Plot points between and beyond the Exitir serves in the vertical asymptote evaluate the function at -5, -2,2,5 and 6 Simplify

648cubes

The formula for calculating the volume of a box is expressed as

where;

l is the length

w is the width

h is the height

Find the volume of the shipping box

Determine the dimension of the cubic package

Determine the number of cubes that can fit in the shipping box.

Therefore the maximum number of cubes that can fit into the box is 648cubes

Answer:

v-x=&56

Step-by-step explanation:

i catrostiphically BELIVE THT IT IS THE FLYRIDE ANDREW TATE INN ADOPT ME

The assumption Ethan made was correct

What is Fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Ethan said that the result of 10 and 4.07 is 40.7, thus we must verify that his computation is accurate.

In order to do such, we must multiply 10 by 4.07 as illustrated below:

= 10 x 4.07

= 10 x 407/100

= 4070/100

= 40.70

Since the outcome matches Ethan's hypothesis,

The conclusion is valid.

Hence, The result of Ethan is correct

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For a population with parameters as shown in the image below

(a) Mean of the distribution

(b)Standard deviation of the distribution

Hence the value of the mean of the distribution = 245.9 and the standard deviation of the distribution = 1.83

Answer:

See below

Step-by-step explanation:

She needs 32 ounces finshed product

  x = 16 % amount     amount of acid  = .16x

  then (32-x) = 8% amount    amount of acid = .08(32-x)

      final product 9% acid   =    .09 (32)

.16x      +      .08 ( 32-x)    = .09(32)    

   solve for x = 16% amount = 4 ounces      8% then is  28 ounces

Given in the question:

a.) A washer and a dryer cost $649 combined.

b.) The washer costs $51 less than the dryer.

From the given description, let's transform them into an equation.

Let,

x = Cost of washer

y = Cost of dryer

a.) A washer and a dryer cost $649 combined.

b.) The washer costs $51 less than the dryer.

From the generated equation, substitute x = y - $51 to x + y = $649.

We get,

Therefore, the cost of the dryer is $350.

Let's find the cost of the washer.

Therefore, the cost of the washer is $299.

The amount of money more that his shirt cost in Fresno than Bakersfield is $0.145.

Given that the amount of shirt is $20. The value of the shirt in Fresno will be:

= Cost + Tax

= $20 + (8.225% × $20)

= $20 + $1.645

= $21.645

The value in Bakersfield will be:

= Cost + Tax

= $20 + (7.5% × $20)

= $20 + $1.5

= $21.5

The difference will be:

= $21.645 - $21.5

= $0.145

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Answer: 0.6 I think.

Step-by-step explanation:

9 / 15 is 0.6

if I'm wrong I'm sorry!

I don't want to give people the wrong answers!

Solution:

Let x the cost for a night and y the cost to rent a car for a day.

Connor = 3 nights and 4 days = 3x + 4y = 675

Jillian = 4 nights and 5 days = 4x + 5y = 875

3x + 4y = 675 Multiply by 5

4x + 5y = 875 Multiply by 4

we get:

15x + 20y = 3375

16x + 20y = 3500

now, subtracting the two previous equations we obtain:

15x + 20y = 3375

-

16x + 20y = 3500

________________

-x + 0 = -125

x = 125

then, we can conclude that the correct answer is:

$125

Answer:

f(1) + g(2) = 7

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=-x^2+2x-3\\g(x)=10-\dfrac{1}{2}x \end{cases}[/tex]

To find f(1), substitute x = 1 into function f(x):

[tex]\begin{aligned}x=1 \implies f(1)& =-(1)^2+2(1)-3\\& = -1+2-3\\&=1-3\\&=-2\end{aligned}[/tex]

To find g(2), substitute x = 2 into function g(x):

[tex]\begin{aligned}x=2 \implies g(2)& =10-\dfrac{1}{2}(2)\\& =10-1\\&=9\end{aligned}[/tex]

Therefore, to evaluate f(1) + g(2), sum the two values found for f(1) and g(2):

[tex]\begin{aligned}\implies f(1)+g(2)&=-2+9\\&=7\end{aligned}[/tex]

As one calculation:

[tex]\begin{aligned}\implies f(1)+g(2)&=-(1)^2+2(1)-3+10-\dfrac{1}{2}(2)\\&=-1+2-3+10-1\\&=1-3+10-1\\&=-2+10-1\\&=8-1\\&=7\end{aligned}[/tex]

ANSWER:

143 - b

STEP-BY-STEP EXPLANATION:

Given:

Original quantity: 143

Amount given away: b

The amount of cards Ruben has today will be equal to the difference between the original amount and the given amount, it will be written as the following expression:

The probability that at most [tex]30[/tex] fail during the first​ year is 0.14550.

A certain type of electrical switch has an exponential distribution with an average life of [tex]\beta =5[/tex] years.

The installed switches in different systems n = 200.

We have to find the probability that at most 30 fail during the first​ year.

We can find the probability using,

P [tex]=1-e^{-1/\beta }[/tex]

Putting the value

P [tex]=1-e^{-1/5 }[/tex]

P [tex]=1-e^{-0.2}[/tex]

P [tex]=1-0.8187[/tex]

P = 0.1813

Now we find the mean[tex](\mu)[/tex].

[tex]\mu=n\times[/tex] P

[tex]\mu=200\times 0.1813[/tex]

[tex]\mu=36.26[/tex]

Now finding the standard deviation[tex](\sigma)[/tex].

[tex]\sigma=\sqrt{\mu(1-P)}[/tex]

Now putting the value

[tex]\sigma=\sqrt{36.26(1-0.1813)}[/tex]

[tex]\sigma=\sqrt{36.26\times0.8187}[/tex]

[tex]\sigma=\sqrt{29.686}[/tex]

[tex]\sigma=5.448[/tex]

z score,

[tex]z=\frac{(x-\mu)}{\sigma}[/tex]

Now probability that at most 30 fail during the first​ year.

From the continuity correction,

P(x ≤ 30) [tex]=P(x < 30.5)[/tex]

P(x ≤ 30) [tex]=P(\frac{x-\mu}{\sigma} < \frac{30.5-36.26}{5.448})[/tex]

P(x ≤ 30) [tex]=P(\frac{x-\mu}{\sigma} < \frac{-5.76}{5.448})[/tex]

P(x ≤ 30) [tex]=P(\frac{x-\mu}{\sigma} < -1.058)[/tex]

From the standard table

P(x ≤ 30) = 0.1455

Hence, the probability that at most [tex]30[/tex] fail during the first​ year is [tex]0.1455[/tex].

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1. Cubes of all even natural numbers are even.

2. Cubes of all odd natural numbers are odd.

3. The sum of the cubes of first \ (n\) natural numbers is equal to the square of their sum.

4. Cubes of the numbers ending with \ (4, 5, 6\) and \ (9\) are the numbers ending in the same digit. ...

Hope this helps!

The additive inverse is 10(1/4)

By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The attributes of additive inverse are outlined below based on the negation of the original number. For instance, if the beginning integer is x, the additive inverse of x is -x.

The additive inverse of a number is the one that, when added to, yields zero. Other names for this exact number include sign change, negation, and the opposite (number).

Given -10(1/4)

-10(1/4) + 10(1/4) = 0

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Equation:

P(x)= 5b^x

Where:

x = time in weeks

b= unknown base

When t= 0

P(0)= 5 b^0

P(0)= 5

a. The fisherman released 5 fish into the lake.

Answer: x= -13/4 OR -13=4

Step-by-step explanation: There you go just follow the distribution and then the multi step equations to solve the answer

−5(−2)=−+23

−5+10=−+23

−5=−+13

x = -13/4

We are asked to determine a quadratic equation given a set of points. To do that, let's remember that a quadratic function is of the following form:

Now we replace the given points:

Replacing (3, -6)

Replacing (1, -2)

Replacing (6, 3)

We get a system of three equations and three variables, these are:

Solving for "c" in equation (1):

Solving for "c" in equation (2):

Solving for "c" in equation (3)

equating equations (4) and (5):

Rewritting:

equating equation (5) and (6):

Rewritting:

Now we solve for "a" in equation (7):

Replacing the value of 2a" in equation (8)

Solving the operations:

Solving for "b":

Adding 7/2 to both sides:

Therefore, b = 9.

Replacing this value in equation (7)

Replacing in equation (2)

Adding like terms:

Adding 5 to both sides:

Therefore, the quadratic equation is:

1) In this case, let's do it by PEMDAS order of operations.

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

2) So let's begin with the parentheses:

Answer:

Solution(s) below.

Step-by-step explanation:

This question involves the concept of reading values from graph.

The first 3 questions are basically asking you to find the value of y when x is a certain value.

a) g(7) is asking to find the value of y when x = 7.

So we can see from the graph, when x = 7, y = 4.

b) g(0) is asking to find the value of y when x = 0.

So we can see from the graph, when x = 0, y = 7.

c) g(-5) is asking to find the value of y when x = -5.

So we can see from the graph, when x = -5, y = 6 (Read from the value of 5 on the left side of the graph since x is negative.)

d) This question is asking us to do the opposite compared to the other 3 questions, its asking us to find the value of x when y = 3.

So, we can see from the graph, when y = 3, x = 9.

Answer:

One shirt costs $80 and a pair of jeans equals $`15.

Step-by-step explanation:

If the shirt would cost $80 and you get 1, the jeans would equal 15. 2 pairs of jeans is 30, leaving $80 for the 1 shirt. You buy 1 pair of jeans, 15, and get 3 shirts for 135, 3 shirts would be 120. 120 + 15= 135. 80 + 15 + 15= 120.

Answer:

One shirt costs 30

Step-by-step explanation:

So, we don't know the prices for 1 shirt & 1 jeans, and we're to find the value of 1 shirt. Let's take it that:

1 shirt costs: x

1 jeans costs: y

Given that two persons in the names of Joe and Sam bought 2 pairs of jeans and 1 shirt for 120 and 1 pair of jeans and 3 shirts for 135 respectively, we can actually see that both persons bought jeans and shirts for different values. With the information, we convert to simultaneous equation.

The first info states that:

[tex]2y + x = 120→equ(i)[/tex]

The second info states that:

[tex]y + 3x = 135→equ(ii)[/tex]

Now, since we are to find the cost of 1 shirt (x), we make y the subject of formula in equation (ii) to solve for x.

[tex]y = 135 - 3x→equ(iii)[/tex]

Replace for the value of y in equation (i)

[tex]2(135 - 3x) + x = 120[/tex]

[tex]270 - 6x + x = 120[/tex]

Take like terms

[tex]-5x = 120 - 270[/tex]

[tex]-5x = -150[/tex]

Divide both sides by -5 to find the value of x

x = -150/ -5

Therefore: x = 30

Replace for the value of x in any of the equations

y = 45

There is an infinite number of values that are in both the domain and range.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The collection of all potential inputs for a function is its domain.

Given Data

Range of a function in the form f(x) = m√x, where m is a real number greater than 0

There is an infinite number of values that are in both the domain and range.

The range of a function always has an unlimited number of values when the domain of the function does. The claim is untrue because more than one input and output might have been matched.

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Solution:

Given the equation;

Thus, the solution of the quadratic equation is;

Answer: a. p(-3) = 6 b. c = -2 , c = 1

Step-by-step explanation:

a. Evaluate p(-3):

Step 1: Plug in -3 into c

p(-3) = (-3)^2-3

Step 2: Use PEMDAS

p(-3) = 9-3

Step 3: Subtract

p(-3) = 6

b. Solve p(c) = 2:

Step 1: Set the equation equal to 2

2 = c^2+c

Step 2: Bring the 2 to the right

c^2+c-2 = 0

Step 3: Factor

(c+2)(c-1) = 0

Step 4: Use the Zero Product Property

c = -2 , c = 1

Step-by-step explanation:

a.

this is totally easy.

we need to put the given value for c (-3) into all the places of c in the functional expression and then calculate.

p(-3) = (-3)² + -3 = 9 - 3 = 6

b.

this is a bit trickier.

p(c) = 2

so,

c² + c = 2

c² + c - 2 = 0

remember, how 2 sums are multiplied with each other :

(a + b)(c + d) = ac + ad + bc + bd

to make it clearer, the functional expression suggests that a = c.

so,

(c + b)(c + d) = c² + cd + bc + bd = c² + c(d + b) + bd

when we compare this to our equation c² + c - 2 = 0, that means

d + b = 1

-2 = bd

when we think about integer numbers, what comes to mind ?

d = 2

b = -1

or vice versa. but the sequence does not matter, because we bring them together in an addition and in a multiplication, where the commutative principle is active (the sequence does not matter).

so,

c² + c - 2 = (c + 2)(c - 1)

and that must be 0.

so,

(c + 2)(c - 1) = 0

when is a product 0 ? when at least one of the factors is 0.

therefore, either

c + 2 = 0

c = -2

or

c - 1 = 0

c = 1

the solution is

c = -2

or

c = 1

Answer: 4/7 or 0.571428

Step-by-step explanation:

convert the expression

4/1 x 1/7

multiply the fractions

4x1 / 1x7

calculate the products

4/7 or 0.571428

Answer:

4 * 1/7 simplified is 4/7

Step-by-step explanation:

let me know if you want a thorough explanation!

Answer

Total distance travelled = 502.86 feet

Explanation

To know how far one would go, we need to first find the circumference of the ferris wheel. Since it is circular in shape,

Circumference = 2πr

where

π = pi = (22/7)

r = radius of the ferris wheel = 16 feet

Circumference = 2πr

Circumference = 2 × (22/7) × 16

Circumference = 100.57 feet

So, if one now goes round this exactly 5 times,

Total distance travelled = 5 (Circumfernce of the ferris wheel)

Total distance travelled = 5 (100.57)

Total distance travelled = 502.86 feet

Hope this Helps!!!

Answer:

nitrogen is most abundant in atmosphere and soil

x=16

given the function

Step 1

as we need x is terms of y, let's solve for x

a) add y in both sides

b) divide both sides by 6

Step 2

now, evaluate for y=-2

therefore, the answer is

x=16

I hope this helps you

The given functions are

The first part consists in adding the functions f(t) + g(t)

Let's factor the square difference

Now, we simplify

Hence, the addition of the given functions is

On other hand, let's solve the difference

Hence, the difference is