Camila has up to $100 to spend on her birthday party at a city swimming pool.
There will be 15 friends total. She also plans to spend $38.50 on pizza.
How much can she spend per person to go to the pool?
Write an inequality to represent this situation.

Premise 1: Hard water can damage home appliances. Premise 2: A water softening system can prevent hard water. Conclusion: Therefore, a water softening system can prevent damage to home appliances.

The argument consists of two premises and a conclusion. Premise 1 states that hard water can cause damage to home appliances. Premise 2 states that a water softening system can prevent hard water. The conclusion drawn from these premises is that a water-softening system can prevent damage to home appliances.

In standard form, the argument is presented by listing the premises first, followed by the conclusion. This format helps to clearly identify the statements being made and their logical relationship. By representing the argument in this way, it becomes easier to analyze the structure and validity of the reasoning presented.

Therefore, the standard form representation of the argument is:

Premise 1: Hard water can damage home appliances.

Premise 2: A water softening system can prevent hard water.

Conclusion: Therefore, a water softening system can prevent damage to home appliances.

Learn more about Premise here:

https://brainly.com/question/30689991

#SPJ11

The circumference of circle of radius 70 cm is 440 \(cm^{2}\).

According to the question,

We have the following information:

Radius of the circle = 70 cm

(Diameter is twice that of its radius..)

We know that the following formula is used to find the circumference of circle:

Circumference of circle = 2πr

(More to know: the formula to find the area of circle is π\(r^{2}\).)

(More to know: there are two values of π. One is 3.14 and one is 22/7.)

Circumference of circle = 2*(22/7)*70

Circumference of circle = 440 \(cm^{2}\)

Hence, the circumference of the circle of radius 70 cm is 440 \(cm^{2}\).

To know more about circumference here

https://brainly.com/question/4268218

#SPJ9

From (0, 0), the points A and D in the graph are at (-1, -1) and (2, -1) respectively.

Since the scale factor is 2, every point will be moved twice a distance in both directions. (x and y).

So, multiplying both coordinates by 2, we will get the dilated points.

Hence, A' will be at (2 × (-1), 2 × (-1)) = (-2, -2) and D' will be at (2 × 2, 2 × (-1)) = (4, -2).

Learn more about graph on:

https://brainly.com/question/19040584

#SPJ1

Answer:

65

Step-by-step explanation:

Since we know that Amira uses 4 balloons per animal,

15 + 200/4 = 15+50 = 65

Answer:

65

Step-by-step explanation:

I just did it on Khan

Answer:

\(\frac{1}{\sqrt[3]{x^5} }\)

Step-by-step explanation:

it's negative exponent so in order to get it positive it goes to the denominator of the fraction for positive exponent number

then the x to the exponent the numerator is the power and the denominator is the sqrt number

\(\frac{1}{\sqrt[3]{x^5} }\)

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

for more such question on relatively visit

https://brainly.com/question/29502088

#SPJ8

"For an exponentially distributed population Exp(0), 0>0, the mle for is given by max{X₂}" The statement is false.

The density function for an exponential distribution is given by:

f(x) = λe^(-λx) , x ≥ 0 where λ > 0 is the parameter of the distribution.

It is incorrect to say that an exponentially distributed population Exp(0) has a parameter of zero because λ must be greater than zero. When λ = 0, the density function above reduces to:

f(x) = 0, x ≥ 0

which is not a valid probability density function since the total area under the curve must be equal to one.

To estimate the parameter λ for an exponential distribution, we use the method of maximum likelihood. The likelihood function for a sample of n observations {X₁, X₂, ..., Xₙ} from an exponential distribution is given by:

L(λ) = ∏(λe^(-λxi)) = λⁿe^(-λ∑xi), i=1 to n

where ∑xi is the sum of the n observations.The log-likelihood function is given by:l(λ) = ln(L(λ)) = nln(λ) - λ∑xi

The derivative of the log-likelihood function with respect to λ is:

d/dλ l(λ) = n/λ - ∑xi

The maximum likelihood estimate (MLE) of λ is the value that maximizes the likelihood function, or equivalently, the log-likelihood function. Setting the derivative above to zero and solving for λ gives:λ = n/∑xi

which is the MLE of λ for an exponential distribution. Thus, the statement is false.

Read more about population here: https://brainly.com/question/29885712

#SPJ11

Answer:

The answer is C i think

Step-by-step explanation:

=========================================================

Explanation:

The population was 313 million and it jumped up to 324 million. This is an increase of 324-313 = 11 million

Divide this over 5, since this is the span of time from 2012 to 2017 (ie 2017-2012 = 5)

We get (11 million)/5 = 2.2 million

We basically divide 11/5 to get 2.2, then stick "million" at the end.

The average rate of change is 2.2 million people per year. This means that every year, on average, the population is going up by 2.2 million people.

------------------

Effectively, we just computed the slope through the points (2012,313) and (2017,324)

Note how using the slope formula gets us to the same result

m = slope

m = rise/run

m = (change in population)/(change in time)

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (324-313)/(2017-2012)

m = 11/5

m = 2.2

The same idea applies if you tacked on "million" to each of the proper values mentioned.

Answer:

2,200,000 people

2.2 million

Step-by-step explanation:

You have 324 million in 2017 and 313 million in 2012

To find the average subtract the 2017 average from the 2012 average

324,000,000-313,000,000=11,000,000

That is not the average, that's the difference. To find the average, subtract the years to see how many years went by and divide 11,000,000 by that.

11,000,000/5=2,200,000

There is a 2,200,000 rate change per year

Another way would be:

324-313=11

2017-2012=5

11/5=2.2

2.2 million rate change

Hope that helps and don't be afraid to reach out with any further questions!

Answer:

m∠D = 109

Step-by-step explanation:

This is a parallelogram.

In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:

9x - 44 = 6x + 7

9x - 6x = 7 + 44

3x = 51

x = 17

Now we can calculate measure of m∠D:

m∠D = 9x - 44

9×17 + 44 = 109

The x-intercept of the function  is -3

One example of an intercept is the X-intercept, which is when a line crosses the x-axis.

Where a line crosses the y-axis is known as the y-intercept.

One play in numerous football formats is the interception.

Donald Hamilton's 1980 thriller The Mona Intercept

Nixon announced Operation Intercept as a drug-prevention initiative.

Telephone monitoring, often known as third-party eavesdropping on phone and online talks

Android smartphone Samsung Intercept (SPH-M910) Visual Intercept, a Microsoft Windows-based software defect monitoring tool

A measurement of the linearity of an electrical device is the intermodulation intercept point.

A telephone recording known as the intercept message informs the caller that the call cannot be finished.

The Intercept is an online news source run by Jeremy Scahill, Laura Poitras, and Glenn Greenwald.

To learn more about x-intercept from the given link:

https://brainly.com/question/3761242

#SPJ4

Answer:

To find the x-intercept of the function, we need to find the value of x where the function h(x) is equal to zero.

Setting h(x) = 0, we have:

0 = 3∛(x - 5) + 6

Subtracting 6 from both sides, we get:

-6 = 3∛(x - 5)

Dividing both sides by 3, we get:

-2 = ∛(x - 5)

Cubing both sides, we get:

-8 = x - 5

Adding 5 to both sides, we get:

x = -3

Therefore, the x-intercept of the function is -3.

The answer is: -3.

Answer:

\(h(-1)=-\dfrac{\boxed{2}}{\boxed{3}}\)

Step-by-step explanation:

Given function:

\(h(x)=\dfrac{2x-6}{4x^2+8}\)

To find h(-1), substitute x = -1 into the given function:

\(\begin{aligned}\implies h(-1)&=\dfrac{2(-1)-6}{4(-1)^2+8}\\\\&=\dfrac{-2-6}{4(1)+8}\\\\&=\dfrac{-2-6}{4+8}\\\\&=\dfrac{-8}{12}\\\\&=\dfrac{-8 \div 4}{12 \div 4}\\\\&=-\dfrac{2}{3}\end{aligned}\)

Answer:

\({ \sf{h(x) = \frac{2x - 6}{ {4x}^{2} + 8 } }} \\ \)

h(-1) implies that x = -1; therefore

\({ \sf{h( - 1) = \frac{2( - 1) - 6}{4 {( - 1)}^{2} + 8 } }} \\ \\ { \sf{h( - 1) = \frac{ - 2 - 6}{4 + 8} }} \\ \\ { \sf{h( - 1) = \frac{ - 8}{12} }} \\ \\ { \boxed{ \sf{ \: h( - 1) = - \frac{2}{3} }}}\)

Answer:

true

Step-by-step explanation:

3-2=1

-9-4=-13

Answer:

yo can someone answere this i need it to

Step-by-step explanation:

Answer:

When x = 0 and x = 6 then function is undefined.

Step-by-step explanation:

When the denominator of the function is zero, then the function  is undefined.

  x² - 6x = 0

x(x - 6)   = 0

x = 0  or x - 6 = 0

                   x = 6

When x = 0 or x = 6, the denominator will become zero.

x = 0  ⇒ x² - 6x = 0   and

x = 6 ⇒  x² - 6x = 6² - 6*6

                          = 36 -36

                           = 0

When x = 0 and x = 6 then function is undefined.

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

Learn more on trigonometry identity here: https://brainly.com/question/24496175

#SPJ1

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = \(\sqrt{s(s-a)(s-b)(s-c)}\)

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = \(\sqrt{48(48-24)(48-32)(48-40)}\)

Area = \(\sqrt{48(24)(16)(8)}\)

Area = \(\sqrt{147,456}\)

Area = 384 cm²

Answer: You need to increase the terms of one or both fractions so both fractions have the same dominator

Step-by-step explanation:

A easiest way to do this is to use the "cross-multiplication"

Cross-multiplication: Cross-multiply the two fractions and create two fractions that have a common denominator

You can also search on yt a tutorial step by step

Answer:

The answer is 87.

Step-by-step explanation:

1) Simplify 84 ÷ 2 to 42.

\(45 + 42\)

2) Simplify.

\(87\)

Therefor, the answer is 87.

Answer:

124

Step-by-step explanation:

62 * 2 = 124

I hope this helped! Please mark Brainliest, thank you so much!!!

9514 1404 393

Answer:

  63.4% are girls

Step-by-step explanation:

The percentage that is boys is ...

  1244/3400 × 100% = 36.6%

The remaining fraction is girls:

  100% -36.6% = 63.4% . . . girls

The total 460 cards are sold on Mothers day.

Given that, Bob's gift shop sold a record number of cards for Mother's Day.

One salesman sold 46 cards, which was 10% of the cards sold for Mother's Day.

Let the number of cards sold on mothers day be x.

Here, 10% of x =46

10/100 ×x= 46

10x=4600

x=460

Therefore, total 460 cards are sold on Mothers day.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

The minimal point does not have x = 0.

(a) Kuhn-Tucker conditions for the minimal value of fThe Kuhn-Tucker conditions are a set of necessary conditions for a point x* to be a minimum of a constrained optimization problem subject to inequality constraints. These conditions provide a way to find the optimal values of x1, x2, ..., xn that maximize or minimize a function f subject to a set of constraints. Let's first write down the Lagrangian: L(x, y, λ1, λ2, λ3) = f(x, y) - λ1(x+y-1) - λ2(xy-3) - λ3x - λ4y Where λ1, λ2, λ3, and λ4 are the Kuhn-Tucker multipliers associated with the constraints. Taking partial derivatives of L with respect to x, y, λ1, λ2, λ3, and λ4 and setting them equal to 0, we get the following set of equations: 4x - 2y - λ1 - λ2y - λ3 = 0 2y - 2x - λ1 - λ2x - λ4 = 0 x + y - 1 ≤ 0 xy - 3 ≤ 0 λ1 ≥ 0 λ2 ≥ 0 λ3 ≥ 0 λ4 ≥ 0 λ1(x + y - 1) = 0 λ2(xy - 3) = 0 From the complementary slackness condition, λ1(x + y - 1) = 0 and λ2(xy - 3) = 0. This implies that either λ1 = 0 or x + y - 1 = 0, and either λ2 = 0 or xy - 3 = 0. If λ1 > 0 and λ2 > 0, then x + y - 1 = 0 and xy - 3 = 0. If λ1 > 0 and λ2 = 0, then x + y - 1 = 0. If λ1 = 0 and λ2 > 0, then xy - 3 = 0. We now consider each case separately. Case 1: λ1 > 0 and λ2 > 0From λ1(x + y - 1) = 0 and λ2(xy - 3) = 0, we have the following possibilities: x + y - 1 = 0, xy - 3 ≤ 0 (i.e., xy = 3), λ1 > 0, λ2 > 0 x + y - 1 ≤ 0, xy - 3 = 0 (i.e., x = 3/y), λ1 > 0, λ2 > 0 x + y - 1 = 0, xy - 3 = 0 (i.e., x = y = √3), λ1 > 0, λ2 > 0 We can exclude the second case because it violates the constraint x, y ≥ 0. The first and third cases satisfy all the Kuhn-Tucker conditions, and we can check that they correspond to local minima of f subject to the constraints. For the first case, we have x = y = √3/2 and f(x, y) = -1/2. For the third case, we have x = y = √3 and f(x, y) = -2. Case 2: λ1 > 0 and λ2 = 0From λ1(x + y - 1) = 0, we have x + y - 1 = 0 (because λ1 > 0). From the first Kuhn-Tucker condition, we have 4x - 2y - λ1 = λ1y. Since λ1 > 0, we can solve for y to get y = (4x - λ1)/(2 + λ1). Substituting this into the constraint x + y - 1 = 0, we get x + (4x - λ1)/(2 + λ1) - 1 = 0. Solving for x, we get x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4. We can check that this satisfies all the Kuhn-Tucker conditions for λ1 > 0, and we can also check that it corresponds to a local minimum of f subject to the constraints. For this value of x, we have y = (4x - λ1)/(2 + λ1), and we can compute f(x, y) = -3/4 + (5λ1^2 + 4λ1 + 1)/(2(2 + λ1)^2). Case 3: λ1 = 0 and λ2 > 0From λ2(xy - 3) = 0, we have xy - 3 = 0 (because λ2 > 0). Substituting this into the constraint x + y - 1 ≥ 0, we get x + (3/x) - 1 ≥ 0. This implies that x^2 + (3 - x) - x ≥ 0, or equivalently, x^2 - x + 3 ≥ 0. The discriminant of this quadratic is negative, so it has no real roots. Therefore, there are no feasible solutions in this case. Case 4: λ1 = 0 and λ2 = 0From λ1(x + y - 1) = 0 and λ2(xy - 3) = 0, we have x + y - 1 ≤ 0 and xy - 3 ≤ 0. This implies that x, y > 0, and we can use the first and second Kuhn-Tucker conditions to get 4x - 2y = 0 2y - 2x = 0 x + y - 1 = 0 xy - 3 = 0 Solving these equations, we get x = y = √3 and f(x, y) = -2. (b) Show that the minimal point does not have x=0.To show that the minimal point does not have x=0, we need to find the optimal value of x that minimizes f subject to the constraints and show that x > 0. From the Kuhn-Tucker conditions, we know that the optimal value of x satisfies one of the following conditions: x = y = √3/2 (λ1 > 0, λ2 > 0) x = √3 (λ1 > 0, λ2 > 0) x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4 (λ1 > 0, λ2 = 0) If x = y = √3/2, then x > 0. If x = √3, then x > 0. If x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4, then x > 0 because λ1 ≥ 0.

To know more about constraints, visit:

https://brainly.com/question/17156848

#SPJ11

Answer:

  area ≈ 9.219 square units

Step-by-step explanation:

You want the approximate area under the curve y = -1/2x² +x +5 on the interval [1.5, 4] using 5 trapezoids.

The interval can be divided into 5 intervals of width ...

  (4 -1.5)/5 = 2.5/5 = 0.5

The "bases" of each trapezoid will be the function values at the ends of the intervals, for example, at x=1.5 and x=2. The "height" of each trapezoid is the width of the sub-interval, 0.5.

The area formula for a trapezoid applies:

  A = 1/2(b1 +b2)h

  A = 1/2(f(x) +f(x +0.5))·0.5 . . . . . for x = 1.5, 2, 2.5, 3, 3.5

The sum of the areas is computed in the attachment as ...

  area under the curve = 9.21875

__

Additional comment

The value of the integral is 445/48 ≈ 9.2708333...

Answer:

x = ±20

Step-by-step explanation:

x² - 1 = 399

x² = 400

x = ±√(400)

x = ±20

Hello !

Answer:

\(\boxed{\sf x=\pm 20}\)

Step-by-step explanation:

We want to solve the following equation :

\(x^2-1=399\)

Let's add 1 to both sides :

\(x^2-1+1=399+1\\x^2=400\)

We know that if \(x^2=a\) (assuming \(a\geq 0\)), then \(x=\pm\sqrt a\).

Let's apply this to our equation :

\(\sf x=\pm \sqrt {400}\\x=20\ \sf{or}\ x=-20\)

This equation has two solutions: x = 20 and x = -20

Have a nice day !

Answer:

y = -23x + 85

Step-by-step explanation:

for an equation to be parallel to another, they must have the same slope. So plugging in (4, -7) we get -7 = -23(4) + P. P being the new y intercept we must find. Now simple algebra add -23(4) = -92 to both sides and we get 85 = P. Plug in to y = mx + b and we get

y = -23x + 85

Triangles are said to be congruent if two of their sides and the included angle are the same as their corresponding sides and angles of another triangle.

When determining if a set of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, triangles are congruent if their two sides and included angles are the same as those of another triangle.

If two sides and an included angle of one triangle are equal to the sides and an included angle of the second triangle .

Then two triangles are said to be congruent according to the SAS. According to SAS theorem of congruence, two triangles are congruent if the corresponding two sides and their included angles in one triangle .

To know more about SAS visit :-

https://brainly.com/question/28035848

#SPJ4

9514 1404 393

Answer:

  g(f(x)) = x . . . so the functions are inverses

Step-by-step explanation:

Two functions f and g are inverses of each other if ...

  g(f(x)) = x   or   f(g(x)) = x

We are asked to evaluate g(f(x)). That will be x if the functions are inverses.

  g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1

  g(f(x)) = x . . . . the functions are inverses