evaluate the expression: 2x + 1.5x: x=3.1, x=6,2,x=8.3
Answers
We will have the following:
For x = 3.1:
\(2(3.1)+1.5(3.1)=10.85\)For x = 6.2:
\(2(6.2)+1.5(6.2)=21.7\)For x = 8.3:
\(2(8.3)+1.5(8.3)=29.05\)Related Questions
Ruth wants to find the decimal equivalent of 226
, so she divides. Study Ruth’s work shown here, and then answer the questions below.
Answers
The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,
What is a rational number?A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).
We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:
22/6 = 3.666666...
We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.
Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.
The difference between 40 and the product of these digits and 6 is always 4.
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Which type of parent function is f(x) = -
1/?
O A. Absolute value
OB. Reciprocal
OC. Square root
OD. Linear
Answers
Answer: B. Reciprocal
Step-by-step explanation:
This is a fact.
The parent function represented by f(x) = -1/x is the reciprocal function.
Therefore, the correct answer is option B.
Reciprocal functions, also known as rational functions, are defined by an algebraic expression where the dependent variable is in the denominator. In this case, the dependent variable is x, and it appears in the denominator as 1/x.
The negative sign in front of the fraction simply indicates that the function is reflected over the x-axis.
The general form of a reciprocal function is f(x) = a/x, where "a" is a constant. In the given function f(x) = -1/x, a is equal to -1.
In the case of f(x) = -1/x, the graph of the function is a hyperbola that opens downwards in the first and third quadrants. It approaches the x-axis as x moves towards positive or negative infinity, and it moves away from the x-axis as x approaches 0.
Therefore, the correct answer is option B, the reciprocal function.
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HELP PLEASE HURRY!!! IM TAKING IT RIGHT NOW!
Answers
Answer:
Sorry
Step-by-step explanation:
Your pictures don't open
A store in Madrid, Spain, specializes in selling toys for children ages 1 to 10. In
August 2020, one euro was equal to 1.18 United States dollars ($). The graph
below represents the profit, P, in dollars, that is generated by selling a new toy
with a price of x dollars.
Answers
Answer:
b and c
Step-by-step explanation:
In this exercise we have to use the knowledge of parabolas to describe the value, in this way we have to:
Letter C
In this exercise we are dealing with a parabola and we can solve it just by looking at the values and the graph, so:
When we have a parabola, its peak relates to the highest profit value on the Y axis, so we find the profit of 150 dollars when the X axis represents the value of the toy in 6 dollars.See more about parabola at brainly.com/question/8495504
Find the y-intercept for the parabola defined by
this equation:
y=-4x^2-x+3
Answers
Answer:
y is 0,3
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
Answer:
(0,3)
Step-by-step explanation:
Two methods:
Method 1: General method for any equation
Method 2: Method specific for parabolas in standard form
Method 1: General method for any equation
For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis. The y-axis is a vertical line through the origin (0,0).
Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis). The only movement would be up or down.
Since no left-right movement will happen, the x-coordinate is zero.
For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation. If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".
\(y=-4x^2-x+3\)
\(y=-4(0)^2-(0)+3\)
Order of operations requires exponents before multiplication, or addition & subtraction...
\(y=-4(0)-(0)+3\)
multiplication...
\(y=0-0+3\)
addition & subtraction, from left to right...
\(y=3\)
So, when the x-value is zero, the y-value is three. Therefore, the ordered pair representing that point is (0,3).
Method 2: Method specific for parabolas in standard form
The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).
Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)
For a parabola in standard form, the y-intercept is always at a height of "c".
So, the y-intercept would be (0,3).
a) Find the simplified form of the difference quotient for the function f(x) = 4x² - 2x + 1.
Answers
Answer:
Step-by-step explanation: f'(x)=0. Explanation: f'(x)=8x+2=0. critical value =−14. hope that helped.
PLEASE HELP FIND ANGLE Z
Answers
I’m playing it’s on quiz- let I’m just not good at math
Alfonso earned a score of 62.5% on his test. He did 20 problems correctly. How many problems were on the test?
Answers
Answer:
they were 32 problems because 20/32 is 62.5
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
Answers
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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help me please please please
Answers
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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A class contains 5 girls and 7 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
Answers
The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.
Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.
Determine the total number of students in the class. That is 5 + 7 = 12.
Determine the number of ways to select two students from the class.
Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.
In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).
C(12, 2) = 12! / (2!(12-2)!) = 66.
Determine the number of favorable outcomes.
In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.
To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):
Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.
So, the probability of selecting a girl and a boy for the class committee is 5/6.
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Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Answers
-5/6x = -10/3
I’m dumb at math so yeah thanks if you help :)
Answers
Answer:
x = 4
Step-by-step explanation:
-5/6x = -10/3
x = -10/3 / -5/6
x = 4
Topic: algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
can someone help me it is math please I will mark brainlist
Answers
Answer:
The difference of a number and seven → n - 7The sum of seven and a number → n + 7The product of seven and a number→ 7nThe quotient of a number and seven → \(\frac{n}{7}\)Step-by-step explanation:
Difference = subtraction, so the difference of a number and seven is n - 7Sum = addition, so the sum of seven and a number is n + 7Product = multiplication, so the product of seven and a number is 7nQuotient = division, so the quotient of a number and seven is \(\frac{n}{7}\)I hope this helps!
Answer:
1 goes to n-7
2 goes to n+7
3 goes to 7n
4 goes to n/7
Step-by-step explanation:
A flagpole casts a 17-foot shadow on the ground when the sun is at a 59° angle of
elevation. Which of the following expressions can be used to determine the height (h), in
feet, of the flagpole? (Assume the flagpole is perpendicular to the ground.)
A. cos59° =h/17
B. tan59° =h/17
C. sin59° =h/17
D. cot59° =h/17
Answers
The expression tan59° = h/17 can be used to determine the height (h), in feet, of the flagpole.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The height of the flagpole is the opposite side of the right triangle formed by the flagpole, its shadow on the ground, and the line from the top of the flagpole to the end of the shadow.
The angle of elevation of the sun is opposite the height of the flagpole, and the length of the shadow is the adjacent side.
Therefore, the tan of the angle of elevation is equal to the height of the flagpole divided by the length of the shadow:
tan59° = h/17
Thus, the correct expression to determine the height of the flagpole is:
B. tan59° = h/17
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What is the value of m?
Answers
Angle ADC is a linear pair ( 180° )
\( \angle \: ADC = \angle \: ADE + \angle BDE\)
\(180 \degree = 112 \degree - \angle \: BDE \)
\( \angle BDE = 180 - 112\)
=> BDE = 68°
Similarly,
BCE is a linear pair or straight line.
BEC = BED + DEC
=> 180° = BED + 126°
=> BED = 180° - 126°
=> BED = 54°
As we know that Sum of angles of triangle is 180° .
m + 68° + 54° = 180°
=> m + 122 = 180°
=> m = 180° - 122°
=> m = 58°
The value of m is 58° .
Boy and he likes swimming =
Answers
Answer:
hot boy shirtless
Step-by-step explanation:
What is the degree measure of f?
A) 37°
B) 53°
C) 56°
D) 71°
Answers
Answer:
The answer is 71
Step-by-step explanation:
Answer:
C) 56 DEGREES
Step-by-step explanation:
Please trust me <3
The average weight of 6 people in an elevator is 173 pounds. A 7th person gets on and now the average weight is 165 pounds. How much did the 7th person weigh?
Answers
Help me pls, will mark brainliest (just 1-7)
Answers
Answer:
6
Step-by-step explanation:
take one away
Classify each system of equations as having a single solution, no solution, or infinite solutions. y = 11 − 2x 4x − y = 7 x = 12 − 3y 3x + 9y = 24 2x + y = 7 -6x = 3y − 21 x + y = 15 2x − y = 15 2x + y = 7 -4x = 2y + 14 x + 4y = 6 2x = 12 − 8y
Answers
Answer:
Let's analyze each system of equations and classify them based on the number of solutions they have:
1) y = 11 − 2x
4x − y = 7
This system of equations represents two lines. The first equation is in slope-intercept form, and the second equation is in standard form. Since the equations have different slopes and different y-intercepts, they intersect at a single point. Thus, the system has a single solution.
2) x = 12 − 3y
3x + 9y = 24
The first equation represents a line, and the second equation is a linear equation. Since the first equation can be rewritten as 3y = 12 - x or y = 4 - (1/3)x, it indicates that the slope-intercept form can't be satisfied. Both equations are equivalent and represent the same line. Therefore, the system has infinitely many solutions.
3) 2x + y = 7
-4x = 2y + 14
The first equation represents a line, and the second equation is also a linear equation. If we simplify the second equation, we get y = -2x - 7, which is equivalent to the first equation. Thus, the system has infinitely many solutions.
4) x + y = 15
2x − y = 15
Both equations are in standard form. By adding the equations, we eliminate y and get 3x = 30, which simplifies to x = 10. Substituting x = 10 into either equation, we find y = 5. Therefore, the system has a single solution.
5) x + 4y = 6
2x = 12 − 8y
The first equation represents a line, and the second equation is a linear equation. By simplifying the second equation, we get x = 6 - 8y, which is equivalent to the first equation. Therefore, the system has infinitely many solutions.
To summarize:
- System 1: Single solution.
- System 2: Infinitely many solutions.
- System 3: Infinitely many solutions.
- System 4: Single solution.
- System 5: Infinitely many solutions.
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answers
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
If b = -2, what is 3b-7 ?
Answers
3 x -2 = -6
-6 -7 = -13
Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected net winnings?
Answers
Answer:
Expected Value = -1(999/1000) + 499(1/1000) = -500/1000 = -50 cents
Step-by-step explanation:
Pls can someone give me the answers for all three pls
Answers
6.7L
.8 kg
an underwater drone is located 9 3/5 meters below sea level. the drone is moved to a location that is 15 1/2 meters below sea level. which measure best describes the change in the location of the drone? 26 1/10m 5 9/10m -5 9/10m -26 1/10m
Answers
The measure that best describes the change in the location of the drone is D. -26 1/10m
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the underwater drone is located 9 3/5 meters below sea level and the drone is moved to a location that is 15 1/2 meters below sea level
The change will be:
= - 9 3/5 - 15 1/2
= - 9 6/10 - 15 5/10
= - 25 1/10
The change is - 25 1/10m.
The options are incorrect.
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PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Answers
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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My recipe makes 96 cookies but I’ll only 24 for the party what will I multiply each ingredient amount by to make just 24 cookies
Answers
Answer:
1/4
Step-by-step explanation:
because the original recipe makes 96 cookies and you want to make 24 so, we can make an equation and solve for x
96*x=24
x=24/96
x=1/4
so you will only need 1/4 of the ingredients to make 24 cookies
Answer:
4 or 0.25
Step-by-step explanation:
1. Divide 96 by 24:
4
So there are 4 24’s in 96, meaning you can divide the recipe by 4 or multiply it by 1/4
(Example):
4 eggs
2 cups flour
8 cps chocolate chips
Multiply all by 1/4:
4 x 1/4 = 1 cup
2 x 1/4 = 1/2 cup
8 x 1/4 = 2 cup
Ccording to the dataset you used in this activity, what was the average diameter of nyc trees in 2015?.
Answers
The average diameter involves adding up all the diameters of the trees in the dataset and dividing the sum by the total number of trees.
"Average" is a term used to describe the central tendency of a dataset. In other words, it is a measure that represents the typical or common value of a group of numbers.
Now, let's dive into the specifics of the dataset used in this activity. The dataset contains information about the trees in New York City and was collected by the Department of Parks and Recreation in 2015. To find the average diameter of trees in NYC in 2015, we need to look at the diameter column in the dataset and calculate the mean.
The resulting value will give us the average diameter of trees in NYC in 2015.
After calculating the average diameter of trees in the dataset, we can say that the average diameter of trees in New York City in 2015 was X inches (insert actual value once available).
This means that the majority of trees in NYC in 2015 had a diameter around this value.
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