Which fraction shows the reciprocal of the whole number 15? Group of answer choices 15/1 10/15 5/15

Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer:

B, 5x = 35.75

Step-by-step explanation:

Divide the total cost by 5 pies to find the cost of one pie.

Answer:

its b

Step-by-step explanation:

have a great day lovely! xx

Answer: He pays $1.05 in tax

Step-by-step explanation: You multiply 7% by 15.00 (15.00 x 7%) and then you get your tax. If it asks how much the cost is plus tax, you just add the number you got by multiplying 15 by 7 and to the original price, $15.00.

The system of equation to represent Zendaya blueberries and grapes sells is as follow:

x + y = 33

2.50x + 1.25y = 55

Zendaya runs a farm stand that sells blueberries and grapes.  Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes.

The system of equation that can be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold can be represented as follows:

Therefore,

let

x = number of pounds of blueberries

y = number of pounds of grapes

Hence,

x + y = 33

2.50x + 1.25y = 55

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Answer:

Step-by-step explanation:

The answer is 360.

Explanation: each pillow is $3 and you have $960.

You need to figure out how many times $3 can go into $960 and you do that by dividing.

960 divided by 3 is 360.

The hotel can buy 360 pillows.

Answer:

Step-by-step explanation:

(35 units three times a day) comes out to (35 units / day)(3 times per day), or

105 units per day

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

Answer:

y = 2x - 3

Step-by-step explanation:

Take any tow point from the line

(x₁ , y₁) = (1 , -1)    & (x₂  , y₂) = (0 , -3)

\(Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\)

         \(= \frac{-3-[-1]}{0-1}\\\\=\frac{-3+1}{-1}\\\\=\frac{-2}{-1}\\\\=2\)

m = 2  &  (1, -1)

y - y₁  = m(x -x₁)

y - [-1] = 2(x - 1)

y + 1   = 2x - 2

       y = 2x - 2 - 1

y = 2x - 3

Answer:

Step-by-step explanation:

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

ask ya fadaaaaaaaaàaaa

Step-by-step explanation:

guvdhcjnhcxh

Answer:

Aiden can buy 2 gel pens after buying the calculator.

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

The number of social media post of Noami has a greater spread when compared to that of Amir.

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

The inter quartile range is the difference between the third quartile and the first quartile of a data set.

IQR = Q3 - Q1

The IQR of Amir's social media posts: 7

The IQR of  Naomi's social media posts = 10

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Answer:

Naomi"s data set has more spread since her range is 10 and her IQR is 3.

Step-by-step explanation:

Range                   IQR

12,14,15,15,16,19    16-14=2

0,2,2,4,5,10           5-2=3

19-12=7  10-0=10

Answer:

Please show us the picture i really want to answer.

Given,

The number of section in the spinner is 4.

Required

The probability of landing on a 6 and then landing on a prime number.

The probability of spinner lands on 6 is,

The probability of spinner lands on prime is,

The probability of landing on a 6 and then landing on a prime number.

Answer:

17k - 25

Step-by-step explanation:

- 5(1 - 5k) - 4(2k + 5) ← distribute parenthesis

= - 5 + 25k - 8k - 20 ← collect like terms

= 17k - 25

Step-by-step explanation:

distribute -5 and -4

-5×1, -5×-5k and -4×2k, -4×5

so,

negative times negative is positive and positive times negative is negative

-5+25k-8k-20

add common variables

-5-20+25k-8k

-25+17k

Answer:

ans

Step-by-step explanation:

possible ratios are 3:4,9:12 and 18:24

Mark me as a brain list please

Answer:

Step-by-step explanation:

12:9

8:6

4:3

16:12

24:18

48:36

Answer:

Your question lacks some parts attached below is the complete question

Answer : 2.66

Step-by-step explanation:

The expected number ( E ) can be calculated using the formula below

\(E = \frac{row total * column total }{gross total}\)

since we are computing the number of subjects that would prefer Linux operating system and are also rated as exceptional

The row total to be used = 53 ( row total of exceptional )

The column total to be used  = 13 ( column total of Linux )

The gross total to be used = summation of row total of both exceptional and no-exceptional = 259

BACK TO THE EQUATION

E = \(\frac{53*13}{259}\)  = 689 / 259

E = 2.6602 ≈ 2.66

The outliers, Clusters and Gaps of the scatterplot are;

Outliers = (40, 6)

Cluster = From 10 to 20 years

Gaps = None

1) Cluster: This is defined as a group of values that sticks together away from other groups.

2) Outliers: This is defined as some minority values much away from the crowd (Majority).

3) Peaks: These are highest values in the distribution.

4) Gaps: These are the ‘’large’’ open space between some data points.

From the given scatterplot, we can say that;

Outliers = (40, 6)

Cluster = From 10 to 20 years

Gaps = None

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288/32=144/16=72/8=9

Hope it helps you

Answer:

9

Step-by-step explanation:

288/320 = 9/1

9/1 = 9

If PV = 800, then P can be written as a function of V,

P(V) = 800 / V

(a) The average rate of change of P as V increases from 200 to 250 in³ is then

(P (250) - P (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)

... = -0.016 (lb/in²)/in³

(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)

(b) We can also write V as a function of P :

V(P) = 800 / P

Take the derivative:

V'(P) = - 800 / P²

which immediately demonstrates that V'(P) ∝ 1 / P², as required. (The fish-looking symbol, ∝, means "is proportional to".)

If differentiating is supposed to be more involved, you can use the limit definition:

\(V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h\)

\(V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h\)

\(V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h\)

\(V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h\)

\(V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}\)

Part(a): The average rate of change of \(\frac{dP}{dV}\) is \(-0.0164 lb/in^{2}\)

Part(b): The required answer is \(\frac{dV}{dP} \infty \frac{1}{P^{2}}\)

Part(a):

Given,

\(PV=800\)

Differentiating the above equation with respect to \(V\).

\(\frac{dP}{dV}=-\frac{P}{V}\)

Now, at \(V=200 in^{3}\) and \(P=4 lb/in^2\)

At \(V=250 in^3\) and \(P=\frac{80}{25} lb/in^2\)

Hence, we can write,

\(\frac{dP}{dV}\) at \(V=200\) we get,

\(\frac{-1}{200}=\frac{-1}{50}\)

Again \(\frac{dP}{dV}\) at \(V=250\) we get,

\(\frac{-80}{25\times 250}\)

So, the average rate of change of \(\frac{dP}{dV}\) is,

\(\frac{-\frac{1}{50}- \frac{8}{25\times25} }2\\=-\frac{1}{100}-\frac{1}{625}\\=-0.0164 lb/in^2\)

Part(b):

Given,\(PV=800\) then,

\(V=\frac{800}{P}\)

Now,\(\frac{dV}{dP} =-\frac{800}{P^2}\)

Then the above implies,

\(\frac{dV}{dP} \infty \frac{1}{P^{2}}\)

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Answer:

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

\(P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}\)

\(P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }\)

\(P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18\)

Now, the required probability is computed as:

\(P(9<X<14) = P(10 \le X \le13)\)

\(P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)\)

\(P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}\)P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Answer:  √20

Step-by-step explanation:

The square root of 20 is 4.47213595 which is a decimal and not a whole number.

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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