what is y= - 2 (x-5) ^ 2 + 3 vertex, axis of symmetry, direction of opening, max or min and y intercept

Answer:

This question is only if 25 points. And you have typed 50 points.

Answer is 16-4-2-1

16-4-2-1

Step-by-step explanation:

From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.

So, slope of the line (m) passing through the points (a, b) and (c, d) is

m = d - b/ c - a

m = 4 - 3 / 1 - 0 = 1/1 = 1

Also, line makes an intercept of 3 units in positive direction of y - axis.

So, c = 3

y = mx + c

y = 1 × x + 3

We know, Equation of line passing through the points (a,b) and (c, d) is given by

y - b = d - b / c - a (x - a)

a = 0

b = 3

c = 1

d = 4

y - 3 = 4 - 3 /1 - 0 ( x - 0 )

y - 3 = 1/1 ( x - 0 )

y - 3 = x

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.

I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

f(4)

Step-by-step explanation:

Answer:

There are seven squares on the left side and on the right side there is 2 circles and 3 squares i.e. attached to each other

Step-by-step explanation:

The explanation is shown below:

Given that

7 = 2x + 3

There are seven squares on the left side and on the right side there is 2 circles and 3 squares i.e. attached to each other

Kindly see the picture on the attachment area

Answer:

2, 0, 1

Step-by-step explanation:

In quadratic equations if b^2-4ac is greater than 0, 2 solutions. if equal, 1, if less, 0.

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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Answer:

Step-by-step explanation:

The first thing you need to do is find the volume.

r = 2cm

h = 7 cm

pi = 3.14

V = pi*r^2 *h

V = 3.14 * 2^2 * 7

V = 3.14 * 4 * 7

V = 87.92 cm^3

Next find the mass using the density formula

Density = mass / volume

Density = 3.1 grams / cm^3

Volume = 87.92 cm^3

3.1 = m / 87.92               Multiply both sides by 87.92

3.1 * 87.92 = m

m = 272.55

Note:

Technically There should be no decimal places. 3.1 is only 2 significant digits. The answer should be 270 grams.

The value of λ that makes the vectors linearly dependent is -1/2.

The vectors are linearly dependent if and only if one is a scalar multiple of the other.

So we need to find the value(s) of λ such that:

v2 = k v1

where k is some scalar.

This gives us the system of equations:

6 = -3k

1 = 2-kλ

Solving the first equation for k, we get:

k = -2

Substituting into the second equation, we get:

1 = 2 + 2λ

Solving for λ, we get:

λ = -1/2

Therefore, the value of λ that makes the vectors linearly dependent is -1/2.

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Answer:

Screenshot

Step-by-step explanation:

The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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The null hypothesis would be: H0: µ ≥ 65.

In this scenario, the null hypothesis would be that the training does not significantly improve the rats' completion times, and the alternative hypothesis would be that it does.

The null hypothesis is typically denoted as H0, while the alternative hypothesis can be denoted as Ha.

We know that the mean time for an untrained rat to run a standard maze is 654 seconds, so we can use this as the baseline for our hypotheses.

The alternative hypothesis in this case would have the form A.

Ha: µ<65, since we want to determine whether the training has reduced the completion times

(i.e., whether the rats are completing the maze faster than the mean time of 654 seconds).

We can use a one-tailed test to compare the rats' completion times before and after training, with the alternative hypothesis being that the completion times after training are significantly lower than 654 seconds.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

Plug the x and y values to get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 292 yards

The statement

The length of the field is 7 yards less than double the width is written as

l = 2w - 7

Substitute the expression into the above formula and solve for the width

292 = 2( 2w - 7) + 2w

292 = 4w - 14 + 2w

292 = 6w - 14

6w = 292 + 14

6w = 306

Divide both sides by 6

w = 51

Substitute this value into l = 2w - 7

That's

l = 2(51) - 7

l = 102 - 7

l = 95

Therefore we have

length = 95 yards

width = 51 yards

Hope this helps you

Answer:

15

Step-by-step explanation:

5/100*300

100 can be cut for 100 and 300

so 5/1*3

ans 15

Answer:

Percentage Calculator: What is 5 percent of 300? = 15.

Mee

increase 31 kg by 100%

Answer:

\(8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} \)

Answer:

A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter.

may be this help u

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

  = 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

If the mean number of errors per page is 5, then the probability that a )exactly 3 errors will be found on a page is 0.14037 and b) fewer than 5 errors will be found on a page is 0.26502.

The mean number of errors per page is 5.

(a) The probability that exactly 3 errors will be found on a page can be found using Poisson distribution formula:

P (x; μ) = (e-μ) (μx) / x!

Where x = 3, μ = 5 and e = 2.71828...Using the above formula,

P (x = 3) = (2.71828)^(-5) (5^3) / 3!≈ 0.14037

(b)The probability that fewer than 5 errors will be found on a page can be found using Poisson distribution formula is:

P (x; μ) = (e-μ) (μx) / x!

Where x = 0, 1, 2, 3 and μ = 5 and e = 2.71828...

Using the above formula, we can find P (x = 0), P (x = 1), P (x = 2) and P (x = 3) and add them to get the required probability:

P (x < 5) = P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3)

P (x < 5) = (2.71828)^(-5) [(5^0) / 0! + (5^1) / 1! + (5^2) / 2! + (5^3) / 3!]≈ 0.26502

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Answer:

m=1/5

Step-by-step explanation:

Answer:

Two-times the x-value and two-times the opposite y-value.

Answer:

2(4)-3+5

Step-by-step explanation:

8-3+5

13-3

10

Answer:

i would say a

Step-by-step explanation:

The possible approximate lengths of b are: 2.3 units and 7.8 units

We know that the law of sines for triangle is:

The ratios of the length of all sides of a triangle to the sine of the respective opposite angles are in proportion.

This means, for triangle ABC,

\(\frac{sin~ A}{a} =\frac{sin~B}{b} =\frac{sin~ C}{c}\)

where a is the length of side BC,

b is the length of side AC,

c is the length of side AB.

For triangle ABC consider an equation from sine law,

\(\frac{sin~ A}{a} =\frac{sin~ C}{c}\)

here, c = 5.4, a = 3.3, and m∠A = 20°

\(\frac{sin~ 20}{3.3} =\frac{sin~ C}{5.4}\\\\\frac{0.3420}{3.3} =\frac{sin~ C}{5.4}\)

0.3420 × 5.4 = 3.3 × sin(C)

sin(C) = 0.5596

∠C = arcsin(0.5596)

∠C = 34.03°  OR 145.9°

∠C ≈ 34° OR 146°

We know that the sum of all angles of triangle is 180 degrees.

so, ∠A + ∠B + ∠C = 180°

when m∠C = 34°,

20° + ∠B + 34.03° = 180°

∠B = 125.97°

m∠B = 126°

when m∠C = 146°,

20° + ∠B + 146° = 180°

m∠B = 14°

Now consider equation,

\(\frac{sin~ A}{a} =\frac{sin~ B}{b}\\\\\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 126^{\circ}}{b}\)

b × 0.3420 = 0.8090 × 3.3

b = 7.8 units

when m∠B = 14°,

\(\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 14^{\circ}}{b}\)

b × 0.3420 = 0.2419 × 3.3

b = 2.3 units

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The complete question is:

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

In ΔABC, c = 5.4, a = 3.3, and measure of angle A = 20 degrees. What are the possible approximate lengths of b? Use the law of sines to find the answer.

2.0 units and 4.6 units

2.1 units and 8.7 units

2.3 units and 7.8 units

2.6 units and 6.6 units