Write the probability of getting 2 heads when flipping a coin 2 times. (Write as a reduced fraction)

Answer:

add  11 on both sides

Step-by-step explanation:

to solve this, you want x alone on one side. To achieve this, you first add 11 on both sides, so you only have the 5x alone.
Second step then is something to get only one x on the left side ;-)
(divide both sides by 5)

Answer:

the first step is to get the x term by itself on one side

The quadratic formula is:

We need to equal to zero before using the formula.

Noah's mistake was that he stated c=-5 when c= -9

x = 1.5 or x = -3

Answer:

[tex]32x^7y^{15}[/tex]

Step-by-step explanation:

[tex]x^2 (2xy^3)^5 \\ \\ =x^2(2^5)(x^5)(y^{(3)(5)}) \\ \\ =x^2(32)(x^5)(y^{15}) \\ \\ =32x^7y^{15}[/tex]

The given picture is in the shape of the cuboid

The general expression for the voulme of cuboid is : Length x Breadth x Height

In the given picture of cuboid we have :

Length = 9.6 in

Breadth = 6.75 in

Height = 2 in

So, the volume of given picture is :

To round off to the nearest hunredth : 129.6 will become 129.60

So, the volume of given solid picture is 129.60 in³

Answer : The volume of given solid picture is 129.60 in³

Explanation

We can round to the nearest hundreds of thousands below.

Answer:

Zoo D: 200,000

Zoo E: 900,000

Zoo F: 400,000

The dependent variable of the formula

is x

The correct options are : x = 1.5, side length is 1.6, and side length is 3.9.

We are given a triangle. The vertices of the triangle are P, Q, and R. The lengths of the sides PQ, QR, and RP are "x + 0.1", "x + 2.4", and "3x - 0.6". The triangle is an isosceles triangle. The lengths of the sides RP and QR are equal to each other. So, we can form an equation and find the value of the variable "x".

RP = QR

3x - 0.6 = x + 2.4

2x = 3

x = 1.5

The length of the side PQ is x + 0.1 = 1.5 + 0.1 = 1.6. The length of the side QR is x + 2.4 = 1.5 + 2.4 = 3.9. The length of the side RP is 3x - 0.6 = 3(1.5) - 0.6 = 3.9.

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Given:

The functions are,

h(x) = 4,

g(x) = x²+xsecx

The objective is to find which of the following is not known to be true.

Let's consider option (A).

Thus, option (A) is true.

Let's consider option (B).

Since, the obtiaed answe doesn't matches with the given options.

Hence, option (B) is not true.

To find the circumference using π = 3.14, we can proceed as follows:

1. The formula to find the circumference of a circle is:

2. That is, given the diameter, we can use it directly into the answer, since twice the value of the radius is the diameter of the circle:

If we find the radius as:

And If we use the next formula:

As we can see, in both cases, we found that the value for the circumference is equal to 942 meters (if we use π = 3.14).

In summary, the circumference of a circle that has a diameter of 300 meters is equal to 942 meters (C = 942m) (using π = 3.14).

The perimeter of a polygon is given by the sum of the length of its sides. For the polygon in the picture we have the following side lengths:

Then their sum is:

We can group like terms. Like terms are terms multiplied by the same power of x. In this case we have two groups of like terms: constants and terms multiplied by x. Then we group them:

We can use the distributive property in the terms with x. For example:

We use this and we also add the constants so we get:

Then the answer is that the perimeter of the figure is 18x+44.

This is a simple question to solve.

First, let's focus on the reflection symmetry, What is it?

Having a reflection symmetry means if we split the image in half the left side is identical to the right side. To illustrate better, we have the following picture:

As we can see above, the left side of our shape is identical to the right side, it is like a reflection, so: yes, the image has reflectional symmetry.

Now let's focus on rotational symmetry. A

The formula for finding the area of the unshaded segment is given as

Given the following parameters,

π = 3.14

θ = 80°

r = 5 cm

Substituting,

To find the area of the shaded portion, we would subtract the area of the unshaded segment from the area of the circle.

Area of circle = πr²

Therefore,

The area of the shaded region = 78.5 - 5.1 = 73.4 cm²

Mathi is favored by the greatest i.e 10 students, using percentage

What is percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The % sign is used to denote it.

There are 24 students in Brock's class

10 students say math is their favorite class , 25% say that science is their favorite class and 1/3 prefer reading.

Now you have to find out if more students prefer math or science. Well since the information tells you that 10 students prefer math, you need to find out that 25% of students prefer science and 1/3 prefer reading.

For 1st case, math favorite have 10 students,

For 2nd case, 25% of 24 is 24*25/100

=24*1/4

=6

And for 3rd case, who prefer reading is 1/3rd of students which is 24*1/3

=8

So Most students like math.

Hence,  Mathi is favored by the greatest i.e 10 students.

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In order to determine which of them is the smallest number, let's convert each number into a decimal number.

Upon converting, we can easily that the smallest number is the fourth number which is (-5)^-2.

On the other hand, between the 4 numbers, there are only two rational numbers and these are the 3rd and the 4th number. Between the two, the largest rational number is the 3rd number which is √(1/4) equivalent to 0.5.

Lastly, between the 4 numbers, there are only two irrational numbers and these are the first and the second number. Between the two, the smallest irrational number is √3 which is equivalent to 1.73.

We have the following rectangular garden

The perimeter is 202 feet, we can do the following equality

Now we solve "x"

Now, we know the longer (l = 55) and the width (w = 46)

To find the area we use the following equation

In conclusion, the area of the garden is 2530 square feet

Answer:

1.8-(-3.7)= 5.5

-7.2+4.1= -3.1

-1.5*(-0.2)= 0.3

-2/7÷(-1/4)= 8/7

code: 5.5,(-3.1),0.3,8/7

Given the functions:

Let's determine the transformation that occurred from f(x) to g(x).

Apply the transformation rules for functions.

After a shift d units to theupwards, we have:

Thus, from the given translation, we can see that the function f(x) is translated 4 units to get the function g(x).

Answer:

7.05%

Explanation:

Mr Bernard taxable income = $68,000

Amount paid as social security tax on earnings = $4,794

Let the social security tax rate = x

This gives:

Next, solve for x:

The social security tax rate for that year (to the nearest hundredth of a percent) is 7.05%.

Solve the following system of equations;

The answer is 0 = 24, which is not possible.

Hence, the system of equations has NO SOLUTION

The set of real numbers strictly contains the set of integers.

Every integer is a real number.

But pi is a real number and is not an integer

Hence choice A is correct

First, we need to find the midpoint. We can find it using the following equations:

Where:

So:

Now, we need to find the slope of the line segment:

Since it is the line of the perpendicular bisector:

Using the point-slope equation:

Answer:

we have

Convert mixed number to an improper fraction

5 1/2=5+1/2=11/2

substitute

(11/2):3=11/(3*2)=11/6

convert to mixed number

11/6=6/6+5/6=1+5/6=1 5/6

answer is

11/6 or 1 5/6

To find the perimeter of the regular polygon, that in this case is a pentagon, multiply 5 by the sidelength of the pentagon, it means 5 times 3.

The perimeter of the polygon is 15in

Given

To draw 64ft long house using a 8 inch scale.

Explanation:

Since the unit of inch is smaller than the unit of feet.

Then, by using the 8inches long scale.

Consider, 1 inch is equal to 8ft.

That implies,

Hence,

Give that the nuts weigh 2 whole and a 2/3 pounds, raisins weigh 1 whole and a 5/6 ponds, and the chocolate chips weigh 1 whole 7/8 pounds.

All these ingredients are mixed to obtain the mixture.

Note that this mixture contains the above 3 things in the quantity mentioned. And there is no other stuff in the mixture.

So the weight of the individual ingredients would add up to get the weight of the mixture, therefore the weight of the mixture is calculated as,

Thus, the mixture weigh 6 whole and a 3/8 pounds.

Therefore, option (c) is the correct choice.

Solution:

The graph has a solution (4,-1);

That is, the system of equation must satisfy x=4 as y=-1.

LINE 1 has its y-intercept;

LINE 2 has its y-intercept as;

Thus, the system of equation that satisfy the graph is;

The generalization about the terms is that one is the cube root of the other

∛(8/9) = 2/3

Generalization can be viewed as a statement that holds true for a broad category of objects or numbers, as the method by which we arrive at a general statement, or as a means of transferring information from one context to another in the mathematics.

The equation represented as 8 / 1/3 and 2 / 1/9

is made an equated to each other and rearranged as follows

8 / 1/3 ⇔ 2 / 1/9

cross multiplying

8 * 1/9 ⇔ 2 * 1/3

8/9 ⇔ 2/3

the equation only holds true when the cube root sign is there then we have

∛(8/9) = 2/3

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It is possible to show the relationship between input and output values using a mapping diagram. If there is only one output value associated with each input value, a mapping diagram illustrates a function.

As it is given in the description itself, that mapping diagram shows a function when each input value has a single related output value.

Therefore, it is possible to show the relationship between input and output values using a mapping diagram. If there is only one output value associated with each input value, a mapping diagram illustrates a function.

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ANSWER

The incorrect option is Each side length of the square is 6 units

EXPLANATION

We are given that the perimeter of the square and the equilateral triangle are equal.

The length of the side of the square is 2x.

The perimeter of a square is given as:

P = 4 * L

=> P = 4 * 2x

P(square) = 8x

The length of side of the triangle is given as 3x - 1.5.

The perimeter of an equilateral triangle is given as:

P = 3 * L

=> P = 3 * (3x - 1.5)

P(triangle) = 9x - 4.5

Therefore, since both perimeters are equal:

8x = 9x - 4.5

Collect like terms:

9x - 8x = 4.5

x = 4.5

Now, for the options:

- The value of x is 4.5

- The perimeter of the square is 8 * 4.5 i.e. 36 units.

- Each side length of the square is 2 * 4.5 = 9 units

- Each side length of the triangle is :

3 * 4.5 - 1.5 = 13.5 - 1.5 = 12 units

So, the incorrect option is Each side length of the square is 6 units