what is the reciprocal of 1 1/4

Answer:

£6368

Step-by-step explanation:

You can start by making a formula, which will be:

100/100=1

1.5/100=0.015

1+0.015=1.015 (your multiplyer)

6000*1.015^n= your money after 4 years

(n represents the number of years)

Now you just put in the number of years:

6000*1.015^4=6368.181304

Now round:

Answed= £6368

Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.

I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).

The traditional interest formula is I = (P)(R)(N).

P = the original amount of money given

R = interest rate

N = the amount of time

I hope this answers your question (and that I understood the question correctly!).

-Toremi

Answer:

y=-0.5x+2 (-4,0) (0,2)   y=0.5x+6 (0,6)(12,0)

Step-by-step explanation:

Desmos

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

A and B are correct

Step-by-step explanation:

The middle letter represents the vertex of an angle. For instance, angle ABC has a vertex at B. Because the letter "e" is in the middle of angle FED and angle DEF, it represents the vertex of those angles. Hope this helps

We are told that the interest is compounded continuously, therefore, we use the following formula:

Where "A" is the present value, "P" the initial value, "r" the interest rate, and "t" the time:

Now we solve for "r", first by dividing both sides by "P":

Now we take natural logarithm to both sides:

Now we divide both sides by "t":

Now we replace the given values:

Solving the operations we get:

Therefore, the interest rate is 6.3%.

Answer:

total cost = cost/hour x hours

$18.00 = ($4.50)(X hours)

X=4 hours

Step-by-step explanation:

total cost = cost/hour x hours

$18.00 / 4.50=4 hours

Answer:

The proportion that is false is 18/48 = 30/50.

Step-by-step explanation:

To determine which of the given proportions is false, rewrite the fractions on both sides each equation so that the denominators are the same.

\(\dfrac{12}{15}=\dfrac{20}{25} \implies \dfrac{12 \div 3}{15 \div 3}=\dfrac{20 \div 5}{25 \div 5}\implies \dfrac{4}{5}=\dfrac{4}{5}\qquad \boxed{\sf True}\)

\(\dfrac{25}{45}=\dfrac{50}{90} \implies \dfrac{25 \div 5}{45\div 5}=\dfrac{50\div 10}{90\div 10}\implies \dfrac{5}{9}=\dfrac{5}{9}\qquad \boxed{\sf True}\)

\(\dfrac{20}{50}=\dfrac{40}{100} \implies \dfrac{20\div 10}{50\div 10}=\dfrac{40\div20}{100\div 20}\implies \dfrac{2}{5}=\dfrac{2}{5}\qquad \boxed{\sf True}\)

\(\dfrac{18}{48}=\dfrac{30}{50} \implies \dfrac{18\times 25}{48\times 25}=\dfrac{30\times 24}{50 \times24}\implies \dfrac{450}{1200}= \dfrac{720}{1200}\qquad \boxed{\sf False}\)

Therefore, the proportion that is false is 18/48 = 30/50.

a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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The factors of the polynomial are \(\rm (x^2+5)(x+4)\)

Factorization of an algebraic expression means writing the given expression as a product of its factors.

These factors can be numbers, variables, or an algebraic expression.

Given

The given polynomial is;

\(\rm x^3 + 4x^2 + 5x + 20\)

The factors of the polynomial are as follows;

\(\rm x^3 + 4x^2 + 5x + 20\\\\x^2(x+4)+5(x+4)\\\\(x^2+5)(x+4)\)

Hence, the factors of the polynomial are \(\rm (x^2+5)(x+4)\).

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Answer:

400 mph

Step-by-step explanation:

1200/3 = 400 miles per hour

Answer:

The total number of people at the stadium is 5,500

Step-by-step explanation:

2% of the fans in attendance were teenagers

if there were 110 teenagers at the football stadium

what is the total number of people at the stadium?

Let x = total number of people at the stadium

2% of x = 110

2/100 * x = 110

0.02x = 110

Divide both sides by 0.02

x = 110 / 0.02

= 5,500

x = 5,500

The total number of people at the stadium is 5,500

Answer: I think it's a relflection over x-axis followed by a rotation of 180 degrees which is b

Step-by-step explanation:

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin

There are three types of translations -

Given is to find the set of transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2).

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

Therefore, the transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

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1/2 x + 8 = 15  Grace will pay for a student ticket

the question requests the cost of a "student ticket." Because we don't know, let's assume the student ticket price is "x" dollars.

Because we know from the question that "the price of an adult ticket is half the price of a student ticket plus $8.00," we can represent the adult ticket price as follows:

1/2 x + 8

If we also get "An adult ticket costs $15.00" from the question, we can write the equation as:

1/2 x + 8 = 15

Grace will pay for a student ticket

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Answer: -1

Step-by-step explanation: Hope this helps have a good day!

Answer:

Step-by-step explanation:

Answer: She payed 16 dollars for them both.

Answer:

$16.00

Step-by-step explanation:

10% of $10.00 is $1.00. 1x6= 6

10+6 = 16

Answer:

your answer is D) Right Angles

Step-by-step explanation:

hope it helps!!!

Based on the advertiser's decision to reject the null hypothesis, the conclusion is that there is evidence to suggest that more than 61% of the newsletter publisher's readers own a Rolls Royce.

Based on the given information, the newsletter publisher believes that over 61% of their readers own a Rolls Royce.

The potential advertiser conducted a test at the 0.02 level of significance to verify this claim and decided to reject the null hypothesis.

In hypothesis testing, the null hypothesis (H0) typically represents the claim or assumption being tested, while the alternative hypothesis (Ha) represents the claim that opposes the null hypothesis.

The null hypothesis would be that 61% or fewer readers own a Rolls Royce, while the alternative hypothesis would be that more than 61% of the readers own a Rolls Royce.

Since the advertiser rejected the null hypothesis at the 0.02 level of significance, it means that the observed data provided strong evidence against the claim that 61% or fewer readers own a Rolls Royce.

The decision to reject the null hypothesis suggests that there is sufficient evidence to support the alternative hypothesis, which states that more than 61% of the readers own a Rolls Royce.

It's important to note that the conclusion does not provide an exact percentage or statistical evidence supporting the alternative hypothesis. It only indicates that the observed data was significant enough to reject the claim of 61% or fewer Rolls Royce owners among the readers.

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Answer:

there is not enough information to answer the question corrcectly, post the question again and dont be not-smart this time

Step-by-step explanation:

To solve the system of differential equations Sti' 22' - 5x1 + 022 1621 +3.02 21(0) = 1, 22(0) = 5 T1(t) = x2(t) =, follow the steps below.

Step 1: Find S'1 (t) from the first equation

Sti' = 5x1 - 022 1612 -3.02 21S'1 (t) = 5x1(t) - 2x2(t) - 3.02S'1 (0) = 5

Step 2: Find S1 (t) by integrating

S'1 (t)S1 (t) = ∫ [5x1(t) - 2x2(t) - 3.02] dtS1 (t) = 5∫ x1(t) dt - 2∫ x2(t) dt - 3.02t + CS1 (0) = C

Step 3: Find S'2 (t) from the second equation

Sti' 22' = 1621 + 3.02 22 - 5x1S'2 (t) = 16x2(t) + 3.02x2(t) - 5x1(t)S'2 (0) = 16x2(0) + 3.02x2(0) - 5x1(0)S'2 (0) = 80.1 - 25

Step 4: Find S2 (t) by integrating

S'2 (t)S2 (t) = ∫ [16x2(t) + 3.02x2(t) - 5x1(t)] dtS2 (t) = 16∫ x2(t) dt + 3.02∫ x2(t) dt - 5∫ x1(t) dt + CS2 (0) =

C'Using the initial conditions S'1 (0) = 5 and S'2 (0) = 55.1, we haveS1 (t) = 5∫ x1(t) dt - 2∫ x2(t) dt - 3.02t + CS2 (t) = 16∫ x2(t) dt + 3.02∫ x2(t) dt - 5∫ x1(t) dt + C'Initial conditions for the given system are T1(0) = 0 and x2(0) = 5.

Now we have to integrate S1(t) and S2(t) with the help of initial conditions.

S1 (t) = 5x1(t) - 2x2(t) - 3.02t + 6S2 (t) = 16x2(t) + 3.02x2(t) - 5x1(t) + 105/2Thus the solution of the given system is

S1 (t) = 5x1(t) - 2x2(t) - 3.02t + 6S2 (t) = 16x2(t) + 3.02x2(t) - 5x1(t) + 105/2.

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Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

The point of concurrency of the angle bisectors is called the incenter. The incenter is the center of the incircle of a triangle, which is the largest circle that can be inscribed within the triangle.

The center present in the largest circle that can be inscribed in the triangle is defined as incircle. It is in the equal distance from all the sides present in the triangle , which makes it unique comparing to others.

The line that bisects the angle which is also called as angle bisector is one of the method to find the incenter. It divide the entire triangle into three triangles of same area and length. The triangle includes three bisectors to each angle.

These bisectors are intersected at the same point in the triangle , which is also termed as incenter of the triangle. This is because the incenter is in equal distance from each of the every side of the triangle, and this makes the angle bisectors to divide the triangle into parts which makes the incenter equidistant from all three sides of the triangle.

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Answer:

(3, 14.25)

Step-by-step explanation:

That’s where the graph intersects.

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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Answer:

735 students

Step-by-step explanation:

create a proportion of students to teachers

let 's' = # of students

\(\frac{15}{1}\) = \(\frac{s}{49}\)

cross-multiply to get:

s = 735

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

\((4,2)\)

Step-by-step explanation:

In our graph only \((4,2)\) makes sense

The last one makes an upside-down triangle which is not what we're looking for

The third one makes a weirdly shaped one which we're not looking for

The second one doesn't look like the triangle we're looking for so it's incorrect

This means the first one is correct

Brainliest please