THE ANSWER IS A & B!! Select the two values of x that are roots of this equation. x25x+3=0 A. x = B. D. X = X = X = 5+√13 2 5+√37 2 5-13 2 5-√37​

According to given information, x is 7.5 to the nearest tenth.

What is Triangle?

In geometry, a triangle is a two-dimensional closed shape with three straight sides and three angles. It is formed by connecting three non-collinear points with line segments. The three points of a triangle are called its vertices, and the line segments connecting them are called its sides.

If triangles ABC and DEF are congruent, then their corresponding sides are equal in length. Therefore, we have:

AB = DE = 41

BC = EF = 23

AC = DF = 36

We are given that BC = 4x - 7, so we can set up the following equation:

4x - 7 = BC = EF = 23

Solving for x, we get:

4x = 30

x = 7.5

Therefore, according to given information x is 7.5 to the nearest tenth.

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Answer:

. 1.75x+7.50 ≥ 100

Step-by-step explanation:

There are only one solution  x= 1/2 in the expression.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\

Given that;

The expression is,

⇒ 8x - 4 = 3 - 6x

Now, We can simplify the expression as;

⇒ 8x - 4 = 3 - 6x

Add 6x both side,

⇒ 8x + 6x - 4 = 3 - 6x + 6x

⇒ 14x - 4 = 3

Add 4 both side,

⇒ 14x - 4 + 4 = 3 + 4

⇒ 14x = 7

Divide by 14;

⇒ x = 7/14

⇒ x = 1/2

Thus, There are only one solution  x= 1/2 in the expression.

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Answer:

Step-by-step explanation:

Therefore, 12 minutes of play awards 4.5 points.

The constant of proportionality is 1/4, which means that for every minute of play, 1/4 point is awarded and 5 points are awarded for 20 minutes of play.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that for every 4 minutes of play, 1/2 point is awarded.

For every 12 minutes of play, 1 1/2 points are awarded.

We can set up a proportion to find the constant of proportionality:

(1/2 point) / (4 minutes) = (3/2 points) / (12 minutes)

Simplifying the left side, we get:

1/8 = (3/2 points) / (12 minutes)

Multiplying both sides by 12, we get:

1.5 = (3/2)P

P = (1.5) x (2/3) = 1

Therefore, the constant of proportionality is 1/4, which means that for every minute of play, 1/4 point is awarded.

By constant of proportionality, the equation that represents the relationship between the number of points awarded and the amount of time played:

P = (1/4)t

To find the number of points awarded for 20 minutes of play, we can use the equation P = (1/4)t:

P = (1/4)(20)

= 5

Hence, the constant of proportionality is 1/4, which means that for every minute of play, 1/4 point is awarded and 5 points are awarded for 20 minutes of play.

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Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.

It is founded on the likelihood that something will occur. The rationale for probability is the central tenet of theoretical probability. For instance, there is a 12% chance that a coin will land on its head when flipped.

There are five possible ways to obtain a sum of 4 with two 6-sided dice: {(1,3),(2,2),(3,1),(2,1),(1,2)}.

Out of these five possible outcomes, there is only one outcome where neither of the dice show a 2, which is {(1,3)}.

Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.

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The probability that at least one of a pair of fair 6-sided dice shows the number 2, given that the sum of the dice is 4 is 1/3.

The measure of the likelihood or chance of an event occurring is known as Probability. It is a quantitative measure that ranges from 0 (indicating an impossible event) to 1 (indicating a certain event).

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation or experiment. Probability theory is a branch of mathematics that deals with the study of random events, and it is widely used in many fields such as statistics, physics, economics, finance, and more.

If the sum of the dice is 4, then the possible pairs are (1, 3), (2, 2), and (3, 1). Out of these three pairs, only one has at least one die showing the number 2, which is (2, 2).

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The actual amount the salesman pays for an article with a marked price of N950.00 is N2,312.50.

Amount is a word used to refer to a quantity or amount of something. It can also be used to refer to the total sum of money, goods, or services due for payment or exchange. It can also refer to the balance of money or goods due for payment or exchange. Amount is also used to refer to the size, extent, or magnitude of something.

To calculate this amount, we first need to calculate the amount of discount the salesman is offering. This is calculated by taking the marked price and multiplying it by the discount percentage: N950.00 x 125% = N1,187.50. Then, we subtract this discount amount from the marked price: N950.00 - N1,187.50 = N2,312.50. This is the actual amount the salesman pays for the article.

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The expression in terms of cosine is (1 - cos^2(x))^2

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

sin^4(x)

This can be expressed as

sin^4(x) = (sin^2(x))^2

As a general rule:

sin^2(x) = 1 - cos^2(x)

Using the above as a guide, we have the following equation

sin^4(x) = (1 - cos^2(x))^2

Hence, the solution is (1 - cos^2(x))^2

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Answer:

False.

Step-by-step explanation:

The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).

First simplify the equation:

f(x) = [tex]-4x^3[/tex]

Then find the intervals:

Increasing -∞<x<0, Decreasing 0>x>∞

Plug x = 0 into [tex]-x^4[/tex]+3: 3

Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)

Answer:1 in 3 chance

Step-by-step explanation:

There are 5 green, 3 blue, and 7 red. Add them up 5+3+7=15
Then you put it into a fraction [tex]\frac{5}{15} =\frac{1}{3} \\[/tex]
1 over 3 is your answer

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \color{gray}{ \bigstar} \blue {\boxed{ \rm{ \green{Volume \: of \: Pyramid = \frac{1}{3} Bh}}}}[/tex]

[tex] \: [/tex]

[tex] \rm{Volume \: of \: Pyramid = \frac{1}{3} Bh} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\rm \: = \frac{1}{3} \times 75 \times 7.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = \frac{1} {\cancel{3} }\times \cancel{555 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline\color{darkgreen}\boxed{ \rm{ = 185}}[/tex]

[tex] \: [/tex]

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hope it helps! :)

The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation is $6,750.

Straight-line depreciation is calculated by dividing a fixed asset's depreciable base by its useful life. The depreciable base is the difference between an asset's all-in costs and the estimated salvage value at the end of its useful life.

By using the straight-line method of calculating depreciation, the annual depreciation expense would be calculated as follows:

= (Purchase Price - Salvage Value) / Useful Life

= ($60,000 - $6,000) / 8 years

= $54,000 / 8 years

= $6,750.

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Answer:

2/5

Step-by-step explanation:

So if you were to half that the bottom stays the same but the top you divide by two which 4 divided by 2 is 2 so you would need 2/5 cup of flour for your new recipe.

Answer:

$85.00

Step-by-step explanation:

Let's first subtract the cost of the parts from the total to find the cost of the labor:

Cost of labor = Total cost - Cost of parts

Cost of labor = $576.50 - $109

Cost of labor = $467.50

We know that the technician worked for 5.5 hours, so we can find the cost of labor per hour by dividing the cost of labor by the number of hours:

Cost of labor per hour = Cost of labor / Number of hours

Cost of labor per hour = $467.50 / 5.5

Cost of labor per hour = $85

Therefore, the cost of labor per hour is $85.

Answer:27

6574

Step-by-step explanation:

Answer:

2x+12<22

Step-by-step explanation:

Bc I got it correct

(WORLD STATIONARY)

this is as 100÷25=4 so 2.25×4=£9

but

10×2=20 as buy 1 get 1 free

so

100÷20=5

1.75×5=£8.75

so it's cheaper

As a result, the usual professional basketball player makes 125000 times more than the typical American worker.

Mathematicians use the unitary method to tackle proportionality-related issues. Finding the value of one unit of a quantity and then using that value to determine the value of another quantity is what this process entails. The unitary technique, for instance, can be used to calculate how far a car will travel on 5 gallons of gas if it travels 40 miles on 2 gallons. We start by determining the price of one unit of gasoline: 2 gallons of fuel equals 20 miles per gallon, while 1 gallon of gasoline travels 40 miles. The distance the car will drive on 5 gallons of gasoline can then be calculated using this value:

given

The query does not include information on the typical wage of a professional basketball player. Let's say the average wage for a professional basketball player in the NBA is $5x106 per year.

We divide the salary of the basketball player by the salary of the worker to determine how many times higher the typical professional basketball player's salary is than the average American worker's salary:

$5x10^6 / $4x10^4 = $125000 / $1 = 125000

As a result, the usual professional basketball player makes 125000 times more than the typical American worker.

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You therefore paid $21.26 to travel to the beach.

One mile is 5,280 feet long. To determine how many steps this should require walking a mile, simply split 5,280 feet by the length of your typical stride. For instance, if your typical stride is 2 feet, walking a mile will need 2,640 steps.

a) We must divide the total amount of miles travelled by the quantity of gas consumed in order to compute mpg (miles per gallon). If 141 miles are covered by 3/8 of a tank, we may calculate the tank's total capacity as follows:

18 gallons = 8/8 tank (full tank)

So, 3/8 tank = (3/8) x 18 = 6.75 gallons

Therefore, the mpg is:

mpg = distance traveled ÷ gas used

mpg = 141 miles ÷ 6.75 gallons

mpg = 20.89 miles per gallon (rounded to two decimal places)

b) The entire amount of gas consumed must be multiplied by the gallon price in order to get the cost of gas. Gas is expensive at:

Cost of gas = gas used x price per gallon

Cost of gas = 6.75 gallons x $3.15/gallon

Cost of gas = $21.26

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The measures of the angles are JKN = 27 degrees and JNK = 126

The complete question is added as an attachment

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

The rectangle

On the rectangle, we have

JKN = NJK

Using the above as a guide, we have the following:

JKN = 27 degrees

Next, we use the sum of angles in a triangle theorem

The sum of angles in a triangle is 180

Mathematically, this is represented as

J + N + K = 180

So, we have the following representation

JNK = 180 - 27 * 2

Evaluate

JNK = 126

Hence, the measure of the angle JNK is 126 degrees

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A spinner which can be use to simulate this probability is shown in figure.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

The weather forecast says there is a 75% chance it will rain later today.

Now, We can simplify the number is,

⇒ 75%

⇒ 75/100

⇒ 3/4

Thus, We can draw A spinner which can be use to simulate this probability as shown in figure.

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Answer:2

Step-by-step explanation:I DONT REALLY GIVE A THING I NEED POINTS.

Answer:

slope = 1/3

Step-by-step explanation:

9x-3y=81

-9x       -9x

3y/3= -9x + 81/3

y = -3x +27

is perpendicular to...

y = 1/3x + 27

The relationship between hours worked and income earned is an example of data that shows a direct and positive correlation. As the number of hours worked increases, so does the amount of money earned. This is a direct correlation because the variables (hours worked and earnings) are positively related; as one variable rises, so does the other. The correlation is positive because the relationship between the variables is directional, i.e., as one variable increases, so does the other.

Answer:

Step-by-step explanation:

An example of data that would show direct and positive correlation is the relationship between the number of hours studied for an exam and the grade received on the exam. As the number of hours studied increases, the grade received on the exam also increases, indicating a direct and positive correlation between the two variables.

Answer:

1.2 mi/hr

Step-by-step explanation:

y=12/x
y=12/10
y=1.2 mi/hr

Answer:

[tex]\huge\boxed{\sf y = 1.2 \ mph}[/tex]

Step-by-step explanation:

[tex]\displaystyle y=\frac{12}{x}[/tex]

Given that, x = 10

So,

[tex]\displaystyle y=\frac{12}{10} \\\\y = 1.2 \ mph\\\\\rule[225]{225}{2}[/tex]

The table that shows a proportional relationship is Table A.

A proportional relationship is a type of relationship between two variables in which the ratio of their values remains constant. In other words, as one variable increases or decreases, the other variable also increases or decreases in proportion to it.

In table A, we see that :

= 150 / 3

= 50

= 200 / 4

= 50

= 250 / 5

= 50

Every single value of y, gives the same value of x so this means that the table shows a proportional relationship.

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The concentration οf hydrοgen ions in a sοlution with pH 2.44 is [tex]2.754\times 10-12 M[/tex]

The pH value is a measure οf the acidity or basicity of a solution. It is defined as the negative lοgarithm (base 10) of the concentration of hydrogen ions (H+) in moles per liter (mol/L) of solutiοn. The pH scale ranges from 0 to 14, where a pH of 7 is considered neutral. Solutions with a pH less than 7 are acidic, while solutiοns with a pH greater than 7 are basic οr alkaline.

a) Given pH = 2.44

We knοw  pH + pOH = 14,

pOH = 14 - 2.44 = 11.56

[tex][H+] = 10^{-pH} = 10^{-2.44} = 3.63\times 10 ^{-3} M[/tex]

[tex][OH-] = 10-pOH = 10-11.56 = 2.754\times 10-12 M[/tex]

b) Given ,pOH = 10.85

and it is knοwn that pH + pOH = 14, thus pH = 14 - 10.85= 3.15

[tex][H+] = 10^{-pH} = 10^{-3.15} = 7.07\times10^{-4 M}[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-10.85} = 1.41\times10^{-11} M[/tex]

c) Given pH = -0.65

and it is knοwn that pH + pOH = 14, thus pOH = 14 +0.65 = 14.65

[tex][H+] = 10^{-pH} = 10^{0.65} = 4.466 M[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-14.65} = 2.23 \times10^{15} M[/tex]

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Complete question:

Calculate the [H+] and [OH-] concentrations for the fοllowing solutions with: (a) pH = 2.44 (b) pOH = 10.85 (c) pH = -0.65

With speed=10 m/s, the rope will hit ground after 3.36 seconds.

Speed is a measure of how fast an object is moving, usually measured in units of distance per unit time, such as meters per second (m/s) or kilometers per hour (km/h). It is a scalar quantity, meaning it only has magnitude and no direction.

Mathematically, speed is defined as the distance an object travels per unit time. The formula for calculating speed is:

Speed = Distance / Time

where Distance is the distance traveled by the object, and Time is the time taken to cover that distance.

here, we have,

Now,

To find when the rope will hit the ground, we can use the kinematic equation:

y = vi * t + (1/2) * a * t²

where:

y = 50 m (the height of the cliff)

vi = 10 m/s (the initial velocity of the rope)

a = 9.8 m/s² (the acceleration due to gravity, acting downward)

t = time it takes for the rope to hit the ground

We can solve for t by setting y=50 and solving for t:

50 = 10t + (1/2) * 9.8 * t²

50 = t(10 + 4.9t)

t = 50/14.9=3.36 s

Therefore, the rope will hit the ground after 3.36 seconds.

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The distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

While travelling from one location to another and back again just multiplying the distance between the two places will give you the total distance travelled when travelling from one spot to another and returning to the beginning position.

The distance from frank's house to john's house = 4/10.

The distance back to Frank's house = 4/10.

Total distance = 4/10 + 4/10

Total distance = 8/10

The distance is thus,

1 - 8/10

Take the LCM:

(10 - 8) / 10

2/10 = 1/5

Hence, the distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

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