Use substitution to solve the system of equations x= -3y-13 2x+2y=-6

D. Infinite intersection points

Divide both sides of the second equation by 2 to find that it is equal to y = 4 - x, which is the same as the first equation.

Since they are the same equation, they are always touching each other since they are the exact same line, which means they are always intersecting, and there are infinite intersection points.

Answer:

46°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

Cos = Adjacent/Hypotenuse

You are given the lengths of the hypotenuse of the triangle and the side adjacent to the angle you want to find. So, the cosine function describes the relationship:

cos(B) = AB/CB = (20 cm)/(29 cm)

B = arccos(20/29) ≈ 46.397°

B ≈ 46°

The student is looking for the value of an angle, m∠B, which requires solving an equation and rounding to the nearest integer. The provided information does not give a direct method or equation for calculating m∠B, thus an answer cannot be given confidently.

The student is asking to calculate the value of an angle, denoted as m∠B, to the nearest degree. This is a mathematics problem likely involving geometry or trigonometry.

In the information provided, different equations and scenarios for calculating angles and magnitudes are given, but they seem to be disconnected, and the specific question regarding m∠B isn't directly addressed by the provided equations and examples.

Without a direct relationship or equation including m∠B, or a diagram to reference, it is not possible to confidently provide the value of m∠B. However, the excerpts suggest that if we had an equation and needed to find an angle such as m∠B, we would solve the equation and then round the result to the nearest integer, as angles are typically given in integers when degrees of freedom are considered.

Answer: I believe it is 33 seats

Step-by-step explanation:

Answer:

516

Step-by-step explanation:

[tex]\vec r(t)=t^2\,\vec\imath+t^3\,\vec\jmath-2t\,\vec k[/tex]

[tex]\mathrm d\vec r=(2t\,\vec\imath+3t^2\,\vec\jmath-2\,\vec k)\,\mathrm dt[/tex]

[tex]\vec f(x,y,z)=(x+y^2)\,\vec\imath+xz\,\vec\jmath+(y+z)\,\vec k[/tex]

[tex]\vec f(x(t),y(t),z(t))=(t^2+t^6)\,\vec\imath-2t^3\,\vec\jmath+(t^3-2t)\,\vec k[/tex]

The line integral is

[tex]\displaystyle\int_C\vec f\cdot\mathrm d\vec r=\int_0^2\bigg((t^2+t^6)\,\vec\imath-2t^3\,\vec\jmath+(t^3-2t)\,\vec k\bigg)\cdot(2t\,\vec\imath+3t^2\,\vec\jmath-2\,\vec k)\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^2(2t^7-6t^5+4t)\,\mathrm dt=\boxed{8}[/tex]

Given:

[tex]\to \bold{\int_{c} \ F \cdot dx}[/tex]

Where

[tex]\to \bold{F(x,y,z)=(x+y^2)i+xzj+(y+z)K}[/tex] and C is given by the vector function [tex]\bold{r(t)}[/tex].

[tex]\to \bold{r(t)=t^2i+t^3j-2tk,\ \ 0\leq t\leq 2}\\\\\to \bold{dx=(2ti+3t^2j-2k)dt}\\\\[/tex]

therefore

[tex]\to \bold{x=t^2}\\\\ \to \bold{y=t^3}\\\\ \to \bold{z=2t}\\\\\to \bold{F(r)=(t^2+(t^3)^2)i+t^2(-2t)j+(t^3-2t)k}\\\\[/tex]

            [tex]\bold{=(t^2+t^6)i-2t^3j+(t^3-2t)k}\\\\[/tex]

[tex]\bold{\therefore}\\\\\bold{F(r).dx=((t^2+t^6)i-2t^3j+(t^3-2t)k).(2ti+3t^2j-2k)}\\\\[/tex]

             [tex]=\bold{((t^2+t^6)2t-2t^3(3t^2)+(t^3-2t)(-2)]dt}\\\\=\bold{(2t^3+2t^7-6t^5-2t^3+4t)dt}\\\\=\bold{(2t^7-6t^5+4t)dt}\\\\[/tex]

Calculating the line integral:

[tex]\bold{\int_{c}\ F .dx=\int^{2}_{t=0} (2t^7-6t^5+4t)dt}\\\\[/tex]

               [tex]=\bold{[\frac{t^8}{4}-t^6+2t^2]^{2}_{0}}\\\\=\bold{\frac{2^8}{4}-2^6+2(2)^2}\\\\=\bold{\frac{256}{4}-64+2(4)}\\\\=\bold{64-64+8}\\\\=\bold{8}[/tex]

Therefore the final answer "8".

Learn more:

line integral: brainly.com/question/16571684

Answer: 414.48

Step-by-step explanation:

r: the radius of the base

h: height

The volume of a cone is given by:

V = π ∙ r2 ∙ h / 3,

where π ∙ r2 is the base area of the cone.

π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

Answer:

V = 414.7 m3

Step-by-step explanation:

Thats your answer :))

Answer:

Step-by-step explanation:

Be the sides x[tex]x, x+6[/tex] you know [tex]x(x+6) = 112[/tex] or [tex]x^2 +6x -112 = 0[/tex][tex]x= -3 \pm \sqrt{9+112} = -3\pm 11[/tex] the solution is [tex]x=8, x=-14[/tex] The negative answer is to be discarded, your rectangle has sides 8 and [tex]8+6=14[/tex] miles

The length of the rectangle is 14 miles and the width of the rectangle is 8 miles.

For a rectangle with length and width L and W units, we get:

Area of the rectangle = (L × W) unit^2

Perimeter of the rectangle = 2(L + W) units

Let the width of the rectangle be represented by W, while the length is represented by L.

Given the width is 6 miles less than its length, therefore, the width can be written as,

W = (L - 6) miles

Now given the area of the rectangle is 112 sq. miles, therefore, the area of the rectangle can be written as,

Area of the rectangle = Length × Width

112 = L × W

112 = L × (L-6)

112 = L²-6L

L = 14, -8

Since the length, L can not be negative, the value of L is 14 miles, therefore, the width will be 8 miles.

Hence, the length of the rectangle is 14 miles and the width of the rectangle is 8 miles.

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1.Observation study

2.Survey

3.Experiment

4.Survey

Hope thiz help:)

In choosing between a survey, experiment, or observational study, consider the requirements of your study and the nature of the data you hope to collect. Surveys are good for widespread data, experiments allow control of variables, and observational studies are good for observing natural behavior.

The best way to gather information in research scenarios depends on the nature of the scenarios in question. However, here are brief descriptions for each method:

Depending on the scenario, choose the method that fits best with the data needed and the practical considerations of conducting the study.

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Answer:

D

Step-by-step explanation:

The given function builds on the parent graphy = x^2.

The answer is D. y=x^2

Check the picture below.

Answer:

see explanation

Step-by-step explanation:

There are 2 possible positions for n, that is

- 2 - 1.5 = - 3.5

OR

- 2 + 1.5 = - 0.5

Both are 1.5 units distance from - 2

The possible values of n are -0.5 and -3.5

Step-by-step explanation:

Analyze two cases

1) n-(-2)=1.5

Solve for n

n+2=1.5

n=1.5-2

n=-0.5

2) -2-n=1.5

n=-2-1.5

n=-3.5

Answer:

the total available area = (3x^2 + 4x + 1) - (2x^2 + 8x + 8) = x^2 - 4x - 7

Step-by-step explanation:

The question seems to ask available area and not how much wallpaper is required. Let's calculate the area of the rectangular window. Area of a rectangle = Length * Breath Area = (x + 2) * (x + 1) = x^2 + 3x + 2 The wall also has a built- in shelving unit that occupies an area of (x^2 + 5x + 6). So total area occupied by the rectangular wall and shelf is (x^2 + 3x + 2) + (x^2 + 5x + 6) = 2x^2 + 8x + 8. If the wall is to be covered with wallpaper

Sorry for the wait

Answer:

B

Step-by-step explanation:

The intercepted angle is given as "34x+4"

The arc is 196.

Any intercepted angle of an arc that falls in the opposite circumference, it will have a measure half that of the arc intercepted.

Hence,

34x+4 = (0.5)(196)

34x + 4 = 98

34x = 98 - 4

34x = 94

x = 94/34 = 2.76

Answer choice B is right.

Answer:

The length of the escalator ≈ 1088.8 ft ⇒ answer (b)

Step-by-step explanation:

* Lets explain the problem

- Consider the escalator and the vertical raise formed a right

 angle triangle

- The length of the escalator is the hypotenuse

- The vertical rise is on leg of the right triangle

- The angle of elevation is the angle between the hypotenuse

  and the horizontal

* Now lets solve the problem

∵ Angle of elevation = 10° 21' 36"

∵ Vertical distance = 195.8 feet

* The vertical is opposite to the angle of elevation

∴ sin angel of elevation= the vertical/the length of the escalator

∴ sin(10° 21' 36") = 195.8/the length of the escalator

- By using cross multiplication

∴ The length of the escalator = 195.8/sin(10° 21' 36") = 1088.8 feet

* The length of the escalator = 1088.8 ft

Answer:

its going to have to be option c

Step-by-step explanation:

because it shows all the listings of cars next to her

Answer:  D) sample: local listings and internet sites

                    population: all used passenger cars

Step-by-step explanation:

A sample is a subset of items from a larger population.

A population includes all of the elements from a set of data.

Cynthia wants to buy a used passenger car.

All available used cars is the POPULATION

Cynthia looks at local listings and on internet sites.

This is a subset of all available used cars so this is the SAMPLE

Furthermore, she may not find what she is looking for and may expand her subset to include used car lots, etc.

Answer:

There is no real number root

Step-by-step explanation:

There is no real number root because there is a negative number inside the root.

No real number root

ANSWER

See attachment.

EXPLANATION

The cosine function is symmetric with respect to the y-axis.

If the cosine function has an amplitude of 2 then, its range is

-2≤y≤2

If the period is 2 , then its must complete a full cycle on the interval, [-2,0],[0,2], [2,4], etc.

The graph that has all these features is shown in the attachment.

Answer:

  b = 10

Step-by-step explanation:

a) Solve by inspection. b=10 makes both fractions equal to 1.

Both the numerator and denominator of the fraction on the right are 2 greater than those of the fraction on the left. The fractions will be equal when numerator and denominator are equal.

__

b) Multiply by 60 and solve in the usual way.

  6b = 5(b+2)

  b = 10 . . . . . . . . . . subtract 5b

__

c) Expand the fraction on the right, subtract the variable term.

  b/10 = b/12 + 2/12

  b(1/10 - 1/12) = 1/6

  b/60 = 1/6 . . . . simplify

  b = 60/6 = 10 . . . . multiply by 60

_____

Comment on the question

There is no "y", so you cannot solve for y. This is another example of poor quality control (editing) of math curriculum materials. It is my sincere wish that you not have to put up with that. Math is tough enough without this added confusion.

Answer:

b=10

Step-by-step explanation:

Please mark me as brainliest if this answer is correct and nobody tops it.

So, 18.50/2 = 9.25, so you can just multiply 9.25 by 7

9.25 · 7 = 64.75.

So Sammy earned $64.75, hope she buys something nice for herself with it. :)

A circle, square and a line has a two fold symmetry.

A figure is said to be rotationally symmetric if when it is rotated along its axis remains the same. F

Given is to find the quotient when 6 is divided by 444.

If an object appears identical after a rotation of 180 degrees, that is twice in a 360 degrees rotation, then it is said to have a 2-fold rotation axis. A circle, square and a line has a two fold symmetry.

Therefore, a circle, square and a line has a two fold symmetry.

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The true annual interest rate for this loan is approximately 1.44 or 144%.

The Breakdown

To calculate the true annual interest rate, we can use the formula for calculating the interest rate on a loan:

True Annual Interest Rate = [(Monthly Payment Amount × Number of Payments) / Loan Amount - 1] × 12

Given the information provided:

Loan Amount = $3,000

Number of Payments = 36

Monthly Payment Amount = $93.33

Substituting these values into the formula:

True Annual Interest Rate = [(93.33 × 36) / 3000 - 1] × 12

Calculating this expression:

True Annual Interest Rate = [(3360 / 3000) - 1] × 12

True Annual Interest Rate = (1.12 - 1) × 12

True Annual Interest Rate = 0.12 × 12

True Annual Interest Rate = 1.44

Therefore, the true annual interest rate for this loan is 1.44 or 144%.

Answer:

360

Step-by-step explanation:

Jennifer earned a total of $360 by making 30 plaques in one week.

The subject of this question is Mathematics. Your question is how much Jennifer earned for making 30 plaques in one week if she's paid $12 each. To find out, you simply multiply the number of plaques (30) by how much she earns for each one ($12). So, 30 plaques * $12/plaque = $360. Therefore, Jennifer's gross income for the week is $360.

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Answer:

B

Step-by-step explanation:

This is easier to follow if you write it out the long way.

g(x) = (x + 3)/x

g(f(x)) = (f(x) + 3)/f(x)

g(x^2 - 7) = (x^2 + 7 + 3)/(x^2 + 7)

g(x^2 - 7) = (x^2 +10 ) / (x^2 + 7)

g(-5) = ( (-5)^2 + 10) / ( (-5)^2 + 7)

g(-5) = ( 25 + 10) / (25 + 7)

g(-5) = 35/32

Answer:

Median

Step-by-step explanation:

This set of data has an extreme outlier, which will throw off the mean. The median, on the other hand, does not change or changes minimally whether or not the outlier is there.

By default, the mean is always better, but if an outlier, such as this one, is too large, the median is better.

Answer:

The lateral area is [tex]4,608\pi\ in^{2}[/tex]  or  [tex]32\pi\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of a cylinder (pillar) is equal to

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

Remember that

1 ft=12 in

Find the lateral area in square inches

we have

[tex]r=8\ in[/tex]

[tex]h=24\ ft[/tex] ----> convert to inches

[tex]h=24*12=288\ in[/tex]

substitute the values

[tex]LA=2\pi (8)(288)[/tex]

[tex]LA=4,608\pi\ in^{2}[/tex]

Find the lateral area in square feet

we have

[tex]h=24\ ft[/tex]

[tex]r=8\ in[/tex] -----> convert to feet

[tex]r=8/12=(2/3)\ ft[/tex]

substitute the values

[tex]LA=2\pi (2/3)(24)[/tex]

[tex]LA=32\pi\ ft^{2}[/tex]

Answer:

158.9 mph E 12.7° S

Step-by-step explanation:

Since the components of the motion are perpendicular to each other then magnitude of the resultant can be found using the Pythagorean theorem:

|v| = √(155^2 +35^2) ≈ 158.9 . . . . mph

The angle can be found using the tangent relationship:

tan = opposite/adjacent

The angle south of east will be

angle = arctan(35/155) ≈ 12.7°

The velocity vector can be described by ...

158.9 mph E 12.7° S

_____

As a bearing, the vector might be described as either of ...

• 158.9 mph at 102.7°

• 158.9 mph S 77.3° E

Answer:

  Stock A and Stock B

Step-by-step explanation:

After 1 year, the value of Stock A is 58/50 = 1.16 times what it was, an increase of 16%.

After 1 year, the value of Stock B is 29/25 = 1.16 times what it was, an increase of 16%.

The bond has coupon value of $298.90 each year, about 5.02% of the amount invested. (However, the value of the bond at the end of 4 years is only $3500, so represents a net loss of about $1254.40 over that time period. We're not quite sure why Norvin purchased this bond at that price.)

Stock A and Stock B have the highest rate of return.

No there is no variability cause the answers will always be the same

this would be a non-stat question

Answer:

The correct option is option A

Step-by-step explanation:

We have the following expression:

sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)

We know that sqrt(a*b) = sqrt(a)sqrt(b)

Applying this, we have:

sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)

sqrt(x^3)[ sqrt(18) - sqrt(2)]

sqrt(x^3)[ 3sqrt(2)- sqrt(2)]

sqrt(x^3)[2sqrt(2)]

Then we now that:

sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)

The correct option is option A

Answer:

Part 1) Area of rectangle [tex]3,600\ ft^{2}[/tex]

Part 2) Area of semicircle [tex]1,413\ ft^{2}[/tex]

Par 3) Total area of grass [tex]2,187\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area of grass is equal to the area of rectangle minus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

[tex]A=45*80=3,600\ ft^{2}[/tex]

step 2

Find the area of semicircle

The area of semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=60/2=30\ ft[/tex] -----> the radius is half the diameter

substitute

[tex]A=\frac{1}{2}(3.14)(30)^{2}[/tex]

[tex]A=1,413\ ft^{2}[/tex]

step 3

Find the total area of grass

[tex]3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}[/tex]

Answer:

Last option

[tex]f(t)=sin(\pi(t -3)) + 4[/tex]

Step-by-step explanation:

The general sine function has the following form  

[tex]y = Asin(bt-\phi) + k[/tex]

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

[tex]\phi[/tex] phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

[tex]A =1[/tex]

[tex]\frac{2\pi}{b}=2[/tex]

[tex]b=\pi[/tex]

[tex]\phi=3[/tex]

[tex]k=4[/tex]

Then the function is:

[tex]f(t)=sin(\pi(t -3)) + 4[/tex]

The answer is last option