The slope of the line in the given table is -2/3
Calculating the slope of a line from the tableFrom the question, we are to calculate the slope of the line in the given table
To calculate the slope, we will pick two points from the table
Picking the points (0, 1) and (3, -1).
Using the formula for the slope of a line,
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (-1 - 1) / (3 - 0)
Slope = (-2) / (3)
Slope = -2/3
Hence,
The slope of the line in the table is 0.25
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If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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Please help me thank you so much Whoever is
Answer:
1. 96 tennis balls
2. 96 dollars
3. 18 dollars
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 8y – 20x= –8
Answer:
y= ((10 / 4) * x )- 1
Step-by-step explanation:
First we isolate the y variable
substract - 20x both sides
8y = 20x-8
divide both sides by 8 to isolate y
y = ((20/8)x) -1
simplify fraction
y = ((10/4)x) - 1
I need help for this I will give 20 points
Answer:
5/2 I believe. It's a positive slope. All you need to do to find the slope easily is do the rise/run method. Look it up!
Step-by-step explanation:
Find an equation of the line that has a slope of 5 and a y intercept of 3. Write your answer in the form of y=mx+b
Answer:
y=5x+3
Step-by-step explanation:
.can two angles be supplementary if both of them are:, 1 acute? 2 obtuse? 3 right?
Answer:
ii) Obtuse? iii) Right? Thus, the two acute angles cannot be supplementary angles. Thus, the two obtuses angles cannot be supplementary angles.
Answer:
since acute angles obtuse angles cannot be supplementary angles Thus, right angles are supplementary angles
Question 12
Write an equation of a line that passes through (8,5) and (11, 14).
\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{11}~,~\stackrel{y_2}{14})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{14}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{11}-\underset{x_1}{8}}} \implies \cfrac{14 -5}{11 -8} \implies \cfrac{ 9 }{ 3 }\implies 3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{3}(x-\stackrel{x_1}{8}) \\\\\\ y-5=3x-24\implies y=3x-19\)
Answer:
So to write this as an equation follow the steps:
1.First you take y delta divided by x delta. This means that you but in the coordinates, take them minus eachother then divided by eachother. Let me show you with maths for better understanding:
Now you have k in y=kx+m ( the equation has different letters depening on where you are from but I think you understand).
So know we just use simple algebra bu putting in the coordinates in the equation. So for this example im going to use the coordinates x= 8 and y=5
so we get:
Given f(2) = 1093 (92) and g(2) = 30 . Find and simplify (fog) (2)
Refer to image
Given \( f(x)=\log _{3}(9 x) \) and \( g(x)=3^{x} \). Find and simplify \( (f o g)(x) \) \( 2 x \) \( 27^{x} \) \( 2+x \) None of these.
The simplified expression for (f ∘ g)(x) is 2 + x (option d).
To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = log₃(9x)
g(x) = \(3^x\)
Substituting g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)
Now, we simplify the expression:
log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)
Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:
log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x
Using the property logₓ\((x^a)\) = a * logₓ(x), we get:
log₃\((3^2)\) + x = 2 * log₃(3) + x
Since logₓ\((x^a)\) = a, where x is the base, we have:
2 * log₃(3) + x = 2 + x
Therefore, (f ∘ g)(x) simplifies to:
(f ∘ g)(x) = 2 + x
So, the correct answer is (d) 2 + x.
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Complete Question:
Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)
(a) 2x
(b) x
(c) \(27^x\)
(d) 2+x
(e) None of these.
can you help me please
Answer:
13.5 in^2
Step-by-step explanation:
6 = 1/2(B)(H) = 1/2(2)(H)
H = 6
H x 1.5 =9
area = 1/2(3)(9) = 13.5
Answer:
2.7 square inches
Ben creates a pattern using the rule “add 5.” Laura creates a pattern using the rule “add 10.”
Ben’s pattern: 0, 5, 10, 15, 20, 25
Laura’s pattern: 0, 10, 20, 30, 40, 50
Which is true?
Answer:
both
Step-by-step explanation:
you count my 5s like 5, 10, 15, 20, 25
you count by 10s like 10, 20, 30, 40, 50
the polygons in each pair are similiar. help find the missing side length???
Answer:
\(x=12\)
Step-by-step explanation:
Since the polygons are similar, we can use the formula: \(\frac{x}{15}=\frac{32}{40}\). Using cross-multiplication , we obtain: \(40x=15*32\\x=\frac{15*32}{40}= 12\).
you toss a coin four times. what's the probability of tossing tails exactly once? is this an unusual event?
Step-by-step explanation:
Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR
will have ONE tails :
HHHT
HHTH
HTHH
THHH so 4 out of 16 = 4/16 = 1/4 Not very unusual
Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams, how much of the element would remain after 11 years, to the nearest whole number?
Answer:
30
Step-by-step explanation:
What is the difference between the circumference of the outer circle and the circumference of the inner circle?
Answer:the Circumference of the outer cycle is longer than the circumference of the inner circle.
Step-by-step explanation:
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week. (2 points) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
9514 1404 393
Answer:
(c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Try the numbers in the constraints to see if they work.
Build hours:
(4 h/child bike)(10 child bikes) = 40 hours
(6 h/adult bike)(12 adult bikes) = 72 hours
total build hours: 40 +72 = 112, less than 120; constraint is met
Test hours:
(4 h/child bike)(10 child bikes) = 40 hours
(4 h/adult bike)(12 adult bikes) = 48 hours
total test hours: 40 +48 = 88, less than 100; constraint is met
__
Both constraints are met, so the order can be filled.
Each space in the following grid can be filled in with integers. The product of each row and column is displayed in blue. Solve the puzzle. ( need this answered before 11:59 am )
Answer:
5 1 3
2 16 0
2 1 9
Find the constant of proportionality for the table of values.
х
4
5
6
7
у
10
12.5
15
17.5
The constant of proportionality is k =
Answer:
1 / 3
What times xxx gives us yyy?
Hint #22 / 3
If we multiply each xxx-value by \blueD{7}7start color #11accd, 7, end color #11accd, we get to each corresponding yyy-value:
y=\blueD{7}xy=7xy, equals, start color #11accd, 7, end color #11accd, x
Hint #33 / 3
The constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x is \blueD{7}7start color #11accd, 7, end color #11accd.
Step-by-step explanation:
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(co 1) in a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what percentage of the data would be between 13.8 and 30.2? g
The percentage of data between 13.8 and 30.2 in a normally distributed data set with a mean of 22 and a standard deviation of 4.1 is approximately 94.19%.
To solve this problem, we can first standardize the values of interest using the standard normal distribution formula, z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation.
For the lower value of 13.8, we have z = (13.8 - 22) / 4.1 = -1.95. For the upper value of 30.2, we have z = (30.2 - 22) / 4.1 = 2.05.
Next, we can use a calculator to find the area between these two z-scores. Alternatively, we can use the complement rule to find the area to the left of -1.95 and the area to the right of 2.05, and subtract their sum from 1.
Using a calculator, we find that the area between -1.95 and 2.05 is approximately 0.9419 or 94.19%. Therefore, approximately 94.19% of the data falls between 13.8 and 30.2 in this normally distributed data set.
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A photographer can take 12 pictures in 5 minutes how long will it take him to take 132 pictures how much mixtures
Work Shown:
(12 pictures)/(5 minutes) = (132 pictures)/(x minutes)
12/5 = 132/x
12x = 5*132
12x = 660
x = 660/12
x = 55
Note: I used the cross multiplication rule in the third step.
i need help somebody please
Answer:
\(3y + 3y - 12\)
Step-by-step explanation:
This is because if you were to combine like terms, the two beginning values would add up to 6y since adding two y's is just y & 3+3 is 6. & 12 is common sense lol.
In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?
Answer:
8/17Step-by-step explanation:
From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;
sinC = opp/hyp = 15/17
opposite = 15
hypotenuse = 17
According to pythagoras theorem;
hyp² = opp²+adj²
17² = 15² + adj²
adj²= 17²-15²
adj = √64
adj = 8
Since cosC = adj/hyp
cosC = 8/17
The ratio of cos is 8/17
Some remedies for gluten intolerance are to increase your intake of fruits and vegetables
A. True
B.False
I think that's false
Step-by-step explanation:
Hope this helps
Answer:
true
Step-by-step explanation:
gluten intolerance can stop you from absorbing really important nutrients, commonly found in fruits and veggies so increasing your intake can help you absorb the nutrients.
There are about 3.79 liters in 1 gallon. Kendra’s fish tank contains 100 gallons of salt water. About how many liters does the tank hold? Round your answer to the nearest whole number.
Using the conversion to find, the tank holds 379 liters.
In the given question,
There are about 3.79 liters in 1 gallon. Kendra’s fish tank contains 100 gallons of salt water.
We have to find how many liters the tank holds.
Firstly we learn about gallon
The gallon is a unit of volume.
We measure liquid things in gallon.
As given that
1 gallon = 3.79 liters
We have to find the 100 gallons in liters.
To find the 100 gallons in liters we multiply 100 by 3.79 because 1 gallons equal to 3.79 liters.
So 1 gallon = 3.79 liters
100 gallon = 100 × 3.79 liters
100 gallon = 379 liters
Hence, the tank holds 379 liters.
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Select all the statements that best describe the graph below.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct statements are :
Dependent variable is yIndependent variable is xrate of change is not constant the relationship is non linear this is a negative relationshipAnswer:
1, 2, 4, 5, 8
Step-by-step explanation:
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fran the fearless has a well-known act at a local zoo. as part of the act, fran handles a scary animal that she picks at random out of the box of terror. the following animals are in the box: poisonous snakes, nonpoisonous snakes, poisonous spiders, and nonpoisonous spiders. what is the probability that the animal fran picks is poisonous or is a snake?
The probability that the animal Fran picks is poisonous or is a snake is 1/2 or 0.5.
To calculate the probability that the animal Fran picks is poisonous or is a snake, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Given the animals in the box: poisonous snakes, nonpoisonous snakes, poisonous spiders, and nonpoisonous spiders, there are two favorable outcomes: poisonous snakes and poisonous spiders.
To find the total number of possible outcomes, we consider all the animals in the box: poisonous snakes, nonpoisonous snakes, poisonous spiders, and nonpoisonous spiders.
Therefore, the probability that the animal Fran picks is poisonous or is a snake is the ratio of the favorable outcomes to the total number of outcomes, which is 2 out of 4. Thus, the probability is 2/4, which simplifies to 1/2 or 0.5.
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Simplify the sum. State any restrictions on the variables.
X-2/x+3 + 10x/(x^2)-9
Please show all work and don’t forget the restrictions!
The resulting expression will be \(\frac{x+2}{x-3}\\\)
How to simplify fractional sumGiven the expression as shown in the question:
\(\frac{x-2}{x+3} + \frac{10x}{x^2-9}\)
Find the LCM of the expression to have:
\(\frac{(x-2)(x-3)+10x}{(x+3)(x-3)}\)
Expand the expression
\(\frac{(x^2 - 5x+6+10x}{(x+3)(x-3)}\\\frac {x^2 + 5x+6}{(x+3)(x-3)}\\\)
Expand the expression
\(=\frac {x^2 + 2x + 3x +6}{(x+3)(x-3)}\\=\frac {x(x + 2) + 3(x +2)}{(x+3)(x-3)}\\=\frac{(x+2)(x+3)}{(x+3)(x-3)}\\ =\frac{x+2}{x-3}\\\)
Hence the resulting expression will be \(\frac{x+2}{x-3}\\\)
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What can we conclude if the omnibus null hypothesis is rejected in a one-factor anova?
Answer:
Not all the means are equal.
Step-by-step explanation:
In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.
So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.
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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).
It establishes the relation that:
ESS + RSS = TSS.
If we reject the omnibus null hypothesis, then it means that:
at least one of the population means is different from at least one other population mean.
Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
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List the next three terms in the following sequence 1,2,4,7,11,16
Answer:
22,29,37
Step-by-step:
1,2,4,7,11,16,22,29,37
+1+2+3+4+5+6+7+8...
Answer:
22,29,37
Step-by-step explanation:
For a truck, p is 25 times g. Write a function the relationship between g and p
forces created by snow are typically termed linearly distributed loads. True or false?
False, forces created by snow are not typically termed linearly distributed loads.
Forces created by snow are generally referred to as uniformly distributed loads, not linearly distributed loads. A uniformly distributed load applies a constant force per unit length or area over a specific region. In the case of snow, when it covers a surface or exerts pressure on a structure, the weight of the snow is distributed evenly across the surface, resulting in a uniform load.
This means that the force exerted by the snow is relatively consistent over the entire area it covers. On the other hand, a linearly distributed load would vary linearly along the length or area, meaning the force would change in a linear fashion. Snow loads are more accurately described as uniformly distributed loads due to their consistent distribution of force across a given surface or structure.
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