Jessica has to make a trip of 8925 MI. if she travels 425 miles a day how long will the trip take? ​

Answer:

p < -9

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

4p - 1 < 3p - 10

Step 2: Solve for p

Here we see that any number p less than -9 would work as a solution to the inequality.

Answer:

-7 1/3 - (-2/5)

Step-by-step explanation:

-22/3 + 2/5

(-110+6)/15

-104/15

-6. 933

ans is -6. 933

Answer: -104/5

Step-by-step explanation:

-22/3 + 2/5 = -104/15

Answer:

If Connor makes x dollars in sales, he will make 0.05x + 300 that week.

He makes $408.75 in a week if he makes $2175 in sales.

Step-by-step explanation:

y = 0.05x + 300

y = 0.05(2175) + 300

y = 408.75

Answer:

0.0018 = 0.18% probability of two out of tree people having a reaction.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a reaction, or they do not. The probability of a person having a reaction is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability of someone having a reaction to a medication is 0.025.

This means that \(p = 0.025\)

What is the probability of two out of tree people having a reaction?

This is \(P(X = 2)\) when \(n = 3\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{3,2}.(0.025)^{2}.(0.975)^{1} = 0.0018\)

0.0018 = 0.18% probability of two out of tree people having a reaction.

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

1, 4², 9² , __, 25² , 36²

Difference between first term = 4 - 1 = 3

9 - 4 = 5

x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

Bonjour!

This is a very simple calculation.

All you must do is take your months (210), and divide it by 12 since there are 12 months in each year.

So 210 divided by 12 = 17.5.

So 210 months is equvilant to 17.5 years.

(17 years and 6 months)

Au revoir ;)

A) A 747 Airplane is 762 inches tall. 762 inches is equal to 63.5 feet, so the airplane is 63.5 feet tall.

An airplane is a type of aircraft that is heavier than air and propelled by one or more jet engines. It is used for transport across long distances, typically carrying passengers and cargo.

The river raft ride at the amusement park can hold 12 riders at a time. 527 people divided by 12 riders per ride is 44.75. This means the ride will need to run 44 times in order to get all 527 people through the ride.
One school bus can hold 46 students. There are 24 students in each of the 5 fifth grade classes. 24 students times 5 classes is 120 students, so they will need 3 buses in order to transport everyone to the zoo for a field trip.
Write and solve a word problem that requires long division AND has a remainder.
Samantha has 192 lollipops. She wants to evenly divide them into bags of 10. How many bags will she need and how many lollipops will be left over?
192 divided by 10 is 19 with a remainder of 2. Samantha will need 19 bags and will have 2 lollipops left over.

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The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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Answer:

156.6

Step-by-step explanation:

Sorry for the messy handwriting.

Hope this helps!

The proportion in the tail with regards to the z scores will be:

a. z= 1.00

P(z > 1.00) = 1 - P(Z < 1.00)

= 1 - 0.8413

= 0.1587

The tail will be on the right side.

The proportion of the tail will be 0.1587.

b. z = 0.50

P(z > 0.50) = 1 - P(Z < 0.50)

= 1 - 0.6915

= 0.3085

The tail will be on the right side.

The proportion of the tail will be 0.3085

c. z= -1.25

P(z < -1.25)

= 0.1056

The tail will be on the left side.

The proportion of the tail will be 0.1056.

d. z= -0.40

P(z < -0.40)

= 0.3446

The tail will be on the left side.

The proportion of the tail will be 0.3446.

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Answer:

-437

Step-by-step explanation:

Substitute the knowns into 12x−3y4x−z

12x = 12*3 = 36

3y = 3*13 = 39

4x=4*3 = 12

z=5 = 5

So, 36-(39*12)-5 = -437

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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To find out, suppose \((x_{1}, y_{1})\) and \((x_{2} ,y_{2} )\) are two points on the graph of

y = mx + b.

Then \(y_{1} =mx_{1} +b\) and \(y_{2} =mx_{1} +b\).

Use algebra to simplify \(\frac{y_{2} -y_{1} }{x_{1} -x_{2} }\)

And give a geometric interpretation.

Hope this helps,

ROR

Answer:

A.

x = 0 corresponds to first piece of x ≤ 1, so it is:

B.

At x = 0, the value of function is:

See the attached graph for A to D parts of the question.

Answer:

Trend wants to buy a new bicycle which costs 320$.

He has 35$ saved and earns 15$ each week.

After a number of weeks (a), the amount money he has: A = 35 + 15 x a

If Trend has enough money to buy that bicycle, we have the equation:

35 + 15 x a = 320

=> 15 x a = 320 - 35

=> 15 x a = 285

\(a = \frac{285}{15} = 19\)

=> After 19 weeks, Trent will have had enough money to buy that bicycle

Hope this helps!

:)

Step-by-step explanation:

Just :    5,8374

The given polynomial is

x^3 - 7x - 6

We would equate eaxh factor to zero, solve for x to get the root. We would substitute the value of x into the polynomial. If the result is zero, then it is a factor. We have

Considering x + 1,

x + 1 = 0

x = - 1

Substituting x = - 1 into the polynomial, it becomes

(- 1)^3 - 7(- 1) - 6

- 1 + 7 - 6

= 6 - 6 = 0

Since the result is zero, x = - 1 is a root. Thus, the correct option is

D. x + 1

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer:

(-3/2x+1) + (3/x-1)

Step-by-step explanation:

Dont put the answer in parenthesis, I just did that to seprate it so it was easier to read. If you need it to be put in word form for it to be easier for you to understand, its "negative three divided by two x plus one, plus 3 divided by x minus 1"

First, rewrite the expression as 3x+6/2x^2+x-2x-1

Then, factor the expression, 3x+6/x*(2x+1)-(2x+1) (*=multiply)

Then, write a new fraction for each factor in the denominator, then write a new fraction, 3x+6/(2x+1)*(x-1) to (A)/2x+1 + B/x-1)

Then write terms in the numerators, for now we will use A and B.

Now we set the sum of the fractions equal to the original fraction.

3x+6/(2x+1)*(x-1) = A)/2x+1 + B/x-1).

Then reorder and group the terms, giving you 3x+6=(A+2B)x+(-A+B).

Now equate the coefficiants, {6= -A+B, 3= A+2B

Then substitute back, (A, B)=(-3, 3)

Now finally, just rewrite the fraction. (-3/2x+1) + (3/x-1)

Hope this helps! Sorry its kind of long.

9514 1404 393

Answer:

  (a)

Step-by-step explanation:

The appropriate graph is the one that has x-values greater than 7.5 shaded. That is the meaning of ...

  7.5 < x

Answer:

The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped

Step-by-step explanation:

The quadratic equation in vertex form is y = 9(x²+ 1/2)² - 5/4

We have the quadratic quation y = 9x²+9x -1

Factor the first-two terms. That is:

y = 9x²+9x -1

9(x²+1) - 1 = 0

9(x²+x) = 1

Add the square half of the coefficient of x to both sides:

9(x²+x+(1/2)²) = 1 +(1/2)²

9(x²+ 1/2)² = 5/4

9(x²+ 1/2)² - 5/4 = 0

Thus, the quadratic equation in vertex form is y = 9(x²+ 1/2)² - 5/4

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