My 4-digit number is a palindrome (meaning, that it does not change if you write it backwards), and it has remainder 21 when you divide it by 100. What is my number?

The volume of Pill Bluetooth Speaker is 39.78 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.

The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.

Radius =2/2 1 inch

We know that, the volume of semi sphere is 2/3 πr³

= 2/3 ×3.14×1³

= 2.1 cubic inches

We know that, 1 foot =12 inches

The volume of cylinder is πr²h

= 3.14×1²×12

= 37.68 cubic inches

Total volume =37.68+2.1

= 39.78 cubic inches

Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.

a) Volume of the Bluetooth Speaker ______

The value of x in the given triangle is x = 12  .

Angle Sum Property of the Triangle states that the sum of measure of all three sides of the triangle is 180° .

In the question ,

a triangular figure is given

in which , the measure of angle A is (6x - 19)°

the measure of angle B is \(=\) 84°

the measure of angle C is \(=\) (3x + 7)°

So , By Angle sum property ,

we get

∠A + ∠B + ∠C \(=\) 180°

substituting the values of angle A, B and C ,

we get

(6x - 19)° \(+\) 84° + (3x + 7)° \(=\) 180°

6x - 19 \(+\) 84 \(+\) 3x + 7 \(=\) 180

9x + 72 = 180

9x = 180 - 72

9x = 108

x = 108/9

x = 12

Therefore , the value of x is \(=\) 12

Learn more about Triangles here

https://brainly.com/question/8492819

#SPJ1

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

after adding 3 points to every score in the population, the new mean would be 53 and the new standard deviation would remain as 10.

If 3 points are added to every score in the population, the new values for the mean and standard deviation can be calculated as follows:

a. New mean:

When a constant value is added to each data point in a population, the mean also increases by that constant value. Therefore, adding 3 points to every score would result in the new mean being increased by 3.

New mean = Old mean + 3 = 50 + 3 = 53.

b. New standard deviation:

When a constant value is added to each data point in a population, the standard deviation remains the same. Adding or subtracting a constant value from every score does not change the spread or variability of the data, so the standard deviation remains unaffected.

New standard deviation = Old standard deviation = 10.

To know more about mean visit;

brainly.com/question/31101410

#SPJ11

Answer:

The second one down

Step-by-step explanation:

The 26 ft  ladder is the hypotenuse of the right triangle

24 feet is the vertical leg

First, let's calculate the total number of marks for each group:

Then, we can calculate the mean mark for the whole group by adding up the total number of marks for each group and dividing by the total number of students:

(144 marks + 192 marks) / (8 students + 12 students) = 336 marks / 20 students = 16.8 marks/student

Therefore, the mean mark for the whole group is 16.8.

The mathematical mean is a measure of central tendency that is calculated by adding up all the values in a data set and dividing by the number of values in the set. It is also commonly known as the "average."

Learn more about Mean here:

https://brainly.com/question/28530782

#SPJ4

Answer:

34.5

Step-by-step explanation:

When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

Know more about “hypothesis” here: https://brainly.com/question/17099835

#SPJ4

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle \(\theta\) is given by:

\(\cos{\theta} = \frac{l}{h}\)

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have \(\theta = 50, l = 11\), we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

\(0.6428 = \frac{11}{h}\)

\(0.6428h = 11\)

\(h = \frac{11}{0.6428}\)

\(h = 17.11\)

The other leg:

In a right triangle, with legs \(l_1\) and \(l_2\), and hypothenuse h, the pythagorean theorem states that:

\(l_1^2 + l_2^2 = h^2\)

We already have one of the legs and the hypothenuse, so:

\(11^2 + l^2 = 17.11^2\)

\(l^2 = 17.11^2 - 11^2\)

\(l = \sqrt{17.11^2 - 11^2}\)

\(l = 13.11\)

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

\(P = 11 + 13.11 + 17.11 = 41.22\)

She will need 41.22 meters.

Answer:

is this answer correct?

let me know in comment section below!

Step-by-step explanation:

hope you liked it!

Sothe non-parametric equation of the plane with the given normal vector and passing through the point (5, -6, 0) is: -5x + 6y + 6z + 61 = 0

In order to find the non-parametric equation of the plane, we need the normal vector and a point on the plane. The normal vector is given as (-5, 6, 6), and a point on the plane is (5, -6, 0).

The non-parametric equation of a plane is given by:

Ax + By + Cz = D

where (A, B, C) is the normal vector and (x, y, z) is a point on the plane. We can substitute the values into the equation to find the values of A, B, C, and D.

(-5)(x - 5) + (6)(y + 6) + (6)(z - 0) = 0

Expanding this equation:

-5x + 25 + 6y + 36 + 6z = 0

-5x + 6y + 6z + 61 = 0

Learn more about equations on

https://brainly.com/question/2972832

#SPJ4

The slope intercept equation for a line that passes through the points (-2,4) and (3,-5) is y = -9/5x ₊ 2/5.

Given the points are:

P₁ = (-2,4) = (x₁ , y₁)

P₂ = (3,-5) = (x₂ , y₂)

Therefore, the equation of the line that passes through the above points is:

y = mx ₊ b , Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

= ( -5 - 4 ) / ( 3 - ( -2) ) = -9 / 5

∴ m = - 9/5

Using either P₁ or P₂, plug in one of their respective x- and y-values into:

y = -9/5 x + b

substitute (3,-5)

₋5 = (₋9/5)(3) ₊ b

₋5 = ₋27/5 ₊ b

₋5₊27/5 = b

₋ 25 ₊ 27/5 = b

b = 2/5

slope intercept equation:

y = mx ₊ b

y = -9/5x ₊ 2/5

Therefore, y = -9/5x ₊ 2/5 is the equation of the line that passes through both points (-2, 4) and (3, -5).

Learn more about Slope intercept form here:

https://brainly.com/question/1884491

#SPJ9

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

To know more about Demand Matrix here

https://brainly.com/question/13012912

#SPJ4

Answer:

11.4166666667

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.056

7 is units place = 7 *1

0 is tenth place = 0 *(1/10)

5 is hundredth place = 5 *(1/100)

6 is thousandth place = 6 * (1/1000)

\(7.056 = 7*1+ 0*\frac{1}{10}+5*\frac{1}{100}+6*\frac{1}{1000}\)

Seven and fifty six thousandths

18.3

Eighteen and one third

\(18.3 = 1*10 + 8*1 + 3*\frac{1}{10}\)

918.0201

Nine hundred eighteen and two hundred  one ten thousandths

\(918.0201=9*100 + 1*10 + 8*1 +0 +2*\frac{1}{100}+0+1*\frac{1}{10000}\)

What would a social psychologist call the story? The story is called a prime. A prime is what social psychologists would call the story that participants read right before the task of rating the danger of the object they were shown. A prime is something that influences the response of the main option in the experiment.

A prime, in this case, refers to the story that participants read before rating the danger of the object they saw. The study aims to analyze whether the story has an effect on how participants rated the danger of the objects that they saw.

The term social psychology refers to the scientific study of how people are affected by their social interactions, including how they think, feel, and behave in response to the social world around them.

The prime, in this case, refers to the story that participants read before rating the danger of the object they saw. A prime is an external stimulus that influences the response of the main answer in the experiment.

In this case, the story serves as a prime that potentially affects how the participants perceive the object as dangerous or harmless. The story serves as a prime that shapes the participant's rating of the object they saw.

The story, in this case, serves as an independent variable since it's the one being changed and tested to see if it affects the rating of the object's danger. The dependent variable, in this case, is the rating of the object's danger, since it is being influenced by the prime. The story primes have a direct effect on how participants rate the danger of the objects they are shown.

To know more about psychology  :

brainly.com/question/31538247

#SPJ11

Answer:

-8+10*-8

Step-by-step explanation:

mark me as brainliest ❤️

Step-by-step explanation:

Follow BODMAS rule...

-8+10×(-8)

-8-80

-88 Answer

The function graphed on the axes above should be expressed as a piecewise function as follows;

f(x) = -3x - 8    {x ≤ -2}

    = 6x - 17     {x > 3}

In order to determine the piecewise function, we would determine an equation that represent each of line shown on the graph. Therefore, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 2)/(-4 + 2)

Slope (m) = 6/-2

Slope (m) = -3.

At data point (-2, -2) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = -3(x + 2)  

y = -3x - 8

For the second line, we have:

Slope (m) = (7 - 1)/(4 - 3)

Slope (m) = 6/1

Slope (m) = 6.

At data point (3, 1) and a slope of 6, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = 6(x - 3)  

y = 6x - 17

Read more on piecewise function here: brainly.com/question/18670055

#SPJ1

Answer:

9 x 18  = 162

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Multiply 18 by 9

18 times 9 is 162

To solve the given third-order linear homogeneous differential equation, we can use the method of finding the characteristic equation and its roots. Let's denote y(x) as the solution to the equation.  Answer :  1,7,-31

The characteristic equation is obtained by substituting y(x) = e^(rx) into the differential equation, where r is an unknown constant. Plugging this into the equation, we get:

r^3 - 3r^2 - r + 3 = 0

To solve this equation, we can use various methods, such as factoring, synthetic division, or numerical methods. By applying these methods, we find that the roots of the characteristic equation are r = -1, r = 1, and r = 3.

Since we have distinct real roots, the general solution for y(x) can be expressed as a linear combination of exponential functions:

y(x) = C1e^(-x) + C2e^x + C3e^(3x)

To find the specific solution for the given initial conditions, we can substitute the values of x = 0, y(0) = 1, y'(0) = 7, and y''(0) = -31 into the equation and solve for the unknown coefficients C1, C2, and C3.

Using the initial condition y(0) = 1, we get:

C1 + C2 + C3 = 1

Using the initial condition y'(0) = 7, we get:

-C1 + C2 + 3C3 = 7

Using the initial condition y''(0) = -31, we get:

C1 + C2 + 9C3 = -31

Solving this system of linear equations, we can find the values of C1, C2, and C3. Substituting these values back into the general solution, we obtain the specific solution for y(x).

Learn more about coefficients : brainly.com/question/1594145

#SPJ11

Step-by-step explanation:

What's the rule .

So our answers are

The two graphs that represent proportional relationships are A and C.

A proportional relationship is:

y = k*x

Where k is the constant of proportionality.

So, a proportional relationship is a linear equation that passes through the point (0, 0).

With that in mind, we can see that the two graphs that represent a proportional relationship are A and C.

If you want to learn about proportional relationships:

https://brainly.com/question/12242745

#SPJ5

<Mop=<Qon

<moq=<pon

are vertically opposite angle..

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

Answer:6 ft

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

a) The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.

A null hypothesis is a claim or presumption that there is no association between two observed variables or that observed differences between groups are the result of chance. It is frequently employed in statistical testing, and it is represented by the symbol "H0". The null hypothesis is often the inverse of the alternative hypothesis, which posits a link or difference between the variables. To reject the null hypothesis, the observed data must be statistically significant and unlikely to have occurred by chance. In scientific research, the null hypothesis is crucial because it enables researchers to assess the significance of their data and reach reliable conclusions.

To learn more about null hypothesis, visit:

https://brainly.com/question/28920252

#SPJ4

Answer:

Step-by-step explanation:

At the end of year 1

6000*(1 + 4%) = 6000 * 1.04 = $6240

at the end of year 2

6000*(1+4%)*(1+4%) = $6489.6

The odds of drawing a queen at random from a standard deck of cards are 1 in 13, or 7.7%.

Hence answer is true.

The odds of drawing a queen at random from a standard deck of cards can be calculated by dividing the number of queen cards by the total number of cards in the deck.

There are 4 queens in a standard deck of 52 cards,

so the odds can be expressed as a fraction,

⇒ 4/52

This fraction can be simplified by dividing both the numerator and denominator by the greatest common factor, which is 4.

⇒ 4/52 = 1/13

Hence,

The odds of drawing a queen at random can be expressed as 4:52, which can be simplified to 1:13. This means that there is a 1 in 13 chance of drawing a queen from the deck.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ4

53 seconds

To round to the nearest seconds, we round the next number after the decimal point

Answer:

2-3 is 1 ~

1 + 4 is 5

5+6 = 11

Step-by-step explanation:

So ur answer is 11.

The length of the longest side of the triangle after the revolution will stay at 13 inches.

A right triangle with side lengths of 5 inches, 12 inches, and 13 inches will have the longest side length of 13 crawls after it is pivoted 180 degrees at about a point.

Turning a shape doesn't change its aspects or estimations, so the length of the longest side of the triangle will continue as before even after it is pivoted.

For this situation, the length of the longest side of the triangle is 13 inches, which will in any case be the situation after the rotation is finished.

To learn more about the rotation at

https://brainly.com/question/1571997

#SPJ4

The sum of the polynomials 5m + 2n, n - 3m, and 7 - 3n is 2m + 7.

A polynomial is a mathematical expression involving a sum of powers in one or more variables (indeterminates) with non-negative integer exponents (except for some constant polynomials) and coefficient from some given ring (such as the integers or the real numbers). Polynomials can be represented in the form of:

ax^n + bx^(n - 1) + cx^(n - 2) + . . . + dx + e

Where a, b, c, d, e are coefficients, x is the variable, and n is the degree of the polynomial.

Find the sum by combining like terms.

5m + 2n + (n - 3m) + (7 - 3n)

= (5m - 3m) + (2n + n - 3n) + 7

= 2m + 7

Hence, the sum is 2m + 7.

Learn more about polynomials here: https://brainly.com/question/4142886

#SPJ4