Can someone please tell me if my answer is correct for this one.i need to know if the floor is positive, negative, zero or undefined. I say it's undefined

that answer is B because first u have to solve for Z in 2x-3y+Z=19

Z will be Z=-19-2x+3y

Answer:

B. (-2,6,3)

Step-by-step explanation:

First we will cancel the z-variable in the first two equations.  We will do this by adding the second equation to the first:

[tex]\left \{ {{2x-3y+z=-19} \atop {+(5x+y-z=-7)}} \right. \\\\7x-2y=-26[/tex]

Next we cancel the z-variable in the bottom two equations.  We will do this by subtracting the bottom equation from the middle one:

[tex]\left \{ {{5x+y-z=-7} \atop {-(-x+6y-z=35)}} \right. \\\\6x-5y=-42[/tex]

We can now take these equations without z as a system:

[tex]\left \{ {{7x-2y=-26} \atop {6x-5y=-42}} \right.[/tex]

We will make the coefficients of y the same by multiplying the top equation by 5 and the bottom by 2:

[tex]\left \{ {{5(7x-2y=-26)} \atop {2(6x-5y=-42)}} \right. \\\\\left \{ {{35x-10y=-130} \atop {12x-10y=-84}} \right.[/tex]

Next we subtract the bottom equation from the top:

[tex]\left \{ {{35x-10y=-130} \atop {-(12x-10y=-84)}} \right. \\\\23x=-46[/tex]

Divide both sides by 23:

23x/23 = -46/23

x = -2

Substitute this into the first equation without z:

7(-2)-2y = -26

-14-2y = -26

Add 14 to each side:

-14-2y+14 = -26+14

-2y = -12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

Substitute both x and y into our first original equation:

2(-2)-3(6)+z = -19

-4-18+z = -19

-22+z = -19

Add 22 to each side:

-22+z+22 = -19+22

z = 3

Answer:

2x² +4x +11 +20/(x-2)

Step-by-step explanation:

The synthetic division is in the attachment. It shows the above quotient is the result of the division.

Answer:

Gil is not correct.    

Step-by-step explanation:

We have been given that Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%.

We will use simple interest formula to check whether Gil is right or not.

[tex]A=P*(1+r*t)[/tex], where

A= Final amount after t years.

P= Principal amount.

r= Interest rate in decimal form.

Let us substitute our given values in above formula to find the interest rate.

[tex]10280=8000*(1+r*6)[/tex]  

[tex]10280=8000+48000*r[/tex]

[tex]2280=48000*r[/tex]  

[tex]r=\frac{2280}{48000}[/tex]

[tex]r=0.0475[/tex]

Since r is in decimal form, so let us convert interest rate in percent by multiplying by 100.

[tex]0.0475*100=4.75[/tex]

Therefore, the original interest rate is 4.75% which is less than 5%, so Gil is not correct.  

Answer:

The answer is gill is incorrect he will pay 2280 interest, which corresponds to  an interest rate of 4.75

Step-by-step explanation:

Problem 1

Answer: choice D) 84% of the wage earners earn less than $14,000 each

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

The empirical rule states that 95% of the area under a normal curve is within 2 standard deviations (approximately), so 100-95 = 5% is found in the two tails combined, leaving 5/2 = 2.5% in each tail. Because the top 2.5% earns $18000 or more, this means 18000 is roughly 2 standard deviations above the mean, so z = 2

If z = 2 corresponds to with x = 18000, with mean mu = 10000, then the standard deviation sigma is...

z = (x-mu)/sigma

2 = (18000 - 10000)/sigma

2 = 8000/sigma

2sigma = 8000

sigma = 8000/2

sigma = 4000

So mu+sigma = 10000+4000 = 14000 is the cutoff mark for the earners 1 standard deviation above the mean.

Check out the attached image figue 1 for the diagram for the empirical rule. Add up the values that are to the left of z = 1, so 2.35+13.5+34+34 = 83.85 which rounds to 84

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

Problem 2

Answer: choice D) 2.5%

-----------

x = 250, mu = 190 and sigma = 30

z = (x-mu)/sigma

z = (250-190)/30

z = 60/30

z = 2

According to the emprical rule, roughly 95% of the distribution is within 2 standard deviations. So 100-95 = 5% is in the combined tails leaving 5/2 = 2.5% is in the upper tail.

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

Problem 3

Answer: Choice D) 4,4,4,5,5,6,7,7,8,8,8

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

Plot each of the values on a dot plot. See the attached image figure 2 for each dotplot. Notice how plot D is bimodal with two hill features, so this distribution is non-normal. Normal distributions only have one mode (one hill).

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If [tex]a\Rightarrow b[/tex] is true, then [tex]\neg a\Rightarrow b[/tex] is also true" holds, you can form the truth table:

[tex]\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}[/tex]

When the result of the column [tex]a\Rightarrow b[/tex] takes value 1 (true), the result of the column  [tex]\neg a\Rightarrow b[/tex] is not always 1, then the statement is false.

Answer:

B). −2√6/5

Step-by-step explanation:

tan theta = sin theta/ cos theta

Multiply each side by cos theta

tan theta * cos theta = sin theta

Divide each side by tan theta

cos theta = sin theta/ tan theta

We know that the sin (- theta) = - sin theta  since sin is and odd function

sin theta  = - (  sin (-theta))

Putting this into the above equation,

cos theta =  - (  sin (-theta)) / tan theta

cos theta = - 1/5 / (sqrt(6)/12)

Remember when dividing fractions, we use copy dot flip

cos theta =   -1/5  * 12/ sqrt(6)

cos theta = -12/ (5 sqrt(6))

We cannot leave a sqrt in the denominator, so multiply the top and bottom by sqrt(6)/sqrt(6)

cos theta = -12/ (5 sqrt(6))  * sqrt(6)/sqrt(6)

cos theta = -12 sqrt(6) / 5*6

Simplify the fraction.

cos theta = -2 sqrt(60/5

Given sin(−θ)=1/5, we know sin(θ)=−1/5, and tan(θ)=√6/12 is positive, indicating that cos(θ) must be positive in the fourth quadrant. Using the Pythagorean identity, we find that cos(θ)=2√6/5, which corresponds to option (D).

The question asks for the value of cos(θ) given sin(−θ) = 1/5 and tan(θ) = √6/12.

First, recognize that sin(−θ) = −sin(θ), which means that sin(θ) = −1/5. Then, use the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 to find cos(θ).

sin^2(θ) = (1/5)^2 = 1/25
cos^2(θ) = 1 − (1/25) = 24/25
cos(θ) = ±√(24/25)

Since tan(θ) = √6/12 is positive, and tangent is the ratio of sine to cosine, and we know sine is negative (sin(θ) = −1/5), then cosine must be positive for the tangent to be positive. So, cos(θ) is the positive root.

cos(θ) = √(24/25) = 2√6/5. This matches with option D).

Answer:

1. [tex]\dfrac{3}{8}[/tex]

2. 240 km

Step-by-step explanation:

Anna drives [tex]\dfrac{1}{8},[/tex] Irina drives [tex]\dfrac{3}{8},[/tex] Vlad drives [tex]\dfrac{1}{8},[/tex] then Avel drives

[tex]1-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8}{8}-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8-1-3-1}{8}=\dfrac{3}{8}.[/tex]

If the road trip involves 640 km of driving, then Avel drives

[tex]640\cdot \dfrac{3}{8}=80\cdot 3=240\ km.[/tex]

Answer: (13, 47)

The expression t = 4 means that 4 units of time have come off the clock (possibly 4 seconds). Plug this value into each equation given for x and y

x = 2*t + 5 = 2*4 + 5 = 8 + 5 = 13

y = 3*t^2 - 1 = 3*4^2 - 1 = 3*16 - 1 = 48 - 1 = 47

In short, if t = 4 then it leads to x = 13 and y = 47 at the same time. These x and y values pair up to get the final answer (13,47)

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

Here's an update:

If t = 2, then,

In short, if t = 2, then x = 9 and y = 11

The point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].

To find the point on the graph at time [tex]\(t = 4\)[/tex] given the parametric equations [tex]\(x = 2t + 5\)[/tex] and [tex]\(y = 3t^2 - 1\)[/tex], substitute [tex]\(t = 4\)[/tex] into both equations.

1. For [tex]\(x\)[/tex]:

[tex]x = 2t + 5[/tex]

[tex]x = 2(4) + 5[/tex]

[tex]x = 8 + 5[/tex]

[tex]x = 13[/tex]

So, at [tex]\(t = 4\), \(x = 13\)[/tex].

2. For [tex]\(y\)[/tex]:

[tex]y = 3t^2 - 1[/tex]

[tex]y = 3(4)^2 - 1[/tex]

[tex]y = 3(16) - 1[/tex]

[tex]y = 48 - 1[/tex]

[tex]y = 47[/tex]

So, at [tex]\(t = 4\), \(y = 47\)[/tex].

Therefore, the point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].

Answer:

0

Step-by-step explanation:

[tex]g(x) = 3x + 1 \\\ y = 3x + 1[/tex]

Changing x to y and y to x:

[tex]x = 3y + 1 \\\ 3y = x - 1 \\\ y = \frac{x - 1}{3} \\\ g^{-1}(x) = \frac{x - 1}{3} \\\ g^{- 1} (1) = \frac{1 - 1}{3} \\\ g^{- 1} (1) = 0[/tex]

I hope I helped you.

Answer:

0

Step-by-step explanation:

Hope this helps.

Answer:

180 grams

Step-by-step explanation:

Mitchell has to use more coffee than usual for two reasons: First, he's making a larger pot than usual (15(15left parenthesis, 15 cups rather than 10)10)10, right parenthesis. And second, he's using the Arabica coffee, which requires 20\%20%20, percent more coffee for the same strength.

2

Instead of brewing \blue{10}10start color blue, 10, end color blue cups, Mitchell wants to brew \red{15}15start color red, 15, end color red cups, which means he has to use \dfrac{\red{15}}{\blue{10}}=\purple{1.5}  

​  =1.5start fraction, start color red, 15, end color red, divided by, start color blue, 10, end color blue, end fraction, equals, start color purple, 1, point, 5, end color purple times more coffee.

3

As his friend said, Mitchell also has to use \pink{20\%}20%start color pink, 20, percent, end color pink more coffee than usual, so he'll have to multiply the amount of coffee by \green{1.2}1.2start color green, 1, point, 2, end color green, or \green{120\%}120%start color green, 120, percent, end color green.

4

The total amount of coffee he has to use is 100100100 grams \times×times \purple{1.5} \times \green{1.2} = 1801.5×1.2=180start color purple, 1, point, 5, end color purple, times, start color green, 1, point, 2, end color green, equals, 180 grams.

Answer:

The Answer is a Prime polynomial, it cannot be further factorized.

Step-by-step explanation:

Answer:

You didn't input the function, but the cosine of 90 degrees is zero.

Cosine values of zero also occur when an angle equals

270 degrees 450 degrees 630 degrees and 810 degrees.

Step-by-step explanation:

Answer:

That would be 0, 180, 360, 540, and 720.

Step-by-step explanation:

If the value of sine is 0. Add 180 five times and we get the five numbers for the answer.

Answer: Yes they do.

Step-by-step explanation:

This because the ratio 10:1 means that for every 10 students that ride the bus only one walks. So if you had 30 students riding he bus you would only have 3 students that walked. So no matter what you will have more kids riding the bus.

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.

2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore  5 < a ≤ 8

3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.

Answer:

The ladder from the base of the building is 5.18 ft (Approx)

Step-by-step explanation:

As given

A ladder that is 20 ft. Long is leaning against the side of a building.

If the angle formed between the ladder and the ground is 75.

Now using the trignometric property .

[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]

As shown in the figure.

[tex]\theta = 75^{\circ}[/tex]

Base = CB

Hypotenuse = AC = 20 ft.

Put in the trignometric identity .

[tex]cos75^{\circ} = \frac{CB}{AC}[/tex]

[tex]cos75^{\circ} = \frac{CB}{20}[/tex]

[tex]cos\ 75^{\circ} = 0.259[/tex]

Put in the above

[tex] 0.259= \frac{CB}{20}[/tex]

[tex]0.259 = \frac{CB}{20}[/tex]

CB = 0.259 × 20

CB = 5.18 ft (Approx)

Therefore the ladder from the base of the building is 5.18 ft (Approx) .

Answer:

Both are correct. See below.

Step-by-step explanation:

Hasan's expression 0.25d will find the amount of the discount in $$$ for a 25% discount. By writing d-0.25d he will also find the sale price by subtracting the original by the discount in $$$.

Bella's expression 0.75d finds the sale price for a 25% discount. If you receive 25% off then you pay 75%. Bella also wrote d-0.75d which gives the amount in dollars of the discount. By subtracting the sale price from the original, we find the deduction the sale gives.

Answer:

Step-by-step explanation:

To find the remainder when dividing the polynomial f(x) = x^10-8x^8-8x^3+12x^2-5x-5 by x^2-1, we can use synthetic division. Carrying out the synthetic division process, the remainder is -10x + 7.

To find the remainder when dividing the polynomial f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5 by x^2-1, we can use polynomial long division. However, since we want to avoid this method, we can use synthetic division instead.

After performing synthetic division, we find that the remainder is -10x + 7. Therefore, the remainder when dividing f(x) by x^2 - 1 is -10x + 7.

https://brainly.com/question/36507743

#SPJ12

Answer:

A

Step-by-step explanation:

Trust the spam

Answer:

mean = 77

Step-by-step explanation:

We have a confidence interval of (59, 95) with a confidence of  99.7 percent

99.7 is 6 standard deviations from the mean, 3 on each side of the mean

mean - 3 sigma = 59

mean + 3 sigma = 95

We can use elimination to eliminate sigma.  Add these equations together

mean - 3 sigma = 59

mean + 3 sigma = 95

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

2 * mean = 154

Divide each side by 2

2 * mean/2 = 154/2

mean = 77

Based on a sample where the 99.7% confidence interval for the mean of a population is (59,95), 77 is the mean

Answer:

$3.08

Step-by-step explanation:

Answer: 85 meters

Step-by-step explanation:

The maximum height is the y-value of the vertex.

h(t) = -4.9t² + 20t + 65

      a=-4.9   b=20  c=65

[tex]t=\dfrac{-b}{2a} = \dfrac{-(20)}{2(-4.9)} =\dfrac{-20}{-9.8}=2[/tex]

h(2) = -4.9(2)² + 20(2) + 65

      = -19.6 + 40 + 65

      = 85.4

Question

(98 x2) + (69 x52) =

4 + (34 x 19) + 987 =

Answer:

Step-by-step explanation:

(98 x2) + (69 x52) =

196 + 3588 =

3784

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

4 + (34 x 19) + 987 =

4 + 646 + 987 =

1637

Answer: <

Step-by-step explanation: The top triangle (1) has a smaller area than triangle 2.

Answer:

Angle 1 < Angle 2

Step-by-step explanation:

This is a short answer, but I promise that its 100% correct.

Hope it helps.

Answer: [tex]\bold{\dfrac{16}{33} = 48\%}[/tex]

Step-by-step explanation:

  Red  or  Green

[tex]=\dfrac{red}{total}+\dfrac{green}{total}[/tex]

[tex]=\dfrac{9}{33}+\dfrac{7}{33}[/tex]

[tex]=\dfrac{16}{33}[/tex]

≈ 48%

Answer: D

Step-by-step explanation:

The x-intercepts of the graph are: x = -2 , x = -1, and x = 3

-->                                                 x + 2 = 0, x + 1 = 0, and x - 3 = 0

-->                                                           (x + 2) (x + 1) (x - 3)

Answer:u got to multiply

Step-by-step explanation: