The function f(x) is graphed on the coordinate plane.

What is f(−4)?



Enter your answer in the box.

f(−4) =

Answer

Slope of the line is 2/3

Step-by-step explanation:

Given the slope-intercept equation

2x - 3y = 5

The standard form of the slope-intercept equation is

y = mx + b

where m = slope of the line

b = intercept of the y-axis

Rearrange the above equation

2x - 3y = 5

-3y = 5 - 2x

-3y = -2x + 5

Divide through by -3

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

y = 2x/3 - 5/3

Hence, the slope of the line is 2/3

We may multiply the magnitudes and add the angles to determine the product of the complex numbers 5 (cos 40° + i sin 40°) and 8 (cos 95° + i sin 95°).

The magnitudes are first multiplied: 5 x 8 = 40.

The angles are then added: 40° + 95° = 135°.

As a result, the product can be expressed as 40(cos 135° + i sin 135°) in polar form.

We can apply the following trigonometric identities to transform this into rectangular form:Sin() = sin(135°) = 2/2 cos() = cos(135°) = -2/2

Therefore, the rectangle product is 40 * (- 2/2 + i 2/2).

To further simplify, we have: -202 + 20i2.

In rectangular form, the complex numbers 5 (cos 40° + i sin 40°) and 8 (cos 95° + i sin 95°) are therefore multiplied by each other to provide -202 + 20i2.

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Answer:

perimeter = 8 pi

Step-by-step explanation:

Answer:

A reflection of the line segment across the y-axis

Step-by-step explanation:

hope you are having a great day ଘ(੭ˊᵕˋ)੭* ੈ✩‧₊˚

Answer:

B. a reflection of the line segment across the y-axis

In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.

Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

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Answer:

A. ( 2 , 0 )

Step-by-step explanation:

\(5x - 8y = 1\)

Let y = 0

\(5x-8(0) =10\)

Multiply ; 8×0=0

\(5x-0=10\)

Collect like terms and simplify

\(5x =10+0\\\\5x =10\)

Divide both sides of the equation by 5

\(\frac{5x}{5}= \frac{10}{5}\)

Simplify

\(x =2\\\\(2,0)\)

Answer:

Yes the answer is A. I just did this.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

21.18-17.92=3.26

Rounded its 3

Answer:

4:5

Step-by-step explanation:

Pls give brainliest

Answer:

the answer is B mark me brainliest please

Answer:

2 and 3.

Step-by-step explanation:

5.5 would be between t and 6, not 2 and 3. Answer is 2 and 3

Answer:

\(\\\sqrt[5]{26}\) ^ 9

Step-by-step explanation:

we can rewrite as  (26^1/5)^9  then u can write it as \(\\\sqrt[5]{26}\) ^ 9

BOOSH mathz

The five methods used to prove that two lines are parallel are: Corresponding angles theorem, Alternate interior angles theorem, Converse of corresponding angles theorem, Converse of alternate interior angles theorem, Converse of the same-side interior angles theorem.


To prove that two lines are parallel, we can use various methods. The corresponding angles theorem states that if the corresponding angles formed by a transversal and two lines are congruent, then the lines are parallel. The alternate interior angles theorem states that if the alternate interior angles formed by a transversal and two lines are congruent, then the lines are parallel. The converse of corresponding angles theorem and converse of alternate interior angles theorem state that if the lines are parallel, then the corresponding angles or alternate interior angles are congruent, respectively. The converse of the same-side interior angles theorem states that if the same-side interior angles formed by a transversal and two lines are supplementary, then the lines are parallel.

The third method is the converse of corresponding angles theorem. This converse states that if the lines are parallel, then the corresponding angles are congruent. The fourth method is the converse of alternate interior angles theorem. This converse states that if the lines are parallel, then the alternate interior angles are congruent. The fifth and final method is the converse of the same-side interior angles theorem. This converse states that if the same-side interior angles formed by a transversal and two lines are supplementary, then the lines are parallel.

These five methods provide different ways to prove that two lines are parallel. By using these theorems and their converses, we can confidently determine if two lines are parallel or not.

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Answer:

D) 0, 2, 7

Step-by-step explanation:

Hope this helps

x + x +2x + 2x = 64 is the right equation

How to check perimeter of rectangle ?

The formula for perimeter of rectangle is P = 2*(l+w)

we have perimeter , 64 = 2* (2x + x)

                                64  = x + x + 2x +2x

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The equations that show the properties of the exponents are a, c and d.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We know that there are few properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.

1) when we have

\((ab)^x\), it is the same as \(a^x b^x\)

2) When we have \(b^2 \times b^x\), it is the same as b² + x

3) When we have; x^-2, it is the same as 1/x²

These are the basics of the properties of the exponents as we can conclude in the question and these obey the properties of the exponents.

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In the context of Range Safety and Risk Mitigation, the ability to detect, assess, and respond to potential hazards is essential.

Range safety and risk mitigation involve identifying and minimizing potential hazards associated with range operations, such as the launch or test of rockets, missiles, or unmanned aerial vehicles. To ensure safety, it is critical to have the ability to detect and assess potential hazards, such as debris, vehicle or equipment malfunctions, and human error. Once hazards have been identified and assessed, the next step is to develop and implement appropriate safety measures to mitigate the risk associated with those hazards. These measures may include the use of safety protocols, engineering controls, or administrative procedures to ensure that all personnel and equipment are protected. In summary, the ability to detect, assess, and respond to potential hazards is critical for effective range safety and risk mitigation. By implementing appropriate safety measures and protocols, the risks associated with range operations can be minimized, ensuring the safety of personnel and equipment.

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Answer:

if im correct it should be 7 im sorry if im wrong

Step-by-step explanation:

other person was correct its 9 lo siento i tried atleast lol

Answer:

9

Step-by-step explanation:

I just good with math please trust me

Answer:

I couldn't understand your question, please send once more

Answer: GCF = 3

~~~~~~~~~~~~

Hope this helps!

Answer:

c. 29.3 cubic mi.

Step-by-step explanation:

Volume of cone: \(\pi\) × r² × \(\frac{h}{3}\)

Volume of cone = \(\pi\) × 2² × \(\frac{7}{3}\)

                           = 9\(\frac{1}{3}\)\(\pi\)

                           = 29.3 cubic mi. (rounded to 3 s.f.)

The standard form equation of the circle with the center (-1, 0) and circumference 8π is (x + 1)² + y² = 16.

To write the standard form equation of a circle, we use the formula:

(x - h)² + (y - k)² = r²

where (h, k) represents the center of the circle, and r represents the radius.

Given the center of the circle as (-1, 0) and the circumference of 8π, we can find the radius using the formula for circumference:

Circumference = 2πr

8π = 2πr

Dividing both sides by 2π:

4 = r

Now we have the center (-1, 0) and the radius r = 4. Plugging these values into the standard form equation, we get:

(x - (-1))² + (y - 0)² = 4²

Simplifying:

(x + 1)² + y² = 16

Therefore, the standard form equation of the circle with the center (-1, 0) and circumference 8π is (x + 1)² + y² = 16.

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Answer:

1,680

Step-by-step explanation:

If the population is increasing by 60 for the next 13 years, we must multiply 60 and 13 to get 780.

Then, we just add 780 to the original population to get 1,680!

The enrollment after 13 years will be 1680.

We have a whose school population is predicted to increase by 60 students per year for the next 13 years. Current enrollment in that school is 900 ​students.

We have to determine the enrollment be after 13 ​years.

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to question, we have -

Initial population P(i) = 900

Assume the population after the n years is P(n).

Number of students enrolled in 'n' years will be = 60n

Therefore, the following equation can be used -

P(n) = P(i) + 60n

For n = 13 years

P(13) = 900 + 60 x 13 = 900 + 780 = 1680

Hence, the enrollment after 13 years will be 1680.

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The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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Answer:

Step-by-step explanation:

The terms will be multiplied in order to get the simplified polynomials.

a. 6(x + 7)(x + 2)

\(6(x + 7)(x + 2)\\=6[x(x+2)+7(x+2)]\\=6(x^2+2x+7x+14)\\=6(x^2+9x+14)\\=6x^2+54x+84\)

The simplified form of 6(x + 7)(x + 2) is \(6x^2+54x+84\)

b. (2y – 5)^2

Using the formula: \((a-b)^2 = a^2+b^2-2ab\)

\(=(2y)^2+(5)^2-2(2y)(5)\\=4y^2+25-20y\)

The simplified form is: \(4y^2-20y+25\)

c. (5x + 4y)(2x - y)

\(=5x(2x-y)+4y(2x-y)\\=10x^2-5xy+8xy-4y^2\\=10x^2+3xy-4y^2\)

The simplified form of (5x + 4y)(2x - y) is \(10x^2+3xy-4y^2\)

d. (3x + 7)(3x – 7)

Using the formula: \((a+b)(a-b) = a^2-b^2\)

\(= (3x)^2-(7)^2\\= 9x^2-49\)

The simplified form of (3x + 7)(3x – 7) is \(9x^2-49\)

e. (t + 2) – (4t +9) – t

\(=t+2-4t-9-t\\=t-4t-t+2-9\\= -4t-7\)

The simplified form of (t + 2) – (4t +9) – t is \(-4t-7\)

Hence,

a. The simplified form of 6(x + 7)(x + 2) is \(6x^2+54x+84\)

b. The simplified form is: \(4y^2-20y+25\)

c. The simplified form of (5x + 4y)(2x - y) is \(10x^2+3xy-4y^2\)

d. The simplified form of (3x + 7)(3x – 7) is \(9x^2-49\)

e. The simplified form of (t + 2) – (4t +9) – t is \(-4t-7\)

Thus, the current takes roughly 3.3 time constants to drop to 1/e of its starting value.

An RC circuit's time constant is the length of time it takes for the current to drop to 1/e (or around 0.368) of its starting value. Option E, "1/e," is the correct response, therefore.

The equation: gives the time constant () of an RC circuit.

τ = RC

where C is the capacitance in farads and R is the resistance measured in ohms. A crucial factor in deciding how the circuit will behave is the time constant, which measures the rate at which the capacitor charges or discharges through the resistor.

The voltage across the capacitor will be approximately 63.2% of its final value after one time constant, and the current will be roughly 36.8% of its original value. Thus, the current takes roughly 3.3 time constants to drop to 1/e of its starting value.

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Hope this answer image helps you ...

By Benjemin

Answer:

Step-by-step explanation: I think this is the answer

Tina planted 75 plants and only 48 grow

To know how much is lost we subtract 75 from 48 which gives us 27

75-48=27

Answer:

To compare who saves the most of their salary each month among Amy, John, and Emily, we need to calculate the amount of salary each person saves.

Let's assume that the monthly salary of each person is 'S'. Then we can calculate the amount saved by each person as follows:

Amy:

Amount saved = 20% of S = 0.2S

Amount spent = S - 0.2S = 0.8S

John:

Amount spent = 2/5 of S = (2/5)S

Amount saved = S - (2/5)S = (3/5)S

Emily:

Let's assume that Emily saves '5x' and spends '8x' of her monthly salary.

Then, according to the question, we have:

Amount saved = 5x

Amount spent = 8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

Amount saved / Amount spent = 5/8

Substituting the values of amount saved and amount spent, we get:

5x / 8x = 5/8

5x = (5/8) x 8x

5x = 5x

Therefore, the ratio of amount saved to amount spent is equal to 5:8. This means that Emily saves 5/13 of her monthly salary and spends 8/13 of her monthly salary.

So, the amount saved by each person is:

Amy: 0.2S

John: (3/5)S

Emily: 5/13 of S

Now, we need to compare these amounts to find out who saves the most.

To compare these amounts, we can write them in terms of a common denominator:

Amy: 0.2S

John: (3/5)S = (0.6)S

Emily: (5/13)S = (0.3846)S (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

Working out:

Let's assume that each person earns $1000 per month.

Amy:

Amount saved = 20% of $1000 = $200

Amount spent = $800

John:

Amount spent = 2/5 of $1000 = $400

Amount saved = $1000 - $400 = $600

Emily:

Let's assume that Emily saves $5x and spends $8x of her monthly salary.

Then, we have:

Amount saved = $5x

Amount spent = $8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

$5x / $8x = 5/8

Solving for x, we get:

x = 8/13

Substituting the value of x, we get:

Amount saved = $5 x (8/13) x $1000 = $384.62 (approx.)

Amount spent = $8 x (8/13) x $1000 = $615.38 (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.