If the price of gas was on average $3.20 per gallon, and this was $1.43 cheaper than a year before, what is the percent of decrease in price? (Round to the nearest percent.)​

Answer:

3 heartbeats per sec.

Step-by-step explanation:

Number of heartbeats / Total time will give the rate or number of heartbeats per sec.

Answer:

1.12

Step-by-step explanation:

Since the whole price is 13.44$ and the whole number of whole pairs is 12 you can get the answer by dividing them so it will be 13.44÷12 so it will be 1.12

Answer:

Step-by-step explanation:

The sum of the polynomials in the equation is 3x² - 2x - 3

Step-by-step explanation:

(3 - 4x + 8x²) + (-6 + 2x - 5x²)

Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.

3 - 4x + 8x² - 6 + 2x - 5x²

Combine like terms.

- 3 - 2x + 3x²

Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.

3x² - 2x - 3

[tex] \bf \implies \: {3x}^{2} - 2x - 3 \\[/tex]

[tex] \bf \longrightarrow(3 - 4x + {8x}^{2}) + ( - 6 + 2x - {5x}^{2}) \\ \\ \bf \longrightarrow3 + - 4x + {8x}^{2} + - 6 + 2x + - {5x}^{2} \\ \\ \bf \longrightarrow( {8x}^{2} + - {5x}^{2} ) + ( - 4x + 2x) + (3 + - 6) \\ \\ \bf \longrightarrow {3x}^{2} + - 2x + - 3 \\ \\ \bf \longrightarrow \boxed{{3x}^{2} - 2x - 3} \: ans.[/tex]

The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is 45 minutes and 3.33 minutes respectively.

x ≥ 0

y ≥ 0

x + y ≤ 80

0.09x + 0.006y ≤ 2.16

From (1)

x ≤ 80 - y

0.09x + 0.006y ≤ 2.16

0.09(80 - y) + 0.006y ≤ 2.16

7.2 - 0.09y + 0.006y ≤ 2.16

7.2 - 0.084y ≤ 2.16

-0.084y ≤ 2.16 - 7.2

-0.084y ≤ -5.04

y ≤ -5.04 / -0.084

y ≤ 60

x + y ≤ 80

x + 60 ≤ 80

x ≤ 80 - 60

x ≤ 20

The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is

Television = $900 / 20

= 45 minutes

Radio = $200/60

= 3.33 minutes

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3/57×100

1/19×100

100/19

3.263157.

This is all that I can do to help you

Answer:

11.63

Step-by-step explanation:

Since the equation is linear you can find the value by multiplying the difference of the minutes by 0.11, and subtract it from the cost of the initial plan.

34-25=9

9(0.11)= 0.99

12.62-0.99= 11.63

B ∪ A is the relationship between Set A and Set B.

We have two sets A and B.

We have to determine the relationship between set A and set B if A intersects B = B.

A set is a collection of elements, numbers or objects, represented within the curly brackets { }.

According to the question -

A ∩ B = B.

This means that the intersection of set A and set B is equal to B. This means common elements in both the set are same as the elements of set B. This can only happen when -

B ∪ A → B is the subset of A.

Hence, B ∪ A is the relationship between Set A and Set B.

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The equations which have no solution are choices A, B, C and D.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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Answer:

46+81 round to 50+80=130   46+81=127

Step-by-step explanation:

Because 46-50

81-80

46+81=127

The co-ordinates of the y-intercept is (0,-9) .

Y-intercept is the point on the graph where the graph passes over the y-axis.

To calculate the y-intercept we have to graphically represent the curve and pick out the points where the graph crosses over the x-axis.

For a graph with an equation in the form y = f(x) , y intercept can be calculated by substituting the value of x as 0 in the equation.

In the graphical representation we can see that the graph passes through  (- 8, 3) and (- 3, - 4.5).

Therefore the slope of the line passing through these points is given by:

[tex]m=\frac{-4.5-3}{-3-(-8)} \\\\m=\frac{-7.5}{5} \\\\m=-\frac{3}{2}[/tex]

Now the equation of the line is given by :

[tex]y-3 =- \frac{3}{2} (x-(-8))[/tex]

[tex]y-3 =- \frac{3}{2} x - 12[/tex]

[tex]y=- \frac{3}{2} x - 9[/tex]

Therefore at x = 0 , the value of y is -9.

So the y-intercept is given by the point (0,-9) .

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The coordinates of the y-intercept are ( 0 , 9 / 5 ) .

Finding equation of line :

( y - 3 ) / ( x + 8 ) = ( 3 + 4.5 ) / ( - 8 + 3 )

( y - 3 ) / ( x + 8 ) = ( 7.5 ) / ( - 5 )

- 5 y + 15 = 7.5 x + 6

- 5 y - 7.5 x + 9 = 0

Equation of line : 5 y + 7.5 x - 9 = 0

Writing equation in Slope - Intercept form

y = m x + c

y = [ ( - 7.5 x ) / ( 5 ) ] + [ 9 / 5 ]

Hence , y - intercept = 9 / 5 .

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After calculating the volume of these two rectangular prisms , we have come to conclude that the total volume of two rectangular prisms is 372 in³.

A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles (top, bottom, and lateral faces) and all pairs of opposite faces are congruent.

A rectangular prism, like all three-dimensional shapes, has volume and surface area. A cuboid is simply another name for a rectangular prism.

A rectangular prism is basically a rectangle,

so the volume = l × b × h

Volume of 1st rectangular prisms = 9 × 6 × 3  

                                                       = 162 in³

Volume of 2nd rectangular prisms = 10 × 7 × 3  

                                                          = 210 in³

Total volume = 162 + 210

                      = 372 in³

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Answer: D

(1,5)

Step-by-step explanation:

Answer:

Find the values of the trigonometric functions of from the information given.

cot() = − 5/9 , cos() > 0Find the values of the trigonometric functions of from the information given.

cot() = − 5/9 , cos() > 0

Step-by-step explanation:

Find the values of the trigonometric functions of from the information given.

cot() = − 5/9 , cos() > 0

Answer:

15.  x-intercept = (-4, 0)

      y-intercept = (0, 2.5)

16.  A. An infinite number of solutions.

Step-by-step explanation:

The x-intercepts are where the line crosses the x-axis, i.e. when y = 0.

The y-intercepts are where the line crosses the y-axis, i.e. when x = 0.

Given equation:

[tex]5x-8y=-20[/tex]

Substitute y = 0 into the given equation to find the x-intercept:

[tex]\begin{aligned}y=0 \implies 5x-8(0) &=-20\\5x & = -20\\x & = \dfrac{-20}{5}\\x & = -4\end{aligned}[/tex]

Therefore, the x-intercept is (-4, 0).

Substitute x = 0 into the given equation to find the y-intercept:

[tex]\begin{aligned}x=0 \implies 5(0)-8y &=-20\\-8y & = -20\\y & = \dfrac{-20}{-8}\\y & =2.5\end{aligned}[/tex]

Therefore, the y-intercept is (0, 2.5).

Given system of equations:

[tex]\begin{cases}3x-2y=14\\6x=4y+28\end{cases}[/tex]

Multiply the first equation by 2:

[tex]\implies 2(3x-2y)=2(14)[/tex]

[tex]\implies 6x-4y=28[/tex]

Add 4y to both sides:

[tex]\implies 6x-4y+4y=4y+28[/tex]

[tex]\implies 6x=4y+28[/tex]

Therefore, the two equations are the same.  

A system of linear equations has an infinite number of solutions when the graphs are the exact same line.

Answer:

2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake

Step-by-step explanation:

f(x) , when x = 0 → f(x) = 6

So, f(0) = 6

f(x) , when x = 5 → f(x) = 7

So, f(5) = 7

f(x) , when x = 6 → f(x) = -3

So, f(6) = -3

f(x) , when x = 8 → f(x) = 10

So, f(8) = 10

The answer is A.

Answer:

1-2 is a reflection, 2-3 is a rotation.

2 and 3 are touching

Step-by-step explanation:

[tex]y = x {}^{2} - 8x + 12 \\ y = x {}^{2} - 8x + 12 + 4 - 4 \\ y = (x {}^{2} - 8x + 16) - 4 \\ y = ( x - 4)^{2} - 4[/tex]

Answer:

I don't know if it is correct

Step-by-step explanation:

v=πrh

v=22/7×11×5

v=22/7×55

v=172.857

v=17.

Answer:x is greater than or equal to 0

Step-by-step explanation:

The error led to the incorrect difference is-

meghan and hopsida do their math homework together

To find,

           5 - (-8)

meghan's answer was incorrect.

meghan put the neagative sign before 13 that's why there was difference in the answer.

Definition for difference in Math

distinction in math is the result of one of the essential mathematical operations, that is obtained by using subtracting  numbers. It tells us by means of how lots a range of differs from the other.

How do you find difference in math?

a way to locate the difference among two Numbers. To discover the difference among  numbers, subtract the number with the smallest value from the wide variety with the biggest cost. The fabricated from this sum is the distinction between the 2 numbers. consequently the distinction between forty five and one hundred is fifty five.

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Answer:  y = -4x + 6

Step-by-step explanation:

supposing m1 is the gradient of the line  for whose equation  we want to find

m1  * m2 =-1  for perpendicular lines

if m1 = 1/4

meaning m2 = -4

m2= -4 at point (2,-2)

we can get value of constant  c

y = mx =c

-2 = (-4)(2) +c

c = 6

substituting c and m2 in gen eqn of line : y =mx +c

y = -4x + 6

The amount of bacteria after 12 hours would be 8 grams

Rate can be defined as  the ratio between two quantities that are related in size but may be in different units.

It is also known as the ratio of comparison between quantities of different units.

From the information given, we have that;

To determine the amount of bacteria after 12 hours, we have;

= 12 × 15/ 100

multiply and find quotient

= 1. 8

In 12 hours, the amount of bacteria is ;

= 6 + 1. 8

= 7. 8 grams

= 8 grams

Thus, the amount of bacteria after 12 hours would be 8 grams

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According to the solving the amount should be invested in each account should be :$500.

A borrower as well as deposit-taking financial organization paying interest to a lender or depositor on an amount in excess of the original payment at a specified rate. It is not the same as a fee paid by the borrower to the lender or a third party.

Debit your Interest Expense account and credit our Accrued Interest Payable account to record the accrued interest for an accounting period. This increases the value of your expenditure as well as payable accounts.

Let the amount invested at 5 be x.

Let the amount invested at 6% be 2000 - x.

Interest on 5% will be 0.05

Interest on 6% will be 6%(2000 - x) = 120 - 0.06x

This will be:

0.05x + 120 - 0.06x = 105

- 0.01x = -15

x = 1500

The amount invested at 6% will be:

= 2000 - 1500

= 500

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El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

El sistema de notación conocido como "cis" resume los números complejos en función de su magnitud y dirección sin necesidad de usar funciones trascendentes. En esta pregunta debemos transformar un número complejo en notación cis a notación rectangular, cuya formula es mostrada abajo:

r · cis θ = r · cos θ + i r · sin θ

Donde:

En consecuencia, tenemos que el número complejo en notación cis es igual a:

z = 3 · cos (5π / 6) + i 3 · sin (5π / 6)

z = - 3√3 / 2 + i 3 / 2

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

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