Answer:
10
Step-by-step explanation:
if you replace n with 10 you will get
2(10+2)<5(10-1)
2(12)<5(9)
24<45
which is a true statement if you replace n with any other number you will get a incorrect statement and if you replace n with 3 though they are equal it's not a ≤ it's only <
"What is the constant of proportionality? Write your answer as a whole number or decimal." pleas help me with this tyty
The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
For example x ∝ y
The graph of seconds and ounces has shown.
If we look at the graph it is clear that as the ounces are increasing the seconds are also increasing. Therefore, it is a direct proportion.
Let's suppose the proportion is x ∝ y where x is ounces while y is seconds.
Removing proportionality,
x = ky
k = x/y
Substitute,(x,y) = (1,2)
k = 1/2
Hence "The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2".
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Please help with this i will give lots of points
The equations of the line will be expressed as y = 4 and y = -2x + 11 respectively.
Slope of a line may be defined as the steepness of a curve on graph. Slope is denoted by 'm'. If we are given two points (x₁, y₁) and (x₂, y₂) then the slope of line can be given by m = (y₂ - y₁)/(x₂ - x₁). Now, we have a line y = 6 and this line is parallel to x-axis, so the slope of this line is zero. Since, we have to find the equation of line parallel to given line so the slope of the line parallel to line y = 6 will also be equal to zero. Now, equation of line from points (3, 4) and slope zero is given by
(y - 4) = 0×(x - 3)
=> y - 4 = 0
=> y = 4 which is the required equation.
Now, for the second part we have need to find the equation of line parallel to line y = -2x - 1 and from point (4, 3). The slope of new line is -2 which will be same as the given line as they both are parallel. Now, equation of line will be
(y - 3) = -2(x - 4)
(y - 3) = -2x + 8
y = -2x + 8 + 3
=> y = -2x + 11 which is the required equation.
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Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
She is going to take one counter without looking. The probability that the
counter will be blue is.
How many more blue counters did Jess put in the bag?
Jess put 7 blue counters in the bag.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.
Given Data
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
Let x be the counter she puts in the bag
Total = 1 + 2+x
Total = 3 + x
Blue counters = 1 + x
Probability:
[tex]\frac{1+x}{3+x}[/tex] = [tex]\frac{4}{5}[/tex]
5(1+x) = 4(3 +x)
5 + 5x = 12 + 4x
x = 7
Jess put 7 blue counters in the bag.
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Which of the following triangles cannot be solved using the sine law
1. We can use the sine law since we have two angles and one of the angles had the side opposite it.
2. We can use the sine law because we have two angles, we can find the third angle in the triangle. This means we have all three angles. We now have two angles and one of the angles has the side opposite it.
3. We have a right triangle. We could use the sine law because we have the right angle and the hypotense. We have two sides and one angle.
4. We have two sides and the included angle. We cannot use the sine law. We would have to use the law of cosines to solve this problem.
the radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. how fast is the volume changing when the radius is 10 centimeters? (round your answer to four decimal places. be sure to choose the correct units.)
The air is filled inside the balloon at the rate of 1600π cm³/sec.
What is termed as the rate of change?The momentum of a variable is represented by the rate of change, which is used to arithmetically define the percentage change in value over a specified period of time.The amount of air blown through will be evaluated in volume per unit of time. That is the rate at which volume changes with respect to time.The rate during which air is blown into the balloon is identical to the rate that the volume of a balloon grows.
Volume of the spherical balloon;
V = (4/3)πr³
Given is dr/dt = 4 cm/sec.
To calculate the volume change with respect to time.
dV/dt when r = 10 cm.
Differentiate V = (4/3)πr³ with respect to t.
d(V)/dt = (d/dt)(4/3)πr³
dV/dt = (4/3)π. 3r² dr/dt
dV/dt = 4πr² dr/dt
Put the values.
dV/dt = 4π(10)² .(4)
dV/dt = 1600π cm³/sec
Thus, air is filled inside the balloon at the rate of 1600π cm³/sec.
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y = 3x + 7
y = -2x - 8
Answer: the answer for y=3x+7 is x=y-7/3
the answer for y = -2x - 8 x=-8-y/2
Step-by-step explanation:
The width of a human hair is 2 x 10-5 meters. The width of a piece of sand is 1.5 x 10¹ meters.
What is the difference in the widths, in meters, of the human hair and the piece of sand?
The difference in the widths, in meters, of the human hair and the piece of sand is [tex]1.4998*10^{-1}[/tex] m.
It is given in the question that:-
Width of a human hair = [tex]2*10^{-5}[/tex] m
Width of a piece of sand = [tex]1.5*10^{-1}[/tex]m
We have to find the difference in the widths, in meters, of the human hair and the piece of sand.
We know that,
Difference between the widths = Width of a piece of sand - Width of a human hair
Hence, we can write,
Difference between the widths = [tex]2*10^{-5}[/tex] m - [tex]1.5*10^{-1}[/tex]m
We can write,
[tex]1.5*10^{-1}=15000*10^{-5}[/tex]
Hence,
Difference between the widths =
[tex]15000*10^{-5} - 2*10^{-5}= 14998*10^{-5} = 1.4998*10^{-1}[/tex] m
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-9x+1=-80 what does the x equal
Answer:
Simplifying
x = 9
Step-by-step explanation:
Simplifying
9x + -1 = 80
Reorder the terms:
-1 + 9x = 80
Solving
-1 + 9x = 80
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x = 80 + 1
Combine like terms: -1 + 1 = 0
0 + 9x = 80 + 1
9x = 80 + 1
Combine like terms: 80 + 1 = 81
9x = 81
Divide each side by '9'.
x = 9
Solve the inequality.
x-4.5> -1.8
Whats the
Inequality:
Answer: x>2.7
Step-by-step explanation:
Daniel has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?
Answer:
70 pages
Step-by-step explanation:
42=60% so 42/6=10% or 7, 7x4=40% or 28+42=70 pgs
43 = -3w - 6w -29 solve for w and simplify your answer as much as possible
Answer:
w = -8
Step-by-step explanation:
43 = -3w - 6w -29
combine w terms on right side:
43 = -9w -29
add 29 to both sides:
43 + 29 = -9w -29 + 29
72 = -9w
divide both sides by -9:
72/-9 = -9w/-9
w = -8
An event tent rental business charges a fee to set up and take down a tent, plus an hourly rate. The equation y = 65x + 150 can be used to find the total fee, y, for renting a tent for x hours.
Part A: What’s the hourly Rate?
Part B: What is the fee to set up and take down the tent?
The hourly rate is $65 per hour. While the fees to set up the tent is $100 and to take down after t hours is 65t + 100.
As we can see, the relation between the total fees and the hours for renting in hours is related by the equation,
y = 65x + 100
We are assuming that the price is in dollar.
This is an equation of line in slope-intercept form.
In slope intercept form, the coefficient of x is the slope of the line, which is 65 here.
So, the rate at which the fees is changing with time is 65.
So, the hourly rate will be $65 per hours.
The fees when tent is set can be calculated by,
We should put x = 0, because it is the start,
So,
y = 100
So, the fee to set up is $100.
Let us say the tent is removed after t hours, so the fees will be,
y = 65t + 100.
Fees of taking down the tent is $(65t+100)
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Wright 25*10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
standard form means 1 number before the decimal
zero point eight times thirty one
Answer:
24.8
Step-by-step explanation:
hope it help
have a nice day
help me with this please
Answer:
awnser is b dived by a plus k
Please do Equations A-D!!! Find the discriminant, numbers of roots, and type of roots and tell me which method you used to solve. Thank you in advance!! I will mark BRAINLIEST!!!
Discriminant for A-3, (2 imaginary solution)
Discriminant for B-1152 (2 real solutions)
Discriminant for C-400 (2 real solutions)
Discriminant for D-96 (2 real solutions)
I hope I was able to help some of it!
in the questionnaire design process, what is the first step? determine the data-collection method determine the survey objectives, resources, and constraints decide on question wording determine the question response format
There are nine different steps in questionnaire design process among which the first step is to decide upon the information required.
A good survey needs a well-designed questionnaire. However, as there is no theory of questionnaires to serve as a guide, the researcher must build his or her own intuition for what constitutes "excellent design."
A good questionnaire should directly contribute to the accomplishment of the study's goals, give complete and accurate data, be simple for interviewers and respondents to complete, allow for solid analysis and interpretation, and be brief.
The design of a questionnaire will depend on whether the researcher wants to gather quantitative data or qualitative data for the sake of better understanding or developing hypotheses about a subject (to test specific hypotheses that have previously been generated).
In the questionnaire design process, there are in all nine steps in developing the questionnaire -
Decide the information required.Define the target respondents.Choose the method(s) of reaching your target respondents.Decide on question content.Develop the question wording.Put questions into a meaningful order and format.Check the length of the questionnaire.Pre-test the questionnaire.Develop the final survey form.Thus, the first step in the questionnaire design process is to decide the information required.
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Rex and Gavin were splitting nachos. Rex ate 5/6 of the nachos
and Gavin ate of the nachos.
1/8
What fraction of the nachos did they eat together?
Answer: 23/24
Step-by-step explanation:
1) Set up the equation
[tex]\frac{5}{6} + \frac{1}{8}=?[/tex]
2) Set the fractions equal to each other
Find a number that can make both denominators the same.
What I found is that both numbers can multiply by 24! By multiplying the same number on the denominator and numerator ([tex]\frac{4}{4}[/tex]), the fraction doesn't change.
[tex]\frac{4}{4} * \frac{5}{6} + \frac{1}{8} * \frac{3}{3} =?\\\frac{20}{24} + \frac{3}{24}=?[/tex]
3) Add up the fractions
[tex]\frac{23}{24}}=?[/tex]
Calculate the length of the sides marked x and y
Step-by-step explanation:
there is no side marked y.
to get x :
the graphic shows us already the split of the overall object into sub-shapes :
2 right-angled triangles
1 rectangle
x is the sum of the width of the rectangle and the shorter leg of the larger, top right-angled triangle.
to get both we need to use Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs of the triangle.
let's start with the shorter leg of the larger triangle.
the Hypotenuse is 18, and the longer leg is the same as the length of the "underlying" rectangle : 10.
so, we get
18² = 10² + leg1²
324 = 100 + leg1²
leg1² = 224
leg1 = sqrt(224) = 14.96662955...
now to the width of the rectangle.
it is the same as the longer leg of the smaller triangle on the right side.
its Hypotenuse is 5. its shorter leg is 2.
so, we get
5² = 2² + leg2²
25 = 4 + leg2²
leg2² = 21
leg2 = width rectangle = sqrt(21) = 4.582575695...
x = leg1 + leg2 = 14.96662955... + 4.582575695... =
= 19.54920524...
if the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be \ \ \ \ \ \ \ \ \ .
If the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be dependent events.
There, are two types of events- dependent and independent. Independent ones are those wherein the occurrence of one event has no effect on the probability of occurrence of another one. For example- you and your classmate passing a test are both independent events.
On the other hand, dependent events are those events that are affected by a change in any one of the events probability changing. For example- studying for a test and passing the test are both dependent events.
Thus, if the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be dependent events.
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What are the coordinates of the point on the direct line segment from (-5, -10) to (2, 4) that partitions the segment into a ratio of 2 to 5?
Now the given coordinates are,
(-4,10) and (2,-10)
Thus, we have,
x₁ = -4
y₁ = 10
x₂ = 2
y₂ = -10
Given ratio, m₁ : m₂ = 1 : 3
⇒ m₁ = 1; m₂ = 3
Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.
Since the section formula is given as,
So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)
y = (m₁y₁ + m₂y₂) / (m₁ + m₂)
Put the values,
x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4
⇒ x = 1/2
Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4
⇒ y = -5
So, the required coordinates are (1/2, -5)
Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).
Answer:(-3,-6)
Step-by-step explanation:
What is 81  divided by 11016
Of the 160 seventh graders, 3/4 went to the pep rally. How many students went?
=======================================================
Explanation:
Draw a circle and split it into 4 equal pieces.
We'll split the 160 students into four equal groups
160/4 = 40
Write the number 40 in each slice. Shade 3 of those slices to represent 3*40 = 120 students went to the pep rally (the remaining 40 did not go).
Answer:
120
Step-by-step explanation:
Take the 160 divide by ¾ to get 120.. These are the number of students who went
Solve V³ = 40
…………….
[tex]2 \sqrt[3]{5} [/tex]
2(3^√5
to determine her blood sugar level, keri divides up her day into three parts: morning, afternoon, and evening. she then measures her at randomly selected times during each part of the day.
This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.
The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.
Here, the lady has divided her day into three parts morning, afternoon and evening.
This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.
This is a type of stratified sampling.
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The personal assets and liabilities of a dentist are listed below.
What is the dentist's personal net worth if they pay off their student loans?
O $105,641
O $121,998
O $159,686
O $381,585
The net worth of the dentist is $381,585. And the correct option is D.
What is net worth?A person's or company's net worth is the value of their assets less the amount of liabilities they have.
The personal assets and liabilities of a dentist are listed below.
Car Value = $26,250
Car Loan = $4,600
Savings Account Balance = $42,607
Office Equipment = $19,400
Student Loans = $2,949
Credit Card Balance = $413
Checking Account Balance = $79,391
Home Value = $218,950
Net Worth of Dentist's
= Personal assets - liabilities
= 26250 - 4600 + 42607 + 19400 +79391 + 218,950 - 413
= 386598 - 4600 - 413
= 381585
= $381,585
Therefore, net worth is $381,585.
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What is 7 7/8 • 2 1/4
Answer:
Step-by-step explanation:
[tex](7\frac{7}{8} )(2\frac{1}{4} ) = \\\\\frac{567}{32} \\\\OR\\17\frac{23}{32}[/tex]
PLEASE HELP DUE IN 3-4 MINUTES THANK YOU!!
Answer: -28 percent
Step-by-step explanation:
I need help asap!!
What Is the slope of the line on the graph?
Answer:
[tex]m = \frac{2 - 4}{ 6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} [/tex]
Hi that would be -1/3 or 1/-3 either one is correct.
if triangles have two corresponding angles and one corresponding side congruent but the side is not between the angles then the triangles are
right,scalene,congruent,obtuse,acute
Answer: congruent
Step-by-step explanation: