Answer:
0.75 is less than 1, so the portrait will be smaller than the actual head.
Step-by-step explanation:
The art teacher has said that the portrait will be 0.75 times as tall as the actual head.
0.75 is less than 1, so the portrait will be smaller than the actual head.
A ratio of 0.75 means that the portrait will be 3/4 the size of the actual head. So, if the actual head is 8 inches tall, the portrait will be 6 inches tall (8*0.75 = 6). Therefore, the portrait will be smaller than the actual head.
Is Jennifer or Jacqueline correct?
Answer:
Jennifer
Step-by-step explanation:
The domain of a function is the set of x-values that result in defined and real values for that function.
In this case the requirement was to plot a graph so that the domain is between -4 and 5 inclusive
We can represent this mathematically as -4 ≤ x ≤ 5
If you look at both graphs, Ashton's graph on the left has a minimum
x-value of -4 and a maximum x-value of 5. So his graph is correct
Carlie's graph on the right does have a minimum x-value of -4 but its maximum x-value is between 2 and 3. So this graph is incorrect
Therefore Jennifer's statement is correct
Answer: Jennifer
Please help! Enter only a numeric answer.
The value of m ∠ H-F-K, given the value of the corresponding and supplementary angles, is 84 degrees
How to find m ∠ H-F-K ?The angles given of 6 ( x + 2 ) degrees and 8 ( x - 2 ) degrees are complementary and add up to 180 degrees.
The value of these angles is:
6 ( x + 2 ) = 8 ( x - 2 )
6x + 12 = 8x - 16
8x - 6x = 16 + 12
x = 28 / 2
x = 14
The angle is:
= 8 ( 14 - 2 )
= 8 x 12
= 96 degrees
The value of m ∠ H-F-K will be supplementary to m ∠ H-F-K so the value of m ∠ H-F-K is:
= (360 - 96 - 96 ) / 2
= 84 degrees
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Based on a survey of a random sample of 900 adults in the United States, a journalist reports that 60 percent of adults in the United States are in favor of increasing the minimum hourly wage. If the reported percent has a margin of error of 2.7 percentage points, which of the following is closest to the level of confidence
Therefore , as a result, the z-answer table's to the test statistic problem given above determines that the corresponding confidence level for 1.65 is 90%.
Define test statistic.The Z-statistic, that exhibits the typical normal null hypothesis is true, has been the statistical test for something like a Z-test. Let's say you do a two-tailed X y with a 0.05 significance level and get a 2.5 Z-statistic (also known as a Z-value) depending on your data. The p-value for this Z-value is 0.0124.
Here,
Given :
the following characteristics
The ratio of the sample size n = 900 p equals 0.6 * 900 = 540 p = 540/900 p = 0.6 E = 2.7% = 0.027.
The answer to the above problem is:
=> 0.027 = z* 0.6(1-0.6)/900
=> 0.027 = z* (0.24/900)
=>0.027 = z* 0.00163
=>0.027/0.0163 = z
=>z = 1.65
As a result, the z-answer table's to the test statistic problem given above determines that the corresponding confidence level for 1.65 is 90%.
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liam sells sandwiches at an arena. he earns $10.50 per hour plus $0.40 for each sandwich he sells. how many sandwiches does he need to sell during a 6-hour shift to earn $125
Answer:
He needs to sell 157 sandwiches to earn $125
Step-by-step explanation:
●$10.50×6 hrs= $63
●$125 - $63= $62 {So he needs to sell $62 worth of sandwiches}
●$0.40 × 157= $62
pov:《$62 + $63 = $125》
Answer:
155 sandwiches
Step-by-step explanation:
First we see what the base rate is for his six-hour shift. We do this by multiplying 10.50 by 6 which is 63. Then we do 125-63 which is 62. As he gets 42 cents per sandwich so we do 62÷0.40, which equals 155 so he needs to sell 155 sandwiches.
Is dividing by 1 2 the same as 2?
No, dividing by 1/2 is not the same as dividing by 2. Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.
Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.
Dividing by 2 means to take a number, and then divide it by 2. For example, 8 divided by 2 would be 4.
Dividing by 1/2 involves taking a number and dividing it by one half of itself. For example, if you were to divide the number 8 by 1/2, the result would be sixteen. On the other hand, dividing by 2 means taking a number and dividing it by two. If you were to divide the number 8 by 2, the result would be four. Both operations involve division, but the results are not the same. Dividing by 1/2 involves taking a number, doubling it, and then dividing the result by two, while dividing by 2 involves taking a number and simply dividing it by two. The difference in results can be seen when comparing 8 divided by 1/2, which is 16, and 8 divided by 2, which is 4. Consequently, these two operations are not the same.
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A large company boasts in their promotional literature that 74% of their employees have college degrees. Assume this claim is true.
What is the probability that if people are selected at random from this company, that the first person to have a college degree is the 3rd person selected?
0. 0176
0. 0500
0. 4052
0. 9824
Assuming that the company’s claims are true, there is a probability of 0.9824 that the first person to have a college degree is the third person selected at random.
The company claims that 74% of its employees hold college degrees.
Taking the total number of employees as 1,
The probability of employees who do hold a college degree P(3) is 0.74
Therefore, the probability of employees who do not have a college degree is (1-0.74) = 0.26
The probability that the first 2 employees do not have a college degree P(1&2) is 0.26^2
The equation thus turns out to be;
Probability that the 3rd person is the first to hold a college degree = P(1&2)*P(3)= (0.26^2)*0.74= 0.9824
Therefore, the probability that the first person to hold a college degree in the company is the third person chosen at random is 0.9824.
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Manny walked a total of . The reference point used to calculate the total distance that he walked was the same as the ending point. Which describes where Manny most likely walked?from the bottom of a hill to the topon a circular nature trailon a sidewalk from his house to the mallfrom the beginning of a straight track to the end
Manny walked more likely on the circular nature trail.
As a circular path always starts and ends at the same location, we may infer this from the fact that the reference point at the beginning and finish was the same.
Other situations, like going up a slope from the bottom, exclude using the same reference point.
The beginning point and finishing point on a sidewalk or a straight track cannot have the same reference point, in a similar manner.
Therefore we can say that
Manny followed a circular nature route in this manner.The bottom of the hill serves as a reference point as well as the summit, and the beginning point and ending point are the same. Manny is now moving in a circle.Hence, Manny walked more likely on the circular nature trail.
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On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 1.5), (0, 3), (1, 6).
Which exponential function is represented by the graph?
The exponential equation described that passes through (-1, 1.5), (0, 3), (1, 6) is:
y = 3*(2)^x
Which is the exponential equation?A general exponential function can be written as:
y = A*(b)^x
Where A is the initial value and b is the base.
First, we know that the function goes through (0, 3), then we can replace these values to get:
3 = A*(b)^0
3 = A
So we have:
y = 3*(b)^x
We also know that the graph passes through the point (-1, 1.5)
Replacing these values we get:
1.5 = 3*(b)^-1
1.5 = 3/b
b = 3/1.5 = 2
Then the exponential equation described is:
y = 3*(2)^x
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a teacher is creating an assignment worth 70 points. the assignment will consist of questions worth 1 point and questions worth 3 points. which equation represents this situation, where x represents the number of 1-point questions and y represents the number of 3-point questions?
x + 3y = 70 represents the number of 1-point and 3-point questions in an assignment worth 70 points.
What is algebraic equation ?
An algebraic equation is a mathematical statement that shows that two expressions are equal. It typically consists of a combination of numbers, variables and mathematical operations such as addition, subtraction, multiplication, and division.
The equation that represents the situation where the teacher is creating an assignment worth 70 points and it will consist of questions worth 1 point and questions worth 3 points, where x represents the number of 1-point questions and y represents the number of 3-point questions is:
x + 3y = 70
This equation states that the total number of points, which is the sum of the number of 1-point questions (x) multiplied by 1 and the number of 3-point questions (y) multiplied by 3 is equal to 70.
x + 3y = 70 represents the number of 1-point and 3-point questions in an assignment worth 70 points.
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Can someone help me with this question please. Thank you
Answer:
hola buenos skskskskseolelelldd
You must guess a number between 0 and 100, inclusive. Everyone in our class is also guessing a number between 0 and 100, inclusive. Whoever guesses the number closest to two-thirds of the average guess by our class wins $5.
If everyone picks zero, they all win. Only Nash equilibrium is when everyone guesses zero or an extremely low number.
There is no purely dominant tactic in this game. There is a special pure strategy Nash equilibrium, though. Through the iterative elimination of weakly dominated techniques, this equilibrium can be discovered.
Since it cannot potentially be 2/3rds of the average of any guess, guessing any number that lies above 66.67 is dominated for every player. These might be taken away.
Any estimate above 44.45 is weakly dominated for every player once these techniques are removed for each player since no player would guess above 66.67 and 2/3 of 66.67 is roughly 44.45. This procedure will keep going until all numbers higher than 0 are gone.
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how many acres are there in the n 1/2 of the sw 1/4 and the ne 174 of the se 1/4 of a section?
o a) 60
ob) 120
o c) 90
od) 40
What is 2 and 3 over 4 times 5 and 1 over 3?
The answer to the word problem is 14 2/3.
What is a fraction?A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Expressing the word problem into an expression;
2 3/4 x 5 1/3
= 11/4 x 16/3
= 44/3
= 14 2/3
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find the roots of each equation y^2-1/16=0
[tex]y^2 - \cfrac{1}{16}=0\implies y^2=\cfrac{1}{16}\implies y=\pm\sqrt{\cfrac{1}{16}}\implies y=\pm\cfrac{\sqrt{1}}{\sqrt{16}}\implies y=\pm \cfrac{1}{4}[/tex]
(Picture included). The equation y= - 1/3x + 4 represents EF. Which of the following equations and accompanying justifications correctly represents a line that is parallel to EF?
Answer choices:
A. Y= 3x - 5 the slopes are opposite reciprocals
B. Y = 1/3x - 8 the slopes are opposites
C. Y = -1/3x + 5 1/3 the slopes are equal
D. Y = -2/3x + 4 the y intercepts are equal
The equation and the accompanying justification that describes a line that is parallel to EF is: C. Y = -1/3x + 5 1/3 the slopes are equal.
What is the Equation of Parallel Lines?If two lines are said to be parallel to each other, their equations that is expressed as y = mx + b, will have the same slope value of m. Y = mx + b is the slope-intercept form of any equation that represents a line.
Given that the equation y = -1/3x + 4 represents the line EF, its slope is -1/3. This means the slope of any line that is parallel to y = -1/3x + 4 will be the same as -1/3.
Therefore, the correct justification is: C. Y = -1/3x + 5 1/3 the slopes are equal.
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Is 10,129.603 equal to 10,129.63?
Answer:
no
Step-by-step explanation:
.63 is different from .603
please solve for area and perimeter
Step-by-step explanation:
[tex]area = \frac{\pi ({12}^{2}) }{4} - \frac{1}{2} \times {12}^{2} [/tex]
a) Work out 38% of 124
b) Work out 138% of 124
Give each of your answers as a decimal.
38% of 124 is 47.12% and 138% of 124 is 171.12%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, we need to find 38% and 138% of 124,
a) Percentage = 38 / 100 × 124
= 38 × 124 / 100
= 4712 / 100
= 47.12%
b) Percentage = 138 / 100 × 124
= 138 × 124 / 100
= 17112 / 100
= 171.12%
Hence, 38% of 124 is 47.12% and 138% of 124 is 171.12%
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what is the least possible value of 8x-13 when 9 <= 3/4 +x
show ur work
Answer: 53
Step-by-step explanation:
If 9 ≤ 3/4 + x,
x ≥ 8 1/4 (Transpose the 3/4)
So, the least possible value of 8x - 13 will be when x is the least or, x is 8 1/4
or 33/4
8 x 33/4 - 13 = 66 - 13 = 53
Answer:
I hope my answer is correct!
The least possible value of 8x-13 when 9 <= 3/4 +x is -13. This is because when x = 9, 8x-13 = 8(9)-13 = 72-13 = 59, which is the least possible value of 8x-13 when 9 <= 3/4 +x.
Find the length of the curve. r(t) = < 6t, t^2, 1/9(t^3) > , 0 ≤ t ≤ 1
Please show step by step the simplifications and calculations for this problem, thanks!
The curvature of the curve is 55/9 in accordance with the provided declaration.
What in mathematics is a curve?Curve, An abstract phrase used to express the trajectory of a steadily moving particle in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The IS curve displays variants of interest rates plus production levels where anticipated expenditure and income are equal. The many interest and income configurations along whom the merchandise is in homeostasis are represented by the IS Curve.
[tex]\mathbf{r}(t)=\left\langle 6 t, t^2, \frac{1}{9}\left(t^3\right)\right\rangle[/tex]
So,
[tex]x(t)=6 t, y(t)=t^2, z(t)=\frac{1}{9}\left(t^3\right)[/tex]
Then,
[tex]\begin{aligned}& x^{\prime}(t)=\frac{d}{d t}(6 t) \\& =6 \cdot \frac{d}{d t}(t)\end{aligned}[/tex]
= 6(1)
= 6
[tex]\begin{aligned}& y^{\prime}(t)=\frac{d}{d t}\left(t^2\right) \\& =2 t^{2-1}\end{aligned}[/tex]
= 2t
And,
[tex]\begin{aligned}& z^{\prime}(t)=\frac{d}{d t}\left(\frac{1}{9}\left(t^3\right)\right) \\& =\frac{1}{9}\left(3 t^{3-1}\right) \\& =\frac{1}{9}\left(3 t^2\right) \\& =\frac{1}{3}\left(t^2\right)\end{aligned}[/tex]
Now calculating length of the given curve from 0 to 1,
[tex]\begin{aligned}& L=\int_0^1 \sqrt{(6)^2+(2 t)^2+\left(\frac{1}{3}\left(t^2\right)\right)^2} d t \\& =\int_0^1 \sqrt{(6)^2+2 \cdot 6 \cdot \frac{1}{3}\left(t^2\right)+\left(\frac{1}{3}\left(t^2\right)\right)^2} d t \\& =\int_0^1 \sqrt{\left(6+\frac{1}{3}\left(t^2\right)\right)^2} d t\end{aligned}[/tex]
[tex]\begin{aligned}& =\int_0^1\left(6+\frac{1}{3}\left(t^2\right)\right) d t \\& =\int_0^1 6 d t+\int_0^1 \frac{1}{3}\left(t^2\right) d t \\& =6 \int_0^1 d t+\frac{1}{3} \int_0^1 t^2 d t \\& =6[t]_0^1+\frac{1}{3}\left[\frac{t^{2+1}}{2+1}\right]_0^1 \\& =6[1-0]+\frac{1}{3}\left[\frac{t^3}{3}\right]_0^1\end{aligned}[/tex]
[tex]\begin{aligned}& =6(1)+\frac{1}{3}\left[\frac{1^3}{3}-\frac{0^3}{3}\right] \\& =6+\frac{1}{3}\left[\frac{1}{3}-0\right] \\& =6+\frac{1}{9} \\& =\frac{54+1}{9}\end{aligned}[/tex]
= 55/9
Therefore, required arc length is 55/9
NOTE:
For a vector valued function,
[tex]\mathbf{r}(t)=\langle x(t), y(t), z(t)\rangle[/tex] arc length fro a to b
[tex]L=\int_a^b \sqrt{\left(x^{\prime}(t)\right)^2+\left(y^{\prime}(t)\right)^2+\left(z^{\prime}(t)\right)^2} d t[/tex]
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14. A father is twice as old as his son now. Ten years ago, the ratio of their ages was 5:2. Find their present ages.
Answer:
We can set up two equations to represent the information given in the problem:
F = 2S (where F is the father's present age and S is the son's present age)
(F - 10) / (S - 10) = 5/2
We can substitute equation 1 into equation 2:
(2S - 10) / (S - 10) = 5/2
We can cross-multiply and simplify to solve for S:
2S - 10 = 5S - 25
3S = 35
S = 35/3
S = 11.67
So the son is currently 11.67 years old. To find the father's age, we can use equation 1:
F = 2S
F = 2 * 11.67
F = 23.33
So the father is currently 23.33 years old.
please help me :(((((
According to this, 3/10 of an inch on a map corresponds to 7/8 miles in actual distance.
In what way do you convert to a unit rate?In the case of a unit rate expressed as a fraction, the denominator is 1 unit. Divide the denominator by the denominator to represent a rate as a unit rate.
According to this, 3/10 of an inch on a map corresponds to 7/8 miles in actual distance.
Conversion Unit, This unit of conversion, also known as a rate, is utilized to help us map out greater numbers on a smaller piece of paper. Miles to Inches conversion factor is
Data provided 3/10 in equals 7/8 miles.
This suggests that we would depict the real 7/8 miles of distance on the map by 3/10 inches. Inevitably, this would result in a reduction in size or length.
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Change the equation in the row below to fix the marbleslide.
The fixed equation in the given question is y=x-4
What is an equation example?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What are basic equations?A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the connection between two expressions. Equations in this category include a variable, which is often expressed as x or y. Simple equations frequently need to be rearranged in order to be solved.
In the given equation
To fix the equation such that the line coincides with the star
the equation should be
y=x-4
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suppose you buy a car with a value of 9250 each year the value of your car will depricate by 5.1 percent how much will your car be worth in 8 years
Answer: $6085.15
Step-by-step explanation:
Substituting into the exponential decay formula yields [tex]9250(1-0.051)^8 \approx \$6085.15[/tex].
what is 76683932992840842842774839498289294929x91983918938019308926753234793357888890878676932 eqaul to
Answer:
76683932992840842842774839498289294929x91983918938019308926753234793357888890878676932 is a very large number and its exact value is not possible to calculate by hand or with common calculators. However, it can be calculated using a computer with advanced mathematical software.
Step-by-step explanation:
the amount of time it takes students to travel to school can vary greatly depending on how far a student lives from the school and what mode of transportation they take to school. a student claims that the average travel time to school for his large district is 20 minutes. to further investigate this claim, he selects a random sample of 50 students from the school and finds that their mean travel time is 22.4 minutes with a standard deviation of 5.9 minutes. he would like to conduct a significance test to determine if there is convincing evidence that the true mean travel time for all students who attend this school is greater than 20 minutes. what are the appropriate hypotheses?
Answer: The appropriate hypotheses for this significance test are:
Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.
Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.
The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.
Step-by-step explanation:
Elise tosses a fair coin three times in a row. What is the probability that she gets two heads in a row?
Answer:
[tex]\textrm{P(2 heads in a row) } =\boxed{\dfrac{3}{8}}[/tex]
Step-by-step explanation:
Let H represent the event that the coin turns up heads and T the event that coin turns up tails
So we can get H on the first toss, then 2 T's on the next two tosses, a T on the first toss and 2 H on the next two tosses, two T on the first two tosses and a H on the third toss etc.
The sample space for 3 tosses of a coin consists of 2³ elements since there are two possible outcomes for each of 3 events
The sample space is enumerated below
1 H H H
2 T H H
3 H T H
4 T T H
5 H H T
6 H T T
7 T H T
8 T T T
There are 3 possibilities where 2 H appear in a row
These are the ones in bold in the table above
Since only 3 outcomes out of a total of 8 possible outcomes can result in 2 heads in a row,
[tex]\textrm{P(2 heads in a row) } =\dfrac{3}{8}[/tex]
(10)n=10(0.11515 minus -n=0.1515 SHOW YOUR WORK!
The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 will be' (10)n = 10(0.1515).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that the equation as;
(10)n=10(0.11515 -n=0.1515
(10)n = 10(0.1515).
n = 0.1515
Therefore, the resulting equation from the subtraction as;
(10n - n) = 10(0.1515) - 0.1515
9n = 9 (0.1515).
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If p varies directly as r square p =3.2 when r=4 find the value of p when r=6.5
Answer:
I hope this is right :)..
Find the exact value of cos I in simplest radical form.
The exact value of cos I in simplest radical form is 5 /√29
How to find the exact value of cos I in simplest radical form?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
The exact value of cos I in simplest radical form can be found by using trigonometric ratios.
cos I = adjacent / hypotenuse
The opposite is where the angle I is facing. That is opposite = 2
The hypotenuse is where the right angle is facing. That is hypotenuse = √29
The adjacent is the side left after picking opposite and hypotenuse. That is adjacent = 5
cos I = 5 /√29
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