Round 31.24 to 1 decimal place

Round 5.275 to 2 decimal place

Round 0.56489 to 3 decimal place

If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Answer:

5

Step-by-step explanation: I think this because 4 - 6 is -2 and -2 + 8 is 6 - 1 is 5

Answer: Her energy level after turn one is -2. Her energy level after turn 2 is 5. She did not reach level 10, therefore she did not earn bonus points.

Step-by-step explanation:

Starting level: 4

Turn one: 4-6, so by the end of turn one she’s at level -2.

Turn two: -2 + 8 = 6, so by the end of turn two she reaches level 6.

Turn three: 6-1 = 5, so by the end of those three turns she’s at level 5.

Answer:

2×1=2

2×2=4

2×3=6

2×4=8

2×5=10

2×6=12 ==> Answer

Answer:

32 miles 2 gallons

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

Answer and explanation is in the picture.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line that passes through the point (3, 1) and (1, -3) is

y = 2x - 5.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c

(3, 1) = (a, b)

(1, -3) = (c, d)

Slope:

= (d - b) / (c - a)

= (-3 - 1) / (1 - 3)

= -4 / -2

= 2

m = 2

Now,

We can choose any point and set it as (x, y) and substitute it in the equation.

(3, 1) = (x, y)

y = mx + c

1 = 2 x 3 + c

1 = 6 + c

c = 1 - 6

c = -5

Now,

m = 2

c = -5

The equation of the line that passes through the point (3, 1) and (1, -3) is

y = 2x - 5.

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The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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After the fifth collision in CSMA/CD, the probability that a node chooses K=4 is 1/32. This is because the adapter chooses from a range of {0, 1, 2, …, 31} after the fifth collision, and the probability of choosing 4 out of this range is 1/32.

The result K=4 corresponds to a delay of 51.2 microseconds on a 10Mbps Ethernet.

This delay is calculated using the formula D = (K-1)*512/bitrate,

where D is the delay in microseconds and bitrate is the data rate of the Ethernet network.

So, for a 10Mbps Ethernet, the delay for K=4 would be (4-1)*512/10,000,000 = 51.2 microseconds.

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Answer:

the angle is 80° ,, for sure .

Answer:

Yes.

Step-by-step explanation:

Yes. They are normal

Answer:

First choice

-∞ < y< ∞

Step-by-step explanation:

In this function,we need to use graph in order to find out the range.

Graph is attached.

Answer:

\(d=N700\)

Step-by-step explanation:

From the question we are told that:

Sale price\(n=7000\)

Discount percentage \(dp=10 %\)

Generally the equation for discount d is mathematically given by

\(d=n*dp\)

\(d=7000*\frac{10}{100}\)

\(d=N700\)

Answer: the 2nd one maybe

Answer:

\((h – k)(3) = h3 - k3\)

first off, I'd like for the sake of clarification to indicate we're assuming there's an error in the process above and so hmmm what is it?

\(x^2-\cfrac{6}{5}x+\cfrac{1}{5}=0\implies x^2-\cfrac{6}{5}x+\stackrel{ \frac{1}{5}~? }{\boxed{\cfrac{9}{25}-\cfrac{9}{25}}}=0\implies x^2-\cfrac{6}{5}x+\cfrac{9}{25}=\cfrac{9}{25}\)

now, let's notice, somehow 9/25 came out of the blue, but the assumption being that we had 1/5, well, hell we'll split it in two pieces, +9/25 and -9/25 that way we can send one of them over and look like the equation on the right end, hmmm but is 9/5 - 9/5 really equals to 1/5?

\(\cfrac{9}{25}-\cfrac{9}{25}=0\ne \cfrac{1}{5}\)

now we can say, well, hmmm the 9/25's came from the zero, ok, cool, we can use them, but what the heck happened to the 1/5?  thus the error.

Answer:

Option (D)

Step-by-step explanation:

From the table attached,

Number of cubic feet water is passing through dam in 3 second = 4 cubic ft

Therefore, amount of water passes through dam in 1 seconds

= \(\frac{\text{Amount of water passing through dam}}{\text{Duration}}\)

= \(\frac{4}{3}\) cubic feet per seconds

Option (D) will be the correct option.

Answer:

Isosceles

Step-by-step explanation:

The triangle has two equal sides and two equal angles.  Isosceles

Angles are acute ( less than 90 degrees)

Since 1 quart is equal to 4 cups, then the total amount of liquid glue, in cups, is:

There are 24 empty glue bottles but only 12 cups of glue. Since each bottle can hold one cup, then 24 cups of glue would be needed to fill all the bottles.

Since 12 is less than 24, then, there is not enough glue to fill all the bottles.

Option D is correct, no because  (2√3, 2) is less than 4 units away from the origin

To determine if a point lies on a circle centered at the origin, we can use the distance formula.

The distance between the origin (0, 0) and the point (2√3, 2) is:

√[(2√3 - 0)² + (2 - 0)²] = √[12 + 4] = √16 = 4

Since the distance between the origin and the point (2√3, 2) is exactly 4 units, the point lies on the circle centered at the origin with a radius of 4 units.

Hence,  no because  (2√3, 2) is less than 4 units away from the origin, option D is correct

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Answer:

B. 393,660

Step-by-step explanation:

lemme get Brainliest please

Answer:

B. 393,660

Step-by-step explanation:

I plugged it into the symbolab calculator and attached the steps below! Hope this helps!

The drawings for the 3-sided, 4-sided and 5-sided polygons are attached as image file.

1. Triangle:

A triangle is a polygon with three sides and three angles. It is the simplest polygon and consists of three vertices connected by three line segments. Triangles can have different types based on their angles and side lengths, such as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), and scalene (all sides and angles are different).

2. Quadrilateral:

A quadrilateral is a polygon with four sides and four angles. It consists of four vertices connected by four line segments. Quadrilaterals can have various shapes, including rectangles, squares, parallelograms, trapezoids, and more. Each quadrilateral has its own unique properties and characteristics.

3. Pentagon:

A pentagon is a polygon with five sides and five angles. It is formed by connecting five vertices with five line segments. Pentagons can have different types, such as regular pentagons (all sides and angles are equal) and irregular pentagons (sides and angles are different). Pentagons often appear in geometry and architectural designs.

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The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

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Answer:

9^y

Step-by-step explanation:

the way u write nine to the yth power, if y is something meet me in the comments!!

hope this helps, brailiest plzz!

Answer:

\(9^{y}\)

Step-by-step explanation:

It literally means 9 to the power of whatever value y represents,...

Chow,...!

The marginal cost function of a company is given by [16/√x], where x is the number of units. The task is to find the total cost of the first 100 units  (of increasing production from x=0 to x=100) is .

The total cost of the first 100 units (of increasing production from x=0 to x=100) is calculated by the formula: Total Cost = Marginal Cost x Number of Units.

Given the marginal cost function is [16/√x], using the above formula the total cost of the first 100 units is 16/√0 + 16/√1 + 16/√2 + ... + 16/√99 + 16/√100 = 1600. Therefore, the total cost of the first 100 units is $1600.

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Answer:

105.....................

Answer:

153.9

Step-by-step explanation:

Diametre = 14, Radius = diametre/2 = 14/2 = 7

Area of circle = π*r^2,   π=3.14

= 3.14*7^2

=3.14*49

=153.9

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \(\dfrac{x}{27}=\dfrac{3}{18}\)

\(\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5\)

Hence, the he length of the other piece = 4.5 pounds.

The solution to 0.5^(x + 2) > 9 is x  > -5.170

The inequality expression is given as:

0.5^(x + 2) > 9

Take the logarithm of both sides of the inequality expression

log(0.5^(x + 2)) > log(9)

Rewrite the inequality expression as

(x + 2)log(0.5) > log(9)

Divide both sides by log(0.5)

x + 2 > -3.170

Subtract 2 from both sides

x  > -5.170

Hence, the solution to 0.5^(x + 2) > 9 is x  > -5.170

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