Answer:
Slope: y = x
Step-by-step explanation:
Two ordered (-5,0) and (0, 5)
slope = Change in the y-values/ change in the x-value
slope = (5 - 0)/ [0 - (-5)] = 5/5 = 1
slope-intercept form: y = mx + b Using ordered pair (0, 5)
y = mx + b
5 = 1(0) + b
5 = 0 + b
5 = b
Slope-intercept form: y = mx ; y = x
using the gcf you found in part b, rewrite 56+96 as two factors. one factor is the gcf and the other is the sum of two numbers that do not have a common factor. show your work. (4 points)
If the one factor is the gcf and the other is the sum of two numbers that do not have a common factor, then the expression will be 8(7 + 12)
The expression is given by
56 + 96
First we have to find the GCF of the numbers
Prime factorization
56 = 2×2×2×7
96 = 2×2×2×2×2×3
The GCF(56, 96) = 8
Write the expression using the GCF
56 + 96 = 8(7) + 8(12)
Here we have to apply the distributive property
AB + AC = A(B + C)
Then,
8(7) + 8(12) = 8 (7 + 12)
Hence, if the one factor is the gcf and the other is the sum of two numbers that do not have a common factor, then the expression will be 8(7 + 12)
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Would anyone mind solving this? Thank you!
Ms. Garcia's seventh grade class is collecting aluminum cans to buy new board games. They receive $0.35 for each pound of cans they collect. What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a board game that costs $27.20? HELP PLEASE
Answer:
The minimum number of pounds of cans they need to collect is 77. I hope this helps you.
Step-by-step explanation:
You would have to divide $27.20 divided by $0.35 and you would end with 77.7142857143 but basically 77.
HURRY IM TIMED!!
What is the area of the regular trapezoid below?
6 cm-
8 cm
10 cm-
O 64 cm²
O 80 cm²
O 240 cm²
O480 cm²
Write the conditional statement "If I have the time, then I will bake a cake" in its
equivalent disjunctive form.
a) If I bake then cake, then I have the time.
b) I don't have the time or I would bake a cake.
Oc) I have the time and I won't bake a cake.
d) I don't have the time or I won't bake a cake.
b) I don't have the time or I would bake a cake.
In the disjunctive form, the equivalent statement to "If I have the time, then I will bake a cake" is option b. It states that either "I don't have the time" or "I would bake a cake." This form is known as a disjunction, where at least one of the statements must be true for the overall statement to be true.
The original statement is a conditional statement in the form "If A, then B." The equivalent disjunctive form captures the same meaning by expressing it as a logical disjunction. In option b, "I don't have the time" represents the negation of the condition, and "I would bake a cake" represents the conclusion. So, if either the negation of the condition (not having the time) or the conclusion (baking a cake) is true, the overall statement holds true.
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figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
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What kind of triangle is 6cm 10cm and 13cm?
The sides having the length as 6cm , 10cm and 13cm represents a Scalene Triangle .
A Triangle in which the measure of all sides are different is called a Scalene Triangle ,
A Triangle in which the measure of any two sides is equal is called as Isosceles Triangle , and
A Triangle in which the measure of all sides are equal it is called a Equilateral triangle .
the measure of the sides is given as : 6cm 10cm and 13cm ;
we can see that all the three sides are of different length .
Therefore , the given triangle is an Scalene Triangle .
The given question is incomplete , the complete question is
What kind of triangle is represented by the sides having the length as 6cm , 10cm and 13cm ?
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HELP GUYS THIS IS NOT FUNNY
WHAT IS 20 PLUS 20 IMCNOT LYING
Answer:
its 40 dude
Step-by-step explanation:
Consider a barrel that can hold a maximum of 51 L. If you needed to get gallons, how many
gallon containers could you fill up?
Round to one decimal.
Converting 51 liters to gallons, we get 13.47 gallons. So, you could fill up 13.5-gallon containers.
One gallon is equal to 3.78541 liters. To convert liters to gallons, we can divide the number of liters by 3.78541. In this case, we have a maximum capacity of 51 liters, which is equivalent to 51/3.78541 = 13.47 gallons.
Since we cannot fill a partial gallon, we round the answer to one decimal point and get 13.5 gallons.
Therefore, we could fill up 13.5-gallon containers with the maximum capacity of the barrel.
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if a function n=f(y) gives the number of police officers, n, in a town in year y, then what does f(2020) = 200 tell us?
There were 200 police officers in year 2020.
There were 200 police officers on average each year.
There will be 2020 police officers in 200 years
Not enough information given
The function f(2020) = 200 tells us that there were 200 police officers in the year 2020.
Mathematically, an equation can be described as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
The equation f(2020) = 200 tells us that in the year 2020, there were 200 police officers in the town. The function n = f(y) gives the relationship between the number of police officers, n, and the year, y.
So, when we put in the value of 2020 for y, we get the number of police officers in that year, which is 200.
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if two bodies of masses 2000 kg and 4000 kg are separated by a distance of 10m the gravitational force attraction between them is a)6.67×10‐¹¹N
b)48.85×10^7N
c)53.36N
d)53.36×10^‐7N
Answer:
d)53.36×10⁻⁷N
Step-by-step explanation:
The formula for gravitational force between two bodies is given by
F = G (Mm/r²)
Where,
F = gravitational force ( we are asked to find this)
G = gravitational constant = 6.674 x 10⁻¹¹
M = mass of one of the bodies = 4000 kg
m = mass of the the other body = 2000 kg
r = distance between the two bodies = 10m
substituting the above values into the equation:
F = G (Mm/r²)
= (6.674 x 10⁻¹¹) (4000)(2000) / (10²)
= 5.339 x 10⁻⁶
= 53.39 x 10⁻⁷ Newtons
The closest answer to this is d
soccer player jumps up and heads the ball while it is 7 feet above the
It bounces up at a velocity of 20 feet
ground.
per second. How long will it
take the ball to hit the ground?
The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
What is vertical motion model?Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,
\(h(t)=-16t^2+v+t\)
Here, t is time and v is velocity.
Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second. Thus, the vertical motion model for this situation is,
\(h(t)=-16t^2+20t+7\)
When the ball hit the ground, the value of height (h) become zero. Thus,
\(0=-16t^2+20t+7\\16t^2-20t-7=0\)
On solving this quadratic, the value of x we get,
\(x=1.535,x=-0.285\)
Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
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Which graph below shows a system of equations with no solution? (5 points)
coordinate plane with two parallel lines
coordinate plane with two intersecting lines
coordinate plane with two coinciding lines
coordinate plane with two intersecting lines
Answer:
A: Coordinate plane with two parallel lines.
Step-by-step explanation:
This is the correct answer because the solution is the point where the lines intersect. If the lines never intersect, there is no solution. And as we know, paralell lines can never intersect. Good luck everyone!! <3
pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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Professor Macor has conditioned her cat Prince to come running when she crinkles his bag of kitty treats. In terms of classical conditioning, crinkling the bag of treats serves as the:
In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.
Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.
The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.
Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.
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F(x) = Root(-5x2+3)
Determine the zeros of your function (x). Reject the negative zero and call the positive zero ′′. Your function (x) will be restricted to the domain ≤ ≤ for the rest of this task. You should now have a curve given by the function (x) over the domain 0 ≤ x ≤ . You will be determining the area of the largest rectangle that will fit under this function down to the x-axis using the following instructions:
1. The rectangle with the largest area will have one vertex on the origin, one vertex on the positive x-axis to the left of x = , one vertex on the positive y-axis under your curve, and its last vertex will be a point on the curve (). Draw a rough (but neat) diagram of how this rectangle looks inside your curve. You may use graphing technology to get an idea of what (x) looks like on your domain for your sketch.
2. Write an expression for the length and width of this rectangle in terms of x. Use these expressions to write a function (x) which represents the area of an inscribed rectangle as a function of the x-coordinate of the top-right point of the rectangle.
3. Use the techniques discussed in the Optimization lessons to determine the value of x which maximizes the area of the rectangle on the interval 0 ≤ x ≤ . Express this x-value as an exact value or rounded to the nearest thousandth.
4. What is the area (expressed either as an exact value or rounded to the nearest thousandth) of the largest rectangle that can be inscribed under your curve?
5. Use the Second Derivative Test to verify that the value of x you determined in question 3 is the maximum value.
To find the zeros of the function \(\(f(x) = \sqrt{-5x^2 + 3}\)\), we need to solve the equation \(\(f(x) = 0\)\). Since we are taking the square root of a negative number, there are no real solutions for \(x\) that make the function equal to zero. Therefore, there are no zeros for this function.
Next, we will restrict the function to the domain \(\(0 \leq x \leq k\)\) for some positive value of \(\(k\)\). We will find the largest rectangle that can fit under the curve \(\(f(x)\)\) within this domain.
1. The rectangle with the largest area will have one vertex on the origin (0, 0), one vertex on the positive x-axis to the left of \(\(x = k\)\), one vertex on the positive y-axis under the curve, and its last vertex will be a point on the curve. The diagram will look as follows: IN THE IMAGE
2. Let \(x\) be the x-coordinate of the top-right point of the rectangle. The length of the rectangle will be \(\(x\)\) and the width will be \(\(f(x)\)\). Therefore, the area of the rectangle can be expressed as:
\(\(A(x) = x \cdot f(x) = x \cdot \sqrt{-5x^2 + 3}\)\)
3. To find the value of \(\(x\)\) that maximizes the area of the rectangle on the interval \(\(0 \leq x \leq k\)\), we can use optimization techniques. We need to find the critical points of \(\(A(x)\)\) within this interval. Taking the derivative of \(\(A(x)\)\) with respect to \(\(x\)\) and setting it equal to zero, we have:
\(\(A'(x) = \sqrt{-5x^2 + 3} - \frac{5x^2}{\sqrt{-5x^2 + 3}} = 0\)\)
Simplifying the equation, we get:
\(\(\sqrt{-5x^2 + 3} = \frac{5x^2}{\sqrt{-5x^2 + 3}}\)\)
Squaring both sides, we have:
\(\(-5x^2 + 3 = \frac{25x^4}{-5x^2 + 3}\)\)
Cross-multiplying and rearranging the equation, we get:
\(\(-5x^2(-5x^2 + 3) = 25x^4 - 75x^2\)\)
Expanding and simplifying, we have:
\(\(0 = 50x^4 - 175x^2 + 15\)\)
This is a quartic equation that can be solved to find the critical points within the interval \(\(0 \leq x \leq k\)\). By solving this equation, we can determine the value of \(\(x\)\) that maximizes the area of the rectangle.
4. Once we have found the value of \(\(x\)\) that maximizes the area, we can substitute it back into the area function \(\(A(x)\)\) to calculate the maximum area of the rectangle.
5. To verify that the value of \(\(x\)\) we found in question 3 is the maximum value, we can use the second derivative test. Taking the second derivative of \(\(A(x)\)\) and evaluating it at the critical point, we can determine whether it corresponds to a maximum or minimum. If the second derivative is negative, it indicates a maximum.
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Classify the following triangle
(Chose multiple)
-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right
Answer:
Scalene
Acute
Obtuse
Step-by-step explanation:
≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°
≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles
= Scalene as all the sides are of different lengths and so are all the angles with different degrees.
= Actue because QPO and PQO are less than 90°, thus they are acute angles
≠ Equiangular because none of the given angles are of the same degree.
= Obtuse as POQ is greater than 90°
≠ Right because the given triangle does not have a right angle
2
2. Match each number with an equivalent expression writ
single digit times a power of ten.
0.000000004
40,000,000,000
40,000,000
0.00004
WA/L
4 x 10-5
000
4 x 10¹0
00
4 × 10-9
010
0
er of ten?
Os bas
4 × 107
00
bris 20
a+s(901);
Answer:
1st = 4×10 ^-9
2nd= 4×10^1
3rd = 4×10^7
4th = 4×10^-5
Step-by-step explanation:
for whole numbers you just have to count from the ending till the number indicated beside the x10
for decimals you count from the front starting at the decimal till you cover the whole number
The half-life of a radioactive kind of krypton is 3 minutes. How much will be left after 6 minutes, if you start with 32 grams of it?
Answer:
8 grams
Step-by-step explanation:
The half-life of a radioactive kind of krypton is 3 minutes. How much will be l6eft after 6 minutes, if you start with 32 grams of it?
The formula is given as
Nt = No(1/2) ^t/t½
Nt = 32 × (1/2) ^6/3
Nt = 8 grams
Using the number lines what is the equivalent fraction for 4/4
what is $20.00 take away $4.60
The length of the base of an isosceles triangle is 12 inches. Each base angle measures 50°. Which is a feasible plan to find the length of each congruent side of the triangle? Justify each step.
Answer:
9.6 inches
Step-by-step explanation:
cos 50 =(1/2 base) / side base =12
cos 50 = 6 / side
0.6248 = 6 / side
side=6 / (0.6248)=9.6 inches
.!.$.!.!.’!!.!!.!.!need help
oml! ill try give me a min tho
Answer:
8.) x×6=y
Step-by-step explanation:
1×6=6
2×6=12
4×6=24
5×6=30
25×6=150
For each of the others, multiply the value of x times the CoP for the y value and divide the value of y by the CoP to get the x value. I've attached the work for number 9.
A poker hand consists of two cards. What is the probability that the poker hand consists of two jacks or two fives
The probability of getting a poker hand with two jacks or two fives is approximately 0.009 or 0.9%.
To calculate the probability of getting a poker hand with two jacks or two fives, we need to know the total number of possible poker hands and the number of poker hands with two jacks or two fives.
There are a total of 52 cards in a standard deck of playing cards. To get a poker hand with two cards, we need to choose two cards out of 52. The number of ways to choose two cards out of 52 is given by the combination formula, which is:
C(52,2) = 52! / (2! * (52-2)!) = 1326
Therefore, there are 1326 possible poker hands that we can get.
Now, we need to find the number of poker hands that consist of two jacks or two fives. There are 4 jacks and 4 fives in a standard deck of cards, so there are 4C2 = 6 ways to choose two jacks or two fives. Therefore, there are a total of 12 possible poker hands with two jacks or two fives.
The probability of getting a poker hand with two jacks or two fives is given by:
P(two jacks or two fives) = number of poker hands with two jacks or two fives / total number of possible poker hands
= 12 / 1326
= 0.009
Therefore, the probability of getting a poker hand with two jacks or two fives is approximately 0.009 or 0.9%.
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you want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model. how can you address this?
In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.
Define linear regression.A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.
Given,
You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.
I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.
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Mr. koger is making copies of the school literary magazine to distribute to students and faculty. he has access to two copy machines: an older machine and a new machine. if he used only the older machine, it would take 80 minutes longer than if he used only the new machine. if he used both machines, he would finish the job in 30 minutes. when m is the number of minutes it would take to finish the job using only the new machine, the situation is modeled by this rational equation: . how many minutes would it take to finish the job if mr. koger used only the new machine? a. 20 minutes b. 40 minutes c. 50 minutes d. 60 minutes
Using the rational equation it would take 40 minutes to finish the job if Mr. Koger used only the new machine.
So, option B: 40 minutes is the correct option.
What are rational equations?Equations with variables in the denominators of rational expressions are referred to as rational equations.
The given rational equation to model the situation is -
1/m+1/(m+80)=1/30
On simplifying -
30m+30(m+80)=m(m + 80)
30m+30m+240=m^2+80m
-20m+240=m^2
-m^2-20m+240=0
On factorizing the equation -
-m^2-60m+40m+240=0
-m(m+60)+40(m+60)=0
(-m+40)(m+60)
-m=-40, m=-60
m=40, m=-60
Since, time cannot be negative so the value m=40 is the correct value.
Therefore, the time taken by new machine is 40 minutes.
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How much is 6000 Peso (MXN) in US Dollars?
6000 Mexican pesos is equivalent to approximately $281.70 USD.
It's important to note that the exchange rate is not fixed and can fluctuate on a daily basis. So, if you need to convert a large sum of money, it's recommended to keep an eye on the exchange rate for a few days to make sure you get the best rate possible.
This rate is constantly changing due to many factors like inflation, political stability, and trade relations between the countries.
the conversion rate of 6000 MXN to USD is not a fixed value, and it's important to be aware of the current exchange rate to get the most accurate conversion.
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Alicia found a coupon in the paper for 25% of new jeans our favorite clothing store when she gets to the store to make her purchase she finds out the Pacific pair of jeans she wants is already on sale for 10% off if the original price of jeans is 48. 99 how much will she pay after applying the discount
Solve the following pair of equations by substitution method:
0.2x + 0.3y − 1.1 = 0, 0.7x − 0.5y + 0.8 = 0
Answer:
(x, y) = (1, 3)
Step-by-step explanation:
You want to solve this system of equations by substitution:
0.2x +0.3y -1.1 = 00.7x -0.5y +0.8 = 0Expression for xWe can solve the first equation for an expression in x:
x = (1.1 -0.3y)/0.2 = (11 -3y)/2
SubstitutionSubstituting for x in the second equation gives ...
0.7(11 -3y)/2 -0.5y +0.8 = 0
7.7 -2.1y -y +1.6 = 0 . . . . . . . . . multiply by 2, eliminate parentheses
-3.1y +9.3 = 0 . . . . . . . . . . . . collect terms
y -3 = 0 . . . . . . . . . . . . . . . divide by -3.1
y = 3 . . . . . . . . . . . . . . . add 3
x = (11 -3(3))/2 = 2/2 = 1 . . . . . find x
The solution is (x, y) = (1, 3).
__
Additional comment
A graphing calculator confirms the solution.
Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. A. 4. 9 b. 8. 5 c. 14. 6 d. 17. 1.
The total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.
What is total employment compensation?Total employment compensation is equal to the sum of gross pay and employment benefit subtracted with any job expenses.
Trevor’s total employment compensation is $33,500. Trevor has no job expenses and his gross pay is $28,600.
Let the total employee benefits is x. Therefore, using the above definition of total employment compensation,
\(33500=28600+x-0\\\)
Solve it for x as,
\(x=33500-28600\\x=4900\)
In the percentage form,
\(x=\dfrac{4900}{28600}\times100\\x=17.1\%\)
Hence, the total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.
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