What is the following product?
3-√2 (5√6-7√3)
O 30√2-21√5
O 60√2-21√5
O 30√3-21√6
O 60-√3-21 √6

The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

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Step-by-step explanation:

you did not say what needs to be done.

simplify ?

sqrt(12/b²)

12 = 4×3

4 is a square number (2² = 4).

3 is not.

b² is per definition a square "number".

in a multiplication or division we can apply the square root (or any root) individually to the different factors involved.

so,

sqrt(12/b²) = sqrt(12)/sqrt(b²) = sqrt(4×3)/b =

= 2×sqrt(3)/b

FYI - about your question : if somebody does not know (how to get) the answer, he/she will also not be able to doubtlessly determine, if a specific answer is right ...

The double integral ∫∫R 8x/1+xydA ; R = [0,8]×[0,1] is evaluated using the iterated integral formula, and the value of the integral is found to be 5.99146454710798.

The double integral can be calculated using the iterated integral formula:

∫∫R 8x/1+xydA = ∫0,1 ∫0,8 8x/1+xydxdy

= ∫0,1 [8x/1+xydx]|0,8dy

= ∫0,1 [8ln(1+8y) - 8ln(1+0)]dy

= 8ln(1+8) - 8ln(1)

= 8ln(9) - 8ln(1)

= 8ln(9)

= 5.99146454710798

The double integral is calculated by transforming it into an iterated integral. This is done by evaluating the inner integral first and then the outer integral. The inner integral is evaluated by using the fundamental theorem of calculus and the outer integral is evaluated by substituting the upper and lower limits of the integral. Finally, the value of the double integral is calculated by subtracting the expression for the lower limit from the expression for the upper limit.

The double integral ∫∫R 8x/1+xydA ; R = [0,8]×[0,1] is evaluated using the iterated integral formula, and the value of the integral is found to be 5.99146454710798.

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Answer:

$47

Step-by-step explanation:

(3 plates)($4/plate) + (5 shakes)($7/shake) = $47

Answer:

8.5440037453175 or 8.5 since the directions say to round, if necessary. Please let me know if you have any questions about this! Also, please mark brainliest! Thanks so much and have a blessed day!

Answer:

8.5

Step-by-step explanation:

Answer in the diagram

Answer:

1) The number of miles Priya ran last week was 43 miles

2) The way Elena found Priya's miles is faster compared to the way it was found here

Step-by-step explanation:

1) The number of miles Priya ran this week = The number of miles Priya ran last week - 7

The number of miles Priya ran this week = 9 × The number of miles Elena ran this week

The number of miles Elena ran this week = 4 miles

Therefore;

Let the number of miles Priya ran last week = x miles

The number of miles Priya ran this week = (x - 7) miles

Therefore, we have

(x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles

x = (36 + 7) miles = 43 miles

The number of miles Priya ran last week = x miles = 43 miles

The number of miles Priya ran last week = 43 miles

2) From (x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles, we have;

(x - 7) = 9 × 4

1/9(x - 7) = 4

Therefore, multiplying by 9, we have;

9 × 1/9(x - 7) = 9 × 4

(x - 7) = 9 × 4 = 36

x - 7 + 7 = 36 + 7

x = 43 miles

Therefore, the way Elena found Priya's miles is faster compared to the way it is found here

Answer:

35

Step-by-step explanation:

245 divided by 7 = 35

Answer:

Yeah if she has 245 glue sticks and put the glue sticks in 7 bins ofc we are going to be dividing.

Step-by-step explanation:

245 divided by 7 = 35

The correct answer for preventing sexual involvement would be option 2: voicing personal boundaries.

Voicing personal boundaries: This action is crucial in preventing sexual involvement.

By clearly communicating one's personal boundaries, desires, and limits, individuals establish their autonomy and expectations within a relationship. Open and honest communication allows both parties to understand and respect each other's boundaries, leading to a healthier dynamic.

Voicing personal boundaries is essential because it allows individuals to communicate their limits and expectations regarding sexual involvement, promoting consent and healthy relationships.

It empowers individuals to take ownership of their bodies and decisions, fostering an environment where all parties involved can make informed choices and respect each other's boundaries.

Hence the correct option is 2.

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The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)

The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.

-5 is the best way to describe the slope.

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Answer:

The correct answer would be 10^0.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]\frac{10^{5} }{10^{5} }[/tex]   When the bases are the same and you are dividing, you subtract the exponents.

[tex]10^{5-5}[/tex]

[tex]10^{0}[/tex]

A number with an exponent of 0 equals 1

Answer:

(0, - 3 )

Step-by-step explanation:

Any point on the y- axis has an x- coordinate of zero

the only point with an x- coordinate of zero is (0, - 3 )

The factored form of the expression [tex]3x+24y[/tex] can be written by using  distributive Property as [tex]3(x+8y)[/tex] .

The expression is given as : [tex]3x+24y[/tex] ;

we have to write the factored form this expression ;

we use the distributive property , to write the factored form ,

the distributive property ⇒ states that for any three numbers the condition [tex]a(b+c) = ab+ac[/tex] is satisfied;

the first term of the expression is 3x ,

the second term of the expression is 24y , which can be written as [tex]3\times 8y[/tex] ;

In the first and second term , we can see that 3 is the common factor in both the terms ,

Therefore , the factored form can be written as [tex]3(x+8y)[/tex] .

The given question is incomplete , the complete question is

What is the factored form of the expression [tex]3x+24y[/tex]  ?

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After taking the common, the factored form of 3x + 24y is 3(x + 8y).

In the given question, we have to find the factored form of 3x + 24y.

The given expression is 3x + 24y.

The following is how we factor the GCF out of a polynomial:

(1) Determine the polynomial's GCF for each term.

(2) Present each term as the GCF and another factor's product.

(3) To factor out the GCF, use the distributive property.

To solve this question, we take common the number that are common in both terms. Then We solve this expression.

Taking 3 common

3x + 24y = 3(x + 8y)

Hence, the factored form of 3x + 24y is 3(x + 8y).

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The complete answer is:

What is the factored form of 3x + 24y?

You are responsible for paying the interest while you are in school because a direct unsubsidized loan does not cover it.

The Federal Direct Loan Program through William D. Ford offers "loans with low interest rates that parents and students can use to help cover the expense of a student's post-high school education. A bank or other financial institution is not the lender; rather, it is the U.S. Department of Education."

The U.S. Department of Education issues federal direct loans, which are loans for students. In most cases, if you obtained a federal student loan or consolidated your debt on or after July 1, 2010, you have a federal Direct Loan.

Federal and private loans are the two main categories of student loans. Federal government funding is used to support federal parent and student loans. Private student loans are made by lenders such as banks, credit unions, state agencies, or educational institutions and are not provided by the federal government.

Therefore, the correct answer is option a) A direct unsubsidized loan will not cover interest while you are in school, and you are responsible for paying the interest while you are in school.

The complete question is:

Which of the following statements are true when considered direct student loans (Stafford Loans)?

A direct subsidized loan requires you start paying interest immediately while you are in school.

A direct subsidized loan will cover the interest on the loan while you are in school.

A direct unsubsidized loan will not require interest be paid until you graduate or leave the school.

A direct unsubsidized loan will not cover interest while you are in school, and you are responsible for paying the interest while you are in school.

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The objective is to develop and implement an adaptive cruise control system for vehicles using MATLAB, Arduino UNO, and ThingSpeak that automatically adjusts the speed to maintain a safe distance from vehicles ahead and uploads speed information to the cloud for connected vehicles and intelligent transport.

The system uses an Arduino UNO board, five buttons, a distance sensor, and a 4-digit 7-segment anode display. The buttons include Set_speed, Adaptive_speed, Cancel, Increase_speed, and Decrease_speed. The system has two modes, cruise control, and adaptive cruise control.

In cruise control, the speed is held constant and can be adjusted with the Increase_speed and Decrease_speed buttons. In adaptive cruise control, the speed automatically adjusts to maintain a safe distance from vehicles or objects in front and the display blinks to indicate this mode.

The system also communicates with the ThingSpeak platform to store speed data on the cloud for analysis and visualization in MATLAB.

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The statements are always true regarding the diagram, as follows:

1.  m∠5 + m∠6 = 180°

2. ∠ 2+ ∠ 3 = ∠ 6

3. m∠2 + m∠3 + m∠5 = 180°

An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.

Consider Δ ABC with Exterior angles as

∠ 1 , ∠ 4 , and ∠ 6

For Exterior ∠ 1 we have

∠ 1 = ∠ 5 + ∠ 3

This true due to Exterior angle Property of Triangle

Similarly,

For Exterior ∠ 4 we have

∠ 4 = ∠ 5 + ∠ 2.

This true due to the Exterior angle Property of the Triangle

Similarly,

For Exterior ∠ 6 we have

∠ 6 = ∠ 2 + ∠ 3

In a triangle sum of the measures of angles is equal to 180°

∴ m∠2 + m∠3 + m∠5 = 180°

This is true due to Triangle Sum Property

A straight angle has a measurement of 180 degrees, hence a linear pair of angles must sum up to 180 degrees.

∴ m∠5 + m∠6 = 180°

This true due to the Linear Pair.

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Answer:

2.4

Step-by-step explanation:

12 divided by 5

In order to get it

Answer:

2.4 lbs

also 2lbs 6oz (rounded to the nearest ounce)

Step-by-step explanation:

We are comparing pounds of blueberries to pies.



pounds/pies

= 12pounds/5pies

= 12/5

= 2.4 pounds per pie

Mary used 2.4lbs of blueberries in each pie.

If you need to know the ounces, the .4 part of the 2.4 answer is the ounces. (2 is pounds, .4 is parts of a pound)

There are 16 ounces in a pound.

.4 × 16

= 6.4

2.4 pounds is 2pounds6ounces (rounded to the nearest ounce)

Answer: 8 or more, There is no exact number.

Step-by-step explanation:

4 - p = -4

then to get to greater than 3, you have to do -4 + 8 = 4

So Mandy bought 8 or more notebooks

F. M⁻¹ s⁻¹

D. M⁻¹

If the reaction is first order in A, the rate law is rate = k[A], where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:

1.6 x 10⁻³ M/s = k(0.11 M)

Solving for k:

k = (1.6 x 10⁻³ M/s) / (0.11 M) = 14.55 x 10⁻⁴ s⁻¹

So the rate constant for a first order reaction in A is 14.55 x 10⁻⁴ s⁻¹.

If the reaction is second order in A, the rate law is rate = k[A]², where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:

1.6 x 10⁻³ M/s = k(0.11 M)²

Solving for k:

k = (1.6 x 10⁻³ M/s) / (0.11 M)² = 0.1395 x 10⁻³ M⁻¹ s⁻¹

So the rate constant for a second order reaction in A is 0.1395 x 10⁻³M⁻¹ s⁻¹.

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-1/4 is the slope of the line draw in the graph.

An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.

Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.

Slope = (y₂ - y₁) / (x₂ - x₁)

Here, (x₁, y₁) = (4,0)

(x₂, y₂) = (0,1)

Thus, slope = (1 - 0) / (0 - 4)

slope = - 1/4

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The value of 8dm to 3.2 dm as a fraction is 2 1/2.

It is important to note that a fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

8dm to 3.2 dm as a fraction will be simply be gotten by dividing the values that are given in the question.

In this case, this will be Illustrated as:

= 8 / 3.2

= 80 / 32

= 5 / 2

= 2 1/2

Therefore, the fraction is 2 1/2.

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The perimeter of nonagon in units is 24.28 units.

The perimeter is comprised of 9 segments of length 2 plus the circumference of a circle with a radius of 1  [each curved part of S is 1/9 of this circumference and there are 9 of them ]

The perimeter  = 9*2  + 2pi (1)   =  18 + 2pi ≈  24.28 units

Calculate the perimeter of many forms by summing the lengths of their sides. Since there are two of each side length, the perimeter is calculated by simply adding the length and width and multiplying the result by two. The formula for perimeter is perimeter=(length+width)2.

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It would take 23.45 years to double the investment of  £100 with a compound interest rate of 3% to £200.

Using the formula A = P(1 + r)^t

Initial amount of investment, P = 100

Final amount(double the investment), A = (2 x 100) = 200

Interest rate, r = 3% = 0.03

Number of years, t = ?

A = P(1 + r)^t

200 = 100 (1 + 0.03)^t = 100(1.03)^t

Divide both sides by 100

200/100 = 100(1.03)^t/100

2 = (1.03)^t

In2 = t In(1.03)

t = In2/In(1.03)

t = 23.45 years

The amount of time it would take to make £200 from £100 is 23.45 years at a compound rate of 3% using the rule of 72 and the simple interest formula.

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The profit is Rs. 200.

The pricing system in which a commodity's (goods or services') price is lower than its listed price is referred to as a "discount." Simply put, "discount" refers to a percentage of the advertised price. A discount is a type of price reduction on products that is seen in consumer transactions. In these transactions, buyers propose a percentage of rebates on various products to increase sales. A discount is the seller's offer of a discount to the buyer.

Given marked price = Rs. 800

discount % = 10%

discount = 10% of 800

discount = 800 x 0.1 = 80

selling price = marked price - discount

selling price = 800 - 80 = Rs. 720

The dealer makes a profit of 20% means is selling the article at 120%.

120%=720

1%=6

Hence, 100%=600

Thus, the cost price of article= 600

profit  = SP - CP = 800 - 600

profit  = Rs. 200

Hence profit is Rs. 200.

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The simplest radical form of X of the triangle is [tex]\sqrt{}[/tex]30.

AI Recommended Response Division by the radical sign yields the value of x in its simplest radical form.

Due to the absence of any perfect square factors for the number beneath the square root,[tex]\sqrt{}[/tex] 30 is in its simplest radical form.

Due to the fact that the number under the square root,

[tex]\sqrt{}[/tex]30 = [tex]\sqrt{2} * \sqrt{3} *\sqrt{5}[/tex]

may be factored to equal, and that [tex]\sqrt{}[/tex]30 is a perfect square since

is not in its simplest radical form.

so we can add [tex]\sqrt{30}[/tex]

The simplest radical form of X of the triangle is [tex]\sqrt{}[/tex]30

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The conductance of a conductor is inversely related to the cross-sectional area of the conductor.

Conductance is directly related to the ease offered by any material to the passage of electric current. Conductance is the opposite of resistance. The higher the conductance, the lower the resistance, and vice versa, the greater the resistance, the less conductance, so both are inversely proportional

Which of the following describes the relationship of conductance to a conductor?

The conductance of a conductor is directly proportional to the length of the conductor.

The conductance of a conductor is directly proportional to the cross-sectional area of the conductor.

The conductance of a conductor is inversely proportional to the square of the length of the conductor.

The conductance of a conductor is inversely proportional to the cross-sectional area of the conductor.

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The graph of the equation of g(x) is steeper than the graph of f(x) and has a lower y-intercept.

The ratio of how much y grows as x grows by a certain amount is called the slope of a line. A line's slope, or the amount by which y rises as x rises, indicates how steep a line is.

Given that the equation of f(x) and g(x) are as follows:

[tex]f(x) = \frac{1}{4} x -1\\\\g(x) = \frac{1}{2} x -2[/tex]

Using the slope-intercept form [tex]y=mx+C[/tex], and comparing with the equations we have:

Here, m is the slope and C is the y-intercept.

Slope of f(x) = [tex]\frac{1}{4}[/tex]

Slope of g(x) = [tex]\frac{1}{2}[/tex]

y-intercept of f(x) = -1

y-intercept of g(x) = -2

The slope of g(x) is greater than the slope of f(x), also, the y-intercept of g(x) is less than the y-intercept of f(x).

Hence, the slope of g(x) is steeper than f(x) and has a lower y-intercept.

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5(10x) is the  expression for the total area of the wall, the total area you just need to divide by five to find the area of each section and 10x is an expression for the area of each section

The area of Rectangle is length times of width.

Given that Todd and his friends are painting 5 equal sections of a wall.

The wall is 10 feet tall, but its length is unknown.

Let the unknown length is x

Expression for the total area of the wall is 5(10x)

To get area you do like the times width so it’s 10 times X and theres five sections

If you have the total area you just need to divide by five to find the area of each section

10x is an expression for the area of each section of the wall because it’s just the length times the width of the wall segment

Hence, 5(10x) is the  expression for the total area of the wall, the total area you just need to divide by five to find the area of each section and 10x is an expression for the area of each section

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The expression will be (x - 1) (x² + x + 1).

How to find the expression ?

As per given x³ - 1, The first things you have to do is rewrite the the expression as :

a³ ± b³ : x³ - 1³

then factorize both expression

a³ ± b³ : x³ - 1³ = (a ± b) (a² ± ab + b²) : (x - 1) (x² + x + 1²)

last, calculate the power of (x - 1) (x² + x + 1²)

(x - 1) (x² + x + 1²) = (x - 1) (x² + x + 1)

Hence, the answer of that question will be  (x - 1) (x² + x + 1)

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Answer: If a sphere and a cube have the same volume then the ratio of the surface of the sphere to that of the cube is 6: π

If the number of people changed to 12, the new cost per person is equal to $18.

In Mathematics, an inverse variation can be modeled or represented by this mathematical expression:

p ∝ 1/c

p = k/c

Where:

Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = pc

k = 3(72)

k = 216

Now, we can determine the value of c:

c = k/p

c = 216/12

c = $18.

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