Sum of place value and face value of 5 in 75897 is

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Answer:

undefined i think

Step-by-step explanation:

The most sensible average to use in this case would be the mode, which is the value that appears most frequently in the data set. In this case, the mode is 2, which appears 9 times in the data set. This means that the most common number of children in a family in the class is 2.

In this case, the most sensible average to use would be the mode, which is the number that appears most frequently in the data set. This is because the mode represents the most common number of children in the families of the children in the class, which is likely to be a more accurate representation of the typical family size in the class than the mean or median.

To find the mode, we first need to count how many times each number appears in the data set. In this case, the numbers 1, 2, 3, and 4 appear in the data set as follows:

1: 7 times

2: 11 times

3: 3 times

4: 1 time

We can see that the number 2 appears most frequently, with a count of 11. Therefore, the mode in this case is 2, and this is the most sensible average to use in this situation.

Answer:

156

Step-by-step explanation:

You will have approximately $1929.29 available to spend in 6 years.

To calculate the future value of your deposit after 6 years, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)^Time

Plugging in the values:

Present Value (PV) = $1491

Interest Rate = 5.07% = 0.0507

Time = 6 years

Future Value = $1491 * (1 + 0.0507)^6

Calculating the expression:

Future Value = $1491 * (1.0507)^6

Future Value ≈ $1929.29

Therefore, you will have approximately $1929.29 available to spend in 6 years.

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Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

\(\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)\)

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

\(\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}]\)

\(=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}\)bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

\(=\dfrac{x}{\dfrac{x}{4}}=4\)

Hence, she made 4 bracelets.

The average number of newspapers each person purchased is therefore 1 as mean is the average of all observations (total number of observations).

The mean, which is computed by adding each value in a set and dividing it by the total amount of values, is a mathematical measure of a group of numbers' central tendency. The arithmetic mean is another name for it. The mean, for instance, would be: if the numbers are 2, 4, 6, and 8. (2 + 4 + 6 + 8) / 4 = 5 .Thus, 5 represents the set's mean. As a helpful tool for analysing and interpreting numerical data, the mean is frequently used in statistics to refer to a data set's average value.

given

We might begin by dividing each price of purchased newspapers by the corresponding frequency:

0 x 8 = 0

1 x 3 = 3

2 x 0 = 0

3 x 4 = 12

The sum of all observations can then be calculated by adding these values together:All observations added together equal 0 + 3 + 0 + 12 = 15.

Next, by summing the frequencies, we must determine the total number of observations:

8 + 3 + 0 + 4 = 15 observations total.

In order to calculate the mean, we may finally substitute these values into the formula:

mean is the average of all observations (total number of observations)

mean = 15 / 15

mean = 1

The average number of newspapers each person purchased is therefore 1 as mean is the average of all observations (total number of observations).

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Answer:

17 21/32

Step-by-step explanation:

A better score is the SAT score of 2100 which has an average of 1500 with an SD of 325.

In order to determine which is a better score, we compare the scores in standard deviation units.

We can convert the score to standard deviation units by subtracting the mean and dividing by the standard deviation.

ACT: (28-21)/5 = 1.2

SAT: (2100-1500)/325 = 1.38

As we see SAT score is better than ACT score as it is 1.38 standard deviation units above the mean, while the ACT score is only 1.2 standard deviation units above the mean.

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The appropriate unit for the base would be inches (in).

The given formula is A = 1/2 bh where A represents the area of the triangle, b is the base, and h is the height. We are required to solve the formula for b.A) To solve for b, we need to isolate b on one side of the equation as follows: 2A = bh, Divide by h on both sides, we have: 2A/h = bTherefore, the formula for b is given as: b = 2A/hB) Given that the area of the triangle is 48in², we can use the formula obtained in part A to find the value of b. We know that the area A is 48in². Let us assume that the height h is also in inches. Therefore, substituting the given values into the formula for b we obtain:b = 2(48 in²)/h = 96/hSince we know that the area is in square inches, the height is in inches, therefore, the base b must also be in inches. Thus, the appropriate unit for the base would be inches (in).Hence, the appropriate unit for the base would be inches (in).

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h = 0.75m + 49.5 equation models Jeremy’s growth spurt, where h represents his height in inches, and m represents time in months.

Finding the product of two or more integers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.

Jeremy was 49.5 inches tall when this picture was taken, and every month after then, his height has risen 0.75 inches.

h = 0.75m + 49.5, simulates Jeremy's growth spurt, where h represents his height in inches and m indicates time in months.

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Answer:

\(b \: \: \sqrt{32} \)

Thank you ☺️☺️☺️☺️

Answer:

First, put a multiplications sign in between the brackets:

(5x - 2) * (3x + 4)

Then using distributive property:

5x(3x + 4) - 2(3x + 4)

Then using distributive proper once again:

15x^2 + 20x - 6x - 8

Finally, calculate:

15x^2 + 14x - 8

The answer is. \(15x^2-6x+12\)

The question is of the type in algebraic equations.

Here the first step is multiplying the two algebraic expressions.

5x is multiplied with 3x and 4

-2 should be multiplied by 3x and 4.

we will get. \(5x(3x+4)-2(3x+4)\)

Next, we get. \(15x^2+20-6x-8\) (calculating constants and variables)

Therefore, the final answer = \(15x^2-6x+12\).

This type of equation is called as quadratic equation with one variable as the degree of the equation is 2.

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Answer:

C -2 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

test taking strategy:

1.25 is bigger than 50p

so any fractions with top smaller than bottom is wrong

so eliminate A and D

B & C remaining

B = 4

4*50p = 2 pounds, so it's wrong

C is right.

double check:

1.25 / 50 = 2.5 = 5/2 correct

Answer:

10

Step-by-step explanation:

\(2^{2} +10^{2} =c^{2}\)

4+100=\(c^{2}\)

c=\(\sqrt{104}\)

c=10.198

Round to nearest thousandth

c=10

Hope this helps :)

Comment if you need more help :) :)

Answer:

yes you are correct :)

Step-by-step explanation:

Answer:

(-x-3)/9

process

[5(x-3)-3(2x+4)]/9

[5x-15-6x+12]/9

[-x-3]/9

Answer: C

Step-by-step explanation:

just took test

The interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°. The correct option is C.

The interquartile range (IQR) is a measure of the spread of the data's middle 50%. It is defined as the difference between the third and first quartiles (Q1). A larger IQR indicates that the data is spread out more.

Looking at the box plots, we can see that the IQR for town A is the distance between the lower and upper quartiles, which is approximately 30 - 20 = 10 degrees.

The IQR for town B is approximately 45 - 35 = 10 degrees.

So, the interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°.

Option A is incorrect because the IQR for town B exceeds 46o. Option B is incorrect because the box plots do not include the standard deviation. Option D is incorrect because the IQRs for the two towns differ.

Thus, the correct option is C.

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Answer:

0.285 * 10^2

0.285 *100

28.5

Answer:

28.5

Step-by-step explanation:

Answer:

1, 2, 4, 6, 7, 8 (starting from top)

Step-by-step explanation:

for it to be scientific notation, the number has to be between 1 and 10. Hope it helps

-2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

 -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

Answer:

8c= $225

Step-by-step explanation:

Number of shirts ×cost of each shirt= total cost

Since she bought 8 shirts and the cost of each is c,

8c= $225

To solve for c, divide both sides of the equation by 8:

c= $225 ÷8

c= $28.125

Answer:

8c= $225

Step-by-step explanation:

8c÷8= $225÷8

c=28.125

Answer:

as an instinct i thought that i should multiply 11 and 5, so im saying 55 different selections

Step-by-step explanation:

sorry if im wrong

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Is only for x in Q1 (the first quadrant). You draw it with x in any quadrant.

The number of green beads left over = 15

Walter:

Number of green beads = 476

Number of red beads = 32

Agnes:

Number of green beads = 104

Number of red beads = 16

Holly:

Number of green beads = 281

Number of red beads = 80

Total number of red beads = 32+16+80 = 128 beads

Number of red beads required for making one lizard = 16

Since 128/16 = 8 , there will be no red beads left after making 8 lizards.

Total number of green beads = 476+104+281 = 861 beads

Number of green beads required for making one lizard = 94

Now 861/94 = \(9\frac{15}{94}\)

That is , 15 is the remainder when 861 is divided by 94

So there will be 15 green beads left after making 9 lizards.

Therefore, the number of green beads left over = 15

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