pls help :(

all real numbers that are between -5 and 7

Answer:

(x-1)(x+4)

Step-by-step explanation:

\(x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)\)

The price should be higher than the AVC and ATC in order to make a profit in the short term. Therefore, in order to achieve the requisite profit, the MR curve must rise above cost = 7.

When businesses in a cutthroat sector start making money, it opens the door for more businesses to enter the market, which leads to a shift to the right in the supply curve, a drop in price, and the return of all businesses to a state of no economic profit.

If the market price is lower than the average total cost, a company will experience positive economic profit in the short term.

In the short run, a monopolistically competitive firm optimises profits or avoids losses by producing the amount where marginal revenue equals marginal cost. If the average total cost is less than the market price, the company will make a profit.

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the height decreases

..

Answer:

Step-by-step explanation:

Start

<F = <Q                     Given

<GPF = <RPQ           Vertically opposite angles

<FGP = <QRP            A triangle has 180 degrees. 2 equal angles means the third pair must be equal

Triangle GPF ~ Triangle RPQ   AAA

end

I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.

20

JL/LE = 90/27                 Given

KL /LD = 90/27               Given

<JLK = <DLK                   Vertically opposite

Are the ratios equal       Yes  Then is the angle included Yes

Then the triangles are similar.

Are the ratios not equal  No then the triangles cannot be similar

Is the angle not included  Then similarity cannot be proved.

ΔJLK ≈ ΔDLK                  Equal Ratios and included angle === similarity

9514 1404 393

Explanation:

19) ∠F ≅ ∠Q; ∠FPG ≅ ∠QPR  ⇒  ∆FPG ~ ∆QPR (AA)

__

20) LE/LK = 3/10; ∠ELD ≅ ∠KLJ; LD/LJ = 3/10*  ⇒  ∆ELD ~ ∆KLJ (SAS)

* the ratios are the same, hence the sides are proportional

_____

The above format A; B; C ⇒ (similarity statement) (postulate) is intended to be sufficient for you to fill in a flowchart diagram similar to the one attached.

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

The area of the sector rounding to the nearest tenth is C. 8377.6 \(cm^2\).

The law of cosines is a formula used to find the length of a side or the measure of an angle in a non-right triangle (a triangle that does not have a 90-degree angle).

According to given information:

To find the area of the windshield swept by the wiper blade, we can consider it as a sector of a circle with radius equal to the length of the segment swept by the wiper blade. The length of this segment can be found using the law of cosines:

\(c^2 = a^2 + b^2 - 2ab cos(C)\)

where a and b are the lengths of the sides adjacent to the angle C, and c is the length of the side opposite to the angle C.

In this case, we have:

a = 80 cm (length of the wiper blade)

b = 90 cm (length of the swing arm)

C = 120 degrees (angle swept by the swing arm)

Substituting these values, we get:

\(c^2 = 80^2 + 90^2 - 2(80)(90)cos(120)\)

\(c^2\) ≈ \(20418\)

\(c\) ≈ \(142.8 cm\)

So the radius of the circle is approximately 142.8 cm. The central angle of the sector is 120 degrees, so its measure in radians is 2π/3. Therefore, the area of the sector is:

A = (1/2) * \(r^2\) * θ

A = (1/2) * \((142.8)^2\) *\((2\pi /3)\)

A ≈ 8377.6 \(cm^2\)

Rounding to the nearest tenth, we get the answer as C. 8377.6 \(cm^2\).

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Answer:

Step-by-step explanation:

I remember leaving a top of ten percent (15%)

lets convert 15% into a decimal

15%=0.15

Tip=0.15x, where x is the bill price

Tip=0.15*34

Tip=5.1

So he could get  5$ and 10 cents as a tip

Answer:

24

Step-by-step explanation:

56/7=8

8x3=24

Answer:

\(3x - 4y + z = 1\)

Step-by-step explanation:

Given

\(Point\ 1 = (4,3,1)\)

\(Point\ 2 = (4,1,-7)\)

Perpendicular to \(8x + 7y + 4z = 18\)

Required

Determine the plane equation

The general equation of a plane is:

\(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

For \(n = <a,b,c>\)

\((x_1,y_1,z_1) = (4,3,1)\)

\((x_2,y_2,z_2) = (4,1,-7)\)

First, we need to determine parallel vector \(V_1\)

\(V_1 = <x_1 - x_2, y_1 - y_2, z_1 - z_2>\)

\(V_1 = <4 - 4, 3 - 1, 1 - (-7)>\)

\(V_1 = <0,2,8>\)

\(V_1\) is parallel to the required plane

From the question, the required plane is perpendicular to \(8x + 7y + 4z = 18\)

Next, we determine vector \(V_2\)

\(V_2 = <8,7,4>\)

This implies that the required plane is parallel to \(V_2\)

Hence: \(V_1\) and \(V_2\) are parallel.

So, we can calculate the cross product \(V_1 * V_2\)

\(V_1 = <0,2,8>\)

\(V_2 = <8,7,4>\)

\(n = V_1 * V_2\)

\(V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]\)

The product is always of the form + - +

So:

\(V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]\)  \(-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]\) \(+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]\)

Calculate the product

\(V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)\)

\(V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)\)

\(V_1 * V_2 = i(-48) - j(- 64) + k(- 16)\)

\(V_1 * V_2 = -48i +64j - 16k\)

So, the resulting vector, n is:

\(n = <-48,64,-16>\)

Recall that:

\(n = <a,b,c>\)

By comparison:

\(a = -48\)   \(b = 64\)   \(c = -16\)

Substitute these values in \(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

\(-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0\)

Recall that:\((x_1,y_1,z_1) = (4,3,1)\)

So, we have:

\(-48(x-4) + 64(y - 3) -16(z-1) =0\)

\(-48x + 192 + 64y -192 - 16z +16 = 0\)

Collect Like Terms

\(-48x + 64y - 16z = 0 - 192 + 192 - 16\)

\(-48x + 64y - 16z = -16\)

Divide through by -16

\(3x - 4y + z = 1\)

Hence, the equation of the plane is\(3x - 4y + z = 1\)

Number 1

56.5 kaings each weighing 18.75 kilograms

56.5 × 18.75 = 1059.375 kilograms

Answer : 1059.375 kilograms

Number 2 (A)

$24.25 a kilo and 18.75 kilograms for one kaings

18.75 × $24.25 = $454.6875

Answer : $454.69

Number 2 (B)

$24.25 a kilo and 1059.375 kilograms

1059.375 × $24.25 = 25 689.84

Answer : $25 689.84

Number 3

1.5 kilograms free for each kaing

18.75 - 1.5 = 17.25 kg

17.25 kg × 56.5 kaings × $18 247.21875

Answer : $18 247.22

The elimination method involves adding or subtracting the two equations to cancel out one of the variables and obtain a single equation in one variable. We can then solve for that variable, and then use the original equations to find the other variable.

What does "system of equations" mean?

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

Here's the work for the given system of equations:

7x - 2y = 35

4x + 5y = -23

Multiplying the second equation by 2:

8x + 10y = -46

Adding the two equations to eliminate x:

15y = -11

Dividing both sides by 15 to solve for y:

y = -11/15

Using the first equation to find x:

7x - 2(-11/15) = 35

Expanding and solving for x:

7x + 22/15 = 35

Subtracting 22/15 from both sides:

7x = 35 - 22/15

Simplifying the right side:

7x = 35 - 22/15

7x = 77/15

Dividing both sides by 7 to solve for x:

x = 11/15

The solution to the system is (x,y) = (11/15, -11/15).

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Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

-13/-5 is the opposite of 13/5. Hope this helps :)

The equation of a line is y  = -6x + 8 if the line is perpendicular to the line t and passes through (2, -4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The slope of the line t:

M = 1/6

The slope of the line which is perpendicular to the line t

m = -6

The equation of the line:

y + 4 = -6(x - 2)

y = -6x + 12 - 4

y  = -6x + 8

Thus, the equation of a line is y  = -6x + 8 if the line is perpendicular to the line t and passes through (2, -4).

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Area of pool = 2 x area of sector + 2 x area of triangle

Area of sector =

(2.21/2π) * π * (30)² = 994.5 ft^2

Area of triangle =

1/2 bh = 1/2 x 20 x 25 = 250 ft^2

Area of pool = 2(994.5 + 250)

= 2489 ≈ 2490 ft^2

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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The value of j is equal to 9√3 meters.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the sides are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side).

Note: j is the side opposite to the 60° angle.

The side opposite to the 60° angle, j = 9 × √3

The side opposite to the 60° angle, c = 9√3 meters.

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Answer:

Step-by-step explanation:

7000

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

The volume of the Erlenmeyer flask when filled with water is 249 cm³.

Volume is a measure of the amount of three-dimensional space an object occupies. It is measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³). Volume is an important concept in many areas of science, including physics, chemistry and geology. It can also be used to describe the capacity of a container, such as a bottle, or the amount of liquid it can hold. Knowing the volume of a substance or object is important in many everyday situations, from measuring food portions to calculating the amount of paint needed to cover a wall.

This is calculated by subtracting the weight of the empty flask (246.3 g) from the weight of the flask filled with water (495.0 g) and then dividing by the density of water (1.00 g/cm³).

When filled with chloroform, the flask and its contents weigh 581.1 g. To calculate this, we multiply the density of chloroform (1.48 g/cm³) by the volume of the flask (249 cm³), which gives us 371.52 g. We then add the weight of the flask (246.3 g) to the weight of the chloroform (371.52 g), which gives us a total of 617.82 g. The weight of the flask when filled with chloroform is 581.1 g.

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To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

I believe the answer is V = 2.56

Step-by-step explanation:

10.24 divided by 4 is 2.56. And 2.56 times 4 is 10.24.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Given,

The coordinates of the point on the circle is (-4, -2).

The coordinates of the center of the circle is (-8, -10).

Reuired

The length of the center of the circle.

By using the distance formula, the radius of the circle can be calculated.

The distance formula is,

Substituting the value of the coordinates of the points,

Hence,