The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
Solve for x: ( 1/2 )^(x−1)=2^(3x−4)
Answer:
[tex]\huge\boxed{x=\dfrac{5}{4}}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac{1}{2}\right)^{x-1}=2^{3x-4}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\\left(2^{-1}\right)^{x-1}=2^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{(-1)(x-1)}=2^{3x-4}\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\2^{(-1)(x)+(-1)(-1)}=2^{3x-4}\\\\2^{-x+1}=2^{3x-4}\iff-x+1=3x-4\qquad\text{subtract 1 from both sides}\\\\-x+1-1=3x-4-1\\\\-x=3x-5\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-x-3x=3x-3x-5\\\\-4x=-5\qquad\text{divide both sides by (-4)}[/tex]
[tex]\dfrac{-4x}{-4}=\dfrac{-5}{-4}\\\\x=\dfrac{5}{4}[/tex]
Solve x is less than or equal to 0 and x is greater than or equal to -4
Answer:
x = {-3, -2, -1, 0}
Step-by-step explanation:
x ≤ 0
x > -4
then
x {-3, -2, -1, 0}
The graph shows government receipts and outlays (both on-budget and off-budget) for . In what years did receipts appear to climb faster than outlays?
Answer: Receipts appear to climb faster than outlays in 2001, 2002, 2003 and 2004
Step-by-step explanation: So if you see the graph you can see that receipts started to climb faster by the middle of 2001 so in conclusion Receipts appear to climb faster than outlays in 2001, 2002, 2003 and 2004 hope that help you
When government revenues exceed government outlays in a particular year, this is called a d) budget surplus.
What is budget surplus?A budget surplus occurs when a government's income from taxes and other sources of revenue exceed its expenses and spending on public programs, services, and infrastructure. A budget surplus is a positive indicator for the government's financial health as it indicates that the government is able to manage its finances well, generate more revenue than it spends, and potentially pay off any debts.
Here, we have,
In contrast, a budget deficit occurs when government spending exceeds its revenue, resulting in increased debt and a potentially negative impact on the government's credit rating.
Budget surpluses can be used to invest in public projects or programs, reduce debt, or returned to taxpayers in the form of tax cuts.
However, it is important to note that budget surpluses can also be a result of reduced spending on public programs, which can have a negative impact on social services and infrastructure.
Therefore, the correct answer is d) budget surplus.
Learn more about budget surplus here:
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coomplete question:
When government revenues exceed government outlays in a particular year, this is called
A.
the national debt.
B.
a budget deficit.
C.
fiscal policy.
D.
a budget surplus.
Math problem help please
Answer:
No
Step-by-step explanation:
In exponential behavior each number increases by some some power in respect of previous number.
example
2,4,8,16
which is similar as 2 , 2^2,2^3,2^4
here it can be represented as y = 2^x
here we see that each number increases by power of 2, hence it shows exponential behavior.
____________________________________________
In the problem
(1,1), (2,2) ,(3,3), (4,4)
23 see that each number increases by one unit in respect of previous number
and also x is same as y
thus, it can be represented as
y = x which is linear behavior
hence , the given data set shows linear behavior rather than exponential behavior.
what is the solution to the system of equations?
y = 4x-10
y=2
A) (3,2)
B) (2,3)
C) (-2,2)
D) (2,-2)
Answer:
A) (3, 2)
Step-by-step explanation:
y = 4x - 10
y = 2
Substitute y with 2 in the first equation and solve for x.
y = 4x - 10
2 = 4x - 10
12 = 4x
3 = x
Solution: x = 3, y = 2
Answer: A) (3, 2)
Cell phone bills for residents of have a mean of $47/line with a standard deviation of $9/line. Find the probability that the average cost/line for the Math
(6/22 + 5/77) ^2 equalviant to in fraction form
Answer:
676/5929
Step-by-step explanation:
Which one doesn’t belong? Why? Explain.
Answer:
THE M ONE
Step-by-step explanation:
IT HAS A DIFFERENT VARIABLE
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
baby weights: a study was conducted to determin the average birth weight (in ounces) of babies born in hospitals in a five county area of a given state. A Simple Random Sample of Recent birth records at the local hospitals were selected and the confidence interval was calulated to be (117.89 ounces, 124.91), at a 95% level of confidence. Which statistic is appropriate for this confidences interval?
Answer: Sample mean [tex](\overline{x})[/tex]
Step-by-step explanation:
Given: A study was conducted to determine the average birth weight (in ounces) of babies born in hospitals in a five county area of a given state.
i.e. The parameter of the study is [tex]\mu[/tex] . (Population mean).
A Simple Random Sample of Recent birth records at the local hospitals were selected and the confidence interval was calculated to be (117.89 ounces, 124.91), at a 95% level of confidence.
Since a measure of sample is a statistic , and this case statistic is sample mean denoted by [tex]\overline{x}[/tex].
Hence, the statistic is appropriate for this confidences interval : [tex]\overline{x}[/tex]
9 less than twice a number is 13. What is the number?
Answer:
11
Step-by-step explanation:
Answer:
x = 11.
Step-by-step explanation:
9 less than twice a number is the same thing as twice a number minus 9. Let's say that the number is x.
2x - 9 = 13
2x = 22
x = 11
Hope this helps!
A fair die is rolled two times. What is the probability that both rolls are 6?
Answer:
1/36
Step-by-step explanation:
the fair die has 6 equal parts which means its the total
the probability of rolling a 6 is 1/6
the probability of rolling another 6 is 1/6
so u multiply 1/6 times 1/6 which is 1/36
hope this helps
Hey there
To make it perfectly clear, consider the sample space for rolling a die twice. There are 36 equally likely possible outcomes, 6 of which define the event "rolling the same number two times in a row". Then, the probability of this event occurring is 636, which is equal to 16.Hope this hopecheck whether -2 and 2 are zeroes of the polynomial x+2
Answer:
-2 is a zero of the polynomial. 2 is not a zero of the polynomial.
Step-by-step explanation:
A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.
The polynomial is x + 2
Let x = -2:
x + 2 = -2 + 2 = 0
-2 is a zero of the polynomial.
Let x = 2:
x + 2 = 2 + 2 = 4
2 is not a zero of the polynomial.
Mark is solving the following systems Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake? He added equation (3) instead of equation (2) in step 1. He did not multiply equation (3) by the same number as equation (1). He did not eliminate the same variables in steps 1 and 2. He added equation the equations in step instead of subtracting them.
Answer:
Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.
He makes such steps:
1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:
7x+7y+7x+4x-y-7z=14+16,
11x+6y=30.
2. He multiplies equation (3) 4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:
8x-2y-14z+3x+2y+z=32+8,
11x-13z=40.
Thus, he did not eliminate the same variables in steps 1 and 2.
Answer: correct choice is he did not eliminate the same variables in steps 1 and 2.
Hope this helps you :)! If you would mark me brainliest, that would be awesome!
Answer:
correct answer is c
Step-by-step explanation:
edge 2020
solve the inquality 1/2*<10
Answer:
[tex]\boxed{x<20}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} x<10[/tex]
Multiply both sides by 2.
[tex]x<20[/tex]
Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With Upper H1: p≠0.377, the test statistic is z=3.06.
a. 0.0022; fail to reject the null hypothesis
b. 0.0011; reject the null hypothesis
c. 0.0022; reject the null hypothesis
d. 0.0011; fail to reject the null hypothesis
Answer:
Option c: 0.0022; reject the null hypothesis
Step-by-step explanation:
Using a p value calculator, with a z score of 3.06 at 0.05 level of significance for a two tailed test, the p-value is 0.002213. This value is lower than 0.05 thus the result is significant we will reject the null hypothesis.
To calculate the p value by hand, we do this
The test statistic is 3.06. Since the test possesses a not equal to alternative, we look up the test statistic on the z table find the corresponding probability. Thus we have 3.06 - on the z table - 0.99889
Then we subtract from 1 and double it
1-0.99889 = 0.00111 x 2 = 0.0022.
Which system of equations represents the matrix shown below?
Answer:
c
Step-by-step explanation:
im not too sure
Your birthday was in June and your rich Aunt Edna, who had been acting a little weird lately, gave you a check for $25,000 to help you celebrate. You opened a checking account with this money by making a DEPOSIT on June 16th and proceeded to have the time of your life!
The first thing you did was move out of your parent’s house and into a high-rise apartment near downtown. On June 25th, you wrote CHECK #101 to the Trumble Tower for $1800 which included a $600 deposit. You wanted your “new” flat to be really cool, so you decided to decorate it with style and taste. You bought a home theater system and television at Best Buy using your Mastercard. At Rooms-To-Go, you purchased a living room set and bedroom set using your VISA card. You used your DEBIT card on July 4th for a $129.45 purchase at Macy’s. You invited all your friends over the following Saturday night for pizza and drinks and paid for it with your Mastercard.
On July 8th you realized that you needed some food and supplies for a day at the beach. First you went to Starbucks for breakfast using your DEBIT card to pay the $12.83 bill. You stopped at Walmart and bought $132.56 in food and supplies using your DEBIT card. At Kroger’s you used your DEBIT card to purchase $52.23 of groceries and your VISA card to buy gas. You also stopped by the ATM machine at your bank to withdraw $100 for the day at the beach.
On July 15th, you filled out a DEPOSIT slip for your paycheck of $250 since you forgot to sign up for direct deposit. After driving to and from the beach, you realized you needed a new car! You decided to go car shopping on July 16th since you did not have to work that day. At Best Friend Ford, you found the perfect car for $12,498.99! You wrote CHECK #102 for the car. Since you got a new car, you decided that you needed to look good while driving it so you went shopping on July 19th. You purchased clothing at H&M and Abercrombie & Fitch using your Mastercard.
Since you had been driving around in a new car wearing new clothes, your friends decided that they wanted to be paid the money that you owed them. Paul Smith accepted the $20 CHECK #103 you wrote him on July 21st. Linda Boltman and Max Badger wanted cash immediately so you went to the nearest gas station with an ATM and withdrew $80 in cash to pay them on July 23rd. Your bank charged you an ATM service FEE of $2.50 for the withdrawl.
At the end of the month, the bills started to arrive. You forgot to set up online banking with your checking account so you had to write checks. You paid the utility company Greenhouse Energy with CHECK #104 for $155.87 on July 25th, paid AllConnect with CHECK #105 for $150 for TV, internet, and phone on July 27th, paid Mastercard with CHECK #106 for $1518.23 on August 3rd, and paid VISA with CHECK #107 for $1994.02 on August 5th. You wrote a DEPOSIT slip on August 1st for your $250 paycheck and got $30 cash back with the deposit.
THE END
Check Register Codes
ATM – ATM WithdrawalDEB – Debit CardDEP – Deposit
FEE – Checking Account Fee### (check number) – Check
2
Answer:
Dang shes rich, but what is the question?
Step-by-step explanation:
WILL MARK BRAINLIST----- A particular map shows a scale of 1 cm:5 km. What would the map distance be (in cm) if the actual distance to be represented is 14 km?
Answer:
2.8 cm
Step-by-step explanation:
The map scale is 1 cm : 5 km. That means that 1 cm is equal to 5 km.
To find the map distance (in cm), we have to set up a ratio.
[tex]\frac{1 cm}{5 km} = \frac{x}{14 km}[/tex]
X (the map distance in cm) is over the actual distance of 14 km.
Now cross multiply and divide.
[tex]5x = 14[/tex]
[tex]\frac{5x}{5} = \frac{14}{5}[/tex]
[tex]x = 2.8 cm[/tex]
If the actual distance to be represented is 14 km, the map distance (in cm) will be 2.8 cm.
Hope that helps.
Draw the straight line y = x + 2
Answer:
Graph is attached below
Step-by-step explanation:
You first need to plot any two points on the coordinate plane(you can also do more than two points to make it more accurate). Then, using a ruler connect the points and extend the line outwards.
The plotted straight line is as shown in below graph.
Given straight line equation is y = x + 2
To plot a straight line, take two different values of x which output different values of y. Then plot those points in the graph.
After plotting those two points, you connect both dots with straight line and extend that line infinitely from both endpoints.
Example, take x = 1 and x = 2 for straight line y = x + 2
Then we get:
For x = 1, y = 1 + 2 = 3
For x = 2, y = 2 + 2 = 4
The plot of points (1,3) and (2,4) and the straight line y = x + 2 is shown below.
Learn more here:
https://brainly.com/question/959487
Help please!!!!!!! Thxxxxx
Answer:
x= 155°
straight line equals 180°
since you have a side that equals to 25°
you subtract
180°-25° = 155°
Em uma prova de conhecimentos gerais, Fernando errou 3/8 do total de 72 questões. Quantas são as questões que Fernando ACERTOU?
Vamos lá.....
Duas maneiras praticas:
1 - Multiplicar a fraçao pelo total, vai informar quanto a fracao representa (o que é questionado na questao)
2 - Regra de 3.
1:
72 × (3/8)
216/8
27
Ele acertou 27 questoes
(pergunta mais que interessante: qntas questoes havia na prova??? 72)
PLEASE HELP The probability distribution for a
random variable x is given in the table.
1
Step-by-step explanation:
p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)
This, p(X≤20)=0.20+0.15+0.05+0.1+0.25+0.1+0.15
=1
Yesterday at 1:00 P.M., Maria’s train was 42 miles north of Gull’s Beach, traveling north at an average speed of 90 mph. At the same time on the adjacent track, Elena’s train was 6 miles north of Gull’s Beach, traveling north at an average speed of 101 mph. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.23 hours 0.31 hours 3.27 hours 4.36 hours
Answer:b
Step-by-step explanation:
Answer:
3.27 hours
Step-by-step explanation:
Calculate the difference in speed and distance between the trains.
The relative speed:
101 - 90 = 11 mph
Difference in distance:
42 - 6 = 36 miles
[tex]time=\frac{distance}{speed}[/tex]
[tex]t=\frac{36}{11}[/tex]
[tex]t = 3.27[/tex]
Starting from an airport, an airplane flies 210 miles southeast and then 210 miles south. How far, in miles, from the airport is the plane? (Round your answer to the nearest mile.)
Answer:
The plane is 388 miles far from the airport.
Step-by-step explanation:
We know that, the angle between southeast and south directions is [tex]135^\circ[/tex].
The plane travels as per the triangle as shown in the attached image.
A is the location of airport.
First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.
[tex]\angle ABC = 135^\circ[/tex]
To find:
Side AC = ?
Solution:
As we can see, the [tex]\triangle ABC[/tex] is an isosceles triangle with sides AB = BC = 210 miles.
So, we can say that the angles opposite to the equal angles in a triangle are also equal. [tex]\angle A = \angle C[/tex]
And sum of all three angles of a triangle is equal to [tex]180^\circ[/tex].
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow \angle A+135^\circ+\angle A = 180^\circ\\\Rightarrow \angle A = \dfrac{1}{2} \times 45^\circ\\\Rightarrow \angle A =22.5^\circ[/tex]
Now, we can use Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB}[/tex]
a, b are the sides opposite to the angles [tex]\angle A and \angle B[/tex] respectively.
[tex]\dfrac{210}{sin22.5^\circ} = \dfrac{b}{sin135^\circ}\\\Rightarrow \dfrac{210}{sin22.5^\circ} = \dfrac{b}{cos45^\circ}\\\Rightarrow b = 210\times \dfrac{1}{\sqrt2 \times 0.3826}\\\Rightarrow b = 210\times \dfrac{1}{0.54}\\\Rightarrow b \approx 388\ miles[/tex]
So, the answer is:
The plane is 388 miles far from the airport.
Graph f(x) = \xi.
Click on the graph until the graph of f(x) = \xi appears.
Answer:
The graph of IxI is:
y = x for values of x ≥ 0
y = -x for values of x ≤ 0
Then you will see a "V", with the arms pointing up and the vertex in the point (0, 0)
(Something like in the image, but with the arms pointing upside instead of downside)
The actual graph is:
Most states categorize possession of cocaine charges by weight. Possessing less than a gram will result in the lowest level of felony. From there, the weight categories are broken into degrees. The higher the weight, the higher degree of felony charged. New York State uses the measures given in the table below to charge a suspect.Amount Charge
Over ⅛ oz. Class C felony
Over ½ oz. Class B felony
Over 2 oz. Class A-II felony
Over 4 oz. Class A-I felony
If a suspect is in possession of .06 kilograms of cocaine how many ounces does he possess? What will be the charge?
Answer:
Over 2 oz. Class A-II felony
Step-by-step explanation:
One would need to carefully weigh the material.*
0.06 kg ≈ 2.12 oz
Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.
__
If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.
_____
* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.
Write the Verbal phrases as an equation or an inequality? Use "x" as the variable?
Step-by-step explanation:
8.x×8-12=50
8x-12=50
9.1/2x>or=100
10.2 whole number5/9-x=31
Daniel's mom deposits $80 into his savings account for the year. Daniel decides to upgrade his game account which costs $7 per month. How many months will Daniel be able to pay for his game account if his mom doesn't deposit any more money into his savings account?
Answer:
11.43
Step-by-step explanation:
80÷7= 11.428571428571428571428571428571
i hope this helps
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 8% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
Answer:
a) percentage of the employees that will experience lost-time accidents in both years = 1.2%
b) percentage of the employees that will suffer at least one lost-time accident over the two-year period = 10.8%
Step-by-step explanation:
given
percentage of lost time accident last year
P(L) = 8% = 0.08 of the employees
percentage of lost time accident current year
P(C) = 4% = 0.04 of the employees
P(C/L) = 15% = 0.15
using the probability
P(L ∩ C) = P(C/L) × P(L)
= 0.08 × 0.15 = 0.012 = 1.2%
percentage of the employees will experience lost-time accidents in both years = 1.2%
b) Using the probability of the event
P(L ∪ C) = P(L) + P(C) - P(L ∩ C)
= 0.08 + 0.04 -0.012 = 0.108 = 10.8%
percentage of the employees will suffer at least one lost-time accident over the two-year period = 10.8%
Ernie deposits $5,500 into a pension fund. The fund pays a simple interest rate of 6% per year. What will the balance be after one year?
Answer:
Balance after one year will be $5830.