Let W = {a + 2x + bx2 € Pz: a, b E R} with the standard operations in P2. Which of the following statements is true? W is not a subspace of P2 because 0 € W. W is a subspace of P2. a The above is true The above is true None of the mentioned O 1+xEW

Price elasticity of demand is 1.73.

To calculate the price elasticity of demand, you can use the following formula:

Elasticity = (percentage change in quantity demanded) / (percentage change in price)

In this case, the price of the taco decreased by $0.36, or 15.3% (calculated as (2.35 - 1.99) / 2.35). The quantity of tacos sold increased by 325, or 26.4% (calculated as (1550 - 1225) / 1225).

Plugging these values into the formula, we get:

Elasticity = 26.4% / 15.3% = 1.73

This means that the demand for tacos is elastic, or sensitive to changes in price. An elasticity value greater than 1 indicates that the demand is elastic, while an elasticity value less than 1 indicates that the demand is inelastic. In this case, a 15.3% decrease in price resulted in a 26.4% increase in the quantity of tacos sold, indicating that the demand for tacos is elastic.

Thus, Price elasticity of demand is 1.73.

To learn more about Price elasticity of demand,

visit; brainly.com/question/20630691

#SPJ4

Answer:

volume of a cylinder = 536.9 cm³

Step-by-step explanation:

volume of a cylinder, V = πr²h

where π = 3.14

h = 19 cm

r = ?

given is diameter = 6 cm

as we know, r = d/2 = 6/2 = 3 cm

by substituting the values in the formula,

V = 3.14 * 3² * 19

= 536.94 cm³

by rounding off to the nearest tenth place,

volume of a cylinder = 536.9 cm³

Answer:

v = 537.2 cm3

Step-by-step explanation:

volume:

\(v=\pi r^{2} h\)

\(r=d/2=6/2=3cm\)

\(h=19cm\)

\(v=\pi (3)^{2} (19)=171\pi\)

\(v=537.21\)

Rounded nearest tenth:

\(v=537.2cm^{3}\)

Hope this helps

Mikaela's average speed for the entire race is (5 + 20) / (0.5 + 0.8) = 15 kilometers per hour.

Mikaela can bike 25 kilometers in 1 hour. This is because she biked 20 kilometers in 0.8 hours, which can be converted to 25 kilometers in 1 hour (20 kilometers / 0.8 hours = 25 kilometers / 1 hour).

The average rate of change of the function f(x) over the interval [-2, -9] is -6.

To determine the average rate of change of the function f(x) over the interval [-2, -9], we need to find the slope of the secant line that connects the points (-2, f(-2)) and (-9, f(-9)).

We first find the values of f(-2) and f(-9):

f(-2) = (-2)² + 5(-2) + 14 = 4 - 10 + 14 = 8

f(-9) = (-9)² + 5(-9) + 14 = 81 - 45 + 14 = 50

So, the two points are (-2, 8) and (-9, 50).

The slope of the secant line between these two points is:

slope = (f(-9) - f(-2)) / (-9 - (-2)) = (50 - 8) / (-9 + 2) = 42 / -7 = -6

Learn more about average rate of change here: https://brainly.com/question/11627203

#SPJ1

The sentence "the Tigers scored twice as many points as the Sharks" means that the Tigers points is 2 times the Sharks points, then we can write

Therefore, the answer is option 1

Answer:x = 7

Step-by-step explanation:

Simply because:

5(1 + x) = 40

(1 * 5 + x * 5) = 40

(5 + 5x) = 40 5 + 5x = 40

5 + -5 + 5x = 40 + -5

0 + 5x = 40 + -5

5x = 40 + -5

5x = 35

x = 7

Answer:

0.77

Step-by-step explanation:

10/13 as a decimal is 0.769230

0.769230 to the nearest 100 is 0.77

Hope this helps :D

Answer:

4

Step-by-step explanation:

Split 19 into two numbers, 9 and 10. If there are 10 nickels, there are 5 dimes. That means there rest are quarters and there are 4.

edit : im not american and have little knowledge of how much each are worth

Answer:

\(b=\sqrt[3]{16}\)

Step-by-step explanation:

Determine interception point of curves

\(36x^2=4\)

\(x^2=\frac{4}{36}\)

\(x^2=\frac{1}{9}\)

\(x=\pm\frac{1}{3}\)

Find the area of the bounded region

\(\int\limits^\frac{1}{3} _{-\frac{1}{3}} {4-36x^2} \, dx\\ \\=4x-12x^3\Bigr|_{-\frac{1}{3} }^{\frac{1}{3} }\\\\=[4(\frac{1}{3})-12(\frac{1}{3})^3]-[4(-\frac{1}{3})-12(-\frac{1}{3})^3]\\\\=\frac{8}{9}-(-\frac{8}{9})\\\\= \frac{8}{9}+\frac{8}{9} \\\\=\frac{16}{9}\)

Therefore, since half of the area is \(\frac{8}{9}\), we can set one-half of the region between 0 and x where \(x=\frac{\sqrt{b}}{6}\) and determine b:

\(\frac{8}{9}=\int\limits^\frac{\sqrt{b}}{6} _0 {b-36x^2} \, dx\\\\\frac{8}{9} =bx-12x^3\Bigr|_{0}^{\frac{\sqrt{b}}{6} }\\\\\frac{8}{9}=b(\frac{\sqrt{b}}{6})-12(\frac{\sqrt{b}}{6})^3\\\\\frac{8}{9}=\frac{b\sqrt{b}}{6}-12(\frac{b^{\frac{3}{2}}}{216})\\\\\frac{8}{9}=\frac{b\sqrt{b}}{6}-(\frac{b^{\frac{3}{2}}}{18})\\\\\frac{16}{18}=\frac{3b\sqrt{b}}{18}-\frac{b^{\frac{3}{2}}}{18}\\\\16=3b\sqrt{b}-b^{\frac{3}{2}}\\\\16=3b^{\frac{3}{2}}-b^{\frac{3}{2}}\\\\16=2b^{\frac{3}{2}}\)

To account for both halves of the region:

\(16=2(2b^{\frac{3}{2}})\\16=4b^{\frac{3}{2}}\\4=b^{\frac{3}{2}}\\b=\sqrt[3]{16}\)

Therefore, the line \(b=\sqrt[3]{16}\) will divide the area between the curves into two regions with equal area

Answer: 94 even though  already said it but yet you deleted my answer witch was rooooooood

Step-by-step explanation:

The null hypothesis is that the population mean of female "like" ratings of male dates is equal to 6.00, and the alternative hypothesis is that it is less than 6.00. A one-tailed t-test will be used to test the hypothesis.

H0: μ = 6.00

Ha: μ < 6.00

The test statistic is calculated using the formula:

t = (x - μ) / (s / sqrt(n))

Substituting the given values, we get:

t = (5.88 - 6.00) / (2.06 / sqrt(195)) = -1.64

The degrees of freedom are n-1 = 194. Using a t-distribution table, the P-value is found to be 0.051.

Since the P-value (0.051) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to suggest that the population mean of female "like" ratings of male dates is less than 6.00 at a significance level of 0.05.

Learn more about alternative hypotheses

https://brainly.com/question/13045159

#SPJ4

Answer:

x^2 + 2x - 6.

Step-by-step explanation:

(f + g)x

= f(x) + g(x)

= 2x + 1 + x^2 - 7

= x^2 + 2x - 6.

Answer:

29.5

Step-by-step explanation:

I took the test and this is what he correct answer is!!

Hope it helps!!

If the length of each side of a cube is multiplied by a 3, the change in surface area of the cube is 48 times the original surface area.

The surface area of a cube is given by the formula 6s², where s is the length of a side of the cube. If the length of each side is multiplied by a factor of 3, then the new length of each side is 3s.

The new surface area of the cube is 6(3s)² = 54s².

To find the change in surface area, we need to subtract the original surface area (6s²) from the new surface area (54s²):

54s² - 6s² = 48s².

In other words, the surface area is increased by a factor of 48 when each side of the cube is multiplied by 3.

To learn more about surface area click on,

https://brainly.com/question/16005019

#SPJ4

60 ml of the 55% solution is required to get the desired solution.

A unique kind of homogenous mixture made up of two or more substances is called a solution.

Let  x ml of 55% solution is taken.

therefore alcohol = 0.55x ml

water = 0.45x ml

Now it is added to 10% 75 ml solution.

Alcohol = 10% of 75 = 7.5ml

Water = 67.5 ml

New mixture = 75 + x

Alcohol = 30% of (75+x) = 22.5 + 0.3x

Therefore 22.5 + 0.3x = 7.5 + 0.55x

or, x = 60 ml

Therefore 60 ml of the 55% solution is required.

To learn more about solution visit:

https://brainly.com/question/13803006

#SPJ1

Answer:

a

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 20 = 40π

Step-by-step explanation:

\( = 4x - 8y + 6 {x}^{2} + 3x - 5y\)

\( = 6 {x}^{2} + (4x + 3x) + ( - 8y - 5y)\)

\( = 6 {x}^{2} + 7x - 13y\)

The answer is B.

Answer:

b.) 6x² + 7x - 13y

Explanation:

Given Expression

= 4x - 8y + 6x² + 3x - 5y

collect like terms

= 6x² + 4x + 3x -8y - 5y

combine similar terms

= 6x² + 7x - 13y

Answer:

8.50 gallons of gas.

Step-by-step explanation:

The slope in this scenario is -1.25 gallons per mile, this means that for every mile that Evin drives she is wasting 1.25 gallons of gasoline. Since she only drove 1 hour at the begining and after that hour her tank had 7.25 gallons, then we can simply add 1.25 gallons to her tank at this moment to make up for the 1 hour she drove and that would give us the total amount of gas she had before she started driving.

7.25 + 1.25 = 8.50 gallons of gas.

Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of gallons left after x hours.

She notices that after 1 hour her gas tank has 7.25 gallons left. Hence:

7.25 = m(1) + b

m + b = 7.25   (1)

After 4 hours of driving, it has 3.5 gallons of gas left in it. Hence:

3.5 = 4(m) + b

4m + b = 3.5   (2)

Solving equations 1 and 2 simultaneously gives m = -1.25, b = 8.5

Hence Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.

Find out more at: https://brainly.com/question/13911928

Answer:

528 cookies

Step-by-step explanation:

3 hours is 180 minutes

55 minutes - the 15 for preheating is 40 minutes

180 minutes + 40 minutes = 220 (total time she could've had cookies in the oven)

220 divided by 20 is 11 (total batches of cookies)

11 times 48 is 528

Sorry if my answer is confusing lol

The total number of cookies that Amy baked is 528 cookies.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

To solve this problem, we need to convert the total time the oven was on (3 hours and 55 minutes) into minutes.

Since there are 60 minutes in an hour, the total time the oven was on in minutes is : 3 hours x 60 minutes/hour + 55 minutes = 235 minutes.

We need to subtract the time the oven was preheating (15 minutes) from the total time the oven was on to get the time that was spent baking cookies. This gives us a total of 235 minutes - 15 minutes = 220 minutes of baking time.

Since each batch of cookies takes 20 minutes to bake, the number of batches of cookies that Amy baked is :

220 minutes / 20 minutes/batch = 11 batches.

Since each batch contains 48 cookies,

So, the total number of cookies that Amy baked is :

11 batches × 48 cookies/batch = 528 cookies.

Thus, Amy baked 528 cookies overall altogether.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ12

Answer:

40$

Step-by-step explanation:

divide 12 by 3 to get 4 as 10% of the total, multiply by 10 tog et 40 as the total.

Answer:- 3,2

Step-by-step explanation:

its hard to explain without a whiteboard feature

Answer:

\(8( \frac{x}{4} - 6) > 4\)

\( \frac{8x}{4} - 48 > 4\)

\(2x - 48 > 4\)

\(2x > 4 + 48\)

\(2x > 52\)

\(x > \frac{52}{2} \)

\(x > 26\)

The probability that Luke will hit the inner ring fewer than 3 times is  0.069.

To calculate the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X, we need to know the distribution of X.

Assuming that each shot is independent and has the same probability p of hitting the inner ring, X follows a binomial distribution with parameters n=5 and p.

The mean of a binomial distribution is given by μ = np, so in this case, the mean of X is 5p.

To find the probability that X is less than 5p, we can use the cumulative distribution function (CDF) of the binomial distribution. Let F(k) denote the CDF of the binomial distribution with parameters n=5 and p, evaluated at k.

Then the probability that X is less than 5p is:

P(X < 5p) = F(4p)

Note that we use 4p instead of 5p in the argument of F, since we want the probability that X is strictly less than 5p, not less than or equal to 5p.

Using a binomial table or calculator, we can look up or compute the value of F(4p) for a given value of p.

For example, if p=0.6 (which corresponds to Luke hitting the inner ring 60% of the time), we get:

P(X < 5p) = F(2.4) ≈ 0.069

So the probability that Luke will hit the inner ring fewer than 3 times (which is less than 5p=3) out of the 5 attempts is about 0.069, assuming he hits the inner ring with a probability of 0.6 on each shot.

Learn more about probability and statistics

brainly.com/question/27342429

#SPJ11

Answer:

At least 7  <  She had 15

Answer:

there is no attached file

Step-by-step explanation:

Answer:

16 + x > 31, so x > 15

16 + 31 > x, so x < 47

Combining these inequalities, we have

15 < x < 47.

Since x is the shortest side of this triangle, and since the triangle is not isosceles,

15 < x < 16. So one possible value of x is 15.1.

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

To learn more about generalize visit:

https://brainly.com/question/10736907

#SPJ11

Answer:

I am going to say 3. but not 100% if it right let me know

Answer: what is the qustion

Step-by-step explanation:

Answer:

y = \(\frac{3}{2}\)x + 2

Slope: \(\frac{3}{2}\)

Y-Intercept: 2

Step-by-step explanation:

2y - 3x = 4

2y = 3x + 4

y = \(\frac{3}{2}\)x + 2

Slope: \(\frac{3}{2}\)

Y-Intercept: 2