Answer:
Note: The full question is attached as picture below
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
Luis goes out to lunch. The bill, before tax and tip, was $14.60. A sales tax of 9% was added on. Luis tipped 19% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Add the sales tax to the bill:
Bill with tax = 14.60 x 1.09 = $15.95
Multiply the total bill by the tip percentage:
Tip = 15.95 x 0.19 = 3.02
Tip = $3.02
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Suppose the goal is to raise $600. One equation relating the calendar and poster sales to the $600 goal is 3c + 2p= 600. Suppose the company donating the calendars and posters said they would provide a total of $250 items.
Answer:
100 calendars and 150 postersStep-by-step explanation:
Note it seem the "$" shouldn't be in front of 250 as it is the numbe of itemsa) The second equation is
c + p = 250b) The graph of both equations is attached
The intersection point of the lines is (100, 150)
It indicates 100 calendars and 150 posters to be donated to meet both of targets $600 and 250 items.
Answer:
Given equation:
\(3c+2p=600\)
where:
c = number of calendarsp = number of postersPart (a)If the company donating the calendars and posters said they would provide a total of 250 items then:
\(c+p=250\)
Part (b)To graph:
Rewrite both equations to make p the subjectFind the c-interceptFind the p-interceptConnect the two points with a straight line\(3c+2p=600 \implies p=300-\dfrac{3}{2}c\)
\(\textsf{x-intercept}: \quad 300-\dfrac{3}{2}c=0 \implies c=200 \implies (200,0)\)
\(\textsf{y-intercept}: \quad 300-\dfrac{3}{2}(0)=300 \implies (0,300)\)
\(c+p=250 \implies p=250-c\)
\(\textsf{x-intercept}: \quad 250-c=0 \implies c=250 \implies (250,0)\)
\(\textsf{y-intercept}: \quad 250-0=250 \implies (0,250)\)
Point of intersection (equate equations):
\(\begin{aligned}300-\dfrac{3}{2}c &=250-c\\50 & =\dfrac{1}{2}c\\ c & =100\end{aligned}\)
\(p=250-100=150\)
\(\implies \left(100,150}\right)\)
The point of intersection tells us that they need to sell 100 calendars and 150 posters to reach their goal of raising $600. Therefore, the company needs to provide 100 calendars and 150 posters (or 250 items in the ratio of calendars to posters of 2 : 3).
A man is 4 times as old as his son. In 5 years time he will be 3 times as old as his son. What is the present age of the son in years.
Answer: 40 years old.
Step-by-step explanation:
Let man's age = a
Let son's age = b
Since a man is 4 times as old as his son, therefore
a= 4b
In 5 years, he will only be 3 times as old as his son, therefore
a+5=3(b+5)
Apply substitution method :
4b+5=3b+15
b=10
a=40
64° 42 °
xº
48°
Find the value of x
Discuss measures that can be taken to develop the spirit of hard work
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
3. m/U = 3x°, and m/V = 3(m/U). Find the value of x that makes ZU and
ZV supplementary angles.
The value of x that makes ∠U and ∠V to be supplementary angles are; x = 15°
What are supplementary angles?
When we are talking about angle theorem and congruency in mathematics, it is well know that supplementary angles are defined as angles whose sum is equal to 180 degrees.
Now, we are given;
∠U = 3x°
∠V = 3(∠U)
Thus;
∠V = 3(3x°) = 9x°
From definition of supplementary angles, we can say that;
3x° + 9x° = 180°
12x = 180°
x = 180/12
x = 15°
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Bre'Aujanaye operates a flower shop in Paris. All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and
special events. Why type of organization does Bre'Aujanaye have?
The type of market in which all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.
What is Oligopoly?An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.
Given situation:
All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.
As, we know that A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.
Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.
Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.
So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.
Hence, type of market is Oligopoly.
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can someone please help me
Answer:
what do you need?
Step-by-step explanation:
Answer:
The first is
Basketball : 2
Football :0
Nd da 3rd one (donno da name) : 4
Step-by-step explanation:
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Alex was making pumpkin soup that called for 3 and 4/5 cups of pumpkin. If Alex makes 2 batches of soup how many cups of pumpkin will he need?
Answer:
7 and 3/5
Step-by-step explanation:
3 and 4/5 times 2 is 7 and 3/5
-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
Divide x3 – 3x2 + x-2) ÷ 10x414x3_10x2 + 6x = 10 The quotient is ____
The remainder is ____
Answer:
Im pretty sure X= 5/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x3−3x2+x−2
10
x414)(x3)(0)x2+6x=10
0+6x=10
(6x)+(0)=10(Combine Like Terms)
6x=10
6x=10
Step 2: Divide both sides by 6.
6x
6
=
10
6
x=
5/3
What is 1-2x=-x-3 an step by step in algebra ?
Answer:
4
Step-by-step explanation:
1-2x=-1x-3
add 1x to both sides
1-1x=-3
subtract one to both sides
-1x=-4
divide by -1
x=-4
Answer:
x = 4
Step-by-step explanation:
1 - 2x = -x - 3 Step 1: add 2x to both sides
1 = x - 3 Step 2: add 3 to both sides
x = 4
A small metal shop operates 10 hours each day, producing 100 parts/hour. If productivity were increased by 20%
a. What is the new productivity
b. How many hours would the plant have to work to produce 1000 parts?
Step-by-step explanation:
a. To find the new productivity, first calculate the increase in productivity:
Increase in productivity = 20% of 100 parts/hour
= 0.2 x 100
= 20 parts/hour
New productivity = Old productivity + Increase in productivity
= 100 + 20
= 120 parts/hour
Now the new productivity is 120 parts/hour.
b. To find the number of hours required to produce 1000 parts, we can use:
Number of hours = Number of parts ÷ Productivity
Substituting the given values, we get:
Number of hours = 1000 ÷ 120
= 8.33 hours
So the plant would have to work for 8.33 hours to produce 1000 parts at the new productivity level.
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How do I find the value
A = 139°
B = 139°
You can see A and B are coefficients of each other, which means they have the same angle because they are opposite each other on the straight line. just like the two 41° angles are.
The angle around a point always add up to 360°, so add the 41° angles.
41 + 41 = 82°
Then minus this by 360°.
360 - 82 = 278°
And to work out one angle, which gives you the angle for both, divide 278 by two.
278 ÷ 2 = 139°
Both A and B have an angle of 139°
Example:
To find the value of two intersecting lines, you need to know the equations of both lines. Then, you can set the equations equal to each other and solve for the variable x. This will give you the x-coordinate of the point where the lines intersect. To find the y-coordinate, you can plug the value of x into either equation and solve for y. For example, if one line is y = 3x - 5 and another line is y = -2x + 7, then you can set 3x - 5 = -2x + 7 and solve for x:
3x - 5 = -2x + 7
5x = 12
x = 12/5
Then, plug x = 12/5 into either equation and solve for y:
y = 3(12/5) - 5
y = 36/5 - 25/5
y = 11/5
Therefore, the point of intersection is (12/5, 11/5).
If one of the lines has a given angle, such as 41 degrees, then you can use trigonometry to find its equation. For example, if one line passes through the origin and has an angle of 41 degrees with the positive x-axis, then you can use the slope formula to find its equation:
slope = tan(41 degrees) ≈ 0.87
y = mx + b
y = 0.87x + 0
Then, you can use the same method as before to find the point of intersection with another line.
_______________________________________________________
The answer is 139 degrees, using the method I gave.
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Find the sides marked with letters, all lengths are given in centimeters.
Answer:
Length of side LM = 9 units
Length of side AC = 9 units
Length of side LN = 15 units
Step-by-step explanation:
Given:
In Δ LMN
Length of side LM = m
Length of side LN = a
Length of side MN = 15
In Δ ABC
Length of side AB = 6
Length of side BC = 9
Length of side AC = m
Find:
Length of all missing sides
Computation:
We know that both triangle are similar using AA rule
So,
Length of side LM / Length of side MN = Length of side AB / Length of side BC
Length of side LM / 15 = 6 / 9
Length of side LM = [6 x 15] / 9
Length of side LM = 90 / 9
Length of side LM = 9 units
Length of side LM = Length of side AC = m
Length of side AC = 9 units
Length of side MN / Length of side LN = Length of side BC / Length of side AC
15 / Length of side LN = 9 / 9
Length of side LN = 15 units
Joshua says that this picture represents 4.2 . Makayla says that this picture represents 42 . Use the drop-down menus to explain how either could be correct
according to the given statement both are having correct interpretation with or without decimal.
what is decimal?Both integer as well as non-integer amounts are frequently expressed using the decimal number system. The Hindu-Arabic number system has been expanded to include non-integer values. Decimal notation is the method used to represent numbers using the system of decimals. Either a whole number as well as a fractional number can be found in a decimal number. Decimal numbers that fall between integers are used to express complete and partially completed amounts numerically. A decimal point separates the whole number from the fractional portion of a decimal number. The little dot which appears among whole numbers as well as fractions is known as the decimal point.
given,
Joshua could be correct because the picture shows four full squares and two tenths of another square. This can be written as the decimal 4.2, where the 4 represents the four full squares and the 0.2 represents the two tenths of a square.
Makayla could also be correct because the picture can be interpreted as representing 42, but not as a decimal. Rather, each square could represent a value of 10, and the two smaller squares could represent a value of 1 each. This gives a total value of 42, as Makayla suggests.
So, both interpretations of the picture could be correct, depending on whether one is using a decimal or a whole-number system.
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Find the volume and surface area of each prism one prism a 3 cm x 3 cm x 3 cm to prism beat 5 cm x 5 cm x 1 cm three compare the volume of the prisms and then there are surface areas does the prism with a greater volume also have the greatest surface area?
The volume of prism A and B are 27 cm³ and 25 cm³ respectively and the Surface area of prism A and B are 54 cm² and 70 cm² respectively.
No, the prism with a greater volume doesn't always have the greatest surface area.
What is the Volume and Surface Area of a Prism?The area that a prism takes up is referred to as its volume. A prism is a solid, three-dimensional structure with two identical faces and additional faces that resemble parallelograms. It is a polyhedron whose nomenclature is influenced by the various basic shapes. The total space filled by the flat faces of a prism is referred to as its surface area. Calculating the sum of the areas of all the faces (or surfaces) in a 3D plane, or the total space occupied by all the faces of the specific type of prism will yield the surface area of the prism.Given:
Prism B is a rectangular prism, whereas prism A is a cube.
The prism's volume is determined by
Volume = length × width × height
So, the Volume of prism A whose each side 3 cm is,
Volume of prism A = 3 × 3 × 3 = 27 cm³
Volume of prism B with sides 5 cm,5 cm, and 1 cm is
Volume of prism B = 5 × 5 × 1 = 25 cm³
The cube's surface area is 6a², where a is one of the cube's sides. So
Surface Area of prism A = 6 × (3)² = 6 × 9 = 54 cm²
Surface area of the rectangular prism is given by,
2(length × width + length × height + width × height)
Surface Area of prism B = 2(5×5 + 5×1 + 5×1)
= 2(25 + 5 + 5)
= 2 × 35 = 70 cm²
From the above calculations, it is clear that the prism with a greater volume doesn't always have the greatest surface area.
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1. Graph the function f(x) = 3 sec 2θ - 2. Be sure to specify the value of the amplitude, period, phase shift, and vertical shift, as appropriate. Your graph must have two complete periods to count for full points.
Answer:
The graph of the given function is attached
How to determine graph of the given functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 3sec(2θ) - 2
A sinusoidal function is represented as
y = A sec B(x - C) + D
Where
Amplitude = APeriod = 2π/BPhase shift = CSo, we have
A = 3
Period = 2π/2 = π
For the phase shift, we have
C = 0
For the vertical shift, we have
D = -2
See attachment for the graph of the function
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In 2002, the population of a town was approximately 34,050. In 2012,
the population of the town had increased to approximately 56,800. Based
on a linear model, what will be the approximate population of the town
in 2020?
Answer choices
A. 52,250
B. 75,000
C. 79,550
D. 99,850
Part V: Determine the exact value of sin(0/2)Use the picture for givens
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given Trigonometric ratio
\(\sin\theta=\frac{2\sqrt{3}}{5}\)STEP 2: Write the required Trigonometric function
\(\sin\frac{\theta}{2}\)STEP 3: Express the required trig in a form that has sin theta
\(undefined\)If these cylinders and prisms were broken into two separate groups, what would be an equivalent ratio to 8/2? i dont have much longer and btw it doesn't have a picture.
100 points?
The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.
We have,
Cylinder and prism.
Here we have to find the equivalent ratio to 8/2.
First simplifying the given ratio as
8/2
= (4 x 2)/2
= 4 /1
Now, some more ratios equivalent to 8/2.
1. 8/2 x 3/3 = 24/ 6
2. 8/2 x 4/4 = 32/8
3. 8/2 x 6/6= 48/12
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How many nonzero elements are in the matrix below?
Answer:
It's actually C. 19
Step-by-step explanation:
29. What is length of x?
Please explain this one too me since I did not understand it thanks
The length x is found to be 10 yards and is calculated using Polygon Triangulation.
What is Polygon Triangulation?
The polygonal triangulation is a method in which the area of polygon is divided into triangles to simplify calculation.
From the attached figure, we can find a using Pythagorus Theorem
a = \(\sqrt{6^{2} - 4.8^{2} }\) = 3.6
cos θ = \(\frac{4.8}{6}\) = 0.8
In ΔXYZ
cos θ = \(\frac{8 + 4.8 }{x+ 6} \\\\\)
0.8 = \(\frac{12.8}{x + 6}\)
Solving for x,
x = 10 yards
Therefore the length of x found using polygonal triangulation method is 10 yards.
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Hi! I was absent in class and did not understand this lesson please I will be really grateful if you help me ! I appreciate it this is classwork assignment does not count as a test
ANSWER
\(\frac{240}{289}\)EXPLANATION
We want to find the value of the expression using the given figure:
\(\sin (2\theta)\)To do this, let us rewrite the expression in terms of its trigonometric identity:
\(\sin (2\theta)=2\sin \theta\cos \theta\)To solve this we can apply trigonometric ratios SOHCAHTOA for right triangles to find the values of sine and cosine:
\(\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \end{gathered}\)For the given triangle, we have that:
\(\begin{gathered} \sin \theta=\frac{8}{17} \\ \cos \theta=\frac{15}{17} \end{gathered}\)Therefore, the value of the expression is:
\(\begin{gathered} \sin 2\theta=2\cdot\frac{8}{17}\cdot\frac{15}{17} \\ \sin 2\theta=\frac{240}{289} \end{gathered}\)That is the answer.
15. And 17. Find the value of the trigonometric ratio. And the degree of the angle. Show work!
Answer:
see explanation
Step-by-step explanation:
15
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{12}{35}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{12}{35}\) ) ≈ 18.9° ( to the nearest tenth )
17
sin Z = \(\frac{opposite}{hypotenuse}\) = \(\frac{XY}{XZ}\) = \(\frac{12}{37}\) , then
∠ Z = \(sin^{-1}\) ( \(\frac{12}{37}\) ) ≈ 18.9° ( to the nearest tenth )
Find three consecutive odd integers such that 5 times the
smallest is 9 less than 4 times the largest.
The three consecutive odd integers are7,9 and 11.
What is an integer?
⇒ An integer is a whole number that can be positive, negative, or 0.
Examples: -22, 5, 1000
⇒ Any decimal numbers are NOT integers (for example the number 2.76 is not an integer)
What are consecutive odd integers?
⇒ Consecutive odd integers are odd integers that follow each other and they differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers.
Calculation:
Let the three consecutive odd integers are x,x+2, and x+4
We have been given that 5 times The smallest is 9 less than 4 times the largest.
It means,
5 times the smallest means (5x) = 9 less than 4 times the largest means(4(x+4)-9)
⇒ 5x=4(x+4)-9
5x=4x+16-9
x=7
Hence the three consecutive odd integers are7,9 and 11.
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The circle has a radius of 6 inches find it’s approximate area and circumference.. use 3.14
Answer:
area=113.04 square inches
circumference=37.7 inches
Step-by-step explanation:
area=3.14×6×6
=113.04 square inches
circumference=2×3.14×6
=37.7 inches
What is -2.3 - ( 4.5 - 3 1/2)?
a) 2.3
b)-10.3
c) -3.3
d)-1.3
PLEASE HELP ME SOON!!!!!
Answer:
-3.3 (Choice 3)
Answer:
-3.3
Step-by-step explanation:
1/2=0.5 so 3+0.5=3.5
4.5-3.5=1 Brackets comes first because BIDMAS
-2.3-1= -3.3
Write the number shown in standard form and expanded notation
Given:
Standard form and expanded notation
Find-:
The number shown in standard form and expanded notation
Explanation-:
The standard form is
Standard form = The standard form is
\(abcde=a.bcde\times10^4\)For example, is
\(5326.6=5.3266\times10^3\)The expanded form is
The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.
For example
\(7229=7000+200+20+9\)A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?
bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.
Let's assume the original price of an item is $100.
The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.
The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.
Therefore, the final price you end up paying after both discounts is $22.50.\
To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:
Percent of original price = (final price / original price) * 100
In this case, the final price is $22.50 and the original price is $100:
Percent of original price = ($22.50 / $100) * 100
= 0.225 * 100
= 22.5%
Therefore, you end up paying 22.5% of the original price after the discounts.
It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.
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