p(t)=0.0875t t 3.285 inverse

Answer:3/4

Step-by-step explanation: If you weigh a brick at 2/4 lbs, it will weigh less than a brick that weighs 3/4

A person race walking a distance of 20 kilometers in 100 minutes is more faster with a speed of 0.2 kilometer per minutes.

Mathematically, the speed of a physical object or body can be calculated by using this formula;

Speed = distance/time

Next, we would convert the unit of distance covered by the bird in miles to kilometers as follows:

1 mile = 1.60934 kilometer.

10,000 miles = X kilometer.

Cross-multiplying, we have:

X kilometer = 10,000 miles × 1.60934 kilometer.

X kilometer = 16,093.4 kilometer.

Also, we would convert the unit of time in days to minutes as follows:

1 day = 1,440 minutes

75 days = X minutes

Cross-multiplying, we have:

X minutes = 75 days × 1,440

X minutes = 108,000 minutes.

Now, we can calculate the speed of this bird as follows:

Speed = 16,093.4/108,000

Speed = 0.1490 kilometer per minutes.

For the speed of the person, we have:

Speed = 20/100

Speed = 0.2 kilometer per minutes.

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The probability that a person dies 3-4 years after diagnosis can be determined by summing the number of deaths within the given range and dividing it by the total number of cases.

Looking at the table, we can see that there were 4 deaths reported for the 3-4 year time period. To calculate the probability, we divide the number of deaths (4) by the total number of cases in the sample (100) and express it as a fraction:

Probability = Number of deaths / Total number of cases = 4 / 100 = 1/25

Therefore, the probability that a person infected with this illness dies 3-4 years after diagnosis is 1/25 or 0.040 (rounded to three decimal places).

In the given sample, there were a total of 100 cases. Out of those cases, 4 deaths occurred within the 3-4 year time period. To find the probability, we divide the number of deaths (4) by the total number of cases (100).

This probability represents the likelihood of a person dying 3-4 years after diagnosis, based on the given sample. By expressing it as a fraction, 1/25, we can understand that for every 25 infected individuals, on average, one person would die within the specified time range.

The decimal value of the probability is approximately 0.040, meaning there is a 4.0% chance of death within the 3-4 year period after diagnosis for a randomly selected person infected with this illness.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

The discussion is shown below:

Geometric constructions help us to draw lines, angles, and shapes with simple tools.

Given:

A copy of triangle ABC is drawn

He has constructed an angle D and side DE. All he needs to do is constructed another edge.

The process for constructing is to start with point D and create a ray with angle D to point DE.

In order to cross the ray at point F, draw a line parallel to AB.

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Answer:

1. To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping. For any dilation the mapping will be \begin{align*}(x, y) \rightarrow (kx, ky)\end{align*}. In this Concept, the center of dilation will always be the origin, unless otherwise stated.

2. When using State Plane coordinates the scale factors, also known as the K factors, are ratios that can be used as multipliers to convert ellipsoidal lengths, also known as geodetic distances, to lengths on the map projection surface, also known as grid distances, and vice versa.

3.Similar figures have the same shape (but not necessarily the same size) and the following properties: Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal. Corresponding angles are equal.

Step-by-step explanation:

I don't know if this helped but have a good day

Answer:

I am confident the answer is H.

Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)

Answer:

x² + 9x + 8

Step-by-step explanation:

Step 1: FOIL

x² + 8x + x + 8

Step 2: Combine like terms

x² + 9x + 8

Answer:

x^2 + 9x + 8

Step-by-step explanation:

(x + 1)(x + 8)

x(x + 1) +8(x + 1)

x^2 + x + 8x +8

x^2 + 9x + 8

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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Answer:

$6000

Step-by-step explanation:

200 dollars a week

spends 300 dollars every month

200 dollars*4 weeks in a month = 800 a month

800 dollars a month - 300 dollars spent every month = 500 remaining after each month

500 dollars a month remaining*12 months in a year = 6000 dollars left for other expenses in one year.

Hope this helps!

Answer:$6000

Step-by-step explanation:

there are 4 weeks in a month and he makes $200 a week so i multiplied it by 4 which equals $800 then i subtracted $300 for the monthly rent then i multiplied that by 12 and that got me to a total of $6000

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

Answer:

y=-2x

Step-by-step explanation:

rise over run. Points to points

you do down 2 to get to another point and you go over 1.

rear makes the slope -2x

Answer:

Hope this helps and have a nice day

Step-by-step explanation:

To find the value of x, we can use the formula:

Time = Distance / Speed

Let's calculate the time taken to travel from Q to P and back to Q.

From Q to P:

Distance = 12 km

Speed = 6 km/h

Time taken from Q to P = Distance / Speed = 12 km / 6 km/h = 2 hours

From P to Q:

Distance = 12 km

Speed = (6 + x) km/h

Time taken from P to Q = Distance / Speed = 12 km / (6 + x) km/h

Given that the total time taken for the round trip is 3 hours 20 minutes, we can convert it to hours:

Total time = 3 hours + (20 minutes / 60) hours = 3 + (1/3) hours = 10/3 hours

According to the problem, the total time is the sum of the time from Q to P and from P to Q:

Total time = Time taken from Q to P + Time taken from P to Q

Substituting the values:

10/3 hours = 2 hours + 12 km / (6 + x) km/h

Simplifying the equation:

10/3 = 2 + 12 / (6 + x)

Multiply both sides by (6 + x) to eliminate the denominator:

10(6 + x) = 2(6 + x) + 12

60 + 10x = 12 + 2x + 12

Collecting like terms:

8x = 24

Dividing both sides by 8:

x = 3

Therefore, the value of x is 3.

Answer:

x = 3

Step-by-step explanation:

speed  = distance / time

time = distance / speed

Total time from P to Q to P:

T = 3h 20min

P to Q :

s = 6 km/h

d = 12 km

t = d/s

= 12/6

t = 2 h

time remaining t₁ = T - t

= 3h 20min - 2h

=  1 hr 20 min

= 60 + 20 min

= 80 min

t₁ = 80/60 hr

Q to P:

d₁ = 12km

t₁ = 80/60 hr

s₁ = d/t₁

\(= \frac{12}{\frac{80}{60} }\\ \\= \frac{12*60}{80}\)

= 9

s₁ = 9 km/h

From question, s₁ = (6 + x)km/h

⇒ 6 + x = 9

⇒ x = 3

Answer:

y = 10/1x - 5

Step-by-step explanation:

y=mx+b

m=slope  b=y-intercept

therefore

y=10/1x -5

(10/1 is a fractions just too lazy to make it a fraction on here)

The detailed answer of this question is:

P(X > 100 | X > 50)=0.455

Given that X follows an exponential distribution, we know that the probability density function (PDF) of X is given by:

f(x) = λe^(-λx) for x ≥ 0

where λ is the rate parameter of the distribution.

We are given that P(X < 50) = 0.25. Using the cumulative distribution function (CDF) of X, we can write:

P(X < 50) = 1 - e^(-λ*50) = 0.25

Solving this equation for λ, we get:

λ = -ln(0.75)/50 ≈ 0.0278

Now, we are asked to find P(X > 100 | X > 50). Using the definition of conditional probability, we can write:

P(X > 100 | X > 50) = P(X > 100 and X > 50) / P(X > 50)

= P(X > 100) / P(X > 50)

= e^(-λ100) / e^(-λ50)

= e^(-λ*50)

Substituting the value of λ, we get:

P(X > 100 | X > 50) = e^(-0.0278*50) ≈ 0.455

Therefore, the probability that a high-risk driver will have an accident after 100 days given that they have not had an accident for the first 50 days is approximately 0.455.

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(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

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

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

Answer:

110

Step-by-step explanation:

So if add 75 + 35 you will get the number 110

Really hoped this helped

The expression Mr smith will earn in a day is e= 75 + 35c.

What is expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Mr smith earns $75 a day plus $35 for each.

if e is the amount he earned,

and c is the number of cars he sold

So, the amount he earned

e= 75 + 35c

Hence, the expression is e= 75 + 35c.

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Solution:

The number of movies 6 students reported they saw in the past year is;

The mean number of movies that the students saw is;

The mean round to the nearest tenth is 14.2

Also, the median is the middle number of the data set after arranging either in ascending or descending order.

The median number of movies the students saw is the average or mean of the third and fourth.

The median round to the nearest tenth is 13.5

Answer: See below

Step-by-step explanation:

The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.

\(m=\frac{-1-(-3)}{2-(-3)} =\frac{2}{5}\)

Now that we have the slope, we can fill out the point-slope equation.

y-(-3)=2/5(x-(-3))

y+6=2/5(x+3)

This is the point-slope form.

Now, we can distribute and solve to get slope-intercept form.

y+6=2/5x+6/5

y=2/5x-24/5

Answer:

70!

Step-by-step explanation:

If you divide the shape in rectangles, you'll just add it up in the end.

5 x 3 = 15

5 x 3 = 15

10 x 4 = 40

40 + 15 + 15 = 70.

Hope this helps!

Answer:

35.0169°

Step-by-step explanation:

35.0169°

I hope this helps you!!

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

Answer:

6400 AED

9.14%

yes. The interest rate is 9.14%. This is less than 10%

Step-by-step explanation:

Interest amount she would pay = total of loan to be repaid - amount borrowed

16,400 - 10,000 = 6,400 AED

Interest = loan x interest rate x time

we have all the parameters of the above equation apart from the interest rate. We can thus determine the interest rate from the above equation

6,400 AED = 10,000 x interest rate x 7

6,400 AED = 70,000 x interest rate

Divide both sides by 70,000 to find a value for interest rate

interest rate = 0.091429 = 9.14%

Answer:

I'm pretty sure it's 5h-2

Step-by-step explanation:

So (6h+1)-h-3

5h-2

Answer:

-2

Step-by-step explanation:

6h+1-(h+3)=6h+1-h-3=5h-2

Answer:

7

Step-by-step explanation:

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.

The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.

Examples

In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.

-3 + 3 = 0

3 - 3 = 0

The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.

Answer:

7

Step-by-step explanation:

The additive inverse of a number is is the number that, when added to it, yields zero.