Answer: 20 oranges and 5 mangoes
Step-by-step explanation:
Define the following:
x = number of oranges
y = number of mangoes
Make the following system of equations:
x + y = 25
0.35x + 1.00y = 12.00
Solve for x:
y = 25 - x
⇒ 0.35x + 1.00(25 - x) = 12.00
⇒ 0.35x + 25 - x = 12.00
⇒ -0.65x = -13.00
⇒ x = 20
Solve for y:
20 + y = 25
y = 5
∴ 20 oranges and 5 mangoes were purchased.
Which of the scatter plots below shows the most accurate line of best fit?
PLS LOOK AT PICTURE AND HELP ME, IM BEING TIMED
Answer:
Z
Step-by-step explanation:
Please help with this question
Answer:
\(9\frac{6}{12}\)
Step-by-step explanation:
\(6\frac{2}{6} \cdot 1\frac{1}{2} = \frac{38}{6} \cdot \frac{3}{2} = \frac{114}{12}=9\frac{1}{2}\), which is also equal to \(9\frac{6}{12}\).
Need ANSWER ASAP
Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
Answer:
See explanation below.
Step-by-step explanation:
Given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Part (a)The parent function of the given function is: y = sin(x)
The five key points for graphing the parent function are:
3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)(See attachment 1)
Part (b)Standard form of a sine function:
\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)Therefore, for the given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1Part (c)See attachment 2.
the value v of your quarters [in cents] is a function of n, the number of quarters you have
Answer:
Step-by-step explanation:
V = n*25
V is the value of the quarters.
n is the number of quarters
and 25 is the value (in cents) of each quarter.
The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?
Answer:
25 ft tall
Step-by-step explanation:
divide 1250 by 50
i think its right lol.
Which is GREATER?
2^7 or 7^2
Answer:
\(2^7\)
Step-by-step explanation:
\(2^7=2\times 2\times 2\times 2\times 2\times 2\times 2=128\)
\(7^2=7\times 7=49\)
Since \(128>49, 2^7\ is\ greater\ than\ 7^2\)
Answer:
I'm pretty sure 7/2 is greater
Step-by-step explanation:
Its a improper fraction, therefore its bigger then a regular fraction.
I'm also a idiot
pls help ill give brainliest
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
mark the person above me as brainliest
Find the sum of the following finite geometric series.
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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K (Present value of annuities and complex cash flows) You are given three investment alternatives to analyze. The cash flows from these three investments are as follows: End of Year 1 2 3 4 5 6 78 A $11,000 11,000 11,000 11,000 11,000 Investment B $11,000 11,000 11,000 11,000 C $ 16,000 48,000 a. What is the present value of investment A at an annual discount rate of 21 percent? (Round to the nearest cent.) b. What is the present value of investment B at an annual discount rate of 21 percent? $ (Round to the nearest cent.) c. What is the present value of investment C at an annual discount rate of 21 percent? (Round to the nearest cent.)
a. To calculate the present value of investment A at a discount rate of 21 percent, we need to find the present value of each cash flow and then sum them up. The present value of each cash flow can be calculated using the formula PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
Using the given cash flows and the discount rate of 21 percent, we have:
PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4 + 11,000 / (1 + 0.21)^5 + 11,000 / (1 + 0.21)^6
Calculating this expression will give us the present value of investment A.
b. Similarly, to calculate the present value of investment B, we use the same formula and substitute the cash flows for investment B:
PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4
c. For investment C, we use the formula with the cash flows for investment C:
PV = 16,000 / (1 + 0.21)^1 + 48,000 / (1 + 0.21)^2
Calculating these expressions will give us the present values of investments B and C, respectively.
The present values of investments A, B, and C are $37,461.97, $29,930.99, and $48,003.16 respectively.
Explanation:To calculate the present value of the cash flows from every investment, we use the present value of annuity formula: PV = C * [(1 - (1 + r)^-n ) / r], where PV is the present value, C is the constant cash flow per period, r is the discount rate, and n is the number of periods.
(a) Investment A: C = $11,000, r = 21% or 0.21, n = 6 years. PV = $11,000 * [(1 - (1 + 0.21)^-6) / 0.21] = $37,461.97.
(b) Investment B: C = $11,000, r = 21% or 0.21, n = 4 years. PV = $11,000 * [(1 - (1 + 0.21)^-4) / 0.21] = $29,930.99.
(c) Investment C has 2 cash flows: $16,000 at end of year 1 and $48,000 at end of year 3. We calculate their present value separately and sum those up. PV = $16,000 / (1 + 0.21)^1 + $48,000 / (1 + 0.21)^3 = $13,223.14 + $34,780.02 = $48,003.16.
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. Tommy has 9 times as many sets of
cards as Eric. Eric has 3 sets of cards.
Write a multiplication equation that
represents the situation.
Answer:
3x9=27
Step-by-step explanation:
i don't know if this is what you meant
What are the zeros of the polynomial function F(x) = x³-x²-6x?
Answer: The zeros of the polynomial function F(x) = x³ - x² - 6x are 0, 2, and -3.
Step-by-step explanation:
The zeros of a polynomial function are the values of x that make the function equal to zero. To find the zeros of the function F(x) = x³ - x² - 6x, we can set the function equal to zero and solve for x:
x³ - x² - 6x = 0
One way to solve for x is to factor the polynomial:
x(x² - x - 6) = 0
This gives us three possible values for x: x = 0, x = 2, and x = -3. To verify that these are indeed the zeros of the function, we can substitute each value back into the original equation and see if it equals zero.
Therefore, the zeros of the polynomial function F(x) = x³ - x² - 6x are 0, 2, and -3.
Is y=(1/2)X a linear function
Answer:
linear
Step-by-step explanation:
have a good day God bless :)
Which rational number is equivalent to the expression 69 2/9 - 31 1/9 - (-12 4/9) ?
Answer:69 2/9 - 31 1/9 - (- 12 4/9) =
69 2/9 - 31 1/9 + 12 4/9 =
81 6/9 - 31 1/9 =
50 5/9 or 455/9 or 50.56 <==
Step-by-step explanation:
Answer:
50 5/9
Step-by-step explanation:
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
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the difference between twice Bill's age and Carolos' age is 26. The sum of Anna's age, three times Bill's age and Carolos's age is 92. The total of the three ages is 52.
1. write a system of 3 equations with 3 unknowns to represent this situation.
2.write a matrix equation to represent the system.
3.solve the matrix equation. Identify A^-1. No decimals
4.how old is each person?
Answer:
7 -3 1
3 2 1
| -6 -4 -
21
Which of the following describes the solution to the system of equations?
O
consistent
dependent
inconsistent
independent
:
Answer:
The difference between twice Bill's age and Carlos's age is 26. The sum of Anna's age, three times Bill's age, and Carlos's age is 92.
I’m too lazy to do it so if someone can do it it would mean a lot
Answer: I think it would 2/15 so C positive
Step-by-step explanation:
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
Select all of the following expressions that require
use of the distributive property to simplify.
√5(-√2)
√√5(√√7-√√2)
(√5 + √2)(-√7)
(3√5)(-7√2)
0 0 0
15.08
The options given are correct formulas and should use the distributive law √5(√7-√2) for simplicity.
(√5+√2)(-√7)
distribution characteristics
Given integers A, B, and C. According to the distributive law,
A(B + C) = AB + AC
From the formula we can see that A is distributed over B and C.
Therefore, the sum of the coefficients and terms must be in the parentheses of the distribution properties. Based on the options given, the correct formulas that should use the distribution characteristics for simplicity are √5(√7-√2) and
(√5+√2)(-√7)
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CORRECT ANSWER GETS BRAINLY PLEASE!!! For g(x)=x^2-x, find g(x) when x=-5
Must Show Work
g(-5)=?
Name a line segment parallel to DC.
A
B
D
С.
E
F
H
G
Answer:
line segment HG
line segment EF
line segment AB
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation:
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
<95141404393>
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Determine the parent function
Y=x3. Y=^x. Y=1/x
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
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Please help
find All disuntiniteas
Log x + 4x³
——————
X
I believe the expression you provided is:
(log(x) + 4x^3) / x
To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.
There are two types of discontinuities to look for:
Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.
Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.
To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.
So we solve the equation:
x = 0
This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.
Therefore, the only discontinuity of the expression is at x = 0.
Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.
10 less than a number n is 30
Answer:
n = 40
Step-by-step explanation:
n - 10 = 30
n = 10 + 30
n = 40
HOpe that helps!
If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
IGNOR MY ANSWER I ALSO NEED TO KNOW IF IT'S OPEND OR CLOSED Graph the solution to this inequality on the number line.
−4m+3>11