Answer:
16 animals
Step-by-step explanation:
It's a step by step approach.
Every monkey had one tortoise in hand.
There was 3 monkeys.
So 3 monkeys had one tortoise making it 3 tortoise.
Since the elephants are all going towards the same River it's definitely that the monkey they all saw is the same 3 set of monkeys.
Then a rabbit .
Total animal = 1 rabbit + 3 monkeys + 3 tortoise + 9 elephants
Total animal= 16 animals
Tasha used the pattern in the table to find the value of 4 Superscript negative 4.
Powers of 4
Value
4 squared
16
4 Superscript 1
4
4 Superscript 0
1
4 Superscript negative 1
One-fourth
4 Superscript negative 2
StartFraction 1 Over 16 EndFraction
She used these steps.
Step 1 Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2 Find the value of 4 Superscript negative 3.
4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction
Step 3 Find the value of 4 Superscript negative 4.
4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction
Step 4 Rewrite the value for 4 Superscript negative 4.
StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction
The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.
In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.
To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.
Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.
Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.
Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction
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Nemo can make a monthly payment of $565 for a car. If the annual interest rate he
qualifies for is 9% for 4 years, what price could he afford for the car?
Answer:$ 24,679.20 or 514.15 a month
Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20
Use the following functions to evaluate the composition of functions below
When we have two functions f(x) and g(x) the composition is just evaluating one function in the other one.
Here the solution is: k( l(2) ) = 5
We have the functions:
k(x) = 2*x + 3
l(x) = x - 1
We want to get the composition:
k( l(2))
Let's start with the general composition, and then evaluate it:
k( l(x) ) = 2*l(x) + 3 = 2*(x - 1) + 3
k( l(x) ) = 2*(x - 1) + 3
Now we need to evaluate it in x = 2, then we get:
k( l(2) ) = 2*(2 - 1) + 3 = 2 + 3 = 5
k( l(2) ) = 5
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Isaiah is starting his own gardening business. Isaiah thinks he can charge $15.50 per hour. If he knows he
will only be able to work 140 hours per month (that's 35 hours per week), how much money will he earn
each month?
Answer:
About $1627.5
Step-by-step explanation:
15.50 x 35 = 542.5
542.5 x 3 (the amount of weeks in a month) = $1627.5
HELPPP ME PLEASSSEE :(
I am pretty sure the answer is d.
Answer:definitely a trinomial expression.
Step-by-step explanation:
Since it has 3, it’s a trinomial.
Which point gives the vertex of f(x) = -x2 + 4x - 3?
A) (2,-1)
B) (2.1)
C) (2,-13)
D) (-2,-13)
Answer:
B
Step-by-step explanation:
There are several ways to find the vertex of function such as formula, completing the square or differential.
I will use the formula to find the vertex.
We are given the function:
\( \displaystyle \large{f(x) = - {x}^{2} + 4x - 3}\)
Vertex Formula
Let (h,k) = vertex
\( \displaystyle \large{ \begin{cases} h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} \end{cases}}\)
From the function, compare the coefficients:
\( \displaystyle \large{a {x}^{2} + bx + c = - {x}^{2} + 4x - 3}\)
a = -1b = 4c = -3Therefore:-
\( \displaystyle \large{ \begin{cases} h = - \frac{4}{2( - 1)} \\ k = \frac{4( - 1)( - 3)- {4}^{2} }{4( - 1)} \end{cases}}\)
Then evaluate for h-value and k-value.
\( \displaystyle \large{ \begin{cases} h = - \frac{4}{ - 2} \\ k = \frac{4( 3)- 16}{ - 4} \end{cases}} \\ \displaystyle \large{ \begin{cases} h = 2 \\ k = \frac{12 - 16}{ - 4} \end{cases}} \\ \displaystyle \large{ \begin{cases} h = 2 \\ k = \frac{ - 4}{ - 4} \end{cases}} \\ \displaystyle \large{ \begin{cases} h = 2\\ k = 1\end{cases}}\)
Therefore the vertex is (h,k) = (2,1)
Answer:
B (2.1)
Step-by-step explanation:
it was on a test i got it right
For Zendaya's lemonade recipe, 3 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
The unit rate of cups of lemonade per lemon is in the ratio of 6:1.
What is the unit rate?The unit rate is the ratio of two or more quantities or values that are compared to one another.
Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.
Zendaya's Lemonade Recipe:The number of lemons required to make 18 cups of lemonade = 3 lemons
Rate of lemonade per lemon = 18/3 = 6/1
Ratio = 6:1 or 1:6
Conversely, the rate of lemon per cup of lemonade = 1/6
Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.
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12a + 5c = 2550 method of elimination
Answer:
i like you
Step-by-step explanation:
Which set of coordinate pairs do NOT represent a linear function?
(-4, -12), (-3,-10), (-2, -8), (-1,-6)
O (-4, -17), (-3, -10), (-2,5), (-1,2)
O (1, -7), (2, -10), (3, -13), (4, -16)
O (1, 1), (2, 4), (3, 7), (4, 10)
Answer:
(-4, -17), (-3, -10), (-2,5), (-1,2)
Step-by-step explanation:
All the coordinates are represent linear function.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The coordinates are,
⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)
⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)
⇒ (1, -7), (2, -10), (3, -13), (4, -16)
⇒ (1, 1), (2, 4), (3, 7), (4, 10)
Now,
We know that;
A relation between a set of inputs having exactly one output each is called a linear function.
Clearly, All the coordinate have exactly one output for every input.
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The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70 - 5x .
What does the valu 70 represent?
A: the number of minutes it takes to sell all the tickets
B: the total number of tickets available
C: the number of people who bought tickets every minute
D: the number of people in line when the ticket booth opened
The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
What is the area of a triangle with a
base of 6m and a height of 7m
Answer:
It is 21
Step-by-step explanation:
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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Question 13Find three consecutive even integers such that the sum of twicethe smallest and three times the largest is 42.Question 14 Anthony has a total of $4.20 in nickels, dimes and quarters. If hehas 6 more dimes than nickels and three times as many quartersas nickels, how many of each kind of coin does he have?
Given data:
Let the three consecutive even inetgres are a-2, a, a+2.
the sum of the twice the smallest and three times the largest is 42.
2(a-2)+3(a+2)=42
2a-4+3a+6=42
5a+2=42
5a=40
a=8
Thus, the even integrers are 6, 8, 10
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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find the area of the circle which is circumscribed about the right triangle with legs 6 and 8
The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values:
\(c^2 = 6^2 + 8^2\)
\(c^2 = 36 + 64\\ c^2 = 100\)
Taking the square root of both sides:
\(c = \sqrt{100} \\ c = 10\)
Therefore, the length of the hypotenuse is 10 units.
Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.
Now we can calculate the area of the circle using the formula:
Area = π \(r^2\)
where r is the radius of the circle.
Area = π \(5^2\)
Area = π × 25
Area = 78.54 square units
Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
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The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
Trig math question help
Graph the data.
Find and interpret the slope of the line through the points.
Answer:
-see link below for graph
-slope- 6/270
Step-by-step explanation:
link in comments
Miguel found a coin in the cushions of his car and thought to himself, “What are the chances that, if I flip this coin twice, the same side will come face up both times?” Answer the following questions regarding this:Use a tree diagram to show the different possible outcomes if Miguel were to flip his coin twice.What is the probability that Miguel will get the same side of the coin to land face up if he flips it twice? How is that different from the probability that he will get two heads? Miguel calculated the probability and then decided to try it out. He did two flips 25 times and didn’t get the exact number of same side outcomes as his calculated probability predicted. Does that mean that he did his calculations incorrectly? How do you know? Fully explain your answer
We are given that a person tosses a coin twice. A tree of possible outcomes is the following:
Where "H" is head and "T" is tails.
The possible outcomes are then:
\(\begin{gathered} HH \\ HT \\ TH \\ TT \end{gathered}\)There are 4 possible outcomes.
Part 2. To determine the probability of getting two tails we notice that from the 4 possible outcomes 1 is TT, therefore, the probability is:
\(P(TT)=\frac{1}{4}\)The probability of getting two heads is determined also using the fact that from the 4 possible outcomes only one is HH, therefore:
\(P(TT)=\frac{1}{4}\)This means that the probabilities are the same.
The reason why he didn't get the exact number of times as predicted might be due to the fact there might be other variables affecting the outcome. Or that can be due to the fact that the number of tosses is not enough to see a tendency.
Blake was competing in a cooking competition and needed to add 34 cup of flour to a recipe. The only measuring cup he could find was 18 of a cup. Black would need to fill the measuring cup times
Answer:
twice
Step-by-step explanation:
The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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which graph shows a system of equations with infinitley many solutions
Answer:
where are the equation I don't see them
Please HELP ASAP
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on a certain object, the acceleration of the object is 5 /ms2. If the force is changed to 16 N, what will be the acceleration of the object? /ms2
Step-by-step explanation:
Since force doesn't depend on mass and varies directly, you can set up a proportion. group the F's together and the acceleration together, as so
\( \frac{20}{16} = \frac{5}{x} \)
Next, cross m multiply
\(20x = (16)(5)\)
\(20x = 80\)
Lastly, divide by 20
\(x = 4m {s}^{2} \)
The acceleration of the object when force is 16N is 4m/s².
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The force acting on the object varies directly with the object's acceleration.
Therefore, F ∝ a.
F = ka.
20 = 5k.
k = 4.
Now,
16 = 4a.
a = 4.
So, The acceleration is 4m/s²
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What is the perimeter of triangle ABC?
12 units
13 units
14 units
18 units
\
Step-by-step explanation:
Here
A(-2,6)B(1,2)C(-2,-2)Now,
\(\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}\)
\(\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}\)
\(\\ \tt\hookrightarrow AB=\sqrt{9+16}\)
\(\\ \tt\hookrightarrow AB=\sqrt{25}=5units\)
And,
\(\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}\)
\(\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}\)
\(\\ \tt\hookrightarrow BC=\sqrt{9+16}\)
\(\\ \tt\hookrightarrow BC=\sqrt{25}=5units\)
And
\(\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}\)
\(\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}\)
\(\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units\)
Now
\(\\ \tt\hookrightarrow perimeter=5+5+8=18units\)
Please please look at the picture and answer the question thank you for your help
Answer:
20 for both
Step-by-step explanation:
hope this helps
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
The statement of cash flows for Baldwin shows what happens in the cash account during the year. It can be seen as a summary of the sources and uses of cash. Pleas answer which of the following is true if Baldwin issues bonds
Tameka can make 32 beads with 4 sheets of paper. Right now she only has 3 sheets of paper. How many beads can Tameka make?
Answer:
24 beads
Step-by-step explanation:
beads in 4 sheet=32
beads in 1 sheet=32/4=8
beads in 3 sheet=8*3=24
Answer:
Assuming that you can make the same number of beads with 1 sheet of paper, Tameka can make 24 beads with 3 sheets of paper.