Answer:
[tex]y=-2x+2[/tex]
Step-by-step explanation:
1) Determine Slope
[tex]\frac{y_2-y_1}{x_2-x1}[/tex] = [tex]\frac{-28-(-34)}{10-12}[/tex] = [tex]\frac{6}{-2}[/tex] = -3
2) Use point slope form to create equation
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-28)=-3(x-10)[/tex]
[tex]y+28=-2x+30[/tex]
[tex]y=-2x+2[/tex]
Left-handedness is ________ common than usual among mathematicians and ________ common than usual among artists.
a. less; more
b. less; less
c. more; less
d. more; more
Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
What is a mathematical model?An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.
As we know,
Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.
Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
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Which new angle is created by extending one side of a triangle?
a remote interior angle
an adjacent interior angle
an exterior angle
a complementary angle
The created by extending one side of a triangle is called: C. an exterior angle.
What is an Exterior Angle of a Triangle?An exterior angle of a triangle is an angle that is formed by extending any of the sides of a triangle. The angle formed, which is called the exterior angle, has a measure that is equal to the sum of the opposite interior angles of the triangle.
Therefore, the angle shown in the image given that is created by extending one side of a triangle is called: C. an exterior angle.
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A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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90 = 10(x + 7) solve for x
show steps & describe the number of solutions
Answer:
x = 2
Step-by-step explanation:
Simplifying
90 = 10(x + 7)
Reorder the terms:
90 = 10(7 + x)
90 = (7 * 10 + x * 10)
90 = (70 + 10x)
Solving
90 = 70 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
90 + -10x = 70 + 10x + -10x
Combine like terms: 10x + -10x = 0
90 + -10x = 70 + 0
90 + -10x = 70
Add '-90' to each side of the equation.
90 + -90 + -10x = 70 + -90
Combine like terms: 90 + -90 = 0
0 + -10x = 70 + -90
-10x = 70 + -90
Combine like terms: 70 + -90 = -20
-10x = -20
Divide each side by '-10'.
x = 2
Simplifying
x = 2
Identify a counterexample for the following statement:
"If a number is a perfect square, then it can't end with a 1."
Answer:
81
Step-by-step explanation:
81 is a perfect square, and also ends with 1.
Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
Write the decimal equivalent for each rational number. Use a bar over any repeating digits 3/11
Answer:
see below
Step-by-step explanation:
1/11=0.0909....
3/11=0.090909...*3 or 0.27272727...
Simplify $(-3x^2 y)(5x^4 y^3).$
Answer: [tex]-15x^6y^4[/tex]
Step-by-step explanation:
(-3x^2 y)(5x^4 y^3)=
-3x^2 *5x^4 *y*y^3=
-3*5*x^2 *x^4 *y^4=
-15*x^(2+4) *y^4=[tex]-15x^6y^4[/tex]
Examine the distribution of the target variable. what is the proportion of individuals who purchased organic products?
The proportion of individuals who purchased organic products is 24.77%.
The target variable is the variable whose values are modeled and predicted by other variables. A predictor variable is a variable whose values will be used to predict the value of the target variable
The target variable (also called the dependent variable) used in the analysis for this tutorial is a categorical variable that differentiates clinicians in the study that indicated that they would be Highly Likely to Use Product X from those that had a Low Likelihood to Use the new product
Organic food is grown without the use of synthetic chemicals, such as human-made pesticides and fertilizers, and does not contain genetically modified organisms (GMOs). Organic foods include fresh produce, meats, and dairy products as well as processed foods such as crackers, drinks, and frozen meals.
According to the plot the distribution of target variable is as follows
0’s: 167181’s
5505
The proportion of individuals who purchased organic products are: 5505/22223
= 0.2477
=24.77%
That is around 24.77% people have purchased organic products.
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Ronald wants to rent a car to take a trip and has a budget of $60. there is a fixed rental fee of $25 and a daily fee of $5. write an inequality that would be used to solve for the maximum number of days for which ronald can rent the car on his budget. 25 5x ≤ 60 25 5x ≥ 60 25x 5 ≤ 60 25x 5 ≥ 60
Answer:
60>x>25
Step-by-step explanation:
Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5
By the given regression output, 22.5 % proportion of the variability in revenue can be accounted for by whether the red sox are playing away
the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable, therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.
So, the proportion will be = 0.2252 x 100%
= 22.5%
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( 3 x 5 + y 2 ) 2 (3x 5 +y 2 ) 2
The value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
How to evaluate the expression?The expression is given as:
(3x^5 + y^2)^2
Expand the expression
So, we have
(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)
Expand the bracket
(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4
Evaluate the sum
(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4
Hence, the value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
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candice is a building manager for the crowley enterprise office building
one of her responsibilities is cleaning the office building's 200-gallon
aquarium. for cleaning, she must remove the fish from the aquarium
and drain the water. the water drains at a constant rate of 10 gallons
per minute.
The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
The independent variable, as indicated in the name is not influenced by other variables but can predetermine its own self.
So, the independent variable is the water in the 200 gallon aquarium
Now, the dependent variable is the tested variable and is depends on the independent variable, which is the time it takes to drain the 200 gallon aquarium.
Hence, independent variable is volume of water in the aquarium and dependent variable is time it will take to drain the aquarium.
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Unit 2 Logic and Proof Homework 1 Inductive reasoning
Answer:
The answers for this question is given below in the explanation section, kindly refer.
Step-by-step explanation:
Find the next 5 terms:
1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.
2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.
3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.
4) 13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.
5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.
6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.
7) => In every next term the arrows rotate clockwise in direction.
T/F:
8) False => 17+19 = 36, which is not a prime number.
9) True
10) True
11) True
12) True
13) True
14) False => ostrich, penguin, etc.
15) True
16) False => (a + b)² = a² + b² + 2ab
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Write two expressions that represent the volume of the cube, one with exponents and one without.
Which expression is equivalent to (2^-1)^3
The solution is [tex]\frac{1}{8}[/tex] .
To understand this problem we need to know the concept of surds and indices, powers and exponents.
If we write [tex]x^{2}[/tex] it means that x must be multiplied by itself two times.
But if we write [tex]x^{-2}[/tex] it means [tex]\frac{1}{x^{2} }[/tex].
Which means if an number has negative power then it must be written in the inverse format to make it positive.
Given here is [tex](2^{-1})^{3}[/tex]
⇒[tex](\frac{1}{2}) ^{3}[/tex]
⇒[tex]\frac{1}{8}[/tex] is the required solution of the problem.
This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.
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Consider this set of numbers: 1, 1, 2, 2, 3, 3, 4, 7, 7, 7, 8, 9. the _____ of the set is 7.
Answer:
mode
Step-by-step explanation:
The mode of the set is 7, as 7 is the number that occurs the most frequently.
The probability of a particular event occurring is 0.27.
What is the probability that the event will NOT occur?
The Probability of not occurring of that event is 0.73.
Simply put, probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Flipping a coin is the best illustration for understanding probability:
Heads or tails are the two possible results.
What is the likelihood that the coin will land on heads? P(H) = can be used to determine this. P(H)=? P, H, the equals sign, the left and right parenthesis, and the question mark. It's possible that you already know 50%, or half and half, is the likelihood. How do we figure it out, though?
Probability of an event = (number of possible outcomes) / (total number of outcomes)
we know , total probability is always 1
Total probability = pro. of event occur + prob. of event not occur
1 = 0.27 + event not occur
probability of event not occur is 0.73
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Write the rational number 36/5 as a decimal
Answer:
36/5 as a decimal is 7.2
Step-by-step explanation:
In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".
When we calculated 36 divided by 5, we found that 36/5 in decimal form is:
36 ÷ 5 = 7.2
Therefore, the decimal form of 36/5 is 7.2
the number of triangles is 1/3 the number of sides
Answer:
y=(1/3) or y=1/3x
Step-by-step explanation:
Without the parenthesis, your equation can be interpreted as Y = one over 3x
The equation which represents the number of triangles is 1/3 the number of sides is t = (1/3) × s.
Let's denote the number of sides of a polygon as "s" and the number of triangles that can be formed within the polygon as "t."
The equation for the number of triangles being 1/3 the number of sides is:
t = (1/3) × s
This equation states that the number of triangles (t) is equal to one-third of the number of sides (s) in a given polygon.
Hence, the equation which represents the number of triangles is 1/3 the number of sides is t = (1/3) × s.
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Complete question:
Write an equation for the number of triangles is 1/3 the number of sides.
Find each product.
29. (r-1)(7r+2)
31. x²(3x-2)(5x+1)
37. (m-n+k)(m+2n-3k)
43. (2m+3)(2m-3)
45. (4x²-5y)(4x²+5y)
Answer:
29. 7r^2-5r-2
31. 15x^4-7x^3-2x^2
37. -3k^2-2km+5kn+m^2+mn-2n^2
43. 4m^2-9
5. 16x^4 - 25y^2
Step-by-step explanation:
To solve these you expand the polynomial and use the FOIL method.
How many units from zero is 0 on the number line? What is the opposite of 0?
Answer:
The absolute value of a number is the distance between the number and zero on a number line. Every number and it opposite are the same distance from zero on the number line.
There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.
Answer: 136, 625,532,413
Step-by-step explanation:
Refer to the number line. find the coordinate of point c that is 78 of the distance from m to j.
The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁), 7/8(y₂ - y₁) ].
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Let's say the coordinate of m → (x₁,y₁)
j → (x₂ ,y₂)
Now since point c is proportion with 7/8
So,
It will be 7/8 times of difference between of x and y coordinate of points m and j
So,
x = 7/8(x₂ - x₁) and y = 7/8(y₂ - y₁)
Hence "The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁), 7/8(y₂ - y₁) ]".
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Find the remainder for this calculation.
161 4
40 Remainder 1
hope this helps :)
hi please help me ii need this one right now
Answer:the graph is not linear
Step-by-step explanation:
6/X + 9 if x = 3
pls help me
answer:
6/x + 9 = 11
explanation:
6 div. 3= 2
2+9=11
How+long+will+it+take+for+$2900+to+grow+to+$25,600+at+an+interest+rate+of+10.4%+if+the+interest+is+compounded+quarterly?+round+the+number+of+years+to+the+nearest+hundredth.+group+of+answer+choices
The number of years to the nearest hundredth is t = 21 years and 3 months.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
A = $25,600
P = $29,00
r = 10.4 = 0.104
n = 4
[tex]\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}[/tex]
After solving:
t = 21.212 years
Or
t = 21 years and 3 months
Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.
The complete question is:
How long will it take for $2900 to grow to $25,600 at an interest rate of 10.4% if the interest is compounded quarterly round the number of years to the nearest hundredth?
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evaluate
(1 +-3)²(-4--3)
Answer:-4
Step-by-step explanation:
What is the value of the "?" in the figure below
Answer:
I think it is none of the choices.
Step-by-step explanation:
