You deal a pile of cards, face down, from a standard 52-card deck. What is the least number of cards the pile must have before you can be assured that it contains at least five cards of the same suit

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

Step-by-step explanation:

it a it the one  that makes the most sense

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

B becouse he earns 350 and spends 300 so he is earning 50 extra

Step-by-step explanation:

Answer:

B. DeMarcus earns $350 per week, and his weekly costs are $300.

Step-by-step explanation:

The minimum income necessary for a worker to meet their cost-of-living expenses and to provide some discretionary income.

Therefore, a person earns a living wage if their earnings are greater than their weekly costs.

The only person who earns more than their weekly costs is DeMarcus.

Since DeMarcus earns $350 per week and his weekly costs are $300, his income is enough to meet his basic needs with $50 left over.

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Answer:

C. -4

Step-by-step explanation:

65+79+40+x=180 because sum if angles in a triangle is equal to 180

184+x=180

x=180-184

x=-4

Answer:

3/16 pound

Step-by-step explanation:

hope it helps the picture show how its done

The circumference of a circle is give by:

Plugging the value we have for the circunference we can find the radius:

Now that we have the radius we remember that the area of a circle is:

Plugging the value of r we have that:

Therefore the area of the circle is 78.46

Answer:

the total amount that must be repaid is 8,775.

Step-by-step explanation:

To calculate the total amount that must be repaid, we need to add the original loan amount to the total interest paid over the 5-year period.

First, we can calculate the total interest paid over the 5 years by using the following formula:

Total interest = Principal (loan amount) x Interest rate x Time

Where:

Principal = 6,500

Interest rate = 7% = 0.07 (decimal form)

Time = 5 years

Total interest = 6,500 x 0.07 x 5

Total interest = 2,275

So the total interest paid over the 5 years is 2,275.

Now, we can add the original loan amount to the total interest to get the total amount that must be repaid:

Total amount = Principal + Total interest

Total amount = 6,500 + 2,275

Total amount = 8,775

Therefore, the total amount that must be repaid is 8,775.

Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.

In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.

The general equation of a geometric series is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

In this problem:

The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:

\(a_n = a_1q^{n-1}\)

\(a_4 = 64\left(\frac{1}{2}\right)^{4-1}\)

\(a_4 = 8\)

After 3 rounds, 8 teams are left.

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Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.

Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.

Here,

Beans=12*40

=480

cost of beans=12*5

=$60

Carrot=15*36

=540

cost of carrot=15*7

=$105

Corn=2*50

=100

cost of corn=2*3

=$6

Total seeds=1120

Total cost=$171

Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.

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Answer:

Step-by-step explanation:

\(x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}\)

Answer:

okay information

Step-by-step explanation:

Answer:

the cost of renting the pavilion for 8 hours = $130

Step-by-step explanation:

$50 plus $10 per hour

so 8 hour  = 10 * 8 = $80

$50 + $80 = $130

The ratio of length of DF to length of DE is e + 2f : -3.5e - 7f.

What is ratio?

One can calculate that how much of one quantity is included in the other by comparing the two amounts of the same unit and obtaining the ratio.

We are given that the Length of DE is 3e + 6f and the Length of DF is

-10.5e - 21f.

So, from this, we get the ratio as

⇒3e + 6f : -10.5e - 21f

Now by taking 3 common from both the sides, we get

⇒e + 2f : -3.5e - 7f

Hence, the ratio of length of DF to length of DE is e + 2f : -3.5e - 7f.

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The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new​ wage is 3%.

A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".

Given data:

First, we find 3% of $10.51 to get new wage per hour

= 0.03$ * $10.51

= $0.32

Then, we add this increase to $10.51.

= $10.51 + $0.32

= $10.83

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Answer:

$18,200

Step-by-step explanation:

To solve this, you would need to add 30% back to $14,000. To do that, simply multiply $14,000 by 30%. Remember that we will need to also change 30% into its decimal form (30% -> 0.3). $14,000 x 0.3 = $4,200 To find out how much the car was worth when Maggie first bought it, we simply add $4,200 to $14,000. $14,000 + $4,200 = $18,200

Hope it helps!

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

The solid figure is a triangular prism over an unfolding square-based pyramid labelled Net 1.

Simple representations of solids in three dimensions—height, breadth, and length—are solid shapes.

Solid forms are also referred to as 3D shapes. These large forms take up space and are present everywhere. We make use of, feel, and perceive them.

In mathematics, we examine many shapes and attempt to apply them to real-world problems.

Now let's talk about the characteristics of each solid shape. Solid shapes are categorized using a variety of categories. The solid figure is a triangular prism over an unfolding square-based pyramid labelled Net 1.

Therefore, the solid figure is represented by a triangular prism perched above an unfolding square-based pyramid labelled Net 1.

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Answer:

1,250

Step-by-step explanation:

5 to the 4 power is 50,and 5 to the 2 power is 25 and then Multiply them and that should be your answer

The required number of tubs are 17.55 tubs.

To solve the problem, we need to find the total amount of ice cream used in ounces and then convert it to pounds to find the number of tubs used.

Number of scoops for regular cones = 2 scoops/cone

Number of scoops for large cones = 3 scoops/cone

Total number of scoops of ice cream used for regular cones = 2 scoops/cone x 234 cones = 468 scoops

Total number of scoops of ice cream used for large cones = 3 scoops/cone x 156 cones = 468 scoops

Total number of scoops of ice cream used = 468 scoops + 468 scoops = 936 scoops

Total amount of ice cream used in ounces = 936 scoops x 3 ounces/scoop = 2808 ounces

Total amount of ice cream used in pounds = 2808 ounces / 16 ounces/pound = 175.5 pounds

Number of tubs of ice cream used = 175.5 pounds / 10 pounds/tub = 17.55 tubs

Rounding up to the nearest whole number, we get:

Answer: (C) 17.55 tubs.

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Answer:

52

Step-by-step explanation:

putting the value in their position

To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

Step-by-step explanation:

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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a) The maximum height of the rock is of: 5.50 metres.

b) The time that the rock was in the air is of: 2.12 seconds.

c) The distance which the rock landed is of: 12.72 meters.

The height of the projectile is modeled using a quadratic function, as follows:

y = -4.905t² + v(0)sin(60)ºt + h(0).

The parameters are given as follows:

Considering the values of these parameters, the function is given as follows:

y = -4.905t² + 10.39t.

The coefficients are given as follows:

a = -4.905, b = 10.39, c = 0.

The maximum height is obtained as the y-coordinate of the vertex, as follows:

Hmax = -(10.39² - 4(4.905)(0))/(4(-4.905)) = 5.50.

The rock hits the ground when:

y = 0.

Hence:

-4.905t² + 10.39t = 0

t(-4.905t + 10.39) = 0.

4.905t = 10.39

t = 10.39/4.905

t = 2.12 seconds.

The horizontal distance is given as follows:

x = v(0)cos(60º)t

Hence:

x = 12 x 0.5 x 2.12 = 12.72 meters.

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The tons of carbon emission for the following year is 26 million tons.

From the information, the country of Freedonia has decided to reduce its carbon-dioxide emission by 35 percent each year and in the year given, the country emitted 40 million tons of carbon-dioxide.

The carbon for the next year will be:

= Total carbon emmision - Reduction in emissions

= 40 million - (35% × 40 million)

= 40 million - 14 million

= 26 million

The complete information is given below.

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Complete question

The country of Freedonia has decided to reduce its carbon-dioxide emission by 35 percent each year. This year the country emitted 40 million tons of carbon-dioxide. What is the carbon emission for the next year.

Answer:

c

Step-by-step explanation: