The x-intercepts of a parabola are (-5, 0) and (3, 0). What is the function of the parabola?
ỌA 1x) = -2(x+2x-5)
OB. x) = -2(x²+2x-15)
OC. Rx) = -2(x²-2x-15)
OD. x) = -2(x²-2x-5)

If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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Answer: 10 hours

Step-by-step explanation:

happy to help

Answer:

C

Step-by-step explanation:

The line goes right 2 up 3 so the slope must be 3/2. You can track the point (-3,-2) on the line in the graph.

Answer:

Unit rate=850

Step-by-step explanation:

673.5/0.75=850

1/4x850= 212.5

1.5x850= 1275

2.5x850= 2125

5.5x850= 4675

Answer:

  h = 3V/(πr²)

Step-by-step explanation:

You want to find the height of a cone given the volume and radius.

You can find the height by using the volume formula and solving it for height.

  V = 1/3πr²h

Multiplying by the inverse of the coefficient of h gives ...

  3V/(πr²) = h

You can use this formula to find the height from the volume and radius:

  h = 3V/(πr²)

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A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

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Answer:  2-fold

The symbol has reflectional symmetry about the line containing the slash, and about the perpendicular bisector of the slash. There are two (2) axes of reflectional symmetry.

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

The objects that will have a greater force between them are Objects B and C

Gravitational Force between two objects with masses of m₁ and m₂ is given by the formula: F = Gm₁m₂/r²

where;

G is the gravitational constant (6.67 x 10^-11 m³ s⁻² kg⁻¹)

r is the distance between the two objects

F is the magnitude of the force between the objects.

Objects B and C will have greater force between them because the distance r between A and B is the same as the distance between B and C. But the product of the masses of Objects B and C is much greater than that of the product of the masses of Objects A and B.

Gravitational Force is always directly proportional to the product of the masses of the two objects.

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:

x = 3/2

Step-by-step explanation:

Simplify this equation by dividing all three terms by 1/4:

2x - 1 = 2, or

2x  = 3

Then x = 3/2

Answer:

Each country will have a representative of 565 people in that political gathering.

Step-by-step explanation:

Answer:

$72.80

Step-by-step explanation:

1.) Find 60% of 45.50

0.60 * 45.50 = 27.3

2.) Add this to the cost

27.30 + 45.50 = 72.80

Answer: D

Step-by-step explanation:

(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.

I think C was supposed to be -27/40 so D is the correct answer since it's positive.

The measure of angle B is 82°

What is angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

∠A = 180° - 143°

     = 37°

∠A + ∠B + ∠C = 180°

37° + ∠B + 61° = 180

∠B = 180 - 61 - 37

     = 82°

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Answer:

letter a

Step-by-step explanation:

Answer:

#15 is A

Step-by-step explanation:

The answer is Series 1. It satisfies the given condition as it is a geometric series with a common ratio of 1/3. Each term in this series is obtained by multiplying the previous term by 1/3, which confirms that it is indeed a geometric series with the given condition.

We need to test each series to see if it is geometric with x = 1/3. Remember, a geometric series is one in which each term is obtained by multiplying the previous term by a constant value. In this case, that constant value is x = 1/3.  Let's test three series to see if they fit the given condition:  1) 3, 1, 1/3, 1/9, 1/27, ...
To see if this series is geometric with x = 1/3, we can check if each term is obtained by multiplying the previous term by 1/3.
1/3 ÷ 1 = 1/3
1/9 ÷ 1/3 = 1/3
1/27 ÷ 1/9 = 1/3
Since each term is obtained by multiplying the previous term by 1/3, this series is geometric with x = 1/3.

2) 1, 1/3, 3, 1/9, 9, ...
To test if this series is geometric with x = 1/3, we can check if each term is obtained by multiplying the previous term by 1/3.
1/3 ÷ 1 = 1/3
3 ÷ 1/3 = 9
1/9 ÷ 3 = 1/27
Since the terms are not consistently obtained by multiplying the previous term by 1/3, this series is not geometric with x = 1/3.
3) 1, 1/3, 1/9, 1/27, ...
To test if this series is geometric with x = 1/3, we can check if each term is obtained by multiplying the previous term by 1/3.
1/3 ÷ 1 = 1/3
1/9 ÷ 1/3 = 1/3
1/27 ÷ 1/9 = 1/3
Since each term is obtained by multiplying the previous term by 1/3, this series is geometric with x = 1/3.

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Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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Answer:

ANS:- = -25/18

Step-by-step explanation:

= (5/6)/(-3/5)

=5*5/6*(-3)

=25/-18

= -25/18

Brenna would take 20 min to cut the same wood into sixths.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the rate at which Brenna cuts the wood in a single piece,
So, She can cut a log into thirds in 10 min.
x = 3/10

x = 0.3 cuts per minute for single wood,

Now,
time took to cut the same wood into 6 pieces
= 6 / x
= 6 / 0.3
= 20 min

Thus, Brenna would take 20 min to cut the same wood into sixths.

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Step-by-step explanation:

The domain is the possible x values of a function.

Since our function is a reciprocal function, our denominator can't equal 0. Note x=0, is a vertical asymptote.

So our domain is

All Reals except 0,

or (-oo,0) U (0, oo).

The maximum displacement of the mass in the undamped spring-mass system is approximately 0.02 inches, rounded to two decimal places.

To find the maximum displacement of the mass in the undamped spring-mass system, we can use the concept of impulse-momentum. First, let's convert the given weights to mass units. 17.9 lb is approximately equal to 8.13 kg, and 4.0 lb is approximately equal to 1.81 kg. The impulse J can be calculated by multiplying the force (4.0 lbs) by the time duration (0.4 seconds), which gives us J = 1.6 lb·s. The maximum displacement x can be determined using the formula x = J / (mω), where m is the mass (8.13 kg) and ω is the angular frequency (2π / T), with T being the natural period (0.4 seconds). Substituting the values into the formula, we have: x = (1.6 lb·s) / (8.13 kg * 2π / 0.4 s).

Evaluating the expression, we find: x ≈ 0.02 inches. Therefore, the maximum displacement of the mass in the undamped spring-mass system is approximately 0.02 inches, rounded to two decimal places.

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The area of the figure given is 49 square feet's.

       ∫dA = ∫∫F(x, y) dx dy

       A =  ∫∫F(x, y) dx dy

Given is a figure as shown in the image attached.

We can write the area of the figure as -

A = A{T} + A{R}

A = (4 x 10) + (1/2 x 6 x 3)

A = 40 + 9

A = 49 square feet's

Therefore, the area of the figure given is 49 square feet's.

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The minimum value for the heights is p1 = -4. To find the best straight line using the given points (0,0), (1,8), (3,8), and (4,20) and the given time points t = 0, 1, 3, and 4, we will use the least squares method.

We'll set up a system of linear equations, A^TAx = A^Tb, and solve for the unknowns.

First, let's define our matrix A, which will have the time points as the first column and 1s as the second column:

A = | 0 1 |
   | 1 1 |
   | 3 1 |
   | 4 1 |

The vector b represents the heights at each time point:

b = | 0  |
   | 8  |
   | 8  |
   | 20 |

Next, we will compute A^T (the transpose of A) and the product A^TA:

A^T = | 0 1 3 4 |
     | 1 1 1 1 |

A^TA = | 26  8 |
      | 8   4 |

Similarly, compute the product A^Tb:

A^Tb = | 104 |
      | 36  |

Now, solve the system A^TAx = A^Tb for the unknowns x:

x = (A^TA)^(-1) * A^Tb = | 2  |
                         | -4 |

So, the best straight line can be described as:

y = 2t - 4

Now we will find the four heights (pi) and four errors (ei):

For t = 0, p1 = 2(0) - 4 = -4, e1 = 0 - (-4) = 4
For t = 1, p2 = 2(1) - 4 = -2, e2 = 8 - (-2) = 10
For t = 3, p3 = 2(3) - 4 = 2,  e3 = 8 - 2 = 6
For t = 4, p4 = 2(4) - 4 = 4,  e4 = 20 - 4 = 16

The minimum value for the heights is p1 = -4.

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Answer:

8u - 20

Step-by-step explanation:

60% of the people in the room are married men.

We can use the information that the probability of a randomly selected woman being single is 2/5 to find the fraction of people in the room who are married men.

Let's call the fraction of people in the room who are married men x. The fraction of people in the room who are single women is (2/5) and the fraction of people in the room who are married men and their wives is (1-x)

Since there are only single women and married men with their wives at the party, we know that the sum of the fractions of single women and married men and their wives must be 1.

(2/5) + (1-x) = 1

We can solve this equation for x:

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

So the fraction of people in the room who are married men is 3/5 or 0.6

So, 60% of the people in the room are married men.

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Answer: This question is asking for your answer, so it is asking for a possibility of what the person responds with.

Step-by-step explanation:

Here is an example:

The school takes a survey on what snacks they should add

Sample:

I think that they should add healthier snacks like carrots.