The graph below compares life expectancy in years and the average number of cigarettes smoked per day .What type of trend line would best fit the data? O a horizontal line O a line with a positive slope O a line with a negative slope O no trend line

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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sin 0 = opposite side / hypotenuse

From the triangle:

opposite side = 3

adjacent side = 7

hypotenuse = ?

1.- Calculate the hypotenuse

h^2 = 7^2 + 3^2

h^2 = 49 + 9

h^2 = 58

h = squared root (58)

2.- Calculate the sin 0

sin = 3/squared root (58) =3squared root (58) / 58

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

\(c=\sqrt{\frac{2 \pi^5k^4}{15 \sigma h^3}}.\)

Step-by-step explanation:

\(if \ \sigma=\frac{2 \pi^5k^4}{15c^2h^3} , \ then\\\\c^2=\frac{2 \pi^5k^4}{15h^3 \sigma}.\)

finally,

\(c=\sqrt{\frac{2 \pi^5k^4}{15 \sigma h^3}} \ or \ c=\frac{\pi^2k^2}{h} \sqrt{\frac{2 \pi}{15h \sigma} } .\)

Answer:

nonlinear, as it isnt consistent may be wrong

Step-by-step explanation:

Answer:

It is a function, but it is nonlinear

Step-by-step explanation:

Every input is compared with exactly one output.

Answer:

hi I can't open the photo

Answer: Project A should be chosen as it has the highest NPV.

Step-by-step explanation:

Project A

Present value of inflows:

First find the present value of inflows 3 years from today. Bear in mind that the inflow is constant so this is an annuity:

= 3 million * Present value interest factor of annuity, 8%, 5 years

= 3 million * 3.9927

= RM11,978,100

Discount this value to the present:

= 11,978,100 / (1 + 8%)³

= RM9,508,602

Net Present value = Present value of inflows - Investment

= 9,508,601 - 7,000,000

= RM2,508,601

Project B:

Find present value of costs:

= 2,500,000 +  (2 million * Present value interest factor of annuity, 3 years, 8%)

= 2,500,000 + (2,000,000 * 2.5771)

= 2,500,000 + 5,154,200

= RM7,654,200

Net present value = (16,000,000 / (1 + 8%)⁶) - 7,654,200

= RM2,428,514

Project A should be chosen as it has the highest NPV.

Answer:

\(f(x)=4(x+6)^2-134\)

Step-by-step explanation:

We are required to write the function\(f(x) = 4x^2 + 48x + 10\) in vertex form.

First, bring the constant to the left-hand side.

\(f(x) -10= 4x^2 + 48x\)

Factorize the right hand side.

\(f(x) -10= 4(x^2 + 12x)\)

Take note of the factored term(4) and write it in the form below.

\(f(x) -10+4\Box= 4(x^2 + 12x+\Box)\)

\(\Box = (\frac{\text{Coefficient of x}}{2} )^2\\\\\text{Coefficient of x}=12\\\\\Box = (\frac{12}{2} )^2 =6^2=36\)

Substitute 36 for the boxes.

\(f(x) -10+4\boxed{36}= 4(x^2 + 12x+\boxed{36})\)

\(f(x) -10+144= 4(x^2 + 12x+6^2)\)

\(f(x) +134= 4(x+6)^2\\f(x)=4(x+6)^2-134\)

The function written in vertex form is \(f(x)=4(x+6)^2-134\)

Answer:

C

Step-by-step explanation:

I just finished the unit test on Edge. and got a 100% and I selected "c" as my answer.

Ben read at least 145 pages.

Ben read book , rounded to the nearest ten , 150 pages.

What is rounding off of a number?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Now,

We know that below the number 145 we cannot round it 150 for rounding of nearest ten.

Therefore, 145 is the smallest number which can be rounded (nearest ten) to 150.

Thus, he could read at least 145 pages.

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y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

Answer:

1.78 min

Step-by-step explanation:

so first you have to figure out the fastest runner

pepe 12 miles in 4.5 minutes

and paula ran 34 miles in 7.5 minutes

if you divide miles by minutes you get how many miles they ran in one minute

12/4.5=~2.67

34/7.5=~4.53

So you can see that paula is faster

if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles

they're both super humans though like woah

Answer: (a )$30648.54  (b)$882,346.73    (c)  $1,544,700.15

Step-by-step explanation:

Formula: \(A=Pe^{rt}\) , where P= principal , r=rate of interest, t= time

Given : P= $10,000, t = 112 years

(a) r = 1% = 0.01

\(A=(10000)e^{0.01\times112}\)

\(A=(10000)e^{1.12}=10000(3.06485420)\approx 30648.54\)

Hence, Amount = $30,648.54

(b) r = 4% = 0.04

\(A=(10000)e^{0.04\times112}\)

\(A=(10000)e^{4.48}=10000(88.2346726757)\approx 882346.73\)

Hence, Amount = $882,346.73

(c) r = 4.5% = 0.045

\(A=(10000)e^{0.045\times112}\)

\(A=(10000)e^{5.04}=10000(154.470015026)\approx 1544700.15\)

Hence, Amount = $1,544,700.15

Answer:

andrew

Step-by-step explanation:

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

(a) 0.0668

(b) $638.74

Step-by-step explanation:

Let X denote the tips earned by a waiter.

It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.

It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \(\mu_{S}=n\mu\\\)

And the standard deviation of the distribution of the sum of values of X is given by,  

\(\sigma_{S}=\sqrt{n}\sigma\)

As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.

The mean and standard deviation are:

\(\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67\)

(a)

Compute the probability that he will earn at least $600 as follows:

\(P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668\)

Thus, the probability that he will earn at least $600 is 0.0668.

(b)

Let x represents his earnings on the best 1%  of such weekends.

That is, P (X < x) = 0.99.

⇒ P (Z < z) = 0.99

The corresponding z-score is, 2.33.

Compute the value of x as follows:

\(z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74\)

Thus, on the best 1%  of such weekends the waiter earned $638.74.

Answer:

x = 300 feet

Step-by-step explanation:

In the given right triangle,

Length of the string of the kite = 324 feet

Angle between the string and the ground = 68°

By applying law of Sines in the given right triangle,

\(\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}\)

Now we substitute the values of angles and sides in the formula,

\(\frac{\text{Sin68}}{x}=\frac{\text{Sin90}}{324}\)

\(\frac{\text{Sin68}}{x}=\frac{1}{324}\)

x = 324 × Sin(68)°

x = 300.41 feet

x ≈ 300 feet

Therefore, measure of side x = 300 feet will be the answer.

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

3.5 miles

Step-by-step explanation:

Step one:

given data

Samuel runs around a 1-mile track in 10 minutes

Samuel's speed is

speed= distance/time

speed= 1/10= 0.1 miles per minute

Sophia runs around the same track in 10 minutes

Hence Sophia's speed is also = 0.1 miles per minute

Step two:

Given that the time is 35 minutes, and their speeds are 0.1 miles per minute, we can find the distance from

speed= distance/time

distance= speed*time

distance= 0.1*35

distance= 3.5 miles

Answer:

That is true but still remember that playing the knight at the start can be very useful.

Answer:

B

Step-by-step explanation:

B is the only one that doesnt share x-values

Answer:

10

Step-by-step explanation:

using HYPOTHENUS theorem

8^2 + 6^2 = x^2

64 + 36= 100

√100=10

Answer:

10

Step-by-step explanation:

pythagros theorem

8 time 8 is 64

and

6 time 6 is 36

add them up we have

100

square root of 100 is 10

so the answer is 10

ur. welcome

To solve the inequality 2x < 12, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides by 2:

2x < 12

x < 6

Therefore, the solution to the inequality is x < 6. This means that all values of x that are less than 6 satisfy the inequality. We can represent this graphically on a number line:

<=======()------6-------------->

The open circle () indicates that x cannot be equal to 6, but can be any value less than 6. The arrow indicates that the inequality is true for all values of x to the left of the open circle.

In summary, the solution to the inequality 2x < 12 is x < 6.

I'm 15 BTW

The value of x in the figure is 6

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal

The two opposite sides of the parallelogram that bear x are

2x-3 = 5x-21

Collecting similar terms we have

2x-5x = -21 +3

2x-5x = -21 +3

-3x = -18

Making x the subject of the formula

Hence x = 6

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Answer:

some ppl got summer school

Step-by-step explanation: