X^2-5x-6
X^2+3x-40
X^2+3x-4

Answer:

Angles 2 and 4 are vertical.

Answer:

Angles 2 and 4 are vertical

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)

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Answer:

Step-by-step explanation:

Answer:

The correct answer is B.

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

Find what's 1/8 divided by 3/4 in fraction form?

step 1 Address formula, input parameters & values.

Input parameters & values:

1/8 and 3/4

Step 2: change the problem

Remember, always do KCF(Keep,Change,Flip)

First i keep 1/8

1/8 ÷ 3/4

Then I change the sign to multiplication because you need to need to find the answer and simplified it

1/8 x 3/4

Make sure u always flip the other fraction because you are multiplying

1/8 x 4/3

then you do the rest

Step 3:solve

1/8 x 4/3=4/24

Step 4: simplified

24/4=6

Now your answer is 6

Hope it helps :)

Answer:

So basically its whatever number you have is always going o be positive .

Step-by-step explanation:

To solve this problem, we can set up an integral to find the area of the region s. Let's assume that the line passing through the origin divides the region into two equal parts. We can express this line as y = mx, where m is the slope of the line.

To find the equation that gives the value of m, we can set up an integral that represents the area of one of the two regions. Let's call the area of one of the regions A. Since the line passes through the origin, the boundaries of the integral for this region are 0 and some value of x, which we'll call x0.

The equation for the line is y = mx, so the equation for the curve that defines the upper boundary of this region is y = mx. We can solve for x in terms of y to find the limits of integration for this region:

x = y/m

Since we want to find the area of this region, we can integrate with respect to y:

A = ∫0x0 (x/y) dy

Now we need to set up a similar integral to find the area of the other region. Let's call the area of the other region B. Since the two regions have equal areas, we know that A = B.

The boundaries of the integral for the second region are x0 and some value of x, which we'll call x1. The equation for the line is still y = mx, so the equation for the curve that defines the upper boundary of this region is y = mx. We can solve for x in terms of y again:

x = y/m

And integrate with respect to y:

B = ∫x0x1 (x/y) dy

Now we can set up an equation that equates the two regions:

A = B

∫0x0 (x/y) dy = ∫x0x1 (x/y) dy

We can solve this equation for m:

m = x1/(2x0)

So the equation involving one or more integrals whose solution gives the value of m is:

m = x1/(2x0)

where x0 and x1 are the limits of integration for the two regions. We could solve this equation by finding the value of x1 that satisfies the condition that the two regions have equal areas, given a value of x0. However, we are only asked to write the equation, not solve it.

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We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.

Here, number of sides (n) = 12

So, interior angle sum = (n − 2) × 180°

=> interior angle sum = (12 - 2) × 180°

=> interior angle sum = 10 × 180°

=> interior angle sum = 1800°

So, the interior angle sum of this polygon is 1800°.

The line of reflection is given as follows:

C. y = x.

The coordinates of the original triangle are given as follows:

(-2,5), (0,9) and (3,7).

The coordinates of the reflected triangle are given as follows:

(5,-2), (9,0), (7,3).

We can see that the x-coordinates and the y-coordinates of the vertices were exchanged, hence the reflection rule is given as follows:

(x,y) -> (y,x).

Which represents a reflection over the line y = x, hence the correct option is given by option C.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Using Stokes' Theorem to evaluate the hemisphere x² + y² + z² = 16, z20, oriented upward, none of the answer choices provided (16π, 8πT, 2π, 4πT) are correct

To use Stokes' Theorem to evaluate the given surface integral, we need to compute the curl of the vector field F and then evaluate the resulting curl dot product with the surface normal vector over the given surface.

First, let's calculate the curl of F:

curl F = (dFz/dy - dFy/dz, dFx/dz - dFz/dx, dFy/dx - dFx/dy)

where dFx/dy, dFy/dz, dFz/dx, etc., represent the partial derivatives of the respective components.

Given F = (x²e³², xeºz, 2²ey), we can compute the partial derivatives:

dFx/dy = 0

dFy/dz = 0

dFz/dx = 0

Therefore, the curl of F is (0, 0, 0).

Now, let's evaluate the surface integral using Stokes' Theorem:

∬S curl F · dS = ∮C F · dr

where ∬S represents the surface integral over the hemisphere, ∮C represents the line integral along the boundary curve of the hemisphere, F · dr represents the dot product between F and the differential vector dr, and dS represents the surface element.

Since the curl of F is zero, the surface integral evaluates to zero:

∬S curl F · dS = ∮C F · dr = 0

Therefore, Option d is the correct answer.

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The term "average" in statistics refers to a measure that summarizes the central tendency of a data set. Another term that could be used in place of "average" is "mean.  Average plays a crucial role in statistics as it provides a summary measure of central tendency.

The term "average" in statistics refers to a measure that represents the central tendency of a data set. It is commonly used to summarize and describe the typical value or typical level of a particular variable within a population or sample.

The role of the term "average" is to provide a single value that represents the collective information of the data set. It helps in simplifying and summarizing complex data by providing a measure that is representative of the entire distribution. It allows for comparisons, analysis, and inference based on a single value rather than considering each individual data point.

However, it's important to note that depending on the context and the nature of the data, alternative measures of central tendency may be more appropriate than the "average." For example, if the data set contains outliers or is heavily skewed, the median or mode might be better indicators of the typical value.

In summary, the term "average" plays a crucial role in statistics as it provides a summary measure of central tendency. However, it is important to consider the specific characteristics of the data set and potentially use alternative measures when necessary.

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For all integers a and d, d ⫮ n if, and only if, d is a common divisor of n and a, for any integer a.

The notation d ⫮ n means that d is a common divisor of n, or in other words, both n and a are multiples of d. The statement "d ⫮ n if, and only if, d is a common divisor of n and a, for any integer a" is equivalent to saying that d is a divisor of n, and that any other common divisor of n and a must also be divisible by d.

This property is important in number theory and is often used in proofs involving greatest common divisors (GCD) and least common multiples (LCM). By understanding the relationship between d, n, and a and the idea of common divisors, we can gain insight into the properties of numbers and their factors.

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Step-by-step explanation:

Given the function, f(x) = -3x + 4, you basically need to choose any input (x-value) and substitute those values into the function.

       f(0) = -3(0) + 4

       f(0) = 0 + 4

       f(0) =  4 [this is the value of your final column, in the f(x)].

   2. f( 1 ) = -3( 1 ) + 4, where the input is x = 1.

       f( 1 ) = -3( 1 ) + 4

       f( 1 ) = -3 + 4

       f( 1 ) =  1 [this is the value of your final column, in the f(x)].

   3. f(2) = -3(2) + 4, where the input is x = 2.

       f(2) = -6 + 4

       f(2) = -2 [this is the value of your final column, in the f(x)].

All you need to do is plot the following points on your graph:

{(0, 4), (1, 1), (2, -2)}  

A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes. So the correct option is D.

In the given question we have to find what type of variable is required to construct a confidence interval for a population proportion.

As we know that;

Population proportion is the percentage of the entire population that possesses the given quality (which is qualitative in nature). The confidence interval for the population proportion must thus be constructed using a qualitative variable with two possible outcomes.

So, the correct option is identified from nature of different type of the variables. A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes.

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The right question is:

What type of variable is required to construct a confidence interval for a population proportion?

A. Quantitative

B. Qualitative with any number of possible outcomes

C. Continuous

D. Qualitative with 2 possible outcomes

E. Discrete

F. Qualitative with 3 or more possible outcomes

The number of children who like both pistachio and chocolate ice cream is 73.

Here we have to find at least one kind of ice cream liked by the children.

It is given that the total number of children is 395. The number of children who don't like any ice cream is 170.

So we get the number of students who like one or both the ice cream is 395 - 170 = 225.

Here it is provided that 123 children like pistachio ice cream and 175 children like chocolate ice cream.

So the total number of children who like pistachio and chocolate ice cream is 175+ 123 = 298. Which cannot be greater than 225.

So the number of children who like both ice creams is 298 - 225 = 73.

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The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Answer:

<

Step-by-step explanation:

4th grade math?

4/8 = 1/2 as they are both equivalents to 0.5

3/8 is less than 4/8, there for less than 1/2 (which is the same as 4/8)

Answer:

√730

Step-by-step explanation:

The square root of 730 is already in the simplest radical form. This is because  730 has no square factors, so the square root cannot be simplified.

Answer:

13.5 meters

Step-by-step explanation:

25 / 2 = 13.5

because if a human is 3 meters tall and cast 2 times the length of himself then if a building casts 25 meters then it should be 2 times less than its shadow.

Answer: LX - 13z - 2

Step-by-step explanation:

(3z + 4z)= 7z

LX - 7z - (6z - 2)

LX + -7z + -6z + -2

LX + -13z + -2

= LX - 13z - 2

Answer:

Booker:  $103.50 profit

Finley:  $34.50 profit

Step-by-step explanation:

b = # of candles Booker sold

f = # of candles Finley sold

1)  b = 3f

2) f = b - 12    substitute b=3f into this equation to get an expression all in terms of f, then solve for f

f = 3f - 12

-2f = -12

f = -12/2 = 6    now plug this into either equation and solve for b

b = 3(6) = 18

Booker:  18 candles x $5.75 profit/candle = $103.50 profit

Finley:  6 candles x $5.75 profit/candle = $34.50 profit

The nominal interest rate compounded semi-annually which is equivalent to 2.76% compounded quarterly is 1.37% (rounded to 2 decimal places).

Here, we are supposed to find the nominal interest rate compounded semi-annually which is equivalent to 2.76% compounded quarterly.

The relationship between a nominal interest rate (i) and the effective interest rate (i’), compounded (n) times a year, is given by;

(1 + i/n)^n

= 1 + i’/m(1)

Where m is the number of times interest is compounded per year.

So, we get the effective interest rate that corresponds to 2.76% compounded quarterly as follows;

Let i' be the effective interest rate that corresponds to 2.76% compounded quarterly.

Then; n = 4 and m = 1 (Quarterly compounding period and 1 year is divided into 4 quarters)i’

= (1 + 0.0276/4)^4 - 1

= 0.02806 (Rounded to 5 decimal places)

Now, to calculate the nominal interest rate compounded semi-annually,

we can use Equation (1);(1 + i/2)^2

= 1 + 0.02806i

= [1 + 0.02806]^(1/2) - 1

= 0.01367

≈ 1.37%(Rounded to 2 decimal places)

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Answer: 1

Step-by-step explanation:

4)

\(\displaystyle\\\frac{(sin\theta+cos\theta)^2}{1+2sin\theta cos\theta}=\\\\\frac{sin^2\theta+2sin\theta cos\theta+cos^2\theta}{1+2sin\theta cos\theta} =\\\\\frac{sin^2\theta+cos^2\theta+2sin\theta cos\theta}{1+2sin\theta cos\theta} =\\\\\frac{1+2sin\theta cos\theta}{1+2sin\theta cos\theta} =\\\\1\)

Answer:

The answer is 1

Step-by-step explanation:

The solution is in the image below