What is the slope of a line parallel to the line whose equation is
8x-6y=-24

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

Answer:

x = 6

Step-by-step explanation:

14 = 4x - 10

24 = 4x

x = 6

The speed of the train in miles per hour which is the ratio of the total distance covered and the total time taken to cover the distance is 9.79 mph

Recall :

Speed in miles per hour = Distance covered / time taken

Therefore, the speed of the train in miles per hour as calculated from the distance covered by the train over a certain period of time is 9.79 mph

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Answer:

12.5%

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Step-by-step explanation:

Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing

If p(6)= 4107 that means after 6 years there would be a total population of 4107

Answer:  see below

Step-by-step explanation:

Multiply the coefficient by the exponent and reduce the coefficient by 1.

1) f'(x) = 10

2) f'(x) = 12x³ + 4x - 5

3) f'(x) = 6x² + 7

4) f'(x) = 20x + 20

5) f'(x) = 20x + 23

Answer:

Step-by-step explanation:

V = π r^2 h so 384 = r^2 (6)

384/6 =  r^2 so

64 =  r^2

8 =  r

Answer:

60 cubic inches

Step-by-step explanation:

first find the area of the right triangle then multiply by 10 in.

=> (3 × 4 ÷ 2) × 10

=> 60 in.³

Answer:

hundredths

Step-by-step explanation:

The probability or chance of Tara being selected is 1/29.

Probability is the chance of happening something or the occurrence of something . We can also define the probability as the chance of occurring or the chance of selecting something from the total set of value. It is always ranges from 0 to 1 where 0 is minimum value and 1 is maximum value of probability.

Formula for probability is :

\(P(Event) =\frac{ Chance \ of \ occurring \ that \ event}{total \ occurance}\)

where, the total occurrence is the sample space of our given data or we can say the total number of values in the sample space.

In the given question,

Chance of selecting Kenny = 1 / 29

=> P(Kenny is selected) = 1/29

That means sample space consist of 29 values.

Now, P(Tara is selected) = 1 / sample space

=> P(Tara is selected) = 1/29.

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The complete question is :

Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?

Answer:

r= \(2\sqrt{2}\)

r= -\(2\sqrt{2}\)

Step-by-step explanation:

8=\(r^{2}\)

Square root both sides of the equation.

r= \(2\sqrt{2}\)

r= -\(2\sqrt{2}\)

Answer:

The answer is C

Step-by-step explanation:

Answer:180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

Answer:

1035 feet in 3 hours

The equation for the temperature, d, in terms of t (the number of hours since midnight), is:  d = 16 × sin((π/12) × t) + 55

To find an equation for the temperature, we need to determine the amplitude, period, phase shift, and vertical shift of the sinusoidal function.

The amplitude is half the difference between the high and low temperatures, which is (71 - 39) / 2 = 16 degrees. The period is the number of hours in a day, which is 24 hours. Since the temperature is at its highest point at 12:00 PM (midday), there is no phase shift. The vertical shift is the average of the high and low temperatures, which is (71 + 39) / 2 = 55 degrees.

Putting these values together, the equation for the temperature, d, in terms of t can be written as:

d = 16 × sin((2π/24) × t) + 55

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Answer:

17<9+x

Step 1: Simplify both sides of the inequality.

17<x+9

Step 2: Flip the equation.

x+9>17

Step 3: Subtract 9 from both sides.

x+9−9>17−9

x>8

Answer:

x>8

Step-by-step explanation:

Step-by-step explanation:

the answer is b

need to add extra letters

The square of the longest side (121) is equal to the sum of the squares of the other two sides (221). Triangle 3 is a right triangle.

To determine if a triangle is a right triangle, we need to check if the square of the longest side is equal to the sum of the squares of the other two sides, according to the Pythagorean theorem.

Let's calculate the square of the longest side for each triangle and see if it satisfies the Pythagorean theorem:

Triangle 1:

Longest side: 20√425

Other sides: 5, 14

Calculating the squares:

(20√425)^2 = 20^2 * (√425)^2 = 400 * 425 = 170,000

5^2 + 14^2 = 25 + 196 = 221

The square of the longest side (170,000) is not equal to the sum of the squares of the other two sides (221). Therefore, Triangle 1 is not a right triangle.

Triangle 2:

Longest side: 21

Other sides: 10, 6

Calculating the squares:

21^2 = 441

10^2 + 6^2 = 100 + 36 = 136

The square of the longest side (441) is not equal to the sum of the squares of the other two sides (136). Therefore, Triangle 2 is not a right triangle.

Triangle 3:

Longest side: 11

Other sides: 10, 11

Calculating the squares:

11^2 = 121

10^2 + 11^2 = 100 + 121 = 221

The square of the longest side (121) is equal to the sum of the squares of the other two sides (221). Therefore, Triangle 3 is a right triangle.

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Answer:

no

Step-by-step explanation:

2 · (-10) -5 < -7

-20 - 5 < -7

-25 < -7

ok

-10 -5 ≥ -6

-15 ≥ -6

false

Answer:

not a solution

Step-by-step explanation:

to determine if (- 10, 5 ) is a solution to the system of inequalities.

substitute the coordinates of the point into the left side of both inequalities and compare the result to the right side.

Both inequalities must be true for the point to be a solution.

2x - y = 2(- 10) - 5 = - 20 - 5 = - 25 < - 7 ← true

x - y = - 10 - 5 = - 15 < - 6 ← false

since both inequalities are not true then (- 10, 5 ) is not a solution

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = \(\frac{4}{3} \pi r^2\)

Substitute 1 in for r

\(\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189\) = Volume

Finding the Height of a Cone

Volume formula for Cone: \(V = \pi r^2\frac{h}{3}\)

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

\(h = \frac{3V}{\pi r^2}\)

Plug in the volume and the radius.

\(h = \frac{3(4.189)}{\pi (1)^2}\)

Simplify

\(h = \frac{12.567}{\pi }\)

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

There are 12,376 different groups of six passengers that can be selected from the plane flight of 17 passengers.

To calculate the number of different groups of six passengers that can be selected from a plane flight with 17 passengers, we can use the concept of combinations.

The number of ways to choose a subset of k items from a set of n items is given by the combination formula:

C(n, k) = n! / (k!(n-k)!)

In this case, we need to select 6 passengers from a group of 17. Thus, we can calculate the number of different groups using the combination formula:

C(17, 6) = 17! / (6!(17-6)!)

        = 17! / (6!11!)

        = (17 * 16 * 15 * 14 * 13 * 12) / (6 * 5 * 4 * 3 * 2 * 1)

        = 12376

Therefore, there are 12,376 different groups of six passengers that can be selected from the plane flight of 17 passengers.

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The answer is 80, because if you work backwards, you add 30 by 10, which equals 40, 40*2 equals 80.

Answer:

The answer to the equation is B.

Step-by-step explanation:

Answer:

i took the test and its B

Step-by-step explanation:

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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The value of x for the given quadratic expression is x = 5 ± √11.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x-5)²=33. The value of x will be calculated as,

3(x-5)²=33

(x - 5 )² = 11

(x - 5 )  = ±√11

x = 5 ± √11

Therefore, the value of x for the given quadratic expression is x = 5 ± √11.

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Answer:

a) b, d, a

b) none

c) plane adb

d) adb

im prob wrong just need you to mark brainliest!

Answer:

$145

Step-by-step explanation:

10×12=120+25=145

The possible rational zeros for the polynomial function P(x)=21x^(3)-38x^(2)+44x-10 are ±1, ±2, ±5, ±10, ±1/3, ±2/3, ±5/3, ±10/3, ±1/7, ±2/7, ±5/7, ±10/7, ±1/21, ±2/21, ±5/21, ±10/21.

The possible rational zeros of a polynomial function can be determined using the Rational Zero Theorem. This theorem states that if a polynomial function has rational zeros, they will be in the form of p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

In the given polynomial function, P(x)=21x^(3)-38x^(2)+44x-10, the constant term is -10 and the leading coefficient is 21. The factors of -10 are ±1, ±2, ±5, ±10 and the factors of 21 are ±1, ±3, ±7, ±21.

Using the Rational Zero Theorem, the possible rational zeros are:

p/q = ±1/1, ±2/1, ±5/1, ±10/1, ±1/3, ±2/3, ±5/3, ±10/3, ±1/7, ±2/7, ±5/7, ±10/7, ±1/21, ±2/21, ±5/21, ±10/21

Simplifying these fractions gives us the possible rational zeros:

±1, ±2, ±5, ±10, ±1/3, ±2/3, ±5/3, ±10/3, ±1/7, ±2/7, ±5/7, ±10/7, ±1/21, ±2/21, ±5/21, ±10/21

Therefore, the possible rational zeros for the polynomial function P(x)=21x^(3)-38x^(2)+44x-10 are ±1, ±2, ±5, ±10, ±1/3, ±2/3, ±5/3, ±10/3, ±1/7, ±2/7, ±5/7, ±10/7, ±1/21, ±2/21, ±5/21, ±10/21.

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Answer:

8 x^4 + -26 x^2 + 21

Step-by-step explanation:

Expand the following:

(2 x^2 - 3) (4 x^2 - 7)

Hint: | Multiply 2 x^2 - 3 and 4 x^2 - 7 together using FOIL.

(2 x^2 - 3) (4 x^2 - 7) = (2 x^2) (4 x^2) + (2 x^2) (-7) + (-3) (4 x^2) + (-3) (-7):

2 4 x^2 x^2 - 3 4 x^2 - 7 2 x^2 - 3 (-7)

Hint: | Combine products of like terms.

2 x^2×4 x^2 = 2 x^4×4:

8 x^4 - 3 4 x^2 - 7 2 x^2 - 3 (-7)

Hint: | Multiply 2 and 4 together.

2×4 = 8:

8 x^4 - 3 4 x^2 - 7 2 x^2 - 3 (-7)

Hint: | Multiply -7 and 2 together.

-7×2 = -14:

8 x^4 - 3 4 x^2 + -14 x^2 - 3 (-7)

Hint: | Multiply -3 and 4 together.

-3×4 = -12:

8 x^4 + -12 x^2 - 14 x^2 - 3 (-7)

Hint: | Multiply -3 and -7 together.

-3 (-7) = 21:

8 x^4 - 12 x^2 - 14 x^2 + 21

Hint: | Group like terms in 8 x^4 - 12 x^2 - 14 x^2 + 21.

Grouping like terms, 8 x^4 - 12 x^2 - 14 x^2 + 21 = 8 x^4 + (-14 x^2 - 12 x^2) + 21:

8 x^4 + (-14 x^2 - 12 x^2) + 21

Hint: | Combine like terms in -14 x^2 - 12 x^2.

-14 x^2 - 12 x^2 = -26 x^2:

Answer: 8 x^4 + -26 x^2 + 21

Answer:

\(8x^{4} - 26x^{2} + 21\)

Step-by-step explanation:

I am assuming the equation is this: \((2x^{2}-3)(4x^{2}-7)\).

We can the distributive property to solve this:

\((2x^{2}-3)(4x^{2}-7)\\= 8x^{4} - 14x^{2} - 12x^{2}+21\\= 8x^{4} - 26x^{2}+21\)