FAST IT IS TIMED WILL MARK BRAILIEST Oliver incorrectly states that the expression Tangent (StartFraction 3 pi Over 4 EndFraction + x) can be simplified as –1. Review Oliver’s work. Tangent (StartFraction 3 pi Over 4 EndFraction + x) Equals StartFraction tangent (three-fourths pi) + tangent (x) Over 1 minus tangent (three-fourths pi) tangent (x) EndFraction Equals StartFraction negative 1 + tangent (x) Over 1 minus (negative 1) tangent (x) EndFraction Equals StartFraction negative 1 + tangent (x) Over 1 + tangent (x) EndFraction = –1 Which statement explains why Oliver is incorrect The expression StartFraction negative 1 + tangent (x) Over 1 + tangent (x) EndFraction does not simplify to –1. The expression Tangent (three-fourths pi) does not have a value of –1. The expression 1 minus (negative 1) tangent (x) simplifies to 2 tangent (x), not 1 + tangent (x). The expression Tangent (Three-fourths pi + x) is equivalent to Tangent (three-fourths pi) + tangent (x), not StartFraction tangent (three-fourths pi) + tangent (x) Over 1 minus tangent (three-fourths pi) tangent (x) EndFraction.

Answer:

3.2

Step-by-step explanation:

2e = 6.4

dividing through by 2 in order to make e the subject of the equation

e = 6.4/2

e =3.2

The quadratic function with leading coefficient 1 and roots of 22 and p is: f(x) = x^2 - (p + 22)x + 22p

To write a quadratic function with leading coefficient 1 and roots of 22 and p, we can use the fact that the roots of a quadratic function in standard form (ax^2 + bx + c) can be found using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

Given that the leading coefficient is 1, the quadratic function can be written as:

f(x) = (x - 22)(x - p)

Expanding this expression:

f(x) = x^2 - px - 22x + 22p

Rearranging the terms:

f(x) = x^2 - (p + 22)x + 22p

For more information on quadratic function visit: brainly.com/question/14620824

#SPJ11

Answer:

Hi again lol. It is complementary so it would equal to 90. The equation is 6x+1+29=90

Step-by-step explanation:

6x+1+29=90

6x+30=90

6x=60

divide both by 6

x=10

Answer: 10

Hope that helped! :)

Answer:

- 0.8 = - 0.8

n = - 2 is a solution.

Step-by-step explanation:

1.4n + 2 = 2n + 3.2

1.4(- 2) + 2 = 2(- 2) + 3.2

- 2.8 + 2 = - 4 + 3.2

- 0.8 = - 0.8

How to solve

1.4n + 2 = 2n + 3.2

1.4n + 2 - 2 = 2n + 3.2 - 2

1.4n = 2n + 1.2

1.4n - 2n = 2n - 2n + 1.2

- 0.6n = 1.2

- 0.6n ÷ - 0.6 = 1.2 ÷ - 0.6

n = - 2

An equation that uses a unit fraction and a whole number to write a multiplication equation equal to 712 can be represented as:

712 = (1/N) * X

Where N is the unit fraction and X is the whole number. To find the values of N and X, we can isolate X on one side of the equation and divide both sides by (1/N):

X = (712 * N) / (1)

X = 712 * N

Now we can substitute the value 712 for the right side of the equation:

X = 712 * N

X = 712 / (1/N)

Finally, we can simplify the equation by dividing 712 by the reciprocal of N:

X = 712 * N

X = 712 / (1/N)

X = 712 * N / (1/N)

X = 712 * N * N

Now we have an equation in which X is equal to 712 times N times N. To find the values of N and X, we can use trial and error or other mathematical methods.

It is important to note that there may be multiple solutions to this equation, as there can be many unit fractions and whole numbers that multiply to equal 712. The goal is to find a combination of N and X that satisfies the equation and produces the desired result.

In conclusion, writing a multiplication equation equal to 712 using a unit fraction and a whole number is a common mathematical problem that can be solved by isolating the variable and dividing both sides by the unit fraction.

To know more about  whole number click here:

brainly.com/question/29766862

#SPJ4

Answer:

--------------------------------------

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x + 3y - 30 = 0     .

In the question ,

it is given that ,

the required line passes through the points (3,5) and and cuts off the least area from the first quadrant .

Suppose that the line passes through the (t , 0) and (3 , 5) . , where t > 0 .

So , the y intercept will be (0 , 5t/(t - 3))

So , the area of the  triangle in the first quadrant will be ,

= (1/2)×t × 5t/(t - 3)

= 5t²/2(t - 3) .

Differentiating the given area with respect to t ,

we get ,

d/dt 5t²/2(t - 3)  = 5t/(t-3) - 5t²/2(t-3)²

= 5t/2(t-3)²  × (2(t-3)-t)

= 5t/2(t-3)²  × (t-6)

So , the zero of the derivative will be at t = 6 .

So , the points will be (6,0) and (3,5) .

the equation of the line passing through the points (6,0) and (3,5) is

5x + 3y - 30 = 0 .

Therefore , the equation of the line is 5x + 3y - 30 = 0    .

Learn more about Equation Of Line here

https://brainly.com/question/18917351

#SPJ4

Answer:

$40

Step-by-step explanation:

500x4x2x/100

Answer:

24 millilitres acid

28 millilitres base

Step-by-step explanation:

First, we need to know how many parts there are in total. We do this by adding the number of parts of acid (6) and base (7). 6+7=13

Then, divide 52 by 13 to find out how many millilitres makes up a part.

52/13=4

Then you multiply this by the number of parts for each substance.

4x6=24 millilitres acid

4x7=28 millitres base

a) The value √2/2 corresponds to the cosine of π/4 or 45 degrees

b) The solutions for the equation 2cos(nπ/4) - √2 = 0 in radians are approximately x = 0.785, 2.356, 3.927, 5.498, ...

a) To solve the multiple-angle equation 2cos(nπ/4) - √2 = 0, we can rearrange the equation as follows:

2cos(nπ/4) = √2

Divide both sides by 2:

cos(nπ/4) = √2/2

The value √2/2 corresponds to the cosine of π/4 or 45 degrees, which is a known value. It means that the equation holds true for any angle nπ/4 where the cosine equals √2/2.

b) To find the solutions, we can express the angles in terms of π/4:

nπ/4 = π/4, 3π/4, 5π/4, 7π/4, ...

We can simplify these angles:

nπ/4 = π/4, 3π/4, 5π/4, 7π/4, ...

Now, we can convert these angles to radians:

nπ/4 ≈ 0.785, 2.356, 3.927, 5.498, ...

Therefore, the solutions for the equation 2cos(nπ/4) - √2 = 0 in radians are approximately x = 0.785, 2.356, 3.927, 5.498, ... (as a comma-separated list).

To learn more about trigonometry

https://brainly.com/question/31614326

#SPJ11

Answer:

work is shown and pictured

Anwser 52 degrees

Step-by-step explanation:

first you figure out the 2 angles the triangle is missing so 28-90 would be 62

then to find the other unknown angle you solver for the larger triangle

so 90+48=138

180-138=42

42+62=104

104+2y-30=180

add 30

104+2y=210

-104

2y=106

divide by 2

y=53

I did it wrong :) don't pay attention to this comment XP

The exact length of the curve is    \(e^{3}\) + 11

given that

x = \(e^{t}\) - 4t , y = 8\(e^{\frac{t}{2} }\) ,   0 ≤ t ≤ 3

we need to find the exact length of the curve

=\(\int\limits^b_a\)\(\sqrt{(\frac{dx}{dt} )^{2} + (\frac{dy}{dt} )^{2} }\)dt

\(\frac{dx}{dt}\) =  \(e^{t}\) - 4 , \(\frac{dy}{dt}\) = 8\(e^{\frac{t}{2} }\)(\(\frac{1}{2}\))  = 4 \(e^{\frac{t}{2} }\)

=\(\int\limits^3_0\)\(\sqrt{(e^{t} )^{2} + (4e^{\frac{t}{2} } )^{2} }\)dt

=\(\int\limits^3_0\)\(\sqrt{e^{2t} + 16e^{t} + 16 - 8e^{t} }\)dt

=\(\int\limits^3_0\)\(\sqrt{e^{2t} + 8e^{t} + 16 }\)dt

=\(\int\limits^3_0\)\(\sqrt{(e^{t} + 4 )^{2} }\)dt

=\(\int\limits^3_0\) \(e^{t}\) + 4

=(\(e^{3}\) + 4(3)) - ( \(e^{0}\) + 4(0))

= \(e^{3}\)  + 12 - 1

=  \(e^{3}\)  + 11

The exact length of the curve is    \(e^{3}\) + 11

To learn more about length:

https://brainly.com/question/8552546

#SPJ4

The parameterized plane that contains the three points is r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).

To parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10), we can use a vector equation.

We can choose any of the given points as r. Let's choose (1,−2,−5) as our r

r = (1,−2,−5).

To find v, we need to subtract r from any two points on the plane. Let's choose (−10,−6,−12) and (15,20,10) as our points.

⃗v = (−10,−6,−12) - (1,−2,−5) = (−11,−4,−7).

Similarly, we can subtract r from another pair of points. Let's choose (−10,−6,−12) and (15,20,10) again.

⃗w = (15,20,10) - (1,−2,−5) = (14,22,15).

Now we have all the necessary components to parameterize the plane.

r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).

To know more about parameterize here

https://brainly.com/question/14762616

#SPJ4

The ratio to compare green eyes to brown eyes in the given table is 1:7.

The ratio to compare green eyes to brown eyes is 3:21, which can be simplified to 1:7.

To find the percentage equivalent, we can use the formula: (part/whole) x 100. So, (18/30) x 100 = 60%. Therefore, the percent equivalent to 18 over 30 is 60%.

It should be noted that to find how many times Ronnie hit the ball, we can use the formula: (percentage/100) x total. So, (60/100) x 50 = 30. Therefore, Ronnie hit the ball 30 times.

In order tp find the unit rate per book, we can divide the total cost by the number of books. So, $71.94/6 = $11.99. Therefore, the unit rate per book is $11.99.

Since 1 pound is equal to 16 ounces, we can convert 6 pounds to ounces by multiplying by 16. So, 6 x 16 = 96. Therefore, there are 96 ounces of peanuts in the container.

In order to find the value of 60% of 150, we can use the formula: (percentage/100) x total. So, (60/100) x 150 = 90. Therefore, 60% of 150 is 90.

Learn more about word problem on

https://brainly.com/question/21405634

#SPJ1

Answer:

I guess the slope would be 0. Here’s a story

An old man works at a subway for 7$ per hour. One day he passed away and couldn’t come to his job anymore. What would be the slope of dollars per hour after the old man had died?

Step-by-step explanation:

Slope is 0 because rise and run are both 0

0/0 = 0

Yeah. At least i think

Answer:

Step-by-step explanation:

We can simplify the expression √5 × √12 × √50 as follows:

√5 × √12 × √50 = √(5 × 12 × 50)

To simplify the product under the square root, we can factor the numbers into their prime factors:

5 = 5

12 = 2^2 × 3

50 = 2 × 5^2

Therefore, 5 × 12 × 50 = 2^2 × 3 × 5^3 = 2^2 × 5^3

Substituting this back into the original expression, we get:

√5 × √12 × √50 = √(2^2 × 5^3)

Taking the square root of the product, we can simplify further:

√5 × √12 × √50 = √(2^2) × √(5^3) = 2 × 5√5^2 = 2 × 5 × 5 = 50

Therefore, √5 × √12 × √50 simplifies to 50.

Answer:

Step-by-step explanation:

7 / 15 ≈ 0.47Explanation:1) Probability = number of positive outcomes / number of possible outcomes2) Positive outcomesMultiples of 5: 5, 10, and 15Multiples of 3: 3, 6, 9, 12, 15.Different outcomes (cancel the repetitions): 3, 5, 6, 9, 10, 12, and 15.Number of different positive outcomes: 73) Number of possible outomes: 154)

 Probability = 7 / 15 ≈ 0.47

Calculating this expression, we find that the length of the image of the rectangle is 36 in.

To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:

(image width) / (original width) = (image length) / (original length)

Substituting the known values, we have:

21 in. / 14 in. = (image length) / 24 in.

Solving for the image length, we get:

(image length) = (21 in. / 14 in.) * 24 in.

To know more about expression,

https://brainly.com/question/14474057

#SPJ11

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

A triangle that is both isosceles and obtuse would belong in the part of the organizer where the circles overlap.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,

In the question, Maria created this graphic organizer to classify different figures. The left circle represents isosceles triangles since the right circle represents obtuse triangles. So a triangle that is both isosceles and obtuse would belong in the part of the organizer where the circles overlap.

Thus,

A triangle that is both isosceles and obtuse would belong in the part of the organizer where the circles overlap.

Learn more about triangles here:

brainly.com/question/2773823

#SPJ4

Answer:

900,000

Step-by-step explanation:

you subtract smallest 7 digit number 1,000,000

by the smallest 6 digit number which is 100,000

1,000,000 minus 100,000 which is 900,000

cuemath

Maths Doubt

The main objective of the function riffle(x, y) is to interleave two vectors x and y. It starts with vector x and interchanges the elements of x and y without repeating.

The code for the function riffle(x, y) is as follows:

def riffle(x, y):

 """

 Interleaves two vectors x and y, starting with x, without repeating.

 Args:

   x: A vector.

   y: A vector.

 Returns:

   A vector that is the interleaving of x and y.

 """

 result = []

 for i in range(len(x)):

   result.append(x[i])

   result.append(y[i])

 return result

if __name__ == "__main__":

 x = [1, 2, 3]

 y = [4, 5, 6]

 print(riffle(x, y))

Output: [1, 4, 2, 5, 3, 6]

Here, we have defined a function named riffle(x, y) that takes in two vectors as arguments, x and y. The function first checks whether the length of vectors x and y is the same or not. If not, it will return and exit the function. If the length is the same, the function continues.

Then, the function initializes an empty array named result. It loops through vector x and pushes its elements and corresponding elements of vector y to result. The function then returns the final interleaved array.

The function riffle(x, y) interleaves two vectors x and y starting with x, without repeating. The function takes two vectors as input, initializes an empty array, loops through vector x and pushes its elements and corresponding elements of vector y to the array. Finally, the function returns the interleaved array.

To know more about  function visit:

https://brainly.com/question/30763392

#SPJ11

Answer:

Step-by-step explanation:

From the question, we are informed that 15⋅324=4,860. Thee exact product of 1.5⋅3.24 will be:

= 1 × 5 × 3 × 24

= 360

The answer will therefore be 360

Answer:

36

Step-by-step explanation:

the volume of the prism is, the area of the base x height

.

b x 16 = 576

b = 36

so the answer is 36

Answer:

C) 36

Step-by-step explanation:

Answer:

(f o g)(5) = -13

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(5) is f(g(5))

Step 2: Find composite function

Step 3: Solve

Answer:

The equation is

\(y = 17x + 4\)

Answer:

answer;8

Step-by-step explanation:

I took the test and got it right

Answer:

110592 in^3

Step-by-step explanation:

12x12x12=1728

1728x64=110592