What is the answer to this question

Answer:

\(x = \frac{1}{2} \)

\(x = - \frac{3}{2} \)

Answer:

126

Step-by-step explanation:

→ Find the sum of the angle

x + x - 35 + x - 46 + 0.5x = 3.5x - 81

→ Equate to 360

3.5x - 81 = 360

→ Add 81 to both sides

3.5x = 441

→ Divide both sides by 3.5

x = 126

On solving the equations y = (-1/2)x + \(4\frac{1}{2}\) and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .

In the question ,

it is given that

the equations are y = (-1/2)x + \(4\frac{1}{2}\)  and 3x - 4y = 12

which can be written as y = (-1/2)x + 9/2  and 3x - 4y = 12

to plot the graph of the given equations , we need intercept .

For the equation y = (-1/2)x + 9/2

when x= 0  , y = (-1/2)(0) + 9/2 = 9/2

when y = 0 ,

0 = (-1/2)x + 9/2

(1/2)x = 9/2

x = 9

the points are (0 , 9/2) and (9 , 0)

For the equation 3x - 4y = 12

when x = 0 , 3(0) - 4y = 12

-4y = 12

y = -3

when y = 0 , 3x -4(0) = 12

3x = 12

x = 4

the points are (0,-3) and (4,0) .

after plotting the lines on the graph , we can see that the both the lines intersect at the point (6 , 3/2) ,

Therefore , On solving the equations y = (-1/2)x + \(4\frac{1}{2}\) and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .

The given question is incomplete , the complete question is

Consider this equation y = (-1/2)x +  \(4\frac{1}{2}\)  and 3x - 4y = 12 .

Solve the system by graphing. label each graph.

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

B

Step-by-step explanation:

Answer:

pls mark as brainliest

Step-by-step explanation:

If A = {3, 5, 7, 8, 9, 10} and B= {1,4,7,9,11,12}

a) ANB= { 7 , 9 }

b.)AUB= { 1 , 3 , 4 , 5 , 7 , 8 , 9 , 10 , 11 , 12 }

Answer:

C

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

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

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

y= (-2) (5)

y= -2 x 5

y= -10

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.

Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.

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the complete question is

is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain

It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.

What is Momentum ?

The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .

So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,

whereas the object with 0 velocity will only have No (zero) momentum if the  mass is also 0 .

Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .

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The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

C

Step-by-step explanation:

I got 100% on EDGE 2020 Unit test

Answer:

C. 65

Explanation:

Hope you have a great day!

Answer: Forest A will have a greater tree population

Step-by-step explanation: The function for forest A is A(t)=115(1.025), which is the number of trees in one year, so a formula to calculate for t number of years could be: A(t) = 115(1.025)(t), and for B it could be B(t) = 82(1.029)(t).

t represents the number of years, so after 20 years the number of trees would be:

A(20) = 115(1.025)(20) = 2357.5

B(20) = 82(1.029)(20) = 1687.56

A(20 - B(20) => 2357.5 - 1687.56 = 669.94

Therefore, there would be a greater number of trees in Forest A after 20 years. It is greater than forest B by 669.94 trees.

The equation of the segments perpendicular bisector is; y = -¹/₂x + 2

i) Since it is a perpendicular bisector, hence point M is the midpoint. Thus;

Midpoint (AB) = [(x₁ + x₂)/2], [(y₁ + y₂)/2] = (x_m, y_m)

Slope AB will be;

m₁ = ((x₁ - x₂)/(y₁ - y₂))

Slope of perpendicular bisector is;

m₂ = -1/m₁

Equation of perpendicular bisector is;

(y - y_m) = m₂(x - x_m)

ii) Midpoint (AB) = [(-2 + 6)/2], [(3 - 1)/2] = (2, 1)

Slope AB will be;

m₁ = ((6 + 2)/(-1 - 3)) = -2

m₂ = -1/-2 = 1/2

Equation of perpendicular bisector is;

(y - 1) = -¹/₂(x - 2)

y - 1 = -¹/₂x + 1

y = -¹/₂x + 2

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Answer:

B

Step-by-step explanation:

2/5 is equal to 40 percent

Answer:

Gold coins are an example of commodity money. ... Dollar bills are an example of fiat money because their value as slips of printed paper is less than their value as money. Bank money consists of the book credit that banks extend to their depositors.

Step-by-step explanation:

Answer:

0.25 or 25% probability

Step-by-step explanation:

The lower limit in this question = a

The upper limit = b

P(X<=x) = x-a/b-a

a = 4

b = 8

The question says it is uniformly distributed between 4 minutes and 8 minutes

Probability that it takes her more than 7 minutes to wait for the bus

P(X<=7) + P(X>7)= 1

We are to get P(X>7)

= 1 - (7-4/8-4)

= 1-3/4

= 1-0.75

= 0.25

= 25% probability it takes her more than 7 minutes to wait

Answer:

1.2075

Step-by-step explanation:

Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)

Answer: 1.2075

Step-by-step explanation:

multiply 0.69*1.75 and u will get 1.2075

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

An amount of $1800 was invested at a rate of 7.5% and $800 was invested at a rate of 5%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, one part of $2600 was invested at a rate of 7.5% and the other part was invested at a rate of 5%, and the total yield was $175 simple interest.

Let $x was invested at 7.5%, then $(2600-x) was invested at 5%.

Since the yield is $175, it follows,

7.5% of x + 5% of (2600-x) = 175

7.5x/100 + 5(2600-x)/100 = 175

7.5x + 13000 - 5x = 17500

2.5x = 17500-13000

2.5x = 4500

x = 1800

Now, the value of (2600-x) is,

2600-1800

=800

Hence, $1800 was invested at a rate of 7.5% and $800 was invested at a rate of 5%.

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William invested $1800 at 7.5% and $800 at 5% on his both accounts.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, William opened two investment accounts. In the first​ year, these​ investments, which totaled ​$2600​,

Assuming he invested $x at 7.5% on the first account and $(2600 - x) at 5% in the second account and yielded ​$175 in simple interest.

∴ (x×7.5×1)/100 + {(2600 - x)×5×1}/100 = 175.

7.5x/100 + (13000 - 5x)/100 = 175.

7.5x + 13000 - 5x = 17500.

2.5x = 4500.

x = 1800. And (2600 - x) = (2600 - 1800) = 800.

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Answer:

a. The given equation is (y - 3)^2 -10 = 71. To determine the number and type of solutions, we need to use the discriminant, which is given by b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in standard form (ax^2 + bx + c = 0). In this case, the equation can be rewritten as (y - 3)^2 = 81, which is in the form of (y - k)^2 = r^2, where k = 3 and r = 9. Therefore, the equation can be written as (y - k)^2 - r^2 = 0, which is a quadratic equation with a = 1, b = -6, and c = -72. The discriminant is then b^2 - 4ac = (-6)^2 - 4(1)(-72) = 300. Since the discriminant is positive, there are two real solutions.

b. To solve the equation (y - 3)^2 -10 = 71, we first add 10 to both sides to get (y - 3)^2 = 81. Then, we take the square root of both sides to get y - 3 = ±9. Adding 3 to both sides, we get y = 3 ± 9, which gives us two solutions: y = 12 and y = -6.

Therefore, the equation (y - 3)^2 -10 = 71 has two real solutions, which are y = 12 and y = -6.

Step-by-step explanation:

Answer:  type: real   number of solutions:2   y=12,-6

Step-by-step explanation:

see images for explanations

Answer:

constant monomial

Step-by-step explanation:

the 8 is a constant number and has one term.

The expression of the given statement is  \(\frac{2x}{5}\) .

What is algebraic expression?

  When terms are combined using operations like addition, subtraction, multiplication, division, etc., the result is an algebraic expression (or variable expression). Let's look at the formula 5x + 7 as an illustration. Consequently, we can state that 5x + 7 is an illustration of an algebraic statement. Here are some more examples: 5x + 4y + 10

Here the given product of two and a number. Lets us take number as x. Then ,

=> 2*x= 2x

Product of two and a number divided by 5. Then,

=> \(\frac{2x}{5}\)

Hence the algebraic expression of the given statement is  \(\frac{2x}{5}\) .

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Answer:

 \(\frac{(x+2)^2}{121} + \frac{(y-1)^2}{169} = 1\)

Step-by-step explanation:

First, we identify that the vertices are vertical.
(an image below is attached if you want to see a visualization)
Therefore, the equation is such:

\(\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1\)

(h,k) is the center of the ellipse, which we could easily calculate by finding the midpoint between any pair of vertices.

This gets us (-2, 1)

Therefore, h = -2, k = 1

Now we want to find a,

we know the length of the major axis is 2a, and in this case, our length of the major axis is 26. So a = 13

Now we want to find b,

We know the length of the minor axis is 2b, and in this case, our length is 22, so b = 11

Now we will just plug in all the values and simplify to get our answer! B)

Answer:x=−y−1

Step-by-step explanation:Let's solve for x.

−y=x+1

Step 1: Flip the equation.

x+1=−y

Step 2: Add -1 to both sides.

x+1+−1=−y+−1

x=−y−1

Answer:

x=−y−1