Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.

−81
−27
27
81

Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

Answer: To find the factor pairs for -240, we can use the following steps:

Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)

For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).

The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).

Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

Answer:

1.05

Step-by-step explanation:

it is 105 divided by 1000

Answer:

0.105 metres

Step-by-step explanation:

105 divided by 1000

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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Answer:

The answer is 6.25%

Step-by-step explanation:

So,

(61 ÷ 976) × 100%

0.0625 × 100% = 6.25%

Thus, 6.25% of potatoes are rotten.

Step-by-step explanation:

% of potatoes rotten = 61/976 × 100

=> 6100/976

=> 6.25%

Answer:

Step-by-step explanation:

-1 +2=1

2+2=4

5+1=6

Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

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Answer:

$1,206

Step-by-step explanation:

We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2

It is expressed as the ratio of the dimension of a model object and dimension of an actual object.

A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.

Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch

also given, 1 inch = 0.5 inch

   1 inch = 1/2 inch

we need to determine the length of model bird by multiplying the above factor.

now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch

scale factor = length of model bird/ length of actual bird = 47/16 /47/8

scale factor = 1/2

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Answer: 1250

Step-by-step explanation: 50 x 50 = 2,500

                 2,500 divided by 2 is 1250

Answer:

2000 workers

Step-by-step explanation:
All the workers: 100%
Women: 60%
Others: 40% = 800 workers
=> 1% of the workers: 800/40 = 20 workers
=> 100% = 20 x 100 = 2000 workers
(I can't think of another one)

Answer:

m=10

Step-by-step explanation:

m/5+9=11 subtract 9

m/5 = 2 multiply 5 by both sides

m = 10

Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:

5(y + 9) = 3

Next, we can distribute the 5 to obtain:

5y + 45 = 3

Finally, we can subtract 45 from both sides to solve for y:

5y = -42

y = -42/5

y = -8.4

Therefore, the equation that represents the given sentence is y = -8.4.

Step-by-step explanation:

Answer:7 7/8. pounds.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

for every 5 $20 notes is $100 70 notes is $1400 and the other 20 is $2000 which makes 3400

Dirk will make 70 pars or better.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.

Out of 90 holes, Dirk made par or better on 42 holes.

At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.

Then, Out of 150 holes, Dirk will make par or better on -

(42/90 x 150) holes

(42/90 x 150)

70

Therefore, Dirk will make 70 pars or better.

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8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+

The coordinates of Point D are (2.5, 8).

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

Given:

Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).

We have to find the coordinates of Point D.

Let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

We know that the diagonals of a parallelogram bisect each other.

So, O is the midpoint of AC as well as that of BD.

Using the midpoint formula,

Midpoint = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]

⇒  Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]

Now,

Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]

⇒

[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]

Hence, the coordinates of Point D are (2.5, 8).

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If we use 2 liters of OJ, you will need to change the recipe and use:

We know that a recipe calls for 6 liters of OJ, 3 liters of grape juice and 9.5 liters of ice cream.

If instead we use 2 liters of OJ, then the ratio of the recipe that we use is given by the quotient below:

2L/6L = 1/3

So we will just use 1/3 of each of the amounts that the recipe calls, we will se:

(1/3)*3 liters of grape juice = 1 liter of grape juice.

(1/3)*9.5 liters of water = 3.2 liters of water.

These are the amounts that you need to use.

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Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

In baseball, each time a player attempts to hit the ball, it is recorded.

The ratio of hits compared to total attempts is their batting average.

Each player on the team wants to have the highest batting average to help their team the most.

For the season so far,

Jana has hit the ball 7 times out of 10 attempts.

Tasha has hit the ball 10 times out of 16 attempts.

To find the ratio of batting average:

We must find the same number of attempts.

So,

Jana has ratio 7/10.

So, 56 /80 = 0.7

Tasha has ratio 10/16.

So, 50 / 80 = 0.625

Therefore, Jana has the highest batting average.

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The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.

Let s represent the cost of the shoes.

Now, equation is

8% of s=10

8/100 ×s=10

0.08s=10

s=10/0.08

s=$125

Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

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The binomials which correctly represent the factors of the given trinomial; x² + x - 30 as required in the task content are; ( x - 5 ) and ( x + 6 ).

As evident in the task content; the given trinomial whose binomial factors are to be determined is; x² + x - 30.

By factorisation; the given trinomial expression can be written as;

x² + 6x - 5x - 30

x ( x + 6 ) -5 ( x + 6 )

( x - 5 ) ( x + 6 )

On this note, the required binomials which are factors of the given trinomial expression are; ( x - 5 ) and ( x + 6 ).

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The constant of proportionality is 10 for the proportional relationship shown in the graph.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The proportional relationship is shown in the given graph.

As per the given graph, we take two points (1, 10) and (2, 20)

So, the constant of proportionality will be as:

⇒ (20 - 10)/(2-1)

⇒ 10/1

⇒ 10

Hence, the correct answer would be option (A).

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An example of limit in polynomial will be the polynomial function f(x) = x³ + 2x² - 5. As x approaches 2, the value of the function approaches 11. So, the limit of f(x) as x approaches 2 is 11.

A polynomial simply means an expression which is composed of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division

In mathematical notation, we can write it as: Here, lim x->2 (x³ + 2x² - 5)

= x³ + 2x² - 5

= 2³ + 2(2²) - 5

= 8 + 8 - 5

= 11

This means that as x gets arbitrarily close to 2, the values of the function gets arbitrarily close to 11.

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The heart pumps around 17280 pints of blood in a day.

To find out how many pints of blood your heart pumps in a day, we need to determine the total volume of blood that your heart pumps in one day.

We know that your heart pumps 1.5 gallons of blood per minute. To find out how much blood your heart pumps in one day, we need to multiply that amount by the number of minutes in a day.

1 day = 24 hours

1 hour = 60 minutes

So, the number of minutes in one day is 24 hours x 60 minutes = 1440 minutes

Now, we can use this information to find out how many gallons of blood your heart pumps in a day.

Gallons of blood pumped per day = 1.5 gallons/minute x 1440 minutes/day

= 2160 gallons

1 gallon = 8 pints

So the number of pints of blood that your heart pumps in a day = 2160 gallons × 8 pints/gallon = 17280 pints.

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your heart pumps 2000 gallons of blood around your body each day.

if your body pumps around 1.5 gallons of blood each minute then a day is 24 hours so yu do that x together which is 20 but as its hours you do it for 2000 and just incase yu need some more info

(1.5 imperial gallons) x 24 hours = 589.173508 m3 s

SORRY IF THIS DONT ALL MAKE SO MUCH SENSE

The expression A' represents the statement for all of the elements which are not in set A.

A set is a collection of well defined objects.

Given that A students wants to write an expression for all of the elements which are not in set A.

The elements within set A are denoted by A.

We have to find  all of the elements which are not in set A.

U represents the universal set and A is the given set.

A'=U-A

Hence, the expression A' represents the statement for all of the elements which are not in set A.

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Answer:

Let y be the expression for the minutes you do both activities.then

y=m+30 is the required expression

Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.