Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?

Answer:

The radius of the circle is 16.97 feet

Step-by-step explanation:

First, we will the determine the length of one the sides of the square lawn.

From the question,

The square lawn has an area of 1152 square feet,

Now, we can determine the length of a side of the square lawn from the formula,

\(A = l^{2}\) ( Formula for Area of a square)

Where \(A\) is the area of the square lawn

and \(l\) is the length of a side of the square lawn

From the question, \(A\) = 1152 square fee

Then,

\(1152 = l^{2}\)

\(l^{2} = 1152\\l = \sqrt{1152}\)

\(l = 24\sqrt{2}\) feet or \(33.94\) feet

This is the length of one of the sides of the square lawn.

From the description in the question, the sprinkler sprays water in a circular pattern that just covers the lawn,

If the circular pattern formed just covers the lawn,

then, the diameter of the circle equals the length of one of the sides of the square lawn, that is,

\(l = d\)

Where \(d\) is the diameter of the circle

Hence, \(d = 24\sqrt{2}\) feet

This is the diameter of the circle.

Now, for the radius of the circle,

From the relation between radius and diameter,

\(Radius = \frac{Diameter}{2}\)

Then,

\(Radius = \frac{24\sqrt{2} }{2}\)

\(Radius = 12\sqrt{2}\) feet or \(16.97\) feet

Hence, the radius of the circle is 16.97 feet

The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

The given parameters are:

Initial = 5200

Rate = 5%

Because the population by 5% every year, then the situation is a geometric sequence.

The common ratio is then calculated as:

Ratio = 1 + Rate

This gives

Ratio = 1 + 5%

Evaluate

Ratio = 1.05

Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

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If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)

Answer:

EC = 3

Step-by-step explanation:

Answer:

120.25

Step-by-step explanation:

4 to the third power is 64. so 64 + 9 = 83. 20-8 = 18. 6 + 2 = 8.

so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = 120.25.

Answer:

52 square units

Step-by-step explanation:

The big area (include red squares) is: \(6\cdot 11=66\) square units

The small area (only red squares) is: \(2\cdot 7=14\) square units

The area shaded in yellow is obtained by subtracting the small area from the big area: \(66-14=52\) square units

The cost of the chocolate for 110 bon-bons  as per given radius , density and cost is equal to $8.80 to the nearest cent.

Volume of a sphere with radius r is ,

V = ( 4/3 )πr³

Radius 'r' of each chocolate bon-bon is 0.8 cm,

Volume of each bon-bon is equals to,

V = ( 4/3 )π (0.8)³

   = 2.144 cm³

Density 'ρ' of the chocolate is 1.3 g/cm^3,

Mass 'm'  of each bon-bon is equals to,

m = ρV

   = ( 1.3 ) ( 2.144 )

   = 2.78grams

The cost of the chocolate used in each bon-bon is $0.03 per gram,

This implies,

Cost of the chocolate used in one bon-bon is ,

= ( 0.03 ) × 2.78

= 0.0834

Rounding to the nearest cent, the cost of the chocolate for one bon-bon is $0.08.

Cost of the chocolate for 110 bon-bons,

= 110 × 0.08

= 8.8

Therefore, the chocolate for 110 bon-bons would cost $8.80 to the nearest cent.

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Answer:

Slope = -4

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, which means that multiplying their slopes result in a product of -1. Given the equation, x - 4y = - 12:

Transform the equation into its slope-intercept form, y = mx + b:

x - 4y  = - 12

x - x - 4y = - x - 12

-4y = -x - 12

Divide both sides by -4:

\(\frac{-4y}{-4} = \frac{-x - 12}{-4}\)

y =  ¼x + 3  ⇒ (This is the slope-intercept form of the given standard equation, x - 4y  = - 12).

Since the slope of the given equation is ¼, then it means that its negative reciprocal must be - 4:

(¼) (-4) = -1

Therefore, the slope of the line perpendicular to x - 4y = - 12 is - 4.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

To translate decimal degrees into DMS, take the following actions:

Converting the following angles from decimal degrees to degrees, minutes, and seconds.

A) 45.5013

The whole number is degrees. So 45.5013 gives you 45degrees.

Multiply the remaining decimal by 60.

0.5013*60 =30.078, so the whole number 30 equals minutes.

Multiply the remaining decimal by 60.

.078*60 = 4.68, so the whole number 4.68 equals seconds.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".

B) Similarly for this 168.7862.

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

C)Similarly for this  87.2530.

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

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The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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The οrdered pair that is a sοlutiοn οf the equatiοn is (-5, 0).

A value οr grοup οf values that satisfy an equatiοn οr an inequality are referred tο as sοlutiοns in mathematics. Fοr instance, if we have the equatiοn 2x + 3 = 7, the answer is x = 2 since we get the cοrrect answer when we replace x with 2: 2(2) + 3 = 7.

Similar tο the last example, if we had an inequality like x + 4 > 10 then the sοlutiοn is x > 6, meaning any value οf x greater than 6 wοuld make the inequality true.

Tο find which οrdered pair is a sοlutiοn οf the equatiοn -5x - 3y = 25, we need tο substitute values οf x and y intο the equatiοn and see if it hοlds true.

Let's try the ordered pairs one by one:

a) (-5, 0)

Substituting x = -5 and y = 0 in the equation, we get:

-5(-5) - 3(0) = 25

25 = 25

This equation is true, so (-5, 0) is a solution of the equation.

b) (0, -8)

Substituting x = 0 and y = -8 in the equation, we get:

-5(0) - 3(-8) = 25

24 = 25

This equation is not true, so (0, -8) is not a solution of the equation.

Therefore, the ordered pair that is a solution of the equation is (-5, 0).

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Complete question:

Which ordered pair is a solution of this equation?

-5x - 3y = 25

a) (-5, 0)

b) (0, -8)

The given differential equation y x²y² = x² is a nonlinear and not separable differential equation, which corresponds to option (D).

A linear differential equation can be written in the form dy/dx + P(x)y = Q(x), where P(x) and Q(x) are functions of x. In this equation, the term x²y² makes it nonlinear.

A separable differential equation can be written in the form g(y)dy = f(x)dx, where g(y) and f(x) are functions of y and x, respectively. However, in the given equation, we cannot separate the variables y and x to obtain such a form.

To solve this particular differential equation, one approach is to rewrite it in a more manageable form. Let's rearrange the terms:

x² = y/(x²y²)

Now, we can multiply both sides by (x²y²) to eliminate the denominator:

x²(x²y²) = y

This equation is still nonlinear but can be used to find a particular solution for y given a specific initial condition.

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Answer:

n x 5

Step-by-step explanation:

The pattern is to multiply each number by 5 so multiplying n by 5 will get you the expression n x 5.

Hope that helps

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

Discount rate= 25%

To calculate the sale price of the sweater, we need to use the following formula:

Sale price= selling price*(1 - discount rate)

Sale price= 35*(1 - 0.25)

Sale price= 35*0.75

Sale price= $26.25

The total area between f(x) = 4x - 10 and the x-axis over the interval [-1, 4] is -14 square units. Since area cannot be negative, it suggests that the graph of f(x) lies below the x-axis within this interval.

To find the total area between the function f(x) = 4x - 10 and the x-axis over the interval [-1, 4], we need to calculate the definite integral of the absolute value of f(x) with respect to x within the given interval.

Since the function f(x) = 4x - 10 is a linear function, the area between f(x) and the x-axis can be represented as the absolute value of the function integrated over the interval.

The total area A is given by:

A = ∫[a to b] |f(x)| dx

In this case, the interval is [-1, 4], so a = -1 and b = 4. Substituting the function into the integral:

A = ∫[-1 to 4] |4x - 10| dx

To calculate the absolute value of the function within the given interval, we need to consider the points where the function crosses the x-axis (i.e., where f(x) = 0).

Setting 4x - 10 = 0, we find x = 10/4 = 2.5. So, the interval [-1, 4] is divided into two subintervals: [-1, 2.5] and [2.5, 4].

Now, we can calculate the total area by splitting the integral into these two subintervals:

A = ∫[-1 to 2.5] (4x - 10) dx + ∫[2.5 to 4] -(4x - 10) dx

Evaluating each integral:

A = [2x^2 - 10x] from -1 to 2.5 + [-2x^2 + 10x] from 2.5 to 4

A = [(2(2.5)^2 - 10(2.5)) - (2(-1)^2 - 10(-1))] + [(-2(4)^2 + 10(4)) - (-2(2.5)^2 + 10(2.5))]

Simplifying further:

A = [(10 - 25) - (-2 + 10)] + [(-32 + 40) - (-10 + 25)]

= [-15 - (-8)] + [8 - 15]

= [-15 + 8] + [8 - 15]

= -7 + (-7)

= -14

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Answer:

tttttttttttttttttttttttttttttttttttttttttttttttt ty

Step-by-step explanation:

Answer:

4

Four subsets of {w, x, y} contain w.

Step-by-step explanation:

There are four subsets that have w in it:

{w} has w in it.

{w, x} has w in it.

{w, y} has w in it.

{w, x, y} has w in it.

The answer is 4.

Math is not present only in exercises of  school, but it is present in day-to-day life of society. For example, math can be used to:

   • pay your bills;

   • go to supermarket;

   • go to restaurant;

   • make a cake or a favorite dish ;

   • play music;

   • read time in a watch;

   • take a medication;

   • write a code for an app mobile.

A great advantage is that numbers are universal, thus the number are the same independent of your location.

It is the science that relates everyday practices and nature to human reasoning and numerical logic.

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Answer:

x = 30

Step-by-step explanation:

If two triangle are similar then the measure of their corresponding sides are

proportional.

   \(\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36\)                              \([ \ cross \ multiply \ ]\)

   \(x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30\)

Answer:

2. 20

Step-by-step explanation:

2. The distance from one base of the prism to the other base of the prism, d = 10 mm

The thickness of each triangle to be used to fill the prism, t = 0.5 mm

The number of triangles needed, n, is therefore;

\(n = \dfrac{d}{t}\)

Where;

d represents the distance between the bases of the prism, t, represents the thickness of each triangle, and n represents the number of triangles it would take to fill up the prism

Therefore;

\(n = \dfrac{10 \, mm}{0.5 \, mm} = 20\)

The number of triangles it would take to fill up the prism, n = 20

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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The total height of the cake and candles is \(16\frac{1}{10}\)

A fraction represents a part of a whole.

Ava's birthday cake is \(11\frac{7}{10}\)

Her candles stick up from the cake an additional \(5\frac{4}{10}\)

We need to find the total height of the  cake and candles

We have to add both the heights.

\(11\frac{7}{10}\) +  \(5\frac{4}{10}\)

107/10+54/10

161/10

\(16\frac{1}{10}\)

Hence, the total height of the cake and candles is \(16\frac{1}{10}\)

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\(\bf{ (x^2-5x)(2x^2+x-3)}\)

\(\bf{Distribute \ the \ sum \ group. }\)

\(\bf{Expand \ the \ distribution \ of \ terms. }\)

\(\bf{Remove \ parentheses. }\)

\(\bf{Collect \ like \ terms. }\)

\(\bf{Simplify}\)

Answer:

i need points

Step-by-step explanation: