Answer:
4: <
5: -8,5,6,|-7|, 8
Step-by-step explanation:
For 4: These two bars |number| indicate absolute value. so instead of -6 > -8, its actually -6 < 8, since the absolute value of -8, is 8.
Same applies to 5, the |-7 | Is actually 7, so it goes -8,5,6,7,8, which is least to greatest.
What is the range of the graphed function?
0-5
0-4 Sy < 0
oo sys 4
o {0,1,2,3,4}
Answer:
Step-by-step explanation:
y equels 4
What is the height of the tree in the figure to the nearest tenth of a foot?
h
40°
75 ft
A certain population of bacteria doubles every 60 minutes.
Beginning with 50 bacteria in the culture, the population
can be represented by the function A (t) = 50(2),
where A (t) is the number of bacteria after t number of
hours.
Which of these is the appropriate domain for the
function A (t) in terms of the given context?
O A. All real numbers greater than or equal to 0
OB. All integers greater than or equal to 50
O C. All integers greater than or equal to 0
O D. All real numbers greater than or equal to 50
The correct choice is option A, "All real numbers greater than or equal to 0," as it encompasses the appropriate range of values for the time variable in the given context.
In the given context, the function \(A(t) = 50(2)^t\)represents the number of bacteria in the culture after t hours, where the population doubles every 60 minutes.
To determine the appropriate domain for the function A(t), we need to consider the practical limitations and restrictions of the problem.
Since time is measured in hours and the function represents the population at any given hour, it is reasonable to assume that t must be a non-negative real number.
We cannot have negative time or fractional hours in this scenario, as it wouldn't make sense to evaluate the population of bacteria at those points.
Option A, "All real numbers greater than or equal to 0," is the appropriate domain for the function A(t) in terms of the given context.
It allows us to consider all non-negative real values for t, meaning we can evaluate the function for any non-negative amount of time in hours.
Options B and C, "All integers greater than or equal to 50" and "All integers greater than or equal to 0," respectively, are not suitable domains because they restrict the values of t to integers only, while time can be measured in fractional hours or non-integer values.
Option D, "All real numbers greater than or equal to 50," is not an appropriate domain either, as it excludes values of t less than 50, which contradicts the fact that we can evaluate the function for any non-negative amount of time.
For similar question on range.
https://brainly.com/question/24326172
#SPJ8
An Oak tree can grow at a rate of 2 feet per year.
An Elm tree can grow as fast as 3 inches per month.
How much will each type of tree grow In 10 years?
An oak tree will grow 5 feet, and an arborvitae will grow 3.33 feet.
An oak tree will grow 20 feet, and an arborvitae will grow 30 feet.
An oak tree will grow 30 feet, and an arborvitae will grow 20 feet.
An oak tree will grow 3.33 feet, and an arborvitae will grow 5 feet.
Which expression represents the number of hours the mountaineer climbed? Step by step?
Answer:
Check Gautama the
Step-by-step explanation:
Recon Cellular Company charges its cell phone customers $19.95 a month for the first 60 minutes of air time plus $0.39 for each additional minute beyond 60 minutes. A) Write an equation for cost per month in terms of number of minutes of airtime. Assume you will talk at least 60 minutes per month. Remember to define any variables you use!B) Find the cost to talk for 155 minutes in one month.C) How long can you talk for $35 in one month?
Let 't' denote the additional minutes beyond 60 minutes.
It is given that there is a monthly fixed cost of $19.95 for upto 60 minutes.
And then there is a variable cost of $0.39 per minute after that.
Then the total cost per month (C) is given by,
\(TotalCost=FixedCost+VariableCost\Rightarrow C(t)=19.95+0.39t\)Thus, the equation for cost per month in terms of number of minutes of airtime, is obtained as,
\(C(t)=19.95+0.39t\)While studying a 100 square mile area of jungle, a researcher finds 50 monkeys. Predict how many monkeys might inhabit a 1,500 square mile jungle.
Answer:
750 monkeys (probable chance)
Step-by-step explanation:
100 : 50
100 square miles to a 2:1 ratio of 50 monkeys
Simply, insert the new area into the ratio to get the result.
1500 ---> 2:1
1500/2 = 750
1500:750
Thus, there would probably be 750 monkeys inhabiting a 1,500 square mile jungle.
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
7y +2-2y-9 x+12-x Simplified
Answer:
- 10 + 5y + 14
Step-by-step explanation:
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
Colton is building a new shed for his backyard. The shed has a right rectangular prism for the base and triangular prism for the roof component. Colton included the dimensions of the shed in his diagram.
1.) How much can Colton store inside the new shed? Explain your reasoning.
2.) Colton wants to paint the outside of the shed including the door to match his house. Explain how much paint Colton will need to paint the shed.
3.) A gallon of paint covers 200 square feet and cost $16.99.
-How many cans of pain are needed?
-How much will it cost Colton to paint the shed?
The volume Colton store inside the new shed is 640 cubic feet.
We are given that;
length=10, width=8, height=6
Now, we can calculate the volumes of each part:
Volume of base prism = lwh Volume of base prism = (10)(8)(6) Volume of base prism = 480 cubic feet
Volume of roof prism = Bh Volume of roof prism = (0.5)(8)(4)(10) Volume of roof prism = 160 cubic feet
Volume of shed = Volume of base prism + Volume of roof prism Volume of shed = 480 + 160 Volume of shed = 640 cubic feet
Therefore, by the given prism the answer will be 640 cubic feet.
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ1
Find the distance between the two numbers on a number line. Write your answer as a mixed number.
−7,−323
Answer:
316
Step-by-step explanation:
(-323) - (-7) = 316
m³×n=189 Find m and n
Answer:
m=3, n = 7
Step-by-step explanation:
Assuming m and n are integers, the following are the possible values of m and n
Let m = 1, then m³ = 1 and n= 189
If m = 2 we get 8n = 189 and 189/8 is not an integer so m ≠ 2
If m = 3, we get 27n = 189 and n = 189/27 = 7
Any higher integer values of m will not result in n being an integer and I am assuming m > 1 so the correct answer is m=3, n = 7
A sphere is cut into 8 congruent pieces. The radius of the
sphere is 8 centimeters. One piece is shown in the diagram,
What is the surface area of one piece of the sphere, as
shown in the diagram? Express the answer in terms .
Step-by-step explanation:
i hope this will help you!
Plz help mee I am bad at math
it would be option D
Answer:
c. 42 1/12
Step-by-step explanation:
sorry if it's wrong. this was an educated guess
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
For more questions on quadratic equation
https://brainly.com/question/30164833
#SPJ8
Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 11 x + 5 y = 2 EndLayout
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 11 x + 5 y = 2 EndLayout
Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:
y = 2(x - 4)² + 2.5x + 11y = 62.What is the quadratic equation?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:
y = a(x - 4)² + 2.
It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.
4 = a + 2.
a = 2.
Thus the equation is:
y = 2(x - 4)² + 2.
What is the linear equation?The linear equation is given by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The road connects points (–3, 7) and (8, 2), hence the slope is given by:
m = (2 - 7)/(8 - (-3)) = -5/11.
Then:
y = -5/11x + b.
When x = 8, y = 2, hence we use it to find b as follows:
2 = -40/11 + b
b = 62/11.
Then the equation is:
y = -5/11x + 62/11.
Multiplying by 11:
11y = -5x + 62.
5x + 11y = 62.
The system of equations is:
y = 2(x - 4)² + 2.5x + 11y = 62.More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Answer:
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
Step-by-step explanation:
The answer above is correct.
Please help. How can i find the volume of cylinder
THE # are the blue and grey
The volume of the cylinder would be 2120.6\(units^3.\)
To find the volume of a cylinder, you need to use the formula:
Volume = π x \(radius^2\) x height
Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.
To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.
For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:
Volume = π x \(radius^2\)x height
Volume = 3.14159 x\(5^2\)x 27
Volume = 2120.6 \(units^3\)
Therefore, the volume of the cylinder would be 2120.6\(units^3.\)
for such more question on volume of the cylinder
https://brainly.com/question/6204273
#SPJ11
100 Points! Multiple choice Geometry question. Photo attached. Thank you!
Answer:
2. C. 50.3 ft²
3. A. 75.4 ft²
Step-by-step explanation:
The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
r is the radius of the baseh is the height of the cylinderThe total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:
Total Surface Area = 2πrh + 2πr^2
Where:
r is the radius of the baseh is the height of the cylinder2.
r=2 ft
h=4 ft
Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²
3.
Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2
=50.3+25.1=75.4 ft²
What is happening to the pieces (units) when the numerator and denominator are getting larger?
I NEED HELP!!!!!!
Answer:
the number itself, (units) are getting bigger
Step-by-step explanation:
find the equation of the line , use exact numbers
y=1/2x-3
typing this to take up space ignore this
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
answer is a
i think question is about implicit differentiation
The x-coordinates of the points on the curve where the tangent line is horizontal will be option A.
How to explain the coordinate(x² + y²)² = 4(x² – y²)
x⁴ + 2x²y² + y⁴ = 4x² - 4y²
y⁴ + 2x^2y² + 4y² - 4x² = 0
Now we can use implicit differentiation to find the derivative of y with respect to x:
4y³(dy/dx) + 4xy² + 4y(dy/dx)x² + 8y(dy/dx) - 8x = 0
Simplifying this expression, we get:
4y³(dy/dx) + 4xy² + 4xy²(dy/dx) + 8y(dy/dx) - 8x = 0
(dy/dx)(4y³ + 4x²y²) + 8y(dy/dx) = 8x - 4xy²
(dy/dx)(4y³ + 4x^2y² + 8y) = 4x(2-y²)
(dy/dx) = 4x(2-y²)/(4y³ + 4x²y² + 8y)
Based on the information, x-coordinates of the points on the curve where the tangent line is horizontal will be option A.
Learn more about coordinate on
https://brainly.com/question/17206319
#SPJ1
Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1
For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.
Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.
Answer:
The margin of error is \(E = 6.9 \)
The 95% confidence interval is \( 26.5 < \mu < 40.3 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is \(\mu = 33.4 \ ng/ml\)
The standard deviation is \(\sigma = 19.6 \ ng/ml\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96 * \frac{19.6 }{\sqrt{31 } }\)
=> \(E = 6.9 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \( 33.4 - 6.9 < \mu < 33.4 + 6.9 \)
=> \( 26.5 < \mu < 40.3 \)
After simplifying, how many terms are there in the expression 2x - 5y+3+ x?
3
4
5
6
Answer:
3
Step-by-step explanation:
Adding 2x and x gets you 3x-5y+3. Counting each term gives you three seperate terms, meaning your answer is 3.
Answer:
answer is 3
Step-by-step explanation:
adding 2x and x gets you 3x-5y+3
Answer if your smart Zoey can text 90 words in 4 minutes. At this rate, how many minutes would it take her to text 45 words?
Answer:
2 minutes
Step-by-step explanation:
90 words÷4 minutes
=22.5 words
22.5 words×2 minutes
=45 words
If Melinda wanted to build a patio in her backyard that was 14 feet long, 6 feet wide
and 4 inches deep using pervious concrete mix that is 4 parts aggregate to 4.5 parts
loose cement, with some water added then how many cubic feet of aggregate would
she need to build the walkway?
Round the final answer to the hundredths place. If you answer doesn't have a
hundredths place include zeros so that it does
The volume of aggregate that she needs to build the patio is 13.18 ft^3
How many cubic feet of aggregate would she need to build the walkway?
We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.
Rememeber that:
1ft = 12 in
Then:
4 in = (4/12) ft = (1/3) ft
Then the volume of the backyard is:
V = (14ft)*(6ft)*(1/3 ft) = 28ft^3
Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.
Note that:
4 + 4.5 = 8.5
How many times we have 8.5 in 28?
28/8.5 = 3.294
Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:
4*3.294 ft^3 = 13.18 ft^3
The volume of aggregate that she needs to build the patio is 13.18 ft^3
If you want to learn more about volumes:
https://brainly.com/question/1972490
#SPJ1
Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
learn more about odd and even numbers: https://brainly.com/question/2263958
#SPJ1