Factor the following
X^2+3x+2
x^2+15x+50
​

Answer:

1.25

Step-by-step explanation:

6x+14x-6x÷4x

10x-8

1.25

Answer:

Step-by-step explanation:

The possible outcomes include 1, 2, 3, etc., up through 25.  This in itself is insufficient to specify who will go first.  There must be some further criteria.

Suppose each player chooses and announces a number from this set by writing it down on a scrap of paper which is placed face-down on the table.  The person who chooses the smaller number goes first.  Or, the person who chooses the larger number goes first.

The possible outcomes are two which are success or failure.

A binomial distribution describes the possible number of times that a particular event will occur in a sequence of observations.

The conditions for the binomial distribution is,

A trial has only two possible outcomes namely success or failure.

There is fixed number п  of identical trials.

The trials of the experiment are independent of each other.

The probability of success remains same for each trial.

The probability mass function of Binomial distribution is,

Step: 1

(1)  The each trial of the binomial experiment consists of two possible outcomes.

The outcomes are success and failures.

Based on the 1st condition of binomial distribution, each trial has contains success or failure. The number of outcomes is 2.

Hint:

Use the conditions of binomial distribution to find the measures of random variable for a binomial experiment of n trials.

Step: 2

(2) By using the conditions of binomial distribution, the random variable measures the number of successes out of n trials.

Explanation:

Based on the 4th condition of binomial distribution, the random variable measures the number of success for n trials.

The possible outcomes are two which are success or failure..

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complete question:

For a binomial experiment, how many outcomes are possible for each trial? what are the possible outcomes?.

if i'm not mistaken, the answer should be square pyramid and rectangular prism.  hope this helps and i apologize if it is incorrect.

Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

Answer:   The first transformation is a. a reflection across m.

The second transformation is b. a rotation about a.

∆ABC is c. congruent to​ ∆A'B"C".

Step-by-step explanation:

In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.

∴ First transformation: Reflection across m.

After that, there is rotation of  ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.

∴ Second transformation : Rotation about A'.

Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.

Therefore, ∆ABC ≅ ∆A'B'C'

∆A'B'C' ≅  ∆A'B"C"

By law of transitivity of congruence,

∆ABC  ≅ ∆A'B"C"

Answer:

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3              Add  3 to both sides

5x + 1 + 3 = 6x -3+3     Combine

5x + 4 = 6x                   Subtract 5x from both sides.

5x-5x+4=6x- 5x            Combine

4 = x

===================

y + 10 = 4y + 2               Subtract y from both sides

y-y+10=4y-y+2               Combine

10 = 3y + 2                      Subtract 2 from both sides

10-2=3y+2-2                   combine

8 = 3y                              Divide by 3

8/3 = y

y = 2.67

====================

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

Answer:

11/2 = 5 1/2

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Applying Pythagoras' identity to the right triangle

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

Answer:

[tex]\large\boxed{7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}=\sqrt[3]{2x}-6\sqrt[3]{x}}[/tex]

Step-by-step explanation:

[tex]7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}\\\\=7\sqrt[3]{2x}-3\sqrt[3]{(8)(2x)}-3\sqrt[3]{8x}\qquad\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=7\sqrt[3]{2x}-3\sqrt[3]8\cdot\sqrt[3]{2x}-3\sqrt[3]8\cdot\sqrt[3]{x}\\\\=7\sqrt[3]{2x}-3(2)\sqrt[3]{2x}-3(2)\sqrt[3]{x}\\\\=7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}\\\\=\sqrt[3]{2x}-6\sqrt[3]{x}[/tex]

Answer:

Hey its (-3,2

Step-by-step explanation:

Answer:

i think -3-2 i hope that helps

Step-by-step explanation:

it;'s -3-2 because its in the same quadrant as the auditorium so it is both nehgative numbers

Answer:

2345 units^2

Step-by-step explanation:

First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2

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0.1675 rounded to the nearest hundredth is 0.17.

When 0.1675 is rounded to nearest hundredth decimal place answer would definetely be

Answer:

A fourth root is a number when multiplied by itself 4 times is equal to the starting number. x^4=Y The fourth root of Y= x

Step-by-step explanation:

Answer:

Radius : 6

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

Radius of a circle whose equation is    [tex]x^{2} +y^{2} =36[/tex] is 6

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.  

Comparing the given equation with the standard equation, we can say,

a² = 36

⇒ a = ± 6

Since a is the radius, the negative value gets rejected.

The radius of the given circle is 6.

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Answer:

-11 yards

Step-by-step explanation:

the first loss is represented by -4 and the second loss is represented by -7.

The sum of negative numbers will be:

(-4) + (-7) = -11

The sum of negative integers representing the football team's loss of yards on two plays is -4 + (-7), which equals -11 yards. This represents the total yardage lost by the team.

To represent the football team's loss of yards with a sum of negative integers, we can write -4 (for the loss of 4 yards on one play) and -7 (for the loss of 7 yards on another play). The sum would therefore be -4 + (-7).

When two negative numbers add, the answer has a negative sign. Using this rule, we calculate the sum:

-4 + (-7) = -4 - 7 = -11

The sum of -11 represents the total yardage lost by the football team over the two plays. The team has lost 11 yards in total.

B is the correct answer.

Answer:

Step-by-step explanation

the answer is 10

The diameter of a circle is 4.005 inches

What is diameter of a circle?

"The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circumference of the circle."

What is circle?

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

We have,

Area of Circle is 12.6 square inches

Formula to find the diameter of a circle

D = [tex]2[/tex]×[tex]\sqrt{\frac{Area of Circle}{\pi } }[/tex]

D = [tex]2[/tex]×[tex]\sqrt{\frac{12.6}{\pi } }[/tex]

D = [tex]2[/tex]×[tex]\sqrt{4.0107}[/tex]

D = [tex]2[/tex]×[tex]2.002[/tex]

D = [tex]4.005[/tex] inches

Hence, the diameter of a circle is 4.005 inches

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Answer:

-2 is the slope

Step-by-step explanation:

To find the slope of the line, we need to solve for y

6x +3y = 12

Subtract 6x from each side

6x-6x +3y = -6x+12

3y = -6x+12

Divide each side by 3

3y/3 = -6x/3 +12/3

y = -2x+4

This is in slope intercept form

y = mx+b   where m is the slope and b is the y intercept

-2 is the slope and 4 is the y intercept

Answer:

Step-by-step explanation:

Only (-3)(-5) = + 15, so the fourth answer is the correct one.

Answer:   [tex]\bold{d.\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} }[/tex]

Step-by-step explanation:

[tex]a)\ \sqrt[3]{-5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15} \\\\b)\ \sqrt[3]{-15}\cdot \sqrt[3]{1} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\c)\ \sqrt[3]{5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\\large{d)\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} =\sqrt[3]{15}= \sqrt[3]{15} }[/tex]

A residual is the space between each data point and the regression line.

Regression lines can graphically show the relationship between the independent (x) and dependent (y) variables in the graph.

Instead of being multiplied, divided, or given as a non-algebraic function, as has been the case up to this point in this section, the terms in a linear model are added. The use of linear modelling enables the analysis of experimental, financial, and biological data as well as the prediction of complex systems.

Linear regression is a statistical method for creating linear models. A dependent variable y (also known as the response) and one or more independent variables Xi are related in the model (called the predictors). A residual is the separation of each data point from the regression line.

The information is ,

Regression lines can be used to visually express the independent (x) and dependent (y) variables in a graph given data.

The regression line is sometimes sometimes referred to as the "line of best fit" since, when drawn across the points, it is the line that fits them the best. The disparity between the anticipated and actual scores is minimized by this line.

And , A residual is the separation of each data point from the regression line.

The gap between data points on a regression line is hence known as the residual.

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the answer is z=3. hope this helps

First you combine like terms together:

6z + 3 -4z =9

(6-4=2)

Now put everything back in its place:

2z + 3= 9

To get the variable (z) by itself, you have to subtract 3 from both sides of the equal sign:

2z + 3 = 9

-3 -3

Now it should be:

2z = 6

Then the final step is to divide by 2 on both sides of the equal sign.

2z = 6

2 2

Your final answer after this should be:

z = 3

Answer:

You printed about 19 prints a day.

Step-by-step explanation:

We need to find the mean of the data set. To do that we add all the numbers and divided by the number of #s.

17 + 21 + 19 + 21 +19 = 97

97 divided by 5 = 19.4

so you did about 19 prints.

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Answer:

16500 gallons

Step-by-step explanation:

Due to:

(1.35)*(10^4) = 13500

then, with the new pool with 3500 gallons, the total volumen will be:

Vt = 13500 + 3500

Vt = 16500 gallons

Best regards

The total volume of all pools at the water park after the new pool is installed is calculated by adding the volume of the new pool to the existing total pool volume. The calculation results in a total volume of 1.385 · 10^4 gallons.

To find the total volume of all the pools after the new pool is installed, we have to add the volume of the new pool to the combined volume of the existing pools. The combined volume of the three existing pools at the park is 1.35 · 10^4 gallons, and the volume of the new pool is 3,500 gallons.

So, the calculation would be: 1.35 · 10^4 gallons + 3,500 gallons.

When you calculate that, you get 1.385 · 10^4 gallons. Thus, the total volume of all the pools at the water park after the new pool is installed will be 1.385 · 10^4 gallons.

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Answer:

The area of shaded region is 226.4 meter squared.

Step-by-step explanation:

Radius of the circle = r =18.6 m

Angle subtended by chord[tex]\theta = 123^o[/tex]

Area of  sector = [tex]\frac{\theta }{360^o}\pi r^2[/tex]

In ΔOAB

∠A+∠B+∠O= 180°

2∠A+123°= 180°(∠A=∠B, isosceles triangle)

∠A=∠B=28.5°

AC=BC (Radius of the circle  bisects the chord at right angle.)...(1)

In ΔOAC

[tex]\sin 123^0=\frac{OC}{OA}[/tex]

OC = 8.87 m

[tex]\cos 123^0=\frac{AC}{OA}[/tex]

AC = 16.34 m

AB = AC+AB=16.34 m+16.34 m=32.68 m (from (1))

Area of the ΔOAB = [tex]\frac{1}{2}\times OC\times AB[/tex]

=[tex]\frac{1}{2}\times 8.87 m\times 32.68 m=144.93 m^2[/tex]

Area of segment = Area of sector - Area of triangle:

[tex]371.34 m^2-144.93 m^2=226.41 m^2\approx 226.4 m^2[/tex]

The area of shaded region is 226.4 meter squared.

A student's question about optimizing spending a $50 gift certificate on books and CDs was addressed by creating a system of inequalities, graphing the possible solutions, explaining why the point (2,6) isn't a solution, and discussing how to almost entirely spend the gift certificate.

Let's address the student's question step by step. Given a $50 gift certificate, a CD costs $9.99 and a book costs $5.99, we need to create a system of inequalities to represent the spending limits with at least one CD purchase (y).

Part A - System of Inequalities

The inequalities can be written as follows:

The total cost of books and CDs must not exceed $50: 5.99x + 9.99y \<= 50

You must buy at least one CD: y \"> or equal to 1

Part B - Graph of the System

Graphing these inequalities will give us a region of possible solutions where any point within that region represents an allowable combination of books (x) and CDs (y).

Part C - Interpretation of the Point (2,6)

The ordered pair (2,6) represents buying 2 books and 6 CDs. To determine if this is a solution, plug the values into the inequalities:

5.99(2) + 9.99(6) = 11.98 + 59.94 = 71.92 which is > 50. So, it's not a solution.

Part D - Maximizing the Gift Certificate

A solution that spends almost all of the gift certificate would be close to the line 5.99x + 9.99y = 50 but does not exceed it. Students would need to find whole number pairs for x and y that satisfy this condition.

Answer:

54 feet per minute or -54 feet per minute

Step-by-step explanation:

You can find the mean change of altitude by dividing -378 by 7, which gives you -54.

Answer:

[tex]\large\boxed{(-1,\ -3)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y<-|x|-1\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(-1,\ -3)\to x=-1,\ y=-3\\-3<-|-1|-1=-1-1=-1\qquad\text{CORRECT :)}\\\\(0,\ 0)\to\ x=0,\ y=0\\0<-|0|-1=-1\qquad\text{FALSE\ :(}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|-1=-1-1=-2\qquad\text{FALSE\ :(}[/tex]

Answer:

781.246435845

Step-by-step explanation:

the answer is d

The answer would be 781 R121.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

Consider a simple example of 6 being divided by 2 gives 3. It can be mathematically written as. 6 ÷ 2 = 3. Here the remainder is 0 as 6 completely divides 2 and the quotient is 3. Dividend = (Divisor × Quotient) + Remainder.

Given:

383,592 ÷ 491

On performing the division is 781.246.

hence, the answer would be 781 R121.

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Answer:

1/10

Step-by-step explanation:

To find the number of red guppies, multiply the fractions.

Gary has 2/5 of his fish collection as guppies. Of the guppies, 1.4 are red.

So 2/5 * 1/4 = 2/20 = 1/10.

Answer:

Step-by-step explanation:

Solve the following system of equations using linear combinations (or the addition method).

4x + 3y = 5

2x - 3y = 7

Answer:

isk

Step-by-step explanation: