Answer:
No, because there isn't a pattern in the numbers. For the y you are adding one but for the x there isn't a shown pattern. Also when graphing the table, it doesn't make a straight line.
Step-by-step explanation:
For example, look at the table shown. On the x you are adding 1 and for the y you are adding 2. This makes it a function and creates a straight line
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
Learn more on percentage change here;
https://brainly.com/question/8728504
#SPJ1
A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
Answer:
1 lb 8 oz
Step-by-step explanation:
The weight gain was the difference between the current weight and the beginning weight: 20 lb 2 oz less 18 lb 10 oz. Since 10 oz is less than 2 oz, we must 'borrow" 1 lb, or 16 oz, to be able to perform the subtraction. Thus, 20 lb 2 oz becomes 19 lb + 16 oz + 2 oz, or 19 lb 18 oz.
Then the indicated subtraction comes out to 1 lb 8 oz, which represents the baby's weight gain over the past month.
Nicholas is currently in eighth grade and intends to attend a state college when he finishes high school. Nicholas’s parents currently have some money invested in mutual funds, but would like to invest this money in a more secure investment now to pay for college in 4 years. If they will need $25,000, how much do Nicholas’s parents have to invest now in a 48month CD that has a rate of 4.59% compounded monthly?
Answer: he has 10 monthly
Step-by-step explanation:
see from the question
the sum of x and y is 7. The value of y is three more than the value of x.Write a system of equations to model this.
Answer: x+y=7, x+3=y
Step-by-step explanation:
(q13) You invest in a fund and it is expected to generate $3,000 per year for the next 5 years. Find the present value of the investment if the interest rate is 4% per year compounded continuously.
The present value of the investment in the fund is $2,455.32.
In order to calculate the present value of the investment in a fund, which is expected to generate $3,000 per year for the next 5 years with an interest rate of 4% per year compounded continuously,
we can use the formula for the present value of an annuity:
PV = A / r,
where PV is the present value, A is the annuity payment, and r is the interest rate.
However, since the interest rate is compounded continuously, we need to use the formula PV = A / e^(rt),
where e is the constant 2.71828, t is the time period in years, and r is the interest rate.
In this case, A = $3,000, r = 4%, and t = 5 years.
Therefore, the present value of the investment is:
PV = $3,000 / e^(0.04 x 5)
= $3,000 / e^(0.2)
= $3,000 / 1.2214
= $2,455.32 (rounded to the nearest cent).
To learn more about : present value
https://brainly.com/question/30390056
#SPJ8
what type of accociation would you expect in this a persons age and number of pets the have
Answer:
if they have less pets they are probably young and aren't responsible to take care and if they have alot of old they are probably old
A manager is going to purchase new processing equipment and must decide on the number of spare parts to order with the new equipment. The spares cost $179 each, and any unused spares will have an expected salvage value of $49 each. The probability of usage can be described by this distribution: Number 0 1 2 3 Probability .05 .60 .20 .15 Click here for the Excel Data File If a part fails and a spare is not available, 2 days will be needed to obtain a replacement and install it. The cost for idle equipment is $640 per day. What quantity of spares should be ordered
Answer:
service level is 90.78% ( it falls on cumulative probability of 1.00 or 100%)
Therefore the quantity of spares that should be ordered is 3
Step-by-step explanation:
Given that;
spares cost = $179 each
salvage value = $49 each
distribution of the probability of usage;
Number Probability cumulative Probability
0 0.05 0.05
1 0.60 0.65
2 0.20 0.85
3 0.15 1.00
Now
the cost of stock-out (underestimation) Cu
= $640 per day × 2 days = $1,280
the cost of excess inventory (overestimation) Co
= Unit cost - salvage value = $179 - $49 = $130
Therefore Service Level = Cu / ( Cu + Co )
we substitute
Service Level = $1,280 / ( $1,280 + $130 )
= $1,280 / $1410
= 0.9078 or 90.78%
so service level is 90.78% ( it falls on cumulative probability of 1.00 0r 100%)
Therefore the quantity of spares that should be ordered is 3
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow
The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
It is given that:
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow
From the data given in the question.
Red : 6
Blue: 4
Green: 8
Yellow : 1 (half of 2)
Pink: 1 (half of 2)
Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
Learn more about the conditional relative frequency here:
brainly.com/question/8358304
#SPJ1
Factor 15x + 35 using the GCF.
A. 5(3x + 7)
B. 5(3x + 35)
C. 15(x + 2)
D. 7(2x + 5)
Answer:
A
Step-by-step explanation:
How many of these functions have an end behaviour of x---> infinity , f(x) ---> infinity
Verify each function
Option A
x----> infinity -----> f(x)=1 (is a constant)
is not a solution
Option B
x----> infinity f(x) ----> infinity
Is a solution
Option C
x----> infinity f(x) ----> infinity
is a solution
Option D
x ----> infinity f(x) tends to zero
Is no a solution
Option E
is a cyclic function
Is not a solution
Option F
is a cyclic function
Is not a solution
Option G
x----> infinity f(x) ----> infinity
is a solution
Option H
x----> infinity f(x) ----> infinity
is a solution
therefore
The answer is
Options B,C,G, and HSt. Patrick's Day Problem Solving
Use the weight on the scales to determine the weight of each egg.
Note: Identical eggs weigh the same amount,
3.5
6
5.5
The data below shows the money Paritosh spends on a weekend. What will be the central angles of each of these categories?with the numbers 40 100 50 50
The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:
Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.
Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).
Central angle for the first category: (40/240) * 360 = 60 degrees.
Central angle for the second category: (100/240) * 360 = 150 degrees.
Central angle for the third category: (50/240) * 360 = 75 degrees.
Central angle for the fourth category: (50/240) * 360 = 75 degrees.
The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.
For more question on angles visit:
https://brainly.com/question/31615777
#SPJ8
Note the search engine cannot find the complete question
Which expression is equivalent to the expression below?
A.8*1/6
B.8*5/6
C.15*1/6
D.15 * 5/6
Answer:
D I created D 11239102390
estimate the original volume of the pyramid in fig 15.28 given that it's frustum has a 4 m by 4 m squared top which is 12 m vertically above the square base which is 20 m by 20 m (assume that the original problem was raised to a point . Neglect the volume of the entrance of the right of the photograph)
Answer:
Step-by-step explanation:
To estimate the original volume of the pyramid in Figure 15.28, we can use the formula for the volume of a frustum of a pyramid. The frustum is the portion of the pyramid between the top and bottom, created by removing the top section.
The formula for the volume of a frustum of a pyramid is:
V = (1/3) * h * (A + sqrt(A * B) + B)
Where:
V = Volume of the frustum
h = Height of the frustum (vertical distance between the top and bottom)
A = Area of the top base
B = Area of the bottom base
Given the dimensions provided, we can calculate the areas of the bases:
Area of the top base (A) = 4 m * 4 m = 16 m²
Area of the bottom base (B) = 20 m * 20 m = 400 m²
The height of the frustum (h) is given as 12 m.
Now we can plug these values into the formula:
V = (1/3) * 12 m * (16 m² + sqrt(16 m² * 400 m²) + 400 m²)
Calculating the square root and simplifying:
V = (1/3) * 12 m * (16 m² + 20 m² + 400 m²)
V = (1/3) * 12 m * (436 m²)
V = 1744 m³
Therefore, the estimated original volume of the pyramid in Figure 15.28 is approximately 1744 cubic meters.
Leslie paid $12 for 4 books. What is the unit rate of the book purchase?
Answer: 3 dollars for a book.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve the following exponential equation. Express your answer as both an exact expression and a decimal approximation rounded to two decimal places. 8^2x−4=1741
the result is x= 1/2[㏑1745/㏑8] as exact expression and x= 1.79 when approximation in decimal.
What is exponential equation?the equations where variables present as exponent form.
how to solve exponential equation?we take ㏑ or㏒ on both side of equation to solve unknown variables.
in the equation 8∧2x -4 =1741
8∧2x= 1741+4
8∧2x =1745
we take㏑ on both sides of equation
㏑8∧2x= ㏑1745
as per logarithm law
2x㏑8 =㏑1745
x= 1/2[㏑1745/㏑8]
hence, x=1.79 is the solution.
to read more about exponential equation visit:
https://brainly.com/question/29506679
#SPJ1
If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.
Proving X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e".
Given :
If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.
Take a computable surjection :
f : ω → W.
Defined G = { f ( x ) ∣ x ∈ ω and ∀y < x ( f ( y ) < f ( x ) ) }.
here clearly, G ⊆ W .
And G is infinite. For if f ( x ) ∈ G, take the smallest y such that f ( y ) > f ( x ); then f ( y ) ∈ V.
Learn more about the theorem here:
https://brainly.com/question/12642646
#SPJ4
Urgent giving Brainliest
Answer:
Step-by-step explanation:
https://brainly.com/question/28299043
I answered it here.
Solve for a side in right triangles
Answer:
The answer is AC = 3.76
Step-by-step explanation:
CohCahToa
Coh: sin(theta) = Opp/Hyp
sin(theta°) = AC/AB
sin(70°) = AC/4
AC = 4*sin(70°)
AC ≈ 3.758770483
AC = 3.76
Answer:
AC = 3.76
Step-by-step explanation:
The opposing side of ∠B needs to be found, where the value of the hypotenuse is given. Take the sin ratio.
sin∠B = AC/4sin70° = AC/40.94 = AC/4AC = 4 x 0.94AC = 3.76Help me please on math
Answer:
x =+- 6
is the answer.
Because 6² = (-6)²
Answer:
c
Step-by-step explanation:
multiply
What is the domain of f(x) = 2|x - 3| + 1 ?
Domain: all reals, (-∝, ∝)
All inputs for x result in a solution.
105,826 rounded to the 10th
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
3/5 of the students in Süd- class are in chorus. If there are 25 people in her class, how many are in the chorus?
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
Learn more about speed here:
brainly.com/question/13943409
#SPJ1
sin θ=√5/3, cos θ=2/3
3/2
2√5/5
√5/2
3√5/5
9514 1404 393
Answer:
cos θ = 2/3
Step-by-step explanation:
We presume you want the value of the cosine for
sin θ = √5/3 ≈ 0.745356
__
There are several possible approaches you can take to this problem.
1) Using the trig identity:
cos = √(1 -sin²)
cos θ = √(1 -(√5/3)²) = √(1 -5/9) = √(4/9)
cos θ = 2/3
__
2) Another approach you can take is to use a calculator to find the angle, then use the calculator to find the cosine of the angle.
cos θ = cos(arcsin(√5/3)) = cos(arcsin(0.745356)) = cos(48.19°) ≈ 0.666667
cos θ = 2/3
__
3) Yet another approach is to check the answer choices for reasonableness.
You are given sin θ = 0.745356. This is more than 0.707107, the value where sine and cosine are equal, so the cosine value must be less than 0.707. The answer choices are ...
2/3 ≈ 0.667
3/2 . . . greater than 1; not a viable cosine value
2√5/5 ≈ 0.894 . . . too large
√5/2 . . . greater than 1; not a viable cosine value
3√5/5 . . . greater than 1; not a viable cosine value
So, just looking at the values of the offered answer choices, you can choose the correct one. It is the only value with the appropriate magnitude.
cos θ = 2/3
36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
Find the length of x??
Answer:
8 meters.
Step-by-step explanation:
the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)
need help with math
Answer:A
Step-by-step explanation:
yes
Allen bought a computer that was 25% off the regular price of $480.
If an 5% sales tax was added to the cost of the computer, what was the total price Allen paid for it?
Answer:
144? or 126 sorry
Step-by-step explanation: