The ordered pairs model an exponential function, where p is the function name and t is the input variable.
{(1,80),(2,240),(3,720),(4,2160)}
What is the function equation in sequence notation?
HURRY!
Answer:
what he said
Step-by-step explanation:
Tim started reading at 6:05 pm. He finished reading at 6:47 pm. How long did Tim read for?
Answer:
Tim read for 42 minutes
Step-by-step explanation:
You have to subtract 6:47 by 6:05 to find how long he read for.
6:47
- 6:05
-----------------
0:42
Answer:
Tim read for 42 minutes
Step-by-step explanation:
Since the hours are the same, we only need to subtract the minutes.
47-5 = 42 minutes
what is the simplest form of the expression below?
Let us simplify each Expression Separately :
✿ [tex]\mathsf{(\frac{cot\theta.cos\theta}{sin\theta}).tan\theta}[/tex]
[tex]\mathsf{\implies (\frac{cot\theta.tan\theta.cos\theta}{sin\theta})}[/tex]
[tex]\mathsf{We\;know\;that : tan\theta.cot\theta = 1}[/tex]
[tex]\mathsf{\implies (\frac{cos\theta}{sin\theta})}[/tex]
[tex]\mathsf{We\;know\;that : cot\theta = \frac{cos\theta}{sin\theta} }[/tex]
[tex]\mathsf{\implies (\frac{cot\theta.cos\theta}{sin\theta}).tan\theta = cot\theta }[/tex]
✿ [tex]\mathsf{(\frac{sin\theta}{cos\theta.tan\theta})}[/tex]
[tex]\implies \mathsf{(\frac{\frac{sin\theta}{cos\theta}}{tan\theta})}[/tex]
[tex]\mathsf{We\;know\;that : tan\theta = \frac{sin\theta}{cos\theta} }[/tex]
[tex]\implies \mathsf{(\frac{tan\theta}{tan\theta})}[/tex]
[tex]\implies \mathsf{1}[/tex]
[tex]\mathsf{\implies (\frac{sin\theta}{cos\theta.tan\theta}) = 1}[/tex]
[tex]\mathsf{The\;Simplest\;form\;of\;the\;Given\;Expression\;is : cot\theta}[/tex]
The simplifying form of expression by using the trigonometry formula is,
⇒ [tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex] = cot θ
The used formula is,
[tex]\frac{sin \theta }{cos \theta } = tan \theta[/tex]
And, [tex]\frac{cos \theta }{sin \theta } = cot \theta[/tex]
Given that,
The expression is,
[tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex]
Now, by using the trigonometry formula, simplify the expression as,
⇒ [tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex]
Substitute [tex]\frac{sin \theta }{cos \theta } = tan \theta[/tex] And, [tex]\frac{cos \theta }{sin \theta } = cot \theta[/tex],
⇒ [tex]\frac{cot(\theta)}{tan\theta} \times tan\theta \div \frac{tan\theta}{tan\theta}[/tex]
⇒ [tex]cot \theta \div 1[/tex]
Therefore, the solution of expression is,
⇒ cot θ
To learn more about trigonometry visit:
brainly.com/question/13729598
#SPJ4
What is the equation of the graph below?
Answer:
Step-by-step explanation:
Y=cos(x+r/2)
Answer:
[tex]y=cos(x+\pi )[/tex]
Step-by-step explanation:
From the graph, we can see that y = -1 when x = 0.
So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.
1. y = cos(x + pi/2) = cos(0 + pi/2) = 0
2. y = cos(x+2pi) = cos(0+2pi) = 1
3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5
4. y = cos(x+pi) = cos(0+pi) = -1
Therefore, the equation of this graph is y = cos(x+pi) = cos(0+pi) = -1.
Which showed how to solve the equation 3/4x=-6 for x in one step
Multiply by the inverse of 3/4 which is 4/3. -6 times 4/3 (or 1 1/3) which is -8 because 1/3 of -6 is -2 and -2 plus -6 is -8.
x=-8
Answer:
Multiply by 4/3
Step-by-step explanation:
To solve for x, we need to isolate x.
We can isolate x in one step by multiplying by the reciprocal of 3/4, which is 4/3
3/4x = -6
Multiplying by 4/3
4/3* 3/4 x = -6 * 4/3
x = -8
plz help Pru, Piper, and Phoebe share spices in the ratio 5:3:4. If Pru has 24 more spices than Piper, how many spices does Phoebe have?
Answer:
Step-by-step explanation: Pru, Piper, Phoebe their ratio 5:3:4 added = 12
What this would mean is that Pru has 5/12 of the total amount, Piper has 3/12 of the total, and Phoebe has 4/12 of the total amount of spices all together.
pru = piper + 24
5/12x = 3/12x + 24
5/12x - 3/12x = 24
2/12x = 24
x = 24 / (1/6)
x = 24 * 6
x = 144 spices in all.
Pru has : 5/12(144) = 720/12 = 60 spices
Piper has : 3/12(144) = 432/12 = 36 spices
Phoebe has : 4/12(144) = 576/12 = 48 spices <====
Answer:
48 spices
Step-by-step explanation:
The number of spices each has is a multiple of 5, 3, and 4.
The number of spices each has is 5x, 3x, and 4x.
Pru has 5x spices.
Piper has 3x spices.
Pru has 24 more spices than Piper, so
5x = 3x + 24
2x = 24
x = 12
Phoebe has 4x spices, so Phoebe has
4(12) = 48
Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
Answer:
a(n) = 130 + (n-1) 13
13th term = 286
Step-by-step explanation:
We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
We know that the arithmetic sequence can be defined by:
[tex]a_n=d(n-1)+c[/tex]
where [tex]d[/tex] = the common difference between consecutive terms ; and
[tex]c[/tex]=[tex]a_1[/tex]
13th term:
[tex]a_{13}=130+(12)13 = 286[/tex]
Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
(1)
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (18, - 5)
m = [tex]\frac{-5+5}{18+2}[/tex] = [tex]\frac{0}{20}[/tex] = 0
(2)
divide number of miles travelled by number of gallons used
= [tex]\frac{132}{6}[/tex] = 22 miles per gallon
at the beginning of school, we had 40 algebra books. We increased our supply by 65%. how many algebra books does the school have now?
I need help with this question please
Answer:
YES
Step-by-step explanation:
First, let's find the total number of seats int he airplane.
14 + 64 + 4 * 108 = 510
The airplane has a total or 510 seats.
Half of the number of seats is 510/2 = 255.
Now let's calculate the number of seats being used and compare with 255.
5/7 * 14 + 5/16 * 64 + 5/9 * 4 * 108 =
= 2 * 5 + 4 * 5 + 12 * 4 * 5
= 10 + 20 + 240
= 270
270 seats are being used.
270 is greater than 255, so more than half of the seats are being used.
Answer: YES
jim and Jon are painting a fence. Jon painted 1/4 of the fence. Jim painted 5/12 of the fence. how much of the fence did they paint in total?
Our first step is the find the lcm of 4 and 12 so we can add the two fractions without having a problem.
The lcm of 4 and 12 is clearly 12 because 12 is a multiple of 4. 12 divided by 4 is 3, so you must multiply by 3/3 to be able to add the two fractions.
1/4*(3/3)=3/12.
So, 3/12+5/12=7/12.
Jim and Jon painted 7/12 of the the fence.
Answer:
2/3 of the fence
Step-by-step explanation:
Jim painted 1/4 of the fence
Jon painted 5/12 of the fence
Together they painted
1/4+5/12 of the fence
We need a common denominator to add the fractions
The common denominator is 12
1/4*3/3 + 5/12
3/12 + 5/12
8/12
This can be simplified by dividing the top and bottom by 4
2/3
Together, they painted 2/3 of the fence.
Solve using elimination
2x+2y=8
3x+2y=12
[tex]\left\{\begin{array}{ccc}2x+2y=8\\3x+2y=12&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+2y=8\\-3x-2y=-12\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\to\boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\2(4)+2y=8\\8+2y=8\qquad\text{subtract 8 from both sides}\\2y=0\qquad\text{divide both sides by 2}\\\boxed{y=0}\\\\Answer:\ \boxed{x=4\ and\ y=0\to(4,\ 0)}[/tex]
One number is 7 more than another.The difference between their squares is 217.What are the numbers?
The problem where one number is 7 more than another and their squares differ by 217 can be solved by creating a system of equations and simplifying to find the numbers are 12 and 19.
Explanation:To solve the problem where one number is 7 more than another and the difference between their squares is 217, we can create a system of equations. Let's assume the first number is x and the second number is x+7. The problem then translates to the equation (x+7)² - x² = 217.
Step-by-step solution:
Expand the left side of the equation: (x+7)² - x² = (x² + 14x + 49) - x².Cancel out the x² terms: 14x + 49 = 217.Subtract 49 from both sides: 14x = 168.Divide both sides by 14: x = 12.Therefore, the first number is 12 and the second number is 12 + 7 = 19.After computing the solution, we find that the two numbers are 12 and 19.
1/2 divided by 3/4 equals
Answer:
2/3
Step-by-step explanation:
You flip the second fraction and multiply the fractions.
When we divide (1/2) by (3/4) we have 2/3.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, The fraction (1/2) is divided by another fraction (3/4).
Now, we know (a/b)/(c/d) = (a/b)×(d/c).
Therefore, (1/2) is divided by (3/4) is,
= (1/2)×(4/3).
= 4/6.
= 2/3.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ5
write in equation in slope intercept form for the line perpendicular to y=-3x+9 that passes through the line 9,9
Answer:
y = 3x - 18
Step-by-step explanation:
The given line, y = -3x + 9, has slope -3. Any new line perpendicular to this has slope +3/1, or just 3.
Start with the general slope-intercept form of the equation of a straight line:
y = mx + b. Now substitute 9 for y, 9 for x and 3 for m:
9 = 3(9) + b. Then b = -18, and the desired equation is y = 3x - 18.
The equation of the line perpendicular to y = -3x + 9 that passes through the point (9,9) is y = ([tex]\frac{1}{3}[/tex])x + 6.
The question is asking to find the equation of a line in slope-intercept form that is perpendicular to the given line y = -3x + 9 and passes through the point (9,9). To find the equation of a line that is perpendicular to the given line, we need to determine the slope of the new line. The slope of any line perpendicular to a line with a slope of m is [tex]-\frac{1}{m}[/tex]. Since the given line has a slope of -3, the slope of the perpendicular line will be [tex]\frac{1}{3}[/tex]. Now using the point-slope form of a line, which is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope, we can write the equation of the new line through the point (9,9) as y - 9 = ([tex]\frac{1}{3}[/tex])(x - 9). Simplifying this equation gives us y = ([tex]\frac{1}{3}[/tex])x + 6, which is in slope-intercept form y = mx + b where m is the slope and b is the y-intercept of the line.
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24? A) 26 B) 28 C) 30 D) 32
CORRECT ANSWERS ONLY, ILL MARK YOU THE BRAINLIEST!!!!!!!!!
Hi There!
Answer:
B) 28
Step-by-step explanation:
y = 12 and x = 14 are both proportional.
y = 24 and x = ? are both proportional.
You notice that 24 is twice as much as 12 so we do the same with x.
14 * 2 = 28
They are both proportional when y = 24 and x = 28.
Hope This Helps :)
Answer:
B) 28
Step-by-step explanation:
The equation for direct proportion is
y= kx
If y =12 and x =14
12 = k * 14
Divide each side by 14
12/14 = k
Simplifying
6/7 =k
y =6/7 x
Now if y =24
24 = 6/7 x
Multiply each side by 7/6 to isolate x
24 * 7/6 = 7/6 * 6/7 x
28 =x
the school decides to raise prices of lunches. The old price for a lunch was $0.75 . Seth buys the school lunch 5 days a week. write a formula that will help seth determine how much he'll now spend on lunch every week
Final answer:
A formula to determine Seth's weekly lunch expense is Weekly Spending = n × 5, where n represents the new price of lunch and the multiplication by 5 accounts for each day of the school week.
Explanation:
To help Seth determine how much he'll now spend on lunch every week, we need to create a formula that takes into account the new price of a lunch and the frequency of his purchases. Let's assume the new price of a lunch is represented by the variable n. Since Seth buys lunch 5 days a week, the formula to calculate his weekly spending will be Weekly Spending = n × 5. This formula can be used to multiply the new price of a lunch (n) by 5, giving Seth the total amount he will spend each week on school lunches.
Solve: E=IR solve for I
Which of these is a tax form that employers send to their employees?
A. W-2 form
B. 1040EZ form
C. Tax schedule form
Answer:
A. W-2 form
Step-by-step explanation:
A skydiver falls 144 feet in 3 seconds. How far does he fall per second
Answer:
144/3=48 ft per sec
Step-by-step explanation:
Answer:
48 per second
Step-by-step explanation:
if you divide 144 by 3 you get 43
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages, is this proportional? Explain
Answer:
Yes it is proportional.
Step-by-step explanation:
35/1 is the same thing as 70/2, as well as 105/3, because they all simplify to 35/1.
use the substitution method to solve the system of
equations.choose the correct ordered pair.
3x+y=10
y=x-2
A.(4,2)
B.(5,3)
C.(2,0)
D.(3,1)
Answer:
I THINK THE ANSWER IS D
TELL ME IF I"M WRONG
Step-by-step explanation:
2x2+5x-12 solve this equation
The expression 2x²+ 5x - 12 has infinite many solutions
How to detemrine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2x²+ 5x - 12
The above is an expression and not an equation
This means that it has infinite many solutions
Hence, the expression 2x²+ 5x - 12 has infinite many solutions
Read more about expressions at
https://brainly.com/question/30492964
#SPJ2
Find the simple interest and the total amount after three years. Principal =11,750= 11 =11,750 rupees Annual rate of interest 7.5%= Total interest == = rupees Total amount = = = rupeesFind the simple interest and the total amount after three years. Principal =11,750= 11{,}750 =11,750 rupees Annual rate of interest=7.5%=Total interest rupees Total amount rupees
The simple interest after three years is ₹2625 and the total amount is ₹14,375.
Explanation:To find the simple interest and total amount after three years, we can use the formula:
Simple Interest = Principal × Rate × Time
Total Amount = Principal + Simple Interest
Given that the Principal is ₹11,750 and the Annual Rate of Interest is 7.5%, we can calculate the Simple Interest by substituting these values into the formula:
Simple Interest = ₹11,750 × 0.075 × 3
After calculating, we find that the Simple Interest is ₹2625.
To find the Total Amount, we can use the formula:
Total Amount = Principal + Simple Interest
Substituting the values into the formula, we get:
Total Amount = ₹11,750 + ₹2625
After calculation, the Total Amount is ₹14,375.
Which algebraic expression repesents the phrase? Cindy studied seven more hours than Nikki studied. a. n+7 b. 7-n c. 7n d. n/7
Answer:
Option a is the correct choice.
Step-by-step explanation:
Let n be number of hours studied by Nikki.
We are told that Cindy studied seven more hours than Nikki studied. This means that number of hours studied by Nikki plus 7 hours equals to the number of hours studied by Cindy.
We can represent this information in an expression as :
[tex]\text{The number of hours studied by Cindy}=n+7[/tex]
We can see from our given choices that expression given in option a represents the number of hours studied by Cindy in terms of hours studied by Nikki.
Therefore, option a is the correct choice.
What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?
Answer:
k = 25
Step-by-step explanation:
(2x - sqrt(k) )^2 Expand this as a binomial
4x^2 - 4x*sqrt(k) + k The middle term must be -20x Solve for k so it is
-4xsqrt(k) = - 20x Divide by -4x
sqrt(k) = -20x/-4x Do the division
sqrt(k) = 5 Square both sides
k = 25
Problem 2: Toshi estimates that she needs 2 minutes to read one page. How many minutes longer did she spend reading the 304-page book than Kira-Kira? Explain how you found your answer.
Hi what’s 7 times 8 again?
Answer:
the ansnwer is 56
mark as brainlest please!!
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Add 7, 8 times and you'd get 56
somebody help me out please
Answer:
Boys : girls
5:6
Step-by-step explanation:
Boys : girls
20:24
We can divide each of these numbers by 4
20/4 =5
24/4 =6
Boys : girls
5:6
Answer:
For every 5 boys there are 6 girls
Step-by-step explanation:
because 20 and 24 both go into the same number and thats four.
20 divided by 4 = 5
24 divided by 4= 6
so for every 5 boys there are 6 girls
The radius of the circle shown below is 7 inches what is the approximate length of AB?
Answer:
16.5 inches
Step-by-step explanation:
WE have arc length formula for a circle as
Arc length = [tex]\frac{x}{360} (2\pi r)[/tex]
where x is the central angle the arc subtends at the centre.
Here x = 135
r= 7 inches
Hence arc length
=[tex]\frac{135}{360} (2\pi )(7) =16.5"[/tex]
Hence option B
16.5 inches is right answer for arc length for a circle of radius 7 inches.
The measure of length of arc AB is 16.5 inches. Therefore, option B is the correct answer.
What is the relationship between a central angle and its arc?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Given that, the radius of the circle is 7 inches and measure of arc AB is 135°.
Let O be the center of circle.
So, ∠AOB=135°
We know that, arc length of circle is θ/360° ×2πr
= 135°/360° ×2×3.14×7
= 0.375×2×3.14×7
= 16.485
≈ 16.5 inches
Therefore, the approximate length of AB is 16.5 inches.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
#SPJ5