Answer:
y = 3x + 5
Step-by-step explanation:
Slope intercept form is
y = mx + b
where m is the slope and b is the y-intercept
Given m = 3 and b = 5
y = 3x + 5
He observes that the cells triple every 3 hours. If he starts with 15 cells, how many will he have in 24 hours?
Answer:
98,415
Step-by-step explanation:
24/3=8
15 x 3x3x3x3x3x3x3x3 =98,415
Is 2x3 is a polynomial?
In 2x^3, 3 is the greatest degree of the exponent. 2x^3 is a cubic polynomial as a result.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An example of a polynomial of a single indeterminate x is x² − 4x + 7.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.
For instance, the polynomial 3x+2x-5.
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
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Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Number of years
1
2
3
Car 1 (value in dollars)
38,000
32,000
26,000
Car 2 (value in dollars)
38,000
32,300
27,455
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Autumn wants to purchase a car that would have the greatest value in 6 years. Will there be any significant difference in the value of either car after 6 years? Explain your answer, and show the value of each car after 6 years. (4 points)
(10 points) ALGEBRA 1 only
Car 1
26000 - 32000 = 32000 - 38000 = -6000Since the difference is common this is a linear functionCar 2
32300/38000 = 27465/32300 = 0.85Since the ratio is common this is an exponential functionPart BCar 1
V(x) = 38000 - 6000xCar 2
V(x) = 38000*0.85ˣPart CFind V(6) for both cars and compare
Car 1
V(6) = 38000 - 6*6000 = 2000Car 2
V(6) = 38000*0.85⁶ = 14331.68As we see the difference is significant and car 2 has much greater value
Katelyn needs to cover her sofa cushions. If each cushion is a 10 in. by 11 in. by 4 in. rectangular prism, and there are 3 cushions that make up her sofa, determine how many square inches of fabric she needs to cover ALL the cushions on the sofa.
Answer:
1,164 in²
Step-by-step explanation:
the area of 1 sofa cushion =
2× ( 10×11 + 10×4 + 11×4)
= 2 × (110+40+44)
= 2×(194)
= 388 in²
the fabrics she needs to cover 3 sofa cushions =
3 × 388 = 1,164 in²
if f(x) =mx + c , find f(1)=5 and (-2) =1
Answer:
f(4) = 11 → mx + c = 11 → 4m + c = 11.
f(5) = 13 → mx + c = 13 → 5m + c = 13.
Subtract #1 from #2, giving m = 2.
Then, for x=4, mx + c = 11 → 2(4) + c = 11 → c = 3.
Finally, for x=2, mx + c = 2(2) + 3 = 7.
Answer:
sorry
Step-by-step explanation:
Which of the following are irrational numbers?
Choose two correct answers.
3.05
√17
√27
√81
Answer:√17
√81
√27
This 3 numbers are irrational number
Answer:
17 and 27 are irrational
Step-by-step explanation:
How to convert log2 to log10?
To convert the log2 to log10, we can use the convert of base formula for logarithms. The change of base formula for logarithms is as written:
log b(x)=logc(x) / logc(b)
By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:
log2(x)=log10(x)/log10(2) = log(x)/log (2)
This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.
The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is presented as “log e e”.
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A bookstore had 90 copies of a magazine. Yesterday, it sold 2/5 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?
Answer:
24 magazines
Step-by-step explanation:
Okay, I hope this is right...
So I did
90 * 2/5= 36
and then,
36 * 2/3= 24
What is the quotient? for 692 divided by 16
Answer:
43.25
Step-by-step explanation:
Need help on this one...
Suppose a city with a population of 800,000 has been growing at a rate of 8% per year if the street continues find population of the city in 11 years
Answer: 1,865,311 people in 11 years
800,000(1+.08)^11
1,865,311 population in 11 yeas
Does a quadratic graph have an inverse?
The inverse of a quadratic graph is a square root function. To graph the inverse, we reverse the domain and range.
What is a quadratic graph?The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points.
On the graph, it is either the highest or lowest point.
We can imagine it as the parabola's endpoint.
A square root function is the inverse of a quadratic function.
We switch the domain and range in order to graph the inverse.
The graph has the same structure but has been rotated to have the original function's domain and range switched.
Therefore, the inverse of a quadratic function is a square root function. To graph the inverse, we reverse the domain and range.
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A right triangle has the height of 20 cenimeters and a base of 10 cenimeters what is the area of the triangle
Answer:
100
Step-by-step explanation:
Area of a triangle is b*h/2
So it's 10*20/2 which is 100
what's the answer to the pic
A. 3 2/3
B. 2 2/3
C. 3 1/3
D. -7 1/3
Answer: 2 2/3
Step-by-step explanation:
-2 1/3-(-5)
-7/3-(-5)
8/3
2 2/3
A website has a daily trivia contest. On mondays, wednesday, fridays, you have 1 ½ hours to submit an answer. On tuesdays and thursdays you have 1 ¼ hours. On saturdays and sundays you have only ¾ of an hour. How many hours each week do you have to submit an answer?
Answer:
8 1/2 hrs/wk
Step-by-step explanation:
3(1 1/2 hrs) plus
2(1 1/4 hrs) plus
2(3/4 hr)
The LCD here is 4. Convert 3(1 1/2 hrs) to 3(1 2/4 hrs), so that we now have:
3(1 2/4 hrs) = 3 6/4 hrs
+2(1 1/4 hrs) = 2 2/4 hrs
+2(3/4 hrs) = 6/4 hrs
-------------------------------------
5 14/4 hrs, or
5 + 3 2/4 hrs, or
8 1/2 hours/week
The logo on a recycling bin resembles an equilateral triangle with side lengths of 6 centimeters. Approximate the area of the logo.
Answer:
9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²
Step-by-step explanation:
Use the formula for the area of an equilateral triangle, A = [tex]\frac{\sqrt{3} }{4}[/tex]a²
Plug in the side length, 6 cm, as a in the formula:
A = [tex]\frac{\sqrt{3} }{4}[/tex](6²)
A = [tex]\frac{\sqrt{3} }{4}[/tex](36)
A = 9[tex]\sqrt{3}[/tex]
So, the area of the logo is 9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²
What is the discriminant? What is the type and number of solutions?
-8x² +4x-1=0
Answer:
x= 1/4 - 1/4 x= 1/4 + 1/4
Step-by-step explanation:
Answer:
Type: (+ ve)
Number of solutions: 2
Step-by-step explanation:
Discriminant:The discriminant of the quadratic formula is the section under the radical. It tells us whether there are two solutions, one solution, or no solutions.D = b² - 4acWe are given an equation (-8x² + 4x - 1 = 0)
Now, change the sign
-8x² + 4x - 1 = 0
8x² - 4x + 1 = 0
Here,
a = 8b = (-4)c = 1Now, discriminant
D = b² - 4ac
D = (8)² - (4)(8)(1)
D = 64 - 32
D = 32 > 0
Here, 32 is greater than 0 so, it has two solutions.
Extra Information:b² - 4ac > 0 ↬ (+ ve), 2 solutionsb² - 4ac = 0 ↬ (= 0), 1 solutionb² - 4ac < 0 ↬ (- ve), No solutionWrite an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The first function is linear, with a y-intercept of 20, and a slope of 4:
S(x)=4x+20
The second function is exponential and has a multiplier of 2 and an initial value of 3:
J(x)=3(2)x
The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
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What is the surface area of the right rectangular prism with square bases
pictured below with measurements a = 5 cm, b = 8 cm?
Answer:
210 cm²
Step-by-step explanation:
SA = Ph + 2B
where SA = surface area
P = perimeter of the base
h = height of the prism
B = area of the base
SA = [(8 + 8 + 8 + 8)(5) + 2(5²) ]cm²
SA = 210 cm²
Answer:
288 cm^2
Step-by-step explanation:
Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem
On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
11g +4= 3r-6
g = 0
3r = -10
r = -10/3
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How can you determine if the length of the 3 sides would make a triangle?
we can use the Triangle inequality Theorem a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side
How to Determine if Three Side Lengths Are a Triangle?It's simpler than it seems to determine whether a triangle has three side lengths. The Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side, will suffice. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.
1 . Triangle Inequality Theorem
smaller than the total of the first two sides. You will have a valid triangle if this holds true for each of the three possible combinations. To confirm that the triangle is feasible, you will need to go through each of these combinations one at a time. Theorem a+b > c, a+c > b, and b+c > a can alternatively be thought of as an inequality. The triangle has sides of lengths a, b, and c.
In this case, a, b, and c are each equal to seven.
2. Check to see if the sum of the first two sides is greater than the third
Check to see if the sum of the first two sides is greater than the third adding the sides a and b yields 17, which is larger than 5, or 7 plus 10. It can alternatively be considered as 17 > 5.
3. Check to see if the sum of the next combination of two sides is greater than the remaining side
just see if the sum of sides a and c are greater than the side b.[4] This means you should see if 7 + 5, or 12, is greater than 10. 12 > 10,
4. Check to see if the sum of the last combination of two sides is greater than the remaining side.
Check to see if side b and side c added together are greater than side a. To accomplish this, you must determine whether 10 Plus 5 is greater than 7. The triangle is complete on all sides since 10 + 5 = 15 and 15 > 7.
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1 Find the sum: 34.7 + 7.5 = ? A. 42.2 OB. 4.22. OC. 422 46
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
add 34.7 and 7.5 by lining up the decimal points and then adding the top and bottom
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
16/63
Step-by-step explanation:
The sum of the interiors angle of any polygon is 360°
Answer:
It depends on the # of sides
3 sides = 180 degrees
4 sides = 360 degrees
5 sides = 540 degrees
6 sides = 720 degrees
7 sides = 900 degrees
8 sides = 1080 degrees
9 sides = 1260 degrees
10 sides = 1440 degrees
The rectangle below represents the base of a rectangular prism. If the
height of the prism is 6 centimeters, find the total volume of the prism.
Answer:
64
Step-by-step explanation:
hiiii
to find volume the formula is
base * width * height.
so all we would have to do here is:
5 1/3 * 2 * 6=64.
hope this helped you :)
Suppoe that the tatitical power of a tudy deign i 80% to detect a treatment effect of 0. 5 tandard deviation, and that take-up of the program i 100%. Other thing equal, do we have more, le, or the ame amount of power to detect an effect ize of 0. 4 SD?
The correct option is option C which states that , less than 80% power to detect the standard deviation is 0.4.
We know that the power is less and the effect size is small therefore we can say that all other things given as equal, it's harder to detect than the larger effect. As a result power is reduced.
Statistical power is a measure of research efficiency that is estimated before the study begins . This is done so as to predict the likelihood of discovering an actual effect rather than receiving a false negative result or, in the worst case scenario, overestimating the effect by identifying noise in the data.
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what is the value of the expression below when b = 8.5?
14b
A. 22.5
B. 112.5
C. 119
D. 119.5
Use the drop-down menus to complete each equation so the statement about its
solution is true.
Answer:
Step-by-step explanation:
6,000mL=............L
Step-by-step explanation:
1L=1000mLso 6000mL÷1000mL*1L=6LI hope it helps have a great weekend!!A class is learning about proportions and ratios, so the teacher decides to use the data about students in the local high school. There are 500-600 students and 29 - 32% of the student body participates in athletics. Which of the following is the most reasonable estimate of the number of students who are considered athletes
Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.
What do you mean by estimate?In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.
mid-value of 500-600 = 550
average % = 30.5%
Athletes number = 30.5% of 550
=168
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A bag of strawberry candy takes 2 2/5 ounces of strawberries to make.
Answer:
6 2/5 ounces
Step-by-step explanation:
2 6/9 x 2 2/5 = 6 2/5
Hope that helps! :)
-Aphrodite