A coordinate plane with a horizontal line passing through (negative 3, negative 3), (negative 3, 0) and (negative 3, 3). Which is true of the standard form of the equation of the line graphed? The value of A can be –1 if the value of C is 3 and the value of B is 0. The value of A can only be 1, the value of C can only be –3, and the value of B is 0. The standard form of the equation can be shown as 3x = –9. The standard form of the equation can only be x + 3 = 0.

answer : 196 units ^ 2

it is a square, so all sides are 14 units long

the area of a square is length x width

so you do 14 x 14 = 196

The probability that Natalie gets all three questions correct by random guessing is (1/4) * (1/4) * (1/4) = 1/64.

Since each question has four possible options (A, B, C, or D), the probability of guessing the correct answer for each question is 1/4.

To find the probability of getting all three questions correct, we multiply the individual probabilities together:

Probability = (1/4) * (1/4) * (1/4) = 1/64.

Therefore, the probability that Natalie gets all three questions correct by random guessing is 1/64. This means that for each set of three questions, there is only a 1 in 64 chance that Natalie will guess all three correctly by pure chance.

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Answer:

Step-by-step explanation:

4x^2-40-120

4x^2-160

4x^2=160

x^2=40

sqrt40=6.32

The time in years for which the values are the same is given as follows:

7.25 years.

A decaying exponential model is given as follows:

y = a(1 - r)^t.

For which:

The parameters for this problem are given as follows:

a = 56000, r = 0.12.

Hence the exponential model is given as follows:

y = 56000(0.88)^x.

The linear model is given as follows:

y = b - mx.

In which:

The parameter values for this problem are given as follows:

b = 56000, m = 56000/12 = 4666.67.

Hence the linear model is:

y = 56000 - 4666.67.

The point of intersection of the two graphs is at a time of 7.25 years.

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The centroid of the remaining circular area after the 21 mm diameter circle is cut out is located 3.5 mm away from the y-axis.

we need to use the formula for finding the centroid of a circle, which is (4r/3π) away from the center of the circle. In this case, the center of the remaining circle is located at (14,0) on the coordinate plane since it is tangent to the y-axis and has a diameter of 28 mm.

Using the formula, we can calculate the distance from the center of the remaining circle to the y-axis as follows:

(4(14)/3π) = 18.67 mm

Therefore, the centroid of the remaining circular area is located 18.67 mm away from the center of the circle, which is 14 mm away from the y-axis. To find the distance from the y-axis, we need to subtract the radius of the remaining circle, which is 7 mm, from this distance:

18.67 mm - 7 mm = 11.67 mm

So, the conclusion is that the centroid of the remaining circular area is located 11.67 mm away from the y-axis.

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Answer:

c

Step-by-step explanation:

im not for sure but i think its c

Answer:b

Step-by-step explanation:

Answer:

27/100 because if u write the decimal out in word form it's 27 hundredths and its the same thing if u write 27/100 in word form

Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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Given the word problem, we can deduce the following information:

Volume of a rectangular pyramid=64 units^3

length of the rectangular base = 4 units

width of the rectangular base = 6 units

To determine the height of the pyramid, we use the formula as shown below:

where:

V= Volume of the rectangular pyramid

l=length of the rectangular base

w=width of the rectangular base

h=height of the pyramid

We plug in what we know:

Therefore, the height of the pyramid is 8 units.

Answer:

true for A P E X

Step-by-step explanation:

Answer:4:15

Step-by-step explanation:

EZ

Answer:

9/14

Step-by-step explanation:

81/126=9x9/9x14=9/14

Answer:

9/14

Step-by-step explanation:

I divided both the numerator and denominator by 9 and 9/14 is the "most simplified" it can go to, unless I'm incorrect. Hope this helped ^-^

$3200

The profit-maximizing quantity will take place where MR = MC—or at the last possible point before marginal costs start surpassing marginal revenue. The amount of goods produced at which marginal revenue equals marginal cost, or when MR = MC, is the decision that will maximize profits for the monopoly. If the monopoly produces less, MR > MC at given production levels, and the enterprise can increase profits by increasing output.

While a company produces more, MC > MR prevails, allowing it to increase profits even when it produces less overall. Therefore:

MC = change in total cost/change in quantity

      Change in quantity = 100 at each unit

      Change in total cost at 400 units = 2760 - 1960 = 800

      MC at 400 units  = 800/100 = 8

Under perfect competition, profit maximizing condition is where;

      P = MC

      At 400 units, P = MC = 8

Implies profit maximizing quantity is 400 units.

      Total revenue = Price x Quantity = 8 x 400 = $3200

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a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.

Using the product rule, we have:

f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'

The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:

f'(x) = x*cos(x) + sin(x)

So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).

(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.

Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).

Using the chain rule, we have:

f'(x) = f'(u) * u'

The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:

(sech^(-1)(u))' = 1/sqrt(1 - u^2)

Since u = x^2, we have:

f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'

Simplifying:

f'(x) = 1/sqrt(1 - x^4) * 2x

So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

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Answer:

708

Step-by-step explanation:

Using trig we know that tan of an angle is equal to opposite/adjacent, using this we can conclude that tan(42)=top half of x/518 so we do tan(42)*518 to find the side of the top triangle and then do the same process for the bottom one but instead of using tan(42) you use tan(25)

Answer:

The equation given above is  sqrt (2x + 1) = 3. First, square both sides of the equation giving, 2x + 1 = 9. Solving for x in this equation gives an answer of x = 4. When we substitute x = 4 to the original equation, the number inside the radical sign is positive. Thus, x = 4 and it is a non-extraneous root.

Step-by-step explanation:

hope this helps!

Answer:

Yes

Step-by-step explanation:

Given that:

128 ounces of food is provided for the dogs to feed for 7 days :

Dogs :

Buster consumes 20.5 ounces in 2 days

Roxy consumes 22.5 in 3 days

Buster's consumption per day = 20.5 / 2 = 10.25 ounces

Roxy's consumption per day = 22.5 / 3 = 7.5 ounces

Total daily consumption :

(10.25 + 7.5) ounces = 17.75 ounces

Total consumption for 7 days :

17.75 ounces * 7 = 124.25 ounces

Hence, the 128 ounces of food provided will be enough

Answer:

i love ur art its amazeballs and an asteroid thing

Step-by-step explanation:

Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Hi ;-)

Equation 1°

\(2(x+1)=-8x+8(x-2)\\\\2x+2=-8x+8x-16\\\\2x+8x-8x=-16-2\\\\2x=-18 \ \ /:2\\\\\huge\boxed{x=-9}\)

Equation 2°

\(4(7+2x)=-2(x+4)+4x\\\\28+8x=-2x-8+4x\\\\8x+2x-4x=-8-28\\\\6x=-36 \ \ /:6\\\\\huge\boxed{x=-6}\)

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

You're right, the answer is C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I am not sure if it is B or C, but I can say that it is not A since the figure in A is rotated. Figure in B kinda looks like a reflection then C because if the figures were translated then the corner should be at one side. Sorry if that kinda confused you, but I added a picture of what I am trying to say for the figure in option B. I guess it is C.

Hope this helps, thank you !!

The number of ways in which captain of the team arrange the 6 bowlers for a game is 720.

For the stated question-

Total members in bowling team = 6.

Number of ways to arrange them = 6!

Number of ways = 6 x 5 x 4 x 3 x 2 x 1

Number of ways = 720

Thus, the number of ways in which captain of the team arrange the 6 bowlers for a game is 720.

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The measure of the angle ABC from the diagram is equivalent to 78 degrees.

We need to find <ABC

Let us produce BA to meet PR at point G.

It is given that BG || PQ

Thus, <RGB and <QPR are corresponding angles.

This shows that <RGB = <QPR since they are corresponding angles.

On the other hand, <QPR = 102 degrees and <ABC are <RGB consecutive interior angles, then:

<ABC + <RGB = 180

<ABC + 102 = 180

<ABC = 180 - 102

<ABC = 78 degrees

Hence the measure of the angle ABC from the diagram is 78 degrees.

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Answer:

By the vertical Angles Theorem , < 1 = <2 and < 4 = <3.  <1 = <4 is given , so <2 = <3 by the transitive property of Congruence.

Step-by-step explanation:

By the vertical Angles Theorem , < 1 = <2 and < 4 = <3.  <1 = <4 is given , so <2 = <3 by the transitive property of Congruence.

The transitive property of congruence states that two objects that are congruent to a third object are also congruent to each other

1 =4

and 4=3

and 1=2

so 2=3

to see quick score she must use a pie chart