Number of camels are there at the safari park are 6 unit.
The animals at a safari park include camels, kangaroos and meerkats.
Let kangaroos are represented as K and Camels are represented as C and Meerkats are represented as M.
There are 12 more kangaroos than there are camels which means
K = C + 12.
There are 3 times as many meerkats as there are camels which means
M = 3C.
There are the same number of kangaroos as there are meerkats which means
K = M
If K = M
therefore,
3C = C + 12
2C = 12 ,
C = 6 unit.
So, K = 6 + 12 = 18
Or M = 18
Therefore number of camels, kangaroos and meerkats at the safari park are 6 , 18 and 18 respectively.
Number of camels are there at the safari park are 6 unit.
To know more about number of camels here.
https://brainly.com/question/28637146
#SPJ1
Determine the center and radius of the circle with equation (x+3)² + (y − 2)² = 16
Answer: Center: (-3, 2). Radius: 4.
Step-by-step explanation:
The x-coordinate of the center of the circle is given by the constant within the parenthesis with variable x. Whatever number makes the equation x + 3 = 0 is the x-coordinate of the center of the circle, which in this case is -3.
The y-coordinate of the center of the circle is given by the constant within the parenthesis with variable y. Whatever number makes the equation y - 2 = 0 is the y-coordinate of the center of the circle, which in this case is -2.
The radius of the circle is the square root of the constant on the other side of the equation. So, r = [tex]\sqrt{16}[/tex] = 4.
The explanation is from the equation of a circle in a graph:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
h and k in this equation stand for the coordinates of the center of the circle, with h being the x-coordinate and k being the y-coordinate. IN your equation, we have:
[tex](x+3)^2 + (y-2)^2 =16[/tex]
Which can also be written as
[tex](x-(-3))^2 + (y-(2))^2=16[/tex]
See the correlation of numbers -3 and 2 with h and k?
Notice also how the equation contains [tex]r^2[/tex], so to find the radius you do [tex]\sqrt{r^2}[/tex].
PLEASE HELP Use the substitution method to solve the sysytem of linear equations. Enter your answer as an ordered pair. There are four different question with these equations
1. Y=2x+5 X=1
2. Y=2x+1 Y=6x-1
3. Y=2(x-7) X+y=4
4. 3x-y=6 X+3y=12
The solutions to these system of equations are given as follows:
1. x = 1, y = 7.
2. x = 0.5, y = 2.
3. x = 6, y = -2.
4. x = 3, y = 3.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of a problem.
For item 1, it is already stated that the solution for x is x = 1, hence the solution for y is obtained as follows:
y = 2(1) + 5 = 7.
For item 2, we are given two equations for y, hence the solution for x is obtained as follows:
2x + 1 = 6x - 1
4x = 2
x = 2/4
x = 0.5.
Hence the solution for y is:
y = 2(0.5) + 1 = 1 + 1 = 2.
For item 3, from the second equation, we have that:
y = 4 - x.
Then the solution for x will be of:
2(x - 7) = 4 - x
2x - 14 = 4 - x
3x = 18
x = 18/3
x = 6.
The solution for y is:
y = 4 - 6 = -2.
For item 4, from the first equation, we have that:
y = 3x - 6.
Then, replacing on the second equation, the solution for x is obtained as follows:
x + 3(3x - 6) = 12
x + 9x - 18 = 12
10x = 30
x = 3.
Then the solution for y is:
y = 3x - 6 = 3(3) - 6 = 9 - 6 = 3.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Use graphing to find the solutions to the system of equations.
- x² + y = 1
-x + y = 2
The solution to the equation using graph is x= -0.62 or x = 1.62.
What is equation?
A mathematical equation may be a formula that uses the equals sign to represent the equality of two expressions.
Main Body:
For [tex]-x^{2} +y = 1[/tex]
We make y the subject to obtain
[tex]y = x^{2} +1[/tex]
We can easily graph this function, because we just have to transform the graph [tex]y = x^{2}[/tex] of by shifting the intercept up to 1.
As for the straight line, -x +y = 2
We find the intercepts as follows,
When y = 0 , x = -2
When x = 0 , y = 2
We plot the points (-2,0) and (0,2).
We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be
x= -0.62 or x= 1.62
See graph
To know more about equation click on the link below
https://brainly.com/question/22688504
#SPJ1
Question 14 (2 points)
Complete the general form of the equation of a sinusoidal function having an
amplitude of 8, a period of 27, and a phase shift to the left 4 units.
The complete general form of the equation of the given sinusoidal function is y = 8sin[(27/2π)*(x - 4)] + c.
The general form of an equation for a sinusoidal function is presented below.
y = a×sin[b*(x - h)] + c
The variable "a" denotes the amplitude of the equation. The variable "T" represents the time period of the equation, and T = 2π/b. The variable "h" denotes the phase shift of the equation. The variable "c" denotes the vertical shift of the equation. The amplitude, period, and phase shift are 8, 27, and 4 units to the left, respectively. The general form of the equation of a sinusoidal function can be written as given below.
y = a×sin[b*(x - h)] + c
y = 8sin[(27/2π)*(x - 4)] + c
To learn more about equations, visit :
https://brainly.com/question/10413253
#SPJ1
Complete: (Round your answers to the nearest cent.) picture Method Purchased Cost Recovery Class Recovery Year Cost Recovery MACRS July 20 $ 5,000 7 6 A MACRS Nov. 5 $ 11,000 20 13 B
The completion of the MACRS annual cost recovery on a straight-line basis is as follows:
Method Purchased Cost Recovery Recovery Cost
Class Year Recovery
MACRS July 20 $ 5,000 7 6 A = $833.33
MACRS Nov. 5 $ 11,000 20 13 B = $846.15
What is the MACRS straight-line method?Ordinarily, the MACRS (modified accelerated cost recovery system) depreciation method is the tax-allowed method that ensures that larger deductions for depreciation expense or cost recovery are made in the beginning years and lower deductions for later years.
However, the same deductions are made each year when the straight-line method is used.
The depreciation expense using the MACRS straight-line method is computed by dividing the asset's cost by the recovery year.
Method Purchased Cost Recovery Recovery Cost
Class Year Recovery
MACRS July 20 $ 5,000 7 6 A = $833.33 ($5,000/6)
MACRS Nov. 5 $ 11,000 20 13 B = $846.15 ($11,000/13)
Learn more about the MACRS straight-line method at https://brainly.com/question/28121855
#SPJ1
Witch expression is equivalent to 10q + 5
Answer:
5q + 5q + 5 is equivalent to 10q + 5
Answer:
A.
Step-by-step explanation:
What is/are the effects when you perform the following transformations on your figure?
a. Reflections –
b. Translations –
c. Rotations –
d. Dilations –
Answer:
A. REFLECTION
Please guys do some research i know you're not that stu p id-_-
Please help 18points
4. The distance needed to stop a car varies directly as the square of its speed. It
requires 120 m to stop a car at 70 km/h. What distance is required to stop a car
at 80 km/h?
Answer:
156.7 m (nearest tenth)
Step-by-step explanation:
Define the variables:
Let d = distance in meters.Let v = speed in kilometers per hour.If the distance needed to stop a car varies directly as the square of its speed:
[tex]\boxed{d \propto v^2 \implies d=kv^2}[/tex]
where k is the constant of proportionality.
Given:
d = 120 mv = 70 km/hTo find the constant of proportionality, k, substitute the given values into the equation:
[tex]\begin{aligned}\implies 120&=k(70)^2\\k&=\dfrac{120}{70^2}\\k&=\dfrac{6}{245}\end{aligned}[/tex]
Substitute the found value of k back into the formula to create an equation for the given relationship:
[tex]\implies d=\dfrac{6v^2}{245}[/tex]
To find the distance (in meters) required to stop a car at 80 km/h, substitute v = 80 into the equation:
[tex]\implies d=\dfrac{6(80)^2}{245}[/tex]
[tex]\implies d=\dfrac{6\cdot 6400}{245}[/tex]
[tex]\implies d=\dfrac{7680}{49}[/tex]
[tex]\implies d=156.73469...\; \sf m[/tex]
[tex]\implies d=156.7\; \sf m\; (nearest \;tenth)[/tex]
Therefore, the distance required to stop a car at 80 km/h is:
156.7 m (2 d.p.).Which symbol replaces the box to make the statement true? 18÷6+3□6+12÷3 Responses > greater than < less than =
The correct expression of the inequality expression is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3
How to complete the inequality expression?From the question, the expression is given as
18 ÷ 6 + 3 □ 6 + 12 ÷ 3
We start by converting the above expression to the same form
So, we start by solving the quotients
This gives
3 + 3 □ 6 + 4
Next, we evaluate the sum
So, we have
6 □ 10
In the above expression, we have
6 and 10
By convention, the number 6 is less than the number 10
This is so because 6 has a smaller value and 10 has a higher value
When the above numbers are compared, we have
6 is less than 10
This means that we make use of the inequality symbol <
So, we have
18 ÷ 6 + 3 < 6 + 12 ÷ 3
Hence, the complete inequality is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3
Read more about inequality at
brainly.com/question/25275758
#SPJ1
Rohan bought some tiles for a kitchen floor. 3/5 of the tiles were white, 1/4 of the
remainder were yellow, and the rest were blue. There were 60 more white
tiles than blue tiles. Each tile cost $3. What was the total cost of the tiles?
The cost the tiles are = $182.55
what is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
white tiles =W = 1/4
3/5 = yellow
each tile costs= $3
= 0.25+ 0.6+ 60
= 60.85*3
$182.55
hence,The cost the tiles are = $182.55
learn more about unitary method click here:
https://brainly.com/question/24587372
#SPJ13
There are 7 new books and 5 used books on a shelf.
(a) What is the ratio of new books to all books on the shelf?
0
(b) What is the ratio of used books to all books on the shelf?
0
Answer:
7 * 5 =35 because if you say 5 10 15 20 25 30 35 then that's your answer
Answer:
a) 7:13 b) 5:13
Step-by-step explanation:
There are 7 new books (-> 7:--) theres 5 used books, add the 7 new books and 5 used books together. it said "The ratio for new books to all books?" it must be in that order. with leads you to 7:13
do the same thing for b) using the same steps.
How will this pie graph change if
temperatures on Earth continue to increase?
If the temperatures on Earth continue to increase, the change in the pie graph would be C. Less than 2% of the Earth's water will be in polar ice caps.
How are polar ice caps affected by Earth's temperature?The temperature of Earth has risen significantly in the last century as a result of human activity. This had led to the loss of polar ice caps due to them having melted into the oceans from the high temperatures.
This means that if the temperature of the planet should continue to increase, the polar ice caps we have will further be depleted. This would lead to less than 2% of the Earth comprising polar ice caps as is the case now.
Find out more on Earth's temperature increasing at https://brainly.com/question/1498520
#SPJ1
.
Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50- mg sample to decay to a mass of 32 mg?
The time taken is obtained as 3 years.
What is the time taken?We know that radioactivity has to do with the fact that a substances does disintegrate gradually over a period of time.
Let us recall the formula;
N/No = (1/2)^t/t1/2
N = The mass of radioactive atoms at time t
No = The mass of radioactive atoms initially present
t = time taken
t/12 = half life of the radioactive nucleus
Then;
32/50 = (1/2)^t/28
0.64 = (1/2)^t/28
log 0.64 = t/28 log0.5
t/28 = log(0.64/0.5)
t = 28 * log(0.64/0.5)
t = 3 years
Learn more about half life:https://brainly.com/question/24710827
#SPJ1
GCF ( 160, 320, 480)
The greatest common factor of 160, 320 and 480 will be 160.
What is the Greatest Common Factor?The largest positive number that can be evenly divided into the supplied numbers is the most common factor. The largest number that evenly divides all the specified numbers is the greatest common factor.
In maths, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two numbers x and y is represented by the symbol GCD(x,y)
Assumed to be 160, 320 and 480. The numbers are factored to determine the largest common factor.
Factorize number 160
160 = 2×2×2×2×2×5
Factorize number 320
320 = 2×2×2×2×2×2×5
Factorize number 480
480 = 2×2×2×2×2×3×5
The common number between all three numbers is 2⁵×5. Therefore, the greatest common factor of 160, 320 and 480 will be 160.
To know more about 'greatest common factor' related questions
visit- https://brainly.com/question/19682313
#SPJ9
7. At time t seconds, the height, h, of a ball thrown vertically upward is modeled by the equation h = -5t² +33t+ 4. About how long will it take for the ball to hit the ground?
The ball thrown vertically upward, the ball hits the ground after 6.719 seconds.
Quadratic equation :
An algebraic equation of the second degree in x is a quadratic equation.its standard form is ax2 + bx + c = 0where a and b are the coefficients, x is the variable, and c is the constant term.To solve the quadratic equation:
h(t) = 0 = -5t² +33t+ 4
[tex]t = \frac{-b \pm\sqrt{(b)^2 - 4ac}}{2a}[/tex]
[tex]t = \frac{-33 \pm\sqrt{(33)^2 - 4(-5)(4)}}{2(-5)}[/tex]
t = {(-33) ±√(1169)}/(-10)
t = -0.1190
t = 6.719
neglecting the negative term we get :
t = 6.719 seconds
This represents that the ball hits the ground after 6.719 seconds.
The ball thrown vertically upward, the ball hits the ground after 6.719 seconds.
To learn more about quadratic equations:
brainly.com/question/1214333
#SPJ1
use f(x)=|x|
f(x) is shifted down 4 and right 3 to create h(x)
which answer shows the correct function for h(x)
Answer:
h(x)= |x-3|-4
Step-by-step explanation:
If f(x) = |x| is shifted down 4 and right 3 to create h(x), then h(x) = |x - 3| - 4
The function is given
f(x) = |x|
Translation of the shape mean the displacement of the shape from one place to another place. Some usually used displacements are shifted to right / left and shifted to up / down etc.
First f(x) is shifted down 4
Then the function will become
f(x) = |x| - 4
Then the function shifted right 3
Then the function will be
h(x) = |x - 3| - 4
Hence, if f(x) = |x| is shifted down 4 and right 3 to create h(x), then h(x) = |x - 3| - 4
Learn more about translation here
brainly.com/question/11805053
#SPJ1
in each of the following lines, underline the smallest number and put a ring round the largest number
15/3, 12/6, 27/9, 8/2, 10/10
Answer:
this is how to do it. Now find the answer
Step-by-step explanation:
find the common factor for the denominators, which is 30.
then × the numerator by however much you ×tl the denominator by to get 30
Calculating Loan Risk
Cass is reviewing historical data about loans the financial institution gave out to see how credit score was linked to defaulting. In the past, the financial institution gave loans only to those with a credit score of 501 or above.
Answer:
Loan analysis is an evaluation method that determines if loans are made on feasible terms and if potential borrowers can and are willing to pay back the loan. It checks the eligibility of the potential borrower against the criteria set forth for lending. Loan analysis helps in assessing the skills and financial knowledge of the borrower to ...
CLASSIFYING A FUNCTION. Is the function represented by the ordered pairs linear or nonlinear? Explain your reasoning.
52 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 52, slightly less than
52, slightly greater than 52, or a lot greater than 52? Explain.
Answer:
a lot less because 0.4 is not fully of 100%
Step-by-step explanation:
Answer:
52 is 0.4% of 130. You would expect the number to be a lot greater than 52
Step-by-step explanation:
If the number we are trying to find is x, we have to use the equation x*0.4=52 which can be rewritten as 52/0.4=x
If you solve that, you get 130.
The number is expected to be a lot greater than 52 because 0.4 is almost 0.5 and that would mean doubling 52 so the number would be almost double 52. That means it would be a lot greater.
Please help me w this hehehehehh
Answer:
-25x-45y, because if we have got + and -, so we will write minus.
George invest $500 in his friend's startup company. his friend agrees to give him 8% of the original investment each year for the next 3 years. write a linear function for this situation.
The linear function for the situation is :-
Amount at the end of 3 years = Original investment + original investment*Rate*Time/100
It is given in the question that:-
Investment of George's friend in startup company = $ 500.
Interest percent = 8 %
Time period of investment = 3 years
We have to find the linear function for this situation.
As this interest is on original investment, the interest will be simple.
Hence,
The linear function for the situation will be :-
Amount at the end of 3 years= Original investment + original investment*Rate*Time/100
Amount at the end of 3 years = 500 + 500*8*3/100 = 500 + 120 = $ 620
To learn more about Amount, here:-
https://brainly.com/question/8082054
#SPJ1
Help!
WILL MARK BRAINLYIST!
Graph the function f(x) = [x + 3]
over the interval -2 ≤ x ≤ 2
Answer:
The graph of a function f is the set of points which satisfy the equation y = f(x). ... However, of these two answers, only x = −2 fits in the domain.
Step-by-step explanation:
What is the sum of −12, 5, and −10?
(A) −27
(B) −17
(C) 17
(D) 27
Find the ratio of 1.94 million to 2.16 million
Answer:
0.97m : 1.08m
Step-by-step explanation:
mark me on brainliest please follow me to
6(x-6)+2=8x-12 what does x=??
Answer:
-11
Step-by-step explanation:
6(x-6)+2=8x-12
6x-36+2=8x-12 First take care of the parenthesis
6x-34=8x-12 then combine numbers
-2x-34=-12 Subtract 8 from both sides
-2x=22 Add 34 to both sides
x= -11 Divide by -2 on both sides
Answer:
Step-by-step explanation:
Solution
Steps
6(x−6) +2 = 8x−12
Expand by applying the distributive law: a(b−c)=ab−ac
6(x−6)=6x-36
6x−36+2 = 8x−12
6x−34 = 8x−12
Add 34 to both sides
6x−34+34=8x−12+34
Simplify
6x=8x+22
Subtract 8x from both sides
6x−8x=8x+22−8x
Simplify
−2x=22
Divide both sides by −2
x=−11
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-5, 3). What is the vertex of the function defined as g(x) = f(x) + 2?
Answer:
Submit Answer
Vertex of g(x) is: (-2, -4)
What is vertex?An element of a line is a line segment. A line segment that can be extended endlessly is known as a ray.An angle is created when two line segments or rays cross one another. A vertex is created by definition whenever two lines come together to produce an angle. Thus, we can state that a vertex is formed when two line segments or rays intersect.acc to our question:
Vertex form of a quadratic function:
f(x) = (x - h)² + k
We have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4
The function g(x) is: g(x) = f(x + 5) =
(x + 5 - 3)² - 4 = (x + 2)² - 4Vertex of g(x) is:(-2, -4)
learn more about vertex click here:
https://brainly.com/question/21191648
#SPJ13
Add the 2 polynomials:
(-77x²¹ +
2
·x² + x
3
+[52*+
1
-
Answer:
Step-by-step explanation:
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $145.00 for admission
plus $5.00 every trip for parking. Plan 2 charges a one-time fee of $40.00 for parking plus $12.00 every trip for
admission. For what number of trips is the cost of these plans the same?
The number of trips after the cost of the plan A and plan B is 16.
According to the question,
We have the following information:
Plan 1 charges a one-time fee of $145.00 for admission plus $5.00 every trip for parking. Plan 2 charges a one-time fee of $40.00 for parking plus $12.00 every trip for admission.
So, this will make an arithmetic progression.
The formula to find nth term of an A.P:
an = a+(n-1)d where a is the first term
Now, on left hand side, we have nth term for plan A and on the right hand side, we have the nth term for plan B because their nth term will be equal.
145+(n-1)5 = 40+(n-1)12
145+5n-5 = 40+12n-12
5n+140 = 12n+28
140-28 = 12n-5n
7n = 112
n = 112/7
n = 16
Hence, the number of trips after the cost of the plan A and plan B is 16.
To know more about cost of the plan here
https://brainly.com/question/3931843
#SPJ1