!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
\(x^4-3x^3-7x+1\)÷\(x+2\)

Answer:

inverse function f⁻(x) = 1 / (4x + 8)

Mark it as brainlist answer

Step-by-step explanation:

Answer:

Stop cheating :) jk The answer is b Angie

Step-by-step explanation:

Hi! I'm happy to help!

We know that 2y=150, so we can divide both sides by 2 to find the angle of y

2y=150°

÷2  ÷2

y=75°

So, y=75°.

I hope this was helpful, keep learning! :D

1:3 is the ratio of the number of cars to go with the month 0:18

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another

Given that:

Kameron received 18 toy cars.

And he plans to start collecting more cars and is going to buy 2 more every month

At month 0, he has 18 cars

At the end of month 18, he will have:

18 + (2×18) cars = 18 + 36 = 54 cars

Thus, the ratio of month 0 to month 18 will be:

18:54 =  1:3

Therefore, the number of cars to go with the month 0:18 in ratio form is 1:3

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Answer:

115.2

Step-by-step explanation:

First we make an equation and replace blank with x.

Look at photos to see solution.

Answer:

m = 3

Step-by-step explanation:

Given

\(5^{4m}\) = \(5^{12}\)

Since the bases on both sides are equal ( both 5) the equate the exponents.

4m = 12 ( divide both sides by 4 )

m = 3

The growth of the town is an illustration of exponential growth function

The population of the town in 15 years is 125651

The given parameters are:

An exponential growth function is represented as:

y = a * (1 + r)^t

So, we have:

y =75000 * (1 + 3.5%)^15

Evaluate

y =125651

Hence, the population in 15 years is 125651

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$145 money does Carter need to earn at the bike shop to keep his budget balanced

The projection of future income and spending is done using a budget. Simply expressed, a budget accounts for both anticipated income and costs as well as future saving and spending. A budgeting method enables you to prepare for your income and spending over a specific time period. For instance, planning a monthly budget involves considering how much money you'll have coming in and going out each month. Surplus, Balanced, and Deficit Budgets are the three types of yearly government finances based on projections.

Dog walking: $20                           Costume: $40

Working at the bike shop: $145   Fixing bike: $25

Gift from uncle: $50                       Corn maze: $15

Pet sitting: $35                                Saving for college: $170

Total: $250                                      Total: $250

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Answer:

independent-increaseing the temperature of the component

dependent- increase in the pressure inside the sealed container

Step-by-step explanation:

Answer:

Independent variable is the temperature of the compound

Dependent variable is the pressure of the container

The taxi driver charges an initial fare of $3.00 plus $0.40 for each 1/5 of a mile driven. If the total charge for a ride is $27.00, the distance traveled, in miles is 9.

  The data given in the question is, The taxi driver charges an initial fare of $3.00 plus $0.40 for each 1/5 of a mile driven. The total charge for a ride is $27.00.

   Let's calculate the distance traveled:

                  Let d be the distance traveled. The given data in the problem is in dollars and cents. Therefore, let's first change it to the same units (cents). We know that 1 dollar is equal to 100 cents. Thus $27.00 is equal to 27 * 100 cents.

    Therefore, $27.00 is equal to 2700 cents.

     Now, we know that the driver charges $3.00 as an initial fare.

                    So, he charged 300 cents. Therefore, the remaining amount of money he charged for the distance is (2700 - 300) cents.

      Hence, he charged 2400 cents for the distance traveled. The driver charges $0.40 for each 1/5 of a mile. That is 40 cents for each 1.2 km.

     Therefore, he charges 200 cents for each 1.2 km of distance traveled.

      Hence, he charges (2400/200) * 1.2 km of distance traveled.

       Therefore, the distance traveled is 14.4 km or 9 miles. Accordingly, the distance traveled, in miles, is 9.

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Answer:

99 + x = 4x

99 = 3x

x =33

.....

Answer:

u think its A if not sorry

Step-by-step explanation:

Answer:

incomplete question friend

Answer:

Area = 4

Step-by-step explanation:

Answer:

1.20$

......................

The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.

To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.

Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.

The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.

The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).

By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.

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Answer:

Multiply $78 * 0.065 which equals = 5.07

So $78 + 5.07 equals 83.07

Step-by-step explanation:

Zach's work is correct because the total of the partial product is the ratio of the dividend

The ratio of any two integers is expressed as a/b

Given the ratio 124.8 : 24 = 5.2. This means that the quotient, if 128.8 is divided by 24 is 5.2

Taking the ratio;

124.8: 24

= 124.8/24

= 1248/10 * 24

= 1248/240

= 5.2

Hence Zach's work is correct because the total of the partial product is the ratio of the dividend

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The relation is for the set, {1, 2, 3, 4} and the relation, {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} reflexive, symmetric, and transitive.

Let's analyze the relation for each property:

1. Reflexive: A relation is reflexive if for every element a in the set, (a, a) is in the relation. In this case, we have (1, 1), (2, 2), (3, 3), and (4, 4), so the relation is reflexive.

2. Symmetric: A relation is symmetric if for every (a, b) in the relation, (b, a) is also in the relation. We have (1, 2) and (2, 1) in the relation, so it is symmetric.

3. Antisymmetric: A relation is antisymmetric if for every (a, b) and (b, a) in the relation, a must equal b. Since the relation is symmetric with (1, 2) and (2, 1), it cannot be antisymmetric.

4. Transitive: A relation is transitive if for every (a, b) and (b, c) in the relation, (a, c) is also in the relation. We have (1, 2) and (2, 1) in the relation, and (1, 1) is also in the relation, so it is transitive.

In summary, the relation is reflexive, symmetric, and transitive.

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Answer:

\(\boxed{\red{500 + x \leqslant 4500}}\\ x \leqslant 4500 - 500 \\ \blue{\underline{x \leqslant 4000}}\)

Answer:

Less

Step-by-step explanation:

Because we don’t know the value of x.

Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Answer:

x = 3 ± √6.

or 0.55, 5.45 to the nearest hundredth.

Step-by-step explanation:

(x−3)^2+2=8    

(x - 3)^2  = 8 - 2 = 6

(x - 3)^2 = 6

Taking square roots of both sides:

x - 3 = +/- √6

x = 3 ± √6.

ㅤ

Given quadratic equation:-

⇢ \(\rm{(x - 3) 2 + 2 = 8}\)

ㅤ

Simplifying the given equation:-

ㅤ

1) Simplify both sides of the equation.

⇢ \(\rm{x^{2} - 6x + 11 = 8}\)

ㅤ

2) Subtract (8) from both sides, we get:

⇢ \(\rm{x^{2} - 6x + 11 - 8 = 8 - 8}\)

⇢ \(\rm{x^{2} - 6x + 3 = 0}\)

ㅤ

3) In the equation: (a = 1), (b = -6), (c = 3):

⇢ \(\rm{1x^{2} + - 6x + 3 = 0}\)

ㅤ

4) Use quadratic formula:

⇢ \(\rm{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}\)

⇢ \(\rm{x = \dfrac{-(-6) \pm\sqrt{(-6)^{2} - 4 (1) (3)}}{2 \times 1}}\)

⇢ \(\rm{x = \dfrac{6 \pm \sqrt{4}}{2}}\)

The value of the improper integral ∫∫r^2e^(-4r^2) dxdy using polar coordinates is (π/8).

We start by expressing the given integral in polar coordinates as follows:

∫∫r^2e^(-4r^2) dxdy = ∫∫r^2e^(-4r^2) r dr dθ

The limits of integration for r are 0 to infinity and for θ are 0 to 2π. Hence, the integral becomes:

∫0^(2π) ∫0^∞ r^3 e^(-4r^2) dr dθ

We can evaluate the integral using the substitution u = 4r^2, du = 8r dr, and limits of integration from 0 to infinity. This gives:

(1/8) ∫0^(2π) ∫0^∞ e^(-u) du dθ

Solving the inner integral with limits 0 to infinity gives (1/8) ∫0^(2π) 1 dθ = π/4

Therefore, the value of the given integral in polar coordinates is (π/8).

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Answer:

1) -3/3

2) 1/2

3) 3/4

4) -2/1

5) 1/2

6) 4/1

Step-by-step explanation:

RISE OVER RUN

(Rise) Using the farthest dot on the left you count how much you rise till you align with the second dot (depending on whether you go up or down determines + or -)

(Run) Once aligned with the second dot count whilst 'running' towards it till you've reached it. (If you go right it's +, if you go left it's -)

Hard to explain, but it's really easy if you look up a tutorial.

The velocity of the bullet just as it emerges from the rifle is 45.1 m/s.

(a) To derive the expression to calculate the velocity of the bullet just as it emerges from the rifle, we can use the kinematic equation that relates the position, velocity, time and acceleration of an object:  s = ut + 0.5at²  ... (1)

In the vertical direction, the acceleration is due to gravity, and is equal to -9.81 m/s². Therefore, the vertical component of the initial velocity u_y is:  

u_y = v₀sinθ  ... (2)

where {v₀} is the initial speed of the bullet and

θ is the angle between the barrel of the rifle and the horizontal, which is 0°.

Therefore, θ = 0° and  sinθ = 0.

Substituting this into equation (2), we get:  

u_y = 0  ... (3)

Since the bullet hits the target 10 cm below the center, the vertical displacement h of the bullet is -10 cm or -0.1 m. Substituting this into equation (1), and solving for the initial speed of the bullet v₀, we get:  

h = u_y*t + 0.5at²

=> \({v_0} = \frac{{h}}{\sin{\theta}\sqrt{\frac{2h}{a}}}\)  ... (4)

Substituting the values of {h}, {\theta} and {a}, we get:

\({v_0} = \frac{-0.1}{\sin 0°\sqrt{\frac{2(-0.1)}{-9.81}}}\)

=>  v₀ = 45.1 m/s

(b) The velocity of the bullet just as it emerges from the rifle is 45.1 m/s.

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The phrase "number of values for which a certain condition holds" is referred to as multiplicity. The phrase, for instance, can be used to describe the magnitude of the totient valence function or the frequency with which a given polynomial equation has a root at a specific location.

Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

Hence ,Multiplicity means the quality or state of being multiple or various. and

the number of components in a system (such as a multiplet or a group of energy levels)

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Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

Answer:

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

Step-by-step explanation:

Mariana workings:

-3(2x - 4) = -12

-6x - 12 = -12

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

-6x = 0

x=0

Correct workings:

-3(2x - 4) = -12

-6x + 12 = - 12

-6x = -12 - 12

-6x = -24

x = -24/-6

x = 4

The distance that light travels in 12.3 nanoseconds is 37.9 meters.
What is speed?
Speed is the rate of change of an object's position relative to a given frame of reference. It is a scalar quantity, meaning it has both magnitude and direction. Speed is usually measured in meters per second (m/s) or kilometers per hour (km/h). Speed is an important factor in many activities, including travel, sports, and transportation.

This can be calculated by multiplying the speed of light (3.0 x 108 m/s) by the time (12.3 nanoseconds), which yields a result of 37.9 meters. This answer is rounded to the correct number of significant figures, which is two.

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