PLEASE HELP

Under what conditions would triangle DEF be similar to triangle ABC? Drag and drop the choices to make the statement correct.

Answer:

1,2,-5,-1,3

Step-by-step explanation:

the coefficients are the numbers before the variables (x and y)

if there is nothing infront of the variable then the coefficient is 1

if there is only a negative sign infront of the variable then the coefficient is -1

The meaning of slope of the line in the context of the problem is a student's test score goes up 9 points every time they complete 1 homework assignment.

Slope of line is shows how much a line is inclined with respect to the X axis. In other words, it can also be defined as the change in y coordinates with respect to the change in x coordinates.

Slope of the line can be calculated if two points (x₁, y₁) and (x₂, y₂) are given as,

Slope = (y₂ - y₁) / (x₂ - x₁)

From the graph, take any two points on the line.

For instance, we take initial point (1, 20) and final point (10, 100).

Slope = (100 - 20) / (10 - 1)

          = 80/9

          ≈ 9

From the definition of slope, slope equals 9 means y values goes 9 points up with respect to one unit up in the x values.

Hence we got that a student's test score goes up 9 points every time they complete 1 homework assignment.

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Answer: 6,250

Step-by-step explanation: As the equation states there are 25 boxes with 250 packs of ketchup take the 25 boxes and multiply the 250 packets

250x25=6,250

Answer:

The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept

Step-by-step explanation:

Here is the one that you need

Answer: It's B

Step-by-step explanation:

It shows that Angle B is congruent to angle g but it actually isnt

Answer:

B.  ∠b ≅ ∠g

Step-by-step explanation:

Supplementary angles

Two angles whose measures sum to 180°.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

------------------------------------------------------------------------------------------

Statement A

∠f and ∠h are vertical angles.  Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.

Statement C

As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.

Statement D

∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.

Therefore, Statement B cannot be supported by the evidence shown.

The Local maxima and minima will be at X = 0 , 4 , -5 and point of inflation will be at [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex].

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.

Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.

The peaks and minima of the function that appear in a certain interval are known as local maxima and minima. The value of a function at a place in a certain interval for which the values of the function near that point are always smaller than the value of the function at that point would be considered a local maximum. Local minima, on the other hand, would be the value of the function at a location where the values of the function nearby are higher than the value of the function at that location.

When the concavity of a function's graph (or picture) changes, a point of inflection is identified. We need to determine where the second derivative of the function switches from negative to positive, or vice versa, in order to determine this in algebra. So, we calculate the provided function's second derivative.

The fuction is :

[tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex]

So for local Maxima and minima first derivatives should be zero

Therefore,

[tex]\frac{d}{dx}\\[/tex] ([tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex] ) = 0

⇒ [tex]12x^{3} + 12x^{2} - 240x = 0[/tex]

⇒ [tex]x^{3} + x^{2} - 20x = 0[/tex]

⇒[tex]x(x^{2} + x - 20) = 0 \\[/tex]

⇒x(x-4)(x+5) = 0

For x = 0, 4 , -5 there is a local maxima or minima.

Now for Point of Inflation second derivative is zero

Therefore,

[tex]\frac{d^{2} }{dx^{2} }[/tex] ( [tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex]) = 0

⇒  [tex]\frac{d}{dx}[/tex][tex]12x^{3} + 12x^{2} - 240x = 0[/tex]

⇒ [tex]36x^{2} + 24x - 240 = 0[/tex]

⇒[tex]3x^{2} + 2x - 20 = 0[/tex]

⇒ x = [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex]

So the point of inflations are [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex].

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Answer:

No, Franco's calculation is incorrect.

Step-by-step explanation:

No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.

When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.

To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:

Copy code

9.37

x 0.1

0.937

Therefore, the correct answer is 0.937, not 93.7 as Franco stated.

Answer:

No. This is incorrect.

Step-by-step explanation:

9.37 × 1 = 9.37

Times by 1 the number stays the same.

If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.

9.37 × 10 = 93.7

9.37 × 0.1 = 0.937

find the area of the rectangle;

w x l = 8 x 10 = 80ft^2

circle;

pi(r)^2

r = 4

pi(4)^2

pi(16) = 50.24

80 + 50.24 = 130.24

Answer:

148 degrees

Step-by-step explanation:

b/c a line is 180 degrees and the angle given is 32 so 180- 32= 148

and the line is bisected at point p so it is 148 because of alternate interior angles.

Answer: The degree of a polynomial is the highest exponent of the variable in the polynomial. The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

In the expression "n + 8", the highest degree of the variable is 1 and the coefficient of the term with the highest degree is 1. Therefore, the degree of the polynomial is 1 and the leading coefficient is 1.

So, the degree of the polynomial is 1 and the leading coefficient is 1.

Note: If the expression had included terms with higher degrees of the variable, such as "n^2 + 3n + 8", the degree of the polynomial would have been 2 and the leading coefficient would have been 1.

Answer: x=22

Step-by-step explanation:

Based on the given figure, we can tell that 2x and 44 are vertical angles. Vertical angles are congruent to each other, so we can set them equal to each other.

2x=44           [divide both sides by 2]

x=22

Therefore, x=22.

Answer:

x = 3+y

Step-by-step explanation:

is your ans .................

Answer:

Do u like m&m because I do

The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars is (D) 1/16.

The term Acceleration defined as the gravity at the surface of Mars is given by the formula

Gₙ = GM/R²

where

M refers mass of Mars

R refers radius of Mars

Here we need to find if we take a point which is at height 3 times the radius of Mars from its surface.

While we take the height 3 times the radius of Mars from its surface.

The it can be written as,

=> Gₙ = GM/(3R + R)²

When we expand it then we get.

=> Gₙ = GM/16R²

Therefore, the resulting gravity on the surface of the mars is 1/16.

So, the option (D) is correct.

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Mathematically, the balance on Howard Gessner's American Express card on September 1 is $360.63.

The ending balance on September 1 is determined using the mathematical operations of addition, subtraction, and multiplication (for the finance charge).

The finance charge is the interest and other fees paid for borrowing credit.

The finance charge is always based on a percentage, called the annual or monthly percentage rate (APR or MPR).

In this situation, the monthly percentage rate is applied to the unpaid balance (multiplication) at the end of August, to determine the finance charge, which is added to the unpaid balance to compute the September 1 balance.

August 1 Balance =        $543.27

Purchases                        201.25

Returns                            (89.22)

Payments                      (300.00)

Unpaid balance           $355.30

Finance charge                  5.33 ($355.30 x 1.5%)

September 1 Balance $360.63

Thus, using mathematical operations, the balance on September 1 is $360.63.

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The mean of the given data is 12.4

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.

Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12

Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14

The sum is = 10+12+11+13+14+12+13+14+13+12 = 124

Total number of data = 10

Mean = sum of the numbers/ total numbers of data

Mean = 124/10

Mean = 12.4

Hence, the required mean is 12.4

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The statement which is correct about the speed of the two objects is both travel at steadily increasing speed.

A direct relation exists when the two variables rise or fall together. In a straight link, as X rises, Y rises as well. A straight relationship will always have a positive slope on a graph.

Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The graph shows the direct relation that means with increasing time and distance speed will increase. Moreover, the table also shows direct and increasing relation about the speed of two objects so the statement both travel at steadily increasing speed is correct.

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For sketching the graph we need to know the coordinate of the vector which are r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩

Given:-

x = t − 2,

y = t² + 1 ⇒ t = x + 2

⇒ y = (x + 2)2 + 1

⇒ y = x² + 4x + 5

For find r′(t) we have to ,

r′(t) = ⟨1, 2t⟩

To sketch the position vector r(t) and the tangent vector r′(t) for t = 1.

r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩

See the above figure. The red vector is r(1) and the blue one is r′(1)

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Answer: an=-2(an-1), a1=3.5

Step-by-step explanation: took the quiz and got it right

An = -3.5(-2)ⁿ⁻¹ and -3.5  are the Nth and first terms of the above sequence, respectively.

Every term in a geometric series is obtained by multiplying the term before it by the same number. Aₙ = a₁ rⁿ⁻¹ is the general phrase for it. The common ratio is denoted by the number r.

Given a₂ = 7 and a₅ = −56 for a geometric sequence.

From the general formula of geometric sequence's nth term

Aₙ = a₁ rⁿ⁻¹

Thus

A₂ = 7 = a₁ r²⁻¹ = a₁ r

A₅ = -56  =  a₁ r⁵⁻¹ = a₁ r⁴

comparing both equations

A₂/ A₅ = a₁ r /  a₁ r⁴

=>  -7/56 = 1/r³

=> r³ = -8

=> r = -2

putting this value of r in equation 1

a₁ = -7/2

Hence, for the nth term of the sequence

Aₙ = -7/2(-2)ⁿ⁻¹

Therefore, the Nth term and the first term of the given sequence are Aₙ = -3.5(-2)ⁿ⁻¹ and -3.5 respectively.

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The coordinate of the parabola's focus in the following equation, x2=6y, is (0,3/2)

What are Directrix and Focus?

What are a parabola's focus and directrix? Typically speaking, parabolas are the graphs of quadratic functions. They can alternatively be thought of as the collection of all points whose separation from the focus is the same as their separation from a certain line (the directrix).

What are the focus's coordinates?

The focus's coordinates f(0,a)

The equation that we have given is

x^2 = 6y

We are aware that the parabola's general equation is,

x^2 = 4ay

The axis of symmetry is a line that splits the parabola in half and runs through the focus.

We must ascertain the worth of

6y = 4ay

6 = 4a

a = 6/4 = 3/2

The focus' coordinate (0,3/2) is as a result.

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Answer:

There are 3 blue fish in the aquarium.

Step-by-step explanation:

Let the total number of fish be denoted by T, total number of blue fish be B and total number of red fish be R

We can write, T = B + R

Since the aquarium has one fewer redfish than blue fish, R = B - 1

So,

T = B + (B - 1) = 2B - 1

As 60% of total fish is blue, we can write

60% of T = B

or, (60/100) x T = B

or, 3/5 x T = B

or, 3/5 x (2B - 1) = B

or, 6B - 3 = 5B

or, 6B - 5B = 3

or B = 3

Therefore, there are 3 blue fish in the aquarium.

No. of red fish, R = B - 1 = 3 - 1 = 2

Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.

Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.

P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.

The likelihood that all seven witnesses would select the same subject is P = [tex](\frac{1}{5})^{7}[/tex]= 0.0000128.

Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.

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The probability of those that favors building the health center is 0.196

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

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The slope of the given line is 13 and the y - intercept of the line is 9.

What is equation of line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

Consider, the given equation of line,

C(m) = 13m + 9

We have to find the slope and y - intercept of the given equation.

From the given equation the slope of the equation is 13 and the y - intercept is 9.

Consider, the general equation of line

y = mx + c

where,

m is the slope of line and

c is the y - intercept of the line.

Compare the given equation C(m) = 13m + 9 with, y = mx + c

⇒  m = 13 and c = 9

Hence, the slope of the given line is 13 and the y - intercept of the line is 9.

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The coordinates of B after the rotation of 90 degrees about the origin is (c) (-5, 1)

The figure of the pentagon missing in the question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

Coordinate of point B = (1, 5)

Also, from the question, we have the transformation to be

Rotation of 90 degrees about the origin

Mathematically, the rotation of 90 degrees about the origin can be represented as

(x, y) → (-y, x)

Substitute the known values in the above equation, so, we have the following representation

Coordinate of point B after rotation = (-5, 1)

Hence, the coordinate of point B after the rotation is (c) (-5, 1)

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Answer i just need points

Step-by-step explanation: maybe 90

The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

Given that,

The values of the x are -3,0,2 and the f(x) are -8,-2,-28

We have to find the equation of the parabola with the x and f(x) values.

We know that,

The equation of the parabola of the form f(x) = ax²+bx+c

So,

-3a-3b+c=-8 ----->equation(1)

c=-2

2a+2b+c=-28 ------>equation(2)

Substituting c=-2 in equation(1) and equation(2)

-3a-3b-1+8=0

-3a-3b+7=0 ------>equation(3)

2a+2b-2+28=0

2a+2b+26=0 ------>equation(4)

Subtracting 2×equation(3) and 3×equation(4)

                               b=5

Substituting in equation(1)

a=7

Therefore, The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

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Answer:

4s-$300

Step-by-step explanation:

Two pieces of information given describe Jessica's salary in relation to her starting salary.  This information is that she makes nearly four times her starting salary (multiplication) and the exact amount she is short of exactly four times is $300 (subtraction).  As with the order of mathematical operations, start with multiplication, then put the subtraction into the expression.

s

4s

4s-$300

This final expression shows how much she is making now in terms of her starting. salary