write 7/8as a sum two different ways

Answer:

8192

Step-by-step explanation:

2 cells at beginning, so the equation is (2)*(2^(4t)) where t is in hours. At the end of 3 hours, the cells will be 2*(2)^(12)=8192

Answer:

yes

Step-by-step explanation:

grehrehshbrenjt5rahtrere

All the three locations has been checked below.

Using Pythagoras theorem,

12² = 8² + x²

144 - 64 = x²

x= √80

x=8.9

Now, using Trigonometry

tan F = P/B

tan F= 8/8.9

and, sin F = P/H

      sin F= 8/12 = 2/3

and, cos F = B/H

        cos F= 12/8.9

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Answer:

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles, we will compare both equations with the general form of the equation above as shown;

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

Hence the equation of the line containing the centers of the two circles is 3y+x = -5

Answer:

7,560

Step-by-step explanation:

70% of 1750 × 6 = 7,560

Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

Answer:

∠FJH ≅ ∠BJA

Step-by-step explanation:

From the given image, we notice that the only congruent relation ∠FJH has is with ∠BJA.

Where ∠BJA is vertically opposite to ∠FJH

Hence, we can say that ∠FJH ≅ ∠BJA since both these angles are vertically opposite

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Let's begin by identifying key information given to us:

Answer:

Step-by-step explanation:

\(H_0 : \texttt {null hypothesis}\\\\H_1 : \texttt {alternative hypothesis}\)

The null hypothesis is the drink preferences are not changed at coffee shop.

The alternative hypothesis is the drink preferences are changed at coffee shop.

the level of significance = α = 0.05

We get the Test statistic

\(\texttt {Chi square}=\frac{\sum (F_o-F_e)}{F_e}\)

Where, \(F_o\) is observed frequencies and

\(F_e\) is expected frequencies.

N = 6

Degrees of freedom = df = (N – 1)

= 6 – 1

= 5

the level of significance  α = 0.05

Critical value = 11.07049775

( using Chi square table or excel)

Tables for test statistic are given  below

                             F_o                F_e                 Chi square

Americanos           115                 153                9.4379

Capp.                     88                  94.5             0.447

Espresso               69                  63                 0.5714

Lattes                    59                  49.5               1.823

Macchiatos           44                   45                 0.022

Other                    75                   45                  20

Total                    450                 450                 32.30

\(\texttt {Chi square}=\frac{\sum (F_o-F_e)}{F_e}\) = 32.30

P-value = 0.00000517

( using Chi square table or excel)

P-value < α = 0.05

So, we reject the null hypothesis

This is because their sufficient evidence to conclude that Drink preferences are changed at coffee shop.

Answer:

Step-by-step explanation:

The associative property lets you move parentheses in a sum or product. That is, it doesn't matter which sum or product you compute first.

The commutative property lets you swap the order of operands in a sum or product.

The identity property says the operation using the identity element gives the original value, unchanged.

Answer:

Step-by-step explanation:

This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

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Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

The triangle with sides 44, 73, and 86 is an obtuse triangle.

The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle is equal to the sum of the squares of the lengths of the other two sides, can be used to determine whether the triangle is right, acute, or obtuse.

In an acute triangle, the square of the hypotenuse length is less than the sum of the squares of the other two sides; in an obtuse triangle, the square of the hypotenuse length is greater than the sum of the squares of the other two sides.

Begin by calculating the square of each side:

\(44^2 = 1936\)

\(73^2 = 5329\)

\(86^2 = 7396\)

Let us now see if the triangle fulfils the Pythagorean Theorem:

1936 + 5329 = 7265

We know the triangle is not obtuse because 7265 is less than 7396.

1936 + 7396 = 9332

We know the triangle is not acute because 9332 is greater than 5329.

5329 + 7396 = 12725

We know the triangle is obtuse because 12725 is greater than 7265 but less than 9332.

As a result, the triangle with sides 44, 73, and 86 is obtuse.

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The boiling point of water is approximately 100 degrees Celsius or 212 degrees Fahrenheit at standard atmospheric pressure.

This temperature represents the point at which water transitions from a liquid state to a gaseous state, forming water vapor. It is a well-known and crucial property of water, widely used as a reference point in various scientific, industrial, and everyday applications.

The boiling point of water is influenced by atmospheric pressure, with lower pressures resulting in a lower boiling point and higher pressures leading to a higher boiling point. For instance, at higher altitudes where atmospheric pressure is lower, water boils at temperatures below 100 degrees Celsius.

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Answer:

To find the median marks, we need to arrange the marks in ascending order and find the middle value.

0-20: 42 students

21-30: 38 students

31-40: 120 students

41-50: 84 students

51-60: 48 students

61-70: 36 students

71-80: 32 students

Since there are a total of 450 students, the median will be the value at the 225th position if we arrange the marks in ascending order. The value at the 225th position will be the lower value of the interval that the 225th student falls in.

The students in the intervals 0-20, 21-30, and 31-40 account for 42+38+120 = 200 students, which means that the 25th student falls in the 41-50 interval. Therefore, the median marks are 41.5.

To find the percentage of failures, we need to count the number of students who scored below 35 marks and divide it by the total number of students, and multiply the result by 100 to express it as a percentage. The number of students who scored below 35 marks is 42+38 = 80. The percentage of failures is 80/450 * 100 = 17.78%.

Answer:

B) 1 8/27

Step-by-step explanation:

First, change all mixed fractions into improper fractions:

2 1/3 = 7/3

1 4/5 = 9/5

7/3 ÷ 9/5

Next, flip the second fraction, and change the division sign into multiplication:

7/3 x 5/9

Multiply across:

7/3 x 5/9 = 35/27

Change into a mixed fraction:

35/27 = 27/27 + 8/27

1 8/27 is your answer.

~

Answer:

a) 0.000016 = 0.0016% probability of selecting and finding that all three bags are overweight.

b) 0.729 = 72.9% probability of selecting and finding that all three bags are satisfactory

Step-by-step explanation:

The condition of the bags in the sample is independent of the other bags, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

a) What is the probability of selecting and finding that all three bags are overweight?

2.5% are overweight, which means that \(p = 0.025\)

3 bags means that \(n = 3\)

This probability is P(X = 3). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.025)^{3}.(0.975)^{0} = 0.000016\)

0.000016 = 0.0016% probability of selecting and finding that all three bags are overweight.

b) What is the probability of selecting and finding that all three bags are satisfactory?

90% are satisfactory, which means that \(p = 0.9\)

3 bags means that \(n = 3\)

This probability is P(X = 3). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.9)^{3}.(0.1)^{0} = 0.729\)

0.729 = 72.9% probability of selecting and finding that all three bags are satisfactory

Answer:

Let x be the width of the flag in feet. Then the length of the flag is x + 60 feet. The perimeter of the flag is the sum of the lengths of its four sides, which is:

2(x + x + 60) = 4x + 120 feet

Setting this equal to 480 feet, we have:

4x + 120 = 480

Solving for x, we get:

4x = 360

x = 90

Therefore, the width of the flag is 90 feet and the length is 150 feet.

Three situations to which this system of equations could be applied are:

A farmer wants to plant a rectangular field of flowers. He knows the perimeter of the field but needs to determine the length and width in order to calculate the area and decide how many flowers to buy.

A carpenter wants to build a rectangular frame for a painting. She knows the perimeter of the frame but needs to determine the length and width in order to calculate the amount of wood needed and the cost.

A city planner wants to design a rectangular park. She knows the perimeter of the park but needs to determine the length and width in order to calculate the area and decide how many trees and benches to place in the park.

Answer:

x = -7

Step-by-step explanation:

52 + 3x = -5x + 45 - 49

8x = -56

x = -7

Answer:

24$

Step-by-step explanation:

15%=0.15

160*0.15=24

Answer:

a puppy because it easy to take care of

Step-by-step explanation:

Answer: 70

Step-by-step explanation:

The values:

\(\bar p\)  = 0.547.

And  \(\bar q\) = 0.453.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

The values,

X₁ = 23,

X₂ = 29,

n₁ = 43,

And n₂ = 52.

Now, using the formula for mean,

\(\bar p\) = (X₁ + X₂) / (n₁ + n₂)

=(23 + 29) / (52 + 43)

= 0.547.

And \(\bar q\) = 1 -  \(\bar p\) = 1 - 0.547 = 0.453.

Therefore, all the required values are given above.

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Answer:

Where is the question?

Step-by-step explanation:

Answer: 4.26 x 10^2

Step-by-step explanation: you need to move the decimal over 2 spots because it needs to be a number from 1-9. So it would be 4.26. Then the exponent is positive 2 because you are moving the decimal to the left.

Answer: 4.26 x 10^2  

Bit by bit clarification: you have to move the decimal more than 2 spots since it should be a number from 1-9. So it would be 4.26. At that point the type is positive 2 since you are moving the decimal to one side.

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation: