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Answer:

x = 3 ± √5

Step-by-step explanation:

Given:

(x - 3)² = 5

Find:

Value of x

Computation:

(x - 3)² = 5

x² - 6x + 9 = 5

x² - 6x + 4 = 0

x = [-b ± √b² -4ac] / 2a

x = 3 ± √5

Answer:

jhfmgcmvmhvkufmhvmhfmbv!hvmhvmbvku

Step-by-step explanation:

hkuufkugkufx,469('%hhohk

oyraaxcn!lpouytewqafbm

Answer:

x = 4√3

Step-by-step explanation:

It's not letting me post, so refer to my explanation in the screenshot below:

Answer:

D) 180 inches²

SEE NOTE*

Step-by-step explanation:

Base = 10x10=100

Each triangle = 1/2x10x4=20

20x4=80

100+80=180

* This may be a trick question.  This pyramid CANNOT exist.  If the base is 10 inches, the height of the triangles cannot be 4 inches.  They must be more than 5.  

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

  = -16(t^2 - 3t -  4)

 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

The maximum height is 100 feet at a time of about 1.5 seconds.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

h = -16t² + vt + 64

-16t² + 48t + 64 = h

h is the height, v is the initial velocity and t is the time.

a) The tower height is about 64 feet from the equation

b) The time is at h = 0, hence:

-16t² + 48t + 64 = 0

t = 4 seconds

c) Maximum height is at h' = 0

h' = -32t + 48

-32t + 48 = 0

t = 1.5 seconds

d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet

Find out more on equation at: https://brainly.com/question/1214333

Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Given that

Total number of adults, U = 285

Number of plane travellers, P = 75

Number of train travellers, T = 55

To find the number of people that didn't travel by any means of transportation listed in the question, then we say

Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.

This means that number of people who didn't travel by any of the three means of transportation, N =

N = U - pt - b

N = 285 - 215 - 30

N = 40

Therefore, the total number needed is 40

Answer:

Step-by-step explanation:

4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16

16x-24x-4±12=4[4x-6x-1±3]

-8x-8=8[-1-1]

Answer:

n = 1.6

Step-by-step explanation:

(10n + 3) + 16 = 3

10n + 3 = -13

10n = -16

n = 16/10

n = 1.6

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{(10-12)}[/tex]

The simplified expression in the form 5^n is 5^−1×6.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Form=5 ^ n

Now,

To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)

Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25

Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5

Finally, we need to rewrite the fraction in the form of 5n

by using the property that a/b=a×b−1

So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6

Therefore, by the fraction the answer will be 5^−1×6.

Learn more about fraction;

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Answer:

-0.089

Step-by-step explanation:

Given that:

Males - Group 2:

Total number of males, n = 874

Number that said yes, = 396

P1 = 396 / 874 = 0.453

Females - Group 1 :

Total number of Females, n = 902

Number that said yes, = 489

P2 = 489 / 902 = 0.542

Point estimate of the difference in sample proportion:

P1 - P2

0.453 - 0.542

= −0.089

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

Answer:

The length of the missing side is 8.5 ft

Step-by-step explanation:

To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.

[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]

Rounding to the first decimal place, we get c = 8.5ft

Answer:

46

12+12=24

6+6=12

8+8=16

24+12+16:46

Answer:

37 degrees because of similarity

Step-by-step explanation:

Answer37\

Step-by-step explanation:

Answer:

(A) 0.2814

Step-by-step explanation:

you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.

Answer:

A) 0.2814

Step-by-step explanation:

edge 2023

Answer:

6400

Step-by-step explanation:

(8)(10)2

(80)2

6400

Answer:

160

Step-by-step explanation:

you replace x with 8 and replace y with 10

Whenever the numbers are close together such as "xy2" it mean you're multiplying

so whwn you multiply 8 * 10 * 2   you would get 160

Hoped this helped!

1) [tex]\sqrt{65}[/tex]

2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81

3) 8 because 65 is much closer to 64 than it is to 81

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first two questions are answered here

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

Answer:

Michelle is taller for her gender

Step-by-step explanation:

Answer:

1,390

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Let the time the second car races before catching the first car be x

The equation:

It takes 2 hours for the second car to catch the first car.

It takes 2 + 2 = 4 hours from the moment the first car started the race.

Answer:

x = [tex]\sqrt{99}[/tex]

Step-by-step explanation:

Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.

[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]

Therefor x = [tex]\sqrt{99}[/tex]