need help with #7 a and b. i’m in Algebra 1 and this is lesson 5 Exponential Algebra and Functions.
Answers
There is no upper limit if the ratio raises x to a higher power. The limit is 0 if the ratio causes the power of x to be reduced to zero.
A ratio is what?A ratio is an expression for an ordered pair of numbers, a and b, where b is not equal to zero and the expression is written as a/b. A ratio is created by combining two ratios. Assuming a ratio of one boy to three girls, this would suggest that 3/4 of the population is female and only 1/4 is male. A part can be an amount, a percentage, or the difference between two or more objects.
Here,
The ratio of, say, the highest-degree words serves as the upper bound as x grows.
There is no upper bound on how much the ratio can raise the power of x. The limit is 0 if the ratio causes the power of x to be reduced to zero.
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Related Questions
Q 9-1 Pythagorean Theorem and Trig
A girl is 20 ft. east of her school and her bike is 21 ft. south of the school. How far is she from her bike? Round to the nearest hundredth.
Answers
Answer: 29 ft
Step-by-step explanation:
Based on the description we are given. we know that we can form a right triangle, where 20 and 21 are the legs. The length from the girl to the bike would be the hypotenuse. To do this, we need to use the Pythagorean Theorem, which is [tex]a^2+b^2=c^2[/tex], where a and b are legs, and c is hypotenuse. We can go ahead and plug them in.
[tex]20^2+21^2=c^2[/tex] [exponent]
[tex]400+441=c^2[/tex] [add]
[tex]841=c^2[/tex] [square root both sides]
[tex]c=29[/tex]
Therefore, the distance from the girl to the bike is 29 ft.
Identify like terms
24a - 12b + 4 - 8a
Answers
Answer:
The like terms in this expression are 24a and -8a, and -12b and 12b.
Step-by-step explanation:
The like terms 24a and -8a can be combined by adding the coefficients and the variables, which gives us 24a - 8a = 16a.
The like terms -12b and 12b can be combined by adding the coefficients and the variables, which gives us -12b + 12b = 0.
So the like terms in this expression are 24a, -8a, and -12b, 12b.
If you were to simplify this it would be
16a-12b+4
What does ln () do in Excel?
Answers
ln() is a function in Excel that calculates the natural logarithm of a number. The natural logarithm is the logarithm to the base e, where e is an irrational number approximately equal to 2.718281828.
1. Enter the number for which you want to calculate the natural logarithm in a cell.
2. Click on the cell and enter "=ln()" function (without the quotation marks) in the formula bar.
3. Within the parentheses, enter the cell reference or the number for which you want to calculate the natural logarithm.
4. Press the Enter key and the natural logarithm of the number will be calculated and displayed in the cell.
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Could someone help!
How much of your data would be included within 2 standard deviations of the mean?
A) 68%
B) 95%
C) 97%
D) 99.7%
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Past data indicate that the amount of money contributed by the working residents of a large city to a volunteer rescue squad is a normal random variable with a standard deviation of $1.40. It has been suggested that the contributions to the rescue squad from just the employees of the sanitation department are much more variable. If the contributions of a random sample of 12 employees from the sanitation department have a standard deviation of $1.75, can we conclude at the 0.01 level of significance that the standard deviation of the contributions of all sanitation workers is greater than that of all workers living in the city?
Answers
Answer:
We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.
Step-by-step explanation:
σ = 1.40 ; σ² = 1.40² = 1.96
H0 : σ² = 1.96
H0 : σ² > 1.96
Given that:
Sample size, n = 12
Population Standard deviation, σ = 1.40
Sample standard deviation, s = 1.75
α = 0.01
The test statistic :
χ² = [(n-1)s²] ÷ σ²
χ² = [(12 - 1) * 1.75²] ÷ 1.40²
χ² = (11 * 3.0625) ÷ 1.96
χ² = 33.6875 / 1.96
χ² = 17.1875
χ² = 17.19
Using the Pvalue from Chisquare score calculator;
df = n - 1 ; 12 - 1 = 11
Pvalue ; χ²(17.19, 11) = 0.10238
Since Pvalue > α ; We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.
The Top-Notch Middle School had athletes from all the grades playing on a sports team.
6th grade 7th grade 8th grade
Basketball 2 4 7
Baseball 1 6 5
Soccer 7 4 4
Football 8 15 10
The Top-Notch Middle School had athletes from all the grades playing on a sports team.
Explain what the ratio 5:73 represents.
The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.
The ratio 5:73 represents the ratio of 7th grade football players to total athletes.
The ratio 5:73 represents the ratio of total athletes to 7th grade football players.
The ratio 5:73 represents the ratio of 6th grade athletes to total athletes.
Answers
Based on the information presented, the ratio represents 8th-grade baseball players to total athletes.
What is a ratio?A ratio is a mathematical expression that shows the proportion or the number of a specific element in a category compared to the number of another element in the same category. For example, if you count the animals on a farm the ratio of cows to chickens can be 5:7, which means that for every 5 cows there are 7 chickens.
What does the ratio 5:73 mean?5 : This is the number of baseball players who are in 8th-grade
73: This is the total of players. You get this number if you add all the numbers given.
Based on this, this ratio is comparing the number of baseball players and total players, which means the meaning of this ratio is " the ratio of 8th grade baseball players to total athletes".
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State your conclusion to the following hypothesis test.
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted.
The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.
Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
Question 11 options:
a.there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b.there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c.there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c.there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Construct the equation of the regression line.
An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line.
Number of Pages, x
7
12
4
14
25
30
Cost, y
128
213
75
250
446
540
Question 28 options:
yˆ=17.9(x)+1.6
yˆ=15.4(x)+7.1
yˆ=1.6(x)+17.9
yˆ=7.1(x)+15.4
Use the model to make the appropriate prediction.
A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen pregnancy rate (y). Data from all 50 states produced the regression model:
yˆ=4.3+1.4(x)
What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6?
Answers
Answer:
Part A
a. There is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05
Part B
[tex]\hat Y[/tex] = 17.9·(x) + 1.6
Part C
The teen pregnancy rate in Florida is 6.54
Step-by-step explanation:
The percentage of graduates that find full-time employment in their fields within the first year of graduation = 87%
The significant level of the hypothesis test = 5% = 0.05
The p-value = 0.07
Given that the testing conditions are met, we have;
The p-value is larger than the significant level of 0.05, therefore, it cannot be concluded that there is significant difference between the two rates
Therefore;
There is not enough statistical evidence available to come to a conclusion that the placement rate of full-time students has reduced below the given 87% because from the statistics, the p-value is larger than 0.05.
Part B
Number of Pages, x; 7, 12, 4, 14, 25, 30
Cost, y; 128, 213, 75, 250, 446, 540
The regression analysis formula is;
Y = a + b·X
We have;
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
∴ b = (6×34602-92×1652)/(6×1930 - 92²) ≈ 17.852
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
a = (1652 - 17.852 × 92)/6 ≈ 1.6
∴ Y ≈ 17.9·(x) + 1.6
Part C
The given regression model is y = 4.3 + 1.4(x)
Therefore, at x = 1.6, we get;
y = 4.3 + 1.4 × 1.6 = 6.54
The suggests that the teen pregnancy rate in Florida is 6.54.
If there are 1000 meters in one kilometer, how many kilometers are in 4230 meters?
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Mrs. Remeto separate would like to buy a television TV set payable for 6 months starting at the end of the month how much is the cost at the TV set if her monthly payment is P3,000 and interest is 9% compounded semi annually?
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If her monthly payment is P3,000 and interest is compounded semi-annually at 9%, the cost of the TV set comes to P17,545.08.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
9% = 0.09 / 2
=0.045 + 1 =1.045^(1/6)
=1.00736312 - 1 x 12 x 100
=8.836%
PV=0;
PMT=3000;
R=0.08836/12; N=6; PV
=PMT*(((1 + R)^N - 1)*((1 + R)^-N)* R^-1)
PV==17,545.08
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In the diagram below, line f is parallel to line g, and line l intersects them as shown.
If m 2 is increased by moving line l, which statement is true?
A. m 8 would increase
B. m 6 would decrease
C. m 4 would remain the same
D. m 3 would increase
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Answer:
m 8 would increase, or A
Step-by-step explanation:
Can the sine ratio of an acute angle be greater than 1?
Answers
No, the sine ratio of an acute angle cannot be greater than 1. The sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio will always be less than one.
To what does sin equate?
In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.
It's important to note that if you were to give an angle value greater than 90 degrees, the sine of the angle will be a negative value, but the ratio will still be less than one.
The sine ratio is a value between -1 and 1, and it is impossible for the sine of an acute angle to be greater than 1.
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Which bag of potatoes is the better deal?
Answers
Answer:
5 kg.
Step-by-step explanation:
2 kg for $0.96 is more expensive than 5 kg for $1.95
Help me pleaseee!!!!
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Answer:
y = (10 + 7)/x or y = x/10 + 7/10
Step-by-step explanation:
y = 10x - 7
switch x and y
x = 10y - 7
add 7 to both sides
x + 7 = 10y
Divide both sides by 10
(x + 7)/10 = y
Flip
y = (10 + 7)/x or y = x/10 + 7/10
Question 12(Multiple Choice Worth 4 points) (02.01 LC) Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country? Simple random sampling, because the people in the sample are accessible and available Stratified sampling, because there are specific subgroups to investigate Systematic sampling, because of the ease in selecting every nth person Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement All the above sampling methods
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The option 1 "Simple random sampling, because the people in the sample are accessible and available" is correct for the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.
In the given question, we have to find which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.
As we know that, you must carefully consider how you will choose a sample that is representative of the group as a whole if you want to make accurate conclusions from your data. It is known as a sampling method.
Every individual in the population has an equal chance of being chosen in a simple random sample. The entire population should be included in your sampling frame.
You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.
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The complete question is:
Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?
(1) Simple random sampling, because the people in the sample are accessible and available
(2) Stratified sampling, because there are specific subgroups to investigate
(3) Systematic sampling, because of the ease in selecting every nth person
(4) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement
(5) All the above sampling methods
Max bought a 5 kg cake for his birthday party. After eating 1 3 of it, he cut the remaining cake into pieces of 1 6 kg each. How many pieces of cake did Max cut?
Answers
Answer:
10
Step-by-step explanation:
Cake remaiing after eating 1/3 = 1/3 x 5 = 5/3 kg
let x = pieces he divided the cake into
5/3 ÷ x = 1/6
1/ x = 3/5 x 1/6 = 1/10
x = 10
How do you know if its logarithmic or exponential?
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The difference between logarithmic and exponential functions can be determined by looking at the form of the equation and by performing a calculation.
A logarithmic equation is written as log_b(x) = y, where b is the base and x and y are variables. An exponential equation is written as b^x = y, where b is the base and x and y are variables.
To determine if an equation is logarithmic or exponential, begin by comparing the form of the equation to the two equations above. If the equation is written in the form of log_b(x) = y, then it is a logarithmic equation. If the equation is written in the form of b^x = y, then it is exponential.
To perform a calculation, plug in a known value for x and then solve for y. For example, if the equation is log_2(x) = 4, then plug in x = 8. The calculation would then be:
log_2(8) = 4
This is a logarithmic equation, as the form of the equation matches log_b(x) = y.
If the equation is b^x = 16, then plug in x = 4. The calculation would then be:
2^4 = 16
This is an exponential equation, as the form of the equation matches b^x = y.
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pls help!!! asap!! will give brainliest NO LINKS
Answers
Answer:
it's -63
good luck if you want explanation comment
Answer: 63
Step-by-step explanation:
All triangles' angles added up should be 180 degrees, so 70+47=117 and 180-117=63.
180 = a+b+c
180 = 47 + 70 + c
180 - 47 - 70 = c
or,
180 - (47+70) = c
Dennis made an extra 245. 00 do for selling furniture was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennise sold?
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The total value of the furniture that was sold by Dennis is 3,500 dollars.
What is the percentage?
The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Dennis made an extra $245.00 for selling furniture.
Let the cost of the furniture be x.
Let the total value of the furniture be x + 245.
The extra $245.00 was 7% of the total value of the furniture he sold.
0.07(x + 245) = 245
x+ 245 = 3500
x = 3255
Then the total value of the furniture is (3,255 + 245 =) $3,500.
Hope it helped!
please help me outt the image is below
Answers
Answer:
ggjhh
Step-by-step explanation:
gf Dayanand on fall in didn't you
AAS=angle A
SAS=side AC
PLZ HELP DESPERATE NO LINKs! Will mark brainliest
Answers
Answer:
Step-by-step explanation:
y is 40 and x is 21
so xy=61
Answer:
Y=40
X=21
XY=61
I hope you have a spectacular day and take mental health breaks!
If the value of the discriminant is 10, then a quadratic equation has how many roots? 1) zero roots 2) one root 3) two roots 4) three roots
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Please help me NO LINKS PLEASEE
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Answer:
(-1, -5)
Step-by-step explanation:
going to the left makes you go into the (-, +) plane and going down from there makes you go into the (-, -) plane.
A high school has a population of 2035 students and is increasing by 3% each year.
Write an exponential function to model the student population in terms of the number of years from now.
Answers
Answer:
Y=7x+67
Step-by-step explanation:
The conversion of a temperature from Celsius to Fahrenheit is represented by the expression below, where C is the temperature in degrees Celsius. Use the expression to find the Fahrenheit temperature equivalent to 15° C.
Answers
The expression to convert celcius to Fahrenheit isn't given.
Answer:
59°F
Step-by-step explanation:
However, the expression required for the conversion is :
Temperature (°F) = [Temperature (°C) * 1.8] + 32
Therefore, using the expression, we can convert a celcius temperature of 15°C to Fahrenheit ;
Temperature (°F) = (15 * 1.8) + 32
Temperature °F = 27 + 32
Temperature °F = 59°F
2log 6- log 12 + log 16
Answers
Answer:
[tex] log48[/tex]
Step-by-step explanation:
[tex]2log6 - log12 + log16 \\ \\ = log {6}^{2} - log12 + log16 \\ \\ = log36 - log12 + log16 \\ \\ = log \frac{36}{12} + log16 \\ \\ = log3 + log16 \\ \\ = log(3 \times 16) \\ \\ = log48[/tex]
The area of a square is 275 square meters and one side length is 55 meters. What is the perimeter of the square?
Answers
Answer:
220 meter
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Area of square = 275 square meters
Side length (a) = 55 meters
We can calculate the perimeter of square by using following formula,
Perimeter of square = 4a
By putting the value, we get
Perimeter of square = 4 × 55 mt
= 220 meter
Hence, the perimeter of the square is 220 meter.
can y’all help me please
Answers
Answer: we need more information to solve
Step-by-step explanation:
Help me please I will mark brainiest if you give me the right answer
Answers
Answer:
Well the area is 28.27
Step-by-step explanation:
The question is unfinished ¯\_(ツ)_/¯
Answer:
36π [tex]in^{3}[/tex]
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex] = 9π
[tex]r^{2} = 9[/tex]
r = 3 = radius of the sphere
V = [tex]\frac{4\pi r^{3} }{3}[/tex] = [tex]\frac{4\pi 3^{3} }{3} = \frac{4\pi *27}{3}[/tex]
= 36π [tex]in^{3}[/tex]
A nail salon raises their price for nails from $25 to $30. What is the percent increase?
Answers
17%
step-by-step explanation:
5 out of 30 is 17%
5/30 = 5 ÷ 30 = .16... which rounds to .17 and is equal to 17%.
Answer:
17%
Step-by-step explanation:
5 out of 30 is 17%
5/30 = 5 ÷ 30 = .16. rounds to .17 =17%
What is horizontal give example?
Answers
A horizontal line is a line extending from left to right. When you look at the sunrise over the horizon you are seeing the sunrise over a horizontal line. The x-axis is an example of a horizontal line.
Now, According to the question:
What is a Horizontal Line?
Horizontal lines are also known as sleeping lines. In coordinate geometry, horizontal lines are those lines that are parallel to the x-axis. In geometry, we can find horizontal line segments in many shapes, such as quadrilaterals, 3d shapes, etc. In real life, we can find horizontal lines on the steps of the staircase, planks on the railway tracks, etc.
The x-axis is an example of a horizontal line.
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