Answer: 0.007 and 2.9
Step-by-step explanation:
1) 0.07 = 10m
divide by 10 on both sides
= 0.007
2) 10.1 = t + 7.2
subtract 7.2 from both sides
2.9 = t
The values are;
1. m = 0. 007
2. t = 2.9
How to simply the expressionsFirst, we need to know that algebraic expressions are defined as expressions that are made up of constants, factors, variables and coefficients.
From the information given, we have that;
1. 0.07 = 10m
First, divide both sides by the coefficient of m, we get;
m = 0.07/10
Divide the values
m = 0. 007
2. 10.1 = t + 7.2
collect like terms
't = 10. 1 - 7. 2
subtract the values
t = 2.9
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solve the inequality. (x-3)(x-4)/(x-5)(x+6)^2>0
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Consider the numerator;
When (x - 3)(x - 4) = 0
x = 3 or x = 4.
When x > 3 and < 4 (x - 3)(x- 4) will be negative and the denominator (x - 5(x + 6)^2 will be negative so the function will be positive.
So 3 < x < 4 is a part of the answer.
When x > 5 the denominator will be positive and so will be the numerator.
So x > 5 also is a solution.
When x < 3 the numerator will be positive and the denominator will be negative so the function will be negative.
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
(Graph Shoen in picture above)
Data collection is the process of gathering and measuring information on variables of interest. strawberry yoghurt makes up less than 1/3 of their sales
What is data collection?
Data collection is the process of gathering and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated research questions, test hypotheses, and evaluate outcomes.
The data collection component of research is common to all fields of study including physical and social sciences, humanities, business, etc. While methods vary by discipline, the emphasis on ensuring accurate and honest collection remains the same.
In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.
Hence strawberry yoghurt makes up less than 1/3 of their sales
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The question deals with interpreting graphical data from a frozen yogurt store, analyzing statistical data to determine independence of variables, and understanding sales and cost curves in relation to profit in a business case.
Explanation:The student is asking about interpreting graphs related to customer purchase behavior from a frozen yogurt store and analyzing statistical data in various situations. For instance, when analyzing whether the geographic location is independent of favorite ice cream flavors or discussing the relationship between store temperature and energy consumption, understanding and interpreting graphical data is crucial. In terms of sales and costs for a raspberry farm, understanding the graph where the total cost curve intersects the vertical axis indicates fixed costs, and the upward slope shows variable costs in relation to revenue, which identifies profit maximization points. These analyses are part of mathematical statistics, which is used to making informed decisions in a business context.
What is the range of f(x) = 3/4x -4
{y | y > –4}
{y \ y > 3/4}
{y | y < – 4}
{y | y < 3/4}
Answer:
The range is the resulting y-values we get after substituting all the possible x-values.
For the given function : [tex]f(x) = \frac{3}{4x} -4[/tex]
See the attached figure.
The zeros of the denominator at x = 0
The domain is: (-∞,0)∪(0,∞)
The range of the function is the domain of the inverse function of f(x)
y = 3/(4x) - 4
y + 4 = 3/(4x)
4x = 3/(y+4)
[tex]x=\frac{3}{4(y+4)}[/tex]
The zeros of the inverse function:
4(y+4) = 0
y + 4 = 0
y = -4
∴ The range is (-∞,-4)∪(-4,∞)
So, the answer is {y | y > –4} ∪ {y | y < – 4}
=========================================
Note: If the given function is : [tex]f(x) = \frac{3}{4} x-4[/tex]
It will be first degree polynomial function.
Both of the domain and the range = all real numbers R
Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He covered a total distance of 51 miles. His speed when biking was 1.6 times his speed when running. Find Cruz’s biking and running speeds.
The speed in running is 10 mph and speed in biking is 16 mph
Solution:
Given that, Cruz is training to compete in a triathlon
He left his house at 6:00 and ran until 7:30
Time taken for running = 1.5 hours
Then he rode his bike until 9:45
7: 30 to 9: 45 is biking time
Time taken for biking = 2.25 hours
He covered a total distance of 51 miles
Total distance = 51 miles
Let "x" be the speed in running
His speed when biking was 1.6 times his speed when running
Speed in biking = 1.6x
Total distance = distance in running + distance in biking
The distance is given by formula:
[tex]distance = speed \times time[/tex]
Therefore,
[tex]Total\ Distance = x \times 1.5 + 1.6x \times 2.25\\\\51 = 1.5x + 3.6x\\\\5.1x = 51\\\\x = 10[/tex]
Thus speed in running is 10 miles per hour
Speed in biking = 1.6x = 1.6(10) = 16
Thus speed in running is 10 mph and speed in biking is 16 mph
Need help ASAP please and thank you
Answer:
X=4
Step-by-step explanation:
The angle CA equals 4. The angle AB are equal to the angle CA therfore, the outcome of x=4.
Find two fractions that are not equivalent to 2/4 but that are equivalent to each other
Answer:
1/5 and 2/10
Step-by-step explanation:
f(x) = x − 8, g(x) = x2 Find (f + g)(x)
[tex](f+g)(x) \text{ is equal to } x^2+x-8[/tex]
Solution:
Given that the functions are:
[tex]f(x) = x-8\\\\g(x)=x^2[/tex]
We have to find the value of (f + g)(x)
By operations on functions, we know that,
(f + g)(x) = f (x) + g(x)
Thus (f + g)(x) can be found by adding both the given functions
[tex](f + g)(x) = f (x) + g(x)\\\\(f + g)(x) = x - 8 + x^2\\\\(f + g)(x) = x^2+x-8[/tex]
Thus (f + g)(x) is equal to [tex]x^2+x-8[/tex]
Daniel Capo
Solve System of Equations from Context
Jan 21,7:26:04 PM
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and
each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number
of rides she went on is 3 more than the number of games she played. Determine the
number of games Sydney played and the number of rides Sydney went on.
Sydney played
games and went on
rides rides.
Submit Answer
attempt 1 out of 2
Tyne here to search
Answer:
The number of games Sydney played is 5 and the number of rides she went on is 8.
Step-by-step explanation:
Given:
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played.
Now, to find the number of games Sydney played and the number of rides she went on.
Let the number of games she played be [tex]x.[/tex]
As given, the number of rides she went on is 3 more than the number of games she played.
So, the number of rides be [tex]x+3.[/tex]
Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival.
According to question:
[tex]1.25x+2.25(x+3)=24.25[/tex]
[tex]1.25x+2.25x+6.75=24.25[/tex]
[tex]3.50x+6.75=24.25[/tex]
Subtracting both sides by 6.75 we get:
[tex]3.50x=17.50[/tex]
Dividing both sides by 3.50 we get:
[tex]x=5.[/tex]
Number of games = 5.
So, number of rides:
[tex]x+3\\=5+3\\=8.[/tex]
Therefore, the number of games Sydney played is 5 and the number of rides she went on is 8.
Can someone help me on this question plz
Karen measured 20 cm between two points on the map below.
What is the actual distance between the two points at the campground?
A:150 miles
B: 25
C: 50
D:100
Answer:
D:100
Step-by-step explanation:
20x5 cm.
Actual distance between two points is 100 miles
Given that;Distance between two points = 20 cm
Scale factor = 1cm = 5 mile
Find:Actual distance between two points
Computation:Actual distance between two points = 20 × 5
Actual distance between two points = 100 miles
So, Option "D" is the correct answer to the following question.
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A magazine as states that 4 out of 7 dentists prefer flash toothpaste.If 1400 dentists were surveyed, how many dentists recommended Flash toothpaste
800 dentists recommended Flash toothpaste
Solution:
Given that, magazine as states that 4 out of 7 dentists prefer flash toothpaste
1400 dentists were surveyed
To find: Number of dentists recommended falsh toothpaste
Let "x" be the number of dentists recommended falsh toothpaste
Then, we can say,
4 out of 7 equals x out of 1400
[tex]\rightarrow \frac{4}{7} = x \times 1400\\\\\rightarrow x = \frac{4}{7} \times 1400\\\\\rightarrow x = 800[/tex]
Thus 800 dentists recommended Flash toothpaste
You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir?
Explain. Write your answer in simplest form.
PLEASEEEE HELP!!
Answer:
The answer is that it requires 4/5 of your total amount of tickets
Step-by-step explanation:
You break it down originally into fourths, 25x4 = 100% or 100. 125% would be 125 tickets since its by percentage. you'd have a remaining 25 tickets after purchase
Answer:
It is 4/5
Step-by-step explanation:
dont worry
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
0.15
3
1
-3
Answer:
The minimum value for [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].
Step-by-step explanation:
Given function is [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]
We need to find the maximum value or the minimum value for the function.
Now, differentiate [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] w.r.t [tex]x[/tex].
[tex]f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\[/tex]
[tex]f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)[/tex]
Now, we will equate [tex]f'(x)=0[/tex] to find critical point.
[tex]0.3(x+1)=0\\x=-1[/tex]
Plug this critical point in to the function [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] we get,
[tex]f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3[/tex]
Also, [tex]f''(x)=0.3[/tex] which is positive, We have minimum value.
So, the minimum value for [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].
-x3+3x2+5x+1
Evaluate when x=-12
Can someone help me I don’t understand this :(
Answer:
2102
Step-by-step explanation:
Evaluate -x³+3x²+5x+1 when x = -12
simply substitue x = -12 into the equation
-x³+3x²+5x+1 when x = -12
= - (-12)³ + 3(-12)² + 5(-12)+1
= -(-1728) + 3(144) - 60 + 1
= 1728 + 432 - 60 +1
= 2102
To evaluate the polynomial -x^3 + 3x^2 + 5x + 1 for x = -12, we substitute -12 for x and simplify, resulting in a final value of 2101.
The student is asking to evaluate the polynomial -x^3 + 3x^2 + 5x + 1 when x = -12. To solve this, we substitute -12 for x in the polynomial and simplify:
Substitute x with -12: -(-12)^3 + 3(-12)^2 + 5(-12) + 1Simplify the equation: -( -12 x -12 x -12) + 3( -12 x -12) + 5( -12) + 1Calculate the powers: -(-1728) + 3(144) - 60 + 1Multiply and add: 1728 + 432 - 60 + 1Combine like terms: 1728 + 432 - 60 + 1 = 2101Therefore, when x = -12, the polynomial evaluates to 2101.
27^4–9^5 3^9 is divisible by 25
Answer:
no
Step-by-step explanation:
If you mean
27^4 - 9^5·3^9 = -1161730026
it has no factors of 5, so cannot be divisible by 25.
__
If you mean ...
(27^4 -9^5)/3^9 = ((3^3)^4 -(3^2)^5)/3^9 = 3^10(3^2 -1)/3^9 = 3(9-1) = 24
it is not divisible by 25, either.
Answer:
[tex]3^9(25)[/tex]
Step-by-step explanation:
Let's rewrite all values with a base of 3:
[tex]27^4 = (3^3)^4 = 3^{12}\\\\\\9^5 = (3^2)^5 = 3^{10}\\\\\\3^9 = 3^9[/tex]
Now, let's factor the equation: [tex]3^{12} -3^{10} + 3^{9}[/tex]
[tex]\\3^{12} -3^{10} + 3^{9}\\\\= 3^9(3^3 - 3 + 1)\\\\= 3^9(27 - 2)\\\\= 3^9(25)[/tex]
Your answer is [tex]3^9(25)[/tex]
At Joe's Print Shop, the amount of time it takes to complete a print job can be represented by t = 45 + 5p where t is
the time, in seconds, and p is the number of pages being printed. At Jerry's Print Shop, the amount of time it takes
to complete a print job can be represented by t = 30 + 6p where t is the time, in seconds, and p is the number of
pages being printed. What is the maximum number of pages for which the amount of time will be shorter to print
at Jerry's Print Shop than at Joe's Print Shop?
A. 11
B. 12
C. 13
D. 14
E. 15
The maximum number of pages for which the time to print at Jerry's Print Shop is less than at Joe's Print Shop is 14.
Explanation:This question deals with comparing two linear equations [tex]t1 = 45 + 5p[/tex] for Joe's Print Shop and t2 = 30 + 6p for Jerry's Print Shop. To determine the maximum number of pages (p) where Jerry's shop is quicker than Joe's, we need to find the value of p where t2 < t1.
Setting the two equations equal to each other, we get:
[tex]45 + 5p = 30 + 6p,[/tex]
Solving this equation, we find that p = 15.
However, p=15 is when the time at both shops is the same. Since we want the number of pages for which Jerry’s is less than Joe's, we should choose the next value lower, which is p=14.
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Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
Click the arrows to choose an answer from each menu.
To determine the solution arithmetically, first
Choose...
and then
Choose...
To determine the solution algebraically, set up and solve the equation
Choose...
Each package contained Choose...
pencils.
Answer:
there were 12 pencils in each packet
Answer:
-add 8 and 40
-divide by 4
-not sure
-12
Step-by-step explanation:
NEED HELP PLEASE!!!!
Answer:
The answer is 2.414213562
Step-by-step explanation:
The answer is shown in the image attached.
Find the median for the following set of data: 41, 99, 37, 52, 39, 17, 95 a. 44 c. 53 b. 37 d. 41
Answer:
41 (d)
Step-by-step explanation:
Mo is thinking of a number. Eleven more than one third of the number is -1. Find mo’s number.
Answer:
n = -36
Step-by-step explanation:
Let the number be n.
Then n/3 + 11 = -1
Solve for n/3, and then for n:
Subtract 11 from both sides, obtaining
n/3 = -12
Multiplying both sides by 3 yields:
n = -36
The required number that Mo thought of is -36.
A number is determined that Mo is thinking of a number. 11 more than 1/3 of the number is -1.
What is an algorithm?in mathematics it is used to decode the statement into mathematical expression to evaluate problems.
Let the number be x and this number is 11 more than 1/3 of that number equal to -1.
⇒ 1/3(x)+11= -1
1/3(x) = -12
x = -36
Thus, the required number that Mo thought of is -36.
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Suppose a refrigerator that sells for$700 costs $85 a year for electricity. Write an expression for the cost to buy and run the refrigerator for x years.
Answer:
Step-by-step explanation:
700 + 85x <=== ur expression
How do dhhdhdbsjjajsd
15 POINTS
question 9
A student finds the slope of the line between (14, 1) and (18, 17). She writes 1 - 17 over 18 - 14. What mistake did she make?
a.
She should have added the values, not subtracted them.
b.
She did not keep the order of the points the same in the numerator and the denominator.
c.
She mixed up the x- and y-values.
d.
She used y-values where she should have used x-values.
Answer:
D
14,1
x1 y1 18,17
x2 y2
17-1 =16/12
18-4
Answer:
b.
She did not keep the order of the points the same in the numerator and the denominator.
Step-by-step explanation:
Divide. Express your answer in simplest form.
2 1/2divide2 1/6
Answer:
Step-by-step explanation:
form.
2 1/2divide2 1/6
= 5/2 ÷ 13/6
= 5/2 × 6/13
= (5×3)/13
= 15/13
= 1 2/13
Answer:
1 2/13.
Step-by-step explanation:
2 1/2 / 2 1/6
= 5/2 / 13/6
= 5/2 * 6/13
= 30/26
= 15/13
= 1 2/13
=
A person with a monthly income of $1850 pays $550 a month rent. What percent of the salary is spent on rent?
Answer:
33%
Step-by-step explanation:
hope this helps :)
Answer:
it is 33% thank you
Step-by-step explanation:
hope this helps ,':) XD
Solve the proportion. Show all work. 2x/3=20/5
Answer:
2x/3 = 4
2x = 4*3
2x = 12
x = 12/2
x = 6
Hope it helps...
How many times does 7 go into 2,400
Answer:
about 324 times.
Step-by-step explanation:
2400/7
342.857142857
Which data set below has the weakest correlation?
Answer:
C.
Step-by-step explanation:
I just got it right
A nutrition label states the item contains 16% of the daily recommended carbohydrates. Rewrite this percent as a fraction in the simplest form.
Answer: 4/25
Step-by-step explanation:
16% = 16/100 both can be divided by 4 so 16/4= 4, and 100/4=25. So 16%=4/25
Answer:
4 / 25
Step-by-step explanation:
The question is simplying request you simplify 16/100 to it's lowest form.
From the question,
The Carbohydrates recommended contents = 16/100
To Simplify this to the lowest form, we die de through by 4.
= (16/4) / (100/4)
= 4 / 25
18 is what percentage of 25
Answer:
Step-by-step explanation:
72%
Answer: 72%
Step by Step Explanation:
1. We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=25
2) x%=18
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 18 is what percent of 25
100%/x%=25/18
(100/x)*x=(25/18)*x - we multiply both sides of the equation by x
100=1.38888888889*x - we divide both sides of the equation by (1.38888888889) to get x
100/1.38888888889=x
72=x
x=72
now we have:
18 is 72% of 25
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(-7,-5), B(-7, 6), C(-4,6), and D(-4,-5).
Given these coordinates, what is the length of side CD of this rectangle?
The length of side CD is 11.
To find the length of side CD, we can use the distance formula, which is as follows:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are (-4, -5) and (-4, 6). Substituting these coordinates into the distance formula, we get:
distance = √(((-4) - (-4))^2 + ((6) - (-5))^2)
distance = √(0^2 + 11^2)
distance = √121
distance = 11
Therefore, the length of side CD is 11.
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