What table represents a function?

Answer:

1:4

Step-by-step explanation:

There is 7+8+5 = 20 animals total    rabbits are 5

5:20     is the same as 1:4

Answer: k-34

Step-by-step explanation:

k is the front of the expression because it’s what he started with in his situation

to spend money you use - for subtraction

bc its an expression i’m assuming that’s it lol

Your monthly allowance and your friend's monthly allowance is $45 and $36 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 81

= 45

So, your friend's monthly allowance = 81-45 = 36

Therefore, your monthly allowance and your friend's monthly allowance is $45 and $436 respectively.

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The volume of the oblique cylinder is  1,538. 6 cubic units

It is important to note that the formula for determining the volume of an oblique cylinder is expressed as;

V = πr²h

Where;

Now, let's substitute the values into the formula

Volume, v = 3. 14 ×(7)² × 10

find the square of the value

Volume, v = 3. 14 × 49 × 10

Multiply the values

Volume, v = 1,538. 6 cubic units

Hence, the volume is 1,538. 6 cubic units

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Answer: 2010.6 units^3

Step-by-step explanation:

volume=πr2

=π multiply 8^2 multiply 10

=π times 64 times 10

=2010.619298

therefore 2010.6 units^3 is the answer

The correct options regarding the distributions are given as follows:

A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.

B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.

D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.

The mean of a distribution is given by the sum of all observations divided by the number of observations.

For the Super Bright light builds, the mean is given as follows:

Ms = 20 x 1500/20 = 1,500 hours.

For the Pretty Bright lights, the minimum mean is given as follows:

Mp = (16 + 19 x 1900)/20 = 1,805.8 hours

This mean is greater than 1,5000 hours, hence option A is correct.

The interquartile range (IQR) of a distribution is given by the difference between the third quartile and the first quartile of a distribution.

For each distribution, the IQR is given as follows:

The delighful bright distribution has a constant increase of 50 in the duration of each bulb, hence the distribution is symmetric around the mean and option c is incorrect.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean.

Since the Super Bright measures are all equal, their standard deviation has the lowest possible value, and option D is correct.

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cross multiply

Answer:

9th power of 10

Step-by-step explanation:

To find the power of 10 in scientific notation. keep moving the decimal point to the left until you have only one digit to the left of the decimal point. Count the number of places you have moved the decimal point to the left and that is the exponent of 10 in scientific notation

5,708,100,000 does not have a decimal point but you can imagine a d.p at the end of the number

To get only one digit to the left of the d.p, you have to move it 9 places to the left until you get 5.7081

Therefore in scientific notation it is 5.7081 x 10⁹

The power is 9

The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases

A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.

The linear regression equation is presented as follows;

y = a + b•x

Where;

[tex] \displaystyle{ b = \frac{ \sum (x - \bar x) \times (y - \bar y)}{ (x - \bar x)^{2} } }[/tex]

[tex] \displaystyle{ a = \frac{ \sum (y ) + b \times \sum (x)}{ n } }[/tex]

[tex] \displaystyle{ \bar x}[/tex] =(0+1+2+3)/4 = 1.5

[tex] \displaystyle{ \bar y}[/tex] =(994+946+928+880)/4 = 937

[tex] \displaystyle{ \sum x}[/tex] =(0+1+2+3) = 6

[tex] \displaystyle{ \sum y}[/tex] =(994+946+928+880) = 3748

n = 4

Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;

y = 991 - 36•x

Which gives;

b = -36

a = 991

From the given parameters, we have;

x = The number of years since 2003

y = The number of newly reported crime cases

Required;

The number of projected new cases in 2011

Solution;

In 2011, x = 2011 - 2003 = 8

Which gives;

y = 991 - 36×8 = 703

The number of newly reported crime cases in 2011 is 703

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Next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by

D.  put the compass on point B and complete the same steps that she did for point A.

As given in the question,

To draw the perpendicular bisector of given line segment AB

Required steps:

Therefore, next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by :

D.  put the compass on point B and complete the same steps that she did for point A.

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x^3 - 10 = -2
(my solution first then ill arrange) :

First, we add 10 to each side :
x^3 = 8
Now, we take the cube root of both side :
[tex]\sqrt[3]{8} = x = > x = 2[/tex]
And, we get a rational solution.

So, the correct arrangement is g,d,c

Answer:

The minimum value of the function is 4.

Step-by-step explanation:

The minimum value of the function is 4.

There is no number of x that when the absolute value of (x-3) can be negative.  For x = 3, the value is 0 and f(x) becomes 4 when the 4 is added to 0.

The minimum value of the function is 4.

Not true.  If x is > 3, then f(x) will be greater than 4.

The range is all real numbers.

Not true,  f(x) can never be less than 4, which occurs when x = 3

The axis of symmetry is at x = -3.

Not true.  See attached graph.  It is at x = 3.

After performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

So, in seconds the car would take to travel 3.6 miles:

Then, calculate as follows to get in how many seconds the car will travel 3.6 miles:

Therefore, after performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

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The function rule for renting the tent for n nights is t(n) = 30 + 5n.

The amount of money I have to pay if I rent the tent for 8 nights is $ 70.

Given that:-

Non-refundable fee charged by tents r us to reserve the tent = $ 30

Additional fee charged per night by tents r us = $ 5

We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.

We know that,

Function rule for renting the tent for n nights = Non-refundable fee + charge per night

Hence, we can write,

t(n) = 30 + 5n

Using the formula, putting n = 8, we get

t(8) = 30 + 5*8 = 30 +40 = $ 70.

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Answer:

61 care packages

Step-by-step explanation:

240 food items = 8 care packages

240/8 = 30

30 food items = 1 care package

240 x 2 = 480

480/8 = 60

480 food items = 60 care packages

510 - 480 = 30

30 food items = 1 care package

60 + 1 = 61

61 care packages

Answer:

1235

Step-by-step explanation:

hope

Answer:

There is a possibility that all three planes will intersect each other but not at a certain point but on the line. This can happen and the best way for its identification is that if the rank of the coefficient matrix, as well as the augmented matrix, is equal to two.

The average velocity in the first two seconds after the object is thrown; 0.

It follows from the task content that the average velocity in the first two seconds is to be determined.

Given; h(t) = -16t² + 32t +50

Hence, the average velocity can be determined as the ratio of the change in displacement between two points and the change in time.

Hence, the change in displacement for the first two seconds can be determined from the position function given as;

h(2) = -16(2)² + 32(2) + 50 = 50.

h(0) = -16(0)² + 32(0) + 50 = 50.

Hence, the average velocity is given as; (h2 - h1)/(t2 - t1).

Average velocity = (50 - 50)/(2 -0)

Average velocity = 0/2

Average velocity = 0.

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Answer: 2/3

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of numerator (6): 1, 2, 3, 6

Factors of Denominator (9): 1, 3, 9

Steps to Calculate:

1. Find the GCF

2. Divide numerator and denominator by GCF

6/3 = 2

9/3 = 3

Therefore, the lowest term would be 2/3

The numbers 14.37x14.37 rounded by the nearest mile is 207 miles.

It should be noted that rounding of numbers simply means making the numbers more precise to a certain place values.

In this case, 14.37 × 14.37 will be illustrated as:

= 14.37 × 14.37

= 206.4969

= 207

This gives 207 miles.

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Roland needs a 32/5 part sheet of fabric.

Given that,

Roland needs 8 sheets of fabric that are each 4/5 yard long.

We have to determine the length of the sheet of fabric required.

Complete the equation.

According to the question,

To complete the equation following all the steps given below.

Roland needs 8 sheets of fabric that are each 4/5 yard long.

Then,

(a/b)(c/d)

(8/1) (4/5)

32/5

Hence, Roland needs a 32/5 part sheet.

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Answer:

(0, 8 ) , (3, 9 ) , (7, 7 )

Step-by-step explanation:

under the translation < - 2, 6 >

subtract 2 from the original x- coordinate

add 6 to the original y- coordinate

then

L (2, 2 ) → L' (2 - 2, 2 + 6 ) → L' (0, 8 )

M (5, 3 ) → M' (5 - 2, 3 + 6 ) → M' (3, 9 )

N (9, 1 ) → N' (9 - 2, 1 + 6 ) → N' (7, 7 )

Answer:

They have equal slopes.

Step-by-step explanation:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.

Answer: 834, 834.19, 834.2, 834.29

Step-by-step explanation:

Other options would be correct if the decimals were not placed where they were.

The values of x and z is 61/38 and 57.47 respectively.

The three angles of a triangle is 14x + 35, z and 10x + 49

It is given that 14x + 35 is congruent to Z

The other angle is (10x+49)

In any trinagle the summation of all three angles of that triangle is 180 degree

here the summation of all three angles that is

14x + 35, z and 10x + 49 is 180 degree

(14x + 35) + (14x + 35) + 10x + 49 = 180    (angle z is same as angle 14x + 35)

14x + 35 + 14x + 35 + 10x + 49 = 180

38x + 119 = 180

38x = 61

x = 61/38

z = 14x + 35

z = 14(61/38) + 35

z = 57.47

Therefore the values of x and z is 61/38 and 57.47 respectively.

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Answer:

4/3 inches per hour

Step-by-step explanation:

take the number of inches and divide by the time to find the rate

4 inches / 3 hours

1.333333 inches per hour

4/3 inches per hour

Answer:4

Step-by-step explanation: because you only have 9 cups of chocolate chips in total and the recipe calls for 2 per times you make the recipe, so if you add the amount of times you can make the recipe, you have one cup left over, and 4 times 2 equals 8.

Answer: B

Step-by-step explanation:

To buy thea's share, Joe would need $ 533,333.33.

After buying thea's portion, Joe will own 41.6%.

Given, joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively.

Total ratio is = 1+4+7 = 12

hence joe = 1/12

thea = 4/12

taylor = 7/12

therefore share of each person:

1/12 × 1,600,000 = 133,333.33 -- Joe's share

4/12 × 1,600,000 = 533,333.33 -- thea's share

7/12 × 1,600,000 = 933,333.33 -- taylors share

total = 1,599,999.99 rounds to 1,600,000.00 or 1.6 mil

to buy thea's share, Joe would need $ 533,333.33.

after buying thea's portion, Joe will own :

(1/12 + 4/12) = 5/12 = 0.416 = 41.6%

Joe would require $533,333.33 to purchase Thea's portion.

Joe will hold 41.6% after purchasing Thea's share.

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