Factor.f(x) = ×2 + × - 20(x + [?])(x - [ ])

Step-by-step explanation:

You could do Length x Width x Height (of the sandbox) to find the volume of the whole sandbox, and then divide it by 2. That would equal the amount of sand.

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:

it should be <...........

Answer:

its < some fractions can be bigger than other fractions but whole numbers like 1. 2. 3. and .4 are always bigger t but in this than fractions but in this case the fraction and the right is the biggest so b

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

A solution to a function makes the equation true.

Verifying a Solution

To verify a possible solution, we can plug the values into the equation and see if it's true.

Now, simplify the right side.

Since this statement is not true (5, -2) is not a solution.

What is a Solution?

Numerically, a solution is a coordinate pair that makes an equation true. However, we can also attempt to understand solutions from a graphical viewpoint. The function we are given is a linear function, meaning it is a straight line. Any coordinate pair that is on this line will be a solution. Coordinate pairs that are not on the line, such as (5, -2) are not solutions. Since linear functions are infinite and continuous, the number of solutions for this function is also infinite.

Answer:

[4  0]

Step-by-step explanation:

Given that:

\(A=[3\ \ 0], B=[-1\ \ 0]\)

Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.

Addition and subtraction of two matrices can be done if they have the same dimensions.  This is done by simply adding or subtracting the corresponding entries in matrices.

\(A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0]\)

Answer:

9.72 seconds ( approx )

Step-by-step explanation:

Since, the equation that shows the height of the rocket from the ground,

y=-16x^2+143x+121y=−16x

2

+143x+121

Where,

x = time after launch, in seconds,

When the rocket hits the ground,

y = 0,

i.e.

-16x^2 + 143x+12=0−16x

2

+143x+12=0

By the quadratic formula,

x = \frac{-143\pm \sqrt{(143)^2 - 4\times -16\times 12}}{-32}x=

−32

−143±

(143)

2

−4×−16×12

x = \frac{-143\pm \sqrt{20449 + 7744}}{-32}x=

−32

−143±

20449+7744

\implies x = -0.778\text{ or }x=9.716⟹x=−0.778 or x=9.716

∵ Time can not be negative,

So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.

Step-by-step explanation:

그것이 당신에게 도움이되기를 바랍니다 :)

Answer:

Step-by-step explanation:

5/8 divided by 3/8 is the same as 5/8 x 8/3 = 40/24 = 1 2/3

Answer: 12/3

Step-by-step explanation:

The exact value of the expression tan 15 + tan 30 / (1 - tan 150 tan 30) is 2/3.

The expression tan 15 + tan 30 / (1 - tan 150 tan 30) can be simplified by expressing each term in terms of sine and cosine functions.

First, let's express tan 15 in terms of sine and cosine. We can use the formula for the tangent of the sum of two angles:

tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

In this case, A = 15 and B = 30. Plugging in these values, we have:

tan(15 + 30) = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Simplifying the right side, we get:

tan(45) = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Since tan 45 equals 1, we have:

1 = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Next, let's express tan 30 in terms of sine and cosine. We know that tan 30 equals sin 30 / cos 30. Since sin 30 equals 1/2 and cos 30 equals √3/2, we have:

tan 30 = (1/2) / (√3/2) = 1 / √3

Now, let's express tan 150 in terms of sine and cosine. We know that tan 150 equals sin 150 / cos 150.

Since sin 150 equals 1/2 and cos 150 equals -√3/2, we have:

tan 150 = (1/2) / (-√3/2) = -1 / √3

Now, we can substitute these values back into the expression:

1 = (tan 15 + 1 / √3) / (1 - (-1 / √3) * (1 / √3))

Simplifying further:

1 = (tan 15 + 1 / √3) / (1 + 1 / 3)

Multiplying both sides by 3 to eliminate the fraction:

3 = 3(tan 15 + 1 / √3)

3 = 3tan 15 + 1

Subtracting 1 from both sides:

2 = 3tan 15

Finally, dividing both sides by 3:

2/3 = tan 15

So, the exact value of the expression tan 15 + tan 30 / (1 - tan 150 tan 30) is 2/3.

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Answer:

I'm not sure if i'm doing this right, but I got 75

Step-by-step explanation:

(5-2)5*5^1 =  75

Hello!

3.7x-15.9=3.7

why is 3.7:

3.7x to power 1+1

3.7x to power 0

3.7 * 1

=3.7

Answer:

A = 120 cm²

Step-by-step explanation:

The area of the trapezoid is given by :

\(A=\text{sum of parelllel sides}\times \text{height}\)

Two parallel sides = 7cm and 13 xm

Sum of parallel sides = 7 cm + 13 cm

= 20 cm

Height, h = 6 cm

So,

The area of the trapezoid is :

\(A=20\times 6\\\\A=120\ cm^2\)

So, the correct option is (d).

Answer:

1

cant explain it it is too hard to but the answer is 1

Answer:

193 mg

Step-by-step explanation:

Exponential decay formula:

Our known variables are:

Let's solve for the decay constant of this sample.

Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.

Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.

The expected mass of the sample in the year 2011 would be 193 mg.

Answer: Whole thing=20.5

First half (17,18,19,20)=18.5

Second half (21,24,25,27) = 24.5

Step-by-step explanation:

eliminate numbers on both sides till you get to the middle if there is an even number add up the two numbers in the middle and divide them by 2

For example, In the whole thing, you are left with 20 and 21 so

20+21 =41/2= 20.5

For example, In the first part, you are left with 18 and 19 so

18+19 =37/2= 18.5

For example, In the first part, you are left with 24 and 25 so

24+25 =49/2= 24.5

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Step-by-step explanation:

lol wea is the diagram??

Number handshakes in each case

i) 6

ii)10

iii) 55

The formula for the number of handshakes possible at a party with n people is

handshakes = n*(n - 1)/2.

This is because each of the n people can shake hands with n - 1 people (they would not shake their own hand), and the handshake between two people is not counted twice.

Now using the formula for handshake

= n*(n - 1)/2.

i) 5 people at party

=  n*(n - 1)/2.

= 5(5-1) /2

=5 x 4 /2

=10

ii) 4 people at party

=  n*(n - 1)/2.

= 4(4-1) /2

=4 x 3 /2

= 6

iii)  11 people at party

=  n*(n - 1)/2.

= 11(11-1) /2

= 11 x 10 /2

= 55

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Answer:

5x+2=0

Step-by-step explanation:

When factoring you add or subtract your factors that are similar.

For example 9x-4x+ 5x

and this is how you get 5x+2=0

Any Questions?

Answer:5x+2=0

Step-by-step explanation:

Answer:

the full solution is in the picture

d= -3

n= -2

x= -32

what grid ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀

Answer: The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope. y = mx+b is the equation to get slope.

Step-by-step explanation:

Answer: point M

Step-by-step explanation:

Answer: point M

i took the test

The Correct option is Option A. Using hypothesis testing, The probability that Americans have changed their opinion on this issue since 2010 is 0.013.

Hypothesis testing:

Hypothesis testing is a form of statistical testing which uses data from a sample to determine population parameters or population probability distributions.

P stands for probability and measures the likelihood that each observed difference between groups is due to chance.

p-values are computed using the sampling distribution of the test statistic based on the null hypothesis, the sample data, and the type of test performed (bottom-tailed, top-tailed, or two-tailed).

The p-value for the lower tail test is given by: p-value = P(test statistic < observed test statistic | H 0 is true).

We have given that, In 2010 ,

americans favored mandatory testing of students in public schools as a way to rate the school = 73% = 0.73

In this year sample size= 1000

Sample proportion= 72% = 0.72

consider null hypothesis is true means there is a significant change in opinion of people's .

and alternative hypothesis implies there is no change in opinion of public .

Using the sample proportion in both year we see the test statistic value is greater than the observed test statistic value.

So, P -value is obtained about 0.013

and it gives null hypothesis can't be rejected.

Hence, the probability value 0.013 implies that a significant change in opinion of American public in this year since, 2010.

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Complete question :

In 2010 polls indicated that 73% of Americans favored mandatory testing of students in public schools as a way to rate the school. This year in a poll of 1,000 Americans 72% favor mandatory testing for this purpose. Has public opinion changed since 2010? We test the hypothesis that the percentage supporting mandatory testing is less than 73% this year. The p-value is 0.013.

Which of the following interpretation of this p-value is valid?

A) The probability that Americans have changed their opinion on this issue since 2010 is 0.013.

B) There is a 1.3% chance that the null hypothesis is true.

C) If 73% of Americans still favor mandatory testing this year, then there is a 1% chance that poll results will show 72% or fewer with this opinion .

Answer:

midpoint

Step-by-step explanation:

the midpoint divides a segment into two equal parts

Answer:

midpoint of the answer

Step-by-step explanation:

midpoint means middle point. thus the line is divided in 2 equal parts

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

Answer:

The value of x is 8

Step-by-step explanation:

In the given triangle

∵ A line segment joining points on two sides and parallel to the 3rd side

→ That means this line segment divided the two sides into equal ratios

∵ It divided the 1st side into 10 and 3x + 1

∵ It divided the 2nd side into 22 and 7x - 1

∴ \(\frac{10}{3x+1}\) = \(\frac{22}{7x-1}\)

→ By using cross multiplication

∵ 10(7x - 1) = 22(3x + 1)

∴ 10(7x) - 10(1) = 22(3x) + 22(1)

∴ 70x - 10 = 66x + 22

→ Subtract 66x from both sides

∵ 70x - 66x - 10 = 66x - 66x + 22

∴ 4x - 10 = 22

→ Add 10 to both sides

∴ 4x - 10 + 10 = 22 + 10

∴ 4x = 32

→ Divide both sides by 4

∴ x = 8

∴ The value of x is 8

Check the picture below.

Coordinates of point D of parallelogram = (3 , -4)

A parallelogram is quadrilateral in which opposite angles are equal and opposite sides of the quadrilateral are equal and parallel to each other.

The Diagonals in the parallelogram bisect each other.

Given points

A(-4,-6), B(-10, -10), C(-3, -8)

Let the 4th point D = (x , y)

In a parallelogram, diagonals bisect each other.

midpoint of BD = midpoint of AC

If two points are (x₁ , y₁) and (x₂,y₂)

then midpoint = {(x₁+x₂)/2 , (y₁+y₂)/2}

midpoint of AC = {(-4 + -3)/2 , (-6 + -8)/2}

                         = {-7/2 , -7}

midpoint of BD = {(-10 + x)/2 , (-10 + y)/2}

Now,

midpoint of BD = midpoint of AC

{-7/2 , -7} =  {(-10 + x)/2 , (-10 + y)/2}

Comparing both sides

taking x -coordinate

(-10 + x)/2 = -7/2

Multiplying with 2 on both sides

-10 + x = -7

x = 3

taking y -coordinate

(-10 + y)/2 = -7

Multiplying with 2 on both sides

-10 + y = -14

y = -14 + 10

y = -4

Point D (x , y) = (3, -4)

Hence, (3, -4) are the coordinates of point D of parallelogram.

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If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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