Car value then 8000 then total depreciating valu is:
\(\begin{gathered} \text{Total depreciating =New price-old price} \\ =20000-8000 \\ =12000 \end{gathered}\)If one year depreciating is 4000 so then decpreciating amount is 12000
\(\begin{gathered} \text{Year}=\frac{12000}{4000} \\ \text{year}=3 \end{gathered}\)After 3 year car value is 8000.
5. (03.02 MC)
If f(x) = 2х2 - 30, find f(4). (1 point)
НА
Мен
ка
ООО
Амер
-14
2
o17
Answer:
f(4) =2
Step-by-step explanation:
f(x) = 2х^2 - 30,
Let x=4
f(4) = 2 (4)^2 -30
= 2*16 -30
=32-30
= 2
simplified fraction 8b+3b-2=6+8b+4
Answer:
b=4
Step-by-step explanation:
it works
Which of the following is a trinomial?
A. 9/5x2
B. 12x²+2x+10
C. 13x³
D. 3x-√15
The expression that is trinomial: 12x²+2x+10
Correct option is B.
What is trinomial?A trinomial is an algebraic expression that has three non-zero terms and has at least one variable in the expression. A trinomial is a type of polynomial but with three terms.
Given expressions
A. (9/5)x²
There is only one term, it is monomial not trinomial.
B. 12x²+2x+10
There are 3 terms , it is a trinomial.
C. 13x³
There is only one term, it is monomial not trinomial.
D. 3x-√15
There are only three terms, it is binomial not trinomial.
Hence, 12x²+2x+10 is a trinomial
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log_8(5x+4)=3x-4
Write the log equation as an exponential equation. You do not need to solve for X
The equivalent equation of the logarithmic equation is \(5x + 4 = 8^{3x - 4}\)
How to rewrite the equation?The logarithmic equation is given as
Log_8(5x+4)=3x-4
Rewrite properly as:
\(\log_8(5x+4)=3x-4\)
Apply the following law of logarithm
\(\log_a(b) = x \to a = b^x\)
So, we have:
\(5x + 4 = 8^{3x - 4}\)
Hence, the equivalent equation of the logarithmic equation is \(5x + 4 = 8^{3x - 4}\)
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How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
Another company is advertising 59$ for their service plan I have the same plan but my bills is how much our plan is 15% more but it also includes additional services
If you have the same plan as the company that is advertising for $59, but your bill is 15% more, it's possible that you are receiving additional services or features that are not included in the $59 plan.
How do companies offer pricing plans?It's common for companies to offer different pricing plans for their services, and these plans often come with different features and levels of service.
It's important to review the details of both plans to determine what the differences are.
Some questions you may want to consider are:
What specific services and features are included in each plan?Are there any differences in the level of customer support provided?Are there any limitations or restrictions on usage or access with one plan versus the other?Are there any promotional or introductory pricing offers that may not be reflected in your current bill?Once you have a clear understanding of the differences between the plans, you can decide whether the additional services you are receiving are worth the 15% increase in cost. If you feel that you are not receiving enough value for the additional cost, you may want to consider switching to the lower-priced plan or negotiating with your current provider for a better deal.
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5. 31 x + 2z - Y
= 16 for y
How do I solve this equation?
9514 1404 393
Answer:
y = 31x +2z -16
Step-by-step explanation:
You solve this the same way you solve any 2-step linear equation.
Step 1: Subtract the terms that don't include y.
31x +2z -y -(31x +2z) = 16 -(31x +2z)
-y = 16 -31x -2z . . . . . . . . . simplify
Step 2: Divide by the coefficient of y. (Equivalently, multiply by -1.)
y = -16 +31x +2z
__
I don't like leading minus signs, so I would rearrange the terms:
y = 31x +2z -16
Which ordered pairs are solutions to the equation 3x+12y=2?
Select the correct answer below:
A. (7,10)
B. (-8,-8)
C. (-7,4)
D. (-2,-4)
E. none of the above
Answer:
E
Step-by-step explanation:
Substitute each point into the equation to test whether they would equate to 2. Point a equates to 141, point b to -120, c to 27 and d to -54. Therefore, none of the points would correctly balance/be solutions to the equation
The solutions to the equation 3x + 12y = 2 is the option E. none of the above.
What is Equation?Equations are the mathematical expressions which consist of two expressions including one or more variables connected with an equal to sign.
We have to find the solution of the equation 3x + 12y = 2.
Substitute each ordered pairs given.
A. (7, 10)
(3 × 7) + (12 × 10 ) = 21 + 120 ≠ 2
B. (-8, -8)
(7 × -8) + (12 × -8) ≠ 2
C. (-7, 4)
(3 × -7) + (12 × 4) = -21 + 48 ≠ 2
D. (-2, -4)
(3 × -2) + (12 × -4) ≠ 2
So none of the ordered pairs satisfies the given equation.
Hence there is no solutions for the given equation in the options.
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Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one
baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has
no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c)
below.
a) The value of the mean is μ = 22.5
The value of the standard deviation is σ = 3.5
b) The Value of 15 girls or fewer is significantly low.
The value of 30 girls or more is significantly high.
c) The result 36 is significantly high because 36 is greater than 30 girls. A result of 36 girls is not necessarily definitive proof of the method's effectiveness.
What is the standard deviation?The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.
According to the given informationa) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.
Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.
The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:
μ = np = 45 x 0.5 = 22.5
Therefore, we expect to see around 22-23 girls in a group of 45 couples.
The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:
σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535
Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.
b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.
Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.
Significantly high:
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Significantly low:
Mean - 2σ = 22.5 - 2(3.535) = 15.43
c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.
This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.
It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.
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Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually. What is the annual interest rate?
The annual interest rate for the given compound interset is 6%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Given that, Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually.
A = P(1+r)ⁿ
2560 = 2250(1+r)²
2560 / 2250 = (1+r)²
1.13 = (1+r)²
Taking roots,
1+r = √1.13
r = 0.06
r = 6%
Hence, the annual interest rate for the given compound interset is 6%
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1.1.3. How many litres of milk does Lihle need to make 120 cupcakes? (2)
Lihle would need 30 liters of milk to make 120 cupcakes.
To determine the amount of milk Lihle needs to make 120 cupcakes, we can calculate the total milk requirement by multiplying the milk quantity per cupcake by the number of cupcakes.
Given that the recipe requires 250 milliliters (ml) of milk per cupcake, we can proceed with the calculation:
Convert milliliters to liters:
Since there are 1,000 milliliters in a liter, we divide 250 ml by 1,000 to get the milk quantity per cupcake in liters, which is 0.25 liters.
Multiply the milk quantity per cupcake by the total number of cupcakes: Multiply 0.25 liters (milk per cupcake) by 120 cupcakes.
0.25 liters/cupcake \(\times\) 120 cupcakes = 30 liters.
Therefore, Lihle would need 30 liters of milk to make 120 cupcakes in a US curriculum class.
It's important to note that this calculation assumes the given milk requirement of 250 milliliters per cupcake and does not consider any other ingredients or variations in the recipe.
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The complete question may be like: Assuming that the recipe requires 250 milliliters (ml) of milk per cupcake, how many liters of milk does Lihle need to make 120 cupcakes in a US curriculum class?
Solve: log2(x-1)+log2(x+5)=4
Answer: X=3
Step-by-step explanation:
Mr. and Mrs. Burnet's gross earnings total $5,825. How much of the amount earned is spent on
taxes and insurance?
Taxes, 15%
Entertainment,3%
Car/Gas, 9%
Insurance, 7%
College Fund,
10%
Utilities, 8%
Rent, 21%
Savings, 14%
Food, 8%
Clothing, 5%
Answer:
The Burnets spent .22 × $5,825 = $1,281.50 on taxes and insurance.
How do i find the area of a semicircle
A 2-gallon bucket of paint costs $62.08. What is the price per cup?
What is the volume of this container?
please helppp!!!!!
Answer:
Step-by-step explanation:
Question: 2 Based on the mass of lactose of 0.28 grams in 1 mL of skim milk, calculate the percent composition of lactose in skim milk.
Considering the definition of mass volume percent, the percent composition of lactose in skim milk is 28%.
Mass volume percentThe concentration of solutions is the amount of solute contained in a given amount of solvent or solution. In other words, the relationship between the amount of solute and the amount of solvent is called concentration.
Mass volume percent (% m/V) is a measure of concentration that indicates the number of grams of solute in each 100 mL of solution.
In other words, mass-volume percent is an intensive property that is defined as the mass of solute (in grams) that there are in 100 mL of solution and it is calculated by applying the following equation:
\(Mass volume percent=\frac{mass solute (grams)}{volume solution (mL)}x100\)
This is, mass volume percent is defined as the ratio of the mass of solute that is present in a solution, relative to the volume of the solution, as a whole.
Percent composition of lactose in skim milkIn this case, you know:
mass solute= 0.28 gramsvolume solution= 1 mLReplacing in the definition of mass volume percent:
\(Mass volume percent=\frac{0.28 grams}{1 mL}x100\)
Solving:
mass volume percent= 28 %
Finally, the percent composition of lactose in skim milk is 28%.
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the function h is defined by the following rule. h(x)=4x+5 complete the function table
For the function h(x) the values of h(x) when x=0,1,2,3,4,5 are 5, 9, 13,17,21,25 respectively
The given function is h(x) 4x+5
h of x equal to four times of x plus five
We have to find the values of h(x) for different values of x
x=0, h(x) = 5
x=1, h(x)=9
x=2, h(x)=13
x=3, h(x)=17
x=4, h(x)=21
x=5, h(x)=25
Hence, for the function h(x) the values of h(x) when x=0,1,2,3,4,5 are 5, 9, 13,17,21,25 respectively
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Help!!!! Please
Asap
Answer:
events at A and B are independent because P(A)(B)≠P(A)
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Airline travelers should be ready to be more flexible as airlines once again cancel thousands of flights this summer. The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines (seattlepi.com, July 10, 2008). Suppose the hotline is staffed for 16 hours a day. a. Calculate the average number of calls in a one-hour interval; 30-minute interval; 15-minute interval. (Round your answers to 2 decimal places.) Interval Average Number of Calls 60-minute 30-minute 15-minute b. What is the probability of exactly 6 calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability c. What is the probability of no calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability d. What is the probability of at least two calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.
To calculate the average number of calls in different time intervals and the probability of different events related to these calls.
Part 1:
a. 60-minute interval average number of calls: 400/16 = 25 calls
30-minute interval average number of calls: 25/2 = 12.5 calls
15-minute interval average number of calls: 12.5/2 = 6.25 calls
Part 2:
b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:
P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686
c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:
P(0 calls) = e^-6.25 = 0.0047
d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:
P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906
Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.
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The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Explain what the constant of proportionality (k), means in the context of the situation.
A: 4 sodas cost $6
B: One soda cost $7
C: One soda cost $2
D: One soda cost $4
E: 3 sodas cost $1
Answer:
C: One soda cost $2
Step-by-step explanation:
One soda costs $2. As you can see, which each soda you buy, X and Y go up by two. The relationship of X and Y is x=2y, with X being sodas and Y being dollars
PLEASE HELP 20 POINTS PLUS BRANLIEST
For each graph below, state whether it represents a function.
Step-by-step explanation:
1. Not a function There is no correlation plus there is two y values for the same x.
2.Not a function, There is two y values for the same x
3.Yes, you can draw a linear line through the points to represent the equation, also there is one x for one y.
4.Yes, this is a step function. It seems there are two y values for same x. but the shaded circle means to include it and the open circle means dont include it so it is a function.
5.No, this is a parabola but this function has two y values for the same x
6. Yes, this is a absolute value function and there is multiple x values for the same y so it IS a function
Graph 3,6,4 represents a function because the x’s do not repeat and it passes the vertical line test. Which means 1,2,5 is not a function because the x's do repeat and it does not pass the vertical line test
Hope this helps
Have a great day/night
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Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Answer the questions below. I need answer for letter (c)
Answer:
C is the answer, please choose the letter C that's the answer
Solve sin2x=-1/2 on the interval 0≤ angle≤360°
Answer:
x=135
Step-by-step explanation:
We know that sin(270) = -1/2
So 2x = 270
x = 135
Mia is mixing nuts and cereal squares to make
Answer:
TO MAKE A NUTTY CEREAL ........
7+2^2⋅6+2^3−6
wat dis using pedmas plz :(
Answer:
9^-4 + 2^-3
Step-by-step explanation:
It can't be broken down anymore under the law of indices.
ANSWER
this answer is 33 pls picke me brainliest
answer the question submitted
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.