Simplify: 3h - 2 - 8h

ur question is incompleteness

The value of the investment at the end of 3 years would be \(\£7,524.6\).

Used the formula of the total amount that is,

\(A = P (1 + r)^n\)

Where A = Total amount.

P = Principal amount

r = Interest rate (in decimal form)

n = Number of years

Given that,

Chloe invests £6500 for 3 years at 5% per annum compound interest.

Here the given values are,

P = £6500

n = 3 years

r = 5% = 0.05

Substitute all the values in the above formula,

The value of the investment at the end of 3 years is,

\(A = P (1 + r)^n\)

\(A = \£6500 (1 + 0.05)^3\)

\(A = \£6500 \times (1.05)^3\)

\(A = \£6500 \times 1.05 \times 1.05 \times 1.05\)

Therefore, the investment at the end of 3 years is,

\(A = \£7,524.6\)

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Answer:

13 years old.

Step-by-step explanation:

Let x be the age of Jada

Given from the question:

Bobby's Age: 7x + 3 years old

Jada's Age: x years old

7x + 3 = 94

7x = 94 - 3

7x = 91

x = \(\frac{91}{7}\)

x = 13

Therefore Jada is 13 years old.

Answer:

294 in.²

Step-by-step explanation:

I believe this figure is a rectangular prism.

------------------------------------------------------------------------------------

Explain:

To find the surface area of a rectangular prism, use this formula:

\(SA=2lw+2lh+2wh\)

              or

\(SA=2(lw+lh+wh)\)

\(l-length\)

\(w-width\)

\(h-height\)

A phrase I use to help remember this formula is:

LISA WILSON LOST HER WITCH HAT TWICE (2)

------------------------------------------------------------------------------------

Solve:

The length of this rectangular prism is 9 in.

This width is 10 in.

The height is 3 in.

Now, I will plug the numbers into the first formula.

\(SA=(2*9*10)+(2*9*3)+(2*10*3)=294 in.^2\)

------------------------------------------------------------------------------------

Conclude:

I, therefore, believe the area of this rectangular prism is 294 in.²

Answer:

Step-by-step explanation:

a) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 3 days is 3/1, or 3/1 of a tank.

b) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 1 week is 7/1, or 7/1 of a tank.

It's worth noting that tanks of gas come in different sizes, so the amount of gas consumed in a day, week, or any other period of time will depend on the size of the tank, and the consumption of the car, so this answer is based on the assumption that a full tank is used every day.

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

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The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

The amount of mango juice you need is 8 litres

From the question, we have the following parameters that can be used in our computation:

Orange juice = 3 parts

Mango juice = 6 parts

When these parameters are represented as ratio, we have the following expression

Ratio = Orange : Mango

This is then represented as

Orange : Mango = 3 : 6

When the litres of orange juice is 4, we have

4: Mango = 3 : 6

Express as fraction

Mango/4 = 6/3

Multiply through by 4

Mango = 4 * 6/3

Evaluate

Mango = 8

Hence, the mango juice is 8 litres

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Answer:

1/5

Step-by-step explanation:

lmk if you want an explanation

Answer:

ok was it college math if so the I don't know

Answer:

Step-by-step explanation:

4/mx

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

Answer:

3 and 5/4th  and that transfers to 4 and 1/4 cups if she is baking both recipes

Step-by-step explanation:

Using proportions, it is found that the conversions are given as follows:

a) 175.89 rands were worth $14.07.

b) 56.56 dollars were worth 708.13 rands.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have the following proportion:

1 rand - 0.08 U.S. dollars.

Item a:

175.89 x 0.08 = $14.07, hence:

175.89 rands were worth $14.07.

Item b:

56.65/0.08 = 708.13, hence:

56.56 dollars were worth 708.13 rands.

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\( y = - \frac{3}{10} x - 8\)

\(y + \frac{3}{10} x = - 8\)

\(10y + 3x = - 80\)

\( \tt \: 3x + 10y + 80 = 0\)

Answer:

232343

Step-by-step explanation:

4343

Answer:

its 102002i45-08-5983-958y7 jnskp;xjgbna;xjgna['hg[ohj who cares about you

Step-by-step explanation:

Answer:

working on a answer one second

Step-by-step explanation:

Answer:

answer is. 200

ok my answrer is correct

Answer:

B I the answer I just did the same question

Anjelica is using synthetic division to divide

\(\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}\)

Steps given in option B are correct

Given :

Divide the given expression

\(\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}\)

Apply synthetic division

In synthetic division , we write all the coefficient inside the division

then solve the denominator for x  and write it outside

\(x+2=0\\x=-2\)

so we write -2 outside the division sign

Take down first number 2 as it is . Then multiply with -2  and put it below the second number . Add it and write it down . Continue the process.

-2              2       -9      -21    10

                 0        -4      26    -10              

--------------------------------------------

                  2       -13      5      0

the steps given in option B  are correct

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Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Answer:

75

Step-by-step explanation:

it would be the same as it opposite side S because they are the same

Answer:

  4 < 2a -4 < 10

Step-by-step explanation:

You have an expression for 'a'. To get an expression for 2a-4, multiply it by 2 and subtract 4.

  4 < a < 7

  8 < 2a < 14 . . . . . . multiply by 2

  4 < 2a -4 < 10 . . .  subtract 4

The two factors for the given equation x² + 5x + 6 will be : (x + 2)(x + 3)

To factorize a Quadratic Equation, we need to use the middle term split method in which we split the middle term of the equation in such a way that the product of the first and last number should be equal to the product of two numbers split from the middle term and, the split numbers should sum together to form the middle term back.

In this equation, x² + 5x + 6 the middle term is 5x. We need to split 5x into two numbers such that their Product = 6x² and Sum = 5x. By splitting the middle term, we get :

  =>   x² + 5x + 6   => x² + 3x + 2x + 6

taking x common from the first two-term and 2 commons from the last two terms,

 =>  x(x + 3) +2(x +3)   =>  (x + 3)(x + 2)

we get the factors: (x + 3)(x + 2)

Hence, after factorizing x² + 5x + 6, we get factors (x + 3)(x + 2).

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Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

\(9 + 1/2 *4*48\)

You multiply \(1/2 * 4\) first.

This gives you 2.  \(2*48=96\)

96 + 9 =105

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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The Monotone Convergence Theorem can be demonstrated by considering the decreasing sequence {a_n} = 1/n, which is bounded below by zero and converges to zero.

Consider the sequence of real numbers {a_n} defined as a_n = 1/n. We want to show that the sequence converges to zero.

First, notice that the sequence is decreasing since a_n+1 = 1/(n+1) < 1/n = a_n for all n ≥ 1. Moreover, the sequence is bounded below by zero since a_n > 0 for all n. Thus, the sequence {a_n} is a decreasing bounded sequence and by the Monotone Convergence Theorem, it must converge to some limit L.

Let's now calculate the limit L. Since the sequence is decreasing and bounded below by zero, its limit L must be greater than or equal to zero. Furthermore, for any ε > 0, there exists an N such that 1/n < ε for all n > N, since the sequence converges to zero. Therefore, we have

|a_n - 0| = |1/n - 0| = 1/n < ε for all n > N.

This shows that the limit of the sequence is zero, i.e., lim (n → ∞) 1/n = 0.

Thus, we have demonstrated that the Monotone Convergence Theorem applies to the sequence {a_n}, which is decreasing and converges to zero.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

Give an example to show that the Monotone Convergence Theorem?

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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The equation of the line in the slope-intercept form is: y = -2.00 x + 10.

The slope and provided point are both in the equation for the straight line.

The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.

y-y₁ = m(x-x₁)

It is the necessary equation for a line in the form of a point-slope.

That gift card to the Coffee Café has been provided. = $10

Medium coffee = $2.00

customers

The quantity of coffees a consumer can purchase can be represented using a linear equation.

Slope formula

m = (8 - 10)/(1 - 0)

m = -2

Now consider the line's point-slope shape.

y-y₁ = m(x-x₁)

( y - 10) = -2.00 ( x - 0)

y = -2.00 x + 10

The slope: m = - 2.00

The equation of the line: y = -2.00 x + 10

The y-intercept is 10

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