Yusuf makes 7 gallons of punch. How many cups of punch does he make?
(Hint: 1 gallon=4 quarts, 1 quart=2 pints, 1 pint=2 cups)

Answer:

a)

31.53

31.099

31.009 ⬅ (I'm assuming this one is a decimal too)

b)

0.03

0.009

0.007

Explanation:

Here ya go.

Hope this helps :)

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

Learn more about trigonometric ratios:https://brainly.com/question/23130410

#SPJ1

Hi! I hope you're enjoying your day!

Please remember that an arithmetic sequence is a sequence where we use either addition or subtraction to get to the next term.

Now, let's find an arithmetic sequence here.

Is it Option A?

Remember: It should have a common difference of 2.

Which means we either add or subtract 2 to get to the next term.

Well, it seems like Option A is right.

Let's check the other options.

Is Option B right? Nope.

Here's why.

Hint: Pay attention to the signs.

We have

1, -3, 5, -7, 9...

So Option B is wrong.

Option C is correct, because we subtract 2 each time.

Option D is wrong, because we multiply by 2 each time.

Hence, the right options are

\(\boxed{\boxed{\bold{Options~A~and~C.}}}\)

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

\(\rule{200}{2}\)

The value of the square root function after differentiation is  \(\frac{dy}{dx}= \frac{3}{x}\) .

The given equation is :

x³√4y = 5

Now we will use implicit differentiation

\(\implies3x^2\sqrt{4y} \ \ dx +x^3\times 2(-\frac{1}{\sqrt y}) =0\\\\\implies6x^2\sqrt{y}\ dx-2\frac{x^3}{\sqrt y}\ dy=0\\\\\implies \frac{dy}{dx}= \frac{3}{x}\)

In mathematics, the derivative of a simple function that resembles a real variable measures how sensitive the function's value (or output value) is to changes in the underlying assumption (input value). The derivative is the fundamental tool in calculus.

The value of y from the equation is :

y = 25/4 x⁻³

now if we differentiate this function we get the same result.

y'=3/x

Hence we can see that the value of both the solution are equal.

A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's point with regard to time.

Hence the required solution of the differentiation is  \(\frac{dy}{dx}= \frac{3}{x}\)

to learn more about square root visit:

https://brainly.com/question/15208820

#SPJ9

Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

Read more about Perimeter of triangle at; https://brainly.com/question/24382052

#SPJ1

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ1

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

21

Step-by-step explanation:

simply

the square represents 90 degrees and 90 - 61 is 21

Answer:

A

Step-by-step explanation:

Mother Russia is the mother land

Answer:

Step-by-step explanation:

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

a. One combination that satisfies the condition would be 7 pounds of zucchini and 3 pounds of broccoli. Since: 7*(1.5) + 3*2= 16.5. The sum of pounds is 10 and the price is different from 17.

b. One combination that satisfies the condition would be 10 pounds of zucchini and 1 pound of broccoli.

Since: 10*(1.5) + 1*2= 17. The sum of pounds is different from 10 and the price is equal to 17.

c. The combination that satisfies the condition would be 6 pounds of zucchini and 4 pounds of broccoli.

Since: 6*(1.5) + 4*2= 17. The sum of pounds is equal to 10 and the price is equal to 17.

The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The odds against winning a prize in the raffle are 13:1

This means 13 to 1 odds for winning:

The probability of winning a prize:

Winning = 13/(13+1) = 0.929 or

=92.8571%

Losing = 1 - 0.9286 = (0.0714) or

=7.14%

Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

0.071

Step-by-step explanation:

If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.

Answer #1:

the difference between the PARIMITER and AREA of a shape is

  - PARIMITER is the length of all sides in total

  - AREA is the square ore cubic measurement aka VOLUME of a shape

Answer #2:

the difference between 1in and 2in is 1 in

Step-by-step explanation:

#1:

say we have a square that is 2 by 3 units, to measure the shape in both mediums we will use two easy functions

  ~ PARIMITER = 10

to figure out the outside edge of this shape, we need to measure all single sides and add them together

(2 + 2) + (3 + 3) = 4 + 6 = 10

       ^  note: be sure to add BOTH sides even if they have same measurements, beings there are two sides that have a measurement of 2 units, we add them together, same with the sides of 3, then we add those together

  ~ AREA = 6

to find the area, we just need to take ONE of each axis side (ei only left or right, top or bottum, and in some cases front or back) and lay them as shown

width = 2

height = 3

then we multiply them with each other

2 * 3 = 6

#2

finding the difference between two numbers can be quite easy, all we do is subtract 1 from the other, and depending on the result, we can tell whats greater, lesser or indifferent, take a look here

say we subtract 2in from 1in

2in - 1in = 1in

we are left with 1in from the 2in, meaning that 2in is greater then 1in by 1in, HOWEVER if we subtract 2in from 1in

1in - 2in = (-1in)

the number is in the negative, meaning that there is 1in LESS in 1in then in 2in

NOTE sometimes we find out that one of has no difference or is the same as the other number, heres an example

3in - 3in = 0in

this equation represents that the first 3in is no greater, nor lesser then the second 3in, meaning both values are the same

PS: for real though i know these are easy questions but i figured id earn the crown hehe :3, feel free to fact check this if you want, and if you want to use this as foot notes for your work

Answer:

For the parallel line it will still have a slpoe of 2/3

Step-by-step explanation:

as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer:

When \( p^2 - 4p \) is subtracted from \( p^2 + p - 6 \), the result is \( 5p - 6 \). To get \( p - 9 \), subtract \( 4p + 3 \) from the result.

Step-by-step explanation:

✔️Subtracting \( p^2 - 4p \) from \( p^2 + p - 6 \):

\( (p^2 + p - 6) - (p^2 - 4p) \)

\( p^2 + p - 6 - p^2 + 4p \) (Distributive property)

Collect like terms

\( p^2 - p^2 + p + 4p - 6 \)

\( 5p - 6 \)

✔️Subtracting \( p - 9 \) from \( 5p - 6 \):

\( (5p - 6) - (p - 9) \)

\( 5p - 6 - p + 9 \) (distributive property)

Add like terms

\( 4p + 3 \)

Answer:

Step-by-step explanation:

The formula for calculating distance between two points is expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinates

x1 = x, y1 = 2, x2 = 3, y2 = 3 and D = 2

Substitute into the formula

2 = √(3-x)²+(3-2)²

2² = (3-x)²+(3-2)²

4 = (3-x)²+1²

4-1 = (3-x)²

3 = (3-x)²

Square root both sides

±√3 = 3-x

x = 3±√3

x = 3+√3 and 3-√3

Hence the value of x are (3+√3, 3-√3)

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

Read more about ratio at

brainly.com/question/1781657

#SPJ1

Answer:

p = 6

Step-by-step explanation:

5 + 2/3 (2p - 6) = 9

5 + 4/3p - 4 = 9

1 + 4/3p = 9

4/3p = 8

p = 6

Answer:

p= 6

Step-by-step explanation:

Solve for p:

(2 (2 p - 6))/3 + 5 = 9

Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:

(15/3 + (2 (2 p - 6))/3) = 9

15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:

((2 (2 p - 6) + 15)/3) = 9

2 (2 p - 6) = 4 p - 12:

((4 p - 12) + 15)/3 = 9

Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):

(4 p + (15 - 12))/3 = 9

15 - 12 = 3:

(4 p + 3)/3 = 9

Multiply both sides of (4 p + 3)/3 = 9 by 3:

(3 (4 p + 3))/3 = 3×9

(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:

(4 p + 3) = 3×9

3×9 = 27:

4 p + 3 = 27

Subtract 3 from both sides:

4 p + (3 - 3) = 27 - 3

3 - 3 = 0:

4 p = 27 - 3

27 - 3 = 24:

4 p = 24

Divide both sides of 4 p = 24 by 4:

(4 p)/4 = 24/4

4/4 = 1:

p = 24/4

The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:

Answer: p = 6

Answer:

hope that will help you

Answer:

The dot is division so 3 divided by2= minus 4=1

Answer: b) 180° rotation & reflection over x-axis

Step-by-step explanation:

Rotation of 180° changes the signs of both x and y.

(x, y) → (-x, -y)

Reflection over the x-axis changes the sign of y.

(-x, -y) → (-x, y)

 (x, y)        (-x, y)  

 (0, 1)   →    (0, 1)

 (1, -1)   →   (-1, -1)

 (5, 3)   →   (-5, 3)

The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Answer:

D. 4x² + 3x/2 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/2 - 3

g(x) = 4x² + x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

The answer is C.

Step-by-step explanation:

(f+g)(x)= f(x)+g(x).

So that would be x/2-3 + 4x^2+x-4.

If you combine like terms that would be:

4x^2+x/2+x-4-3=

4x^2+3/2x-7

Diane purchased 7 pens

Cost of one pen = 60 cents = 60/100 = $0.60

Cost of one pencil = 40 cents =40/100 = $0.40

let the number of pens bought = x

let the number of pencils bought = y

combining both equatons:

x + y = 17 ....equation 1

0.6x + 0.4y = 8.2 ...equation 2

using substitution method:

let's make x the subject of formula

from equation 1:

x = 17 - y ....equation 3

substitute for x in equation 2:

0.6(17 - y) + 0.4y = 8.2

10.2 - 0.6y + 0.4y = 8.2

collect like terms:

10.2 - 0.2y = 8.2

10.2 - 8.2 = 0.2y

2 = 0.2y

y = 2/0.2

y = 10

substitute for y in equation 1:

x + 10 = 17

x = 17 - 10

x = 7

x = number of pens = 7

Hence, Diane purchased 7 pens

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:

1.a.SAS axiom

b. ASA axiom

Step-by-step explanation:

There are five basic conditions for triangles to be congruent:

For Question:

1.

a. InΔABC and ΔBCD

AB=CD opposite sides of the parallel line are equal Side

∡BAC=∡BDA Given Angle

BC=BC Same side Side

It fulfills the condition of the SAS axiom,

InΔABC ≅ ΔBCD by SAS axiom

b. InΔABC and ΔCDE

∡ACB=∡DCE Vertically opposite angle Angle

BC=CD given Side

∡ABC=∡CDE right angle Angle

It fulfills the condition of the ASA axiom,

InΔABC ≅ ΔCDE by ASA axiom It may be R.H.S. axiom too.