Alonso buys 12 toys each day for 4 days. On the fifth day he buys 3 toys.

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer:

1.2 minutes, hope this helps (owo)/

Step-by-step explanation:

They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.

Answer:

10

Step-by-step explanation:

Probability is the likeliness of happening of an event.

Probability of any event A can be be defined by

no. of time event A happens/ total no. all possible  event that can occur

___________________________________

In the problem

probability of occurrence of 1 on rolling a cube is needed.

A cube has six sides with one written on one sides and rest has 2,3,4,5,6.

No of times 1 can occur on rolling the dice once will be = 1

Since there six sides and and each has different number (1,2,3,4,5,6)

There is chance that each of the number can come.

Thus, total no possible outcome = 6

Probability of occurrence of 1 = No of times 1 occurs on rolling the dice /total no possible outcome    = 1/6

_____________________________________________

If dice is rolled 1 time there is 1/6 chance that 1 will be the outcome.

If dice is rolled 1*60 time then there is 1/6*60= 10 chance that 1 will be the outcome

Thus , If you were to roll a six-sided number cube 60 times, about 10  times it is  expected that  the number cube to land on a 1.

Answer:

20

Step-by-step explanation:

Answer:

£460

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 2300 × 0.05 × 4 = 460

I = £ 460.00

The simple interest accumulated

on a principal of £ 2,300.00

at a rate of 5% per year

for 4 years is £ 460.00.

Answer:

Look down below

Step-by-step explanation:

It's been a little while since I've looked at compound inequalities, so forgive me if this is a bit long.

Let's start with the Low Elevation Forest. Let x represent what is considered the forest. If this is above 1700, x>1700 (which can be rewritten as 1700<x). (Remember, as silly as this may sound, the mouth of the alligator eats the larger part! So the large number has the wide part of the symbol. Remember also that if the sign is < or >, then it includes the number the 'mouth' is facing.) If the forest is up to 2500, you'll generally include 2500 in your equation, so x<2500. This means 1700<x<2500 or x>1700 and x<2500.

Now let's repeat that with the other parts of the question. Mid elevation is x>2500 and x<4000. Subalpine would be x>4000 and x<6500. Alpine is then x>6500 and x< the summit (which is probably the elevation of Mount Rainer in this problem or 14410 feet).

Now we have the question itself. Let's replace x with t for trees for part a. This would mean in the low elevation forest, t>1700 and t<2500 which can be rewritten 1700<t<2500. Now we have flowers in the subalpine AND alpine zones. Let's use f for flowers. If flowers can be in either zone, let's combine them! Because t>4000 and t<6500 in the subalpine level and t>6500 and < the summit (aka 14410 feet), flowers can grow anywhere  above 4000 feet. So flowers would be f>4000 and f<14410. Again, you can combine these into: 400<f<14410.

Sorry this is so long, but I hope it helps :)

Answer:

47 months

Step-by-step explanation:

find 6.1% of 15k then divide that by 300

6.1% = 915

15,000 - 915 = 14085

14085 divided by 300 is 46.95 then rounded is 47

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

To have a root of -2, you want a factor of (x+2) in your equation.

To have a root of -6, you want a factor of (x+6) in your equation.

Multiplying those together, you have y=(x+2)(x+6) or y=x^2+8x+12

This also has a leading coefficient of 1.

Answer:

length=4

Width=2×4-3=5

Step-by-step explanation:

Let length =X

Width =2x-3

Perimeter=18

2(length+width)=18

2(X+2x-3)=18

3x-3=9

3x=12

X=12/3

X=4

So length=4

Width=2×4-3=5

Answer:

\( \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}\)

\( \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}\)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

☯ Question :

☯ Step - by - step explanation :

✒ First, Let length of a rectangle be ' L '.

✑ Given :

☞ Finding value of length of a rectangle :

\( \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}\)

Plug the values and solve for L

➺ \( \sf{18 = 2(L+ 2L - 3)}\)

➺ \( \sf{18 = 2(3L - 3)}\) { Add : 2L and L )

➺ \( \sf{18 = 6L - 6}\) { Distribute 2 through the parentheses )

➺ \( \sf{6L - 6 = 18}\) { Swipe the sides of the equation }

➺ \( \sf{6L = 18 + 6}\) { Move 6 to right hand side and change it's sign )

➺ \( \sf{6L = 24}\) { Add the numbers : 18 and 6 }

➺ \( \sf{ \frac{6L}{6} = \frac{24}{6}} \) { Divide both sides by 6 }

➺ \( \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}\)

☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : \( \sf{2l - 3}\)

➺ \( \sf{2 \times 4 - 3}\) { Plug the value of length }

➺ \( \sf{8 - 3}\) { Multiply 2 by 4 }

➺ \( \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}\)

Hence ,

Hope I helped!

Have a wonderful day! ツ

~TheAnimeGirl ♡

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The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

do you have any people who could make you happy from where you are?

Answer:

I've been through this too.

I know it's hard. I know there are many things that trigger your cutting. I noticed you said you live on your pain. I did too. One way I coped was instead of cutting myself, I would have a rubber band on my self and snap the rubber band to my wrist when I felt like cutting. This helped a lot, and I still do it to this day. Please trust me, when you look back at yourself in the future you won't believe you did that to your beautiful body. Please trust me on this one. <3

Answer:

8/9 is correct

Step-by-step explanation:

8/9 is your answer!

~iwa-chan

Answer:

12, 14, 16

Step-by-step explanation:

Let's say x is the lowest number:

x+x+2+x+4=42

Simplify the equation:

3x+6=42

Subtract 6 on each side to isolate 3x:

3x=36

x=12

So the lowest number is 12, which means the next number(x+2) would be 14, and the following number(12+4) would be 16.

Happy learning!

--Applepi101

Answer:

let x be = three consecutive even numbers

x, (x+2),(x+4) = 42

x+x+2+x+4 = 42

3x+6 = 42

3x = 42-6

3x = 36

x = 12

so the first consecutive number is x = 12

second consecutive number is x+2 = 14

third consecutive number is x+4 = 16

EXPLANATION:

STEPS:

1.First we have to find the partial distances in the two equations given and then find the total, but to do so we must find the value of x, then replace it in each of the equations and finally the sum will give us the total of all the magnitudes.

2.

The value of n (FUGUR) will be;

⇒ n (FUGUR) = 112

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The data of mathematics students is,

60 study French, 30 study French and German

55 study German, 25 study French and Russian

75 study Russian, 35 study German and Russian

12 students study all the three languages.

Now,

Let F, G, R denote the set of students studying French, German and Russian respectively.

And, The data of mathematics students is,

n (F) = 60, n (F ∩ G) = 30

n (G) = 55, n (F ∩ R) = 25

n (R) = 75 , n (G ∩ R) = 35

n (F ∩ G ∩ R) = 12

Since, We know that;

⇒ n (FUGUR) = n (F) + n (G) + n (R) - n (F ∩ G) - n (F ∩ R) - n (G ∩ R)

                        + n (F ∩ G ∩ R)

Substitute all the values, we get;

⇒ n (FUGUR) = n (F) + n (G) + n (R) - n (F ∩ G) - n (F ∩ R) - n (G ∩ R)

                        + n (F ∩ G ∩ R)

⇒ n (FUGUR) = 60 + 55 + 75 - 30 - 25 - 35 + 12

⇒ n (FUGUR) = 112

Thus, The value of n (FUGUR) will be;

⇒ n (FUGUR) = 112

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Answer:

A = 18 in2

Step-by-step explanation:

Paralelogram area is A = b*h

then

A = 6*3

A = 18 in2

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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The patient consumed 1547.1098 milliliters of fluids in total. By converting the given units into milliliters, we get the required value.

The required conversions are:

1 ounce (oz) = 29.5735 ml

1 cup  = 236.588 ml

1 tbsp = 14.7868 ml

Given that, a patient consumed the following fluids:

1) 1000 ml of IV

2) 4 oz of juice ⇒ 4 × 29.5735 ml = 118.294 ml

3) 8 oz of milk ⇒ 8 × 29.5735 ml = 236.588 ml

4) 1/2 cup of chicken broth = 236.588/2 = 118.294 ml

5) 5 tbsp of jello = 5 × 14.7868 ml = 73.9338 ml

So, the total milliliters of liquid taken by the patient is

= 1000 + 118.294 + 236.588 + 118.294 + 73.9338 = 1547.1098 ml

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Answer:

  yes

Step-by-step explanation:

The domain is the set of x-values: {1, 2, 3, 4}. None of these are repeated, so this relation is a function.

Answer:

Since the vertex is (0,-3), we know that the equation of the parabola will have the form:

y = a(x - 0)^2 - 3

where "a" is the coefficient that determines whether the parabola opens up or down.

To find the value of "a", we can use the fact that the parabola passes through the point (4, -7):

-7 = a(4 - 0)^2 - 3

-7 + 3 = 16a

-4 = 16a

a = -1/4

Substituting this value of "a" into the equation for the vertex form, we get:

y = -(1/4)x^2 - 3

So the equation of the parabola in vertex form is y = -(1/4)x^2 - 3, with vertex (0, -3) and passing through (4, -7).

Step-by-step explanation:

Answer:

PQ = ST

Step-by-step explanation:

..................

Answer:

pq = st

Step-by-step explanation:

(a) The average cost in 2011 is  

(b) A graph of the function g for the period 2006 to 2015 is shown below.

(c) Assuming that the graph remains accurate, its shape suggest that the average cost increases at a slower rate as time goes on.

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

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Complete Question:

The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x) = -1736.7 + 1661.6Inx, where x = 6 corresponds to the year 2006.

(a) Estimate the average cost in 2011.

(b) Graph the function g for the period 2006 to 2015

(c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance?

Answer:

Starting with:

-15 > -11 + w

Add 11 to both sides:

-15 + 11 > w

Simplifying:

-4 > w

Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:

w < -4

Answer:

Step-by-step explanation:

40/30=409

Answer:

Step-by-step explanation:

There were 4 days when sales were 350 or less out of 6 days so

100(4/6)=400/6=\(66\frac{2}{3}\% $ or rounded to 66.67% $ \)

The percentage of the time did the gift shop have sales of $350 or less should be considered as the 66.67%.

Sinceas we can see that there are total 6 things out of which 4 should be within 350 or less than 350

So here the percentage be like

\(= 4\div 6\)

= 66.67%

Hence, The percentage of the time did the gift shop have sales of $350 or less should be considered as the 66.67%.

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Answer:

your answer is 406.

Step-by-step explanation:

4/5 x 10 will equal to 8. 8 times 17 equals 406.