC=15.01

Step-by-step explanation:

tan(65) = x/7

x = 7 x tan(65)

x = 15.01

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

Learn more about function from

https://brainly.com/question/11624077

#SPJ11

Answer:

-3t-45

Step-by-step explanation:

(18+t)(-3)+9

18x-3-3t+9

-54-3t+9

-3t-54+9

-3t-45

Answer:

-y + 5

Step-by-step explanation:

9y - 2(5y - 2) + 1 = 9y - 10y + 4 + 1

                          = -y + 5

Answer:

-y+5

Step-by-step explanation:

9y-2(5y-2)+1

=9y-10y+4+1

=-y+5

If f'(x) = g'(x), then f(x) = g(x). The statement is false. If f(x) = 2x + 5 and g(x) = 2x + 7, then f'(x) = 2 and g'(x) = 2. Thus, f'(x) = g'(x), but f(x) *g(x), option B.

The statement "If f'(x) = g'(x), then f(x) = g(x)" is not necessarily true. While two functions having the same derivative does imply that their derivatives are equal, it does not guarantee that the original functions are equal.

The example given in option B demonstrates this. If f(x) = 2x + 5 and g(x) = 2x + 7, then f'(x) = 2 and g'(x) = 2. The derivatives are equal, but the original functions are not equal.

Therefore,the correct answer is option B and the statement is false.



To learn more about derivatives: https://brainly.com/question/23819325

#SPJ11

The higher the standard deviation of an arrival process with an average interarrival time of 6 minutes, the more variability or dispersion there is in the arrival times.

Standard deviation measures the dispersion or spread of data points around the mean. In the context of an arrival process, it represents the degree of variability in the time intervals between arrivals. A higher standard deviation indicates that the arrival times are more scattered or deviate more from the average interarrival time of 6 minutes.

When the standard deviation is high, it suggests that the arrival process is less predictable or more random. The actual interarrival times may vary significantly from the expected average of 6 minutes. This can lead to less efficient scheduling or planning as the arrival times become less predictable.

In contrast, when the standard deviation is low, the arrival times tend to be more consistent and closely clustered around the average interarrival time. This indicates a more predictable and reliable arrival process.

for such more question on standard deviation

https://brainly.com/question/475676

#SPJ8

Answer:

540°

Step-by-step explanation

From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees.

The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

Learn more about the sum squared error here:

https://brainly.com/question/28046641

#SPJ1

what are the prices?