Can someone do these 4 questions For 40 points

Answer:

4. x ≥ -1

Step-by-step explanation:

The graph shows a directed line that starts at -1 towards the your right. The full circle indicates that -1 is included among the possible values of x. This means that all possible values of x include -1 and above.

Therefore, we can say x is greater than or equal to -1.

This is represented as:

x ≥ -1

The 2009 world-record pumpkin weighs 779 kilograms more than an average -sized pumpkin.

We are told that In the year 2009, the world's largest pumpkin in weighed 784 kilograms. Thus;

Weight of Largest pumpkin in 2009 = 784 kg

Now we are told that in that same year 2009, an average sized pumpkin weighs 5000 grams. Thus;

Weight of average sized pumpkin in 2009 = 5000 g

Converting gram to kilograms is;

1000 g = 1 kg

Thus; 5000 g = 5 kg

Thus;

Weight of average sized pumpkin in 2009 = 5 kg

Difference in weight between largest pumpkin and average pumpkin in the year 2009 is;

Weight difference = 784 - 5

Weight Difference = 779 kg

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We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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The center of the circle is (13, 2)

The radius of the circle is 9

To find the center and radius of the circle described by the equation:

(x + 13)² + (y + 2)² = 81

We can compare with the standard form of the equation of the circle which is

(x - h)² + (y - k)² = r²

it can be deduced that

-h = 13, h = -13

-k = 2, k = -2

r² = 81, r = 9

This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.

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Answer:

Center = (-13,-2)
Radius = 9

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

9 times

Step-by-step explanation:

Answer:

x = - 22

Step-by-step explanation:

x + 18 = - 4 ( isolate x by subtracting 18 from both sides )

x = - 4 - 18 = - 22

Answer:

x= -22

Step-by-step explanation:

x + 18 = -4

x = -18-4

x = -22

Answer:

It has no square root because it's negative.

Step-by-step explanation:

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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The time required for the sloth to travel an 11.5-meter tree is

171.64 seconds.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A sloth is traveling at its top speed of 0.067 m/s.

∴ The time required for the sloth to travel an 11.5-meter tree is,

= (11.5/0.067) secs.

= 171.64 seconds.

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Answer:

focusing is your key to get this

Step-by-step explanation:

Triangles are congruent if two pairs of corresponding angles and included side pairs are congruent. Triangles are congruent if two pairs of corresponding angles and one pair of disjoint sides are congruent. 

Congruent is a condition in which two or more figures have the same shape and size. If one shape is affixed to another shape, the position is correct and appropriate.

A shape is said to be congruent if it fulfills the following conditions.

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Answer:

3.78x10^5

Step-by-step explanation:

Answer:

Q and R

Step-by-step explanation:

Q = (-5, 6)

R = (-5, -7)

They both have the same x-coordinates.

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

Step-by-step explanation:

48

Answer:

142 sq ft

Step-by-step explanation:

i drew lines to separate into 3 rectangles:

- 4 x 1' rect = 4 sq ft

- 5 x 6' rect = 30 sq ft

- 6* x 18 rect = 108 sq ft

* the 6 comes from 15 - (4 + 5)

total area = 4 + 30 + 108 = 142

Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

Answer:

  a.  False

  b.  True

  c.  True

  d.  True

  e.  False

Step-by-step explanation:

You want to know the truth value of various logical expressions when b = False, and x = 0.

An And (&&) expression is true if and only if all parts are true. An OR (||) expression is true if any part is true.

When 'b' is false, b&&__ will be false, and !b||__ will be true. This makes (a) and (e) false, and (d) true.

When x = 0, __||x==0 will be true, so (b) is true.

The And (&&) of expression (c) will only be true when both parts are true. For b = False and x = 0, both parts are true, so (c) is true.

   {a, b, c, d, e} = {False, True, True, True, False}

Answer:

2

Step-by-step explanation:

Trace the a line from -4 on the x axis to the graph and then trace the graph to the y-axis

Answer:

2

Step-by-step explanation:

Trace the a line from -4 on the x axis to the graph and then trace the graph to the y-axis

Answer:

Step-by-step explanation:

The probability of A or B occurring is the sum of the probabilities of A and B occurring, since they are mutually exclusive events.

Mutually exclusive events are events that cannot occur at the same time. In other words, if one event occurs, the other event cannot occur.

Therefore, the probability of A or B is:

P(A or B) = P(A) + P(B)

P(A or B) = 0.03 + 0.34

P(A or B) = 0.37

So, the probability of A or B is 0.37.

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Answer:

The scale factor is a proportional relationship.   The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship. Enlargements have a scale factor greater than 1.  Reductions have a scale factor between 0 and 1. The proportion should be preserved.

Hope this Helps!

Answer:

40

Step-by-step explanation:

8 muffins=1 cup of flour.

8 muffins × 5 cups = 40

In 5 cups of flour 40 muffins can be made.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A recipe for 24 muffins needs 3 cups of flour.

So, in cup of flour the number of muffins can be made

= 24/3

= 8 muffins

and, In 5 cups of flour the number of muffins can be made

= 8 x 5

= 40 muffins

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Answer:

x = -9

Step-by-step explanation:

hope this was helpful!! c:

Answer:

x= -9

Step-by-step explanation:

9x/9= -81/9

x= -9

Therefore , the solution of the given problem of probability comes out to be the required probability is 0.05 or 1/20 and the correct option is c.

Probability theory is an area of mathematics that focuses on calculating the probability that a claim is valid or that a specific event will occur. Chance can be represented by any number between zero and 1, where range 1 is typically used to convey certainty and 0 is frequently used to denote possibility. The probability that a specific event will occur is displayed in a probability diagram.

Here,

The probability of randomly selecting an umbrella and a shaving kit in that order is equal to the probability of selecting an umbrella (with probability 1/5) multiplied by the probability of selecting a shaving kit from the remaining gifts (with probability 1/4,

since one gift has already been chosen and removed from consideration).

Therefore, the probability of selecting an umbrella and a shaving kit in that order is:

=>(1/5) x (1/4) = 1/20 or 0.05

So if you purchased Allure, the probability of randomly selecting an umbrella and a shaving kit in that order as your two free gifts is 1/20 or 0.05.

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The probability that a randomly selected adult owns exactly 4 cars is 0.05 and the mean of X is 1.15.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

Let X be the number of cars owned by an adult living in the USA.

Consider, the following table

    x        p(x)              x'P(X)            xP'(X)

   0          0.25              0                    0

   1           0.50             0.5                 0.5

  2          0.15              0.3                 0.6

   3           0.05            0.15                0.45

   4           0.05            0.2                  0.8

  Sum         1                 1.15                 2.35    

Since,

Mean = μ =  Σ X*P(X)

                = 0*(0.25) + 1*(0.50) + 2*(0.15) + 3*(0.05) + 4*(0.05)

                = 0 + 0.50 + 0.30 + 0.15 + 0.2

             μ = 1.15  

Hence, the probability that a randomly selected adult owns exactly 4 cars is 0.05 and the mean of X is 1.15.

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Answer:

In one in. there is 10 mm

Answer:

The answer is 10 mm

Step-by-step explanation:

it takes 10 mm to make 1 cm

-TheUnknownScientist 72

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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