A palindrome is a word or number that is the same when read forwards or backwards. For example, DAD is a palindrome, and so is
RACECAR. 484 is a palindrome number, and so is 9229.
What is the sum of a three digit palindrome number that ends in 71 and a four digit palindrome number that ends in 83?

Answers

Answer 1

Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054


Related Questions

What is the equation of the line that passes through the point (−2,−7) and has a slope of 6?

Answers

The equation of the line in slope intercept form is y = 6x + 5

How to determine the equation of the line?

The given parameters are

Slope, m = 6

Points, (x₁, y₁) = (-2, -7)

A linear equation can be represented as

y = slope * x + y-intercept

i.e.

y = m(x - x₁) + y₁

Substitute the known values in the above equation

So, we have the following equation

y = 6(x + 2) - 7

Expand

y = 6x + 12 - 7

Evaluate the like terms

y = 6x + 5

Hence. the linear equation is y = 6x + 5

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A real estate company balances the books for its business on the first day of each month. It hopes to sell houses
every other day of the month. The average number of houses, S, the company sells each day, t, is represented by the inverse of the function S^-1 = t^2+4t-12/t^2-9t+14
-
Which equation represents the average sales each day for the real estate company?

Answers

The inverse function is given as s⁻¹ = [tex]\frac{t^2+4t-12}{t^2-9t+14}[/tex] and the equation represents the average sales each day for the real estate company would be [tex]s^{-1}=\frac{t+6}{t-7}[/tex].

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

A real estate company balances the books for its business on the first day of each month.

It hopes to sell houses every other day of the month.

The average number of houses, S, the company sells each day, t is represented by the inverse of the function given below.

               

               [tex]s^{-1}=\frac{t^2+4t-12}{t^2-9t+14}[/tex]

Then the inverse function can be written as

                   [tex]s^{-1}=\frac{t^2+4t-12}{t^2-9t+14}\\\\s^{-1}=\frac{t^2+6t-2t-12}{t^2-7t-2t+14}\\\\s^{-1}=\frac{(t+6)(t-2)}{(t-7)(t-2)}\\\\s^{-1}=\frac{t+6}{t-7}[/tex]

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Answer:

C. [tex]S=\frac{7t+6}{t-1}[/tex]

Step-by-step explanation:

I got it right on the exam.

First, take the equation and inverse it, replace and t with y and the y with t

[tex]y=\frac{t^{2}+4t-12}{t^{2}-9t+14} \\\\t=\frac{y^{2} +4y-12}{y^{2}-9y+14}[/tex]

Then, factor both the top and bottom

[tex]t=\frac{(y+6)(y-2)}{(y-7)(y-2)}[/tex]

You see that there is a duplicate of the (y-2) in the numerator and denominator, so they cancel out,

[tex]t=\frac{(y+6)}{(y-7)}[/tex]

Now you can start getting the y alone to make an equation,

[tex]t(y-7)=\frac{(y+6)}{(y-7)} (y-7)\\t(y-7)=(y+6)[/tex]

[tex]ty-7t=y+6\\ty-7t-y+7t=y+6-y+7t\\ty-y=7t-6\\y(t-1)=7t-6\\\frac{y(t-1)}{(t-1)} =\frac{7t-6}{t-1} \\y=\frac{7t-6}{t-1}[/tex]

"15 fish per fish tank" translated expression

Answers

Answer:

15/x

Step-by-step explanation:

x = fish tank

15/x

x= fish tank!!!!!!!!!!

how long does it take lena to compress the accordion completely and then stretch it back out to a length of 50\text{ cm}50 cm50, start text, space, c, m, end text?

Answers

It takes Lena to compress the accordion completely and then stretch it back out to a length of 50cm.

It takes Lena 4.1 seconds to compress the accordion completely and then stretch it back out to a length  of 50cm.

I am assuming the function without a T: [tex]A(t) = 25_{cos}(t)+65[/tex]

The function is graphed in the figure attached, and the blue line is [tex]y = 50cm[/tex].

From the graph we see that the accordion is completely stretched  (has minimum length) at [tex]t = \pi[/tex] seconds, and stretches back  to 50cm at [tex]t = 4.069s[/tex]; therefore, it takes Lena 4.069 seconds to stretch the accordion back again, which to the nearest tenth of a second is  4.1s.

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Answer: 1.3s

Step-by-step explanation:

If you're solving for  [tex]A(t)=25cos( \pi t)+65\\[/tex]

The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028. In the year 2028, the total average credit card debt for a U.S. household will be $

Answers

Step-by-step explanation:

The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028.

2028 - 1995 = 33 years, so t = 33

D = 401t + 5940

D = 401(33) + 5940

D = 13,233 + 5940  

D = 19,173

Answer: In the year 2028, the total average credit card debt for a U.S. household will be $19,173

Alfred begins collecting model cars. He buys 3 new model cars every week. Is the number of cars he owns proportional to the number of weeks that have passed since he started his collection?

Answers

The relationship between the number of weeks and cars are proportional since they are dependent on each other.

Proportion

Ratio and Proportion are explained majorly based on fractions. When a fraction is represented in the form of a:b, then it is a ratio whereas a proportion states that two ratios are equal. Here, a and b are any two integers. Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

In this question, Alfred, buy three car each week. As the number of weeks increase, so is the number of his car increasing at definite proportions.

This implies that we can set an equation to represent the number of cars Alfred will have after certain number of weeks.

Let;

x = number of weeksy = number of cars

y = 3x

At week 10, Alfred will have

y = 3(10) = 30 cars

After 10 weeks, Alfred will have 30 cars

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Graph the image of △IJK after the following sequence of transformations:
Translation 17 units left and 5 units up
Reflection across the line y=1

Answers

Please find attached the graph of the image of ΔIJK following a translation transformation of (-17, 5), and a reflection across the line y = 5

What is a transformation in geometry?

A transformation is an operation that changes the location, size and shape of geometric figures.

The coordinates of the vertex of ΔIJK are; I(14, 8), J(8, 5), K(14, 2)

The translation transformation is 17 units left and 5 units up = T₍₋₁₇, ₅₎

The location of the vertices of the image of ΔIJK following the translation transformation are;

[tex]I(14,\, 8)\ \underset{\longrightarrow}{T_{(-17,\, 5)}}\ I'(-3,\, 13)[/tex]

[tex]J(8, 5)\ \underset{\longrightarrow}{T_{(-17,\, 5)}}\ j'(-9,\, 10)[/tex]

[tex]K(14, 2)\ \underset{\longrightarrow}{T_{(-17,\, 5)}}\ K'(-3,\, 7)[/tex]

The coordinates of a point following a reflection across the line y = 1 are as follows;

The coordinates of the vertices of the image I'J'K' relative to the line y = 1 are;

I'(-3, 13), Relative point I'(-3, 12)

J'(-9, 10) has a relative point at (-9, 9)

K'(-3, 7) has a relative point (-3, 6)

The coordinates of the vertices of the reflected image are therefore;

(x, y)  [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex]  (x, -(y - 1))

Which gives;

I'(-3, 12)  [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex] I''(-3, -12 + 1) = I''(-3, -11)

J'(-9, 9) [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex] I''(-9, -9 + 1) = I''(-9, -8)

k'(-3, 6)  [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex] k''(-3, -6 + 1) = k''(-3, -5)

Please find attached the image of the ΔIJK following the translation and reflection transformation

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Find the length of the missing side in the following examples. Round answers to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:[tex]x2{12}5\\ =18[/tex]


Enter a formula using k to connect the two
variables.
y is proportional to x³

Answers

Directly proportional to x.

What is propotionality?In algebra, proportionality is the equality of two ratios. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem. By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved. Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

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If two variables' ratios (yx)(x and y) have the same value as a constant (k=yx)therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.

Hence,Directly proportional to x.

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On the first day of an experiment, a scientist counts 31 bacteria. On the eighth day of the experiment, the count is 310,000 bacteria.

How many times greater is 310,000 than 31?

A. 310,000
B. 10,000
C. 1,000
D. 31

Answers

It’s b 10000 because if you multiply 31 times 10000 it 310,000

which of the following is a quantitative research method that aims to observe the relationship between an independent variable and a dependent variable? a.) a questionnaire b.) secondary data analysis c.) a focus group d.) an experiment

Answers

The correct option is  a.) a questionnaire, used as observing the relationship between independent variable as well as a dependent variable is the goal of a quantitative research technique known as employed as.

Define the term quantitative research method?

Quantitative methods place an emphasis on accurate measurements or the statistical, quantitative, or numerical evaluation of information gathered through surveys, polls, and other types of research, as well as the manipulation of statistical data that has already been obtained using computing methods.

Quantitative research involves gathering numerical information and using it to understand a specific event or generalise it across groups of individuals.

Its primary attributes are:

Typically, organised research tools are used to acquire the data.Given its high reliability, the research study can typically be replicated or redone.The researcher has a specific study question to which unbiased solutions are sought.Before data is collected, the study's various components are all carefully designed.Numbers and statistics make up data, which are frequently displayed in tables, charts, and other non-textual formats.

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A box is filled with black (B), white (W), red (R), green (G), and prink (P) phone cases. A phone case is selected at random. what is the sample space for this experiment? A) S={B,W,R,G,P} B) S={B,W,R} C) S={G,P} D) S={B,R,G,P}

Answers

The sample space contains all the possible outcomes so it is A) {B,W,R,G,P}

Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 12% for 6 months. Calculate the simple interest using I = prt.

A: $69
B: $90
C: $420
D: $1,080

Answers

Oliver has to pay an amount of B: $90 with simple interest.

What is simple interest?

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business.

The bank offered him an interest rate of 12% for 6 months.

P = $1500, r= 12% and t = 6 months or 1/2 or 0.5 years.

∴ SI = (1500×12×0.5)/100.

SI = 15×6.

SI = $90.

The amount of simple interest Oliver has to pay is $90.

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A) A box of mass 9 kg contains x articles each of mass 1.2 kg. Write down an expression for the total mass of the box and its contents.
B) How many articles are there in the box if the total mass of the box and articles is 21 kg?

Answers

Step-by-step explanation:

A. total mass = 9 + (x × 1.2)

B. 21 - 9 = 12kg

12 ÷ 1.2 = 10 articles.

hope it helps. :)

Of the students at Milton Middle School, 112 are girls. If 40% of the students are girls, how many total students are there at Milton Middle school

Answers

280 total students at Milton Middle School
280 because i did the math

A soft drink manufacturer has a daily production cost of C = 70,000 - 120x + 0.055x ^ 2 , where C is the total cost (in dollars) and x is the number of units produced. How many units should they produce each day to yield a minimum cost?
Show all work please.

Answers

The minimum cost will be 1091 units.

Define Vertex Formula.

When the graph crosses its symmetry axes, the vertex formula aids in determining the vertex coordinate of a parabola. The vertex point is often represented by (h, k).

We are aware that a parabola's conventional equation is y=ax²+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient of x² is positive. The vertex should be at the peak of the U-shaped curve if the coefficient of x² is negative.

Given expression is,

C = 70,000 - 120x + 0.055x²

For this equation, the graph will be parabola opening upward.

For that, the vertex will be the minimum cost

x = (-b) / 2a

Here, a = 0.055 , b = -120

Now, plug in the values and find 'x'

minimum cost (x) = ( -(-120) ) / ( 2 * 0.055 )

                            = 120 / 0.11

                            = 120 / 0.11

                            = 1090.90  or 1091 units

Therefore, the minimum cost will be 1091 units.

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PLEASE HELP will mark brainliest

Answers

The slope of the given line in the graph is 0.

What is slope?

 The steepness and direction of a line are measured by its slope. Any two points along the line can be used to calculate it. A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x). The Slope, also known as the Gradient, of a straight line displays how steep the line is. The change in y coordinate relative to the change in x coordinate is known as the slope of an object.

Here the given graph points are,

[tex](x_1-y_1)=(1,1)\\(x_2,y_2)=(4,1)[/tex]

Using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = [tex]\frac{1-1}{4-1}[/tex]

=> slope m = 0/3

=> slope m=0.

Therefore slope of the line is 0.

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Which of the coordinate pairs below are separated by a vertical
distance of greater than 6 units? Select all that apply.
A) (5.1, -3.3) and (5.1, 3.4)
B) (-1, 2.6) and (-1, -4.2)
C) (3.7, 2.2) and (3.7, -3.4)
D) (6, 1.5) and (6, -2)

Answers

Pairs (-1, 2.6) and (-1, -4.2), and (5.1, -3.3) and (5.1, 3.4) has distance greater than 6 unit. Options A and B are correct.

Given that,
The coordinate pairs separated by a vertical distance of greater than 6 units is to be determined.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
(A)
Since the x coordinate is the same in all the pairs, distance on the y axis can only be calculated.

(5.1, -3.3) and (5.1, 3.4)
y = 3.4 - (-3.3)
y = 6.7

Similarly distance,
(B) y = 6.8
(C) y = 5.6
(D) y = 3.5

Thus, Pairs (-1, 2.6) and (-1, -4.2), and (5.1, -3.3) and (5.1, 3.4) has distance greater than 6 unit. Options A and B are correct.

 

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In the first round of math contest, each students had to answer 2 questions. Miriam averaged 76 seconds per question. Jake and Rafael averaged 84 seconds per question, and Sam averaged 80 seconds per question. At the end of the first round, what was the total time for all 4 students?
a) 324 seconds
b) 400 seconds
c) 480 seconds
d) 568 seconds
e) 648 seconds

Answers

At the end of the first round, the total time is 648 seconds ( option E )

What is average ?

An average is the result that you get when you add two or more numbers together and divide the total by the number of numbers you added together.

For example, if there are 10 students in a class with ages 10, 11, 12, 10, 10,12,12,10,11,12 their average age will be( 10+ 11+12+10+10+12+12+10+11+12)/10

for Mariam her average time is 76 which means her total time is 76× 2= 152

for Jake and Rafael their average time is 84 which means their total time is 84×4= 336

for Sam,his average time is 80 which means is total time is 80×2= 160

therefore the total time spent by the 4 students is 152+336+160=648seconds

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Y intercept = -1 and goes through the point (3,8)

Answers

The equation of a line for y-intercept and the coordinate point is y=3x-1.

Given that, y-intercept is -1 and the line passes through the point (3, 8).

What is a y-intercept?

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

Put, c=-1 and (x, y)=(3, 8) in y = mx+c, we get

8=m(3)-1

⇒ 3m=9

⇒ m=3

Substitute c=-1 and m=3 in y = mx+c, we get

y=3x-1

Therefore, the equation of a line for y-intercept and the coordinate point is y=3x-1.

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pasagot po nito

(A) 4, 9, 14, 19, 24, …

Give the next two terms:

Give an expression for the nth term:

Find the 30th term:


(B) 8, 10, 12, 14, 16, …

Give the next two terms:

Give an expression for the nth term:

Find the 30th term:


(C) 1, 8, 15, 22, 29, …

Give the next two terms:

Give an expression for the nth term:

Find the 20th term:

Answers

For each of the arithmetic sequences, we have that:

a)

The next two terms are 29 and 34.The expression for the nth term is of: [tex]a_n = 4 + 5(n - 1)[/tex].The 30th term is: 149.

b)

The next two terms are 18 and 20.The expression for the nth term is of: [tex]a_n = 8 + 2(n - 1)[/tex].The 30th term is: 66.

c)

The next two terms are 36 and 43.The expression for the nth term is of: [tex]a_n = 1 + 7(n - 1)[/tex].The 20th term is: 134.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the following rule:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term of the sequence.

For the sequences in this problem, we have that:

The first terms are, respectively, 4, 8 and 1.The common ratios are, respectively, 5, 2 and 7.

Then the general rule is applied to find the nth term of the sequence, while the next two terms are found adding the common ratio.

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Use the formula A = nr² to find the area of a circle.

PLEASE HELP

Answers

The area of a circle is 12πx-60π unit².

How to use the formula to find the area of a circle?

By examining the given figure, there are two circles i.e the small circular hole and the bigger circle. Since the small is a hole then we have to subtract its area from the area of the bigger circle.

Given:

radius of small circle(r₂) = x+2

radius of bigger circle(r₁) = x+8

The formula of Area(A) = πr²

Area of the figure = A₁ - A₂

                             =  πr₁² - πr₂²

                             =  π(x+8)²- π(x+2)²

                             = π(x²+16x+64) -  π(x²+4x+4)

                             =  x²π+16πx+64π - x²π-4πx-4π

                            =   12πx-60π unit squared

Therefore,  the area of the circle is 12πx-60π unit squared. So the 2nd option is the answer.

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show your work using standard athgorithm

Answers

Work and answers are shown
The answers are in the (square)

a closed right circular cylinder is to have a volume of 128pi cubic inches. find the radius r and height h of the cylinder with minimal surface area

Answers

∛128 is  the radius r and height h of the cylinder with minimal surface area .

What is Surface Area?

The term "area" refers to the area occupied by a flat, two-dimensional surface. In square units, it is calculated. A three-dimensional object's surface area is the space it takes up when viewed from the outside.

       V = πr²n

   128π = πr²n

        n = 128/r²

s = 2πrn + 2πr²

s = 2πr 128/r² +  2πr²

s = 256π/r + 2πr²

ds/dt = - 256π/r²  + 2πr

d²s/dt² = -256/(-2) r³ + 2π

d²s/dt² = 128/r³ + 2π

for maxima or minima

ds/dt = 0

- 256 π/r² + 2πr = 0

256 = 2r³

 r = ∛128

d²s/dt² = 128/(∛128)³  + 2π

           = 2π + 1

d²s/dt² > 0

so surface area is minimum

         a + r  = ∛128

  n = 128(∛128)²

   n = ∛128

r = ∛128  ,  n= ∛128

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I NEED SOME HELP URGENT

solve for the missin lengths in the sets of sumilar figures below.

Answers

The Missing Lengths are AB = 10 units, OP = 10 units and f = 4 units

Similar triangles:

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

When two triangles ΔABC and ΔXYZ are similar then

                    AB/XY = BC/YZ = AC/XZ

Here we have

ΔABC and ΔOPQ which are similar and right-angled triangles

As we know in a right-angled triangle

=>  Hyp² = side² + side²  

From ΔABC,

AB² = AC² + BC²  

=> AB² = 6² + 4²

=> AB² = 100 = 10²

=> AB = 10 units

Since  ΔABC and ΔOPQ are similar

=>  AB/OP = BC/OQ = AC/PQ  

=>  10/OP = 4/ f = 6/ 6

Take 10/OP = 6/ 6  

=>  6(10) = 6(OP)

=>  OP = 10 units  

4/ f = 6/ 6  

=> f = 4 units    

Therefore,

The Missing Lengths are AB = 10 units, OP = 10 units and f = 4 units

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Solve the inequality statement:
2v+1> 7
v > 3
v > 4
v < 3
v < 4

Answers

Answer:

v>3

Step-by-step explanation:

2v>7-1

2v>6

v>6/2

v>3

/what is y-5x=3 solve for Y

Answers

Answer:

y=3+5x

Step-by-step explanation:

Add 5x to both sides.

The answer is y=3+5x!

Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. a. using variables, write out the formula for the point-slope form of the equation. b. identify the values for m, x1, and y1. c. fill these values into the point-slope form of the equation from part (a), and simplify as needed. use the box provided to submit all of your calculations and final answers.

Answers

The point slope form of the equation is = P2 = (11, 2)

What is point slope?The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables. Depending on the facts at hand, there are different ways to find a line's equation. Several techniques include:Form of point slopeForm of a slope-interceptTwo-point form for intercepting

acc to our question-

Since m = and P1 = (2, -1) then x1 = 2 and y1 = -1. 1y – y1 = m (x – x1)y – (-1) = (x – 2)y + 1 = (x – 2)3 (y + 1) = 1(x – 2)3y + 3 = x – 25 = x – 3y or x – 3y = 5(This the standard formula of the line)Step 2: Calculate P2.Select any valueyou with for x or y and substitute it into the equation found instep 1. For this example y will equal 2.x – 3y = 5x – 3(2) = 5x – 6 = 6x = 11

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Use the properties of exponents to rewrite this expression.

(204)

a0a5

What is the value of the rewritten expression when a = -5?

Answers

The rewritten expression will be 4a³ and the value of this expression is -500.

Given in the question:

(2a⁴)² / a⁰a⁵

We know that

(xy)ⁿ = xⁿ × yⁿ ... (i)

We can use equation (i) for the next step of our given expression.

In the case of the numerator:

(2a⁴)² = 2² × a⁸ = 4a⁸

Now, we know, any number to the power of zero is 1.

So, for the denominator, we get:

a⁰a⁵ = 1 × a⁵ = a⁵

We know,

pˣ / pʸ = y ⁽ˣ⁻ʸ⁾ ... (ii)

Using this equation, we can further simplify the given expression:

⇒ 4a⁸ / a⁵

⇒ 4 a⁽⁸ ⁻ ⁵⁾

4 a ³ ... (iii)

Now, in the second part of the question, we need to find the value of the expression.

Given a = -5

Putting this value in equation (iii) we get:

4 a ³

⇒ 4 (-5) ³

⇒ 4 × (-125)

-500

Hence, the simplified expression is 4 a ³ and the value of the simplified equation is -500.

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12 mushrooms $3 How much for one

Answers

Answer:

4

Step-by-step explanation:

12÷3=4

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