Is X and Y in direct proportion? If so, how?

Answer:

The system has infinity many solutions

Step-by-step explanation:

If it had no solutions there would be another like that does not go through it....if it was one solution it would have another like going through the other line....and since it has two lines that are on top of each other in the same point it's infinity solutions

Answer:

Step-by-step explanation:

Answer:

When we use a graphing calc, we should see that we get A as our best choice.

Step-by-step explanation:

Answer:

a . See attachment

b. because we will find the distance from the bottom of the ladder to the base of the building.

c. sin 60 = opposite side / hypotenuse

d.sin 60 = x / 10

e .  8.66 ft =x

f. see attachment

i. cos 60° = adjacent side / hypotenuse

Step-by-step explanation:

a . See attachment

b. because cos 60° = adjacent side / hypotenuse, the hypotenuse is equal to the length of the ladder (10), and the adjacent side that we will find is the distance from the bottom of the ladder to the base of the building. not the height that the ladder reaches .

c. sin 60 = opposite side / hypotenuse

Because we will find the opposite side which is the height that the ladder reaches.

d.sin 60 = x / 10

e .  

0.866025403 = x/10

10 (0.866025403) =x

8.66 ft =x

f. see attachment

i. cos 60° = adjacent side / hypotenuse

Because we will find the adjacent side which is the distance from the bottom of the ladder to the base of the building.

Answer:

730 trains would be needed  to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required

Step-by-step explanation:

Number of carriages in 1 train = 15

Number of seats in 1 carriage = 32

Number of seats in 15 carriages =[tex]32 \times 15 =480[/tex]

So, Number of seats in 1 train = 480

Number of trains needed  to seat 350,000 passengers=[tex]\frac{350000}{480}=730[/tex]

Number of carriage in 1 train = 15

Number of carriage in 730 trains = [tex]15 \times 730=10950[/tex]

Number of seats in 1 carriage = 32

Number of seats in 10950 carriage =[tex]32 \times 10950=350400[/tex]

Hence 730 trains would be needed  to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required

Answer:

Step-by-step explanation

Answer:

x=6

Step-by-step explanation:

Suppose x is 36÷6

x=36÷6

x=6

Answer:

36 / 6 = 6

36 = 6 * 6

36 = 36

Hope this somewhat helps!

Answer:

i hope it will help you...

Answer:

[tex]\approx[/tex] 57 gallons

Step-by-step explanation:

Given:

Silo needs to be painted.

Height of silo = 80 feet

Diameter of silo = 20 feet

One gallon of paint covers 100 sq ft

To find:

Gallons of Paint required to paint the outside of silo = ?

Solution:

We need to first calculate the lateral surface area(LSA) of this cylinder shaped silo.

[tex]LSA = 2\pi rh[/tex]

where r is the radius and

h is the height of cylinder.

[tex]r = \dfrac{Diameter}2\\\Rightarrow r = 10\ ft[/tex]

Putting the values in formula:

[tex]LSA = 2\times 3.14\times 10\times 80\\\Rightarrow LSA = 5024\ sq \ ft[/tex]

Total surface area of cylinder = LSA + 2 [tex]\times[/tex] Area of base

Total surface area of cylinder = LSA + 2 [tex]\times[/tex] [tex]\pi r^{2}[/tex]

TSA = [tex]5024 +2 \times 3.14 \times 10^2 = 5024 +628=5652\ sq \ ft[/tex]

100 sq ft requires number of gallons = 1

5652 sq ft requires number of gallons:

[tex]\dfrac{1}{100} \times 5652 \approx 57\ gallons[/tex]

Answer:

Correct answer is

[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]

Step-by-step explanation:

Let us rephrase the given statement mathematically.

We are given the fractions as:

[tex]\dfrac{a-3}{7}[/tex]

to be divided by:

[tex]\dfrac{3-a}{21}[/tex]

To find:

[tex]\dfrac{a-3}{7}\div\dfrac{3-a}{21}[/tex]

Now, let us have a look at the division rule in fractions:

[tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex]

is equivalent to

[tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]

In other words, we say that the second fraction [tex]\frac{c}{d}[/tex] is changed to [tex]\frac{d}{c}[/tex] and [tex]\div[/tex] is changed to [tex]\times.[/tex]

Now solving the given fraction by applying above rules:

[tex]\dfrac{a-3}{3}\div\dfrac{3-a}{21}[/tex]

[tex]\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{3-a}\\\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{-(a-3)}\\\Rightarrow \dfrac{1}{1}\times \dfrac{3}{-1}\\\Rightarrow -3[/tex]

So, correct answer is:

[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]

Answer:

d on edg

Step-by-step explanation:

taking test rn

Answer:

The correct answer will be "0.756596 m²".

Step-by-step explanation:

The given values are:

The radius of an umbrella,

r = 0.4 m

The height of an umbrella,

h = 0.45 m

As we know,

The lateral surface of an umbrella will be:

⇒  [tex]\pi r\sqrt{r^2+h^2}[/tex]

On substituting the values, we get

⇒  [tex]\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}[/tex]

⇒  [tex]0.756596 \ m^2[/tex]

So that the amount of fabric needed will be "0.756596 m²".

Answer:

A) f(x)

Step-by-step explanation:

f(x) has 4 x-intercepts, becoz it "cross" the x axis 4 times.

g(x) would have an infinite number of intercepts coz it is a cos function, but it gave a limit to the domain which is 0 to 2[tex]\pi[/tex], so it only has 2 x-intercepts.

h(x) is the degree of x^3, so in theory, it has 3 x-intercepts.

The function that has the most x-intercept is given by: Option A: f(x)

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.

The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 becuase at that value of x, the function f(x) lies on x-axis, where y is 0. Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.

Suppose that we've got a polynomial function as y = p(x),

where p(x) is of degree n (the highest power its variable pertains in any of its composing terms).

Then, the maximum number of roots it can possess for p(x) = c (c is a constant), or p(x) - c = 0 is n

So, the number of roots of p(x) - c = 0 cannot exceed the degree of p(x).

From the graph, we see that:

f(x) intersects x-axis at 4 places, so it has 4 x-intercepts.

g(x) intersects the x-axis at 2 places as in the graph, and therefore, it has 2 x-intercepts.

h(x) is a polynomial of degree 3. The maximum number of intercepts it can have is the maximum number of roots h(x) = 0 can have which is 3(the degree of h(x) ). So it cannot be bigger than 3.

Thus, the function that has the most x-intercept is given by: Option A: f(x)

Learn more about x-intercept here:

https://brainly.com/question/14764115

Answer:

The function for the outside temperature is represented by [tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex], where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

[tex]A = \frac{100\º-70\º}{2}[/tex]

[tex]A = 15\º[/tex]

Mean temperature

[tex]\bar T = \frac{70\º+100\º}{2}[/tex]

[tex]\bar T = 85\º[/tex]

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

[tex]T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right][/tex]

Where:

[tex]\bar T[/tex] - Mean temperature, measured in degrees.

[tex]A[/tex] - Amplitude, measured in degrees.

[tex]\tau[/tex] - Daily period, measured in hours.

[tex]t[/tex] - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If [tex]\bar T = 85\º[/tex], [tex]A = 15\º[/tex] and [tex]\tau = 24\,h[/tex], the resulting function for the outside temperature is:

[tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex]

Answer:

(a)Exponential

(b)[tex]P(t)=4.70(1.0136)^t[/tex]

(c)The price of milk next year will be: $4.76

(d)5 years

Step-by-step explanation:

The price of a gallon of milk has been rising about 1.36% per year since 2000.

(a)Since the price grows by a percentage (or constant factor) each year, an exponential function would be best to model the scenario.

(b)The exponential growth model is given as:

[tex]P(t)=P_0(1+r)^t$ where:\\P_0$=Initial Price\\r=Growth factor\\t=time (in years, for this case)[/tex]

The independent variable in the function is t. This represents the number of years since 2000.

(c)

[tex]I$nitial Price, P_0=\$4.70\\r=1.36\%=0.0136\\P(t)=4.70(1+0.0136)^t\\\\P(t)=4.70(1.0136)^t[/tex]

Therefore, the price of milk next year will be:

[tex]P(1)=4.70(1.0136)^1=\$4.76[/tex]

(d)We want to determine how long it will take for the price to top $5.

P(t)=$5

[tex]5=4.70(1.0136)^t\\$Divide both sides by 4.7$\\(1.0136)^t=\frac{5}{4.7} \\$Change to logarithm form\\t=Log_{1.0136}\frac{5}{4.7}\\t=4.58[/tex]

Therefore, in exactly 4.58 years, the milk price would be $5. Therefore, by the 5th year, the milk price would top $5.

Step-by-step explanation:

if each the bonus is shared equally each will get 420

if 40% is shared by managers each manager will get 560

if 7 sales persons share 60% each will get 360

therefore Peter salesperson will get 360

but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct

Answer:

The correct answer is A. x > -3/35

Step-by-step explanation:

-3/2(x - 1/3) > 1/5 - 5x

-3/2x + 1/2 > 1/5 - 5x

-15x + 5 > 2 - 50x

-15x + 50x + 5 > 2

-15x + 50x > 2 - 5

35x > 2 - 5

35x > -3

x > -3/35

Hope this helped! :)

Answer: A. x > -3/35

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

64 = 4x

64/4 = 4x/4

16 = x

Answer:

The 8ft tall pine tree will not affect the box plot here is why........

Outliers are important because they are numbers that are "outside" of the Box Plot's upper and lower fence, though they don't affect or change any other numbers in the Box Plot they are still important.

If you want to find your fences you will first take your IQR and multiply it by 1.5. I call this your "magic number".

Lower fence: Take your Q1 and subtract it from your magic number, that number your get is your lower fence.

Upper fence: Take your Q3 and add it to your magic number, that number you get is your upper fence.

Answer:

9 cm

Step-by-step explanation:

c^2=81

Take the square root of both sides.

The square root of c^2 is c.

The square root of 81 is 9.

c=9

Answer:

C = 9 centimeters

Step-by-step explanation:

First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 *  9 = 81. Thus the answer is 9 centimeters.

Answer:

C. (x+4) (x-8)

Step-by-step explanation:

Take the graph for example both x values are -4 & positive 8

Answer:

64

Step-by-step explanation:

Answer: $4512 was the amount she borrowed.

Step-by-step explanation:

SI = 1692

R = 15% = 0.15

T = 30 months = 2.5 years

SI = PRT

1692 = P x 0.15 x 2.5

1692 = 0.375P

P = 1692 / 0.375

P = 4512

Answer:

( x+1) (x+3) (x+4)

Answer:

60 .

Step-by-step explanation:

Normal pay for 4 hours = 10 * 4 = 40.

Overtime for 4 hours = 40 *  1 1/2

= 60.

Tim was paid 15 for his overtime.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Normal pay of Tim= 10

Overtime hours= 4

and, overtime pay = 1 1/2 of 10

So, the overtime pay

= 3/2 of 10

= 3/2 x 10

= 15

Hence, Tim was paid 15 for his overtime.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

Answer:

y = -x - 1

Step-by-step explanation:

hello,

this is a line, right?

So the equation should be something like

y = ax+b and we need to find a and b

we can see that the points (-1,0) and (0,-1) are in the line so we can write

0 = a*(-1) + b <=> b - a = 0 <=> a = b

-1 = a*0 + b <=> b = -1

so the equation is

y = -x - 1

hope this helps

Answer:

y = - x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 1)

m = [tex]\frac{-1-1}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - x - 1 ← equation of line

Answer:

D

Step-by-step explanation:

Given

[tex]R_{y-axis}[/tex] ￮ [tex]R_{y=x}[/tex] : (2, 3 )

Then the order of reflections is from right to left, that is

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

(2, 3 ) → (3, 2 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

(3, 2 ) → (- 3, 2 ) → D

Answer:

11

Step-by-step explanation:

3|−5| − 2|−2|

Absolute value means take the non-negative value

3 * 5 -2 * 2

15 - 4

11

Answer:

No there is a remainder of -512

Step-by-step explanation:

Divide (x+7) into (x^3 - 3x^2 + 2x - 8)

x^2-10x+72 R -512/(x+7)

According to the Factor theorem,  (x+7)  is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.

The theorem is as follows: A polynomial f(x) has a factor (x−p) if and only if f(p)=0.  

Consider, f(x) = x^3 − 3x^2 + 2x − 8

Here, the expression we have is (x + 7), so we have to find f(-7) in order to check if (x+7) is a factor of f(x) or not

Here,  p = −7  

Now, lets check

f(−7)=(−343)−3(49)−14−8  

f(−7)=−343−147−14−8  

f(−7)=−512, which is not equal to 0  .

So, According to the Factor theorem,

(x+7)  is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.

Learn more about remainder theorem;

https://brainly.com/question/13000199

#SPJ2

Answer:

Probability of blue or red = 3/10

Step-by-step explanation:

4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .

Total = 30

Probability of having a blue = 6/30

Probability of having a blue= 1/5

Probability of a red = 3/30

Probability of a red= 1/10

Probability of a blue or a red=

Probability of blue + probability of red

= 6/30 + 3/30

= 9/30

= 3/10

Answer:

2.Ellipse

Step-by-step explanation:

The given equation represents an ellipse.

Standard form of ellipse is given as:

[tex] \frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\

\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\[/tex]