Determine the measure of ∠Z.
Question 5 options:

A)

41.76°

B)

13.29°

C)

87.71°

D)

48.24°

Answer:

32 to 40 minutes

Step-by-step explanation:

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

The standard exponential equation is given as y = ab^x

where;

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

Answer:

oh

Step-by-step explanation:

Answer:

y = 0.335x + 1.5

Step-by-step explanation:

First, find the slope using two of the given pairs, say, (0, 1.5) and (100, 36.5):

Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]

find the y-intercept (b):

y-intercept (b) is 1.5. At y = 1.5, the value of x is 0. Thus, the y-axis is intercepted by the line.

b = 1.5.

✔️Substitute m = 0.35 and b = 1.5 into y = mx + b.

y = 0.35x + 1.5

Answer:

a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.) -x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Step-by-step explanation:

As given A(2,1,3) and B(0,5,0)

a.)

We have to find C  in the xy-plane

⇒ C is of the form (x, y, 0)    ( Because in xy plane , z coordinate is zero)

Now, given AB and BC are the legs of the right triangle .

AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)

BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)

As AB and BC are legs of triangle

⇒AB is perpendicular to BC

⇒(AB).(BC) = 0

⇒( -2, 4, -3).( x, y-5, 0) = 0

⇒ -2x + 4(y-5) -0 = 0

⇒ -2x + 4y- 20 = 0

⇒ -x + 2y- 10 = 0

⇒ 2y = 10 + x

⇒ y = 5 + [tex]\frac{x}{2}[/tex]         ......(1)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AB = BC

⇒|AB| = |BC|

⇒|AB|² = |BC|²

⇒29 = (x)² + (y-5)²

⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²

⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²

⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²(  [tex]\frac{5}{4}[/tex] )

⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2

⇒ x = 4.82 , -4.82

⇒y = 7.41 , 2.59

so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.)

As given AB is the hypotenuse of the right triangle

S, AC and CB will perpendicular to each other

Now,

AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)

CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)

As, AC and CB is perpendicular

⇒(AC).(CB) = 0

⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0

⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0

⇒-x² + 2x + 5y - y² - 5 + y = 0

⇒-x² + 2x + 6y - y² - 5= 0    ..........(2)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AC = BC

⇒|AC| = |BC|

⇒|AC|² = |BC|²

⇒(x-2)² + (y-1)² + 9  = (x)² + (y-5)²

⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y

⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y

⇒14 - 4x - 2y  = 25 - 10y

⇒10y - 2y - 4x = 25 - 14

⇒8y - 4x = 11            ........(3)

Now, we have 2 equations

-x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Solve these equations to find x, y

answer:

78

-- please mark the brainliest and click the thanks button if correct :)

Answer:

$78

Step-by-step explanation:

13 * 6 is 78

I hope that helps broski

Answer:

True.

Step-by-step explanation:

The range of the 10  values is 10 - 3 = 7  so that is true.

The median will be the mean of the 2 middle values so that is possible also. The distribution could be, for example:

3 3 3 4 4 4 7 8 8 10  when the median = (4 + 4) / 2 = 4.

Answer:

True.

Step-by-step explanation:

the range of 10 values is 10-3 = 7 so that is true

Answer:

3 pieces

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

hhfndbdbdbueheheheheheheh

Answer:

The faster computer will complete the job in 20 minutes alone.

Step-by-step explanation:

Given that:

Time taken by both computers = 12 minutes

Time taken by slower computer = 30 minutes

Let,

x be the time taken by faster computer.

[tex]\frac{1}{x}+\frac{1}{30} = \frac{1}{12}[/tex]

[tex]\frac{1}{x} = \frac{1}{12}-\frac{1}{30}\\\\\frac{1}{x} = \frac{5-2}{60}\\\\\frac{1}{x} = \frac{3}{60}\\\\\frac{1}{x} = \frac{1}{20}\\\\x= 20[/tex]

Hence,

The faster computer will complete the job in 20 minutes alone.

Answer:

c

Step-by-step explanation:

Answer: a sample of size n chosen in such a way that every unit in the population has the same chance of being selected

Step-by-step explanation:

A simple random sampling technique represents the most basic Sample representation or selection method with very less bias and it makes affords all observations an equal chance or probability of being a part of the selected sample. Hence, samples selected using this technique are regarded as being representative of the population or larger sample from which the sample was drawn. This is because sampling bias in a simple random variable is extremely minimal.

Answer:

It's 7

Step-by-step explanation:

Answer:

[tex]x = \frac{5}{3}[/tex]

Step-by-step explanation:

The expression under the square root is [tex]\sqrt{4x^2 - 20x + 25}[/tex]

This is equivalent of [tex](2x-5)^2[/tex]

We can check this by using the formula
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

where [tex]\\a = 2x so a^2 = (2x)^2 = 4x^2\\\\b = -5 so b^2 = (-5)^2 = 25\\\\2ab = (2)(2x)(-5) = -20x\\[/tex]

So

[tex]\sqrt{4x^2 - 20x + 25} = \sqrt{(2x-5)^2}[/tex] which is [tex](2x-5)[/tex]

(The square root of the square of an expression is the expression itself)

So that gives us

[tex]2x - 5 = 5-2x\\[/tex]

Collecting like terms on each side gives us

[tex]2x + 2x = 5 -(-5)\\\\4x = 10\\\\x = 10/4 = 5/3[/tex]

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

The price will be $148. $185 - 20% =$148.

Answer:

Step-by-step explanation:

6.7 – (-2.5)

2.5+6.7

6.7 + (-2.5)

-2.5+6.7

6.7-2.5

neither

-2.5-6.7

2.5-6.7

-6.7+2.5

Answer: They have 775 miles left to be traveled

Step-by-step explanation:

Miles required to travel for vacation = 1,325 miles

Miles already traveled = Miles driven this week + miles driven today

= 420 miles + 130 miles

-=550 miles

Miles remaining to be covered =Miles required to travel for vacation --- Miles already traveled

= 1,325 miles - 550 miles

= 775 miles

Answer:

1762 is the answer

Step-by-step explanation:

Answer:

A: 8x-4

B: 16x-8

C: 1:2

Step-by-step explanation:

Answer:

35.1 and 276.48

Step-by-step explanation:

Answer:

The correct answer is: 1.0266 ×104

Step-by-step explanation:

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

Answer:

A

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

25 x 12

Answer:300

Step-by-step explanation: its just 25 x 12

Answer:true

Step-by-step explanation:

Answer:

the last answer choice is one of them for sure.

Step-by-step explanation:

Line A and F intersects line BC

Complete Question

The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given

by     [tex]-\frac{1}{4} t-2[/tex]

where t is measured in years, how many cats are projected to be in the group in 2020.

Answer:

The number of total cats left after 8 years T

[tex]T=76[/tex]

Step-by-step explanation:

From the question we are told that

Number of cats 2012 n=100

Number of years t=2012-2020=>8 years

Generally the equation of change in population is mathematically Given as

   [tex]\frac{dp}{dt}= -\frac{1}{4} t-2[/tex]

  [tex]\int dp=\int_0^8 (-\frac{1}{4} t-2)[/tex]

  [tex]p=\frac{-64}{8} -16[/tex]

   [tex]p=-24cats[/tex]

Therefore the number of total cats left after 8 years T is given as

[tex]T=100-24[/tex]

[tex]T=76[/tex]

Answer:

a

Step-by-step explanation: