simplify the expression. write your answer without negative exponents. 9x5⁄2 y5 x4 y−3⁄2 −2

(x - 4)(3x + 2) is an expression that is equivalent to 3x² - 10x - 8.

A quadratic equation is one in which the variable is squared in just one term and not in any other term where the variable is raised to a power greater than 2.

Lets take the quadratic equation:  3x² - 10x - 8

First we will multiply 3[tex]x^{2}[/tex] and -8, therefore we will get -24[tex]x^{2}[/tex].

Then we will break -10 x in a way that its terms give a product of -24[tex]x^{2}[/tex] when multiplied, i.e.,  -10x = 12x - 2x

Thus, 3x² - 10x - 8 = 3x² + 12x - 2x - 8

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

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

Hence, (3x - 2)(x + 4) is the correct answer.

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Answer:

i think x+15 would be the correct answer

A matrix A is said to be hermitian if it satisfies the property A = A*

A* Means the conjugate transpose of A

Here

Given that A is a rectangular matrix.

we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*

we will prove that A*A is hermitian:

(AA) = (A*)A = A*A

AA = (AA)

so we can see that it is "AA" indeed hermitian,

Now we will prove that AA* is hermitian

(AA*)* = A*(A*)* = A*A

AA* = (AA*)

AA is indeed hermitian.

given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.

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A matrix A is said to be hermitian if it satisfies the property A = A*

A* Means the conjugate transpose of A

Given that A is a rectangular matrix.

we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*

we will prove that A*A is hermitian:

(AA) = (A*)A = A*A

AA = (AA)

so we can see that it is "AA" indeed hermitian,

Now we will prove that AA* is hermitian

(AA*)* = A*(A*)* = A*A

AA* = (AA*)

AA is indeed hermitian.

given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.

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The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope intercept form of a line is:

y = mx + b

where m is the slope and b is the y intercept

Monique graph passes through (0, 0) and (2, -1). Hence:

y - 0 = [(-1 - 0)/(2 - 0)](x - 0)

y = (-1/2)x

Clarence graph passes through (0, 0) and (2, 1). Hence:

y - 0 = [(1 - 0)/(2 - 0)](x - 0)

y = (1/2)x

Jose graph passes through (0, 1) and (-2, -2). Hence:

y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)

y = 1.5x + 1

Quincy graph passes through (0, -1) and (-2, 2). Hence:

y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)

y = -1.5x - 1

The equation Monique graph is y = (-1/2)x

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After multiplying by 2 in the numerator and denominator both, we can write 3/4 in an equivalent fraction as 6/8.

The equivalent form is the process in which we write the same expression in simple numbers or modified form.

To find the equivalent fraction, divide or multiply by the same number to both the denominator and numerator that is equal to one

For example, Equivalent to 1/2 is 1/2 × 2/2 = 2/4

The fraction number, 3/4

Now, further multiplying and dividing number 2 in  the given fraction number 3/4

⇒ 2 × 3/2 × 4

⇒ 6/8

Hence, the equivalent form is 6/8.

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Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

(a) The work done in pulling the rope to the top of the building is approximately 4800 ft-lb.

(b) The work done in pulling half the rope to the top of the building is approximately 2400 ft-lb.

The work done in pulling the rope to the top of the building can be calculated using a Riemann sum:

Where Δx is a small change in the length of the rope, g is the acceleration due to gravity (32 [tex]ft/s^2[/tex]), and the sum is taken over the entire length of the rope (from 0 to 100 ft).

Expressing the work as an integral, we have:

W=∫ [tex]0^{100} (0.8 lb/ft) x (g) x (x) dx[/tex]

Evaluating this integral gives us the work done in pulling the rope to the top of the building:

[tex]W = (0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=100

W = 4800 ft-lb

(b)To find the work done in pulling half the rope to the top of the building, we simply evaluate the integral from x=0 to x=50 (the length of half the rope).

W = [tex](0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=50

W = 2400 ft-lb.

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The graph of the inequality, 2x + y ≥ 4, is: option 1.

Given the inequality, 2x + y ≥ 4, rewrite in slope-intercept form:

2x + y ≥ 4

y ≥ -2x + 4

Thus, this means that the slope of the graph will be a declining slope of -2, and it will intercept the y-axis at 4.

Also, since the inequality sign is ≥, the shaded region will be above a solid line.

Option 1 has a slope of -2 and is also a solid line having the shaded part above it.

Therefore, the correct graph is option 1.

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Answer:

a=4, b = 12

Step-by-step explanation:

This is a relatively simple question once you break it down. Make two equations based on the rectangles given:

64 = 4b + 4a

56 = 8a + 2b

64 = 4b + 4a => 64 = 4 (b+a) => 16 = b + a

isolate for a variable (any will do I just chose b)

16 - a = b

56 = 8a + 2b => 56 = 2(4a + b) => 28 = 4a + b

isolate for b then plug in equation

28 - 4a = b

16 - a = 28 - 4a

28 - 16 = -a + 4a

12 = 3a

4 = a

16 - a = b

b = 16 - 4

b = 12

Assuming my math is right, this should be your answer

The tip of the second hand of the clock moves a distance as far as 5.2 inches in 10 seconds.

The distance traveled by the tip of the second hand on a clock can be calculated by using the formula for circumference of a circle, which is:

C = 2πr

where C is the circumference, π is approximately equal to 3.14159, and r is the radius.

If the length of the second hand is 5 inches, then the radius of the circle is 5 inches.

Therefore, the circumference of the circle traced by the tip of the second hand is C = 2πr = 2π(5 inches) = 10π = 31.4159

If we assume that the second hand moves at a constant speed, then the distance traveled by the tip in 10 seconds is equal to the circumference of the circle multiplied by the fraction of the circumference covered in 10 seconds.

Since the second hand completes one full revolution in 60 seconds, then in 10 seconds it covers 1/6 of the circumference. Therefore, the distance traveled by the tip in 10 seconds is:

1/6 C = 1/6(31.4159 inches) = 5.23598 inches

Round off to the nearest tenth of an inch.

5.23598 inches = 5.2 inches

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Answer:

second term=14

third=25

fourth=36

Step-by-step explanation:

n= the first term in the sequence+(n-1) times the common difference between terms

here n=3, because you asking for third term, so is 25

second term=14

third=25

fourth=36

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thank

Answer:

Step-by-step explanation:

the this it the r po ggr

C= the total cost

9= the cost of each shirt

45= could be some other variable (donation, how much they have so far, etc.)

Answer:

First choice

Step-by-step explanation:

The graph appears to show the time and the distance a motorcycle is from a house.

By inspection of the graph we can say that the first two hours the position of the motorcycle steadily moves away from the house. Then for the duration of 1 hour(hour2-hour3) the motorcycle moves closer to the house. Finally the motorcycle's position for an hour does not change meaning that the motorcyle has not moved for the duration of another hour.

So the motorcycle moves away from the house for two hours. Then it moves back towards the house for an hour. Finally it parks for an hour. This corresponds to the first answer choice.

Answer:

x = 3

Step-by-step explanation:

x = -1

7(3^(‐1 - 1)) <= 4^-1

7(3^-2) <= 1/4

7/9 <= 1/4

no, wrong.

x = 2

7(3^(2 ‐ 1)) <= 4²

7(3¹) <= 16

21 <= 16

no, wrong.

x = 3

7(3^(3 - 1)) <= 4³

7(3²) <= 64

7×9 <= 64

63 <= 64 correct

so, 3 is the correct answer.

Answer:

Step-by-step explanation:

its 18 ღ

The area of the rectangle is 36.83 m² and perimeter is 25.42 m

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, you design a tree house using a coordinate plane in which the coordinates are measured in meters. The vertices of the rectangular floor are (0,5), (4,3), (4,13) and (8,11).

We know that, distance between two points is = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_1)^2}[/tex]

Distance between (0,5) and (4,3) = [tex]\sqrt{(4-0)^2+(3-5)^2}[/tex]

= [tex]\sqrt{16+4}[/tex]

= 4.47 m

Distance between (4, 3) and (8, 11) = [tex]\sqrt{(8-4)^2+(11-3)^2}[/tex]

= [tex]\sqrt{4+64}[/tex]

= 8.24 m

Therefore, in reference to the rectangle given, the length = 8.24 m and width = 4.47 m

Area of the rectangle = 4.47 x 8.24 = 36.83 m²

Perimeter = 2(4.47+8.24) = 2 x 12.71 = 25.42 m

Hence, the area of the rectangle is 36.83 m² and perimeter is 25.42 m

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On a number line, -25 is 25 units to the left of zero, while the opposite of 25 is 25 units to the right of zero.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

On both sides, the magnitude of the numbers will increase from 0 to 1.

So, based on the graph in the attached, 25 is 25 units to the left of zero on a number line.

On a number line, the opposite of 25 is 25 units to the right of zero.

Here, the opposite of -25 refers to +25, which will be 25 units to the right of zero on a number line.

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If we wish to accumulate $3,641 after 6 years at a 5% interest rate, then $2,717.16 must be set aside at the end of each of the 6 periods

The Amount = $3,641

Time = 6 years

Interest Rate = 5% = 0.05

Compounded at the end of each of the 6 periods.

So n = 6 × 6 = 36

Periodic interest rate;

i = r/m

i = 0.05/6

i = 0.00833

Compound Formula

A = P(1 + i)^n

3,641 = P(1 + 0.00833)^36

3,641 = P(1.00833)^36

3,641 = 1.35P

Divide by 1.35 on both side, we get

P = $2,717.16

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The measure of angle 2 is 23 degrees.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.

Let the measure of angle 2 be x.

Then the measure of angle 1 = x + 17

The measure of angle ABD = 63.

From the figure we can observe that:

ABD = angle 1 + angle 2

Substitute the values:

63 = x + 17 + x

63 - 17 = 2x

46 = 2x

x = 23

Hence, the measure of angle 2 is 23 degrees.

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Answer:Determine two values that make the equation false. (2 points)

Step-by-step explanation:

Answer: You are only giving 4 point!

Step-by-step explanation:

Answer: i think its B the slope is 8 and the y-intercept is -3/2 the candle starts at a height of 3/2 of an inch and decreases 8 inches every hour

i said i think so srry if you get it wrong :)

Step-by-step explanation:

There are 120 young girls in the survey.

What is the Principle of Inclusion-Exclusion?

The Principle of Inclusion-Exclusion is a combinatorial principle used to find the number of elements in the union of two or more finite sets. It states that the total number of elements in the union of two sets is equal to the sum of the number of elements in each set minus the number of elements in their intersection.

To find the total number of young girls, we can use the Principle of Inclusion-Exclusion. This principle states that if A and B are two events, then the number of elements in the union of A and B is equal to the sum of the number of elements in A and B, minus the number of elements in their intersection.

In this problem, let's call the number of young girls who like sour taste only "A", the number of young girls who like chilly taste only "B", and the number of young girls who like both tastes "C". Then, the total number of young girls is equal to the number of girls in A, plus the number of girls in B, minus the number of girls in C.

Since one fourth of the girls like sour taste only, the number of girls in A is 1/4 of the total number of girls. Similarly, since one third of the girls like chilly taste only, the number of girls in B is 1/3 of the total number of girls. And since 50 of the girls do not like both tastes, the number of girls in C is 50.

So, the total number of young girls is equal to (1/4) * total + (1/3) * total - 50. We can solve for the total by rearranging the equation and using the given information:

total = (50 + (1/4) * total + (1/3) * total) / (1 - (1/4) - (1/3))

total = (50 + 3/12 * total) / (5/12)

total = (50 * 12/5) / (7/5)

total = 120

Therefore, there are 120 young girls in the survey.

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On solving the provided question, we can say that the inequality equation is swim ≥ 100 yards, tread ≥ 5 min and under ≥ 10 yards

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

the inequality equation is

swim ≥ 100 yards

tread ≥ 5 min

under ≥ 10 yards

swim is not satisfied because lifeguard only swam 250 ft. (83 1/3 yards)

under not satisfied because less than 10 yards.

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Hello/Salut

–6g + –g − –14g − –10g + –2g = –15
–7g - –14g - –10g + –2g = –15
7g - –10g + –2g = –15
17g + –2g = –15
15g = –15
g = –1

I hope it was helpful! :]

Answer:

2428.57mg

Step-by-step explanation:

170 mg of sodium =7%

170/7% = 2428.57mg

Check the picture below.

so we really have 6 faces, each one with an area of 2½ x 2½

[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 6 faces }}{6\left( \cfrac{5}{2}\cdot \cfrac{5}{2} \right)}\implies 6\cdot \cfrac{25}{4}\implies \cfrac{75}{2}\implies 37\frac{1}{2}[/tex]

The sentence written in the passive voice is - The delicious bread is baked by Mr. Jilin

This sentence is written in the passive voice because it follows the passive voice structure of: Object + Past Participle Verb (baked) + by Agent (Mr. Jilin).

In the passive voice, the object of the sentence (delicious bread) is the focus of the sentence, rather than the agent (Mr. Jilin).

Passive voice is a grammatical construction in which the subject of a sentence is not the one performing the action.

Instead, the action is done to the subject. For example, instead of saying "I ate the apple," one might say "The apple was eaten by me."

In passive voice, the subject of the sentence is often omitted and the verb is usually conjugated with a form of "to be" and the past participle of the verb.

This grammatical construction is used to emphasize the object of the action, rather than the subject, and can also be used when the subject is unknown or unimportant.

Passive voice can also be used in scientific and technical writing to create sentences that are clear and concise.

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There probability are 17,576,000 different ways to arrange the 26 letters of the alphabet so that the vowels a, e, I o, and u never appear back-to-back.

There are 21 consonants and 5 vowels (a,e,i,o,u) (all other letters).

The vowels can be arranged in 5! = 120 different ways.

The consonants can be arranged in 21! = 5,109,400,800 different ways.

The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

26 letters make up the alphabet, and 5 of them are vowels (a,e,i,o,u). We must determine how many ways there are to organize the vowels and consonants before we can determine how many ways there are to arrange the letters so that no two vowels appear consecutively.

There are 5! = 120 different ways to order the vowels. This is due to the fact that there are 5 vowels that must be grouped in various ways. Since there are 21 consonants that can be arranged, there are 21! = 5,109,400,800 different combinations that can be made. The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

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