Prove the following:

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

the slopes are different, and the y-intercepts are also different

Step-by-step explanation:

We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b

Let's rewrite each equation:

✔️5x + 2y = 2

Subtract 5x from each side

2y = -5x + 2

Divide both sides by 2

y = -5x/2 + 2/2

y = -⁵/2(x) + 1

The slope (m) = -⁵/2

y-intercept (b) = 1

✔️3x - 3y = 18

Subtract 3x from each side

-3y = -3x + 18

Divide both sides by -3

y = -3x/-3 + 18/-3

y = x - 6

Slope (m) = 1

y-intercept (b) = -6

✅Therefore, the slopes are different and the y-intercepts are also different

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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hmm let's do that with synthetic division, Check the picture below.

Answer: Choice D

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

Explanation:

The angles 3,4,5,6 are all considered interior angles because they are inside or between the parallel lines.

The remaining angles 1,2,7,8 are exterior angles as they outside the parallel lines. You can think of angles 3,4,5,6 being in the river or a road, while the other angles are on the sidewalk or the shoreline.

Alternating angles are ones that are on either side of the transversal cut.

Combining the two ideas leads to alternate exterior angles being outside the parallel lines and on either side of the transversal. This applies to the following pairs:

This is why choice D is the answer.

Answer:

D.

Step-by-step explanation:

0 - 84 / 6

= -14 ft / hour.

Answer: 84 divided by 6= 14ft

Step-by-step explanation:

Use the general formula for decay substance

\(\\ \rm\Rrightarrow N=N_o(1-r)^t\)

For our equation r=62%=0.62

So

function becomes

\(\\ \rm\Rrightarrow N=650(1-0.62)^t\)

\(\\ \rm\Rrightarrow N=650(0.38)^t\)

Change for a year

\(\\ \rm\Rrightarrow N=650(0.38)\)

\(\\ \rm\Rrightarrow N=247g\)

Amount decayed=650-247=403g

Daily decay

Percentage decay

\(\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100\)

\(\\ \rm\Rrightarrow 0.169\)

\(\\ \rm\Rrightarrow 16.9\%\)

Answer:

-2

Step-by-step explanation:

-2 is two less than 0. if you add 2 to this, you get 0. if you take away 0 from 0, it is still 0. if you take away two from 0, you get -2. so the answer is -2

what's up? it would be D, 180 counterclockwise

a clock consists of 60 minutes, and it is a circle. so 60 minutes would be a full 360 degrees while 30 minutes would be 180 degrees. if it is running fast, in order to set it BACK you'd be going counterclockwise. forward would be clockwise

Answer:

D: 180° Counterclockwise rotation

Step-by-step explanation:

A clock can be thought of as a circle made out of 60 slices of pie, each slice representing one minute. If her clock was running 30 minutes FAST that means it was at the direct opposite side of the clock, because the clock is made of 60 slices, and 30 slices would be half the pie. There are 360° in a circle, and since there is 60 slices, each slice represents 360°/60°= 6°. 30 x 6°= 180°. The rotation would be COUNTER clock wise because the clock is AHEAD, and needs to go back in time; thus going counter to the natural rotation of a clock. 180° counterclockwise.

The correct expression is  \($(150 \cdot 1.15)^7$\) (Choice A).

The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).

To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.

If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.

Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.

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Answer:

This question overall depends on a continuously changing factor.

Step-by-step explanation:

There are many houses in this world that have an area of less than 100 \(m^2\), while many others have up to 700, 800, or even 1000 \(m^2\) of land. Your question is impossible to calculate because of the massive amount of houses in this world. If you want a good estimate, say around 0.9 to 1.8 billion.

Answer:

its 4

Step-by-step explanation:

I just did it on Khan

Answer:

$13,493.54

Step-by-step explanation:

We are gonna use the provided formula: A = P(1 + r/m)^mt

A = Final amount (?)

P = Starting amount (10,000)

r = rate (0.03)

m = times applied (12 since it is compounded monthly)

t = years (10)

A = 10,000(1 + 0.03/12)^12·10

I would suggest using a calculator, but let's try to get a little far with this

A = 10,000(1 + 0.0025)^12·10

A = 10,000(1.0025)^120

A = 13,493.535471908333

Answer: The one that starts with (-4,10)

Step-by-step explanation:

Linear means that the numbers are going up at a constant rate. It means, that the y will go up corrosponding x.

1) Linear

X goes up 2 per 4 y

2)  Linear

X goes up 1 per 3y

3)  Linear

X goes up 2 per 4y

4) Not Linear

X goes up 2 per Unequal growth y.

You can tell because it goes up by +5 until the last where it goes up +7

Answer:

Huh? Is this like a real question?

The x-coordinate of the point is only one piece of information needed to calculate cos 0.The radius of the circle can be determined with the Pythagorean Theorem. In this case, the radius = √(1² + 3²) = √10.

a. To draw the angle B, first draw a circle and mark the center point. Then, draw a radius from the center point to the point (-1, 3), and label the angle B. The radius of the circle can be determined with the Pythagorean Theorem. In this case, the radius = √(1² + 3²) = √10.

b. To find the exact value of cos 0, use the equation cos 0 = x/r, where x is the x-coordinate of the point and r is the radius of the circle. In this case, cos 0 = -1/√10. To find the exact value of csc 0, use the equation csc 0 = r/y, where y is the y-coordinate of the point and r is the radius of the circle. In this case, csc 0 = √10/3. Both cos 0 and csc 0 can be expressed in reduced radical form as cos 0 = -1/√10 and csc 0 = √10/3.

c. Cos 0 does not just equal the x-coordinate of the point because cos 0 is calculated using the radius of the circle, which is not the same as the x-coordinate of the point. The x-coordinate of the point is only one piece of information needed to calculate cos 0.

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Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\( \frac{p}{h} \)

3.27=\( \frac{yz}{xy} \)

3.27×[xy]=yz

xw+wy=\( \frac{yz}{3.27} \)

wy=\( \frac{yz}{3.27} \)-80...........(1)

again

In right angled triangle WYZ

Tan 80=\( \frac{yz}{wy} \)

5.67×wy=yz

wy=\( \frac{yz}{5.67} \)

yz=5.67×wy............................................(2)

Equating equation 1&2

\( \frac{yz}{5.67} \)=\( \frac{yz}{3.27} \)-80

\( \frac{yz}{3.27} \)-\( \frac{yz}{5.67} \)=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\( \frac{1483.272}{2.4} \)

yz=618.03

:.y=618.03unit.the length of ZY to the nearest 100th is 618.

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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A: She used 4 stickers for one card

B: She can make 15 cards if she has 60 stickers.

C: For 100 cards, she needs 400 stickers

D: She can make 6 cards with 24 stickers

E: To make 17 cards, she needs 68 stickers.

Also something cool, it simplifies to 1/4 (All of them) which is cool

I hope this helps you. :)

Answer:

a. She used 4 stickers for one card.

b. She can make 15 cards if she has 60 stickers.

c. For 100 cards, she needs 400 stickers.

d. She can make 6 cards with 24 stickers

e. To make 17 cards, she needs 68 stickers.

Step-by-step explanation:

Answer:

Choice C. \((f-g)(x)=-x^2+17x+7\)

Step-by-step explanation:

Recall that \(f-g\) is defined by

\((f-g)(x)=f(x)-g(x)\)

Therefore we compute

\((f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7\)

Answer:

Step-by-step explanation:

Its 4.51

The length of the new segment is 40mm

A scale factor is defined as the ratio between the scale of a given original object and a new object.

For example, if a triangle of area 50mm² is dilated into 100mm², the scale factor is calculated as:

100/50 = 2

Scale factor = new dimension/ old dimension

The old dimension is 48mm

Scale factor = 5/6

5/6 = x/ 48

48 × 5 = 6x

240 = 6x

divide both side by 6

x = 240/6

x = 40mm

Therefore the length of the new segment is 40mm

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Answer:

=−15x+27

Step-by-step explanation:

OK LET ME EXPLAIN :3

First what I would do is -3 x -9 which would be a 27 (Negative x Negative = Positve)

Then I would do 27 x 5 which is 135

Answer: 135

There ya go hope this helped!!

Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris.

Given that,

There are 4 children's. The names of the children's are Philip, Annie, Paul and Chris.

Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie.

We have to find which represents the order of the children by age, from oldest to youngest.

We know that,

Lets us take the ages if the children's as a,b,c,d of Philip, Annie, Paul and Chris.

Philip is twice as old as Annie.

That means a = 2b

Paul is 4 years older than Phillip and

That mean c =4+a

Chris is 2 years younger than Annie.

That means d=b-2

So,

If we take the age of Philips as 20

Then Annie is 10, Paul is 24 and Chris is 8.

Therefore, Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris .

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Answer:

3.34

Step-by-step explanation:

625 is 5^4

Using the log rule \(log_b(x^a)=alog_b(x)\),

log_b(5^4) = 4*log_b(5)

4*0.835 = 3.34

sinθ = t/o

cosθ = m/o

tanθ = t/m

cscθ = o/t

secθ = o/m

cotθ = m/t

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D