112+18x14 divided by 14-19 i need help

The domain of the graph in this problem is given as follows:

C) -3 ≤ x ≤ 4.

To determine the domain of a graph, you need to identify the set of all possible input values (also known as the independent variable) that produce a valid output (also known as the dependent variable) on the graph.

On a graph, the input values are represented by the values of x of the graph.

On the graph in this problem, we have that it assumes values of x between -3 and 4, with closed intervals, hence the domain is given as follows:

-3 ≤ x ≤ 4.

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Answer:

8x+26

Step-by-step explanation:

distribute the 5 into the numbers in the parentheses. you get (5x+20) then do the same with 3(x+2) which wll be (3x+6) now add like terms, which are 5x+3x=8x and 20+6=26. boom 8x+26.

8x + 26

multiply the outside number by the inside numbers and add them. remember, if the variable is singular example x, then it equals 1 :) I hope this helps you understand, I'm currently doing algebraic expressions.

Answer:

Step-by-step explanation:

we can't say because we don't have a couple of coordinates

The calculated value of the limit of (ln x)^3 / x^2 as x approaches infinity is 0.

To apply L'Hopital's rule, we need to take the derivative of the numerator and denominator separately with respect to x.

We can apply this rule repeatedly until we get a determinate form.

lim x → ∞ [(ln x)^3 / x^2]

Taking the derivative of the numerator:

= 3(ln x)^2 (1/x)

Taking the derivative of the denominator:

= 2x

Applying L'Hopital's rule again by taking the derivative of the numerator and denominator:

= lim x → ∞ [6(ln x) / x]

Taking the derivative of the numerator:

= 6/x

Taking the derivative of the denominator:

= 1

Applying L'Hopital's rule one last time:

= lim x → ∞ 6 / x^2

= 0

Therefore, the limit of (ln x)^3 / x^2 as x approaches infinity is 0.

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all u got to do is subtract

Answer:

The answer is ⁵√a²

Step-by-step explanation:

a⅖=⁵√a²

(1) The value of X is equal to 4  (2) The mean age is 3. (3) The probability of randomly selecting  a child under the age of 9  is approximately 0.83.  

The formula for calculating the average of given numbers is equal to the sum of all values ​​divided by the total number of values. There are three main types of averages: mean, median, and mode. All of these techniques work slightly differently and often give slightly different typical values.

(i). Given that there are a total of 42 children on the birthday, finding the value of x:

2x + 3x (4x-1) + x + (x-2) + (x-3) = 42

11x - 6 = 42

11x = 48

x = 4

Therefore, the value of x is equal to 4.

(ii). To find the average age, we need to calculate the sum of all the ages and divide by the total number of children:

Average age = (7 x 2 + 8 x 3 + 9 x (4-1) +10 x 4 +11 x (4-2) 12 x (4-3)) / 42

 = (14 + 24 + 27 + 40 + 22 +12) / 42

 = 139/42

 = 3.31

Rounded to the nearest whole number, the average age is 3.  

(iii). The probability of randomly selecting  a child under 9 is obtained by adding  the number of children aged 7, 8 or 9 (because we want children under 9) and  dividing by the total number of children:

Number of children under 9 years  = 2x + 3x + (4x-1)

Number of children under 9 years  = 9x - 1

Number of children under 9  = 9(4)–1

Number of children under 9 years  = 35

Probability of choosing a child under 9  = number of children under 9  / total number of children

Probability of choosing a child under 9 = 35/42

The probability of choosing a child under 9 years old is ≈ 0.83

Thus, the probability of randomly selecting  a child under the age of 9  is approximately 0.83.

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The fraction of the panel, that is left after cutting out the hole is [tex]\frac{11}{12}[/tex]

The area of a rectangle equals the product of its 2 sides. The area of a triangle is equal to half of the product of the base and height.. If we choose one of the sides as the base, then for area calculation,  for height we have to use the height of the opposite vertex from this base. To find it, we have to drop a perpendicular from the opposite vertex onto the base. The area of a parallelogram is the product of the length of the base and the perpendicular distance between the two parallel sides of the parallelogram. Area of a trapezium = half of the product of the distance between the parallel sides and the sum of the length of the parallel sides. Area of a circle is [tex]\pi r^2[/tex], in which r is the radius of the given circle. Sometimes the plane figure maynot be a standard shape. In that case we have to divide the figure into suitably many parts such that, each part is a standard figure whose area we can calculate. Also sometimes we can represent an area as the difference of the area of two standard figures. In that case to find the area we have to take the difference of the areas of the two standard figures.

In our question. Initial area of the panel is (3)(2) = 6 square ft.

Area of the cutout = (1)([tex]\frac{1}{2}[/tex]) = [tex]\frac{1}{2}[/tex] square ft.

Using the formula, fraction left = [tex]\frac{6 - \frac{1}{2}}{6} = 1 - \frac{1}{12} = \frac{11}{12}[/tex]

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Required fraction left is 11/12 square feet.

What is area of rectangle?

A rectangle is a geometric shape that has four sides and four right angles. It is a type of quadrilateral and is characterized by its two pairs of parallel sides. The opposite sides of a rectangle are congruent, which means they have the same length, and the adjacent sides are perpendicular to each other.

The area of a rectangle is the total amount of space inside the rectangle and is calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is Area = length x width

For example, if a rectangle has a length of 6 units and a width of 4 units, the area can be calculated as:

Area = 6 units x 4 units = 24 square units

The area of the panel is 3 feet x 2 feet = 6 square feet

The area of the hole is 1 foot x 1/2 foot = 1/2 square feet

Therefore, the area left is 6 square feet - 1/2 square feet = 11/2 square feet

The fraction left is (11/2 square feet) / (6 square feet) = 11/12

Therefore, the required correct option is C.

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The scale factor is 1/3.

What is the scale factor?

The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Here, we have

Given: Triangle D has been dilated to create triangle D′.

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.6 = 3

4.2 / 1.4 = 3

2.7 / x = 3

Knowing that the scaling for each edge is 3, we can solve for x.

2.7 / 3 = x

0.9 = x

The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.

So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.

Hence, the scale factor is 1/3.

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Answer:

8.36

Step-by-step explanation:

67 - 1

8. 82

= 2747 - 4

328

=2743

328

= 8.36

Answer:

[tex]y = \frac{5}{2} x[/tex]

[tex] \frac{y}{x} = \frac{5}{2} [/tex]

The constant of proportionality is the ratio of y to x. Here, the ratio of y to x is 5 to 2. We see that y is directly proportional to x.

Answer: Michelle's income during 2014 was her base salary plus her commission.

Her commission was 3% of $500,000, which is 0.03 x $500,000 = $15,000.

So her total income for 2014 was $87,000 + $15,000 = $102,000.

Step-by-step explanation:

Answer: 8,336

Step-by-step explanation:

So 1 meter is equal to 100 centimeters. All you have to do is multiply 83.36 by 100.

83.36 * 100 = 8,336

Hope this helps!!! :)

Lynn is hesitant to allow Greta to drop off the potato salad at 10am .

Greta could make the potato salad the night before and keep it in the refrigerator to solve the problem she and Lynn were having. She could then transport the potato salad at a safe temperature in a cooler filled with ice packs on the day of the picnic.

She could ask Lynn to store the potato salad in a cooler or refrigerator until the picnic starts when she gets to the park. Along these lines, the potato salad will be protected to eat and won't represent a gamble of food contamination.

The mayonnaise in Greta's potato salad will spoil, leading to the growth of bacteria that could result in foodborne illness, if it is left outside in the sun until the picnic begins at 2 p.m. The potato salad may cause nausea, vomiting, diarrhea, and stomach cramps in those who consume it.

Because food safety guidelines state that perishable foods, like potato salad, should not be kept at room temperature for more than two hours, Lynn is hesitant to let Greta drop off the potato salad at 10 a.m.

If the potato salad is left out in the sun from 10 a.m. to 2 p.m., bacteria can grow on it, and eating it could make you sick.

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The average rate is given as 0.2895 gallons per hour

Gallons per hour (GPH) is a unit of measurement used to express the rate of flow of a liquid, typically fuel.

It represents the number of gallons of fuel that can flow through a particular system or device in one hour.

For example, the GPH of a car's fuel pump indicates how many gallons of fuel it can deliver to the engine in one hour. This unit is commonly used in the context of measuring the fuel efficiency of vehicles or other machinery.

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a)Por lo tanto, la ecuación lineal que representa la temperatura en función de la hora es T(h) = 4h + 29

b) Por lo tanto, la temperatura a las 11:15 am aproximadamente es de 75.3 grados Farenheit.

what is  aproximadamente ?

"Aproximadamente" is a Spanish word that means "approximately" or "roughly" in English. It is often used to indicate that a value or measurement is not exact, but rather an estimation or approximation.

In the given question,

a) La ecuación lineal que relaciona la temperatura con la hora en ese intervalo es:

T(h) = m*h + b

donde T es la temperatura en grados Farenheit, h es la hora en formato de 24 horas, m es la pendiente de la recta y b es el término independiente.

Primero encontramos la pendiente m:

m = (81 - 61) / (13 - 8) = 4

Luego, encontramos el término independiente b utilizando uno de los puntos:

61 = 4*8 + b

b = 29

Por lo tanto, la ecuación lineal que representa la temperatura en función de la hora es:

T(h) = 4h + 29

b) Para encontrar la temperatura a las 11:15 am, primero convertimos el tiempo a horas decimales:

11:15 am = 11 + 15/60 = 11.25 horas

Luego, sustituimos este valor en la ecuación lineal:

T(11.25) = 4(11.25) + 29 = 75.25

Por lo tanto, la temperatura a las 11:15 am aproximadamente es de 75.3 grados Farenheit.

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An equation of a line where slope is -32 and y-intercept is 7 is y = -32x + 7.

An equation of a line where slope is 5 and x-intercept is 2 is y = 5x - 10.

An equation of a line that is going through the points (-1, -5) and (4, -2) is y = 3x/5 - 22/5

An equation of a line that is going through the points (0, 1) and (2, -2) is y = -x/2 + 1

An equation of a line where m = 4 and and b = -76 is y = 4x - 76.

An equation of a line that passes through the points (1, 3) and (4, 12) with a y-intercept of 0 is y = 3x + 0.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-2 + 5)/(4 + 1)

Slope (m) = 3/5

At data point (-1, -5) and a slope of 3/5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 5 = 3/5(x + 1)  

y = 3x/5 + 3/5 - 5

y = 3x/5 - 22/5

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Thus, the value of x and y for the given right angled triangle are found as:   x = 8 and y = 2√3.

The Pythagorean Theorem, a well-known geometric principle that states that the square just on hypotenuse (the side across from the right angle) of a right triangle equals the sum of the squares on its legs, is also known as the

a² + b² = c².

For the larger triangle, applying Pythagorean theorem:

4² + (4√3)² = x²

x² = 16 + 16*3

x² = 16 + 48

x² = 64

x = 8

Then, x - 6 = 8 - 6 = 2

Now applying Pythagorean theorem for smaller triangle:

y² + (x - 6)² = 4²

y² =  4² - 2²

y² =  16 - 4

y² =  12

y² =  √12

y = 2√3

Thus, the value of x and y for the given right angled triangle are found as:   x = 8 and y = 2√3.

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In a case whereby Shandra is giving a snack bag to each of her 4 friends. She puts 4 pear slices in each bag the number of pear slices that are there in all is 16 pear slices.

The calculation can be done in a simple way, If Shandra puts 4 pear slices in each of the 4 snack bags, then the total number of pear slices will be:

4 friends x 4 pear slices per bag = 16 pear slices

Therefore, there are 16 pear slices in all.

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By answering the presented question, we may conclude that As a result, the average speed on the flat road is 57 miles per hour.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

Let's apply the formula:

distance = time speed

The bus went for 2 hours on the level road, hence the distance travelled is:

1 distance = x 2

The bus went for 3 hours on the twisting route, hence the distance travelled is:

3 distance2 = (x - 20)

Because the bus's total distance travelled is 225 miles, we may write:

distance1 plus distance2 equals 225

Substituting distance1 and distance2 expressions yields:

x × 2 + (x - 20) × 3 = 225

When we simplify this equation, we get:

2x + 3x - 60 = 225

5x = 285\sx = 57

As a result, the average speed on the flat road is 57 miles per hour.

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The value of tan(R) is 2/3

What is the trigonometric ratio?

The trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

using tan (θ) = opposite/Adjacent

Here, tan (R) = opposite/Adjacent

Where: opposite side = 14

Adjacent Side = 21

tan (R) = 14/21  = 2/3

tan (R) = 2/3

Hence, the value of tan(R) is 2/3

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The complete question is in the attached figure:

What is tan(R) =?

Therefore , the solution of the given problem of angles comes out to be  the three propositions  m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6.

The point of intersection of the paths joining a skew ends yields the skew's greatest and smallest walls. A crossroads may be where two paths converge. Angle is another outcome of two things interacting. They approach dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various configurations between their endpoints.

Here,

Regarding the illustrated diagram, the appropriate statements are:

=> m∠3 + m∠4 + m∠5 = 180°

This is accurate since every triangle's internal angles add up to 180°.

=>  m∠5 + m∠6 = 180°

This is true because a triangle's internal angle and outside angle are always equal to 180 degrees.

=>  m∠2 + m∠3 = m∠6

This is accurate because, based on the information provided,

the exterior angle at angle 2 (m2) of the triangle is equal to the corresponding interior angle at angle 6 (m6) of the triangle.

Therefore, the three propositions  m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. are always true in relation to the given figure.

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P (green, then yellow) = P(green) * P(yellow) = (4/20) * (3/20) = 0.03 or 3%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of science, such as statistics, physics, and engineering, as well as in everyday life to make informed decisions based on the likelihood of various outcomes.

The probability of drawing a green block on the first draw is 4/20 (since there are 4 green blocks out of a total of 20 blocks in the bag).

Since the block is being replaced back into the bag after each draw, the probability of drawing a yellow block on the second draw is still 3/20.

Therefore, the probability of drawing a green block followed by a yellow block is:

P (green, then yellow) = P(green) * P(yellow) = (4/20) * (3/20) = 0.03 or 3%

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Answer:

We have supplementary angles.

123 + 3x = 180

3x = 57

x = 19

Answer:

x = 19

Step-by-step explanation:

Angle on a straight line add up to 180

123 + 3x = 180

3x = 180 - 123

3x = 57

3x/3 = 57/3

x = 19

Answer: A residual value of –0.8 means that the given point is 0.8 units above the line of best fit.

The equation that represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page is:

y = –38x + 922.

Therefore, the answer is y = –38x + 922.

Step-by-step explanation:

Answer:

On the first draw, there are 10 numerals out of 36 cards.

P(first card is a number) = 10/36 = 5/18

On the second draw, there are 9 numerals out of 35 cards.

P(second card is a number) = 9/35

The probability of both events is the product:

P(both cards are numbers) = P(first card is a number) x P(second card is a number)

= 5/18 x 9/35

= 1/2 x 1/7 (cancel a 5 and a 9).

= 1/14

Answer:

9/16 of a square inch

Step-by-step explanation:

[tex] \frac{3}{4} \times \frac{3}{4} = \frac{9}{16} [/tex]

Answer:

9 /16 inches^2

Step-by-step explanation:

To find the area of the tile, multiply the length by the width

A = 3/4 * 3/4

A = 9 /16 inches^2

There are two solutions for given system of equations: (5, 35) and (-4, 8).

A system of equations is a grouping of two or more equations with numerous variables that are treated as a whole. The solution to a system of equations is the set of variable values that satisfies all of the equations in the system at the same time.

Typical approaches for resolving equation systems include:

Given system of equations is,

[tex]y=x^2+2x[/tex]..................(1)

[tex]y=3x+20[/tex]..................(2)

Solving equations algebraically,

Equating the formulas for 'y' in both equations:

[tex]x^2 + 2x = 3x + 20[/tex]

Rearranging the equation :

[tex]x^2 - x - 20 = 0[/tex]

Here, we got a quadratic equation,Solving for values of x,

[tex](x - 5)(x + 4) = 0[/tex]

[tex]x - 5 = 0 \\x=5\\or\\x + 4 = 0\\x=(-4)[/tex]

For values of 'y', putting values of x in equation (1),

for x = 5,

[tex]y = 5^2 + 2(5)=25 + 10 = 35[/tex]

Thus, (5, 35) is one of the solution.

for x= -4,

[tex]y = (-4)^2 + 2(-4)=16 - 8 = 8[/tex]

Thus, (-4, 8) is other solution.

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