490 as a product of its prime factors

Answer:

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

\(D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278\)

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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THats all i could come up with nothin mor nun less

Same Sides

When the sides are the same then the triangles are congruent. because they all have exactly the same sides. because the two triangles do not have exactly the same sides.

Answer:

A clockwise rotation of 90 and a reflection across the x-axis maps...........     (The first one)

Step-by-step explanation:

I am pretty sure is the right answer, I only did a little of this a couple years ago but I am sorry if is not right.

Answer:

d=56

Step-by-step explanation:

The current population of Algeria is 38 million

From the question, we have the following parameters that can be used in our computation:

P = 38(1 + r)^t

In the initial year, we have

t = 0

Substitute the known values in the above equation, so, we have the following representation

P = 38(1 + r)^0

Evaluate

P = 38

Hence, the population is 38 million

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Answer: 5 people

Step-by-step explanation: I was the killer... lol

The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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Answer:

Step-by-step explanation:

208

Answer:

l dont know l am not studying it sorry

Answer:

hey what was the answer?

Step-by-step explanation:

I need help im going to failllll!!!!!!

For a large sample size (greater than 30), distribution is normal.

An insurance company claims that in the population of homeowners, the mean loss and standard deviation from fire is

μ = $250

o = $5000

The distribution of loss is strongly right skewed.

a). Since for a simple random sample of size n= 15 drawn from  the population of homeowners.

Since the given sample size is small. Therefore for small sample size less the 30 the distribution of

follow t- distribution.

Since t distribution has more variance than normal distribution.

Also t- distribution is symmetric as normal distribution at t=0.

For small sample size sampling distribution is t -distribution.

b). Now if the simple random sample of size n = 10000 drawn from the population of homeowners.

Thus for the large sample size and given mean and standard deviation sampling distribution of x follow normal distribution. Also we know that normal distribution have a bell-shaped curve which is symmetric to z=0.

For a large sample size (greater than 30), distribution is normal.

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As shown in the graph 35 yards is the maximum height of the football during the kick.

Graphs are an essential computing tool in mathematics. Both the nodes and the edges of a graph are referred to as graph elements. Graphs can be "directed" or "undirected," with only one direction in which nodes can traverse each other (either direction may be traversed from node to node).

A graph is an illustration of linked values in a multidimensional space, which is distinct from a chart. Graphs are helpful for examining the different relationships between specific data points.

The algorithm that is used to search a graph looks for the shortest route between two nodes. Finding the most optimised path is done by using an algorithm that considers the weight of each path on a graph.

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Full question:

Lloyd kicked a football into the air. The graph below shows the path of the football.

What was the maximum height of the football

during the kick?

A. 3 yards

B. 6 yards

C. 30 yards

D. 35 yards

Answer:0.628571428571- or 63% and in fraction form it would be 5/8

Step-by-step explanation:

Answer: 22/35 (Result in decimals: 0.62)

Step-by-step explanation:

13/15 - 5/21

= 13 x 7/15 x 7 - 5 x 5/21 x 5

= 91/105 - 25/105

= 91 - 25/105

= 66/105

= 66 divided by 3 / 105 divided by 3

= 22/35

Step-by-step explanation:

100 ÷ 10⁷ = 10² ÷ 10⁷ = \(10^{-5}\) = 1/100.000

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

y = -3x-5

Step-by-step explanation:

Answer:

the answer is 16.63 inches

Answer: Hi! The answer would be 16.63 inches.

If you want steps, dm me! <3 Good luck!!

The probability she pulls out a purple piece of candy would be 0.22.

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 Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer: a=101 b=79 c=83 d=97

Answer: green

Step-by-step explanation:

=========================================================

Explanation:

Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.

Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.

We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.

Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle

(angleABF) + (angleFBD) + (angleDBC) = 180

(63) + (63) + (x) = 180

x+126 = 180

x = 180-126

x = 54

Angle DBC is 54 degrees.

-----------------------

The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.

B+C+D = 180

54 + 85 + D = 180

139 + D = 180

D = 180-139

D = 41

Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.

Therefore, angle E is 41 degrees.

The diagram is below showing all of the angles we found.

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

Answer:

That is the answer bro. Hope this helps!!!!

Answer:

The first one is -4 because pretend you had 5 green toy bears and 1 blue toy bears and you bring one of the bears and they fell down the mountain and then all you have is 4,4 means a negative so you have a -4,the second one is 0 and just do the same but don't use green toy bears because green toy bears stand for negative and blue toy bears stand for positive.I hope this helped.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we have given that

Amount that Mike has = $12

Amount he spends each day = $2

Let the number of days be 'x'.

Let the amount remaining at the end be 'y'.

So, According to question, it becomes,

Hence, our required expression would be

Answer:

12.036549522

Step-by-step explanation:

Answer:

\( \sqrt{377} \)

Step-by-step explanation:

this is a right angle triangle so you're going to use Pythagoras formula

\(21 {}^{2} = x {}^{2} + 8 {}^{2} \)

\(x {}^{2} = 21 {}^{2} - {8}^{2} \)

\(x {}^{2} = 377\)

\(x = \sqrt{377} \)

hope it helps :)

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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