Please try to solve as many you can, this is due in 1 hour :)

9514 1404 393

Answer:

  see below

Step-by-step explanation:

We assume you want to graph the equation ...

  y -1 = -3(x -3)

This is in "point-slope" form with point (3, 1) and slope -3.

We can graph this by locating the point (A), then finding another point (B) that is 3 units down and 1 unit right of the point we started with. That point is (4, -2).

The desired line goes through the two points.

8x + 17 = 12x -5

Solve for x

move the variable to one side

8x + 17 = 12x -5

-8x          -8x

17 = 4x - 5

+5         +5

22 = 4x

______

4

5.5 = x

then substitute that value into the equation

8(x) + 17 + 12(x) -5 = ?

Answer:

I would believe it is the final answer by the way it's put! hope this helps :)

The correct inequality is 43x + 72 ≤ 1,128.

Given,

Jasmine wants to use her savings of $1,128 to buy video games and movies.

The total price of the movies she bought was $72.

The video games cost $43 each.

We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.

We have,

< - less than

> - greater than

≤ - less than and equal

≥ - greater than and equal

Find the total cost of the movies.

= $72

Find the cost of each video game.

= $43

Find the savings Jasmine has.

= $1,128

The amount Jasmine can use to buy movies and video games is $1,228.

So, we can use less than or equal to $1,228 to buy movies and video games.

i.e ≤ $1,128

We have,

Cost of movie = $72

Cost of each video game = $43

We can write the inequality as:

$72 + $43x ≤ $1,128

Where x is the number of video games.

Thus the correct inequality is 43x + 72 ≤ 1,128.

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Answer:

a is what I have for your answer

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Answer:

9.76

Step-by-step explanation:

(a) It looks like you're saying

\(\displaystyle F(x) = \int_0^x (t - 3t^2 + 7) \, dt\)

Find the critical points of F(x). By the fundamental theorem of calculus,

F'(x) = x - 3x² + 7

The critical points are where the derivative vanishes. Using the quadratic formula,

x - 3x² + 7 = 0   ⇒   x = (1 ± √85)/6

Compute the second derivative of F :

F''(x) = 1 - 6x

Check the sign of the second derivative at each critical point.

• x = (1 + √85)/6 ≈ 1.703   ⇒   F''(x) < 0

• x = (1 - √85)/6 ≈ -1.370   ⇒   F''(x) > 0

This tells us F attains a minimum of

\(F\left(\dfrac{1-\sqrt{85}}6\right) \approx \boxed{-6.080}\)

(b) Split up the domain of F at the critical points, and check the sign of F'(x) over each subinterval.

• over (-∞, -1.370), consider x = -2; then F'(x) = -7 < 0

• over (-1.370, 1.703), consider x = 0; then F'(x) = 7 > 0

• over (1.703, ∞), consider x = 2; then F'(x) = -3 < 0

This tells us that

• F(x) is increasing over ((1 - √85)/6, (1 + √85)/6)

• F(x) is decreasing over (-∞, (1 - √85)/6) and ((1 + √85)/6, ∞)

(c) Solve F''(x) = 0 to find the possible inflection points of F(x) :

F''(x) = 1 - 6x = 0   ⇒   6x = 1   ⇒   x = 1/6

Split up the domain at the inflection point and check the sign of F''(x) over each subinterval.

• over (-∞, 1/6), consider x = 0; then F''(x) = 1 > 0

• over (1/6, ∞), consider x = 2; then F''(x) = -11 < 0

This tells us that

• F(x) is concave up over (-∞, 1/6)

• F(x) is concave down over (1/6, ∞)

Answer:

Step-by-step explanation:

See attached

Kite WXYZ with:

Since XY and YZ are congruent sides, XY = YZ

The angles Z and X are equal and the sum of 4 angles is 360°, therefore:

Correct option is the last one

Answer:

a = 8; b = 40  btw question answer is 62 and 15 and the very next one is 21 and the next one is 119 and 105

Step-by-step explanation: BECAUSE I JUST GOT IT RIGHT .

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

29160cm³

Step-by-step explanation:

(18*18*18) *5 = 29160

If the timings of Mary are  69min, 51min, 66min, 50min, and 69min, then the timing at which Mary has to time herself to maintain average of 59 is 49 minutes.

Given that the timings at which Mary timed herself are 69min, 51min, 66min, 50min, and 69min and the average to be maintain is 59 minutes,

We are required to find the time at which Mary has to time herself to maintain average of 59 minutes.

Average is basically the sum of all the items divided by number of items.

Suppose the time at which Mary should time herself is x.

(69+51+66+50+69+x)/6=59

(295+x)/6=59

305+x=354

x=354-305

x=49

Hence if the timings of Mary are  69min, 51min, 66min, 50min, and 69min, then the timing at which Mary has to time herself to maintain average of 59 is 49 minutes.

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Answer:

the least common denomonater is 10

Step-by-step explanation:

3/10 = 3/10 × 1/1 = 3/10

1/2 = 1/2 × 5/5 = 5/10

Please give me brainliest! hope this helps god bless:)

Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

Answer:   \(\dfrac{3}{2}x^{2}-\dfrac{7}{x}+\dfrac{11}{2x^2}+C\)

Step-by-step explanation:

\(\int {\dfrac{3x^4+7x-11}{x^3}} \, dx \\\\\\= \int \bigg({\dfrac{3x^4}{x^3}} +\dfrac{7x}{x^3}+\dfrac{-11}{x^3}\bigg)\, dx\\\\\\= \int \bigg(3x+7x^{-2}-11x^{-3}\bigg)\, dx\\\\\\=\dfrac{3x^{1+1}}{1+1}+\dfrac{7x^{-2+1}}{-2+1}+\dfrac{-11x^{-3+1}}{-3+1}+C\\\\\\=\dfrac{3x^{2}}{2}+\dfrac{7x^{-1}}{-1}+\dfrac{-11x^{-2}}{-2}+C\\\\\\=\large\boxed{\dfrac{3x^{2}}{2}-\dfrac{7}{x}+\dfrac{11}{2x^2}+C}\)

Answer:

1.15

Step-by-step explanation:

Answer:

1.15

Step-by-step explanation:

So, first it would be helpful to change this from an improper fraction to a mixed number. Because we have an improper fraction now, we need to make this a mixed number by seeing how many times 23 can go into 20. Twenty-three can't go into 20, but if we take away 3 from 23 it can.

So, now we have 20/20 but with a remainder of 3/20. Because 20/20 = 1, it becomes a whole number of 1 and 3/20. Because there is a whole number of 1, we can put this as the whole number for the decimal. The fraction 3/20 is equal to the decimal 0.15, so we can now put the decimal together now that we have all the parts for the answer needed, which is 1.15.

I hope that this helps.

Multiply by 9/25 to make the coefficient of the variable 1 the answer is 9/25.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a given linear equation.

After solving the linear equation we get:

\(\rm \dfrac{25}{9}x = 25\)

To make the coefficient of the variable 1

Multiply by 9/25 on both sides.

\(\rm \dfrac{9}{25}\times\dfrac{25}{9}x = 25\times \dfrac{9}{25}\)

x = 9

Thus, multiply by 9/25 to make the coefficient of the variable 1 the answer is 9/25.

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Answer: the answer is 9/25

Step-by-step explanation: Multiplying both sides of the equation by 9/25 isolates x

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.

Since A ∩ B = {4, 6}, we have

A - B = {2, 8, 10}

Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.

(A - B)' = {1, 3, 4, 5, 6, 7, 9}

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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Answer:

Step-by-step explanation:

10

Ws

Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

c) \(6^6\)

Step-by-step explanation:

\(\dfrac{12^6}{2^6}\)

factor  \(12^6 =(3 \cdot 4)^6= (3 \cdot 2^2)^6=3^6 \cdot 2^{12}\)

\(\implies \dfrac{12^6}{2^6}=\dfrac{3^6 \cdot 2^{12}}{2^6}\)

Apply exponent rule \(\frac{a^b}{a^c} =a^{b-c}\):

\(\implies \dfrac{3^6 \cdot 2^{12}}{2^6}=3^6 \cdot 2^6\)

Apply exponent rule \((a^b \cdot c^b)=(ac)^b\):

\(\implies 3^6 \cdot 2^6=(3 \cdot 2)^6=6^6\)

Hey there!

12^6 / 2^6

12^6

= 12 * 12 * 12 * 12 * 12 * 12

= 144 * 144 * 144

= 20,736 * 144

= 2,985,984

= 2,985,984/2^6

2^6

= 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4

= 16 * 4

= 64

= 2,985,984/64
= 2,985,984 ÷ 64 / 64 ÷ 64

= 46,656 / 1

= 46,656 ÷ 1

= 46,656

LOOKING FOR SOMETHING THATS EQUIVALENT TO: 46,656

PROCESS OF ELIMINATION

6^0

= 6 * 1

= 6

it’s NOT

1/6^6

= 1 / 6 * 6 * 6 * 6 * 6 * 6

= 1 / 36 * 36 * 36

= 1 / 1,296 * 36

= 1 / 46,656

It’s NOT option B

6^6

= 6 * 6 * 6 * 6 * 6 * 6

= 36 * 36 * 36

= 1,296 * 36

= 46,656

Option C IS possibly your answer

6

= 6
Its NOT option D

Therefore, your answer is:

Option C. 6^6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

CuI's molar solubility is determined to be 1.27 x 10⁻¹².

The quantity of ions dissolved per litre of solution is measured by molar solubility. The quantity of ions that are dissolved in this situation's amount of solvent is represented as solubility.

Think about the equation.

Cu+(aq) CuI.(s) + I- (aq)

Let's assume that CuI (s) has a molar solubility of "S" mol/L.

Thus,

Product of solubility = [Cu+(aq)] + [ I-(aq)] → [Cu+(aq)] Ksp

[ I-(aq)] ———(1)

We are aware of

For CuI, the solubility product Ksp is 1.27 x 10⁻¹².

Consequently, from equation (1)

1.27 × 10⁻¹² = S.S

S² =1.27 × 10⁻¹²

= (1.27 × 10⁻¹² )½ = 1.127 x 10⁻⁶ M

Therefore, CuI has a molar solubility of 1.127 x 10-6 M.

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The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Based on the given task content; the total weight of apples and grapes is 5,130 pounds

Total weight is the sum or addition of all the weight of all the fruits together.

Total weight of the fruits = Bushels of apples(Weight of each bushel of apple) + Bushels of grapes(Weight of each bushel of grapes)

= 103(30) + 102(20)

= 3,090 + 2, 040

= 5,130 pounds

So therefore, the total weight of apples and grapes is 5,130 pounds.

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Answer:

x = -13

Step-by-step explanation:

Find LCM for 5 , 10.  LCM of 5 , 10= 10

\(\frac{x-3}{5}-\frac{x+1}{10}= -2\\\\\frac{(x-3)*2}{5*2}-\frac{x+1}{10}=-2\\\\\\\frac{2x-6}{10}-\frac{x+1}{10}\\\\\\\frac{2x - 6 - (x+1)}{10}= -2\\\\\\\frac{2x - 6 - x -1}{10} = -2\\\\\\\frac{2x -x - 6 - 1}{10} = -2 \\\\\\\frac{x - 7}{10} = -2\\\\\\)

Cross multiply,

x - 7 = -2 * 10

x - 7 = -20

     x = -20 + 7

    x = -13