Casandra rents a life jacket for a one-time fee of $5. she then rents a boat for $25 per day. write an expression represents the total cost, in dollars, to rent the life jacket and the boat for d days.

Saddle points are critical point that the function didn't in local maximum points nor in a local minimum position. Saddle pointly mostly happen in the multivariable functions. In simple, saddle point is everything on the function accept the local maxima and minimum maxima. The proof what is the saddle shown in the picture. As you can see, the curve besides local maxima and minimum maxima is create an area like a saddle, thats why its called saddle point.

Saddle point availability can be calculate by this logic: lets say we have r = f(q, w), then the point (q, w, r) is told to be a saddle point if each derivatives fq(q, w) and fw(q, w) subside,and f  is not in any local maximum or local minima value at (x, y).

Learn more about saddle points at https://brainly.com/question/17465347

#SPJ4

Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

learn more about variability here :
brainly.com/question/17344045

#SPJ4

Answer:

$28.40... I think

Step-by-step explanation:

I had this question before, but it was a while ago!

Hope this helps!

Answer:

$29.00

Explanation:

First, we need to find out how much will be taken off.

To do so, we need to find 1/5 of 30. We can do this by dividing 30 by 5. This gives us 6.

Next, we need to find 1/10 of 30. We can do so by dividing 30 by 10. This gives us 3.

Then, we add 3 and 6 together to get 9, or how much she will get taken off the sale price in total.

Next, we subtract 9 from 30, which gives us 21.

Finally, we subtract 21 from 50 to get 29, our answer.

Answer:

$37,392

Step-by-step explanation:

A = r^2 times Pi. 63 diameter = 31.5. Pi = 3.14 A = 31.5^2(992.25) = 3,115.665.

If fence cost $12 per meter, 3,115.665 is rounded to 3,116. 3,116 times 12 = $37,392

Answer:

Please check the explanation.

Step-by-step explanation:

Given

ABC ↔ RQP

It means

Please check the attached diagram.

Here,

Parts of ΔABC that correspond to

(i) PQ

From the diagram, it is clear that:

PQ corresponds to CB

(ii) ∠Q

∠Q corresponds to ∠B

(iii) RP

RP corresponds to AC

Answer:

it lies in the middle term in the arranged data set the medium class interval is corresponding were the medium Value falls

Step-by-step explanation:

I hope it will help

a) Slope intercept form

We see in the graph that the y-intercept is y=4, so b=4.

Then, using another known point like (3,0) we can calculate the slope:

Then, the equation becomes:

b) Point slope form

We will use the known slope m=-4/3 and one of the points (3,0):

c) Perpendicular line that pases through the point (5,-4):

In order to be perpendicular, the line slopes has to be opposite reciprocals:

Then, the perpendicular line has a slope of 3/4.

To make it go through the point (5,-4), we replace this values in the equation and calculate the y-intercept b:

The equation of the perpendicular line that goes through (5,-4) is:

d) Parallel line that goes through (0,3).

Parallel lines have the same slope.

In this case, the slope is -4/3.

If we replace the values of x and y with the point (0,3) we get thte y-intercept b:

We could have already now that the intercept was 3 because this is the value when x=0.

The equation of the line is:

Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.

The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.

The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.

Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.

Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.

To learn more about Arithmetic operations link is here

brainly.com/question/30553381

#SPJ4

Answer: 24

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Yes, If 3/7 is written as a decimal then the digits after the decimal eventually repeat.

A number system is defined as a system of writing to express numbers.

Yes, the decimal representation of 3/7 will eventually repeat.

To convert the fraction 3/7 to a decimal, we can use long division.

Three by seven is a fraction, A fraction represents a part of a whole.

3/7 = 0.42857142857

The digits after the decimal point begin to repeat after the first six digits. Therefore, the decimal representation of 3/7 is 0.428571, with the digits 285714 repeating indefinitely.

Hence, If 3/7 is written as a decimal then the digits after the decimal eventually repeat is true.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ3

Answer:

33 grams remain after 16 years

Step-by-step explanation:

The formula is \(A= A_{o} (0.5)^{t/h}\)

h = 27

Ao = 50

t = 16

So enter into formula

\(A=50(0.5)^{16/27}\)

\(A=50(0.5)^{0.59259259259} \\A= 50(0.66315012286)\\A= 33.158\)

After rounding to the nearest whole number,

33.158 is = 33

Answer:

a. The equation is s =  \(\frac{1}{3}\)  w

b. \(1\frac{5}{12}\)  cups of sugar will be needed to follow the recipe

Step-by-step explanation:

The equation of the direct proportional relation is y = k x, where

We can find the value of k by using the initial values of x and y

Let us use this rule to solve the question

∵ In the recipe for 1/2 cup of sugar for every 1 1/2 cups of water

→ That means the number of cups of sugar is in proportion to the

   number of cups of water

∵ s represents the number of cups of sugar

∵ w represents the number of cups of water

∴ s ∝ w ⇒ (∝ a sign of proportion)

∴ s = k w ⇒ k is the constant of proportionality

∵ s = \(\frac{1}{2}\) and w = \(1\frac{1}{2}=\frac{3}{2}\)

Substitute the values of s and w in the equation above to find k

∵ \(\frac{1}{2}\) = k × \(\frac{3}{2}\)

→ Multiply both sides by 2 to cancel the denominators

∴ 1 = 3 k

→ Divide both sides by 3 to find k

∴ \(\frac{1}{3}\) = k

∴ The equation is s =  \(\frac{1}{3}\)  w ⇒ a.

→ We need to find the number of sugar cups for 4 1/4 cups of water

∵ w = \(4\frac{1}{4}=\frac{17}{4}\)

∵ s =  \(\frac{1}{3}\)  w

→ Substitute w by 5/4

∴ s = \(\frac{1}{3}\) × \(\frac{17}{4}\)

∴ s = \(\frac{17}{12}=1\frac{5}{12}\)

∴  \(1\frac{5}{12}\)  cups of sugar will be needed to follow the recipe ⇒ b.

Answer:

3(2)+8= 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

its pretty much 6+8

Answer:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Step-by-step explanation:

On the graph, there are 3 points given, which are:

(5, 3), which means 3 pages are edited every 5 mins

(10, 6), which means 6 pages are edited every 10 mins.

(15, 9), which means 9 pages are edited every 9 mins.

Pages edited per minute, using the point (10, 6) would be:

y/x = 6/10. This means ⁶/10 of a page is edited per minute

The correct statements that interprets the graph are:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Answer:

Step-by-step explanation: 6/10 paiges 3 purges

Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by \(D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$\).

Therefore,

A = \((x_{1} , y_{1} )\) = (3, 2), B = \((x_{2} , y_{2} )\) = (-2, -3)

\(& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}\)  units

B = \((x_{1} , y_{1} )\) = (-2, -3), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}\)  units

A = \((x_{1} , y_{1} )\) = (3, 2), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}\)  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

\(& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\\)

\(& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2\)

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

For more questions on Pythagoras's Theorem

https://brainly.com/question/9266307

#SPJ4

What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these

Answer:

I think your answer should be 26

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

13/3 ×6/1

Applying the fractions formula for multiplication,

13/3 x 6/1

=78/3

Simplifying 78/3, the answer is

=26

I'm not positive but this is how I solved the problem:

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

Answer:

25

Step-by-step explanation:

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation in algebra. For example, 3x + 5 = 14 is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign. so yeah 25

Answer:

its how much money he will get

Step-by-step explanation:

The graph of each function in the piecewise function is added as an attachment

The equation of the piecewise function is given as

f(x) = 1/4x - 5  if x < 4

         x + 3 if x ≥ 4

In the above definition of the piecewise function, we have the following functions and the domains

f(x) = 1/4x - 5 at a domain of x < 4

f(x) = x + 3 at a domain of x ≥ 4

Note that:

The domain of the function is the set of input values of the graph

This in other words mean the domain of a function is the set of x values of the graph.

Next, we plot the graph of each function in the piecewise function in their respective domain

See attachment for the graph of each function in the piecewise function,

On the graph, the blue line represents f(x) = 1/4x - 5 while the other line represents f(x) = x + 3

Read more about piecewise function at

brainly.com/question/3628123

#SPJ1

Possible question

Plot of the piecewise function

f(x) = 1/4x - 5  if x < 4

         x + 3 if x ≥ 4

The particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

The given differential equation is dy/dx = x/y, where y cannot equal 0. It is a separable differential equation that can be solved by rearranging terms and integrating both sides.

To solve the differential equation dy/dx = x/y, we can begin by rearranging the equation to separate the variables. Multiplying both sides by y and dx, we get y dy = x dx. Now, we can integrate both sides:

∫y dy = ∫x dx

Integrating, we obtain (1/2)y^2 = (1/2)x^2 + C, where C is the constant of integration. Simplifying this equation, we have y^2 = x^2 + C.

To find the particular solution, we need an initial condition. Let's assume that at x = 0, y = y0. Substituting these values into the equation, we get y0^2 = 0^2 + C, which gives C = y0^2.

Therefore, the particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

It's important to note that the solution is valid as long as y ≠ 0, as division by zero is undefined.

Learn more about differential equation here:

https://brainly.com/question/31492438

#SPJ11

Rοunding tο the nearest hundredth the answer is D. 2.38 secοnds.

A parabοlic functiοn is a functiοn that can be represented by a quadratic equatiοn οf the fοrm \(f(x) = ax^2 + bx + c\), where a, b, and c are cοnstants and a is nοt equal tο 0.

We can determine the maximum height by finding the vertex οf the parabοlic functiοn \(h(t) = -16t^2 + 76t\).

The t-value οf the vertex is given by -b/2a, where a=-16 and

\(b=76:t = -b/2a = -76/(2*(-16)) = 2.375\)

Sο the maximum height οccurs after 2.375 secοnds.

Hence, Rοunding tο the nearest hundredth the answer is D. 2.38 secοnds.

To learn more about parabolic function, Visit

https://brainly.com/question/64712

#SPJ1

When adjusted to the closest whole integer, the base of the skyscraper has a square footage of roughly 1257 square feet.We must determine the location of the tower's foundation because it has the shape of a right circular cylinder.

Area of base =\(\pi * (radius)^2\)

We must compute the area of the circular base of the right circular cylinder in order to determine the size of the tower's base. A circle serves as the foundation of a cylinder, and the formula to get its area is A = r2, where A stands for area and r for radius.

The cylinder's 40-foot diameter is all that is provided. By dividing the diameter by two, one can determine the radius:

The radius of the tower can be calculated by dividing its 40-foot diameter by its two-foot radius. Thus, we get 20 feet when we split the radius (r) of 40 feet by two.

Radius = \(40 ft / 2 = 20 ft\)

Now we can calculate the area of the base using the formula:

Area of base =\(\pi* (20 ft)^2\)

Using an approximation of π as 3.14159, we can evaluate the expression:

Area of base ≈ \(3.14159 * (20 ft)^2\)

Area of base ≈\(3.14159 * 400 ft^2\)

Area of base ≈ \(1256.636 ft^2\)

Using an approximation of π as 3.14, we can calculate the area by multiplying 3.14 by 400. This gives us an approximate value of 1256 square feet for the area of the base of the tower.

For more questions on area

https://brainly.com/question/25292087

#SPJ8

Answer:

Yes

Step-by-step explanation:

Considering the bases are divisible by 7, this would make both ratios as follows

3:21 -> 1:7

5:35 -> 1:7

So yes, these ratios are equivalent

The slope between two points (x1, y1) and (x2, y2) can be found with the following equation:

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

Given the points (1,1) and (2,-3), the slope is:

Slope = (-3-1) / (2-1)

Slope = -4 / 1

Slope = -4

Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

Answer:

$132,000

Step-by-step explanation:

Subtract 12% from 100%:  88%.  Now convert 88% into a decimal fraction:  0.88.  Finally, multiply $150,000 by (0.88).  Answer:  $132,000