Find the exact values of the expression without a calculator

Answer:

j RJ irjcirkcks he ed dew wh he x vhg

Step-by-step explanation:

jrjrirjcjrjifjrjfjjfwodoqldmfjrj

Answer:

no idea what the answer is

The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.

A function is a law that relates a dependent variable and an independent variable with each other

It is given that

y = 2tan (x - π/2) +3

To find the zeroes of a function that function has to be equated to zero.

2tan (x - π/2) +3 = 0

2tan (x - π/2)  = -3

tan (x - π/2)  = -3/2

x - 90 = -56.31

x = 33.69 degree

The zero of the function is at 33.69 degree

For finding the maxima /minima

the derivative is

dy/dx = 2 sec² (x - π/2)

the point at which the slope is zero is substituted in the second derivative to find maxima/minima

d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)

if the value is negative then it is a maxima and if it is positive it is a minima.

The vertical asymptote is found by finding the values that make the function undefined

x = 0+ πn

No horizontal or oblique asymptote

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Answer:

£481.02

Step-by-step explanation:

To calculate, you can multiply the original cost by the increase percentage (expressed as a decimal) and add that to the original cost:

£466.98 * 1.032 = £480.9936

£480.9936 + £466.98 = £481.02

Rounding to 2 decimal places, the answer is £481.02.

Answer:

D

Step-by-step explanation:

fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3

The answer is A.) (x-8)(x+7)

If you expand the equation (x-8)(x+7), you'd get \(x^2-x-56\)

Hope this helped!

Answer:

(x - 8) (x + 7)

Step-by-step explanation:

Factorize x^2 - x - 56 by splitting the middle term.

x^2 - x - 56

x^2 - 8x + 7x - 56

x * (x - 8) + 7 (x - 8)

(x + 7) (x - 8)

Answer:

I think it is

1: 22.37

2:16.81

3:83.16

Step-by-step explanation:

Answer:

Shape 1: 22.365

Shape 2: 16.81

Shape 3: 83.16

Step-by-step explanation:

I'm going to start with 2, because its the easiest shape to do, which is 4.1*4.1= 16.81. Next is 3, which you find the length by adding 4.1 to 9.1 = 13.2. You then multiply 13.2 by 6.3 = 83.16. Finally for shape 1, you first find the bottom shape,  which you do by dividing 6.3 by 2 so you can get the width of half the triangle. That is 3.15. then you multiply that by 7.1 to get the area of 22.365.

Answer:

C i think

Step-by-step explanation:

In mathematics, a variable is a symbol and placeholder for any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set

While multiplying two integer numbers, the rule is simple.

If both the integers have the same sign, then the result is positive.

If the integers have different signs, then the result is negative.

For example,

(+2) x (+3) = +6

(+3) x (-4) = – 12

The major Properties of Integers are:

Closure Property

Associative Property

Commutative Property

Distributive Property

Additive Inverse Property

Multiplicative Inverse Property

Identity Property

According to the distributive property of integers, if a, b and c are integers, then:

a x (b + c) = a x b + a x c

Example: Prove that: 3 x (5 + 1) = 3 x 5 + 3 x 1

LHS = 3 x (5 + 1) = 3 x 6 = 18

RHS = 3 x 5 + 3 x 1 = 15 + 3 = 18

Since, LHS = RHS

Hence, proved.

1) (a-b)+c

a= 0.5 , b= 2, c= -1

 (0.5- 2)+-1

=-1.5-1

=-2.5

2) a= 3 . b=-4, c=-2

(3-(-4)+-2

= (3 +4)+2

= 9

3) a= -8, b= 5, c= 3

 (-8+5)+3

=-3+3

= 0.

-(a-b)-c

1) a=0.5 , b= 2, c=-1

 -(o.5-2)-(-1)

=-0.5+2+1

= 2.5

2) a= 3, b= -4, c=-2

-(3-(-4)-(-2)

-(3+4)+2

-3-4+2

= -5

3) a= -8, b=5 ,c=3

-(-8-5)-3

=(8+5)-3

= 13-3

= 10.

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Answer:

-7

Step-by-step explanation:

I think B.9 is correct

1*3*5=15

1+3+5=9

The dimensions of the resulting box that has the largest volume are a square bottom with sides of length 4 inches and a height of 8 inches. The length of the shortest ladder is sqrt(73) feet.

The volume of the box is given by V = (l × w × h), where l is the length of the bottom, w is the width of the bottom, and h is the height of the box. We want to maximize V, so we need to maximize l, w, and h.

The length and width of the bottom are equal to the side length of the square that is cut out of the corners. We want to maximize this side length, so we want to minimize the size of the square that is cut out.

The smallest square that can be cut out has a side length of 2 inches, so the bottom of the box will have sides of length 4 inches.

The height of the box is equal to the difference between the original height of the cardboard and the side length of the square that is cut out. The original height of the cardboard is 16 inches, so the height of the box will be 16 - 2 = 14 inches.

The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is the hypotenuse of a right triangle with legs of length 3 feet and 8 feet.

The hypotenuse of this triangle can be found using the Pythagorean theorem, which states that a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse. In this case, we have a^2 + b^2 = 3^2 + 8^2 = 73, so c = sqrt(73).

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Answer:

Slope: 0, y-intercept: -1

Step-by-step explanation:

If a line is completely horizontal, the slope is 0. The equation of this line is:

y = 0x - 1 = -1

The slope is 0 and the y-intercept is -1 because that is the y-coordinate this line intercepts with.

Hope this helps!

Answer: This is neither a permutation or a combination. It is a trick question.

Step-by-step explanation: To solve this question, you would just multiply the two numbers by each other. So in this case it would be 8*3 because of the fundamental counting principle.

The title is explains what the graph is about. Scale: The scale is the numbers that show the units used on the bar graph. Labels: Both the side and the bottom of the bar graph have a label that tells what kind of data is shown.

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The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

Answer:

Ok, Heres some facts I guess, I dont really know.

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As the weeks go by, Jonas learns all the colors, but still sees only glimpses of them in the world around him.

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Jonas is angry that the world is devoid of color; it's not fair, he says.

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The Giver asks him to explain. Jonas argues that without color, there aren't choices. He can't decide in the morning whether he wants to wear blue or red. He knows what color your shirt is isn't really important, but he thinks the ability to choose at all is what matters—on principle.

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Jonas elaborates by discussing Gabriel, whom The Giver already knows about. What if Gabriel could choose which color toy he wanted?

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The Giver explains that, if that were the case, then Gabriel might make the wrong choices.

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Jonas realizes the wisdom. He agrees that people shouldn't be allowed to choose their own spouses or jobs, because they might be wrong. "We really have to protect people," he says, "from wrong choices," because that way "it's safer."

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Well, that was quick. So much for Jonas the freedom-lover.

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Still, though, Jonas doesn't quite feel satisfied with his own conclusion. He feels frustrated.

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Actually, he feels angry. All the time. He's angry at his friends, for example, for being satisfied with their lives, which are so dull and not vibrant.

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He even tries to get Asher to see color one day, which doesn't go over so well, especially when he tries to touch Asher to make him see it. (Touching is a no-no in this community.)

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Step-by-step explanation:

I put lines between em' just for fun

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Answer:

x= -6

Step-by-step explanation:

-x-3=4x+27

add x on both sides

-3=5x+27

subtract 27 on both sides

-30=5x

divide 5 on both sides

-6=x

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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To determine the generating function for the sequence h0, h1, h2,..., hn,...., we first need to express the sequence in terms of a polynomial. Using the formula for binomial coefficients, we have:

hn = (n C 2) = n!/(2!(n-2)!) = (1/2)n(n-1)

So, the sequence can be expressed as the polynomial:

h(x) = 0 + (1/2)x(x-1) + (1/2)2(2-1)x(x-1)(x-2) + ... + (1/2)n(n-1)x(x-1)(x-2)...(x-n+1) + ...

Now, we can use the definition of a generating function to write:

H(x) = h0 + h1x + h2x^2 + ... + hnx^n + ...

H(x) = (1/2)0(0-1) + (1/2)1(1-1)x + (1/2)2(2-1)x^2 + ... + (1/2)n(n-1)x^n + ...

H(x) = 0 + 0x + (1/2)x^2 + (1/2)2x^3 + ... + (1/2)n(n-1)x^(n+1) + ...

Hence, the generating function for the sequence h0, h1, h2,..., hn,.... is:

H(x) = (1/2) x^2 (1 + 2x + 3x^2 + ...)

Given the sequence h_n = C(n, 2), where n ≥ 0, we want to find the generating function for this sequence. The generating function, G(x), is defined as the formal power series:

G(x) = h_0 + h_1x + h_2x^2 + h_3x^3 + ...

We know that h_n = C(n, 2) = n(n - 1)/2 for n ≥ 0. So, we can rewrite the generating function as:

G(x) = h_0 + h_1x + h_2x^2 + h_3x^3 + ... = ∑ [n(n - 1)x^n / 2] for n ≥ 0.

By using the binomial theorem, we can express G(x) as:

G(x) = 1/2 * (x * d/dx)^2 (1 - x)^(-1)

Here, (x * d/dx) is the operator that represents the derivative with respect to x multiplied by x. By applying this operator twice to (1 - x)^(-1) and then multiplying the result by 1/2, we obtain the generating function for the sequence.

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Answer:

Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \(\frac{1}{2}bh\)

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \(\frac{1}{2}*4*2.24 =\) 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2

For the rectangular sections of the roof, area is

A = \(lh\)

where \(l\) is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2

For the bottom face, area is

A = \(lw\)

where \(l\) is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = 20 ft^2

Surface area of the roof of the dog kennel is

8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2

Answer:

so the discount is 42 and the bill is $78

Step-by-step explanation:

0.35*120=42

discount is 42

120-42=78

the bill is $78

Step-by-step explanation:

|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.

in other words

|-x| = x

|x| = x

|-x - 2y| for x = -2 and y = 3

|- -2 - 2×3| = |2 - 6| = |-4| = 4

The area enclosed by the curve, x - t² - 3t, y - vt and the y-axis is (9/2)v - 13.5 square units.

The area enclosed by the curve, x - t² - 3t, y - vt and the y-axis is obtained as follows:

1. The curve x = t² - 3t, y = vt intersects the y-axis when x = 0, which occurs when t = 0 and 3.

Therefore, the value of t lies between 0 and 3. Thus, the limits of integration are 0 and 3.S

2. Using A = ∫[a, b] ydx or A = ∫[c, d] xdy, where a, b, c, and d are the limits of integration, we have A = ∫[0, 3] xt - (t² - 3t)dv

3. Substituting x = t² - 3t and y = vt in the above equation, we have: A = ∫[0, 3] (t² - 3t)vt - (t² - 3t)dt

4. A = ∫[0, 3] (v - 1)(t² - 3t)dt

5. A = ∫[0, 3] v(t² - 3t)dt - ∫[0, 3] (t² - 3t)dt

6. Using integration by substitution, let u = t² - 3t. Then, du/dt = 2t - 3dt = 0.5(2t - 3)dt.

7. ∫v(u) du = v(u) * du/dt * dt. Thus, A = ∫[0, 3] v(2t - 3) (0.5dt) - ∫[0, 3] u(0.5dt)

8. Therefore, A = 0.5∫[0, 3] v(2t - 3)dt - 0.5∫[0, 3] udt

9. A = 0.5[(2v/3)(3³ - 0³) - 3v(3² - 0²)] - 0.5[(3² - 0²)(3 - 0)]

10. Simplifying, we get A = (9/2)v - 13.5 square units.

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Answer:

5m+3 =3m

Step-by-step explanation:

−6(t − 8) = 12

-6((6) -8) =12

5m+3=3m

5m-3m=3

2m=3

2(6)≠3

t + 5 = 11

(6) + 5 = 11

9 = 2x − 3

2x = 9+3

2(6) = 12

∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Given:

Three lines AD, CF, and BE are intersecting each other at the midpoint O.

To prove:

∠CFA ≅ ∠EDA

Proof:

Given that AD, CF, and BE intersect at the midpoint O.

By definition of a midpoint, OA ≅ OD, OB ≅ OE.

OA = OD and OB = OE.

Triangle OAD ≅ Triangle OBE (By Side-Side-Side congruence).

∠OAD ≅ ∠OBE (By Corresponding Parts of Congruent Triangles are Congruent).

∠CFA and ∠EDA are vertical angles.

∠OAD ≅ ∠CFA and ∠OBE ≅ ∠EDA (By Vertical Angles are Congruent).

Therefore, ∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Hence, it is proven that ∠CFA ≅ ∠EDA.

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Answer:

A scalene triangle is one whose sides are all a different length. So there is no way you can find the length of b when you are only given the length of a and the perimeter.

Step-by-step explanation:

hopes it help :)