Answer:
a = -1
b = -9
Step-by-step explanation:
when x = -2 put -2 for x in the equation:
a(3- (-2)) = -2*(-2) + b and then solve
a(3+2) = 4+b
5a = 4+b
then look at the numbers in the box and try for which number this equation will work. when you put a = -1 and b = -9 you will see it is equal on both sides because each side is -5
PLEASEEEEE HELP MEEEE MATHHHHHHHHHHHHHH SUCKS FOR ME
find the speed of you walked 5/9 of a mile in 1/4 if an hour written as a fraction
The speed is 20/9 miles per hour.
From the question, we have
In 1/4 hour walked = 5/9 mile
In 1 hour walked = 5/9 *4 mile
=20/9 miles per hour
The speed is 20/9 miles per hour (MPH)
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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As part of his semester project, a byu-idaho introductory statistics student calculates a 95% confidence interval for the true percentage of byu-idaho students who are from latin america. What does the phrase 95% confidence mean?.
"95% confidence interval" means that there is a 95% chance that the true fraction falls within the computed confidence interval.
Confidence Intervals: Confidence intervals are the range of estimates for unknown parameters.
Confidence intervals are more than just a range of estimated values. It also tells you how stable the estimates are. A stable estimate is an estimate that has approximately the same value if the study is repeated. An unstable estimate is one that would vary from one sample to another.
The confidence interval determines the range that one can be certain that contains the true mean of the population.
This means that, The 95% confidence means, there is a 95% chance that the true proportion will be in the calculated confidence interval or 95 percent confidence interval, you have a 5 percent chance of being wrong.
Hence, the true statement that represents "95% confidence interval" is chance of true fraction of sucess.
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helpppppppppppppppppppppppp pls can you tell me the answers to abc
In the expression 8ab + 3b + 16 - 4a ,
(a) the number of terms are four .
(b) the factors of 8ab are 1 , 8 , a , b , 8a , 8b , ab , 2ab .
(c) the third term "16"is a constant .
In the question ,
the expression is given as 8ab + 3b + 16 - 4a .
Part(a)
the number of terms that are there in the expression is 4 ,
the terms are 8ab , 3b , 16 , 4a .
Part(b)
the first term is 8ab ,
the factors of 8ab is 1 , 8 , a , b , 8a , 8b , ab , 2ab .
Part(c)
the constant term is 16 , because there is no variable .
Therefore , In the expression 8ab + 3b + 16 - 4a ,
(a) the number of terms are four .
(b) the factors of 8ab are 1 , 8 , a , b , 8a , 8b , ab , 2ab .
(c) the third term "16"is a constant .
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The late fee is $2 regardless of the number of days the movie is late
The figures below show the top view and right-side view of a rectangular prism that is completely packed with unit cubes.
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
The number of unit cubes it would take to completely fill the prism with no gaps between unit cubes is 72
Calculating the number of cubes required to fill a prismFrom the question, we are to determine how many unit cubes it would take to completely fill the prism with no gaps between unit cubes.
To do this, we will calculate the volume of rectangular prism
Assuming each cube is 1 cubic unit
Then,
From the top view,
The length of the rectangular prism = 9 units
The width of the rectangular prism = 2 units
From the Right-side view,
The height of the rectangular prism = 4 units
Thus,
The volume of the rectangular prism = 9 × 2 × 4
Volume of the rectangular prism = 72 cubic units
Now,
Number of cubes required to fill the rectangular prism = Volume of the prism / Volume of the cubes
Number of cubes required to fill the rectangular prims = 72 / 1
Number of cubes required to fill the rectangular prims = 72
Hence, the number of unit cubes it would take is 72
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What is the value of
∠E is 74° because it is alternate to the given angle of 74°.
∠E is and the 74° angle are alternate interior angles. Alternate interior angles are a pair of angles on the inner side of two parallel lines. But the angles should be on the opposite sides of the transversal. A transversal line is a straight line that intersects two or more parallel lines.
So here, ∠E and 74° lie on the inner sides of two parallel lines on the opposite sides of the transversal.
Therefore <E = 74°
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help please and thankyou
The required solution is Option D.
sin 21 = x / 22
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sinθ
sec θ = 1/cosθ
cot θ = 1/tanθ
Given data ,
Let the triangle be ΔABC and ∠B = 90°
The angle ∠A = 21°
θ = 21°
The value of the hypotenuse = 22
The value adjacent to the right angle is BC = x
From the trigonometric functions , we know that
sin θ = opposite / hypotenuse
So ,
sin θ = x / 22
Hence , the required solution is sin 21 = x / 22
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A store sells 12 cans of soup for $7. 50 how much would it cost to purchase 6 cans of soup?.
Answer: $3.75
Step-by-step explanation:
Answer:
The cost of 6 cans of soup is 3.75
Step-by-step explanation:
12 = 7.50
1 can = x
12x = 7.50
We need to find the cost of 1 can. So we divide 7.50 by 12.
x = 0.625
Then multiply by 6.
0.625 x 6 = 3.75
As a result the cost of 6 cans of sup is $3.75
What is the equation in slope-intercept form of the line that passes through the point (-1,3) and is parallel to the line represented by y=2x−7?
Answer:
y = 2x + 5
Step-by-step explanation:
The slope of 2 parallel line are always the same. This means that we can easily tell that the slope of the equation that we are trying to solve has a slope of 2. To find the "b" in the slope-intercept form, plug in the coordinates given and that's how you get the answer above.
jaskdnojakwhdojsnawdsa
Answer:
The answer is 0.05556
0.5/9 gives you that
Find the value of
64 2
25
Give your answer as fraction in its simplest form.
Answer: 64/225 is already in simplest form
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator GCD (greatest common denominator) of 64 and 225
Divide both the numerator and denominator by the GCD
64÷1/225÷1
fraction: 64/225
Therefore, 64/225 simplified to lowest terms is 64/225.
If the area of a rectangle is 7y2 - 3y and the width is y, then what is the length of the rectangle?
The length of the rectangle is 7y - 3
What is a Rectangle?
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. The area of a rectangle A = L×W
Where,
A = Area of the rectangle which is 7y^2 - 3y
L = Length which is unknown
W = Width of the rectangle which is y
Substituting,
7y^2 - 3y = L × y
divide through by y
(7y^2 - 3y)/y = L
L = 7y - 3
Therefore the length of the rectangle is 7y - 3
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Please help me answer this, along with a mathematical explanation!
Find x.
Answer:
Please refer photo for answer
Find the rate of change between the following points:
(1,5)
(-5, 1)
The rate of change between (1,5) and (-5,1) is 0.
What is the rate of change?
The slope is the ratio of the rate of change between two points (also known as the "slope") to (the change in the x coordinate).
Let (x,y)=(1,5), (m,n)=(-5,1)
Rate of change=(n-y)/(m-x)=(-5-(5))/(1-1)=0.
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Write a recursive formula for am, the nth term of the sequence
16, 7, -2, -11, ....
aₙ = aₙ₋₁ - 9 is the recursive formula of Arithmetic progression.
Arithmetic progression is a sequence of number in order with same difference .
A fixed number is added to any term of a AP to get next term . That Fixed number is known as common difference.
In the question,
16 , 7 , -2 , -11 . . . .
First term of AP : a₁ = 16
Second term : a₂ = 7
Common difference : d = a₂ - a₁
=> d = 7 - 16
=> d = -9
The recursive formula of AP : aₙ = aₙ₋₁ + d
Here d = -9 , substituting d
The recursive formula of given AP : aₙ = aₙ₋₁ - 9
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A person eating at a cafeteria must choose 4 of the 18 vegetables on offer. Calculate the number of elements in the sample space for this experiment. a) 24024 b) 3060 c) 12240 d) 1001 e) 73440 f) None of the above
According to the combination method, the number of elements in the sample space for this experiment is 3060
Combination method:
Basically, the mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
Given,
A person eating at a cafeteria must choose 4 of the 18 vegetables on offer.
Here we have to calculate the number of elements in the sample space for this experiment.
While we looking into the given question, we have identified the following things,
They are
Total number of available vegetables = 18
Number of choices we have made = 4
Therefore, here the value of n = 18 and the value of x = 4,
Therefore, according to the ncx formula, it can be written as,
=> ¹⁸n₄ = 18! / 4! (18 - 4)!
=> ¹⁸n₄ = 18! / 4! (14)!
=> ¹⁸n₄ = 3060.
Therefore, there are 3060 number of elements in the sample space for this experiment.
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Which could be the first step in solving the equation 0.05x+3−0.02x=4
?
Answer:
Combine like terms.
Step-by-step explanation:
Subtract 0.02x from 0.05x
Then your equation should look like:
0.03x + 3 = 4
you have been asked to cut two boards (exactly the same length after the cut) and place them end to end. if the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?
Each board must be within how many inches of 15 is l' actual = (15±0.03) inch, l" actual = (15±0.03) inch.
size is the quantification of attributes of an item or occasion, which can be used to evaluate other objects or occasions. In other words, measurement is a system of figuring out how massive or small a bodily amount is compared to a primary reference quantity of the identical kind.
size is the simple idea inside the have a look at of arithmetic and technology. measurement quantifies the traits of an object or occasion, which we can compare with other things or activities. measurement is the most commonly used word, on every occasion we address the department of an amount. dimension gear makes our lives higher and more secure, and they enhance the best and quantity of lifestyles. measurement is a contrast of an unknown quantity with a known fixed amount of the equal kind. The cost received on measuring a quantity is referred to as its value. The value of a quantity is expressed as numbers in its unit.
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__ is a set of ordered pairs that produces a true statement when values of x and y are substituted into the equation.
a. function
b. solution
c. domain
d. range
Compute P(X) uing the binomial probability formula. Then determine whether the normal ditribution can be ued to etimate thi probability. If o, approximate P(X) uing the normal ditribution and compare the reult with the exact probability. N=59 p=0. 5 x=28
Binomial probability distribution = 0.0231
The following is the probability using the binomial distribution:
P(X = 24) = 0.0231.
In terms of the normal approximation to the binomial, it is discovered that:
Part 2: C. Yes, because np(1-p)≥10, the normal distribution can be used.
Part 3: The likelihood is: 0.0227.
Part 4: The distinction is: 0.0004.
Binomial probability distribution
The following is the mass function for the probability of exactly x successes:
P(X = x) = [tex]C_{n,x}[/tex].[tex]P^{x}[/tex].[tex](1-P)^{n-x}[/tex]
[tex]C_{n,x}[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]
In which the following parameters are defined:
The number of trials in the experiment is n.
The probability of success on a single trial of the experiment is given by p.
The values of these parameters are given in the context of this problem as follows:
n = 59, p = 0.3, X = 24.
Hence the probability is:
P(X = x) = [tex]C_{n,x}[/tex].[tex]P^{x}[/tex].[tex](1-P)^{n-x}[/tex]
P(X=24) = [tex]C_{59,24}[/tex].[tex](0.3)^{24}[/tex].[tex](0.7)^{35}[/tex] = 0.0231
In the context of this problem, the condition for the approximation is verified as follows:
np = 59 x 0.3 = 17.7 ≥ 10.
n(1 - p) = 59 x 0.7 = 41.3 ≥ 10.
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If c = 12, which statement is true?
A. c is 5 times as many as 4
B. 27 is c times as many as 3
C. 6 times as many as c is 72
D. 8 more than c is 15
Answer:
C. 6 times as many as c is 72
Step-by-step explanation:
You want to know if c = 12, which statement is true.
We can substitute 12 for c in each expression and write it as a math equation. That makes it easier to see if it is true.
A. c is 5 times as many as 412 = 5×4
12 = 20 . . . . . false
B. 27 is c times as many as 327 = 12×3
27 = 36 . . . . . false
C. 6 times as many as c is 726×12 = 72 . . . . . TRUE
D. 8 more than c is 158 + 12 = 15
20 = 15 . . . . . false
Which graph represents the equation y^2? = -4x?
Answer:
[tex]x=-\frac{y^{2} }{4}[/tex]
Step-by-step explanation:
This graph is in terms of x.
16 divided by 5 = with__ left over
Answer:
3 with 1 left over
Step-by-step explanation:
3 * 5 + 1 = 16
Answer:
3 with 1 left over.
Step-by-step explanation:
16÷5=3remainder1
HOPE IT HELPED
On my last birthday, a friend said
to me:
"In 15 years' time, your age will be
the square of your age 15 years
ago!"
Can you work out how old I am?
let thee present age be x.
(x-15)^2=x+15
=>x^2–31*x+210=0
=>(x-21)(x-10)=0
x=10 or x=21
present age can not be 10 as it would result at absurd negative age( -5) 15 years ago.
so present age is 21.
describe the end behavior of each function
Solve each of these equations. Explain or show your reasoning. Reduce all fractions in the lowest terms. Do not convert fractions into decimals.
You'll need to show ALL of your work to receive points.
1. 3b + 9 -5b + 3 = -14 + 6b - 8
2. 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
Answer:
b=17/4
x=-3/5
Step-by-step explanation:
This is what i put for the hw and i got 100% on it. If you want you can just write a bunch of random equations that look like they relate to the question and then just write and circle the answer, which is exactly what i did
Answer:
b = 17/4 x = -3/5Step-by-step explanation:
1) 3b + 9 - 5b + 3 = -14 + 6b - 8, for b?
→ 3b + 9 - 5b + 3 = -14 + 6b - 8
→ -2b + 12 = 6b - 22
→ -2b - 6b = -22 - 12
→ -8b = -34
→ b = -34/-8
→ [ b = 17/4 ]
Hence, the value of b is 17/4.
2) 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x, for x?
→ 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
→ -2x + 13 = 25 + 30x - 12x
→ -2x - 18x = 25 - 13
→ -20x = 12
→ x = 12/-20
→ [ x = -3/5 ]
Hence, the value of x is -3/5.
Simplify the expression.
Answer:
A
Step-by-step explanation:
-1/5 j + 3/4 - 5/2 j - 7/8 =
= (-2-25)/10 j + (6-7)/8 =
= -27/10 j - 1/8
(a - 2b)³ when a = -2 and b = -1/2
(-2 - 2(-1/2))^3
= (-2 + 1)^3
= (-1)^3
= -1
This is confusing.
Gradient is???
For the given graph, the gradient of the given blue line in the graph is equal to 2.
As given in the question,
For the given graph,
Consider two pairs of coordinates on the blue line of the given graph,
( x₁ , y₁ ) = ( 2, 2 )
( x₂ , y₂ ) = ( 3, 4 )
Gradient is nothing but slope of the line
Formula to calculate the gradient of the given blue line of the graph is given by:
Gradient = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula we get,
Gradient = ( 4 - 2 ) / ( 3 - 2 )
= 2 / 1
= 2
Therefore, for the given graph, the gradient of the given blue line in the graph is equal to 2.
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