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Answer: (2, -1)

Step-by-step explanation:

To determine if an ordered pair is a solution to an inequality, we substitute the values of x and y into the inequality and see if the resulting expression is true or false.

A. For (7,2), we have:3(7) + 4(2) = 21 + 8 = 29 29 > 5, so (7,2) is not a solution to the inequality.

B. For (2,-1), we have:3(2) + 4(-1) = 6 - 4 = 2 2 ≤ 5, so (2,-1) is a solution to the inequality.

C. For (5,-1), we have:3(5) + 4(-1) = 15 - 4 = 11 11 > 5, so (5,-1) is not a solution to the inequality.

D. For (6,1), we have:3(6) + 4(1) = 18 + 4 = 22 22 > 5, so (6,1) is not a solution to the inequality.

So, the ordered pair that is a solution to the inequality is (2,-1).

The algebraic expression can be written as:

(11 + g)/9

Here we want to write:

"divide the sum of 11 and g by 9"

As an algebraic expression.

The sum of 11 and g can be written as:

(11 + g)

Where g is the variable in this problem.

And now we just divide that by the number 9, then the algebraic expression is the next one:

(11 + g)/9

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The transversal Alternate Interior Angle Theorem is the theorem for which ∠1 ≅ ∠8

If line p intersects lines a and b and angles 1 and 8 are opposite angles, then they are congruent (equal) by the Transversal-Alternate Interior Angle Theorem.

The Transversal-Alternate Interior Angle Theorem states that if a transversal intersects two lines, then alternate interior angles are congruent. In other words, if a transversal line (such as line p in this case) cuts two other lines (lines a and b), then the angles on one side of the transversal will be equal to the corresponding angles on the other side. These corresponding angles are called alternate interior angles.

So, in this case, angle 1 and angle 8 are alternate interior angles and are equal to each other as per the Transversal-Alternate Interior Angle Theorem.

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The range of the function f (x) = - 3x² + 5 is,

⇒ (- ∞, 5]

⇒ All real numbers less than or equal to 5

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ f (x) = - 3x² + 5

Now, We an draw the graph of function f (x) = - 3x² + 5.

In graph the range is the defined as cover by up and down.

Hence, The range of the function f (x) = - 3x² + 5 is,

⇒ (- ∞, 5]

⇒ All real numbers less than or equal to 5

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If the publisher changes from a sample size of 100 to a sample size of 1000, the precision of the estimate will be more accurate and the publisher will have more confidence in the results.

Increasing the sample size from 100 to 1000 will result in a more precise estimate of the proportion of children who like the book. The larger sample size will lead to a narrower sampling distribution, meaning that the estimates of the proportion will be more tightly clustered around the true value. This increased precision can provide the publisher with more confidence in the results and a better understanding of the opinions of children on the new book.

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Answer:

You can put this solution on YOUR website!

100 >= 20t (that's "more than or equal to")

Divide each side by 20

5 >= t [5 is more than or equal to t]

or, conversely, t <= 5 [t is less than or equalequal to 5]

if it take 12 hours for a older pump and 3 hours for 2 pumps you would multiply 3x2 witch equals 6 and 6÷12 equals 3

Liliana's next step is to find the area of each of the two trapezoids.

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

Given that she has broken the polygon into two trapezoids, the next step ti so calculate the area of each trapezoid

This is done using

Area = 1/2 * (sum of parallel sides) * height

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the answer is DDT

your welcome and have a great rest of your day

Answer: 3x2 - 4

Step-by-step explanation:

2x2 + 3 + (x2 - 7)

2x2 + 3 + x2 - 7

3x2 - 4

(i don't know if this is right let me know)

The volume of the resulting solid is 3,280.953 cm3.

The volume of the resulting solid is calculated by subtracting the volume of the inner sphere (the hole) from the volume of the outer sphere (the ball). The volume of a sphere is calculated by the formula V=4/3πr3. Therefore, the volume of the outer sphere is V1=4/3π(13)3=4,714.286 cm3. Similarly, the volume of the inner sphere is V2=4/3π(7)3=1,433.333 cm3. Subtracting V2 from V1 gives the volume of the resulting solid as V3=4,714.286 - 1,433.333=3,280.953 cm3. Therefore, the volume of the resulting solid is 3,280.953 cm3.

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Answer: $33.3

Step-by-step explanation:

1kg of beans cost $3.70 then $3.70x9= $33.3.

Hope this helps.

The length of each entertainment segment written as a decimal is 4.5 minutes

Total time of the TV program= 20 minutes

Number of commercials= 2

Time taken for each commercial= 13/4 minutes

Total time taken for 2 commercials= 2(13/4)

= 26/4

= 13/2 minutes

Number of minutes remaining after commercials= Total time of the TV program - Total time taken for 2 commercials

= 20 - 13/2

= (40-13) / 2

= 27/2 minutes

Number of entertainment segment = 3

Time spent on each entertainment segment= Number of minutes remaining after commercials / 3

= 27/2 ÷ 3

multiply by the reciprocal of 3

= 27/2 × 1/3

= 27/6 minutes

= 4.5 minutes

Therefore, each entertainment segment will take 4.5 minutes from the 20 minutes TV program.

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Price of each bag of cat food is $3 and the price of each bag of dog food is $2.75.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the cost of each small bag of cat food and y be the cost of each small bag of dog food.

Given that,

On Monday Carlos purchased 3 small bags of cat food and 5 small bags of dog food for $22.75.

3x + 5y = 22.75

On Thursday he buy 2 more small bags of cat food and 3 more small bags of dog food, which cost him $14.25.

2x + 3y = 14.25

So we have two linear equations.

3x + 5y = 22.75 and 2x + 3y = 14.25

Multiplying throughout the first equation with 2 and the second equation with 3, we get the two equations as,

6x + 10y = 45.5 and

6x + 9y = 42.75

Subtracting second from first,

y = 2.75

Substituting y = 2.75 in 2x + 3y = 14.25,

2x = 14.25 - 8.25

x = 3

Hence the the price of cat food and dog food are $3 and $2.75 respectively.

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a) This can't be correct because we will see that she found 6.7 animals, and that can't be.

b) in this case the fraction of plants ios 2/5, then the number of plants is 8.

a) We know that she found 20 species of animals and plants, so, if she says that a fraction of 1/3 of these are animals, then the number of animals will be:

A = (1/3)*20 = 20/3 = 6.7

That is not a whole number, so it isn't correct.

b) If 3/5 of the species were animals, then 2/5 were plants, so the number of plants is given by:

P = (2/5)*20 = 2*20/5 = 2*4 = 8

There are 8 plants in this case.

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The short sleeve shirts sold by haley were 405

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: Haley's clothing store sold 540 shirts with ratio of short sleeve to long as 3:9

let 3x and 9x long and short sleeves were sold respectively

Then we have

3x+9x=540

12x=540

x=540/12

x=45

Thus 3x=135 and 9x=405

Hence, The short sleeve shirts sold by haley were 405

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When using a metric ruler with ten equally spaced increments between each labeled centimeter, the length of an object can be recorded to one decimal place.

A metric ruler is typically divided into centimeters (cm) and millimeters (mm). The ruler has ten equally spaced increments between each labeled centimeter, which means that each centimeter can be divided into ten equal parts. Each of these parts represents a millimeter, and they can be used to measure smaller lengths with more precision.

When using a metric ruler to record the length of an object in centimeters, the smallest division on the ruler that can be used to measure the length is a millimeter. The length of the object can be estimated to the nearest millimeter by aligning it with the closest division on the ruler.

To express the length of the object in centimeters, the number of millimeters must be divided by 10. The resulting value will represent the length of the object in centimeters, rounded to the nearest tenth of a centimeter. This means that the length of the object can be recorded to one decimal place.

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The pressure of the gas at the volume of 900 litres will be 32 kilopascals.

Boyle’s law states that the pressure of compressed gas is inversely proportional to its volume. It means that the product of the pressure and volume of the gas is constant when the temperature of the gas is constant.

Given that the pressure of a certain sample of gas is 16 kilopascals when its volume is 1,800 litres.

The pressure of the gas at the volume of 900 litres will be calculated as;-

P₁V₁ = P₂V₂

( 16 x 1800 ) = P₂ x 900

P₂ = ( 16 x 1800 ) / 900

P₂ = 16 x 2

P₂ = 32 Kilopascal

Hence, the pressure will be 32 kilopascals.

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A system of 4 linear equations in 3 variables x, y, z can have at most one solution.

It is because a system with more than three equations and only three variables will not have a unique solution due to the fact that the dimension of the solution space of 3-dimensional equations is three, so adding an extra equation will result in an over-determined system.

In other words, there are not enough variables in the system to meet the requirements of all the equations, which leads to an over-determined system where there is either no solution or a unique solution. If the system has exactly two solutions, it means that the solution space of the system of equations has a dimension greater than 3, which contradicts the fact that the dimension of the solution space of a system of 3-dimensional equations is 3.

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The function graphed on the paper could be a quadratic function which has the two real roots equal to 3 and 9.

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

The graph of a function is parabola when the function is quadratic.

Quadratic functions are of the form f(x) = ax² + b x + c.

Given that, the parabola touches the x-axis at 3 and 9.

This indicates that roots of the quadratic equation are 3 and 9.

That is, f(x) = 0, when x = 3 and x = 9.

It may be of the form f(x) = (x - 3)(x - 9) = x² - 3x - 9x + 27 = x² - 12x + 27.

So the function representing the graph on the paper is a quadratic function whose roots are 3 and 9 and the function could be of the form f(x) = x² - 12x + 27.

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Answer:the fitness app will have 1,280,000 downloads after 10 months.

Step-by-step explanation:

To find the number of downloads after 10 months, we need to calculate the number of downloads after each month and add them up. Here's the formula to calculate the number of downloads after n months:

Number of downloads after n months = 1,250 * 2^n

Substituting n=10 in the formula, we get:

Number of downloads after 10 months = 1,250 * 2^10 = 1,250 * 1024 = 1,280,000

So, the fitness app will have 1,280,000 downloads after 10 months.

Answer:$2.97

Step-by-step explanation: 35 divided by 12 = 2.97

The equivalent exponential function is ( 8 ) ^ ( 3x/4 ).

option A.

The equivalent of the exponential function is calculated by applying the following formula.

Generally, for an exponential function of (√a)³ = ( a ) ^ (2/3)

The given exponential function = ∛ (8) ^ (1/4)× , the equivalent function is determined as;

∛ (8) ^ (1/4)× = ( 8 ) ^ ( 1 / 4 ) ( 3x )

= ( 8 ) ^ ( 3x/4 )

Thus, the equivalent exponential function is determined by applying exponential rules.

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Answer:

Isosceles acute triangle

Step-by-step explanation:

angle CBD = 56 because you have to subtract 180 - 124 = 56
angle BDC = 62
add CBD = 56 and BDC = 62
56+62+c(angle c)=180
c= 62 b=56 d=62
2 angles are equal and therefore it is Isosceles
Non of the angles are obtuse and therefore it is acute triangle!

Hope I helped!

Depending on the coordinate system used, a vector's magnitude can vary. A vector may be enhanced by the addition of a scalar. When one of a vector's components is nonzero, the vector can have a magnitude of zero.

What is magnitude of a vector ?

A vector's magnitude, represented by the symbol |v|, is used to determine a vector's length. The distance between the vector's beginning point and endpoint is what this amount essentially represents.

What does the vector coordinate system mean?

An ordered list of integers (a tuple) that represents a vector in terms of a specific ordered basis is known as a coordinate vector in the language of linear algebra.

                             The coordinates (5, 2, 1) in a three-dimensional Cartesian coordinate system with the axes as its basis serve as an accessible example.

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The third term of this arithmetic sequence is 21.

eleventh term of an arithmetic sequence is 69.

a₁₁ = a + 10 d = 69

also sum of the first three terms is 45

the first three terms are a, a + d, a + 2d

a + a + d + a + 2d = 45

3a + 3d = 45

a + d = 15

a = 15 - d

so, a + 10 d = 69

15 - d + 10d = 69

9d = 69 - 15

9d = 54

d = 6

a = 15 - 6 = 9

a₃ = a + 2d

   = 9 + 2(6)

a₃ = 21

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The unit kilowatt-hour measures the amount of energy used or produced, whereas the rate at which energy is transformed is measured in kilowatts.

The unit kilowatt-hour (kWh) is a measure of energy, not power. Energy is a measure of the amount of work that can be done, and is usually measured in joules. Power, on the other hand, is a measure of the rate at which energy is transformed, and is usually measured in watts.

A kilowatt-hour is the amount of energy used or produced when a power of one kilowatt is used for one hour. For example, if a 100-watt light bulb is left on for 10 hours, it will have used

100 * 10 = 1000 watt-hours or 1 kilowatt-hour of energy.

So to summarize, the unit kilowatt-hour measures the amount of energy used or produced, whereas the rate at which energy is transformed is measured in kilowatts.

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The number of different unique cleaning teams should be 1540.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A class has 10 boys and 12 girls and 3 students are chosen at random.

So, the team of 3 can be chosen as 3 boys, 3 girls, 1 boy 2 girls, and 1 girl and 2 boys and the total teams will be the sum of different combinations which is,

= [tex]^{10}C_3 + ^{12}C_3 + ^{10}C_1\times^{12}C_2 + ^{12}C_1\times^{10}C_2[/tex].

= (10×9×8)/6 + (12×11×10)/6 + 10×(12×11)/2 + 12×(10×9)/2.

= 120 + 220 + 660 + 540.

= 1540.

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