Answer:
Zero
Step-by-step explanation:
Undefined is a Vertical Line, remember the 2 U's Undefined is Up and Down. Zero, is straight across.
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
In recent year, the total receipts for the US federal government were $2154 billion. The total outlays were $2472 billion. The deficit was $318 billion. What would the deficit have been, if there had been a 2% decrease in total receipts
If there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.
If there had been a 2% decrease in total receipts, the new total receipts would be:
New total receipts = $2154 billion - (2% of $2154 billion)
New total receipts = $2154 billion - $43.08 billion
New total receipts = $2110.92 billion
The total outlays would remain the same at $2472 billion.
So, the new deficit would be:
New deficit = New total outlays - New total receipts
New deficit = $2472 billion - $2110.92 billion
New deficit = $361.08 billion
Therefore, if there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.
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In a certain city, the monthly electricity bills for the month of April followed a normal distribution with a mean of $65.43 and a standard deviation of $9.22. The number of households in the city is 261,500.
Rounded to the nearest hundred, what is the expected number of households that paid between $50 and $70?
A)91,100
B)130,600
C)168,100
D)248,200
The expected number of households that paid between $50 and $70 is
168,100.
As, z-score, also known as the standard score, is a statistical measure that represents the number of standard deviations a particular data point is away from the mean of a distribution.
The formula to calculate the z-score for a data point "x" in a distribution with mean "μ" and standard deviation "σ" is:
z = (x - μ) / σ
First, let's calculate the z-scores:
For $50:
z1 = (50 - 65.43) / 9.22
For $70:
z2 = (70 - 65.43) / 9.22
Using a standard normal distribution table
P(z < z1) = P(z < (50 - 65.43) / 9.22)
P(z < z2) = P(z < (70 - 65.43) / 9.22)
Let's denote these probabilities as p1 and p2, respectively.
So, Expected number = Total number of households * (p2 - p1)
Substituting the given values:
Expected number = 261,500 (p2 - p1)
Now, z1 = (50 - 65.43) / 9.22 = -1.6729
z2 = (70 - 65.43) / 9.22 = 0.4952
So, the corresponding probabilities:
P(z < -1.6729) ≈ 0.0475
P(z < 0.4952) ≈ 0.6879
Expected number = 261,500 (0.6879 - 0.0475)
Expected number ≈ 261,500 x 0.6404
Expected number ≈ 167,100
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The expected number of households is 168,100.
Option C is the correct answer.
We have,
To find the expected number of households that paid between $50 and $70, we need to calculate the z-scores for both values and then use the cumulative distribution function (CDF) of the normal distribution to find the probability.
Finally, we multiply this probability by the total number of households to get the expected number.
First, let's calculate the z-score for $50:
\(z_1\) = (\(x_1\) - μ) / σ
= (50 - 65.43) / 9.22
≈ -1.671
Next, let's calculate the z-score for $70:
\(z_2\) = (\(x_2\) - μ) / σ
= (70 - 65.43) / 9.22
≈ 0.495
Now, we can use the CDF to find the probability of the values falling between these z-scores.
\(P(X_1 < X < X_2) = P(z_1 < Z < z_2)\\= P(z < z_2) - P(z < z_1)\)
Using a standard normal distribution table or a calculator, we can find the corresponding probabilities:
P(z < -1.671) ≈ 0.0467
P(z < 0.495) ≈ 0.6868
Subtracting the two probabilities, we get:
P(-1.671 < z < 0.495) ≈ 0.6868 - 0.0467 ≈ 0.6401
Finally, we multiply this probability by the total number of households:
Expected number of households
= P(-1.671 < z < 0.495) * Total number of households
= 0.6401 * 261,500
≈ 167,587.15
Rounding this value to the nearest hundred, we get:
Thus,
The expected number of households is 168,100.
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Zahra used a 40% discount coupon while purchusing new clothes . her total bill , after discount , was AED 600. What was the original amount of the bill?
Answer:
AED 1000
Step-by-step explanation:
The price is 600 after 40% discount
if original price is ,
100% : x = 60% : 600
1 : x = 0.6 : 600
600 = 0.6x
x = 1000
For accounting purposes, depreciation is: a. a decline in value of an asset. b. an allocation of a cost of an asset. c. the selling price of an asset
For accounting purposes, depreciation is an allocation of a cost of an asset.
What is depreciation?Both depreciation and amortization are techniques for spreading out an asset's cost throughout its useful life, although they are employed for various asset categories. Whereas amortisation is used for intangible assets like patents, copyrights, and trademarks, depreciation is utilised for tangible assets like buildings, machinery, and equipment. Depreciation is a method used to account for an asset's decline in value as a result of damage or obsolescence. During the course of the asset's useful life, the asset's cost is distributed to match the income it produces.
Depreciation is an accounting technique used to distribute a tangible asset's cost over the course of its useful life.
Hence, for accounting purposes, depreciation is an allocation of a cost of an asset.
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find the limit of the sequence using l'hôpital's rule. bn = 4 n ln 1 1 n
limₙ→∞bₙ= 4*e^(limₙ→∞ [ln(1+1/n)/n]/[1/n^2]) = 4*e^(limₙ→∞ (1/(n*(1+n))^2)) = 4*e^(0) = 4Therefore, the limit of the sequence using L'Hospital's rule is 4.
The given sequence is bₙ = 4n ln (1 + 1/n).
To determine the limit of the sequence bₙ using L'Hospital's rule, we follow the steps given below:
Step 1: We have to find the limit of the sequence bₙ in the given form.
That islimₙ→∞bₙ= limₙ→∞[4n ln(1 + 1/n)]
Step 2: We will simplify the above expression to get an indeterminate form 0/0 using the formula n ln (1 + 1/n) = ln [(1 + 1/n)^n].Therefore, limₙ→∞bₙ= limₙ→∞[4 ln(1 + 1/n)^n] / [1/(4n)]
We can rewrite the above expression as below using the exponential function. limₙ→∞bₙ= 4 limₙ→∞ [(1 + 1/n)^n]^(4/n)
Step 3: We evaluate the limit on the right-hand side of the above equation.
It is known as e^(limₙ→∞ (4/n)*ln(1+1/n)).Therefore, limₙ→∞bₙ= 4*e^(limₙ→∞ (4/n)*ln(1+1/n))The above limit is of the form 0 * ∞.
We can apply L'Hospital's rule for this case. We take the natural logarithm of the denominator and numerator and differentiate with respect to n.
We can write the new limit as below,limₙ→∞ (4/n)*ln(1+1/n)=limₙ→∞ (ln(1+1/n)/n)/(1/n^2)
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Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses 1 4 of its value every year. Write an exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase. Use whole numbers, decimals, or simplified fractions for the values of a and b.
Answer:
y= 2200 (3/4)x
Step-by-step explanation:
You can model a real-world situation involving an initial value and a constant growth or decay factor with an exponential equation in the form y=a(b)x, where b>0 and b≠1.
The constant a represents the initial value. It is the y-value of the equation when x=0.
The constant b represents the growth or decay factor.
When the equation models exponential growth, b>1.
When the equation models exponential decay, 0<b<1.
An exponential equation in the form y=a(b)x can model the value of the machine, y, x years after purchase. To write the equation, first look for phrases in the problem that tell you about the initial value, a, and the growth or decay factor, b.
Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses 1/4 of its value every year.
The constant a is the initial value. The initial value of the machine is $2,200. So, a=2,200.
The constant b is the decay factor, since the value of the machine is decreasing. The machine loses 1/4 of its value each year. In other words, the value of the machine each year will be 1–1/4= 3/4
times the value the year before. So, b= 3/4.
The exponential equation y= 2200 (3/4)x models the value of the machine.
An exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase is y= 2200*14*x
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form \({\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}\) are the coefficients, which are often real numbers.
Given that;
The cost of tshirt printing machine= $2200.
The lose of machine= 14
Now,
Substituting all the values in equation y=a(b)x
a=2200
b=14
y=2200*14*x
Therefore, the linear equation of the question will be y=2200*14*x
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( 20 points)
Solve 2(x + 1) = 2x + 5
1) all real numbers
2) no solution
3) 0
4) 3
(9th grade Algebra 1)
Answer:
No solutions
Step-by-step explanation:
First, distribute on the left side of the equation:
2 ( x + 1 ) = 2x - 5
2x + 2 = 2x - 5
Subtract 2x from each side:
2x + 2 = 2x - 5
2 = -5
Add 5 to each side:
2 = -5
7 = 0
7 ≠ 0
There are no solutions
Hii :))
\( \tt \: 2(x + 1) = 2x + 5 \\ \tt \: 2x + 2 = 2x - 5 \\ \tt \: 2x - 2x = - 5 - 2 \\ \underline {\underline{\tt \: 0 \: \bcancel{=} \: 7x}}\)
Since LHS isn't equal to RHS, the equation will have 2) no solution.
__________________
\(\overbrace{ \underbrace{ \mathfrak{ \: \infty \: Carry \: on \: Learning \: \infty }}}\)
ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ
• 3 pages are edited every 5 minutes.
• 5 pages are edited every 3 minutes.
• 6/10 of a page is edited per minute.
• 1 2/3 of a page is edited per minute.
a) 1 and 2
b) 1 and 3
c) 3 and 4
d) None of the above
Answer:
1 and 3
Step-by-step explanation:
where the dots on the graph are, you can read that in 5 minutes, 3 pages are edited. in 10 minutes, 6 pages.
so statement 1 is correct.
when every 10 minutes 6 pages are edited, divide both by 10 to get what is edited per minute. -> 6/10 pages are edited per minute.
What are the steps to solve (5xy^3)^2(xy)^4?
Answer:
\(25x^6y^{10}\)
Step-by-step explanation:
\((5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}\)
Remember to use your exponent rules
Hi!
Given:
\((5xy^3)^2(xy)^4\)
Distribute the exponent:
\(5^2x^2y^6 * x^4y^4\)
Multiply like terms (add the exponents to do it):
\(25x^6y^\)^10
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A ladder is leaning against a building. The base is 5 meters from the base of the building, and the ladder forms a 73 ∘
angle with the ground. The top of the ladder is exactly at the top of the building. (a) Sketch a picture of the situation. (b) Label the height of the building h. Write down tan(73 ∘
) as an expression that involves h. Solve to find the height of the building (using a calculator to find tan(73 ∘
) ). (c) Use a similar method but with a different trig function to find the length of the ladder
Given a ladder leaning against a building with a 73° angle, we can find the height of the building using h = 5 * tan(73°) and the length of the ladder using L² = h² + 5².
(a) In the sketch, draw a vertical line to represent the building. Mark the base of the building and the base of the ladder 5 meters apart. Draw the ladder leaning against the building at an angle of 73 degrees with the ground. The top of the ladder should align with the top of the building.
(b) Label the height of the building as 'h.' Using the tangent function, we can express tan(73°) as h/5. Solving for h, we have h = 5 * tan(73°). Use a calculator to find the value of tan(73°), then multiply it by 5 to determine the height of the building.
(c) To find the length of the ladder, we can use the Pythagorean theorem. The ladder serves as the hypotenuse of a right triangle, with the height of the building (h) as one side and the base of the ladder (5 meters) as the other side. The length of the ladder (L) can be found using the equation L² = h² + 5². Substitute the value of h you found in part (b) and solve for L.
Therefore, Given a ladder leaning against a building with a 73° angle, we can find the height of the building using h = 5 * tan(73°) and the length of the ladder using L² = h² + 5².
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. By using elimination method, Solve for x and y:
2x + 3y = 2.... (1)
x-2y=8.... (ii)
Answer:
for the first 1 x=1 y=0
for the 2nd one x=8 y=-4
correct me if I'm wrong
the solution is x = 4 and y = -2. To solve using elimination method,
we want to eliminate one of the variables (either x or y) by multiplying one or both equations by a suitable number such that the coefficients of the variable become the same in both equations.
Then we can subtract or add the equations to eliminate that variable.
Let's begin by eliminating x:
Multiplying equation (ii) by 2, we get:
2(x - 2y) = 2(8)
2x - 4y = 16
Now we have two equations:
2x + 3y = 2
2x - 4y = 16
Subtracting the second equation from the first, we get:
(2x + 3y) - (2x - 4y) = 2 - 16
7y = -14
Dividing both sides by 7, we get:
y = -2
Now we can substitute y = -2 into either equation (1) or (2) to solve for x. Let's use equation (2):
x - 2(-2) = 8
x + 4 = 8
x = 4
Therefore, the solution is x = 4 and y = -2.
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Write an expression that represents the perimeter of a regular hexagon if EACH SIDE is (3x-4)?
The expression that represents the perimeter of a regular hexagon is
18x - 24
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
Regular hexagon has all the sides equal in length and it has 6 sides
Perimeter is sum of all sides
Thus,
perimeter of a regular hexagon
= 6* side length
= 6 (3x-4)
Distribute 6
= 18x - 24
The expression that represents the perimeter of a regular hexagon is
18x - 24
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Complete Question:
Write an expression that represents the perimeter of a regular hexagon if each side is (3x-4).
there are 15 students going on a field trip if 3/5 of them packed their lunches how many students packed their lunches
Hanna simplified the following math statement. What did she do wrong? Show the correct answer and explain your reasoning.
(6m^3y^2)^4 = 24m^7y^8
Answer:
y=0
Step-by-step explanation:
I don't know factor out, please slove this questuon.
Answer:
\(\displaystyle \frac{1}{10}(x+9)\)
Step-by-step explanation:
\(\displaystyle \frac{1}{10}x+\frac{9}{10}=\frac{1}{10}(x+9)\) because \(\displaystyle \frac{1}{10}(x+9)=\frac{1}{10}(x)+\frac{1}{10}(9)\) by the Distributive Property
A jar contain ome marble. {frac(1/2)} of the marble are blue. 3 BLACK marble are added to the jar. What fraction of marble in the jar are BLUE NOW?
The fraction of blue marble in the jar is [(1/2)x]/ (x+3) where x+3 is the total marbles.
This question involves basic arithmetic and fractions.
We know that a fraction means a part of a whole. It is of the form a/b where b is not equal to zero and a, b are numbers.
Now, here let the total number of marbles in the bar is x .
Then , the number of blue marbles is (1/2)x i.e. 1/2 of x.
Now, if three black marbles are added to the jar, the total number of marbles = x + 3.
So, fraction of blue marble in the jar = (no. of blue marble)/(no. of total members)
= [(1/2)x]/ (x+3).
Thus, the fraction of blue marble in the jar is [(1/2)x]/ (x+3) where x+3 is the total marbles.
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Find the common diffrence
2)23,21,19.17
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15
In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
A.
11%
B.
3%
C.
43%
D.
30%
Answer:
Step-by-step explanation:
5x7=35 hours(Gary’s total free time per week)
7+8=15 hours(Gary is spending his time on the internet+Playing video games)
35h.....100%
15.........x%
x=42,8%=>43%
a telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the midwest and the west. the representative's belief is based on the results of a survey. the survey included a random sample of 1280 midwestern residents and 1380 western residents. 50% of the midwestern residents and 54% of the western residents reported that they were completely satisfied with their local telephone service. find the 90% confidence interval for the difference in two proportions. step 1 of 3: find the critical value that should be used in constructing the confidence interval.
The critical value that should be used in constructing the confidence interval is 1.645.
We are constructing a 90% confidence interval, so the alpha level is 1 - 0.90 = 0.10. The z-score that corresponds to an alpha level of 0.10 is 1.645.
We can find the critical value using the following steps:
1. We can look up the z-score in a z-table.
2. We can use a statistical calculator to find the z-score.
The following is the z-table for a two-tailed test with an alpha level of 0.10:
```
z-score | Probability
------- | --------
1.645 | 0.9500
```
As we can see, the z-score that corresponds to an alpha level of 0.10 is 1.645.
We can also use a statistical calculator to find the z-score. For example, in Excel, we can use the following formula:
```
=NORMSINV(0.95)
```
This will return the value 1.645.
Once we have found the critical value, we can use it to construct the confidence interval.
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carlo drive anda pangasinan at the speed of 50 kph on the curve trip back to baguio taking the same richie to drive at this rate of 55 kph what is the average speed of the entire trip?
Answer:
52,5
Step-by-step explanation:
50+55=105
105:2=52,5
Average speed of the entire trip is 52.5 km/hr
Given that;
Speed of car during the way = 50 km/hr
Speed of car in return = 55 km/hr
Find:
Average speed of the entire trip
Computation:
Average speed of the entire trip = Sum of speed / 2
Average speed of the entire trip = [50 + 55] / 2
Average speed of the entire trip = 105 / 2
Average speed of the entire trip = 52.5 km/hr
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Question 3 (20 points)
Point M is the midpoint of AB. Find BM.
4x + 13
3x + 17
A
O a
O b
O c
Od
58
133
4
29
M
ty
B
Answer: 29
Step-by-step explanation: since m is the midpoint, then the two sides are equal
4x + 13 = 3x + 17
4x - 3x = 17 - 13
x = 4
Therefore
BM = 3x + 17
BM = 3(4) + 17
BM = 12 + 17
BM = 29
i need help pls please
Answer:
0.00054075 is the exact answer
Step-by-step explanation:
I was gone for 2 days in school and have no idea how to do this, anyone mind helping.
Segments AB and BC are both tangent to the circle shown above. What is the value of x? *Note: photo not necessarily to scale
In right triangle OAB and right triangle OCB above.
\(OA=OC\)Therefore,
\(\begin{gathered} m\angle OAB=m\angle OCB=90^0 \\ Then, \\ OB=OB \end{gathered}\)Hence,
\(\begin{gathered} Rt\Delta OAB\cong Rt\Delta OCB \\ \therefore AB=CB \end{gathered}\)Then,
\(\begin{gathered} x^2+3=12 \\ x^2=12-3=9 \\ x^2=9 \\ x=\sqrt{9}=3 \end{gathered}\)Hence,
\(x=3\)
Estimate the square root. Round to the nearest integer.
V56
Perimeter:
Area:
3.9 & 1.3
Answer:
1&0
Step-by-step explanation:
Enter a value for side 1 in metres with optional centimetres.
Enter a value for side 2 in metres with optional centimetres.
Click associated Get Results button.
Square metres (m2) and centimetres (cm2) remainder is shown.
Multiple calculations can be placed in the textbox below by pressing Move Results.
Multiple calculations total area is shown in the Grand Total Square Metres text box.
What is the surface area of the entire prism below?
Area of triangle = 1/2bh
Area of rectangle = L * W
5 ft
4 ft
6 ft
5 ft
18 ft
The Total surface area of the given prism is: 312 ft²
What is the surface area of the prism?The formula for the areas of the shapes that make up the triangular prism are:
Area of triangle = ¹/₂bh
where:
b is base
h is height
Area of rectangle = L * W
where:
L is length
W is width
Thus:
Total surface area = 2(¹/₂ * 6 * 4) + 2(5 * 18) + (18 * 6)
Total surface area = 24 + 180 + 108
Total surface area = 312 ft²
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Adrian invested $790 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $2,550?
It would take 17 years for the value of the account to reach $2,550. The solution has been obtained by using the concept of compound interest.
What is compound interest?
The principal as well as the interest that has accrued over the previous period are both used to compute interest. Compound interest factors the principal into the calculation for determining the interest for the subsequent month, in contrast to simple interest, which does not. In mathematics, the symbol for compound interest is typically the letter C.I.
We are given the principal amount as $790 paying an interest rate of 6.9% compounded continuously.
The final balance is $2,550.
We know that formula for continuous compounding interest is
\(P(t) = P_{0} e^{rt}\)
So, using this, we get
⇒\(2550 = 790 e^{0.069*t}\)
Solving this, we get
t = 17
Hence, it would take 17 years for the value of the account to reach $2,550.
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A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?
Given
A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?
Solution
\(\begin{gathered} \text{Expected value range =9.84}\pm1.08 \\ \text{minimum =9.84-}1.08=\text{ 8.76} \\ Maximum\text{ = 9.84+}1.08=10.92 \\ \therefore\text{The minimum expected =E 8.76\%} \end{gathered}\)The final answer
The minimum expected is 8.76% Euros