Which statements about the system are true? Select two options.
y=-x-4
3y - x = -7
O The system has one solution.
O The system consists of parallel lines.
O Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.

Answer:

franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are

also available. The planning department of Bun-and-Run Inc. reports that the distribution of

daily sales for restaurants follows the normal distribution and that the population standard

deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000. Find the 95%

confidence interval for the population mean.

Answer:

43.96ft

Step-by-step explanation:

In the hint, you are given the equation [tex]C = 2\pi r[/tex].

Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.

You are told the radius is 7, therefore, [tex]r[/tex] = 7.

Now we have these values, let's substitute them into the equation:

[tex]C = 2 * 3.14 *7[/tex]

For clarification, the stars mean multiplication.

So, the product of those values will give us our circumference, [tex]C[/tex].

In this case, you get an answer of 43.96ft.

The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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Answer:

  46

Step-by-step explanation:

The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.

__

The relation between the leg lengths (a, b) and the hypotenuse (c) is ...

  c² = a² +b²

Solving for b gives ...

  b = √(c² -a²)

In this problem, we have c=55 and a=30. Then the width of the TV is ...

  b = √(55² -30²) = √(3025 -900) = √2125

  b ≈ 46.098

The width of the TV is about 46.

The surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given, base of prism = 60 feet, height of the prism h₁= 150 feet, and height of the pyramid h₂ = 1/6 (150)

                    = 25 feet.

The surface area of the exterior of the building = lateral surface area of prism + pyramid.

                SA = ( 4ah₁ ) +(a√(a² + 4h₂²) )

                SA = ( 4(60)150 ) + ( 60(√60² + 4(25)² )

                      = ( 240* 150 ) + 60(√3600 +2500 )

                      = 36000 + 60(√6100)

                      = 36000 + 60(78.1024)

                      = 36000 + 4686.15

                      = 40686.15

                      ≈ 40700 feet².

Therefore, the surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².

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Answer:

The surface area of the exterior of the building is approximately 40700 feet

Answer:

Step-by-step explanation:

current total of hours work earnings (7hrs): $140

total earnings: $980 per week

49 hours work per week (no overtime)

immagine you're working another 4 hours for overtime payment everyday:
current total of hours work earnings (11hrs): $280 including 4 hours overtime ($120)

total working hours: 77 hours per week

total earnings: $1,960 per week

Therefore, the equation of the hyperbola with a given origin has vertices at (0, ±9) and foci at  (0, ±10) is [tex]\frac{x^{2} }{81}-\frac{y^{2} }{19} =1[/tex].

Given, that a hyperbola centred at the origin has vertices at (0, ±9)  and foci at  (0, ±10).

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

The formula for a hyperbola centred at the origin is [tex]\frac{(x-h)^{2} }{a^{2} } -\frac{(y-k)^{2} }{b^{2} } =1[/tex]

Where (h, k) is the center = (0, 0)

Distance from centre to vertices a = 9 ⇒ a² = 81

Distance from centre to vertices which is given from the foci c = 10

⇒ c² = 100

Using the Pythagorean formula, c²= a²+ b²

Substituting the values 100 = 81 + b²

So we get, b²= 100 - 81 = 19

Substituting the values in the standard form [tex]\frac{x^{2} }{81}-\frac{y^{2} }{19} =1[/tex].

Therefore, the equation of the hyperbola with a given origin has vertices at (0, ±9) and foci at  (0, ±10) is [tex]\frac{x^{2} }{81}-\frac{y^{2} }{19} =1[/tex].

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Answer:

1277

Step-by-step explanation:

350 * (1.04)^33 =

1276.93338385

algebracom

theo(12211)

Answer:

48π

Step-by-step explanation:

→ State the formula for the surface area of a a cylinder

2π × r × h + 2π × r²

→ Substitute in the numbers

2π × 3 × 5 + 2π × 3²

→ Simplify

48π

Answer:

29a² - 3a - 12

Step-by-step explanation:

Given expression:

(6a+2)(6a-5)-(7a-1)(a-2)

Solution:

Apply distributive property.

[tex] \rm=(6a)(6a)+(6a)(-5)+(2)(6a)+(2)(-5)-7a^2+15a-2[/tex]

[tex] \rm= 36a {}^{2} - 30a + 12a - 10 - 7a {}^{2} + 15a - 2[/tex]

Combine like terms:

[tex] \rm=(36a {}^{2} - 7a {}^{2} )+( - 30a+12a+15a)+( - 10 - 2)[/tex]

[tex] = \boxed{ \rm \: 29a {}^{2} - 3a - 12}[/tex]

Done!

Answer:

0.9668 USD

Step-by-step explanation:

1 USD=1.0343 AUD 1AUD=0.9668 USD.

The value of x, y and z will be 1, 5 and 2 respectively

An augmented matrix in linear algebra is a matrix created by joining the columns of two supplied matrices, often so that the same basic row operations may be applied to each of the given matrices individually.

Lets write the augmented matrix by writing the coefficients of all the variables:

3      -4    -5      -27              Row 1

5        2     -2      11               Row 2

5       -4      4      -7               Row 3

We need to get

1   0   0

0   1    0

0   0   1

then the values of x, y, and z will be in the last column.

The row operation (R1=R1/3) is used to get the identity matrix.

1      -4/3    -5/3      -9              Row 1

5        2        -2      11               Row 2

5       -4        4      -7               Row 3

Add row 2 to row 1 and multiply by 5 (R2=R2(5)R1).

1      -4/3      -5/3      -9              Row 1

0     26/3      19/3     56              Row 2

5       -4             4      -7               Row 3

Add row 3 to row 1 and multiply by 5 (R3=R3(5)R1).

1      -4/3      -5/3      -9              Row 1

0     26/3      19/3     56              Row 2

0      8/3       37/3    38               Row 3

Multiply row 2 by 326 (R2=(3/26)R2)

1      -4/3      -5/3        -9              Row 1

0     1       19/26    84/13              Row 2

0      8/3       37/3    38               Row 3

Add row 2 multiplied by 4/3 to row 1 (R1=R1+(4/3)R2)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0      8/3       37/3    38               Row 3

Add row 3 to row 2 and multiply the result by 8/3 (R3=R3(8/3)R2).

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0    0       135/13    270/13           Row 3

Multiply row 3 by 13/135 (R3=(13/135)R3)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0    0          1         2                    Row 3

Add row 3 multiplied by 9/13 to row 1 (R1=R1+(9/13)R3)

1      0       0            1                  Row 1

0     1       19/26    84/13              Row 2

0    0          1         2                    Row 3

Row 2 is reduced by row 3 multiplied by 19/26 (R2=R2(19/26)R3).

1      0       0            1                  Row 1

0     1          0          5                 Row 2

0    0          1         2                    Row 3

Hence the value of x, y and z will be 1, 5 and 2 respectively

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Answer:

20ish

Step-by-step explanation:

I would need more info abt the question to answer it more exactly

Answer:

Im pretty sure is is 20 or something like that

Step-by-step explanation:

Answer:

[tex]20a^3b^3[/tex]

Step-by-step explanation:

Binomial Series

[tex](a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n[/tex]

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

[tex]\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3[/tex]

[tex]\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3[/tex]

[tex]\implies \dfrac{6!}{3!3!}a^{3}b^3[/tex]

[tex]\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3[/tex]

[tex]\implies \left(\dfrac{120}{6}\right)a^{3}b^3[/tex]

[tex]\implies 20a^3b^3[/tex]

Answer:  90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

The rule for either rotation is [tex](x,y) \to (y,-x)[/tex]

The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).

The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).

Answer:

Approximately $594.38

Step-by-step explanation:

Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years

Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38

[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

Answer :- The result is 5cm

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf \red {c {}^{2} = a {}^{2} + b {}^{2}} }[/tex]

[tex] \: \: \: \: \: \: \boxed{ \bf \green{c {}^{2} = (3cm) {}^{2} + (4cm) {}^{2}}}[/tex]

[tex] \: \: \: \: \: \: \: \: \boxed{ \bf \gray{c {}^{2} = 9cm {}^{2} + 16cm {}^{2} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \blue {c {}^{2} = 25cm {}^{2} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \green{\not{\sqrt {c {}^{ \not{2} }}} = \sqrt{25cm {}^{2} }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \red{c = 5cm}}[/tex]

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: hypotenuse = 5 \:\:cm [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \textsf{Pythagoras Theorem } [/tex]

[tex]\qquad \tt \rightarrow \: h {}^{2} = p {}^{2} + b {}^{2} [/tex]

[ h = hypotenuse, p = perpendicular and b = base ]

[tex]\qquad \tt \rightarrow \: {h}^{2} = {3}^{2} + {4}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: {h}^{2} = 9 + 16[/tex]

[tex]\qquad \tt \rightarrow \: h {}^{2} = 25[/tex]

[tex]\qquad \tt \rightarrow \: h = \sqrt{25} [/tex]

[tex]\qquad \tt \rightarrow \: h = 5 \: \: cm[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The correct answer is A.

Step - by - step answer:

Mario will travel a distance equal to 1 circumference of the wheel for each complete revolution of the wheel.

Circumference of Mario's wheel, C = πD, where D is the diameter of the circle.

Hence, C = 26π inches

Speed = Distance / Time

Distance for 200 revolutions in ft = 26π x 200 x 1/12

Time in sec = 60

So, speed =  (26π x 200)/(12 x 60)

= 65π/9

=22.69 is the average speed.

P.s: Answer is copied from https://www.myactguide.com/math/mario-was-riding-a-bicycle-with-wheels-26-inches-in-diameter

Answer:

The costco basmati rice

Step-by-step explanation:

Under the label it is given that the bag is 18.14 kg

When converted to lbs= 18.14*2.2~39.91

39.91lbs>10lbs, so it has more quantity of rice: Costco Basmati

Answer:

The Costco bag is a better deal as each pound is $0.65 cheaper

Step-by-step explanation:

Let make the weight of each bag in a common unit

18.14kg = about 40 pounds (formula: multiply the mass value by 2.205)

Now find how much it cost per pound for each bag,

Costco: 49.99 / 40 = $1.25 per pound

Bulkmarket: 18.99 / 10 = $1.90 per pound

1.25 < 1.90

The monthly payment for purchasing the home will be $457.85.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]

In order to purchase a home, a family borrows $110,000 at 2.9% for 30 years.

We have

P = $110,000

r = 0.029 / 12 = 0.0024

n = 30 × 12 = 360

Then the monthly payment will be

[tex]\rm MP = 110,000\times \dfrac{0.0024(1+0.0024)^{360}}{(1+0.0024)^{360} - 1}\\\\[/tex]

On further solving, we have

MP = 110000 × 0.0024 × 1.723

MP = $ 457.85

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Answer:

I believe d would be the answer.

Step-by-step explanation:

Answer:

From what my calculations said its 20%

Answer:

Polynomial, 6. Constant. The highest value of the exponent in the expression is known as the Degree of Polynomial. The degree of a polynomial is the largest exponent. It is also known as an order of the polynomial. While finding the degree of the polynomial, the polynomial powers of the variables should be either in ascending or descending order.

Step-by-step explanation:

A term is defined as a part of an equation separated by a +/- operation. Because there is a + operation separating two terms (-x^6 and 7x^5), the expression is a binomial, meaning the expression has two terms.

The highest exponent or degree, present in the expression is to the power of 6. Therefore, the expression is in the sixth degree.

Taken together, the expression is a sixth-degree binomial.

Answer:

0.5

Step-by-step explanation:

well you can just take one of the sides and in this case I'll use AC which originally is 8 and then in AC prime it's 4. You can simply divide the new length by the original length which is 4/8 or 0.5. So if you multiply any of the original side lengths by 0.5 you'll get the new side length.

Answer:

1/2

Step-by-step explanation:

edge 23

Answer: 7

Step-by-step explanation:

As tangents drawn from a common external point to a circle are congruent,

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

x intercept =

The vertex is at 3, 4

The vertex is upside down.

Solution

(x - 1) and (x - 5) produce the two roots.

There must be 1 minus somewhere so that the quadratic goes upside down.

Answer

y = - (x -1)(x - 5)