The chart to the right shows a country'sannual egg production. Model the data in the chart with a linear function,using the points (1995,52.7)and (1999,61.3).Let x represent the year,where x=0 represents 1995,x=1 represents 1996,and so on,and let y represent the egg production (inbillions). Predict egg production in 2001.
Answers
The predicted egg production in 2001 is given as follows:
65.6 billion.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the yearly change.The intercept b represents the production in 1995.The production in 1995 was of 52.7, hence the intercept b is given as follows:
b = 52.7.
In 4 years, the production increased to 61.3, hence the slope m is given as follows:
m = (61.3 - 52.7)/4
m = 2.15.
Hence the function is of:
y = 2.15x + 52.7.
2001 is 6 years,hence the estimate is given as follows:
y = 2.15(6) + 52.7
y = 65.6 billion.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Related Questions
Line C passes through points (0, 2) and (8,8). What is the slope of a line parallel to line C?
Answers
Answer:
below
Step-by-step explanation:
If line C is parallel to another line, they will have the same slope. so calculate the slope first:
8-2/8-0=3/4(simplified)
and thats it
Bakeware, a bake, ware production company, has a production cost of $6 per round cake pan. Each round cake pan sells for $15. Bakeware's monthly fixed cost is $180,000.
A. Find the break-even quantity.
B. Find the break-even revenue.
C. Find the break-even point.
D. If the company produces and sells 15,000 pans, will this result in a profit or a loss?
E. If the company produces and sells 28,000 pans, will this result in a profit or a loss?
Answers
Answer:
your cheating
Step-by-step explanation:
stopppp
a cylindrical container with an 8 in. diameter and an 2 in. height is completely filled with water. all of its contents are poured into another cylindrical container that is 32 in. tall. if the water completely fills the second container, the second container's diameter is ___ in.
Answers
Volume of a cylinder: π r^2 h
Where:
r = radius
h= height
Calculate the volume of the first cylindrical container:
radius = diameter/2
Volume = π (8/2)^2 (2) = 100.5 in3
Second container
Volume = 100.5
heigth = 32 in
100.5 = π r^2 32
Solve for r
100.5/ (π 32 ) = r^2
1 = r^2
√1 = r
r=1
Diameter = 2 r = 2 (1) = 2 in
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?
A
$224.70
B
$524.30
C
$719
Answers
Answer:
b. 524.30
Step-by-step explanation:
a good method to finding percentages of numbers is to multiply both numbers which here would be 749 and 30 together then divide by 100 edit: to finish the answer you need to subtract the product of the two numbers which is 224.7 by the price beforehand to receive the total amount of 524.30
========================================================
Explanation:
If you save 30%, then you pay the remaining 70% which converts to the decimal form 0.70
70% of $749 = 0.70*749 = 524.30
----------
Or another way to look at it is to calculate how much you save
30% of 749 = 0.30*749 = 224.70
You save $224.70 and the final price is 749 - 224.70 = 524.30
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
Answers
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)\(\frac{x}{3}\)+6 > 12
⇒\(\frac{x}{3}\) > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ9
We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75+ years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude? Group of answer choices The data prove that, in the U.S., young men weigh about 4.9 kgs more on average than old men. The data suggest that young men weigh more on average than old men in the U.S., but that the difference in mean weights for the two groups is not statistically significant. The data provide strong evidence that young men weigh more on average than old men in the U.S. no conclusion is possible because we did not specify a significance level
Answers
Answer:
The data provide strong evidence that young men weigh more on average than old men in the U.S
Step-by-step explanation:
Given :
The null hypothesis ; H0 : μ1 = μ2
The alternative hypothesis ; H1 : μ1 > μ2
T score = 5.3 ; Pvalue = < 0.0001
The decision region :
If Pvalue < α ; We reject the Null
If Pvalue > α ; We fail to reject the Null
When the α - level isn't stated, we usually assume a α - level of 5%
However, even at lower alpha level of 1% = 0.01 ;
The Pvalue < α
Hence, we can conclude that there is significant evidence that there is difference in the mean weight of young men and old men in the U.S
how many legs totally do five horses, two people,three children and five dogs have
Answers
50 legs
EXPLANATION:-
Horses have 4 legs
There are 5 horses = 4*5 = 20 legs
Humans have 2 legs
There are 2 people = 2*2 =4 legs
There are 3 children = 2*3 = 6 legs
Dogs have 4 legs
There are 5 dogs = 4*5 = 20 legs
Therefore 20 + 4 + 6 + 20 = 50 legs
HOPE IT HELPS !!!!!!!!!!!!!!!!
MARK ME THE BRAINLIEST !!!!!!!!!!!!!!!!!!
write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
Read more about inequality at
https://brainly.com/question/32124899
#SPJ1
Find the PE ratio. Round to the nearest whole number.
Stock: Crown
Current Price per Share: $32.59
Annual Net Earnings per Share: $9.06
Answers
Answer:
4
Step-by-step explanation:
The current price per share is $32.59
The annual net earnings per share is $9.06
Therefore the PE ratio can be calculated as follows
= $32.59/$9.06
= 3.59
= 4 (to the nearest whole number)
Hence the PE ratio is 4
Refer to the given terms . A pattern defines the relationship between the first two terms . Determine the relationship and identify the missing term of the second pair , such that both the pairs are analogous . AZP : ZAR :: TXK :
Answers
The missing term in the second pair is YUL.
To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.
If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:
T + 1 = U
X + 1 = Y
K + 1 = L
Therefore, the missing term in the second pair is YUL.
The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
Learn more about sequence here:
https://brainly.com/question/28694302
#SPJ1
Multiply. Write your answer as a fraction in simplest form.
2/5 x 10/7
Answers
Answer:
1 29/35
Step-by-step explanation:
I think this is the answer
Use the following function to complete this question:
f(x)=(x-1)^3+5
Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below
Answers
The following is deduced from the equation f(x)=(x - 1)^3 + 5
Horizontal shift: 1 left
Vertical shift: 5 down
Vertical stretch factor: 1
Vertical compression factor: 1
Axis of reflection: -x + 6
Domain: all real numbers
Range: all real numbers
Inflection Point: (1, 5)
What is vertical stretch factor?The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.
The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.
Learn more about vertical stretch factor:
https://brainly.com/question/28353408
#SPJ1
please help me awarding brainliest!
Answers
Answer:
a
Step-by-step explanation:
because the rest aren't true
Answer:
A. because the rest are not true
kassim has a money box containing 100 mixed sh 5 and sh 10 coins with a total value of sh 600. How many of each type of coin does the box contain
Answers
Answer
90
Step-by-step explanation
600 divided by 100
600 / 100 (5+10)
In a line of boys,Peter is the 11th from either side of the line. how many boys are in the line 5pionts because its simple
Answers
Answer: 21
Step-by-step explanation:
A machine stamps 360 metal parts in 1/4 hour. Find the unit rate in parts per hour.
Answers
Answer:
1440 per hour
Step-by-step explanation:
Write the quotient of the two powers as a single power.
Answers
We have that in a quotient of two powers with the same base the exponent of the result is the substraction between exponents.
In this case, we have that:
\(\frac{4^3}{4^2}\)Since the base is 4, we can substract the exponents:
\(\frac{4^3}{4^2}=4^{3-2}=4^1=4\)Answer = 4
Please see my question in the attachment, thanks
Answers
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
Read more on vertical asymptotes and functions here: brainly.com/question/28184937
#SPJ1
The following shape has
1 pair of parallel sides. what is the area of the shape
Answers
The area of the following shape is 76 units.
What is a hexagon?
A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal.
The structure in the figure is hexagon in which two parallel lines are present.
These parallel lines are dividing this hexagon into three parts:
1. Rectangular part with length = 8 units and width = 7 units
2. Triangle of height 2 units.
3. Triangle of height 3 units.
We know,
1. Area of rectangle = L x B
Area of rectangle = 8 x 7
Area of rectangle = 56 units
2. Area of triangle 1 = 1/2 x base x height
Area of triangle 1 = 1/2 x 2 x 8
Area of triangle 1 = 8 units
3. Area of triangle 2 = 1/2 x base x height
Area of triangle 2 = 1/2 x 3 x 8
Area of triangle 2 = 12 units
So, area of hexagon = area of rectangle + Area of triangle 1 + area of triangle 2
Area of hexagon = 56 + 8 + 12
Area of hexagon = 76 units
Therefore, the area of the shape is 76 units.
Learn more about hexagon on:
https://brainly.com/question/23875717
#SPJ1
900,000-400,000 esitmate
Answers
Answer:
500,000
Step-by-step explanation:
9-4=5 just add the zeros
Answer:
aahhhh
Step-by-step explanation:
Three more than 4 times a number as in a expression
Answers
Answer:
4x + 3
Step-by-step explanation:
The x represents a number. And since we are multiplying the number by 4 we represent it as 4x. Then we want to add 3 to what we just created. 4x + 3. An expression is just the term with no equals sign.
A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?
A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp
Answers
Answer:
3 1/3 is the answer im pretty sure
how would i anwser this? help pls!
Answers
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
I WILL GIVE BRAINLIEST!!!! Whats 2y+3=-1(x-2) in standard form?
Answers
Answer:
x + 2y + 1 = 0
Step-by-step explanation:
2y+3 = -x + 2
x + 2y + 3 - 2 = 0
What would the 60 is x% of 12. Find the value of x.
Answers
Answer:
The value of x= 20
Step-by-step explanation:
I believe the question is ,"60% of x is us, find x"
So , if the percentage of x to 60 is 12.
60/100 * x = 12
0.6 *x = 12
Dividing both sides by 0.6
X= 12/0.6
X= (12/6) *(10)
X= 2*10
.x= 20
The value of x= 20
MULTIPLE CHOICE A thermometer is
accurate to +2°F. Which absolute value
equation can be used to find the greatest
and least possible temperatures if the
thermometer reading is 17°F?
Answers
The absolute value equation which could be used to obtain the greatest and least possible temperature values when the temperature reading is 17°F is (17 ± 2)°F
Thermometer accuracy = ±2°F Thermometer reading = 17°FThe least possible value of temperature can be calculated thus :
Thermometer reading - thermometer accuracy 17 - 2 = 15°FThe highest possible temperature can be calculated thus :
Themometer reading - thermometer accuracy 17 + 2 = 19°FHence, the absolute value equation which represents the scenario is (17 ± 2)°F
Learn more :https://brainly.com/question/15748955
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answers
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
please help me with this
Answers
Pls give brainliest
100 POINTS
Find the error(s) and solve the
problem correctly in the picture below
Answers
Change the third line only .
<TFS\(\cong \)<PFQReason--(Opposite angles are same )Amd at 4th line
\(\\ \tt\Rrightarrow ∆TFS\cong∆PFQ(ASA)\)
ProvedFind the product. 8 4²/7 × ₁5 15
Answers
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120