Answer:
For multiplication you added the exponents and for division you minus the exponents
Answer:
kdkdjdduidddsisiodiod
4 Alexa has five cards.
Each card has a number on it.
The table gives information about the numbers on the five cards.
Total
45
Median Mode
8
5
Range
10
Using the information in the table, complete each card by writing its number on it.
The numbers on the cards are 5,5,8,12,15
What numbers are on the cards?Number of cards = 5
Median value = 8
Hence, the third number on the cards is 8.
With a modal value of 5, then the value must have appeared more than once.
Since values would be arranged in ascending order, then the two cards before the median would be 5.
Hence , we have 5, 5, 8
The range = 10 ;
Range = maximum - minimum
minimum = 5
10 = maximum - 5
maximum= 10 + 5 = 15
Now , we have : 5,5,8, _,15
Last card value = 45 - (15+8+5+5)
Last value = 45 - 33 = 12
Hence, the values are : 5,5,8,12,15
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Of the three functions in the tables, which represent linear relationships?
Answer:
D. f and h
Step-by-step explanation:
The function f is a liner function because for every increase in x, there is a proportional increase in f(x). This can be seen when the x value goes from 2 to 4, so a 2 unit increase, the f(x) value increases by 3. Since this is true for every interval of 2 in f(x) -- increase x by 2 results in an increase in 3 of f(x) -- then f(x) is a linear function.
The same principle can be applied to h(x), with each 4 unit increase in x, the h(x) value increase by 36.
The function g(x) is not a linear function because for each unit increase of x, there is not a proportional increase (or decrease) in g(x). As seen in the table, g(2)-g(1)= 8-4= 4. For g(x) to be a linear function, every other one unit increase in x should result in a 4 unit increase in g(x0. But this does not occur. g(3)-g(2)= 16-8= 8 , g(4)-g(3)= 32-16= 16, 8 and 16 are not equal to four so g(x) cannot be a linear function.
need help asap!!!! On a bright sunny, day a toy rocket was launched from atop a platform. The altitude, h, in feet, of the rocket x seconds after it launched from the platform can be modeled by the function h(x)=−16x2+96x+112
PART A) Identify and explain the meaning of the y-intercept.
PART B) Identify and explain the meaning of the positive x-intercept.
PART C) Find the maximum height of the rocket.
PART D) Determine when the rocket will reach its maximum height.
This means that the rocket was launched from a platform 112 feet above the ground.
What is an equationAn equation is an expression showing the relationship between two or more variables and number.
h is the altitude of the rocket x seconds after it was launched.
Given the function:
h(x) = -16x² + 96x + 112
The y intercept is at x = 0:
h(0) = -16(0)² + 96(0) + 112 = 112 feet
This means that the rocket was launched from a platform 112 feet above the ground.
The x intercept is at h(x) = 0:
0 = -16x² + 96x + 112
x = 7
The x intercept shows the time the rocket touches the ground was 7 seconds.
Maximum height is at h'(x) = 0
-32x + 96 = 0
x = 3
h(3) = -16(3)² + 96(3) + 112 = 256 feet
The maximum height is 256 feet.
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(5k-10)•-9
show work plssss
Round 317,675 to the nearest ten thousand
Answer:320000
Step-by-step explanation:
How old am I if 400 reduced by 3 times my
age is 229?
Answer:
57 years old
Step-by-step explanation:
400 - 3x = 2293x = 171x = 57400 - 171 = 229Which statement best summarizes the relationship between investments and productivity?
A. Companies with high levels of productivity are the most likely to need investment.
B. Companies must choose between high levels of productivity and large investments. C. Companies use investments to pay for services that improve their productivity.
D. Companies use investments to avoid the need to increase overall productivity.
The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).
What are investments?Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.
In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.
By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.
Therefore, the relationship between investments and productivity is that investments can help improve productivity.
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3000/7.333333 to a whole number
The whole number for the given rational number is 409.
What is a whole number?Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.
Given that, 3000/7.333333.
Here, take x=7.3333...... ------(I)
Multiply equation (I) by 10, we get
10x=73.3333...... ------(II)
Subtract equation (I) from equation (II), we get
9x=66
x=66/9
x=22/3
Now, 3000÷22/3
3000×3/22
= 9000/22
= 409
Therefore, the whole number for the given rational number is 409.
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Find the length of the third side. If necessary, round to the nearest tenth. 8 12
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Which expression is greater than the exact answer to the problem 2789 x 3.875
A 2800 x 4
B 3000 x3
C2700 x 4
D 2800 x 3
hurry quick pls
Answer:
Answer is A
Step-by-step explanation:
when u multiply 2789 x 3.875 u will get 10807.375 so now u have to figure out which answer give a greater amount of number than that, when you try the first answer which is 2800 x 4 u will get 11200 which is greater than the original equation
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Answer:
17.6 minutes
Step-by-step explanation:
\(\frac{4}{5} = \frac{x}{22}\)
\(5x=22\)
\(x=\frac{22}{5}\)
\(4(\frac{22}{5} ) = \frac{88}{5} = 17.6\)
which lines must be parallel
Simplify -8 - 7v +10 + 4v
Answer:
-74v
Step-by-step explanation:
uh-
5, 10, 12, 4, 6, 11, 13,5
calculate the mode
Answer:
5
Step-by-step explanation:
Mode is which number occurs most, and in this set of data, 5 occurs two times.
Work out the following sums and write the answers correctly.
a) £1.76 + £2.04
b) £5.62 + £2.38
Answer of a is €3.8
Answer of b is €8
Solution :
To get the answer add two decimal number
ie. the sum of first question is €1.76 + €2.04 = €3.8
the sum of second question is €5.62 + €2.38 = €8
Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined.Addends are the numbers added, and the result or the final answer we get after the process is called the sum.To learn more about Addition refer :
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5.4 times 2 3/4 ???????????????????????????????????????????????????
Answer: In decimal form, 14.85
Answer in fraction form: 297/20
Step-by-step explanation:
is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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To compare freshmen’s knowledge of mathematics in two departments of a university, a certain professor in Mathematics got a sample of Education and Nursing students and gave a special examination. A sample of 25 Education students has a mean score of 88.50 with standard deviation of 7.5. A sample of 29 Nursing students have a mean score of 90.25 with a standard deviation of 8.2. Is there a significant difference between the two sample means? Use α = .01 level of significance.
There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Is there a significant difference between the mean scores?Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.
We will use significance level (α) of 0.01.
Given:
Sample mean for Education students (x₁) = 88.50
Sample mean for Nursing students (x₂) = 90.25
Standard deviation for the Education student sample (s₁) = 7.5
Standard deviation for the Nursing student sample (s₂) = 8.2
Sample size for Education students (n₁) = 25
Sample size for Nursing students (n₂) = 29
The t-test statistic for two independent samples is:
t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))
t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))
t ≈ -0.8187
In this case, df = 24.
The critical value for α = 0.01 and df = 24 is approximately ±2.797.
Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.
Therefore, we fail to reject the null hypothesis.
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What the degree of 8ax^4
The degree of the expression \(8ax^4\) is 4.
The degree of a monomial expression is defined as the highest exponent of the variable in that expression.
In this case, we have the expression \(8ax^4\), where x is the variable and its highest exponent is 4.
The coefficient 8a is just a constant multiple and does not affect the degree of the expression.
Therefore, the degree of the expression 8\(ax^4\) is 4. It is important to understand the concept of degree, as it helps us to classify polynomial expressions and determine their behavior.
Furthermore, by knowing the degree of an expression, we can also determine the number of possible roots or solutions of that expression.
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Question
"What is the degree of the expression 8ax^4?"
What is the slope of the line shown?
The slope of the line shown is -2.
Option D is the correct answer.
We have,
Take two coordinates from the graph.
(0, 7) and (2, 3)
Now,
Slope.
= (3 - 7) / (2 - 0)
= -4/2
= -2
Thus,
The slope of the line shown is -4/2.
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Section 1- Question 8
Mr. Johnson instructed his students to use the Pythagorean Theorem to draw a line that is precisely V√13 units long from the star to another grid point. The dots are one unit apart.
Using right triangles to determine the distance, how many different lines could Mr. Johnson's students create without going off the paper?
C2022
A
B
3
4
Answer:I have the same question I need help noww!!!
Step-by-step explanation:
Answer:
Step-by-step explanation:
so she started off to tell msjhonson she have nun due to Mr. Johnson instructed his students to use the Pythagorean Theorem to draw a line that is precisely V√13 units long from the star to another grid point. The
Find the domain of the rational expression: 6-x/4x+20
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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Which statement is correctly written as a conditional statement?
The number 10 is an even number, or it is a composite number.
If the number 10 is an even number, then it is a composite number.
The number 10 is an even number when it is a composite number.
A number, such as 10, is a composite number because it is even.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b
where a and b are integers.
Irrational numbers are those real numbers which are not rational numbers.
Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
A composite number is a number divisible by another number than 1 and the number itself.
To find example, a sum of two composite numbers, which is not a composite number, is needed.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.
Hence so the correct option is D.
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Is 4.1 less than or greater than 4.10 
Answer:
4.1 = 4.10
Step-by-step explanation:
Extra 0 at the end of 4.10 doesn't change the quantity of the number, so 4.1 is equal to 4.10
Simplify the expressions:
−8y³ x 5y8
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
HELP ASAP
50 POINTS.......
+BRAINLIEST
Answer:
The answer is $12 and Jackie washed 15 cars.
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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