Solve for x.
2x² + 4x-1=0
Enter your answers in the boxes.
X =
or x =

Answer:

The data in Set A are skewed left, because the mean is less than the median. The data in set B are symmetrical, because the mean is equal to the median.

Step-by-step explanation:

For prim people, this is the answer I got it right.

The value of x is given as follows:

x = 131º.

An interior angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º.

Hence the measure of the top angle of the bottom triangle is given as follows:

a = 180 - 98

a = 82.

The base angles of the bottom triangle have the same measure, as the triangle is isosceles, hence, considering that the sum of the measures of the internal angles of a triangle is of 180º, their measures are given as follows:

2b + 82 = 180

2b = 98

b = 49.

Considering the vertical angles, the base angles of the top triangle are given as follows:

b = 49.

Hence the value of x is given as follows:

x = 180 - 49

x = 131º.

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On solving the provided question, we can say that in a day, the expression will be  16*24 of 10.9% = 384 od 10.9% = 41.856

In mathematics, it is pοssible to multiply, divide, add, or remove. The construction of an expression is as follows: Expressiοn, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expressiοn (such as addition, subtraction, multiplicatiοn or division etc.) Expressions and phrases can be cοntrasted.

Any mathematical statement with variables, numbers, and an arithmetic οperation between them is called an expression or an algebraic expression. Fοr instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expressiοn, all of which are separated by the arithmetic sign +.

Dr. Drew cοnsumes 16 ounces of a caffeinated beverage first thing in the mοrning

Caffeine wears off at a rate of apprοximately 10.9% an hour.

in a day, the expression will be  16*24 of 10.9% = 384 od 10.9% = 41.856

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The ratio of hours spent at soccer practice to hours spent at a birthday party are 2 for every 3.

What is a ratio?

A ratio is produced by comparing or condensing two related pieces of data. Looking at the reciprocity of the relationship allows us to calculate the number of times one quantity is equal to another. To put it simply, a ratio is a number that can be used to represent one thing as a proportion of another.

We are given that for soccer practice, Sara spends 2 hours and for birthday party, she spends 3 hours.

So, the ratio of hours spent at soccer practice to hours spent at a birthday party is  2 for every 3.

Hence, the ratio is  2 for every 3.

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Question: The table shows how many hours Sara spent at several activities one Saturday.

Activity "Hours

Soccer practice 2

Birthday party 3

Science project 1

What is the ratio of hours spent at soccer practice to hours spent at a birthday party?

Choose 1 answer:

1 for every 2

2 for every 1

2 for every 3

3 for every 2

Vertices :

Edges:

Step-by-step explanation: A vertex is a corner on shape. And edge is a line segment between faces. A face is singular flat surface.

Answer:

**DUE TOMORROW, NEED ANSWER ASAP**

NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).

a.) An ultraviolet telescope in space

b.) An optical telescope in a remote location in Michigan's upper peninsula

c.) A radio telescope in the Mojave desert in Arizona

d.) An x-ray telescope in the Andes mountains in Chile

e.) An optical telescope in space

Step-by-step explanation:

All possible numbers that are co-primes with the following numbers are mentioned below in detail. The possible co-primes of 390 are 1, 7, 11, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.

Co-prime numbers are pairs of numbers that only share the factor 1 in common. They are additionally referred to as reasonably prime numbers.

In the given question,

(a) 390

The prime factors of 390 are 2, 3, 5, and 13. All of the numbers that are co-prime with 390 are those that do not share any of these prime factors. This includes the numbers 1, 7, 11, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.

(b) 210

The prime factors of 210 are 2, 3, 5, and 7. All of the numbers that are co-prime with 210 are those that do not share any of these prime factors. This includes the numbers 1, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, and 49.

(c) 49335

The prime factors of 49335 are 5, 7, 11, and 13. All of the numbers that are co-prime with 49335 are those that do not share any of these prime factors. This includes the numbers 1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 33, 34, 36, 38, 39, 40, 42, 44, 45, 46, 48, and 49.

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Answer:

Let's call the length of side 1 "x". Then, the length of side 2 is 2x, and the length of side 3 is x + 4. So, the expression for the three sides of the triangle can be represented as:

x + 2x + (x + 4) = 3x + 4

This expression represents the sum of the lengths of all three sides of the triangle.

Step-by-step explanation:

Answer: x+2x+(4+x)

Step-by-step explanation:

since side one is unknown, we can substitute it with variable x, and side two is twice as much as side one so we do 2x, and side three is four cm longer than side one so we do 4+x at the end

Answer: Parallelogram angles add up to 360, so use angle properties and known measures.

Step-by-step explanation:

26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of 676,000,000 license plates.

(1) 26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of

26 x 26 x 10 x 10 x 10 x 10 = 676,000,000 license plates.

(2) The number of possible license plates where the digits must be different is the number of permutations of 10 items taken 4 at a time, or 10P4 = 5040. Multiplying by 26 x 26 gives a total of

5040 x 26 x 26 = 3,636,160 possible license plates.

(3) To find the number of license plates that begin with "A" and don't have a 7, we first find the number of license plates that start with "A" and don't have any restriction on the last 4 digits. This is

26 x 10 x 10 x 10 x 10 = 676,000

Then, we find the number of license plates that have a 7, which is

9 x 26 x 10 x 10 = 23,760

Subtracting this from the total number of license plates that start with "A" gives us

676,000 - 23,760 = 652,240 possible license plates.

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The degree of the term with the greatest degree is called the degree of the polynomial.

Here, it is necessary to remember that, by the definition, we can find the "Degree of a polynomial" by identifying the greatest degree of its terms.

The "Leading term" of a polynomial is defined mostly as the term with the highest power of the variable of the polynomial.

The numbers located in front to the variable (those numbers that multiply the variable) are called "Coefficients". The coefficient of the Leading term is known as the "Leading coefficient."

For example, given the following polynomial:

18x² + 2x - 6

You can identify that, in this case:

degree of the polynomial: 2

leading term: 18x²

leading coefficient: 18

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Answer:

see explanation

Step-by-step explanation:

(a)

given m varies directly as n then the equation relating them is

m = kn ← k is the constant of variation

to find k use the condition m = 14 when n = 7

14 = 7k ( divide both sides by 7 )

2 = k

m = 2n ← equation of variation

(b)

when n = 16 , then

m = 2 × 16 = 32

(c)

when m = 30 , then

30 = 2n ( divide both sides by 2 )

15 = n

Answer: Let's call the side length of the square pool "s". We know that the area of a square is equal to the length of one side squared, so we can set up an equation:

s^2 = 144

We can solve for s by taking the square root of both sides:

s = sqrt(144) = 12

So the side length of the pool is 12 feet.

The outside perimeter of the deck is equal to the perimeter of the square pool plus the width of the deck on each side (7 feet). So the outside perimeter is:

12 + 7 + 7 + 12 + 7 + 7 = 52 feet

So the outside perimeter of the deck is 52 feet.

Step-by-step explanation:

Answer: 52 feet

Step-by-step explanation:

First, we know this is a square. So, if the area is 144, square root of 144 is 12 (12 * 12 = 144)

Adding a width of 7 feet to each side means that we can add 12+12+7+7+7+7.

52 feet!

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Hope this helps.

MM4343

The solution of the system of equations is (5, 2).

Here we want to solve the system of equations:

-3x + y = -13

4x - 2y = 16

By the elimination method.

If we take the first equation and we multiply it by 2, we will get:

2*(-3x + y) = 2*-13

-6x + 2y = -26

Now we can add the two equations to get:

(-6x + 2y) + (4x - 2y) = -26 + 16

-2x = -10

x = -10/-2

x = 5

And the value of y is given by evaluating one of the equations in x = 5, using the first one.

-3*5 + y = -13

-15 + y = -13

y = 15 - 13 = 2

The solution is (5, 2)

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Option C, 36/3 square units, is equivalent to this answer, so that is the correct choice

What is a formula of area of triangle?

To calculate the area of a triangle, use the formula area = 1/2 * base * height.

To find the area of triangle ABC, we can use the formula:

Area = (1/2) * base * height

where the base and height are the dimensions of the triangle that form a right angle.

In this case, we don't have the dimensions of the triangle that form a right angle, but we know that the triangle has two angles that are 60 degrees each. This tells us that the triangle is an equilateral triangle, and all three sides are equal.

Let's call the length of each side "s". Then, we can use the formula for the area of an equilateral triangle:

[tex]Area = (\sqrt(3)/4) * s^2[/tex]

Plugging in the given value of 12 for s, we get:

[tex]Area = (\sqrt{(3)/4) * 12^2}\\\\ Area \ = (\sqrt{(3)/4) * 144} \\\\Area = 36\sqrt{(3)}[/tex]

Therefore, the area of triangle ABC is [tex]36\sqrt(3)[/tex] square units.

Option C, 36/3 square units, is equivalent to this answer, so that is the correct choice.

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Answer:

5 Minutes and 56 Seconds

Step-by-step explanation:

Manjit= 1 Minute and 32.4 Seconds

Pierre = 1 Minute and 26.7 Seconds

Safia = 1 Minute and 25.1 Seconds

Chen = 1 Minute and 31.8 Seconds

4 X 1 Minute = 4 Minutes

32.4 + 26.7 +25.1 +31.8 = 116 or 1 Minute and 56 Seconds

Therefore, the answer is 5 Minutes and 56 Seconds

Answer:a=3, d=common difference=3, a2=7, a3=9

Step-by-step explanation:

firstly we have given a,d  (using the arithmetic progression formula)

                                          (  an=a+(n-1) )

so we have made a sequence a2=a+d=7  

                                                   a3=a+2d=9

The complete question:

A carpet is laid on a rectangular floor of length 12m and breadth 8m. This leaves a margin of width 1m round the carpet. What is the area of the carpet?

Solution:

The area of the carpet laid on a rectangular floor of length 12m and breadth 8m is, 56 meter²

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

The area of the carpet can be calculated by subtracting the area of the margin from the total area of the rectangular floor.

The total area of the floor is:

= 12m x 8m

= 96 square meters.

The area of the margin is:

= 2 x (12m + 8m) x 1m

= 40m.

Therefore, the area of the carpet is:

= 96m² - 40m²

= 56 meter²

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The probability that the player takes exactly 5 shots before missing one is approximately 0.0539, or 5.39%.

The probability of missing a free throw shot is 0.12, and the probability of making a free throw shot is 0.88 (which is 1 - 0.12).

To find the probability that the player takes exactly 5 shots before missing one, we can use the geometric distribution, which models the number of independent and identical Bernoulli trials needed to get a success.

In this case, a "success" is missing a free throw shot, and the "trials" are the number of shots the player takes before missing one. The probability of success (missing a shot) is p = 0.12, and the probability of failure (making a shot) is q = 0.88. The probability of taking exactly 5 shots before missing one is:

P(X = 5) = q^4 * p

where X is the random variable representing the number of shots the player takes before missing one.

Plugging in the values, we get:

P(X = 5) = (0.88)^4 * 0.12

= 0.0539

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a) The histogram for the data is illustrated below.

b) The cumulative percentage polygon is define in the histogram

c) The amount does the monthly electricity cost seem to be concentrated is 128 - 152

A histogram is a graphical representation of a frequency distribution. It consists of a set of bars that represent the frequency of data within certain intervals, also known as bins. The height of each bar represents the frequency or count of data points that fall within that bin.

To create a histogram for the electricity cost data, we need to first decide on the number and size of the bins. One common rule is to choose the number of bins as the square root of the sample size. In this case, we have 50 data points, so we can choose about 7 bins. The size of the bins can be determined by dividing the range of the data by the number of bins.

Once we have determined the number and size of the bins, we can create the histogram by drawing a set of bars with heights proportional to the number of data points that fall within each bin. The histogram can be further enhanced by adding labels for the x and y-axes, a title, and a legend.

As per the histogram, the amount does the monthly electricity cost seem to be concentrated is 128-152

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The S = 37.2^0

Below has been attached a diagram with the meaning of this problem. So we have a right triangle whose Opposite side (s) measures 18.9 and whose Adjacent side (r) measures 24.9. So, these two sides are related in the following form:

[tex]tan(S)=\frac{\text{Opposite side}}{\text{Adjacent side}} =\frac{s}{r} \\\\tan(S)=\frac{18.9}{24.9} \\\\tan(S)=0.76\\\\S=arctan(0.76)\\\\S=37.23^o\\\\\text{Roundding off:}\\\\\boxed{S=37.2^o}[/tex]

Therefore, the S = 37.2^0

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The ordered pair that represent the number of red beads and gold beads is A. D, and E.

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

From the table we observe that the number of red beads and the gold beads are in the proportion x : y = 4 : 3.

Using the proportion we see that:

A: (20, 15) = 20 : 15 = 4 : 3

D: (80,60) = 4: 3

E = (100, 25)= 4:3

Hence, the ordered pair that represent the number of red beads and gold beads is A. D, and E.

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On solving the provided question, we cans ay that inches will evaporate, the equation will be = 12x = 1/2y + 7.43

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

he water evaporates at the rate in a, for 12 hours.

inches will evaporate,

the equation will be = 12x = 1/2y + 7.43

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The people having to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least 1/2 is 5.

X = No of people having same month birth day

We need, P(X 2) ≥ 1/2

= 1-P(X ≤1) ≥ 1/2

1-P(No one having same month birth day) ≥ 1/2

P(No one having same month birth day)≤ 1/2..........................(1)

Now, k = Minimum no of people required to satisfy (1)

P(No one having same month birth day) =

[tex]\frac{11*10*9......*(12-k+1)}{12*12*12......*12}[/tex]

for k= 4

P(No one having same month birth day) =

[tex]\frac{11.10.9}{12.12.12} = 0.572 \geq 0.5[/tex]

for k= 5

P(No one having same month birth day) =

[tex]\frac{11.10.9.8}{12.12.12.12} = 0.38 \leq 0.5[/tex]

Therefore , the people having to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least 1/2 is 5.

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The linear equation that passes through the two given points is:

y = -2x +  4

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Particularly, if a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (-1, 6) and (4, -4), then the slope is:

a = (-4 - 6)/(4 + 1) = -2

y = -2x + b

To find the value of b, we can replace the values of any of the points in the equation, if we use (-1, 6) we will get:

6 = -2*-1 + b

6 = 2 + b

6 - 2 = b = 4

The linear equation is y = -2x +  4

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The equation to represent the situation where the oldest child is 7 years older than the youngest child, using x for the age of the youngest child and y for the age of the oldest child, is y = x + 7.

If we let x represent the age of the youngest child in a family, then we can say that the oldest child is 7 years older than the youngest child. We can represent the age of the oldest child using the expression "x + 7", because if we add 7 to the age of the youngest child, we get the age of the oldest child.

Therefore, we can write an equation to represent this situation by equating the age of the oldest child to the age of the youngest child plus 7. This can be written as:

x + 7 = Oldest child's age

where x is the age of the youngest child, and "Oldest child's age" represents the age of the oldest child in the family. This equation tells us that if we know the age of the youngest child, we can find the age of the oldest child by adding 7 to it.

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Answer:

In 1 hour run:

4 4/5 miles

Step-by-step explanation:

2 4/5 = 2 + 4/5 = 10/5 + 4/5 = (10+4)/5 = 14/5

Proportions:

14/5 miles ⇒ 7/12 hour

A miles ⇒ 1 hour

A = (14/5 miles)(1hour) / (7/12 hour)

A = (14/5)/(7/12)

A = (14*12) / (5*7)

A = 168 / 35

A =  140/35 + 28/35

A = 4 + 28/35

A = 4 + 4/5

A = 4 4/5 Miles

The equation solved for m is written as:

(y - b)/x = m

Here we have a general linear equation:

y = m*x + b

And we want to solve the equation for m, this means that we need to isolate the variable m in that equation.

We will get:

y = m*x + b

y - b = m*x

(y - b)/x = m

That is the equation solved for m.

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Answer:

Step-by-step explanation:

42*2/3=84/3=28

The solution to the equation 3x2 - 30x - 72 = 0 is x = -4 and x = -12.

3x2 - 30x - 72 = 0

3x2 - 30x = 72

3x2 - 24x = 90

3x2 - 24x + 18x = 90 + 18x

3x(x - 8) = 108

x(x - 8) = 36

x = 36 or x = 8

x = -12 or x = -4

The equation 3x2 - 30x - 72 = 0is a second-degree polynomial equation with two solutions. To solve this equation, first use the distributive property to factor out 3x from the first two terms. This yields 3x(x - 8) = 108. Then divide both sides of the equation by 3 to get x(x - 8) = 36. From here, use the quadratic formula to solve for x. This yields x = 36 or x = 8. Since the equation was given in terms of x2, the two solutions are x = -12 and x = -4. To confirm this, substitute these values into the original equation and check that it is true.

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