14 1/5 ≥ − 4 4/5 + 9x
I NEED A STEP BY STEP ON HOW TO DO IT AND THE ANSWER PLSSS

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

Answer:

7a - 4ab + 3b

Step-by-step explanation:

5a - 3ab + 6b - (ab - 2a + 3b)

=5a - 3ab + 6b - ab + 2a - 3b

=7a - 4ab + 3b

Step-by-step explanation:

compare the equation with : Y=mX+C

then, for slope of perpendicular equation

m1×m2= -1

As the coordinates lies in origin it is (0,0)

then use the formula of equation of line

Answer:

Step-by-step explanation:

urmom

Answer:

.24

Step-by-step explanation:

The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.

We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:

a) Interval = [-2, 0]

b) Interval = [1, 10]

c) Interval = [-2, 10]

Let's begin:

(a) Interval = [-2, 0]

To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.

To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 0].

Checking for x = 4 + √37:f(-2) = -10f(0) = 8

Checking for x = 4 - √37:f(-2) = -10f(0) = 8

Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]

We will follow the same method as above to find the absolute max/min.

We differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)

x = (24 ± √(888)) / 6

x = (24 ± 6√37) / 6

x = 4 ± √37

We need to check which critical point lies in the interval [1, 10].

Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39

Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39

Therefore, the absolute max is -30.36 and the absolute min is -362.39.

(c) Interval = [-2, 10]

We will follow the same method as above to find the absolute max/min. We differentiate the function:

f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:

f'(x) = 0

Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 10].

Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39

Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39

Therefore, the absolute max is -10 and the absolute min is -362.39.

Learn more about function at

https://brainly.com/question/31956232

#SPJ11

Answer:0

Step-by-step explanation: You decreased by 4 means subtracting 4 from it.

Hope this helps!

Answer: f(2)=-10     f(-3)=15

Step-by-step explanation:

Let the number conceived be x.

Hence,

f(x)=(x+5)(-3)-2x+15

f(x)=-3x-15-2x+15

f(x)=-5x

Thus,

f(2)=(-5)(2)

f(2)=-10

f(-3)=(-5)*(-3)

f(-3)=15

Answer: Therefore, you would need to buy 24 bottles of Dr Pepper to completely fill the 6 glasses for your New Year's Eve party.

Step-by-step explanation:

Step 1: Calculate the volume of one glass.

We can use the formula for the volume of a cone, V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone. The radius of the cone is half of its diameter, or 2cm. Thus, the volume of one glass is V = (1/3)π(2cm)^2(3cm) = 12.56cm^3.

Step 2: Calculate the number of bottles needed.

Now we can calculate the number of bottles needed to fill 6 glasses. We need 6 glasses, each with a volume of 12.56cm^3. Therefore, we need 6 × 12.56cm^3 = 75.36cm^3 of Dr Pepper in total. Since each bottle contains 3.2cm^3 of Dr Pepper, we need to divide 75.36cm^3 by 3.2cm^3 to calculate the number of bottles required. This gives us (75.36cm^3)/(3.2cm^3) = 23.6 bottles of Dr Pepper.

Therefore, you would need to buy 24 bottles of Dr Pepper to completely fill the 6 glasses for your New Year's Eve party.

The length of the shorter diagonal of the kite is 10 feet.

Let's assume the length of the shorter diagonal of the kite is x.

According to the given information, the area of the kite is 350 square feet, and one diagonal is seven times as long as the other.

The formula to calculate the area of a kite is: Area = (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.

In this case, we can set up the following equation:

350 = (1/2) * x * (7x)

Simplifying the equation:

350 = (1/2) * 7x^2

700 = 7x^2

100 = x^2

x = √100

x = 10

The kite's shorter diagonal is 10 feet long as a result.

for such more question on length

https://brainly.com/question/20339811

#SPJ8

Answer:

taco bell

Step-by-step explanation:

per one taco at taco bell $0.53

per one taco at los comales $0.62

The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)

Here, we need to construct a 99% confidence interval for population mean (μ) is given by

μ = x + Zα/2 * σ/√n   or    μ = x - Zα/2 * σ/√n

where, μ = population mean

x = sample mean

  = 3 inches

σ = population standard deviation

  = 0.3 inches

Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)

So, the upper limit would be,

μ = 3 + 1.645 * (0.3/√36)

μ = 3 + 1.646 * (0.3/6)

μ = 3.0823

And the lower limit would be,

μ = 3 - 1.645 * (0.3/√36)

μ = 3 - 1.646 * (0.3/6)

μ = 2.9177

Hence, the 99% confidence interval is (2.9177, 3.0823)

Learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ4

Answer:

c = \(\frac{1}{10}\)

f= 1500

Step-by-step explanation:

Tenemos la siguiente ecuación

\( C = f+cm\)

Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones

\( 3000=f+c15000, 3500=f+c20000\)

Si restamos la segunda ecuación de la primera, tenemos que

\( 3500-3000 = f-f+(20000c-15000c)\)

Luego

\( 500 = 5000c\)

Entonces \( c = \frac{500}{5000} = \frac{1}{10}\)

Si tomamos la primera ecuación, tenemos que \(3000-\frac{15000}{10} = f\). Es decir,

\( 3000-1500 = f = 1500\)

Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.

Answer: Graph B.

Step-by-step explanation: If he is traveling on the highway we know he starts out fast.  This means it can't be graph c.  After he pulls over and stops which would mean he has no speed at all he accelerates or speeds up quickly.  The only graph that represents this is Graph B.

Starts fast

Slows Down and stops

Speeds Up                                      Only represented by graph B

Answer:

288

Step-by-step explanation:

Answer:

Let the sum of money be Rs p

So Amount = p +[( p x 12 x 3)/100]

{from the relation,a=p+[(pxRxt)]

But Amount is given as $162 in the question

= 162 = y +(36y)/100

162 = 34y/25

y=$119.117

So, the answer is $119.117

The area of the shaded sector is 27 π  units squared.

In geometry, a sector in a circle is a region bounded by two radii and an arc of the circle. The two radii define the boundaries of the sector, and the arc connects these two radii, forming a portion of the circle's circumference. The center of the circle is located at the intersection of the two radii that bound the sector.

The formula for the area of a sector in a circle is given by:

Area of a sector = (central angle/360⁰) x area of the circle

The area of a circle is given by:

Area = πr²

Where r = radius.

Hence,

Area of a sector = (central angle/360⁰) x πr²

Information available from the pciture:

central angle = 120⁰

r = 9 units

Hence,

Area of the sector = ( 120⁰/360⁰) x π x 9²

                              = ( 1/3) x π x 81 = 27 π  units squared

The picture in your question is missing, most likely it was like on the attached picture.

Learn more about sector here:

https://brainly.com/question/30608063

#SPJ4

Answer: the answer is B 27π units²

Step-by-step explanation: it is show below.

Answer:

i think its 25!!! not completely sure tho

Yes, the given data provide convincing evidence that the Nuthatches prefer particular types of trees while searching for seeds and insects.

A statistical hypothesis test used to examine if a variable is likely to come from a given distribution is the Chi-square goodness of fit test. It is frequently used to assess how well sampling data represents the entire population.

Given that the number of red-breasted nuthatches (n) is 156. By convention, the significance level is α=0.05.

First, let's state the null hypothesis and alternate hypothesis.

Null hypothesis H₀: Nuthatches don't prefer particular types of trees while searching for seeds and insects.

Alternate hypothesis H₁: Nuthatches prefer particular types of trees while searching for seeds and insects.

Given: p₁=54%=0.54, p₂=40%=0.40, p₃=6%=0.06

The expected frequency (E) for each probability is:

\(\begin{aligned}E_1&=np_{1}\\&=156\times0.54\\&=84.24\\E_2&=np_{2}\\&=156\times0.40\\&=62.4\\E_3&=np_{3}\\&=156\times0.06\\&=9.36\end{aligned}\)

The observed values (O) are given as 70, 79, and 7. Calculating chi-square, we get,

\(\begin{aligned}\chi^{2}&=\sum\frac{(O-E)^2}{E}\\&=\frac{(70-84.24)^2}{84.24}+\frac{(79-62.4)^2}{62.4}+\frac{(7-9.36)^2}{9.36}\\&=7.4182\end{aligned}\)

And the degree of freedom is given by df = n-1, where, n is the sample size. Here, the sample size is 3.

\(\begin{aligned}df&=n-1\\&=3-1\\&=2\end{aligned}\)

Then, the P-value from the table is given by, \(P(\chi^{2} > 7.4182) = 0.0245\).

This value is less than the significance level.  Therefore, the null hypothesis is rejected. So, an alternate hypothesis is accepted.

Therefore,  nuthatches prefer particular types of trees while searching for seeds and insects.

To know more about the chi-square test:

https://brainly.com/question/14082240

#SPJ4

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

x=4

Step-by-step explanation:

32-4=28

28÷7= 4

x=4

Answer:

Step-by-step explanation:

x=4

Answer:

I don't see a graph

Step-by-step explanation:

The length PL is 17 centimeters

From the complete question, we have:

LM = 8 cm

PQ = 30 cm

The length PL is then calculated using the following Pythagoras theorem

PL^2 = LM^2 + (PQ/2)^2

The equation becomes

PL^2 = 8^2 + (30/2)^2

Evaluate the sum

PL^2 = 289

Take the square root of both sides

PL = 17

Hence, the length PL is 17 centimeters

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

Among all unbiased estimators which are weighted averages of Y₁, ..., Yₙ, the sample mean as an estimator of population mean is an estimator with lower sampling variances.

The sample mean is known to be an unbiased estimator of the population mean.

Which means that on average, it provides an estimate that is equal to the true population mean.

However, when considering estimators that are weighted averages of the observations.

The sample mean tends to have lower sampling variances compared to other unbiased estimators.

Lower sampling variance is desirable because it indicates less variability in the estimates obtained from different samples.

A lower sampling variance implies that the sample mean is likely to be closer to the population mean, providing a more precise estimate.

Therefore, among unbiased estimators that are weighted averages, sample mean stands out as having a lower sampling variance.

Learn more about estimators here

brainly.com/question/15840694

#SPJ4

Answer:

17.72\(\frac{miles}{hr}\)

Step-by-step explanation:

If you are trying to take 26 ft/s to being miles per hour this is how you do it.

26 \(\frac{ft}{s}\) * \(\frac{mile}{5280ft}\) *\(\frac{3600s}{hr}\)

so

17.72\(\frac{miles}{hr}\)

The probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10 is 1/3.

When rolling a pair of dice, there are 36 possible outcomes.

Each die has six possible outcomes, which means that the pair of dice has 6 × 6 = 36 outcomes.

If we want to find the probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10, we can calculate it as follows:

Sum of 8:There are 5 ways to roll an 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

The probability of rolling an 8 is therefore 5/36.

Sum of 9:There are 4 ways to roll a 9: (3, 6), (4, 5), (5, 4), and (6, 3).

The probability of rolling a 9 is therefore 4/36.

Sum of 10:There are 3 ways to roll a 10: (4, 6), (5, 5), and (6, 4).

The probability of rolling a 10 is therefore 3/36.

To find the total probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10, we simply add the probabilities of each event:5/36 + 4/36 + 3/36 = 12/36 = 1/3

Therefore, the probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10 is 1/3. The required answer is 1/3

Learn more about probability here https://brainly.com/question/30034780

#SPJ11

Answer:

Angle of elevation of the sun: 69 degrees

Step-by-step explanation:

tan(x) = 200/75

x = tan^-1 (200/75)

x = 69 degrees