Step-by-step explanation:
the slope = (5-0)/(5-4)
= 5/1
= 5
Answer:
b
Step-by-step explanation:
hola so today i have just showed you my answer i got and it was right let me know if you got it wrong>
The number of people,y , leaving on cruises from a certain state from to can be approximated by , where is the number of years after
Therefore, we can predict that approximately 5,845,200 people left on cruises from this state in the year 2010.
What in mathematics is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
This linear equation depicts the number of passengers embarking on cruises from a certain state between 2005 and 2009.
It goes like this:
y = 117,000x + 4,919,200
For example, if x = 0, which represents the year 2005, then y = 4,919,200. If x = 1, which represents the year 2006, then y = 4,919,200 + 117,000 = 5,036,200. Similarly, if x = 2, which represents the year 2007, then y = 4,919,200 + 2(117,000) = 5,153,200.
y = 117,000(5) + 4,919,200
y = 5,845,200
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Question:
The number of people, y, leaving on cruises from a certain state from 2005 to 2009 can be approximated by y=117,000x+4,919,200, where x is the number of years after 2005.
Please help! I can give brainliest also! Thank you!
9514 1404 393
Answer:
a) n(A∪B) = 20
b) n(A) = 31
Step-by-step explanation:
The relevant formula is ...
n(A∪B) = n(A) +n(B) -n(A∩B)
__
a) n(A∪B) = 5 +18 -3 = 20
b) 32 = n(A) +14 -13 ⇒ n(A) = 31
For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10
The function f(x) = 2x² - 7x + 10 is an odd function.
f(-x) = 2(-x)² - 7(-x) + 10
= 2x² + 7x + 10
-f(x) = -[2x²- 7x + 10]
= -2x² + 7x - 10
To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).
1. f(-x) = 2x² + 7x + 10
2. -f(x) = -2x² + 7x - 10
To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.
1. f(-x) = 2x² + 7x + 10
= f(x) (not equal to -f(x))
Since f(-x) is not equal to -f(x), the function is not even.
Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.
2. -f(x) = -2x² + 7x - 10
= -(2x² - 7x + 10)
= -(f(x))
Since -f(x) is equal to -(f(x)), the function is odd.
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Joe is asked to prove that the sum of the interior angles (, , and ) of the triangle he has drawn equals 180°. His triangle is represented in the diagram above, and his work is shown below.
The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.
What is angle sum property of triangle?The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.
To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.
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(8.4 x 10^6)÷(2.0 x 10^3)
Solution
\(\begin{gathered} \frac{8.4\times10^6}{2.0\times10^3}=\frac{8.4\times10^6}{2.0\times10^3} \\ \\ \frac{8.4\times10^6}{2.0\times10^3}=\frac{8.4}{2}\times\frac{10^6}{10^3} \\ \\ \frac{8.4\times10^6}{2.0\times10^3}=4.2\times10^{6-3} \\ \\ \frac{8.4\times10^6}{2.0\times10^3}=4.2\times10^3 \end{gathered}\)Therefore, the answer is
\(4.2\times10^3\)compare these decimals 0.7______0.6999
1. >
2.<
3.=
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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which order pair satisfies the relation 2x+y= -3 ?
a(-1,4)
b(-2,-1)
c(0,-3)
d(-3,-3)
The ordered pair (0, -3) satisfies the relation 2x + y = -3.
To determine which ordered pair satisfies the relation 2x + y = -3, we can substitute the values of x and y from each option into the equation and check if the equation holds true.
a) (-1, 4):
2(-1) + 4 = -2 + 4 = 2 (not equal to -3)
b) (-2, -1):
2(-2) + (-1) = -4 - 1 = -5 (not equal to -3)
c) (0, -3):
2(0) + (-3) = -3 (equal to -3)
d) (-3, -3):
2(-3) + (-3) = -6 - 3 = -9 (not equal to -3)
Therefore, the ordered pair (0, -3) satisfies the relation 2x + y = -3.
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What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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Need answer ASAP What is the circumference of the circle
Answer:
157.08 in.
Step-by-step explanation:
C=2πr=2·π·25≈157.07963
Answer:
A
Step-by-step explanation:
look at pic below.
Here are steps to find the circumference of a circle with a radius of 25 inches:
1. Recall the formula for the circumference of a circle:
C = 2πr
2. Substitute the value of the radius into the formula:
C = 2π(25)
3. Simplify the expression by multiplying 2π by 25:
C = 50π
4. Use the approximate value of π, which is 3.14, to get a numerical answer:
C ≈ 50(3.14)
5. Calculate the product:
C ≈ 157
Therefore, the circumference of a circle with a radius of 25 inches is approximately 157 inches.
Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found. Type of Crust Number Sold Thin crust 293 Thick crust 216 Stuffed crust 174 Pan style 195 Based on this information, of the next 3000 pizzas she sells, how many should she expect to be thin crust? Round your answer to the nearest whole number. Do not round any intermediate calculations. pizzas X
Answer:
1120
Step-by-step explanation:
Given the information below:
The Relative Frequency of selling a pan style pizza =
Therefore, if Valentino's Pizzeria were to sell 4000 pizzas, the expected number of Pan style pizza sold will be:
Number of Pan Style Pizza Sold = Relative Frequency of pan Style Pizza Purchase X Total Number of Sales
They should expect to sell 1120 pan Style pizzas.
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the values of 9p5 ?
A: 45
B: 126
C: 3024
D: 15,120
Answer:
The correct answer is D:-15,120
\(^{n}P_{r}=\dfrac{n!}{(n-r)!}\\\\\implies ^{9}P_5 = \dfrac{9!}{(9-5)!} =\dfrac{9!}{4!} = 15120\)
The answer is D.
Classify the following triangle. Check all that apply.
98
41
41
9514 1404 393
Answer:
obtuse isosceles triangle
Step-by-step explanation:
These cannot be side length measures. Their total is 180, so the could be angle measures. The largest is more than 90°, so is an obtuse angle. Two of the measures are the same, so the triangle is isosceles.
The triangle is ...
obtuseisoscelesPlease help, I will give brain list.
Answer:
12.25
Step-by-step explanation:
3.5*3.5=12.25
Answer:
12.25m^2
Step-by-step explanation:
3 1/2 × 3 1/2
3 1/2 is equivalent to 7/2
7/2 × 7/2= 49/4
this simplifies to 12.25
answer: 12.25 m^2
A new drug claims to reduce the number of epileptic seizures an individual with epilepsy diagnosed before the age of 4 years
old. In a study on the effectiveness of the new drug, 300 subjects were given the new drug and another 300 subjects were
given a placebo.
At the end of the 1-year study, the group given the new drug reported an average of 1.3 epileptic in the year. The group given the
placebo reported an average of 3.1 epileptic seizures in the year.
The data from the study are rerandomized 10 times. The difference of the means from rerandomization are
1.2, 2.4, 1.8, 1.3, 2.1, 0.9, 1.5, 0.7, 2.1, and 2.3.
What is the most appropriate conclusion about the new drug to draw from this information?
The new drug appears to reduce epileptic seizures since the rerandomized mean differences are considerably less
than the mean difference found between the two groups studied.
The new drug does not appear to reduce epileptic seizures since the rerandomized mean differences are close to
the mean difference found between the two groups studied.
The new drug does not appear to reduce epileptic seizures since the rerandomized mean differences are
considerably less than the mean difference found between the two groups studied.
The new drug appears to reduce epileptic seizures since the rerandomized mean differences are close to the mean
difference found between the two groups studied.
The new drug appears to reduce epileptic seizures since the rerandomized mean differences are close to the mean difference found between the two groups studied.
How to find the oprionThe rerandomized mean differences are:
1.2, 2.4, 1.8, 1.3, 2.1, 0.9, 1.5, 0.7, 2.1, and 2.3.
Several of these values are close to the observed mean difference of 1.8, which suggests that the observed difference could be due to chance alone.
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The variable n represents the number of scooters in a shipping container. The weight of the container in pounds, including the scooters, can be modeled using the expression 250+23n. How much will the container weigh with 20 scooters in it?
Answer:
710
Step-by-step explanation:
the equation is 250+23n
n=20 so
250+23x20
23 x 20 = 460
250 + 460 = 710
Enter the unknown value that makes this statement true:
20% of _ is 40.
Answer:
50
Step-by-step explanation:
0.8 * x = 40
40/0.8=50
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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SHOW WORK FOR BRAINLIST
A $55 sweater is on sale for 20% off. Today only, you can take an additional 10% off the sale price. How much does the sweater cost today?
Answer:$39.60
Step-by-step explanation:
$55 x 0.80= $44
$44 x 0.90=$39.60
Or
$55x 0.20=$11
55-11=44
$44x 0.10=4.40
$44 - $4.40=$39.60
Tyler is packing his bags for vacation. He plans to pack two outfits for each day of vacation.
Let d = the number of days of his vacation.
Write an expression for the total number of outfits WILL BRIANLIST
=========================================
Work Shown:
d = number of days of his vacation
1 day = 1*2 = 2 outfits
2 days = 2*2 = 4 outfits
3 days = 3*2 = 6 outfits
4 days = 4*2 = 8 outfits
5 days = 5*2 = 10 outfits
and so on.
In general we can say,
d days = d*2 = 2d outfits
d is simply a placeholder or a box where we'll place a number inside. For example, if he's on vacation for d = 7 days, then he'll bring 2*d = 2*7 = 14 outfits.
The expression 2*d is the same as 2d. We can leave out the multiplication sign since having a number next to a variable like this implies multiplication.
The expression for the total number of outfits is 2d
The total number of outfits Tyler plans to pack for his vacation can be expressed as 2 multiplied by the number of days of his vacation, which we'll denote as 'd'. Since Tyler plans to pack two outfits for each day, multiplying 'd' by 2 will give us the total number of outfits.
In this expression, 'd' represents the number of days of Tyler's vacation, and multiplying it by 2 accounts for the two outfits planned for each day. This expression allows us to calculate the total number of outfits based on the length of Tyler's vacation.
For example, if Tyler's vacation is 7 days long, the expression 2d would yield:
2 * 7 = 14
Therefore, Tyler would plan to pack 14 outfits for his 7-day vacation. The expression 2d allows flexibility to calculate the total number of outfits based on the specific number of vacation days.
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what is the formula for this seqyence 5,10,20,40,80
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
The value of a house is increasing by $2500 per year. If it is worth $190,000 today, what will it be worth in four years?
Answer:
5000
Step-by-step explanation:
i dont know this answer but i try that
Using the net below find the surface area of the triangular prism
Help with the slop thanks
why is the world so bad
Answer:
because humans are being evil to mother nature
Answer:
cOrOnAvIrUs
Step-by-step explanation:
a pyramid is made of metal balls. the lowest layer consists of 4 by 4 balls ,the next layers of 3 by 3 and 2 by 2 and one ball at the top. every two balls that touch each other are connected with screw. how many screws are used to build this pyramid?
Answer:
total answer is a 34.
Step-by-step explanation:
4444
4444
4444
4444=18
333
333
333=12
22
22=4
Total is 34.
Answer:
answer is 96
Step-by-step explanation:
MARK ME AS THE BRAINLIEST
Find the x- and y-intercepts of the graph of 2x−8y=32. State your answers as whole numbers or as improper fractions in simplest form.
PLEASE HELP
Answer:
x= 16 y= -4
Step-by-step explanation:
So for the x intercept we get positive 16, or (16,0). And then for the y intercept we get negative 4, or (0,-4). Have a great day!! :)
Lynn is paid $2.08 for every usable
machine part she makes. During one
week, she made 220 parts, 14 of which
were unusable. What was Lynn's gross
pay for the week?
Answer:
Lynn's gross pay for the week is $29.12
Step-by-step explanation:
Lynn gets paid $2.08 for each usable machine part she makes. Out of the 440 parts she made this week, only 14 parts were usable.
Therefore, use the equation:
$2.08 x 14 = $29.12
In an examination, 40% students passed in Maths only, 30% passed in Science only and 10%
students failed in both the subjects. If 400 students passed in Science, find the total number of
students by drawing a Venn diagram.
help me
Answer:
The total number of students is 800.
Step-by-step explanation:
Given that in an examination, 40% students passed in Maths only, 30% passed in Science only and 10% students failed in both the subjects, to determine the total number of students if 400 students passed in Science the following calculation must be performed:
100 - 40 - 30 - 10 = 20
20 + 30 = 50
50 = 400
100 = X
100 x 400/50 = X
800 = X
Thus, the total number of students is 800.
Hope it wasn't illogical: 30x=90y x=? (in terms of y)
Answer:
x=3y
Step-by-step explanation:
if you divide both sides by 30, you will get x=3y
Answer:
\(\displaystyle x = 3y\)
Step-by-step explanation:
\(\displaystyle 30x = 90y\)
The equation must be for \(x\) in terms of \(y\).
Divide both sides by \(30\) to isolate the \(x\) variable on one side.
\(\displaystyle \frac{30x}{30} =\frac{90y}{30}\)
\(\displaystyle x = 3y\)