Where the above factors are given, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.
Why is this so?The profit equation for the sale of pressure cookers for the company Kitchen Masters is:
P = −120p² + 19,800p − 727,450
To find the sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300,
Let the profit equation = 89,300.
Now, we solve for p:
89,300 = −120p² + 19,800p − 727,450
Adding 727,450 to both sides:
816,750 = -120p² + 19,800p
Dividing both sides by -120:
-6,805 = p² - 165p
Rearrange the equation to make it Quadratic
p² - 165p + 6,805 = 0
Now we can solve for p using the quadratic formula:
p = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = -165, and c = 6,805.
p = (-(-165) ± √((-165)² - 4(1)(6,805))) / 2(1)
p = (165 ± √((27,225 - 27220)) / 2
p ≈ 83.618 or p ≈ 81.382
Therefore, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.
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Find the angle between the pair of vectors to the nearest tenth of the degree
The value of angle between the two vectors is 86⁰.
What is the angle between the two vectors?The value of angle between the two vectors is calculated as follows;
tan θ = vy/vx
where;
vy is the sum of the vertical directionvx is the sum of vectors in horizontal direction( -8, 9), (-9, -6)
vy = (-6 - 9) = -15
vx = (-9 + 8) = -1
tan θ = ( -15 ) / ( -1 )
tan θ = 15
The value of θ is calculated by taking arc tan of the fraction,;
θ = tan ⁻¹ ( 15 )
θ = 86⁰
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Solve for m. m/2 - squareroot 5 = 3
Answer:
We can start by isolating the variable term on one side of the equation and moving all other terms to the other side.
First, we'll add the square root of 5 to both sides of the equation:
m/2 - sqrt(5) + sqrt(5) = 3 + sqrt(5)
Simplifying:
m/2 = 3 + sqrt(5)
Next, we'll multiply both sides of the equation by 2:
m = 2(3 + sqrt(5))
Simplifying:
m = 6 + 2sqrt(5)
Therefore, the value of m is 6 + 2sqrt(5).
Step-by-step explanation:
A fair coin is tossed times in succession. The set of equally likely outcomes is . Find the probability of getting exactly .
The probability of getting exactly zero tails is,
⇒ 1/4
We have to given that;
A fair coin is tossed two times in succession.
And, The set of equally likely outcomes in {HH,HT,TH, TT}.
Hence, a total number of 4 outcomes (denominator) and there in only 1 chance (numerator) that you will not get tails.
Thus, the probability of getting exactly zero tails is,
⇒ 1/4
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Complete question is,
A fair coin is tossed two times in succession. The set of equally likely outcomes in {HH,HT,TH, TT}. Find the probability of getting exactly zero tails.
please help for this question
Using the translation vector of 3 units up and 1 unit right resulted to image coordinate of
(3, 7)
(3, 5)
(2, 5)
The image is attached
How to find the translation vectorThe translation vector is of the rule 3 units up and 1 unit to the right
The coordinate of the preimage are
(2, 4)
(2, 2)
(1, 2)
The translation is done as below
(2 + 1, 4 + 3) = (3, 7)
(2 + 1, 2 + 3) = (3, 5)
(1 + 1, 2 + 3) = (2, 5)
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Determine if the statement is true or false.
Angle AEC and DEB are complementary angles and therefore add up to 180 degrees.
1. True
2. False
The statement "Angle ∠AEC and ∠DEB are complementary angles" is false.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
Angle ∠AEC and ∠DEB are supplementary angles because the sum is 180 degrees.
Thus, the given statement is false.
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You deposit $500 in an account that earns simple interest at an annual rate of 4%. How much money is in the account after 6 years?
Answer:
The formula for simple interest is:
I = P * r * t
Where:
I = Interest earned
P = Principal amount (initial amount deposited)
r = Annual interest rate (as a decimal)
t = Time in years
Using the given values, we have:
P = $500
r = 0.04 (4% expressed as a decimal)
t = 6 years
I = P * r * t
I = $500 * 0.04 * 6
I = $120
So the interest earned after 6 years is $120. To find the total amount of money in the account, we add the interest to the principal:
Total = P + I
Total = $500 + $120
Total = $620
Therefore, there will be $620 in the account after 6 years.
Step-by-step explanation:
A national pizza chain collected data from 189 stores about pizza orders on a busy Saturday. The number of pizzas ordered from 15 random stores is below. 28, 53, 35, 66, 35, 28, 66, 48, 53, 53, 66, 53, 66, 66, 35 If the sample was representative of the entire chain, what was the mode of the number of pizzas ordered for all 189 stores? A. 50.07 B. 48 C. 53 D. 66
please hurry ;(
The mode of the number of pizzas ordered for all 189 stores is [tex]66[/tex]. The Option D is correct.
How do we get the mode for this datas?Mode refer he most frequent number, that is, the number that occurs the highest number of times. To find mode, we must determine the value that appears most frequently in the sample.
From the given data: [tex]28, 53, 35, 66, 35, 28, 66, 48, 53, 53, 66, 53, 66, 66, 35[/tex]. We see that the value 66 appears 5 times, which is more than any other value.
Therefore, the number 66 is the mode.
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Helpppp I need helppp
NEED HELP PLS! IT WAS DUE TODAY!!
What is the length of BD
The value of length BD is 3.0 units
What is Pythagoras theorem?Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
since AC is a radius that joins a tangent, the angle between them is 90°. Therefore ∆ABC is a right triangle and Pythagoras theorem can be applied.
therefore c² = a²+b²
c² = 4.5²+6²
c²= 20.25+36
c²= 56.25
c = √7.5
AC = CD(radii of a circle)
therefore BD = BC -CD
= 7.5-4.5
= 3.0units
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As a market researcher, you have been hired by a fast-food chain. They want to know what kind of food containers the public prefers (given environmental and recycling concerns). The question is whether the public prefers their hamburgers wrapped in aluminum foil, foam boxes, or paper. Analyze the following data for whether there is a significant difference.
Foam 74
Paper 103
FOIL 123
Calculate the appropriate statistic, identify the critical value, make your decision and conclusion and present the statistical results in correct form.
The conclusion is there is not a significant difference between the preference for the three food containers.
The appropriate statistic to use in this case is a chi-squared test. This test will help us determine if there is a significant difference between the preference of the three food containers.
The critical value for the chi-squared test with 2 degrees of freedom is 5.991.
The chi-squared statistic is calculated as follows:
(74-103)²/103 + (103-123)²/123 + (123-103)²/103
= 3.9/3.9
= 1.0
The chi-squared statistic (1.0) is less than the critical value (5.991). Therefore, there is not a significant difference between the preference for the three food containers.
The statistical results can be presented in the following form:
Chi-squared statistic = 1.0
Critical value = 5.991
Therefore, the conclusion is there is not a significant difference between the preference for the three food containers.
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Length of the Glass = ? if length of 6 glasses is 34 cm and length of 2 glasses 19 cm find length of 1 glass
The length of the glass is L = 5.67 cm
Given data ,
Let the length of one glass be "x" cm
According to the given information, the length of 6 glasses is 34 cm.
So, the combined length of 6 glasses is 6x cm, which is equal to 34 cm.
Similarly, the length of 2 glasses is 19 cm.
So, the combined length of 2 glasses is 2x cm, which is equal to 19 cm.
6x = 34 be equation (1)
2x = 19 be equation (2)
Now we can solve these equations to find the value of "x", which represents the length of one glass.
On dividing equation 1 by 6, we get:
x = 34/6
x ≈ 5.67 cm
Hence , the length of one glass is approximately 5.67 cm
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A circular table measures 2.5 feet across the diameter of its top. What is the approximate area of the table top. Use 3.14 for TT.
O 9.42 ft²
O 19.63 ft²
O 4.91 ft²
O 7.85 ft²
b) Convert the pressure you calculated into pound per square inch (PSI) using the following relationship:
1 PSI = 6896.6 kg/m-sec2
The pressure of 1000 Pa is equal to 0.145 pound per square inche(PSI)
Let the pressure be 1000 pascal
We have to convert it to pound per square inche
1 psi = 6896.6 Pa
Therefore, to convert 1000 Pa to psi, we can divide by this conversion factor:
1000 Pa ÷ 6896.6 Pa/psi
= 0.145 psi
Hence, the pressure of 1000 Pa is equal to 0.145 psi.
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An axon is a
long, tubelike structure extending from a neuron's cell body
branch-like fiber extending in clusters from a neuron's cell body
neuron's cell body
messenger of the nervous system.
An axon is a long, tubelike structure extending from a neuron's cell body branch-like fiber extending in clusters from a neuron's cell body messenger of the nervous system is true.
We have,
An axon is a long, tubelike structure that extends from a neuron's cell body.
It is a specialized fiber that carries electrical impulses, known as action potentials, away from the cell body and towards the axon terminals.
Axons are covered by a fatty substance called myelin, which insulates and protects the axon and helps to speed up the transmission of signals.
At the end of the axon, there are small branches called axon terminals, which release chemicals called neurotransmitters into the synapse, the small gap between the axon terminals and the dendrites of the next neuron in the circuit.
This allows the electrical signal to be converted into a chemical signal and transmitted to the next neuron, continuing the chain of communication in the nervous system.
Thus,
An axon is a long, tubelike structure extending from a neuron's cell body branch-like fiber extending in clusters from a neuron's cell body messenger of the nervous system is true.
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In Brian's grade, 440 students are enrolled in health and 60 students are not. What percentage of the students in the school are enrolled in health?
88% of the students in the school are enrolled in health.
We have,
Students enrolled in health = 440
Students not enrolled = 60
Total students = 500
So, x% of 500 = 440
x/100 (500) = 440
5x = 440
x = 88%
Thus, 88% of the students in the school are enrolled in health.
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3 subtracted from quarter of g is 6
Answer: G=36
Step-by-step explanation:
Step 1: Write out the equation
1/4g-3=6
Step 2: Add 3 to both sides
1/4g=9
Step 3: Divide both sides by 1/4, or 0.25
G=36
Help with this page :)
17. 15 degrees
18. ABC
19. 5.88
20. 11.59
let me know if you'd like an explanation
two 1−quart bottles
two 1−quart bottles
two 1−quart bottles and two 1−pint bottles
two 1−quart bottles and two 1−pint bottles
one 1−quart bottle and eight 8−ounce fluid glasses
one 1−quart bottle and eight 8−ounce fluid glasses
Select the objects that hold the same amount of liquid as a 96−fluid-ounce jug. Select all that apply.
three 1−quart bottles
three 1−quart bottles
two 8−ounce fluid glasses and two 1−pint bottles
two 8−ounce fluid glasses and two 1−pint bottles
To determine which objects hold the same amount of liquid as a 96-fluid-ounce jug, we need to convert each of the given measurements to fluid ounces and then add them up. Here are the conversions:
Two 1-quart bottles = 64 fluid ounces (2 x 32)
Two 1-pint bottles = 32 fluid ounces (2 x 16)
One 1-quart bottle and eight 8-ounce fluid glasses = 96 fluid ounces (32 + 8 x 8)
So, the objects that hold the same amount of liquid as a 96-fluid-ounce jug are:
One 1-quart bottle and eight 8-ounce fluid glasses
Three 1-quart bottles
Therefore, the correct answer is:
one 1−quart bottle and eight 8−ounce fluid glasses
three 1−quart bottles
Keng adds a 3-inch-wide frame around all sides of his canvas.
Answer:
That statement describes an action taken by Keng to add a 3-inch-wide frame around all sides of his canvas, likely for artistic or aesthetic purposes. This would result in the canvas being extended by 3 inches in each direction, effectively increasing its overall dimensions and adding a border or frame around the original artwork. The purpose and effect of adding a frame may vary depending on the artistic intention of the artist, but it is a common practice in art and design to enhance the presentation and visual appeal of the artwork.
Step-by-step explanation:
Is this right. Don’t know the difference between the stratified and systematic random. Pic below
The difference between the stratified and systematic random sampling is explained below.
Systematic random sampling is a method where every Kth person of the population is chosen to be part of the sample, whereas stratified random sampling is a method where the population is first divided into subgroups, and then drawing a simple random sample from each subgroup.
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7/5+1/4 Why isn't it giving me the answer
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
If the question is asking you to add the two fraction you would need to follow these steps:
Step 1: find a common denominator (both of the number 20 in common
Step 2: add the numerators ( 7/20 + 1/20 would = 8/20 )
Step 3 simply the fraction ( 8/20 will be simplyed to 2/5)
Answer:
33/20
Step-by-step explanation:
First find the Least common denominator
Then you check how many times each denominator goes into de Least common denominator
After multiply the number you got when you checked for the times the denominator will go into the LCM with the numerator then simplify
use the equation 1/5 +s =32/40
The required solution to the equation 1/5 + s = 32/40 is s = 3/5.
To solve the equation 1/5 + s = 32/40 for s, we can begin by subtracting 1/5 from both sides to isolate s:
1/5 + s = 32/40
s = 32/40 - 1/5
We need a common denominator to combine the fractions on the right side of the equation. The least common multiple of 5 and 40 is 40, so we can convert both fractions to have a denominator of 40:
s = (32/40) - (8/40)
s = 24/40
Simplifying the fraction 24/40 by dividing both the numerator and denominator by their greatest common factor, which is 8, we get:
s = 3/5
Therefore, the solution to the equation 1/5 + s = 32/40 is s = 3/5.
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1. A new bicycle sells for $300 It is on sale for 1/4 off the regular price. Setect
all the expressions that represent the sale price of the bicycle in dollars.
A 300• 1/4
B.)300• 3/4
C.) 300• (1-1/4)
D.) 300- 1/4
E.)300 - 1/4•300
In a case wherby new bicycle sells for $300 It is on sale for 1/4 off the regular price all the expressions that represent the sale price of the bicycle in dollars are
B)300•3/4C)300•(1-1/4)E) 300-1/4•300How can the regular price all the expressions be known?From the option B)300•3/4, we cam see that (300*3)/4 = 225
From the option C)300•(1-1/4), (300*3)/4 = 225
From the E.)300 - 1/4•300, 300 - 75 = 225
Therefore, the correct options are the option BCE as listd below because they are seen as the one that gives the regular price all the expressions hence they are correct.
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Find the surface area of the figure. Round the the
nearest hundredth when necessary.
22 in
17 in
19 in
35 in
20.3 in
The surface area of the figure = 2733.3 sq. in.
First we fine the surface area of the top surface of the figure.
The top surface is an rectangle with length = 19 in. and width = 17 in
Using the formula for the area of rectangle, the area of top face would be,
A₁ = 19 × 17
A₁ = 323 sq. in.
The slant face of the figure is a rectangle with length = 22 in. and width = 17 in
Using the formula for the area of rectangle, the area of slant surface of the figure would be,
A₂ = 22 × 17
A₂ = 374 sq. in.
There are two parallel trapezoidal surface of the figure with bases 35 in. and 19 in. respectively.
The height of the trapezoid = 20.3 in.
Using the formula for that area of trapezoid, the area of two trapezoidal surface of the figure would be,
A₃ = 2 × (sum of lengths two bases/2) × height
A₃ = 2 × (35 + 19/2) × 20.3
A₃ = 1096.2 sq. in.
The area of the bottom surface would be,
A₄ = 35 × 17
A₄ = 595 sq. in.
The area of right surface would be,
A₅ = 20.3 × 17
A₅ = 345.1 sq. in.
So, the total surface area would be,
A = A₁ + A₂ + A₃ + A₄ + A₅
A = 323 + 374 + 1096.2 + 595 + 345.1
A = 2733.3 sq. in.
Therefore, the surface area of the figure = 2733.3 sq. in.
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Find the complete question below.
f(x)=−7x^2+8x+2what is the value of the discriminant of f? how many x-intercepts does the graph of f have?
The discriminant value is 120 and 2 is the x - intercept will have the graph of f.
What is X Intercept?The intercept of a line is the point on a graph where the line crosses an axis. There can be both x and y intercepts on a graph. The x-axis is the horizontal line on the graph, therefore the x-intercept can also be referred to as the horizontal intercept. This is the point where the line crosses the x-axis. At this point, the value of y is zero. The y-axis is the vertical axis on a graph. The y-intercept is the point where the line crosses the y-axis and x has a value of zero.
The function, we have:
[tex]f(x) = -7x^2 + 8x + 2[/tex]
We have to find the value of the discriminant of f and how many x- intercepts of the graph?
Firstly, We have to find the value of discriminant is
[tex]b^2 -4ac[/tex]
[tex]where ,ax^2 +bx+c[/tex]
a= -7, b = 8, c=2
The discriminant is:
= [tex]8^2 - 4(-7) (2)[/tex]
= 64 +56
= 120
This will have 2 real x intercepts because 120 > 0
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.....................
Answer:
(2,0)
Step-by-step explanation:
Find the value of the following expression and round to the nearest integer:
The value of the Expression is 610, 919.
We have,
Expression : [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n+1[/tex]
The expression is a summation formula, representing the sum of a series of values.
Here r= 1.07 and n is number of terms.
So, [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n+1[/tex]
= 700 (1) + [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n[/tex]
= 700 + 700 ([tex]r^{61[/tex] - 1)/ (r-1)
= 700 + 700 ([tex](1.07)^{61[/tex]-1)/ (0.07)
= 700+ 700 (871.7428)
= 610, 919
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Give the rectangular coordinates for the point
The rectangular coordinates from the polar coordinates are: (-4√2, -4√2)
How to convert polar coordinates to rectangular coordinates?The steps to to convert polar coordinates to rectangular coordinates are:
Step 1: Find the x -coordinate for the rectangular coordinate form of the point by using the equation x = r cos(θ)
Step 2: Find the y -coordinate for the rectangular coordinate form of the point by using the equation y = rsin(θ)
Step 3: Write the rectangular coordinates as (x,y) using the results from steps 1 and 2.
We are given the polar coordinates as (8, 225°)
Thus:
x-coordinate of rectangular coordinate = 8 cos 225 = -4√2
y-coordinate of rectangular coordinate = 8 sin 225 = -4√2
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a) A manufacturer of floor wax has developed two new brands, A and B. To determine which of the
two is superior, both waxes are applied to the floor surfaces in each of a sample of 25 homes. It is
known that the proportion of people that prefer A is 0.4 while the rest prefer brand B. Find the
probability that at least 8 homes would state a preference for brand B.
The probability of at least 8 homes would prefer brand B compare to compare A is given by 0.672.
Sample size 'n'= 25
Proportion of people prefer brand A = 0.4
This implies ,
Proportion of people prefer brand B 'p' = 1 - 0.4
= 0.6
Using the binomial distribution.
Let X be the number of homes that prefer brand B out of the 25 homes surveyed.
Then X follows a binomial distribution with parameters n = 25 and p = 0.6
Probability that at least 8 homes would state a preference for brand B. expressed as,
P(X ≥ 8) = 1 - P(X < 8)
Using the binomial distribution, compute P(X < 8) as follows,
P(X < 8) = Σ [²⁵Cₓ] × 0.6ˣ × 0.4²⁵⁻ˣ, for x = 0, 1, 2, ..., 7
where ²⁵Cₓ is the binomial coefficient which represents the number of ways to choose k homes out of 25.
Use a binomial calculator ,
⇒P(X < 8) = [²⁵C₀] × 0.6⁰× 0.4²⁵⁻⁰ + [²⁵C₁] × 0.6¹× 0.4²⁵⁻¹ + [²⁵C₂] × 0.6²× 0.4²⁵⁻² + .......+ [²⁵C₇] × 0.6⁷× 0.4²⁵⁻⁷
⇒P(X < 8) ≈ 0.328
This implies,
P(X ≥ 8) = 1 - P(X < 8)
≈ 1 - 0.328
= 0.672
Therefore, the probability that at least 8 homes would state a preference for brand B is approximately 0.672.
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The above question is incomplete , the complete question is:
A manufacturer of floor wax has developed two new brands, A and B. which she wishes to subject to homeowners' evaluation to determine which of the two is superior. Both waxes are applied to the floor surfaces in each of a sample of 25 homes. It is known that the proportion of people that prefer A is 0.4 while the rest prefer brand B.
Find the probability that at least 8 homes would state a preference for brand B.