The point EEE represent option b is correct: Marcelina spends the intended amount of money but she bought more than she did intended amount of corn.
What is the case about?She buy 50kg of corn in total
White corn costs = $0.30 per kilogram,
Yellow corn costs = $0.15 per kilogram,
She wants to spend $12 total.
So the equation will be:
C= (20, 50) = 20 white, 50 yellow
But 30 while and 20 yellow is needed.
Since C = 20 +50
= 70 corns
While: 30 + 20
= 50 corns.
This therefore tells that Marcelina spends the intended amount of money but she bought more than she did intended amount of corn and therefore, option b is correct.
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Answer:
Marcelina spends less than the intended amount of money and buys less than enough corn.
Step-by-step explanation:
The equation of line
Khan
Use the function below to find F(4)
Answer:
A 256/3
Step-by-step explanation:
1/3 * 4^4 =
1/3 * (4*4*4*4) =
1/3 * 256 = 256/3
Answer:
A = 256/3
Step-by-step explanation:
F(x) = 1/3 × 4ˣ = 4ˣ/3
F(4) = 4⁴/3 = 256/3
If one angle is 8 less than four times th of its complementary angle find both angle
Answer:
Let the angle be x
∘
. Then it's complement = (4x)
∘
.
We know that if the sum of two angles is equal to 90
∘
then the angles are said to be complementary.
Step-by-step explanation:
4x+x=90°
5x=90°
x=90°/5
x=18
4×18=72°
This is the complete solution!
(ﾉ◕ヮ◕)ﾉ*.✧STAY CONNECTED ❣️
A ruler measures length to the nearest 0.25 inches. Which is the most
appropriate way to report length using this ruler?
Answer: 14.25
Step-by-step explanation:
Because 14 and 10 inches don't indicate that the ruler can measure to the nearest 0.25 inches. They indicate that the ruler can measure to the nearest inch.
14.2598 inches cannot be measured with this ruler.
That leaves 14.25.
Hope this helped.
Describe the relationship between the temperature and the coffee sales.
The relationship between temperature and the coffee sales is a negative exponential of temperature
relation is subject of order between to sets or how the connected to each other.
The temperature of liquid is essential in the process of brewing because its affects the rate of evaporation or extraction. it refers to the test and matters that are dissolved from the coffee beans. The hot is the water, the quick it is to extract. At a high temperature, it’s tougher to control the rate of extraction. This can lead to over-evaporation of liquid, making your coffee taste too bitter since the heat strips away a lot of oxygen.
since the temperature varies over the year, which implies the taste of coffee also vary in a manner that in cold days people love coffees and in hotter days the people love to drink cold drinks instead of coffees
so in cold days the sales of coffees is grater in comparison with hot days
Thus the relationship between the sales of coffees and temperature is negative exponential of temperature.
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G(X) IS A TRANSFORMATION OF F(X) WHAT IS G(X) IN TERMS OF F(X)
This is a very simple transformation problem and can be solved by observation. The correct answer is Option D where g(x) = f(x-3) + 6. See the attached graph for the full question.
What is a transformation?
In mathematics, transformation is the process of converting one figure, expression, or function into another of equivalent value.
What is the explanation for the above problem?Note that on an x-axis, moving past zero to the left gets you into the negative, and vice versa.
On the y-axis moving upwards past zero gets you into the positive.
Recall that g(x) is a transformation of f(x). This means that the original image is f(x).
Notice that F(x) is transformed three degree beyond 0 on the -axis and 6 degrees beyond zero on the y-axis. Hence the correct equation is:
g(x) = f(x-3) + 6.
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Gabrielle is 15years older than mik. The sum of their ages is 103.what is mik age?
Answer:
Mikhail is 44 years old.
Step-by-step explanation:
Set both Gabrielle and Mikhail's age to a variable.
Gabrielle is x, Mikhail is also x.
Now create an equation using the variables with the sum.
Age1 + Age2 + 15 = 103
x + x + 15 = 103
Now we solve.
1. Combine like terms
2x + 15 = 103
2. Make all the numbers on one side of the equation, and the variables of the other, so subtract.
2x + 15 - 15 = 103 - 15
2x = 88
3. Simplify further by dividing.
x = 44
Mikhail is 44 years old.
Check your work:
44 + (x + 15) = 103
x + 15 = 59
x = 44
Answer:
Step-by-step explanation:
Let Gabrielle's age be x.
The age of the milk will be x - 15.
x + (x - 15) = 103.
2x - 15 = 103
2x = 118
x = 59
The milk's age = x - 15 = 59 - 15 = 44.
help me please i need help
Answer:
B
Step-by-step explanation:
[tex](f-g)(x)=4x^2+5x-3-(4x^3-3x^2+5)\\\\=-4x^3+7x^2+5x-8[/tex]
Hence B is correct.
Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test drug. 8 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that exactly 6 patients will die? Express your answer as a fraction or a decimal number rounded to four decimal places.
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The values of the parameters for this problem are:
N = 25, k = 6, n = 8.
The probability that exactly 6 patients will die is P(X = 6), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002[/tex]
0.0002 = 0.02% probability that exactly 6 patients will die.
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A normal population has a mean of 20.0 and a standard deviation of 4.0.
a. Compute the z value associated with 25.0.
b. What proportion of the population is between 20.0 and 25.0?
c. What proportion of the population is less than 18.0?
Calculations:
Normal pop has mean of 20.0
standard deviation = 4.0
XNN(20.0, 4.0)
a).
[tex]z=\frac{x-h}{z}[/tex]
[tex]=\frac{25-20}{4.0} =\frac{5}{4} =1.25[/tex]
Z = 1.25
b).
The proportion between 20 and 25 is P(20 <x<25.0)
[tex]=p(\frac{20-20}{4} < z < \frac{25-0}{4} )[/tex]
[tex]=P(0 < z < 1.25)[/tex]
[tex]=P(Z < 1.25)-P(z < 0)[/tex]
[tex]=0.8944-0.5000[/tex]
P(20 < x < 25)=0.3944
c).
The proportion value is less than 18 when
[tex]P(x < 18)=p(\frac{x--4}{6} < \frac{18-20}{4}[/tex]
[tex]=P(z < \frac{-2}{4})[/tex]
[tex]=P(z < -0.5)[/tex]
P(x<18) = 0.3085
Cube A and cube B are similar solids. The volume of cube A is 27 cubic inches, and the volume of cube B is 125 cubic inches. How many times larger is the base area of cube B than the base area of cube A? A small cube labeled cube A has points K, L, M, and N on the top face and O, P, Q, and R on the bottom face. A large cube labeled cube B has points A, B, C, and D on the top face and E, F, G, and H on the bottom face. A. B. C. D.
The area of the base of cube B is 25/9 times larger than the area of the base of cube A.
How many times larger is the base area of cube B than the base area of cube A?Because the cubes are similar, then we know that the dimensions of cube B are a dilation of scale factor K of the dimensions of cube A.
Then, the volume of cube B is K³ times the volume of cube A.
The area of any face of cube B is K² times the area of any face of cube A
From this we can write:
125 in³ = K³*27in³
(125/27) = K³
If we apply the cubic root in both sides, we get:
∛(125/27) = K = 5/3
Then the relation between the areas is equal to:
K² = (5/3)^2 = 25/9
The area of the base of cube B is 25/9 times larger than the area of the base of cube A.
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Answer:
25/9
Step-by-step explanation:
I Just Took the Test.
Express the number as a ratio of integers.
0.16 = 0.16161616...
0.16 = 0.16161616... as a ratio of integers is 16 : 99
How to express as a ratio?The equation is given as:
0.16 = 0.16161616...
The above is a non-terminating decimal.
It can be represented as:
a/b - 1
Where
a = 16
b = 100
So, we have:
16/100 - 1
Evaluate the difference
16/99
Express as ratio
16 : 99
Hence, 0.16 = 0.16161616... as a ratio of integers is 16 : 99
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Suppose that electricity for the Lopez family toaster cost Ghc8.00 per hour. How much money will the Lopez family pay per year if they use the toaster 3 hours per week
5 coins worth 17 cents
Answer:
3 nikels and 2 cents
Step-by-step explanation:
1 niquel = 5 cents
5+5+5= 15
15+ 2= 17
From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of the area of the circle to the original square?
Answer:
[tex]\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}[/tex]
Step-by-step explanation:
The width of a square is its side length.
The width of a circle is its diameter.
Therefore, the largest possible circle that can be cut out from a square is a circle whose diameter is equal in length to the side length of the square.
Formulas
[tex]\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}[/tex]
[tex]\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}[/tex]
If the diameter is equal to the side length of the square, then:
[tex]\implies \sf r=\dfrac{1}{2}s[/tex]
Therefore:
[tex]\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}[/tex]
So the ratio of the area of the circle to the original square is:
[tex]\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}[/tex]
Given:
side length (s) = 6 inradius (r) = 6 ÷ 2 = 3 in[tex]\implies \sf \textsf{Area of square}=6^2=36\:in^2[/tex]
[tex]\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)[/tex]
Ratio of circle to square:
[tex]\implies \dfrac{28}{36}=\dfrac{7}{9}[/tex]
The altitude of an airplane is decreasing at a rate of 42 feet per second. What is the change in altitude of the airplane over a period of 22 seconds?
A.
924 feet
B.
-64 feet
C.
64 feet
D.
-924 feet
Answer:
D. -924 feet
Step-by-step explanation:
Necessary formulaFor this problem, we'll need the relationship [tex]d=vt[/tex] where "d" is the distance traveled, "v" is the velocity the object is traveling, and "t" is the amount of time that it traveled.
Velocity VectorsVelocity is a "vector" quantity, which has both a magnitude and a direction. The magnitude is the speed (42 feet per second) and the direction is downward. Collectively, the velocity is -42 feet per second. This will address the change in altitude and signify that the change in altitude is downward.
UnitsAll quantities should be using units that match.
In this case, the distances provided in the answers are all measured in feet, and the speeds are measured in feet per second, so the feet match.
Also, the times are measured in seconds, and the speeds are measured in feet per second, those also match.
Substitution & solve[tex]d=vt[/tex]
[tex]d=(\frac{-42\text{ feet}}{\text{second}})(22\text{ seconds})[/tex]
[tex]d=-924 \text{ feet}[/tex]
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)?
The type of transformation that preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x) is vertical translation.
What is vertical translation?Vertical translation of a graph is done by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.
The vertical translation is the movement of the curve along the y-axis by a certain number of units without altering the function's shape or domain.
The function's form is preserved in the case of vertical translation.
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Find the measure of an interior angle of a regular nonagon (9-sided polygon).
Hint: (n-2)180
x=[?] degrees
The measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
How to determine the angle
The formula for sum of interior angles of a polygon is given as;
= ( n -2) × 180
Recall that a nonagon has nine sides, so , n = 9
Substitute the value into the formula
= ( 9 -2) × 180
= 7× 180
= 1260°
Since the sum of the angles = 1260°
One of the angles = 1260/ 9 = 140°
Therefore, the measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
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The expression √5x is equivalent to the expression x√5.
O A. True
OB. False
Answer: False
Step-by-step explanation:
[tex]\sqrt{5x}=\sqrt{x} \sqrt{5} \neq x\sqrt{5}[/tex]
A couple decides that sophia will drive the first 3/5 of a trip and toby the last 2/5. the entire trip is 500 miles long. how far will sophia drive?
The miles Sophia drove is 60 miles
The distance Sophia drove is represented in fractions.
What is a Fraction?A number is expressed as a quotient where a numerator is divided by a denominator. In a simple fraction, both are integers.
A fraction consists of a numerator and a denominator. An example of a fraction is 1/2 where 1 is the numerator and 2 is the denominator.
In order to determine the miles Sophia drove, the total distance of the trip would be multiplied by the fraction of the time Sophia drove.
Miles Sophia drove = 3/5 x 100
= 60 miles
So sophia drove 60 miles in 500 miles.
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PLEASE SOMEONE HELP I NEED IT LIKE RN
1. Write a linear equation with the given information
Through (4,-5), parallel to y = -x + 1(4 Points)
2. Write a linear equation with the given information
Through (2,-1), perpendicular to y = -2/3x + 5(4 Points)
[tex](d) \: \: y = - x - 1[/tex]
(2)Slopes of 2 perpendicular lines multiply to -1[tex]a \times \frac{ - 2}{3} = - 1 \\ a = \frac{3}{2} [/tex]
(D): y=(3/2)x+bPasses through (2,-1)-1=(3/2)(2)+bb=-1-3=-4[tex](d) \: \: \: \: y = \frac{3}{2} x - 4[/tex]
Answer:
1. y = -x - 1
2. y = (3/2)x - 4
Step-by-step explanation:
1. Let y = ax + b be the equation of the line
that passes Through (4,-5) and parallel to y = -x + 1
Where ‘a’ is the slope and b the y value of the y-intercept point.
The lines are parallel
then
they have the same slope
then
a = -1
we get :
y = -x + b and the point (4 , -5) lies on the line
then
-5 = -(4) + b
Then
b = -5 + 4 = -1
Conclusion:
y = -x - 1
………………………………………
2. Let y = mx + p be the equation of the line
that passes Through (2,-1) and perpendicular to y = -2/3x + 5
Where ‘m’ is the slope and p the y value of the y-intercept point.
The lines are perpendicular
then
The product of their slopes = -1
Then
m × (-2/3) = -1
Then
m = 3/2
we get :
y = 3/2x + p and the point (2 , -1) lies on the line
then
-1 = (3/2)×(2) + p
Then
p = -1 - 3 = -4
Conclusion:
y = (3/2)x - 4
2) Which statement about the radius of a circle is true?
A. The radius is the boundary of a
circle.
B. The radius is the distance around a portion of a circle's boundary.
C. The length of a radius is always the same for a given circle.
D. The radius is a line segment passing through a circle's center, with endpoints on the boundary.
Answer:
C.
Step-by-step explanation:
The boundary of a circle is the circle itself.
The radius of a circle is a segment from the center of the circle to any point of the circle.
In a circle, every radius has the same length.
Answer: C.
PLEASE HELP!!!!
Question 7(Multiple Choice Worth 1 points)
(06.05 LC)
Given the functions m(x) = 4x - 11 and n(x) = x - 10, solve m[n(x)].
m[n(x)] = 4x - 51
m[n(x)] = 4x - 29
m[n(x)] = 4x²- 51
m[n(x)] = 4x² - 29
Answer:
4x -51
Step-by-step explanation:
m(n(x)) = m(x - 10) = 4(x-10) - 11 = 4x -40 -11 = 4x -51
Answer:
m[n(x)] = 4x - 51
Given following:
m(x) = 4x - 11n(x) = x - 10Solving steps:
m[n(x)]m[x - 10]4(x - 10) - 114x - 40 - 114x - 51PLEASE I NEED THIS ASAP PLEASE
The correct option is the second one:
i) right, right, left.ii) Undefined.What can we say about the calculation?We know that:
x > 0z > 0y < 0We have the operation:
x - y + (-z)
Notice that because y is negative, then -y is positive.
Because z is positive, -z is negative.
Then we have:
positive + positive + negative
Or, in the number line:
right, right, left.
Second question:
Can we conclude the sign of the outcome?
No, we can't, the sign will depend on the values of x, y, and z.
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Answer:The correct option is the second one:i) right, right, left.ii) Undefined.
Step-by-step explanation:
Find the value of x and y
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
What does the information want:
value of xvalue of yLet's gather some information:
ΔA'BC' and ΔABC are similar triangles⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the Angle-Angle Theorem*, they are similar triangles
If they are similar triangles:
⇒ their side lengths are proportional to each other
let's find x's value⇒ let's set up a proportion
[tex]\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143[/tex]
let's find y's value⇒ let's set up a proportion
[tex]\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25[/tex]
Answer:
x= 17.143y = 26.25Hope that helps!
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How can i simplify this one, please someone help me!
Combine the fractions and factorize.
[tex]\dfrac{3a^2b}{a-b} + \dfrac{3ab^2}{b-a} = \dfrac{3a^2b}{a - b} - \dfrac{3ab^2}{a - b} \\\\ ~~~~~~~~ = \dfrac{3a^2b - 3ab^2}{a - b} \\\\ ~~~~~~~~ = \dfrac{3ab (a - b)}{a - b} \\\\ ~~~~~~~~ = 3ab[/tex]
The concentration C of a chemical in the bloodstream t hours after injection into the muscle tissue is given by c=3t^2+t/t^3+50
The maximum concentration is greatest at; t = 4.926 hours
How to find the time at maximum concentration?We are given the equation that represents the concentration as;
C = (3t² + t)/(50 + t³)
The maximum value of C is obtained when the slope of C' is zero (can be a local maxima too). So we are going to find solutions of C'.
C' = (-3t⁴ - 2t³ + 300t + 50)/(50 + t³)
At C' = 0, we have;
-3t⁴ - 2t³ + 300t + 50 = 0
Using online polynomial root calculator, the only valid root of this is;
t = 4.926 hours
Thus, the maximum concentration is greatest at t = 4.926 hours
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the graph below shows the quadratic function of f and the table below shows the quadratic function of g -1 0.75 2 2.75 3 2.75
The correct information based on the equation is that the functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
How to illustrate the information?From the graph of f(x):
⇒ Axis of symmetry will be at x = 2
⇒ The maximum value of f(x) = 4
From the table of g(x):
⇒ Axis of symmetry will be at x = 2
⇒ The maximum value of g(x) = 3
The graph is attached.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
Here is the other part of the question:
Which statement is true?
The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
The functions f and g have different axes of symmetry and different maximum values.
The functions f and g have the same axis of symmetry and the same maximum values.
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The price of a CD decreased from $18 to$12 . What is the percent of decrease? 6% 25% 33% 60%
A percentage is a way to describe a part of a whole. The percetage decrease in the price of CD is 33.33%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The price of the CD decreases from $18 to $12. Therefore, the percentage decrease is,
Percentage Decrease = ($18-$12)/$18 × 100% = 33.33%
Hence, the percetage decrease in the price of CD is 33.33%.
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The z-score with a two-tail probability of 0.55 is
Answer:
-0.61
Step-by-step explanation:
0.55/2=0.275
Read 0.275 from normal distribution tables
Gives -0.61
Carla Vista Co. has delivery equipment that cost $49,600 and has been depreciated $24,600.
Prepare a tabular summary to record the disposal under the following assumptions.
It was sold for $37,900
was sold for 19100
a)
Gain on disposal=$12,900
b)
Loss on disposal=$5,900
Prepare a tabular summary to show the cost of equipment disposed of, the accumulated depreciation, and gain or loss recorded on disposal?
Note that initially when the equipment was purchased, it would be debited to an asset account, whereas, it would be credited upon disposal since the company no longer owns it.
The accumulated depreciation was originally a credit entry in the balance sheet and needs to be debited now that the equipment has been sold.
Note that the excess of the sum of the accumulated depreciation and the cash received over the initial cost of the equipment is a gain and the reverse means a loss was recorded on disposal.
Account DR CR
Asset $49,600
Gain on disposal $12,900
Accumulated depreciation $24,600
Cash received $37,900
gain on disposal=$24,600+$37,900-$49,600
gain on disposal=$12,900
Account DR CR
Asset $49,600
Accumulated depreciation $24,600
Cash received $19,100
Loss on disposal $5,900
Loss on disposal=$49,600-$24600-$19,100
Loss on disposal=$5,900
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