please can someone solve this

Answer:

yes, it's factors are (x+4)²

Step-by-step explanation:

Answer:

It is a perfect square.

Step-by-step explanation:

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer

La respuesta es 264.00

The angle that the vector "v = 9i + 8j - 4k" makes with the vector "u = 6i - 4j - k" is Acute Angle .

To determine the angle between two vectors, we need to find the dot product of the vectors and divide it by the product of their magnitudes.

If the result is positive, the angle between the vectors is acute, if it's negative the angle is obtuse, and if it's zero, the angle is a right angle.

In this case, the dot product of vectors "u" and "v" is:

⇒ (6i - 4j - k) . (9i + 8j - 4k) = 54 - 32 + 4 = 26  ;

The magnitude of vector "u" is = √(6² + (-4)² + (-1)²) = √(36 + 16 + 1) = √53

The magnitude of vector "v" is = √(9² + 8² + (-4)²) = √(81 + 64 + 16) = √161

So, the Cosine (Cos) of angle between two vectors "u" and "v" is:

⇒ Cos(θ) = 26/(√37 × √145) = 26/√5365  .

Since the value of Cos(θ) is positive, the angle between the vectors is acute. This means the vectors "u" and "v" are pointing in somewhat similar directions, but not exactly the same direction.

The given question is incomplete , the complete question is

Determine whether the angle vector "v" makes with vector "u" is acute, obtuse, straight, a right angle, or whether "v" is a vector in the same direction as "u" . u=6i-4j-k  and  v=9i+8j-4k .

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Answer:

He will connect with the building 60 units from the ground.

Step-by-step explanation:

Main concepts:

Concept 1. Visualizing the scenario

Concept 2. Setting up the equation for a right triangle

Concept 3. Solving for an unknown variable in a one-variable equation

Concept 4. Simplifying a radical

Concept 1.  Visualizing the scenario

If King Kong is 65 units tall, and he is 25 units away leaning against a building, then he is not just like standing right next to a wall and leaning against it, but he is very tilted at an angle.

The building, as with nearly every building can be assumed to form a right angle (90 degrees) with the ground, and thus King Kong, the portion of the ground between the building and King Kong's feet, and the portion of the building from the ground to King Kong's head, will form the three sides of a right triangle.

Since the building and the ground form are the sides that form a right angle, King Kong forms the side across from the right angle and his height (albeit tilted diagonally) is the hypotenuse.

Concept 2. Setting up the equation for a right triangle

For any right triangle, the length of the sides of the right triangle obey the equation: \(a^{2} +b^{2} =c^{2}\) where c is the hypotenuse, and a & b are the legs (the other two sides that form the right angle) of the right triangle.

Side note: Due to the commutative property of addition, a & b are interchangeable, and either a or b could be used for the height of point where he connects with the building or the distance along the ground between the building and his feet.  For ease of remembering what represented what, we'll choose "b" to be the "distance along the ground" which I'm visualizing as the "base" of the triangle.

Since King Kong's height (the hypotenuse, c) is known, and the distance along the ground (b) is known, we can substitute the known values into the equation, and solve for the unknown value (a) representing the distance requested in the question.

\(a^{2} +b^{2} =c^{2}\)

\(a^{2} +(25)^{2} =(65)^{2}\)

First, simplify the expressions of numbers squared...

25 squared is 25*25, which equals 625.

65  squared is 65*65, which equals 4225.

\(a^{2} +625 =4225\)

Concept 3. Solving for an unknown variable in a one-variable equation

To solve for "a", we'll need to undo the things connected to it.  "a" exists only once on the left side of the equation.  Focusing only on the left side, some things were done to "a" do make it equal the right side.  Order of operations would first square "a" (do the exponent first), and then add 625.

To undo multiple steps, we'll need to undo them in reverse order.

So, we'll need for first undo adding by 625, then undo squaring.

To undo addition, we'll apply the opposite operation (subtraction) by subtracting 625 from both sides of the equation:

\((a^{2} +625)-625 =(4225)-625\)

Notice how on the left hand side of the equation, the "a-squared" first adds 625, then subtracts 625.  That won't change the value and it will remain "a-squared"

\(a^{2}=(4225)-625\)

On the right hand side, 4225 minus 625 is 3600

\(a^{2}=3600\)

Next, to undo an exponent, we need to do the opposite (use a radical).  The index of the radical should match the exponent, so if the exponent were a "5", we'd want the fifth root to undo it.

In this case, we want a 2nd root (most commonly called a square root).*

*Officially, to undo an even exponent, we have to apply a "square root rule", which gives two answers, a positive and a negative answer with the same magnitude.  However, we know that "how far up the side of the building" is not a negative number, so we can ignore that here.

\(\sqrt{a^{2}}=\sqrt{3600}\)

Again, the radical and the exponent undo each other, because taking whatever number "a" is and squaring it, and then immediately taking the square root, will just arrive back at the value you started with, "a".

\(a=\sqrt{3600}\)

Concept 4. Simplifying a radical

On the right hand side of the equation, to simplify radicals by hand, factor the number inside the radical, and form groups of matching numbers where the group size is the index of the radical.  In this case, the index is "2", so pairs of numbers that match.

3600=

=36*100

=(6*6)*(10*10)

Often, the number will be factored all the way down to prime numbers, but if you've found a group that matches, it can be factored out of the radical (only bring out one number from each group to represent the group).

If everything factors out, it was a perfect "index" number (in this case, a perfect square number).  If this happens, there is no radical left over at the end, and all of the numbers that were factored out, multiply together to make the answer.

\(a=6*10\)

\(a=60\)

This result can be verified by calculator: the square root of 3600 is 60.

So, if King Kong is 65 units tall, and leans against he building with his feet 25 units away, he will connect with the building 60 units from the ground.

Answer:

45 degrees

Step-by-step explanation:

sin x=cos(90-x)

sin(45)=cos(90-45)=cos(45)

Answer:

The answer is 45.

sin45=cos45= 1/√2.

hope it helps u ...

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

Answer:

a. 0.06166

b. 0.9447

Step-by-step explanation:

15 percent is the probability it will rain on any given day. P = 0.15

lets define x as the number of days it will rain in one week.

this solution will follow a binomial distribution.

p(X=x) = nCxP^x(1-p)^x

n = 7

x = 3

1-p = 0.85

p =0.15

inserting these values into the formula

p(X=3)=7C3(0.15)^3(0.85)^4

= 7!/4!3! × 0.003375 × 0.5220

= 35 × 0.003375 × 0.5220

= 0.06166

sd = √np(1-p)

= √7 × 0.15(0.85)

= 0.9447

ANSWER:

Domain: 0 ≤ x ≤ 20

Range: 0 ≤ y ≤ 25

EXPLANATION:

Given:

Amount he has to spend on gas = $25

Cost of gas per gallon = $1.25

M(g) = 25 -1.25g

Josh will buy a maximum of 20 gallons of gas.

Thus,

M(20) = 25 - 1.25(20)

= 25 - 25

= 0

To domain will be the set of input values while the range will be the ouput values.

The domain will be all real values ranging from 0 to 20,

The inequality that represents domain =

0 ≤ x ≤ 20

The inequality that represents range =

0 ≤ y ≤ 25

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

Answer:

64in cubed

Step-by-step explanation:

Because if the vase if half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.

The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The initial height of the rocket is given by the value of h when t = 0:

h(t)=-4t² + 16t + 24

h(0)=-4(0)² + 16(0) + 24

h(0)=24

So the initial height of the rocket is 24 metres.

The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:

0 = -4t²+ 16t + 24

-4t² + 16t + 24 = 0

t=-0.88 seconds

So the rocket will hit the ground after approximately 0.88 seconds.

The height of the rocket after 4 seconds is given by:

h(4)== -4(4)²+ 16(4) + 24

=-64+64+24

=24

So the height of the rocket after 4 seconds is 24 metres.

Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

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Answer:

Step-by-step explanation:

26/7

Option d is the correct answer. All real numbers are greater than or equal to 2.

Domain of a function--The domain of the function is the set or collection of all the x-values for which the function is well defined.

Range of a function--The range of a function is the set of all the values which are attained by a function in its defined domain.

By looking at the graph we observe that the function is continuously increasing and the function takes all the real values greater than as well as equal to 2( since there is a closed circle at (1,2). Hence, the range is: [2,∞).

Thus Option d is the correct answer. All real numbers are greater than or equal to 2.

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Answer:

A.

Explanation:

Use the midpoint formula to find the midpoint of this line segment.

Answer:

A.

Step-by-step explanation:

count

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

It’s 12

Step-by-step explanation:

12 tsp of  toasted sesame seeds per teaspoon of pepper flakes

A fraction represents a part of a whole.

Given that Omar need 8 tsp of toasted sesame seed for 2/3 tsp of pepper flake.

We need to find the rate in teaspoons or toasted sesame seeds per teaspoon of pepper flakes.

Based on the given conditions, formulate:

We need to find Eight divided by the fraction two by three.

8/(2/3)

When a whole number is divided by a fraction then the  multiply the whole number by the reciprocal of the fraction.

8×3/2

When eight is multiplied with 3 is 24.

24/2

Divide numerator and denominator by 2

We get twelve,12

Hence, 12 tsp of  toasted sesame seeds per teaspoon of pepper flakes

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9514 1404 393

Answer:

  A.  1/2

Step-by-step explanation:

The points on a unit circle are (cos(θ), sin(θ)), where θ is the angle from the +x axis to to the ray from the origin through that point.

If the point is (√3/2, 1/2), then sin(θ) = 1/2.

.0147

I am a jedi master

3/7 is 9/21 in simpliest form.

An equation that represents the linear function shown in the table or mapping diagram is y = -x/4 - 3.

In order to write an equation that represents the linear function, we would use the point-slope form. Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Next, we would determine the linear function representing the line which passes through the data points (-4, 6) and (8, 3) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 6 = (3 - 6)/(8 - (-4))(x - (-4))

y - 6 = (3 - 6)/(8 + 4)(x + 4)

y - 6 = -3/12(x + 4)

y - 6 = -x/4 - 9

y = -x/4 - 9 + 6

y = -x/4 - 3

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Answer:

-12/3

Step-by-step explanation:

Whole numbers can't be negative!

Answer:

d. your welcome

Step-by-step explanation:

Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

The system of equations is given by :

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

We shall employ the linear combination method to resolve a system of three equations in three variables. This time, we will solve for the third variable while eliminating the second variable using the equations that follow from the elimination of the first.

Given the number of small drinks by the vendor is s , number of medium drinks is m and the number of large drinks is g.

The vendor sold all three drinks total of 1385, hence the equation:

∴ s + m + g = 1385.

Each small drink costs 1.15 , medium drinks cost 1.75 and large drinks cost 2.25, hence the equation:

∴ 1.15 s + 1.75 m + 2.25 g = 2238.75

He sold twice as many small drinks as medium drinks, hence the equation:

∴ s = 2m

The system of equations is given by:

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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