JELP HURRY !!!!!!!!!

The x value would be 3.

Answer:

96

Step-by-step explanation:

Let's assume that the marks needed in the next exam is \(x\). Then if the average becomes 90,

\(\frac{80 + 93 + 91 + x}{4}= 90\)

Now we can simply solve for \(x\):

⇒ \(\frac{264 + x}{4}= 90\)

⇒ \(264 + x = 360\)            [Multiplying both sides by 4]

⇒ \(x = 360 - 264\)            [Subtracting 264 from both sides]

⇒ \(x = \bf96\)

Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer:

  x = 2+1/3i or 2-1/3i

Step-by-step explanation:

The equation of interest can be written in vertex form as ...

  9(x -2)² +1 = 0

so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.

  x = 2 ± √(-1/9)

In the desired form, the zeros of the given expression are ...

  x = 2 +1/3i or 2 -1/3i

Answer:

3 x 12= 36

or put it this way 2/3x=? = 36/ 36 Divided by 12 is 3

Step-by-step explanation:

Hopes this helps.

Answer:

36

Step-by-step explanation:

there is 12 in a dozen so do 12*3

(a) The exponential model for the population of San Antonio is P(t) = 1.145 * e^(0.041t), where P is the population in millions and t is the number of years since 2000. (b) The population in 2015 is estimated to be 1.491 million.

To construct an exponential model for the population of San Antonio, we can use the formula P(t) = Ce^(kt), where P is the population in millions, t is the number of years since 2000, C is the initial population, and k is the growth rate. Given that the population in 2000 is 1.145 million and the population in 2010 is 1.328 million, we can set up the following equation:

1.328 = 1.145 * e^(10k)

Solving this equation, we find that k is approximately 0.041. Therefore, the exponential model for the population of San Antonio is P(t) = 1.145 * e^(0.041t).

To estimate the population in 2015, we can substitute t = 15 into the exponential model:

P(15) = 1.145 * e^(0.041 * 15)

= 1.145 * e^(0.615)

≈ 1.491 million

Thus, the population in San Antonio is estimated to be 1.491 million in 2015, according to the exponential growth model.

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In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

The integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

a) The integral 120 ∫ v(t) dt represents the displacement of the particle from its starting point after 120 seconds, assuming that its initial displacement is zero. This can be seen by the fundamental theorem of calculus, which states that if F(x) is an antiderivative of f(x), then ∫ f(x) dx = F(b) - F(a), where a and b are the limits of integration. In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

b) The integral 120 ∫ |v(t)| dt represents the distance that the particle travels in 120 seconds. This is because |v(t)| represents the magnitude of the velocity, or speed, of the particle at time t, regardless of its direction. Thus, the integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

c) The integral 120 ∫ a(t) dt represents the change in velocity of the particle over the time interval [0, 120]. This can be seen by the fundamental theorem of calculus, which tells us that if f(x) is the derivative of g(x), then ∫ f(x) dx = g(x) + C, where C is a constant of integration. In this case, a(t) is the derivative of v(t), so the integral of a(t) over the time interval [0, 120] gives us the change in velocity of the particle during that time. Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

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Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.

The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters

A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.

Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm

The number of squares = 10

The number of squares that make up the width from the drawing = 5

The side length of the square is therefore; 15 cm ÷ 5 = 3 cm

The number of squares that make up the length of the rectangle = 7

The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm

The length of the rectangle = 21 centimeters

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The solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

To solve the system of equations:

2X + 4Y + 2Z = 144 (Equation 1)

0.5X + 0.25Y = 60 (Equation 2)

1.5X + 0.5Y + Z = 36 (Equation 3)

We can use row operations to simplify and solve the system.

Let's start with Equation 2. Multiply both sides of Equation 2 by 4 to eliminate decimals:

2X + Y = 240 (Equation 4)

Now, let's solve Equations 1 and 4 using row operations. Multiply Equation 4 by -2 and add it to Equation 1:

-4X - 2Y = -480 (Equation 5)

2X + 4Y + 2Z = 144 (Equation 1)

   2Y + 2Z = -336  (Equation 6)

Next, let's solve Equations 3 and 6 using row operations. Multiply Equation 6 by -3 and add it to Equation 3:

-3Y - 3Z = 1008 (Equation 7)

1.5X + 0.5Y + Z = 36 (Equation 3)

1.5X - 2.5Z = -972 (Equation 8)

We now have a simplified system of equations:

2Y + 2Z = -336 (Equation 6)

1.5X - 2.5Z = -972 (Equation 8)

-3Y - 3Z = 1008 (Equation 7)

Now, we can solve this system by using additional row operations.

Multiply Equation 6 by 1.5 and add it to Equation 8:

-4Z = -1452

Solving for Z, we get Z = 363.

Substituting the value of Z back into Equation 6, we can solve for Y:

2Y + 2(363) = -336

2Y = -1062

Y = -531.

Finally, substituting the values of Y and Z into Equation 7, we can solve for X:

-3(-531) - 3(363) = 1008

X = -171.

Therefore, the solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

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Answer:

i say d

Step-by-step explanation:

The empirical method is the right answer.

Empirical probability is calculated by dividing the number of times an event was seen in your data by the entire sample size. An event's relative frequency is strongly connected to an empirical probability, also known as an experimental probability.

Empirical probability bases its estimation of the likelihood that a specific result will recur on the number of instances of that outcome within a sample set. In short, the empirical method uses relative frequencies to determine probabilities.

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Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

Answer:

The degree of the term is 5

Don't forget to mark me as brainliest

The slope-intercept form of the equation -15y=18x+7 will be y= -1.2x-0.46.

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.

It is given that, the equation is -15y=18x+7. We have to write the equation in the slope-intercept form.

The slope-intercept form of the equation is,

y=mx+c

Where, m is the slope and c is the intercept,

-15y=18x+7

y=(-18/15)+(-7/15)

y= -1.2x-0.46

Thus, the slope-intercept form of the equation -15y=18x+7 will be y= -1.2x-0.46.

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Answer:

8 1/30

Step-by-step explanation:

(10-8) + (1/5 - 1/6)

Answer:

8  1/30

Step-by-step explanation:

Find the common deminator, then subtract!!

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

Answer:

9x-8y=8

Step-by-step explanation:

4x-6y=13

-5x+2y=5

9x-8y=8

when you subtract a negative the negative turns to a postivie.

this means that you would be adding 4x and 5x which makes 9x and then subtrcacting 2y into -6y which brings that result to -8y and then lastly you are subtracting 13-5 which is 8

Answer:

i dont think you have included all the info of the question so if you do that i might be able to help you :)

Step-by-step explanation:

Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16.


To find the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen, you need to subtract the sample mean of underclassmen from the sample mean of upperclassmen.

Sample mean of upperclassmen = 0.76
Sample mean of underclassmen = 0.60

Point estimate = Sample mean of upperclassmen - Sample mean of underclassmen
Point estimate = 0.76 - 0.60
Point estimate = 0.16


The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16, which indicates that on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours.

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Answer:

6 hours

Step-by-step explanation:

\(\frac{1}{6}\) of Total battery life = \(\frac{1}{6} * 3600 = 600\)milliamps

Assuming the battery takes 100 Milliamps per hour,

Time = Battery Capacity / Current hours

Time = 600 / 100 Mah = 6H

The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Answer:

x-8=8-x

x=8

y=8-8

y=0

Step-by-step explanation:

y=0

x=8

Answer:

x=8,y=0

Step-by-step explanation:

y=x-8

y=8-x

So,

x-8=8-x

x+x=8+8

2x=16

x=8

Now,

y=x-8

y=8-8

y=0

You can use the fact that when coefficient of x variable are of equal magnitude but opposite sign, then adding them will make the coefficient 0, thus, making the x variable eliminated.

The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is given by

Option A: –10 times the first equation and 3 times the second equation

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

\(a_1x + b_1y = c_1\\a_2x + b_2y = c_2\)

then, if we want to eliminate variable x, then we have to multiply equation 1 with

\(- \dfrac{a_2}{a_1}\)

which will make coefficient of x in first equation as

\(a_1 \times - \dfrac{a_2}{a_1} = -a_1\)

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

5 has 5 as magnitude, and sign isn't present which means its of positive (+) sign.

-5 has 5 as magnitude and sign is negative(-).

For this case, we're multiplying both the equations but the core concept or aim is same, ie, making the coefficients of equal magnitude but with opposite sign.

The given system of equations is

\(\dfrac{1}{5}x + \dfrac{3}{4}y = 9\\\\\dfrac{2}{3}x - \dfrac{5}{6}y = 8\)

Let two numbers be p,and q who multiply equation first and second respectively to make coefficient of x of equal magnitude but opposite sign.

We have

\(\text{Coefficient of x in first equation}= a_1 = \dfrac{1}{5}\\\\\text{Coefficient of x in second equation} = a_2 = \dfrac{2}{3}\)

Multiplying with p and q will give us

\(p\times a_1 = \dfrac{p}{5}\\\\q \times a_2 = \dfrac{2q}{3}\)

We need both resultant coefficient to add up to 0, or

\(p/5 + 2q/3 = 0\\p = -10q/3\\q = -3p/10\)

Now in options, we see first equation is either getting multiplied with -10, 10, or -3,3

If we put q = 3, we get p =  -10q/3=  -10

If we put q = -3, we get p = 10

If we put q = 5, we get p = -50/3

Thus only first choice is matching the correct pairs.

Thus,

The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is given by

Option A: –10 times the first equation and 3 times the second equation

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I know i am 2 weeks late but the answer is B, Have a good day :))

Answer:

a) distance = 0.5m

b) acceleration = -1.25m/s²

Step-by-step explanation:

v = d/t

d = vt

d = 10/20

= 0.5

a = v/t

= -10/8

= -1.25

a is negative because in the last 8s the care decelerate

The function f(x) = 0.45x + 12.50 models the situation where a bank charges $.45 for each check written plus a service charge of $12.50. The "x" represents the number of checks written during the month.

The function that models this situation can be written as:

f(x) = 0.45x + 12.50

In this function, "x" represents the number of checks written during the month. The term "0.45x" represents the monthly charge for maintaining the account based on the number of checks written (0.45 for each check). The term "12.50" represents the service charge.

To calculate the total monthly charge, you would substitute the value of "x" into the function. For example, if you wrote 10 checks during the month, the total monthly charge would be:

f(10) = 0.45(10) + 12.50
      = 4.50 + 12.50
      = $17.00

In conclusion, the function f(x) = 0.45x + 12.50 models the situation where a bank charges $.45 for each check written plus a service charge of $12.50. The "x" represents the number of checks written during the month.

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a. No, the number 0 is not in ∅ (empty set).

The empty set does not contain any elements, so it does not contain the number 0.

b. No, ∅ (empty set) is not equal to {∅}.

The empty set (∅) is distinct from a set that contains another empty set ({∅}). The empty set has no elements, while {∅} contains one element, which is the empty set itself.

c. No, ∅ (∅) is not an element of {∅}.

The set {∅} contains one element, which is the empty set itself. It does not contain any other elements, including the empty set.

d. No, ∅ (∅) is not an element of ∅ (empty set).

The empty set does not contain any elements, including itself. In other words, there are no elements in the empty set, so it cannot contain the empty set itself.

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It cannot be an element of itself or any other set.

a. Yes, the number 0 is in ∅. The empty set contains no elements. Therefore, it contains no non-zero elements, including 0.

b. Yes, ∅ = {∅}. ∅ is the set that has no elements. It is a subset of every set, even itself. Therefore, the set containing no elements is equal to the set containing only the empty set.

c. No, ∅ is not an element of {∅}. {∅} is a set that contains the empty set as its only element. It is not possible for ∅ to be one of its own elements because it contains no elements at all.d. No, ∅ is not an element of ∅. The empty set contains no elements.

Therefore, it cannot be an element of itself or any other set.

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer:

To the nearest cent, one gallon of gasoline cost $2.25

To find out how much one gallon of gasoline cost, we need to divide the total cost by the number of gallons.

We can use the following formula:

Price per gallon = Total cost / Number of gallons

Price per gallon = 27 / 12

Price per gallon = 2.25

We can see that one gallon of gasoline cost $2.25 to the nearest cent.

Step-by-step explanation: