Find all possible values of the expression 1/a.

Answer:

1 duck egg

19 chicken eggs

80 goose eggs

Step-by-step explanation:

Given that:

Goose eggs must be bought in multiples of 20

20 goose eggs = 1 cent

1 chicken egg = 5 cents

1 duck egg = 1 cent

Total amount to spend = 100 cents

Total number of eggs to purchase = 100

In other to ensure that 100 cents is spent and 100 eggs is purchased :

Using logical analysis :

1 cent is spent on duck egg, so 1 duck egg is purchased

Goose eggs (sold in multiples of 20) for 1 cent each ; 4 cents is spent on (20 * 4) = 80 goose eggs

100 - (4 + 1) = 100 - 5 = 95 cents is spent on chicken eggs ; 95 / cost per chicken egg = 95 / 5 = 19 chicken eggs

Hence,

1 duck egg = 1 cent

(20 *4) goose eggs = 80 eggs ; 4 * 1 = 4 cents

19 chicken eggs = 19 * 5cent = 95 cents

(1 + 80 + 19)eggs = (1 + 4 + 95)cents

100eggs = 100centa

Answer:

x = 83°

Step-by-step explanation:

the 3 angles above the straight line sum to 180° , that is

41° + blank  + 56° = 180°

97° + blank = 180° ( subtract 97° from both sides )

blank = 83°

x and blank are vertically opposite angles and are congruent , then

x = 83°

Answer: 83 degrees

Step-by-step explanation:

Vertical angles have the same value and all of the angles add up to 360 degrees. Therefore we can create the equation:

2x+56+56+41+41 = 360

2x = 360-194

2x = 166

  x = 83

Angle x is 83 degrees

Note that Im just a student if I did this wrong pls correct me

Answer:

The average height difference between randomly selected girls and boys is 5.5 inches. The standard deviation of the difference in height is about 4.18808 inches.

Step-by-step explanation:

Just subtract the girls' average from the boys' average to find the average difference between any girl and boy.

Calculate the variance from the given standard deviations (square the SD). Add the variances and find the square root of that sum. (SD = square root of Var).

The standard deviation is only able to be calculated when the two variables are independent.

The variances are added and not subtracted because finding a different average doesn't mean that the data that is being observed also has a different deviation (also there isn't really a situation where you would subtract the Var).

Answer:

x = 12

Step-by-step explanation:

Let y = (1/2)x

y^2 + 8^2 = 10^2

y^2 + 64 = 100

y^2 = 36

y = 6

x = 2y = 12

Answer: C x = 12

Answer:

30.5

Step-by-step explanation:

For the 18° angle, 29 is the adjacent leg.

cos 18° = 29/x

x cos 18° = 29

x = 29/cos 18°

x = 30.5

The Arrangement of the given integers from largest (top) to smallest (bottom), will be: 95, 87, 65, 56, -21, -90.

Integers is one that is made up of whole numbers, comprising both positive and negative values, along with zero. There are no fractional or decimal components in integers. Integers refer to complete numbers that comprise positive and negative values, along with zero.

To arrange integers from largest to smallest, one can look at the numbers, compare and place in descending order.  A good examples of integers are -3, -2, -1, 0, 1, 2, 3, etc.

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Answer:

The sail is 3 meters tall.

Step-by-step explanation:

3.75 x 2 = 7.5

7.5 / 2.5 = 3

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

the number which has no factors is known as prime number

Answer: numbers that have only 1 and itself as factors.

Step-by-step explanation:

Answer:

Parralel lines have equal slopes. Perpendicular lines have inverse opposite slopes. For exampl 2 and -1/2 are perpendicular.

Parralel is your answer

Step-by-step explanation:

Yes, the quadratic function f(x) and the linear function g(x) will intersect. The x-coordinate of the point of intersection could be positive, negative or zero, depending on the specific functions.

From the data given, it's not possible to determine the x-coordinate of the point of intersection.

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Linear functions are usually written as y = mx + b and graphed as straight lines.

Begin with the y-intercept or b value, then use the slope to identify a second point on the graph. Quadratic functions are graphed as curved parabolas and have the formula y = ax2 + bx + c.

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Presence of an extraneous variable would most likely distort the relationship between the independent and dependent variables, producing biased results.

The presence of an extraneous variable is the most likely factor to distort the relationship between independent and dependent variables, resulting in biased results. An extraneous variable is an unintended variable that can have an effect on the outcome of an experiment. This can create a spurious relationship between the independent and dependent variables, leading to incorrect conclusions. To avoid this, it's important to control or eliminate extraneous variables in the experiment. Proper use of random assignment, manipulation of independent variables and use of between-group design can help minimize the impact of extraneous variables in the study.

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Complete question:

Which factor would most likely distort the relationship between the independent and dependent variables, producing biased results.

-Use of random assignment

-Manipulation of the independent variables

-Use of between-group design

-Presence of an extraneous variable

Answer:

a

Step-by-step explanation:

Answer:

y - 5 = 1.5x

Step-by-step explanation:

First to find the equation we have to find the slope:

15/10 = 1.5 is the slope ( 56.3 degrees )

Then find the correct equation:

y - 5 = 1.5x

There can be others like:

y = 1.5x + 5 etc.

Answer:

To find the probability that on two consecutive mornings the person will miss the bus at least one morning, we can use the complement rule. The complement of missing the bus is catching the bus. Therefore, the probability of missing the bus on both mornings is (0.4) x (0.4) = 0.16. The probability of not missing the bus on both mornings is (1 - 0.4) x (1 - 0.4) = 0.36. To find the probability of missing the bus at least one morning, we can subtract the probability of not missing the bus on both mornings from 1: P(missing bus at least once) = 1 - P(not missing bus on both mornings) P(missing bus at least once) = 1 - 0.36 P(missing bus at least once) =

Answer:

No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant

Step-by-step explanation:

See above

Answer:

  30.8 million

Step-by-step explanation:

You want the "y-intercept" of the graph of a population that is predicted to be 30.8 million in 2010 and increase at 1 per year until 2030.

The term "y-intercept" refers to the point on a graph where the curve crosses the y-axis. The x-value at that point is zero. For graphs plotted with x = time, the y-intercept is the "initial value," the value when time is considered to be zero.

In the situation described, we presume that the domain of interest is years between 2010 and 2030, and that x=0 corresponds to the year 2010. That means the "initial value", or y-intercept, will be the population in 2010.

The value of the y-intercept is 30.8 million.

__

Additional comment

We don't know the units associated with the increase of "1 per year." In this scenario, that could be 1 person, 1 million persons, or 1% of the current population. For the purpose of identifying the y-intercept, it doesn't matter. If any calculation of population is to be made, the problem statement needs further elaboration.

Answer:

-108

Step-by-step explanation:

(-2)²(-3)³​

When a number has an exponent, it means that the number is being multiplied to itself. For example, in (-2)², it means (-2) multiplied by itself twice since the exponent is 2. And for (-3)³​, it means (-3) multiplied by itself 3 times since the exponent is 3.

= (-2)(-2)(-3)(-3)(-3)

Multiply. Remember that two negative numbers multiplied together make a positive number, and a positive and a negative number multiplied together make a negative.

= (4)(-3)(-3)(-3)

= (-12)(-3)(-3)

= (36)(-3)

= -108

Therefore, the answer is -108.

I hope this helps!

Answer:

x=5

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

See Below.

Step-by-step explanation:

We are given:

\(i^{4n+2}\)

Using exponent properties:

\(=i^{4n}\cdot i^2\)

Rewriting:

\(=(i^4)^n\cdot i^2\)

Since i⁴ = 1 and i² = -1:

\(=(1)^n\cdot -1\)

1 to any power is still 1:

\(=1\cdot -1 = -1\)

Answer:

Step-by-step explanation:

credits to numerade

Answer: Point A ,Point E , Point B, Point D  

Step-by-step explanation:

In the given figure we have two planes named as S and T that are join by  a line .

There is one line on each of them .

On plane S points are B and C.

On plane T points are D, and E.

On the intersection of planes, we have point A.

Now from the given options, the four points are:

Point A ,Point E , Point B, Point D

Answer:

2 over 8

Step-by-step explanation:

Answer: The rise of the equation is 14 and the run of the equation is 13.

Step-by-step explanation:

The rise in this equation is 14. The 6 and the 8 is the y-intercept. Adding those gives us 14. (Same applies with 6/8.

Answer:

The answer is 2

Step-by-step explanation:

Y2-Y1/X2-X1

4-2/2-1

4-2 ( 2 )

2-1 ( 1 )

2/1 ( 2 )

Answer:

Complete the amount of each ingredient that is needed to make just 2 portions.

Recipe: Serves 2

160 g oats

0.8 l milk

40 g sugar

Step-by-step explanation: