A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford?

Answer:

A) 9 seconds

B) lowest point is -81 ft, or 81 ft below the top of the bungee jump

C) 18 seconds

Step-by-step explanation:

A) To find the x-value of the turning point (minima/maxima) differentiate, then set to zero and solve for x:

[tex]\dfrac{dy}{dx}=2x-18\\\\\implies \dfrac{dy}{dx}=0\\\\\implies 2x-18=0\\\\\implies x=9[/tex]

Therefore, it took 9 seconds to reach the minimum height

B) lowest point is when x = 9:

⇒ y = (9)² -18(9) = -81

Therefore, lowest point is -81 ft, or 81 ft below the top of the bungee jump

C) find x when y = 0

⇒ x² - 18x = 0

⇒ x(x - 18) = 0

⇒ x = 0  and  x - 18 = 0

⇒ x = 0  and x = 18

So he returned to the top of the bungee jump at 18 seconds

Answer:

A) 9 s  

B) -81 feet  

C) 18 feet

step by step explanation:

A)

[tex]\sf y = x^2 - 18x[/tex]

use the vertex formula: [tex]\sf \frac{-b}{2a}[/tex]

Here a = -18 and a = 1, these are coefficients from ax² + bx + x

solve:

[tex]\hookrightarrow \sf \frac{--18}{2(1)}[/tex]

[tex]\hookrightarrow \sf \frac{18}{2}[/tex]

[tex]\hookrightarrow \sf 9[/tex] s

It takes 9 s for Jason to reach his minimum height.

B)

if taken 9 s then put it in x and find the height reached

[tex]\sf \hookrightarrow \sf h(9) = 9^2 - 18(9)[/tex]

[tex]\sf \hookrightarrow h(9) = 81 - 162[/tex]

[tex]\hookrightarrow \sf h(9) = -81[/tex]

The lowest point is - 81 feet, as it says lowest.

C)

solve for when the height, y is 0

[tex]\hookrightarrow \sf 0 = x^2 -18x[/tex]

[tex]\hookrightarrow \sf 0 = x(x -18)[/tex]

[tex]\hookrightarrow \sf x = 0, \ x -18 = 0[/tex]

[tex]\hookrightarrow \sf x = 0, \ x = 18[/tex]

[tex]\hookrightarrow \sf\ x = 18[/tex]

Jason returned to the top of the bungee jump at 18 s.

[tex] \quad\rule{300pt}{1pt}[/tex]

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

[tex] \qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull[/tex]

Here,

[tex] \quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}[/tex]

[tex] \quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}[/tex]

[tex] \quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}[/tex]

[tex] \quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }[/tex]

[tex] \quad\dashrightarrow\quad \sf { P = 22.32}[/tex]

‎ㅤ‎ㅤ‎ㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !

[tex] \rule{300pt}{2pt}[/tex]

Sorting involves arranging a set of elements in a particular order (ascending or descending)

The list elements are given as:

3, 2, 4, 5, 1, 6

To sort the list in ascending order, the adjacent elements are compared, and the smaller element is pushed to the left.

So, we have the following steps

See attachment for the complete step that sorts the list

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Answer: 3

Step-by-step explanation:

3 minus 2 is 1.

1 to the power of 2 is still 1.

4 minus 1

= 3

Answer:

The interest earned at the end of 8 years is $5400, hope this helps!

Step-by-step explanation:

The interest earned at the end of 8 years is $5400.The fee you pay to borrow money or the fee you charge to lend money is called interest.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

It is given that, Simon put $15000 in an account with a simple interest rate of 4.5% for the time period of 8 years.

Principal,P = $15000

Rate,R = 4.5% per annum

Time period, T =8 years

The simple interest is found as,

SI = (P×R×T) / 100

Where P is the principal, T is the rate and T is the period.

SI =  ( $15000×4.5× 8 ) / 100

SI = $540000/100

SI = = $5400

Thus, the interest earned at the end of 8 years is $5400.

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Answer:

Question i)

If        y = 4x² - 4x - 1  

and   4x² - 4x - 1 = 0

then   y = 0

Therefore, we need to find the points on the curve where y = 0.

From inspection of the graph these are approximately when x = -0.25 and x = 1.25

So estimates of the solutions are (-0.25, 0) and (1.25, 0)

Question ii)

If        y = 4x² - 4x - 1

and   4x² - 4x - 1 = 2

then   y = 2

Therefore, we need to find the points on the curve where y = 2.

From inspection of the graph these are approximately when x = -0.5 and x = 1.5

So estimates of the solutions are (-0.5, 2) and (1.5, 2)

Answer:

X=6

Step-by-step explanation:

We know that the perimeter is the sum of all its sides.

[tex]P=63\\P=(4x-3)+(4x-3)+(4x-3)\\P=P\\(4x-3)+(4x-3)+(4x-3)=63\\12x-9=63\\12x=72\\x=\frac{72}{12} \\x=6[/tex]

Answer:

Step-by-step explanation:

Where 'c' is, plug its value into the equation:

3 < 9 - 7

Simplify (9-7)

9 - 7 = 2

"The crocodile ALWAYS eats the bigger umber" in true equations

3 < 2 reads: 3 is less than 2

Is 3 less than 2?

No, 3 is greater than 2.

Your answer is 'no'.

Answer:

They are not similar,

the reason why is because 56 degrees is given and the two sides that form the angle are the same length whilst the other triangle has two uneven sides that form a 56 degree angle.

Answer:

Revenue

$21.30

Profit:

$ 6.30

Step-by-step explanation:

I HOPE THIS HELPS

The parts of the expression, 5(4x + 2) ÷ 7y,

are:Sum: 4x + 2

Term: 7y

Product: 5(4x + 2)

Factor: 5

Quotient: 5(4x + 2) ÷ 7y

Coefficient: 7

What are the Parts of an Expression?

- Sum means addition, therefore, an example of sum in the expression, 5(4x + 2) ÷ 7y, is: 4x + 2.

- An example of a term is in 5(4x + 2) ÷ 7y is: 7y.

- Product means multiplication. An example of a product is: 5(4x + 2).

- An example of a factor in 5(4x + 2) ÷ 7y, is 5.

- Quotient means division. An example is: 5(4x + 2) ÷ 7y.

- Coefficient is a number multiplying a variable. An example is: 7 or 4.

Therefore, the parts of the expression, 5(4x + 2) ÷ 7y, are:

Sum: 4x + 2

Term: 7y

Product: 5(4x + 2)

Factor: 5

Quotient: 5(4x + 2) ÷ 7y

Coefficient: 7

Answer:

6/9, 12/18 (just 6 then 12)

Step-by-step explanation:

Please mark brainlest

Answer:

6/9  

12/18

Step-by-step explanation:

Hopefully this is correct

Answer:

Step-by-step explanation:

The whole thing is wrong

31 - 12 = x

X = 19

Hope this helped thanks.

Answer:

Melody added 12 to both sides when she should've subtracted 12 from both sides.

X = 19

Step-by-step explanation:

When solving equations, you have to do the opposite operation given on both sides of the equation. In this case, the operation that's happening is addition, so we have to subtract 12 from both sides.

Step 1: Subtract 12 from both sides.

The value of x of the factored expression when p = 4 and q = -4 is 1008

Factorisation is the breaking down of an entity or a mathematical expression.

Therefore,

x = p²q²q + pq - q³ - p³

it cannot be factored

x = p²q³ - q³ - p³ + pq

Therefore,

when p = 4 and q = -4

x = p²q³ - q³ - p³ + pq

x = (4)²(-4)³ - (-4)³ - (4)³ + 4(-4)

x = 16(-64) + 64 - 64 - 16

x = 1024 - 16

x = 1008

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Answer:

[tex]\sf x=-4[/tex]  [tex]\sf \ and[/tex]  [tex]\sf y=45[/tex]

Step-by-step explanation:

given:

[tex]\sf{-\frac{1}{2} x+\frac{1}{5} y=11}[/tex]

[tex]\sf{3 x+\frac{1}{4} y=-\frac{3}{4} }[/tex]

make x subject:

[tex]\sf{-\frac{1}{2} x+\frac{1}{5} y=11}[/tex]

[tex]\sf{-\frac{1}{2} x =11-\frac{1}{5}y}[/tex]

[tex]\sf{- x =22-\frac{2}{5}y}[/tex]

[tex]x =-22+\frac{2}{5}y}[/tex]

solve using substitution method:

[tex]\sf{3 x+\frac{1}{4} y=-\frac{3}{4} }[/tex]

[tex]\sf{3 (-22+\frac{2}{5}y) +\frac{1}{4} y=-\frac{3}{4} }[/tex]

[tex]\sf-66 +\frac{6}{5} y+\frac{1}{4} y = -\frac{3}{4}[/tex]

[tex]\sf 1.45y = 65.25[/tex]

[tex]\sf y=45[/tex]

then x will be:

[tex]x =-22+\frac{2}{5}y}[/tex]

[tex]x =-22+\frac{2}{5}(45)}[/tex]

[tex]\sf x=-4[/tex]

Answer:

Step-by-step explanation:

300.364 us liquid gallonsgallons

Answer:

13.18651685

13.9

Explain:

890-238=652
652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

As you see 18/13.18651685 will equal to 18 (not exactly since it is rounded)

And of course we need to round it to nearest tenth. So the answer would be 13.9!

The time taken for the element to decay to 238 grams is 13.9 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that element X decays radioactively with a half-life of 9 minutes. If there are 890 grams of Element X,

The time taken will be calculated as,

890-238=652

652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

Therefore, the time taken for the element to decay to 238 grams is 13.9 minutes.

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A linear transformation is used to illustrate a linear operator

It is true that U(T(x)) = x for all values of x

The linear functions are given as:

U(x1) and U(x2)

Given that the function U(x) is a one-one-one function, then we have:

T(U(x1)) = T(U(x2))

This becomes

x1 = x2

The above equations mean that the function U is invertible

So, we have:

S(U(x)) = U(S(x)) = x for all values of x

Also, we have:

T(U(x)) = x for all values of x.

This means that,

T(x) =  S(x) and U(T(x)) = x for all values of x, because U(S(x)) = x for all values of x

Hence, it is true that U(T(x)) = x for all values of x

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Answer:

She soled 58 small prints and one big print

Answer: Pie chart!

Step-by-step explanation: It is pefect for seperating things or people into sections that show how much % it takes of the whole. You would be able to have a section of each hair color in a pie chart.  hope it helps! ^w^

The claim of Miguel is correct, as the two events are independent because P(NF|PB) = P(NF).

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

The probability of event A, given that the event B is occurred.

Independent events are those events whose occurrences do not depend on the other events.

The two-way table shows the distribution of book style to genre is given as,

The first column has entries paperback, hardcover, total.

The second column is labeled Fiction with entries     20,   10,   30.

The third column is labeled nonfiction with entries    60,   30,  90.

The fourth column is labeled total with entries           80,  40,  120.

Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Suppose that two events are denoted by A and B. They are said to be an independent event if and only if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Put the values as,

[tex]\dfrac{60}{120}=\dfrac{80}{120}\times\dfrac{90}{120}\\\dfrac{1}{2}=\dfrac{1}{2}[/tex]

As both the values are equal. Thus, the claim of Miguel is correct because the two events are independent because P(NF|PB) = P(NF).

Learn more about the probability here;

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Answer:

The correct answer is option A. :)

Step-by-step explanation:

Just got it right on edge - the above answer helped and is correct :D

Brainliest would be greatly appreciated!

Answer:

125°

Step-by-step explanation:

a+b+c=180° (sum of a triangle is 180°

40°+15°+x = 180°

55°+x = 180°

x = 180°-55°

=125°

Answer:

19.2 cups of onion

Step-by-step explanation:

Given a salsa recipe uses green pepper, onion, and tomato in the extended ratio 4:5:6, how many cups of onion are needed to make 72 cups of salsa?

4x + 5x + 6x = 72

⇒ 15x = 72

⇒ x = 72 ÷ 15

⇒ x = 4.8

Onion: 4x = 4 x 4.8 = 19.2 cups

Answer:

[tex]{\large{ \red{{{19.2 }}}}}[/tex]

Solution:

[tex]4x + 5x + 6x = 72[/tex]

[tex]⇒ 15x = 72[/tex]

[tex]⇒ x = \frac{72}{15}[/tex]

[tex]⇒ x = 4.8[/tex]

Onion: [tex]4x = 4 \times 4.8 = 19.2 cups[/tex]

Answer: 5/8

Step-by-step explanation:

find common denominator:

Multiple: 3/4 * 5/6 = 3 · 5/4 · 6= 15/24 = 5 · 3/8 · 3 = 5/8 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator  GCD(15, 24) = 3. In the following intermediate step, cancel by a common factor of 3 gives 5/8. In other words - three quarters multiplied by five sixths = five eighths.

The answers for this task are gotten in most cases by Careful Observation of Liam DeWitt's Bank Account Information.

A bank account information refers to all the details present on or which can be deduced from one's statement or record of banking activities..

Liam's Average Daily Balance is: Total sum of balance each day divided by the number of days. That is
(250+87+1300+470-200+34.76+102.71+45.90+84.60)/9

ADB= $241.66

B) Liam's Monthly Periodic Rate (MPR) is the Annual Interest Rate divided by the number of periods. In this case, that will be:

19.8%/12

MPR = 1.65%

C) Liam's Finance Charge is (Average Daily Balance * APR)/365.

That is (241.66 * 19.8)/365 = 13.11%

D) Liam's New Balance is calculated by removing new inflow from old balance. That is

(250+87.60+1,300+470.63+34.76+102.71+45+848.60)-3,240.5

= $-101.20

E) Liam's Available Line of Credit is clearly stated as $4,000.

See the link below for more about Bank Account Information:

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Answer:

point B

Step-by-step explanation:

point B is located at (-2, 5).

Hope it helps you in your learning process.

Answer:

B

Step-by-step explanation:

It is on the -2 5 so therefore your answer is B.

D is on 2 and -5
C is on 5 and -2
A is on -5 and 2

Therefore, it's B confirmed.

Answer:

Step-by-step explanation: Hi there.

We can treat this problem just like a simple subtraction problem, like 3-2

It helps to form the equation like this:

x^2+9x+18

- (1x+06)

Remember that the operation changes the sign: -1x-6

The result is x^2+8x+12, and it is already in standard form.

Have a nice day! :)

Answer:

x² + 8x + 12

Explanation:

given:

solve function:

→ f(x) - g(x)

→ x² + 9x + 18 - (x + 6)

→ x² + 9x + 18 - x - 6

→ x² + 9x -x + 18 - 6

→ x² + 8x + 12