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3 years ago

Ill give the crown things

Mathematics

2 answers:

dangina [55]3 years ago

7 0

Answer:

$28.000000000000000000000000000000000

Step-by-step explanation:

Lol they're called, wait, what are they called again? ;-; no no I really forgot this time.

Onto the Problamo

We purchase 8 books in total. The first two books cost $7. So that 2/8 books purchased. now we need to purchase 6 more. Because It says: $3.50 per book, we do 3.50*6 or 3.50+3.50+3.50+3.50+3.50+3.50. so 7$ from the 2 books from the first statement plus $21 from the leftover 6 books.

7+21=28$

so I owe the school book fair $28 in the end

kow [346]3 years ago

4 0

Answer:

28$

Step-by-step explanation:

You subtract 2 from 8 which is 6, you then multiply 6 times 3.50. Then add 7, which you get 28$

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The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago

The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life

krek1111 [17]

$\bf M(x)=c(0.5)^{\frac{x}{h}}\implies 10=36(0.5)^{\frac{x}{4.9}}\implies \cfrac{10}{36}=0.5^{\frac{x}{4.9}}
\\\\\\
\cfrac{5}{18}=0.5^{\frac{x}{4.9}}\implies log\left( \frac{5}{18} \right)=log\left( 0.5^{\frac{x}{4.9}} \right)
\\\\\\
log\left( \frac{5}{18} \right)={\frac{x}{4.9}}\cdot log\left( 0.5 \right)\implies 
\cfrac{4.9\cdot log\left( \frac{5}{18} \right)}{log(0.5)}=x$

5 0

3 years ago

50 pts!! jorge is factoring a quadratic expression. First, he factors out the greatest common factor, and then he uses grouping.

Gekata [30.6K]

Answer: A

Step-by-step explanation: gcf = 7

Grouping: 7((x+2)(x-2))

3 0

3 years ago

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A Pairs socks that normally sells for eight dollars is on sale for 15% off find the sale price of the socks then find the total

Lena [83]

Answer:

Step-by-step explanation:

The original selling price of the pair of socks is $8. The pair of socks is on sale for 15%. The new selling price of the pair of socks would be the original price - 15% off the original price. It becomes

8 - (15/100 × 8) = 8 - 0.15×8 = 8 - 1.2 = $6.8

if the sales tax rate is 8%, it means that the total cost of the socks would be the new selling price + 8% of the new selling price. It becomes

Total cost of the pair of socks

= 6.8 + (8/100×6.8) = 6.8 + 0.08×6.8 = 6.8 + 0.544 = $7.344

7 0

3 years ago

50 POINTS FOR THIS IFBYOU GIVE ME A DECENT ANSWER

defon

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The given equation is in intercept form:

x/(x-intercept) +y/(y-intercept) = 1

This means the x- and y-intercepts are (4, 0) and (0, -3), respectively. Plot these points and draw the line through them.

3 0

3 years ago