Use the image shown to determine the values below: (Only type in numbers)

The point that is a solution to the system of inequalities y < −2x + 10 and y < 1/2x − 2 is point E at (4, -2). This is because point E satisfies both inequalities.

When we plug in the x and y values of point E into the first inequality, we get -2 < -2(4) + 10, which simplifies to -2 < 2, which is true.

When we plug in the x and y values of point E into the second inequality, we get -2 < 1/2(4) - 2, which simplifies to -2 < 0, which is also true. Therefore, point E is a solution to the system of inequalities.

For question 7, the correct answer is −10 < x < 35 and 0 < y ≤ 38. This is because the temperature must be between -10 and 35 degrees, and there must be between 0 and 38 people on the trip.

For question 8, the correct answer is 2x + 3y < 60. This is because a small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing, and the total time must be less than 60 hours.

For question 9, the correct answer is the graph with a dashed line f of x rising left to right that is shaded above and a dashed line that is falling g of x left to right that is shaded above.

This is because the solution to the system of inequalities is the area where both inequalities are true, which is the area where they have shading in common. In this case, it is the area above both dashed lines.

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Answer:

193 1/3

Step-by-step explanation:

First, we need to convert [tex]\frac{145}{3}[/tex] into a mixed number.

Now, we can add them together:

Therefore, the answer is [tex]193\frac{1}{3}[/tex].

The least whole number of bags of concrete mix that Roger needs is:

Number of bags = 6

Answer: F. 16

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

To find the volume of the sidewalk in cubic feet, we first need to convert the dimensions to feet. Since 1 foot = 12 inches, we have:

Length = 24 feet + 6 inches = 24.5 feet

Width = 4 feet + 6 inches = 4.5 feet

Depth = 4 inches = 1/3 feet (since 1 foot = 12 inches, 4 inches = 4/12 feet = 1/3 feet)

The volume of the sidewalk is then:

Volume = Length x Width x Depth

= 24.5 feet x 4.5 feet x 1/3 feet

= 3.25 cubic feet

Since one bag of concrete mix makes 0.6 cubic feet of concrete, the number of bags of concrete mix that Roger needs is:

Number of bags = Volume of sidewalk / Volume per bag

= 3.25 cubic feet / 0.6 cubic feet per bag

= 5.42 bags

Since Roger cannot buy a fraction of a bag, he must buy at least 6 bags of concrete mix. Therefore, the least whole number of bags of concrete mix that Roger needs is:

Number of bags = 6

Answer: F. 16

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The slope of x - 3y = -9 is, m = 1/3, while the y-intercept (b) is 3.

The sketch of x - 3y = -9 is shown below.

To determine the slope and y-intercept of the line given by the equation x - 3y = -9, we can rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can solve for y:

x - 3y = -9

-3y = -x - 9

y = (1/3)x + 3

Now we can see that the slope of the line is m = 1/3, and the y-intercept is b = 3.

To sketch the line, we can use the slope and y-intercept. We can start by plotting the y-intercept (0,3) on the y-axis. From there, we can use the slope of 1/3 to find additional points on the line. For example, if we move 3 units to the right along the x-axis, we can move up 1 unit (since the slope is 1/3) to get another point on the line, which is (3,4). We can repeat this process to find more points on the line and then connect them to sketch the line.

The sketch is shown below in the attachment.

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Answer:

5pi (use the pi character button on your screen)

Step-by-step explanation:

Arc length formula is the shortest formula in all of all math!

Arc length = r•theta

r is the radius. In your question, it is 6.

"theta" is the angle in radians, which was given in your question as 5pi/6.

Fill in these given values to the formula.

Arc length

= r • theta

= 6 • 5pi/6

Simplify (the 6's cancel)

= 5pi

The best description of the expression 6(x + 10) is given as follows:

The product of a constant factor 6 and a 2-term factor x + 10.

The expression for this problem is defined as follows:

6(x + 10).

The 6 before the parenthesis means that the distributive property is applied, meaning that we have a product of two amounts, which are given as follows:

Meaning that the second option is the correct option.

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Answer: y = 2x - 7

Step-by-step explanation:

Slope-intercept form is y=mx+b

Substitute variables with their given values.

 y = 2x + b

In order to find the y-intercept, or b, we can plug the point provided, (4,1) , into y = 2x + b and solve for b.

 1 = 2(4) + b

 1 = 8 + b

-7 = b

Now we can put the y-intercept into the equation, and get y = 2x - 7 .

Answer:

The expression "sine squared theta over the quantity 1 plus cosine theta end quantity" can be simplified to "1 - cos θ".

Answer:

1 - cos θ

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the numerator of the fraction is

6(t+h) +1 -(6t +1) = 6h

so the fraction is 6h/h =6

The approximate percent of total students that receive no allowance and do not have a cell phone is this:

C. 47%

First, we are given some figures that stand for the number of students who receive no allowance and have no cell phones. We have to calculate the total number of students as follows:

45 + 21 + 35 + 49 = 150

The number of students who receive no allowance = 49

The number of students who have no cell phones =21

So, the percentage is = The Total number of students that receive no allowance and have no cell phones / Total number of students.

= 49 + 21 = 70

70/150 × 100

= 46.6%

Approximately this is 47%.

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Answer:

Below

Step-by-step explanation:

The quations are both equal to 'y'  so the equations are equal

5x-10 = -3x+ 14

8x = 24

x = 3     <====== use this value of 'x' in one of the equations to calculate y

y = 5x-10

y = 5(3)-10 = 5  

Answer:

$ 2,484.23

Step-by-step explanation:

The formula for scrap value is

S(n) = C( 1- r)ⁿ

where
S(n) = scrap value after n years
C = original cost
r = rate of value lost in decimal
n = number of years

First convert r to a decimal by dividing by 100

r = 13/100 = 0.13

S(10) = 10,000(1 - 0.13)¹⁰
= 10,000 x (0.87)¹⁰
= 10000 x 0.248423

= $ 2,484.23

The points are as selected on the graph.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since f(x) = -9. What this means is that the value of f(x) will always be -9 irrespective of the value of x. That is:

x    f(x)

-2   -9

0    -9

2    -9

7    -9

9    -9

Check the attached image for the points on the graph

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We know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.

What are trigonometric ratios?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

We can use the following trigonometric ratios:

sin(A) = opposite/hypotenuse

cos(A) = adjacent/hypotenuse

In this case, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse:

opposite = BC = 9 units

adjacent = AB = 40 units

hypotenuse = AC = 41 units

Using these values, we can calculate the sine and cosine of angle A:

sin(A) = opposite/hypotenuse = 9/41

cos(A) = adjacent/hypotenuse = 40/41

Therefore, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.

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The correct sketch is B

The liquid range of water refers to the temperature range at which water exists as a liquid. At standard atmospheric pressure (1 atm), the liquid range of water is from 0 degrees Celsius to 100 degrees Celsius, or from 32 degrees Fahrenheit to 212 degrees Fahrenheit.

This means that water can exist as a liquid within this temperature range, but if the temperature falls below 0 degrees Celsius or rises above 100 degrees Celsius, it will freeze into a solid or boil into a gas, respectively.

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The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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Answer:

the sale price of the one-terabyte external hard drive is $274.13.

Step-by-step explanation:

To find the sale price of the one-terabyte external hard drive, we can use the following formula:

Sale price = Original price - Discount amount

where the discount amount is the amount by which the original price is reduced. The discount amount is equal to the discount rate times the original price. The discount rate is 21%, or 0.21, because the hard drive is on sale at a 21% discount.

Substituting the given values into the formula, we get:

Discount amount = 0.21 * $347 = $72.87

To find the sale price, we subtract the discount amount from the original price:

Sale price = $347 - $72.87 = $274.13

Therefore, the sale price of the one-terabyte external hard drive is $274.13.

Answer:

Customers are charged $0.003 per gallon of water used.

Step-by-step explanation:

In the given function, T = 35 + 0.003w, the coefficient of w (which is 0.003) represents the rate at which the total cost (T) increases per unit increase in the amount of water used (w). In other words, it is the cost per gallon of water used.

Therefore, the slope of the function is 0.003, and it represents the rate of change of the cost with respect to the amount of water used. Each additional gallon of water used will increase the monthly bill by $0.003.

Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

The maximum possible value of the result is 8.

How to solve Linear Equations?

We are given the linear equation;

4x - x = 0

From the linear equation above, seeing that we have an x that is raised to the power of one-third, and we have a single x variable, the first step would be to add x to both sides to get;

The first step to solving the equation is to; C. add x to both sides

The second step  to solving the equation is to; C. cube both sides

Solving the equation for x initially yields; C. two possible values

Checking the solutions shows that; D. none are valid solutions

4x - x + x = 0 + x

4x = x

Now, to remove the fraction root, what we will now do as the second step is to cube both sides to get;

(4x)³ = x³

4³x = x³

64x = x³

Divide both sides by x to get;

x² = 64

Take square root of both sides to get;

x = ±√64

x = ±8

Hence, The maximum possible value of the result is 8.

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Here, we let n be the number of sides of the regular polygon. Polygon area = n(12sh). As n increases, h approaches r so that rh approaches r² and hence, this statement is true. So, option 4 is the correct option.

When ns equals circumference or 2r, the polygon will turn into a circle.

A polygon must be converted into a circle.

Let s represent the polygon's side length, r represent the hypotenuse of the right triangle,

Let n be the regular polygon's number of sides and h be the height of the triangle.

The polygon's area is now specified as polygon area = n(1/2sh).

Now, we must suppose that the polygon's sides are infinite in order to obtain a circle. In order to do this, we must assume that the polygon's perimeter is the same as the circle's perimeter.

That's why when the number of sides of the polygon will increase its perimeter will become closer to 2πr and its area will become close to a circle.

The complete question that you might be looking for is-

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expressed in terms of the area of a triangle. Let s be the side length of the polygon, let r be the hypotenuse of the right triangle, let h be the height of the triangle, and let n be the number of sides of the regular polygon. polygon area = n(12sh) Which statement is true?

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With a weekly budget of $12, Mark will need to save money for 9 weeks, 5 days in order to purchase the guitar.

The value is said to be in its simplified form when divided through its smallest equivalent fraction. How to find the most basic form. Find common factors in the denominator and numerators. Verify a minority integer t verify if it qualifies like a prime number. A statement comprising two rotational symmetry and an equal sign in the middle is called an equation in mathematics. The general form of almost any equation contains the degrees of all variables in descending order. The conventional form of something like a linear equation is an x + b = 0. The general form of a mathematical expression with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional solutions. An identity holds true irrespective of the value given to the variables.

given

let the week be x

equation =  $55 + 12x = $169.00

55 + 12x = 169

12x = 169 - 55

12x = 114

x = 9.5

With a weekly budget of $12, Mark will need to save money for 9 weeks, 5 days in order to purchase the guitar.

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Answer:

By using trigonometric relations, we will see that:

AC = 15.6 in

AB = 8.4 in.

How to get the measures of the other two sides of the right triangle?

Here we have the right triangle where:

B = 90°

C = 40°

BC = 10 in.

Notice that is the adjacent cathetus to the angle C, then we can use the two relations:

sin(a) = (adjacent cathetus)/(hypotenuse).

tan(a) = (opposite cathetus)/(adjacent cathetus).

Where:

hypotenuse = AC

opposite cathetus = AB.

Then we will have:

sin(40°) = 10in/AC.

AC = 10in/sin(40°) = 15.6 in

tan(40°) = AB/10in

tan(40°)*10in = AB = 8.4 in.

So we can conclude that for the given right triangle we have:

AC = 15.6 in

AB = 8.4 in.

If you want to learn more about right triangles:

Step-by-step explanation:

(a) The probability that exactly 10 of the first 15 graded projects are from the second section can be calculated using the binomial probability formula:

P(X = 10) = (15 choose 10) * (35/60)^10 * (25/60)^5 = 0.0361

(b) The probability that at least 10 of the first 15 graded projects are from the second section can be calculated by summing the probabilities for 10, 11, 12, 13, 14, and 15:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0361 + 0.0132 + 0.0035 + 0.0007 + 0.0001 + 0.0000 = 0.0536

(c) The probability that at least 10 of the first 15 graded projects are from the same section can be calculated by summing the probabilities for 10, 11, 12, 13, 14, and 15 from both sections:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0361 + 0.0132 + 0.0035 + 0.0007 + 0.0001 + 0.0000 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0556

(d) The mean value and standard deviation of the number among these 15 that are from the second section can be calculated using the formulas for the mean and standard deviation of a binomial distribution:

mean = np = 15 * (35/60) = 8.75
standard deviation = sqrt(np(1-p)) = sqrt(15 * (35/60) * (25/60)) = 1.568

(e) The mean value and standard deviation of the number of projects not among these first 15 that are from the second section can be calculated using the formulas for the mean and standard deviation of a binomial distribution, with n = 45 (the remaining number of projects) and p = 35/60 (the probability of a project being from the second section):

mean = np = 45 * (35/60) = 26.25
standard deviation = sqrt(np(1-p)) = sqrt(45 * (35/60) * (25/60)) = 2.714

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Answer:

Step-by-step explanation:

Pour trouver la forme standard de l'équation d'une ellipse à partir des extrémités des grands axes et des petits axes, nous pouvons utiliser les formules suivantes:

Le centre de l'ellipse est le point (h, k), où h est la moyenne des coordonnées x des extrémités des grands axes et k est la moyenne des coordonnées y des extrémités des petits axes. Donc,

h = (2 + 8) / 2 = 5

k = (3 + 1) / 2 = 2

Donc, le centre de l'ellipse est (5, 2).

La distance a est la moitié de la longueur du grand axe, donc

a = (8 - 2) / 2 = 3

La distance b est la moitié de la longueur du petit axe, donc

b = (3 - 1) / 2 = 1

Maintenant, nous pouvons utiliser ces valeurs pour écrire l'équation de l'ellipse en forme standard:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

En substituant les valeurs trouvées précédemment, nous avons:

(x - 5)^2 / 3^2 + (y - 2)^2 / 1^2 = 1

Ce qui est la forme standard de l'équation de l'ellipse.

Answer:

15.4 is the answer

Stepson

a) The linear function is defined as follows: y = 1 - 0.2x.

b) The slope and the intercepts are interpreted as follows:

c) The battery power is at 75% after 1.25 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph touches the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

From the x-intercept, when x increases by 5, y decays by 1, hence the slope is given as follows:

m = -1/5

m = -0.2.

Hence the function is:

y = -0.2x + 1.

The battery power is of 75% = 0.75 when y = 0.75, as follows:

0.75 = -0.2x + 1

0.2x = 0.25

x = 0.25/0.2

x = 1.25 hours.

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Answer: CHINA

Step-by-step explanation:

IAS CHINADU

Answer:

Bhutan is the answer.

Answer:

10x-610x6

The equation 10x-610x6 has no real solutions because it cannot be solved for any value of x. The left side of the equation is 10x-6, and the right side is 10x+6. Since the left side is greater than the right side, no value of x can make the equation true.

The solution is, the total surface area is 92 sq. inches.

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

here, we have,

Total paper required = total surface area

Surface area of a cuboid = 2[(l×b) + (l×h) + (b×h)],

Where 'l' is the length, 'b' is the breadth and 'h' is the height

For the box, total surface area = 2[(8×3) + (3×2) + (8×2)]

=2[24 + 6 + 16]

=2[46]

= 92 sq. inches

Hence, The solution is, the total surface area is 92 sq. inches.

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