There are 90000 palindromes 10-digit numbers.
In this question we need to find the number of 10-digit integers are there which are palindromes.
We know that a palindrome is a number that reads the same forward and backward.
The numbers that remain same even if they are reversed.
For exa., 131, 5225
We can observe that for even digit palindromes first half should be equal second half in reversed order.
we can generalize it as variables:
abcdeedcba, for a not equal to 0
So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.
There are 10 digits in total (0 - 9)
Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)
The second, third, fourth and fifth digit has all 10 choices.
So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.
Therefore, the total 10-digit numbers which are palindromes = 90000
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. Group of answer choices
A 50 x minus 25 = 72
B 18 x minus 9 = 72
C 18 x minus 15 = 72
D 3 (6 x minus 3) = 72
E x = 4.5
The following equations will have the same value of x as the one provided:
(B) 18x - 9 = 72; (D) 3(6x - 3) = 72; (E) x = 4.5
What are equations?A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation.
Like 3x + 5 = 15, for instance.
Equations come in a wide variety of forms, including linear, quadratic, cubic, and others.
So, the given equation is:
3/5(30x-15)=72
Now, we have:
3/5 * 30x - 3/5 * 15 = 72
18x - 9 = 72
Using common 3 as an example, we have the following on the left side of the equation:
3(6x-3) = 72
6x-3 = 72/3
6x-3 = 24
6x = 24+3
6x = 27
x = 27/6
x = 9/2
x = 4.5
Therefore, the following equations will have the same value of x as the one provided:
(B) 18x - 9 = 72; (D) 3(6x - 3) = 72; (E) x = 4.5
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MATH QUESTION! I WILL MAKE U BRAINLIST!
Step-by-step explanation:
please mark as brainliest
HURRY PLEASE
Based the equation, what is
the slope
y= 3x+1
Answer:
3
Step-by-step explanation:
y=mx + b, slope = m.
1
Solve for x: (2x - 1) + (4x + 9) = 32 m
O x = 40/6
O x = 4
x = 22/6
Other
Answer:
\(x = \frac{40}{6} \)Step-by-step explanation:
To solve the equation
(2x - 1) + (4x + 9) = 32
First of all remove the parenthesis
That's
2x - 1 + 4x + 9 = 32
Simplify
We have
6x - 8 = 32
Add 8 to both sides
Thats
6x - 8 + 8 = 32 + 8
6x = 40
Divide both sides by 6
That's
\( \frac{6x}{6} = \frac{40}{6} \)
We have the final answer as
\(x = \frac{40}{6} \)
Hope this helps you
Answer:
2x -1 + 4x +9 =32=) 6x +8 =32=) 6x ==32-8=) 6 x = 24=) x = 24/6=) x = 4Why is x = 6 a solution to the proportion StartFraction 192/36=32/x?
Answer:
C
Step-by-step explanation:
When you cross multiply 192 times 6 it equals 1152 and if you multiply 32 times 36 you get 1152 and 1152 is equal to 1152.
Simplify \(\frac{sec(a)-csc(a)}{sec(a)+csc(a)}\)
The simplified version of (sec a - cosec a) / (sec a + cosec a) is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).
What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given:
(sec a - cosec a) / (sec a + cosec a)
Multiply the numerator and denominator by (sec a - cosec a)
(sec a - cosec a) / (sec a + cosec a) × (sec a - cosec a)
(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)
As we know,
\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)
sec² a cosec² a - 2sec a cosec a / (sec²a - cosec²a)
sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)
cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)
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A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?
Answer:
$568.16
Step-by-step explanation:
Answer: The answer to your problem is $568.16
start with -5 + -3 = -8
a. -5 1/4 + -3 = ?
b. -5 1/4 + -3 3/5 = ?
c. -5 1/4 + -3 2/3 =?
Answer:
a. -63/4
b. -387/20
C. -281/12
I think it will help you
Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i
Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.
2/(2+5√-1)
then multiply it by 2-5√-1 on the numerator and denominator and we have
[2(2 - 5√-1)] / [4 - 25(1)]
(4-10√-1)/(-21)
Answer:7
Step-by-step explanation:
The perimeter of a rectangular field is 194m. Three times the width of the garden is 5 meters more than its length. Which system of equations could be used to find the length (L) and the width (W) of the field?
Answer:
Step-by-step explanation:
so we know 3w = L + 5
and then we know that 2w + 2L = 194
so those are our two equations
since we have L by itself in the first equation, we are going to move the 5
L = 3w - 5
so now we can plug that in as L in the second equation
2w + 2(3w - 5) = 194
so now we distribute that 2
2w + 6w - 10 = 194
then simplify
8w - 10 = 194
then add the 10 to the other side
8w = 204
then we divide the 8
we get w = 25.5
so now we take that and go all the way back and plug that into the othr equation (ik this is a lot)
L = 3w - 5
so we plug in what we got for w
L = 3(25.5) -5
then multiply
L = 76.5 - 5
L = 71.5
so we end up with
w = 25.5 and L = 71.5
have a great day!! <3
a cone-shaped pile of sawdust has a base diameter of 26 feet, and is 8 feet tall. find the volume of the pile
Answer: before I answer this do you need it in cubic feet or inches?
Step-by-step explanation:
Answer:
1,415.09 ft3
Step-by-step explanation:
First you would start off by finding the area of the circle. 13 squared is 169. Then you would multiply it by 3.14. You now have 530.66. Then you multiply it by 8 giving you 4,245.28. Then multiply that number by 1/3 which gives you 1,415.09 ft3.
Hope this helps!
Help help help math math
Answer:
V = 500 cm³
Step-by-step explanation:
V = 4/3 πr³
V = (4/3) × 3 × (5 cm)³
V = 4 × 125 cm³
V = 500 cm³
consider the following discrete probability distribution. x −10 0 10 20 p(x = x) 0.35 0.10 0.15 0.40 what is the probability that x is less than 5?
The probability that x is less than 5 = 0.45
Discrete probability distribution:
It is a type of probability distribution that displays all the possible values of a discrete random variable accompanying the affiliated probabilities. We can also say that a discrete probability distribution provides the chance of occurrence of every possible value of a discrete random variable.
Discrete probability distribution:
x = -10 0 10 20
P(X=x) = 0.35 0.10 0.15 0.40
The probability that x is less than 5:
P(X<5) = 1 - P (X = 10) - P(X= 20)
1 - 0.15 - 0.40 = 0.45
The probability that x is less than 5 is = 0.45
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a student claims that a 180 degree rotation of a vertical angle will always map to the other vertical angle thus proving that they are congruent. the teacher asks how the student knows that 180 degrees will land it exactly on the vertical angle. how should the student respond ?
Given: A 180 degree rotation of a vertical angle will always map to the other vertical angle
To Determine: The prove that the vertical angles are congruent
Draw and label to vertical lines with an angle
The 180 degree rotation of the vertical angle BOC would give:
Note that the other vertical would be AOD
The students should respond that
\(\begin{gathered} m\angle BOC\cong m\angle\text{AOD} \\ \text{This is because vertically opposite angles are equal} \end{gathered}\)Hence, the 180 degree rotation of a vertical angle will always map to the other vertical angle which are congruent to each other because:
The vertical angles are vertically opposite to each other
0,7 as common fraction
Answer:
Sure! A common fraction would be 7/10, because it is the simplest form that we can have of .7 in a fraction form.
CORRECT ANSWERS ONLY PLES ASAP!!!!! It costs $2 to spin the spinner shown below. If you land on an even number, you win $8. If you land on an odd number, you get nothing. What is the expected value of playing this game one time?
$8
$3
$1
$6
Step-by-step explanation:
2 is an even number so if everytime u land on an even number u win $8 so we do this (8-2=6)
HELP ASAP PLEASE!!!
What is the degree measure of ABC given that A=25 & C=135?
Answer:
m∠ABC = 110°
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles"
m∠BAC + m∠ABC = 135°
25° + m∠ABC = 135°
m∠ABC = 135° - 25°
= 110°
Therefore, measure of angle ABC is 110°.
-5/8+(4/3) can someone please help
Solve the given equation
x – 1 + 5x = 23
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
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Mehl (2007) published a study in the journal Science reporting the results of an extensive study of 396 men and women comparing the number of words uttered per day by each sex. He found that on average women uttered 16,215 words a day and men uttered 15,669 words a day. The effect size calculated on the basis of his findings is Cohen's d = 0.02. According to Cohen's conventions for interpreting d, this effect is:
a. small.
b. medium.
c. large.
d. so small as to be considered virtually no effect.
Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.
According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.
In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:
Small effect: d = 0.2
Medium effect: d = 0.5
Large effect: d = 0.8
Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.
Therefore, the correct answer is a. small.
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Q1.
Write 1. 74 x 10^-4 as an ordinary number?
Q2.
Write 358. 41 x 10^5 in a standard form
Q3.
Write 4 670 000 in a standard form
The numbers in ordinary and standard form are :
1. 0.000174
2. 35,84,1000
3. 4.67×10⁶
The first and second number can be written by simply performing multiplication. The difference lies in the postion of zeroes. When the power is negative, the exponent will be written in denominator. Therefore, the zeroes will be placed on left. As we see, 1.74/10000
Value = 0.000174
In the second number we seee power is positive. In such casee exponent will be expanded in numerator only. Thus, multiplication will give the result and shift zero to right.
Value = 35,84,1000
The third number is to solved similar to last one. We will introduce ten and move the decimal to left in the digit. The number of digits will define the power. Value = 4.67×10⁶
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Point (2, 4) is reflected across the x-axis. What are
the coordinates of its image?
Answer:
The coordinates of its image are (2, -4)
Step-by-step explanation:
Let us revise the rules of reflection across the axes
If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y) If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)∵ The point (2, 4) is reflected across the x-axis
→ By using the first rule above rx-axis (x, y) → (x, -y)
∴ Change the sign of its y-coordinate
∴ Its image is (2, -4)
∴ The coordinates of its image are (2, -4)
I need help simplifying this problem. Please and thank you!
(2a^2-2b^2)/(√a+√b)
Answer:
you can download app called symbolab
Answer:
5/32a¹³b i think
Step-by-step explanation:
f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).
f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. a research team examined the adhesive properties of 7 tokay geckos. below are their toe-pad areas (in square centimeters, cm2). 5.6 4.9 6.0 5.1 5.5 5.1 7.5 what is the value of the sample variance? _____ cm2 answer
Answer: 0.6763 cm∧2
Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.
The sample variance would be calculated as follows:
Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)
Mean: Sum of samples / population size ;
(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67
Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2
Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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Rick used 4-2-3 yards to sew 3-1-2 shirts what is the unit rate of cloth he used in terms of yards per shirt Mathematics 7th grade
If Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
The unit rate of cloth he used in terms of yards per shirt is found by dividing the 3 1/2 shirts by 4 2/3 yards,
\(= 4 \dfrac{2}{3} / 3 \dfrac{1}{2} \\\\ = \dfrac{14}{3} / \dfrac{7}{2} \\\\ = \dfrac{14}{3} \times \dfrac{2}{7} \\\\ = \dfrac{4}{3}\)
Thus, if Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.
The question is incomplete
The complete question is"Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?"
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lets fine the answer
which type of graph represents a system of linear equations that has muttiple common coordinate pairs as a solutions
The type of graph that represents a system of linear equations that has multiple common coordinate pairs as a solution is called a line of best fit.
A line of best fit is a line drawn through data points that are scattered on a graph in order to illustrate a relationship between the data.
This line helps identify patterns in the data, and when plotted, multiple points can exist on the same line, which in this case represents the multiple common coordinate pairs.
To create a line of best fit, you will need to calculate the slope and the intercept for the equation that models the data. Then, you can plot the points onto the graph and draw a line through them.
The resulting line will be the line of best fit, which represents the multiple common coordinate pairs that are solutions for the system of linear equations.
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A table showing Rate in part per hour, Time in hours, and Part of Room Painted. The first row shows Rocco and has StartFraction 1 Over 7 EndFraction, 3, and StartFraction 3 Over 7 EndFraction t. The second row shows Giulia, and has r, 3, and 3 r.
+ 3r = 7
+ 3r = 1
= r
= 3r
Answer: it takes 7 hours for Rocco to do the job alone.
Step-by-step explanation:
Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone.