A die is thrown. Describe the following events: (i) A: a number less than 7 (ii) B: a number greater than 7 (iii) C: a multiple of 3 (iv) D: a number less than 4. (v) E: an even number greater than 4 (vi) F: a number not less than 3 (vii) find A× (B∩ E), A ∩B, B ∪ C, E ∩ F∩ D. Answer this if u want to be marked as the brainliest!

Answer:

8p+7p+90 =180 (sum of three angles of triangles)

15p= 180-90

15p=90

p=90/15

p= 6

Step-by-step explanation:

Answer:

p=6

Step-by-step explanation:

triangles add up to 180 degrees, and a right angle =90 degrees.

from there, we can do 180-90=90 degrees then do 90/15=6. p =6

(we divide by 15 because 7+8=15)

to check, we see if all angles add up to 180.

7×6=42 8×6=48 right angle=90

42+48+90=180

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

D is your answer

Step-by-step explanation:

Just did it and it was right : )

Also for anyone else who needs the other answers they are as follows:

1. D. \(6x^4\)  then  C. \(3x^4\)

2. B. \(-30x^2 \sqrt{2x}\)  then  C. \(4x^4^3 \sqrt{2x^2}\)

3. D. \(2x\sqrt{10x} - 2x \sqrt{5}\)

4. B. \(32x^2 \sqrt[3]{2x} -8x^3\)

5. A. \(-22\)  then  C. \(4x^4 \sqrt{5} +2x^2 \sqrt{3x} + 4x^3 \sqrt{30} +6x \sqrt{2x}\)

6. B. \(x^\frac{2}{12}* y^\frac{9}{12}\)  then  C. \(\sqrt[12]{x^2*y^9}\)

NC Math 2 -22092x0

Multiplying Radicals

Assignment

Due March 11

Multiplying radicals with like indices.

The solution of the given equation will be 2√5x(√2-1).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The expression will be solved as below:-

= √5x ( √8x² - 2√x)

= √5x ( 2√2x - 2√x)

= √5x(√2-1)(2√x)

= 2√5x(√2-1).

Therefore the solution of the given equation will be 2√5x(√2-1).

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Answer:

the room is -1m by 14m

Step-by-step explanation:

what you do to find it is first find x.

the perimeter is 26, and one side is 15 meters longer than the other(twice).

So the equation is:

x + (x + 15) + x + (x + 15) = 26

2x + 2(x + 15) = 26

2x + 2x + 30 = 26

4x + 30 = 26

26 - 4x = 30

26 - 26 - 4x = 30 - 26

-4x = 4

-4x/-4 = 4/-4

x = -1

Now we have two sides of the room. Now we want the 15m longer ones...

-1 + 15 = 14

so the dimensions are -1 by 14, or -1x14

Hope this helps. if this is the best answer, mark Brainliest.

If not, hope it helps anyway.

Answer: Im sure the answer is b= -5/2

Step-by-step explanation: Decimal form: b= -2.5

Mixed number form is: b= -2 1/2

Ikr schools just the worst- ;-;

Anywayz i hope this helps :D

The present age of the father is 36 and the present age of the son is 12 years.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a father is three times as old as his son. After 4 years, his age will be 4 times his son's age 2 years ago.

Let the present age will be "F" and "S". The equations will be solved as:-

F = 3S

F + 4 = 4 ( S - 2 )

F + 4 = 4S - 8

3S + 4 = 4S - 8

S = 12 years

F = 3S

F = 3 x 12 = 36 years

Therefore, the present age of the father is 36 and the present age of the son is 12 years.

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Answer:

Kyle invested 5,800 at 10% and 5,400 at 7%.

Step-by-step explanation:

Let x be the amount Kyle invests in the 10% account.

0.1x + 0.07(11200 - x) = 958

0.1x + 784 - 0.07x = 958

0.03x = 174

x = 5800

Kyle invests $5,800 at 10% and $5,400 at 7%.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Kyle invests $11200 in two different accounts.

The first account paid 10 %.

The second account paid 7 % in interest.

At the end of the first year,

he had earned $958 in interest.

Let n be the amount Kyle invests in the 10% account.

0.1n + 0.07(11200 - n) = 958

0.1n + 784 - 0.07n = 958

0.03n = 174

n = 5800

Therefore, $5,800 at 10% and $5,400 at 7%.

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Answer:

3 is the slope

Step-by-step explanation:

find 2 crossing areas where the points would be then find how many it goes up.

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

Step-by-step explanation:

To find : The number 18 is a counterexample for which of the following conditional statements?

Solution :

For a conditional statement to be true then it is true for all cases that satisfy the condition.

A counterexample is given to prove a conditional statement false.

Now, Examine all the conditions

A. If a number is divisible by 2, it is even.

18 is even and divisible by 2 - True

B.  If a number is odd, then it is not divisible by 2.

18 is not odd so it is divisible by 2 - True

C. If a number is even, then it ends with 0, 2, 4, 6, or 8.

18 ends with 8 so it is even - True

D. If a number is divisible by 2, then it is also divisible by 4.

18 is divisible by 2 but 18 is not divisible by 4 - False

Therefore, The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

A z-table is also known as the standard normal distribution table. The percentage of the population that would fall in the 10 to 22 mm Hg range is 0.9386.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean and the standard deviation are 16mmHg and 3.2 mmHg, therefore, the percentage of the population whose blood pressure will fall in the range of 10 to 22 mm Hg are,

\(P(10 < x < 22) = P(\dfrac{10-16}{3.2} < Z < \dfrac{22-16}{3.2})\)

\(= P(-1.875 < Z < 1.875)\\\\=P(Z < 1.875)-P(Z < -1.875)\\\\= 0.9693-0.0307\\\\= 0.9386\)

Hence, the percentage of the population that would fall in the 10 to 22 mm Hg range is 0.9386.

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Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

The lines intersect at only one specific point (-5, 9)

The correct answer is: There is one unique solution (-5, 9).

When two straight-line equations intersect at a point, it means that there is one unique solution to the system of equations. In this case, the point of intersection is (-5, 9), which indicates that the system has a single solution. This means that there is a unique set of values for the variables that satisfy both equations simultaneously.

If the system had no solution, it would mean that the two lines are parallel and will never intersect. However, since the lines in the given system intersect at (-5, 9), it implies that there is a solution.

Alternatively, if the system had infinitely many solutions, it would mean that the two equations represent the same line. In this case, the lines intersect at every point along their entire length, resulting in an infinite number of solutions. However, the fact that the lines intersect at only one specific point (-5, 9) indicates that there is one unique solution to the system of equations.

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The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Answer:

20°

Step-by-step explanation:

Solution,

Here,

→(x+20°)+160°=180°[Sum of a straight line is 180°]

→x=180°-180°

→x=0°

Again,

→x+20°

→0°+20°

→20°

Answer:

I have the same problem as you and it told me that it’s 40

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.

Answer:

its A and D dont listen to the other person lol

W

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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Answer:

The exponential function is

\(y = {2}^{x} \)

Answer:

i know its hard on computer

Step-by-step explanation:

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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The measure of angle a is determined as 30 degrees.

The measure of angle a is calculated by applying the following circle theorem as follows;

If line AB is the diameter of the circle, then angle ACB will be equal to 90 degrees.

The value of a is calculated as;

a + 2a = 90 (complementary angles sum up to 90 degrees since angle ACB is equal to 90 degrees)

3a = 90

divide both sides by 3;

3a/3 = 90 / 3

a = 30

Thus, the measure of angle a is calculated by applying the following circle theorem for complementary angles.

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The ages of students in a statistic class is classified as a nominal data.

For the given statistics class, the age of the student is Nominal data in nature.

Hence the ages of students in a statistic class is classified as a nominal data.

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Answer:

Identify the data set's level of measurement.

Ages of students in a statistic class.

The ages of students in a statistic class is identify as a nominal data.

Additional Information :

Levels of measurement

There are 4 levels of measurement, which can be ranked from low to high:

Answer:x=- 17-root 217/12

Step-by-step explanation:

the answer is x=17

Step-by-step explanation:

I just did it

Answer:

The variance for the number of correct answers is 4.5.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the correct answer is guessed, or it is not. Questions are independent of each other, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

\(V(X) = np(1-p)\)

24 questions

This means that \(n = 24\)

Each question has four possible answers one of which is correct

This means that \(p = \frac{1}{4} = 0.25\)

Find the variance for the number of correct answers

\(V(X) = np(1-p) = 24*0.25*0.75 = 4.5\)

The variance for the number of correct answers is 4.5.

Answer:

...

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.−8a2+64a−497+4000a+8

As per the angle sum property, the interior angles that form the triangle is option

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

Angle sum property

Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.

Given,

Here we have the list of interior angles

A. 45, 45, 45*

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

E. 90,90°, 45°

F. 90, 90, 90°

Now, we have to find in which for these angle will form the tringle.

As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.

Based on these we have to verify each of the given interior angles,

A) 45 + 45 + 45 = 135

B. 60 + 60 + 60 = 180

C. 40 + 50 + 90 = 180

D. 30 + 60 + 90 = 180

E. 90 + 90 + 45 = 225

F. 90 + 90 + 90 = 270

Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.

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