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3 years ago

Jason was asked 40 questions on a quiz show. He answered 85% of the questions correctly.how many did he answered correctly

Mathematics

1 answer:

ipn [44]3 years ago

5 0

Answer:

34 questions

Step-by-step explanation:

85 percent * 40 =

(85:100)* 40 =

(85* 40):100 =

3400:100 = 34

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(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?

dmitriy555 [2]

Zeroes:

We must solve

$x^4-45x^2+324=0$

To do so, we define the auxiliary variable $t=x^2$ . The equation becomes

$t^2-45t+324=0$

The quadratic formula yields the solutions

$t=9,\quad t=36$

Substituting back $t=x^2$ gives

$x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6$

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

$f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x$

If we set the derivative to be zero, we have

$4x^3-90x=0 \iff x(4x^2-90)=0$

So, the derivative is zero if x=0 or

$4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}$

6 0

2 years ago

You are designing an aquarium that is to have a tank holding 225,000 gallons of water. The tank will be 100 feet long and 20 fee

ziro4ka [17]

So hmmm notice the picture below

thus $\bf \textit{volume of a rectangular prism}\\\\
V=lwh\qquad 
\begin{cases}
l=length\\
w=width\\
h=height\\
----------\\
l=100\\
w=20\\
V=225,000
\end{cases}\implies 225,000=(100)(20)h$

solve for "h"

5 0

2 years ago

Approximate the value of 5 π

olya-2409 [2.1K]

Answer with explanation:

→π is an Irrational Number.

→Decimal Representation of π is non terminating non repeating.

$\pi=\frac{\text{Circumference of Circle}}{\text{Diameter}}\\\\\pi =3.14\\\\ 5\pi =5 \times 3.14=15.70$

⇒5 π =15.70

8 0

2 years ago

Read 2 more answers

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP

Scorpion4ik [409]

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

7 0

2 years ago

What type of number is<br> -15/3

Oduvanchick [21]

Answer:

Rational

Step-by-step explanation:

Rational numbers can be reduced to a fraction

Irrational numbers cannot be reduced to a fraction

Whole numbers are positive numbers that are not decimal or fraction

Integers are all numbers that are not decimal or fraction

6 0

2 years ago