solve for x 5(x+6)=18

Answer:

(g-h)(a)   =   -a² + 2a + 3

Step-by-step explanation:

To find (g-h)(a) , we will follow the steps below:

From the question given

g(a)=4a+3

h(a)=a²+2a

so

(g-h)(a)   = g(a) - h(a)

            = 4a + 3  - (a² + 2a)

                = 4a + 3 - a² - 2a

                 = 2a + 3 - a²

                = -a² + 2a + 3

(g-h)(a)   =   -a² + 2a + 3

Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

Answer:

For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.

Step-by-step explanation:

Answer:

I believe its C

Hope that helps

Step-by-step explanation:

There are no other x's from your original 4 that are 3

The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

Answer: C because there are two ages with 13 as an x value, making it a relation not a function.

Shaniece would have $ 3500 in her account 31 weeks after opening the account.

An arithmetic sequence is a sequence of numbers where each term is obtained by adding a fixed constant (called the common difference) to the previous term.

In this problem, Shaniece's savings account balance increases by a fixed amount of $60 every week, so the balance forms an arithmetic sequence.

We can use the formula for the nth term of an arithmetic sequence to find the balance in Shaniece's account after n weeks:

=> T\(_{n}\) = a₁ + (n-1) × d

Here we have

Shaniece opened a savings account with $1700 that pays no interest.  

She deposits an additional $60 each week thereafter.

Since there is no interest

The amount that will increase in the next 31 weeks is equal to the amount deposited in 31 weeks

Leaving 1st week the total amount deposited = 30 × 60 = $ 1800  

The total amount in bank account = $ 1700 + $ 1800 = $ 3500

Therefore,

Shaniece would have $ 3500 in her account 31 weeks after opening the account.

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Answer: 3560

Step-by-step explanation:

Write out the first 3 terms:

�

1

=

1760

←

savings after 1 week

a

1

​

=1760←savings after 1 week

�

2

=

1820

←

savings after 2 weeks

a

2

​

=1820←savings after 2 weeks

�

3

=

1880

←

savings after 3 weeks

a

3

​

=1880←savings after 3 weeks

Arithmetic Sequence:

�

=

60

Arithmetic Sequence: d=60

The common difference

Explicit Formula:

Explicit Formula:

�

�

=

a

n

​

=

�

1

+

(

�

−

1

)

�

a

1

​

+(n−1)d

�

31

=

a

31

​

=

1760

+

(

31

−

1

)

(

60

)

1760+(31−1)(60)

�

31

=

a

31

​

=

3560

3560

Answer:

Step-by-step explanation:

This problem can be solved using a technique called the Pigeonhole Principle. The Pigeonhole Principle states that if n+1 or more objects are placed into n pigeonholes, then at least one pigeonhole will contain two or more objects.

In this problem, we have 1600 delegates divided into 16000 committees of 80 persons each. We can think of each delegate as an object and each committee as a pigeonhole. Since 1600 delegates are placed into 16000 pigeonholes, we know that by the Pigeonhole Principle, at least one pigeonhole will contain two or more delegates.

In other words, there must be at least one committee that has at least two delegates in common with another committee. We can prove that there will be at least four common members by assuming the worse scenario where each committee is formed by different people, and noting that there are more delegates than the number of committees, so it's impossible that all committees have different members, and therefore there will be at least four common members.

Therefore, it is possible to find two committees having at least four common members.

Answer:

19.36

Step-by-step explanation:

First you figure out what 20% of 22 is, which is 4.4
Then you subtract 4.4 from 22, which gets you 17.6
Then you add 10% of 17.6, that 10% being 1.76
So you lastly add 1.76 to 17.6 which gets you 19.36.

The probability of a Becca did a lab experiment on a Friday is 16/70.

When a subject is too intricate to handle with conventional analytical techniques, simulation is a great tool to utilize. A simulation is a method of problem-solving via trial and error.

The simulation that would help answer this question is to assign each marble a day of the week, with 5 different colors representing Monday through Friday.

Then, draw a marble from the hat each time to simulate selecting a random day. Roll a number cube to simulate whether or not a lab experiment was done that day.

Repeat this process for 70 trials and record how many times a lab experiment was done on a Friday. This will help to determine the chances that Becca did a lab experiment on a Friday.

The use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you can say, "the probability of a Friday is 16/70."

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Answer:

angle 1 = 111

angle 2 = 69

Step-by-step explanation:

Supplementary Angles add up to 180°.

We are given angle 1 = (x+88)° and angle 2 = 3x°

The sum of both angles add up to 180°

x+88+3x=180

4x=180-88

4x=92

x = 23

To find angle 1, substitute x = 23 in (x+88)°

23°+88° = 111°

Therefore, angle 1 is 111°

To find angle 2, substitute x = 23 on 3x°

3(23) = 69°

Checking if the answer is right by combining 111 and 69.

111+69 = 180

Hence, the answers are 111° and 69°.

The objective function for maximizing profit is given as follows:

P(x,y) = 65x + 45y.

In which:

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

For this problem, we have a multi-variable relationship, in which:

Considering the prices of each item as the constants, the function is given as follows:

P(x,y) = 65x + 45y.

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Answer:     10 + 10 = 21

dont ask howwwwwwwwwwwwww

sf

Answer:

22

Step-by-step explanation:

The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.

The voltage across 8 identical bulbs is 110 V

Since they are connected in a series and identical, the Voltage difference across each bulb is \(\frac{110}{8}\) V which is 13.75 V

According to the question,

The current flowing through the bulb = 0.56 A

So according to Ohm's Law,

V = IR

13.75 = 0.56 * R

R = 24.55 Ω

The power dissipated in each bulb can be calculated as

P = VI

P = 13.75 * 0.56 = 7.7 W

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In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.

When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:

Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb

Next, use Ohm's Law to find the resistance of each bulb:

Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb

Finally, find the power dissipated in each bulb using the formula:

Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb

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Answer:

No

Step-by-step explanation:

the standard form is x^2 +2x+6

The simplified form of 37 / (√12 + √√(3√3)1) is\((74 - 37\sqrt{(3^(1/4))) } / (2\sqrt{3} - 3^(1/4)\sqrt{3} ).\)

To simplify the given expressions without using a calculator, let's break down each expression step by step:

Simplifying 2√8 - 4√32 + 3√50:

First, let's simplify the square roots individually:

√8 = √(4 × 2) = √4 × √2 = 2√2

√32 = √(16 × 2) = √16 × √2 = 4√2

√50 = √(25 × 2) = √25 × √2 = 5√2

Now, substitute these values back into the original expression:

2√8 - 4√32 + 3√50 = 2(2√2) - 4(4√2) + 3(5√2)

= 4√2 - 16√2 + 15√2

= (4 - 16 + 15)√2

= 3√2

Therefore, the simplified form of 2√8 - 4√32 + 3√50 is 3√2.

Simplifying 37 / (√12 + √√(3√3)1):

Let's start by simplifying the radicals:

√12 = √(4 × 3) = √4 × √3 = 2√3

√√(3√3)1 = √(3√3)

\(= (\sqrt{3} )^{(1/2) }\times \sqrt{3}\)

\(= 3^(1/4) \times \sqrt{3}\)

Now, substitute these values back into the original expression:

37 / (√12 + √√(3√3)1) \(= 37 / (2\sqrt{3} + 3^{(1/4)} \times \sqrt{3} )\)

To simplify further, we can factor out √3:

37 / (√12 + √√(3√3)1) \(= 37 / (\sqrt{3} (2 + 3^{(1/4)}))\)

Now, rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator:

\(37 \times(\sqrt{3} (2 - 3^{(1/4)})) / (\sqrt{3} (2 + 3^{(1/4)})) \times (\sqrt{3} (2 - 3^{(1/4)})) / (\sqrt{3} (2 - 3^(1/4)))\)

Simplifying further, we get:

\(37(2 - 3^{(1/4)}) / (2\sqrt{3} - 3^{(1/4)}\sqrt{3} )\)

\(= (74 - 37\sqrt{(3^{(1/4)})) / (2\sqrt{3} - 3^{(1/4)}\sqrt{3} )}\)

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For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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Answer:

A, B & D

Step-by-step explanation:

They have no solution because the variable x in each of the equation cancels out.

Answer:

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

Step-by-step explanation:

4x+12+2x=6x+12

(Group like terms)

4x+2x-6x=12-12

6x-6x=0

0=0

The dimensions of the box that will minimize the cost of manufacturing it: base = 9.04 in and y = 3.01 in

And the minimum cost is 32.65 cents

Let us assume that x represents the base side of the box, and y represents the height of the box.

The volume of the box would be:

V = x²y

246 = x²y        ........(1)

The cost of the material for the base is 0.2 cents per square inch, and the cost of the material for the sides is 0.3 cents per square inch.

Since this box has 4 sides and 1 base, the total cost would be,

C = (0.2 × x² × 1) + (0.3 × 4 × xy)

C = 0.2x² + 1.2x(246x⁻²)              (from (1) y = 246x⁻²)

C = 0.2x² + 295.2 x⁻¹

Consider derivative with respect to x,

dC/dx = 0.4x - 295.2 x⁻²

Consider dC/dx = 0

So,  0.4x - 295.2 x⁻² = 0

0.4x³ =  295.2

x³ = 738

So, x = 9.04

So, the value of y would be:

y = 246 x⁻²

y = 246 × (9.04)⁻²

y = 3.01

So, the minimum cost would be:

C = (0.2 × 0.04² × 1) + (0.3 × 4 × 9.04 × 3.01)

C = 32.65

Therefore, the minimum cost is: 32.65 cents

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The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.

No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).

Given : A mass of student 40 kg

length is represented by l

Position of the pivot point from the board = l/3

The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

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The point at coordinates (4, 0) meters, directly in front of one of the speakers and perpendicular to the plane of the speakers, will experience maximum constructive interference.

In the scenario of two speakers, when a point is located directly in front of one of the speakers and perpendicular to the plane of the speakers, it is in what is known as the "forward direction". This means that the sound waves from both speakers are in phase at that point, leading to constructive interference.

Constructive interference occurs when the peaks of two sound waves align, resulting in a combined wave with a higher amplitude. Since the point is equidistant from the two speakers and directly in front of one of them, the sound waves from both speakers will reach the point in phase, reinforcing each other and producing maximum constructive interference.

As a result, at the point (4, 0) meters, there will be an increased sound intensity due to the constructive interference of the sound waves from the two speakers.

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The matrix representation A = Φ(A) is the (N+1) x (N+1) identity matrix.To find the matrix representation of the linear operator A with respect to the given basis X, we need to determine the action of A on each basis element.

Let's start by defining the basis X:

X = (ϵ₀, ϵ₁, ϵ₂, ..., ϵₙ)

where ϵᵢ represents the i-th basis element.

Now, let's apply the linear operator A to each basis element:

Aϵ₀ = ϵ₀(x + 1) - ϵ₀(x) = ϵ₀

Aϵ₁ = ϵ₁(x + 1) - ϵ₁(x) = ϵ₀

Aϵ₂ = ϵ₂(x + 1) - ϵ₂(x) = ϵ₁

Aϵ₃ = ϵ₃(x + 1) - ϵ₃(x) = ϵ₂

...

Aϵₙ = ϵₙ(x + 1) - ϵₙ(x) = ϵₙ₋₁

We can see that the action of A on the basis elements follows a pattern. The resulting vector can be written as a linear combination of the basis elements:

Aϵ₀ = 1ϵ₀ + 0ϵ₁ + 0ϵ₂ + ... + 0ϵₙ₋₁

Aϵ₁ = 0ϵ₀ + 1ϵ₁ + 0ϵ₂ + ... + 0ϵₙ₋₁

Aϵ₂ = 0ϵ₀ + 0ϵ₁ + 1ϵ₂ + ... + 0ϵₙ₋₁

...

Aϵₙ₋₁ = 0ϵ₀ + 0ϵ₁ + 0ϵ₂ + ... + 1ϵₙ₋₁

To find the matrix representation of A, we need to express each resulting vector in terms of the basis X.

The matrix representation A = Φ(A) is obtained by arranging the coefficients of the basis elements in each resulting vector as columns:

A = [1 0 0 ... 0

    0 1 0 ... 0

    0 0 1 ... 0

    .................

    0 0 0 ... 1]

In this case, the matrix A is an (N+1) x (N+1) identity matrix since each basis element only appears once in the resulting vectors.

So, the matrix representation A = Φ(A) is the (N+1) x (N+1) identity matrix.

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Answer:

width= 4

hieght- 5.65

Step-by-step explanation:

so first lets find the diestnce between 0,0 and 4,4

which is 4 root 2

which is approciamitlty 5.65 and this would be the hieght

the width would be 22.64/5.65= approxiamitly 4

 if you found my answer helpful please mark as brainliest.

The area of a rectangle, which is A =  lw (where A is the area, l is the length, and w is the width). We also need to take into account the 2-inch wide frame, which means that the dimensions of the entire picture (including the frame) will be x + 4 and x + 14 (since each side of the frame adds 2 inches to the dimensions of the painting).
(x + 4)(x + 14) = 416

Therefore, x = -30 or x = 12. Since the dimensions of the painting cannot be negative, we can ignore the solution x = -30 and conclude that the dimensions of the painting are x = 12 inches and x + 10 = 22 inches.
x^2 + 18x + 56 = 416
x^2 + 18x - 360 = 0
(x + 30)(x - 12) = 0

So the painting itself is 12 inches by 22 inches, and with the 2-inch wide frame, the entire picture is 16 inches by 26 inches.

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In a nonprobability sampling, not all members of a population have an equal probability of being included.

In a probability sampling, all members of the population have an equal probability of being included.

The strength of the association is described by the effect size.

Curvilinear association is one in which the correlation coefficient is zero (or close to zero) and the relationship between two variables isn't a straight line. False.

In nonprobability sampling, the selection of individuals from the population is not based on random sampling principles. This means that not all members of the population have an equal probability of being included in the sample.

In probability sampling, every member of the population has an equal and known chance of being selected for the sample. Random sampling methods, such as simple random sampling, stratified random sampling, and cluster sampling, are commonly used to achieve this. In probability sampling, the sample is representative of the population, and statistical inferences can be made.

The strength of the association between two variables is typically measured by the effect size. Effect size quantifies the magnitude or magnitude of the relationship between variables and provides an indication of the practical or substantive significance of the association.

Curvilinear association refers to a relationship between two variables that cannot be adequately described by a straight line. In such cases, the correlation coefficient between the variables may be zero or close to zero, indicating no linear relationship.

Nonprobability sampling involves selecting individuals without an equal probability of inclusion, while probability sampling ensures that all members of the population have an equal chance of being included. The strength of the association between variables is described by the effect size, and a curvilinear association indicates a non-straight line relationship between variables.

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The number of ways are = 1867866560

According to our question-

The passwords contain only digits and lower-case letters.

Length is 6 and the password must contain at least one digit.

There are 26 lower case and 10 digits.

Total = 26+10=36

Length is 6 and the password must contain at least one digit.

Hence, The number of ways are = 1867866560

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The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

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The dot product associated to sides AB and BC is 0.

In this question we must find the dot product of two vectors associated with two surrounding sides of a triangle. First, we need to find the vectors associated to sides AB and BC:

Side BA

BA = (5, 3) - (0, 0)

BA = (5, 3)

Side BC

BC = (- 3, 5) - (0, 0)

BC = (- 3, 5)

By definition of dot product, the result associated to the two sides of the triangle is:

BA • BC = (5, 3) • (- 3, 5)

BA • BC = (5) · (- 3) + (3) · (5)

BA • BC = - 15 + 15

BA • BC = 0

The dot product associated to sides AB and BC is 0.

The statement is poorly formatted, the correct form is shown below:

If A(x, y) = (5, 3), B(x, y) = (0, 0) and C(x, y) = (- 3, 5) are the vertices of a triangle then the value of the dot product between vectors AB and BC is:

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Answer:

1 7/9 hours

Step-by-step explanation:

She needs to write 4 more pages  (7-3 =4)

Using a ratio

3 pages         4 pages

-------------- = -----------------

80 minutes     x minutes

Using cross products

3x = 4*80

3x = 320

Divide by 3

3x/3 = 320/3

x = 320/3 minutes

We want hours so divide by 60

320/3 * 1/60

320/180

1 7/9 hours

Divide.

80 / 3 = 26 2/3 minutes per page...

Multiply.

26 2/3 * 7 = 186 2/3 minutes for 7 pages

Best of Luck!