Answer: Maybe x = -5
Step-by-step explanation: Your equation isn't making complete sense to me. But since it sounds like x+5 is in the denominator, if I had to guess, I'd say when x = -5. This is when the denominator equals 0. Since we can't divide by 0, it's an asymptote.
A box contains 54 coins which are either 20-cent coins or 50-cent coins. If the total value of all the coins is $20.70, find the number of 20-cent coins in the box. LOF 1 11.
Number of 20-cent coins in the box are 33.
1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.
2. We can set up two equations based on the given information:
- x + y = 54 (since the total number of coins in the box is 54)
- 0.20x + 0.50y = 20.70 (since the total value of all the coins is $20.70)
3. We can multiply the second equation by 100 to get rid of the decimals:
- 20x + 50y = 2070
4. Now, we can use the first equation to express y in terms of x:
- y = 54 - x
5. Substitute the value of y in the second equation:
- 20x + 50(54 - x) = 2070
6. Simplify and solve for x:
- 20x + 2700 - 50x = 2070
- -30x = -630
- x = 21
7. Substituting the value of x back into the first equation:
- 21 + y = 54
- y = 33
8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.
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According to the text, which element has the LEAST number of dimensions? A figure B tine C) plane D) point
Point is the least number of dimensions
Im sure :)
20 points and brainliest if answered correctly
Answer:
\(y=9,x=4\)
Step-by-step explanation:
System of equations:
\(x+y=13\)
\(60x+80y=960\)
_____________
simplify:(isolate x)
\(x=\)\(\frac{4(-y+12)}{3}\)
\(x+y=13\\\)
substitute equation for x into second equation:
\(\frac{4(-y+12)}{3} +y=13\\\)
simplify:
\(\frac{-y+48}{3}=13\\ y=9\\\)
substitute y into equation for x:
\(x=4\)
Find the GCF (greatest common factor) of 38 and 16.
Answer:
2
Step-by-step explanation:
2 is the gcf of 38 and 16 as it is the only greatest number which could be divided by both.
Answer:
2
Step-by-step explanation:
Because 2 is the largest number that both numbers can multiply with the factors, it is the Greatest Common Factor (GCF).
8 x 2 = 16, and 19 x 2 = 38
Hope this helps.
Here is the histogram of a data distribution.What is the shape of this distribution?A.Unimodal skewed rightB.UniformC.Unimodal skewed leftD.BimodalE.Unimodal symmetric
Answer:
D. Bimodal
Explanation:
The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is
D. Bimodal.
REALLY need help with this last problem
Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
Find one value of x for which h(x)=4 and find h (-2)
the solutions are:
h(x) = 4 for x = 0h(-2) = 2How to find the value of x for which h(x) = 4?The only information of h(x) that we have is the given graph.
To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.
That intersection will give the value of x for which h(x) = 4.
Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).
Now we want to find h(-2), and we can do that using the graph.
By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:
h(-2) = 2
Concluding, the solutions are:
h(x) = 4 for x = 0h(-2) = 2If you want to learn more about parabolas:
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1. The waiting times (in minutes) of customers at a certain bank is given below. 5.5 6.5 6.7 7.2 6.4 7.3 (a) Construct a 95% confidence interval for the mean waiting time of all customers at the bank. (b) Based on the confidence interval in (a), will the bank manager be satisfied if she wishes the average waiting time in her bank to be less than 7 minutes
Answer:
The 95% confidence interval is
\( 5.92 < \mu < 7.284 \)
Step-by-step explanation:
From the question we are told that
The data is 6.5 6.7 7.2 6.4 7.3
Generally the sample mean is mathematically represented as
\(\= x = \frac{\sum x }{n}\)
=> \(\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}\)
=> \(\= x = 6.6\)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }\)
=> \(\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }\)
=> \(\sigma = 0.6512\)
Gnerally the degree of freedom is mathematically represented as
\(df = n- 1\)
=> \(df = 6 -1\)
=> \(df = 5\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the t distribution table the critical value of \(\frac{\alpha }{2}\) is
\(t_{\frac{\alpha }{2} , 5 } = 2.571 \)
Generally the margin of error is mathematically represented as
\(E = t_{\frac{\alpha }{2}, 5 } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 2.571 * \frac{0.6512}{\sqrt{6} }\)
=> \(E = 0.6835 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \= x +E\)
=> \(6.6 - 0.6835 < \mu < 6.6 + 0.6835\)
=> \( 5.92 < \mu < 7.284 \)
Find the volume of the solid whose base is
bounded by y = √x and x = 4, having cross
sections that are equilateral triangles taken
perpendicular to the y-axis.
V = [?]
Round your answer to the nearest thousandth.
The volume of the solid is approximately 21.654 cubic units.
How to find the volume of the solidFirst we need to integrate the area of each cross section over the interval [0,4]. Since the cross sections are equilateral triangles taken perpendicular to the y-axis, the area of each cross section can be expressed as A(y) = (1/4)y^2*sqrt(3).
Thus, the volume V of the solid can be found by integrating A(y) over the interval [0,2], since y = √x for the given base equation
V = ∫[0,2] (1/4)y^2*sqrt(3) dy
Using the substitution y^2 = x, we can rewrite the integral as:
V = ∫[0,4] (1/4)x^(3/2)*sqrt(3) dx
Integrating, we get
V = (1/5)x^(5/2)*sqrt(3)|[0,4]
V = (1/5)(4^(5/2))*sqrt(3)
V ≈ 21.654 cubic units
Therefore, the volume of the solid is approximately 21.654 cubic units.
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In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Pre - Calculus evaluate exponential derivative at a point !
Answer:
\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)
Step-by-step explanation:
Use Quotient Rule to find f'(x)
\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)
Find f'(1) using f'(x)
\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)
Answer:
\(f'(1)=-\dfrac{9}{e^{3}}\)
Step-by-step explanation:
Given rational function:
\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)
To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)
\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)
\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)
Therefore:
\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)
\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)
\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)
To find f'(1), substitute x = 1 into f'(x):
\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)
\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)
\(f'(1)=-\dfrac{9}{e^{3}}\)
1. If Keisha has four favorite shirts (one blue, one green, one red, and one yellow) and two favorite pairs of pants (one
black and one brown), how many different favorite outfits does she have? What is the best way to count this?
Answer: add.
Step-by-step explanation:
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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How to graph (x-2)(y-3)=0
Step-by-step explanation:
here you want to isolate the y.
so what you do in the beginning is divide both sides by x-2.
then, you'll have y-3 = 0
so y = 3
this is a horizontal graph that crosses the y axis and y = 3.
Consider the following monthly amortization schedule:
Payment #123Payment966.45966.45966.45Interest750.00748.92xDebt Payment216.45217.53yBalance149,783.55149,566.01z
With the exception of column one, all amounts are in dollars. Calculate the annual interest rate on this loan. Give your answer to the nearest percent. Do not include the % sign in your response.
In the above problem, the annual interest rate on this loan is 1.15%, rounded to the nearest percent.
What is the rationale for the above response?To calculate the annual interest rate on this loan, we can use the following formula:
r = (I / P) / n
where r is the annual interest rate, I is the total amount of interest paid over the life of the loan, P is the initial loan amount, and n is the number of years for the loan.
Using the information provided in the amortization schedule, we can calculate I as the sum of all the interest payments:
I = 750 + 748.92 + 216.45 = 1715.37
We can calculate P as the initial balance on the loan:
P = 149,783.55
Since the loan is being paid off over 123 months, we can calculate n as:
n = 123 / 12 = 10.25
Substituting these values into the formula for r, we get:
r = (1715.37 / 149,783.55) / 10.25
r = 0.0115
To convert this to a percentage, we multiply by 100:
r = 1.15%
Therefore, the annual interest rate on this loan is 1.15%, rounded to the nearest percent.
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HELP!!!
The last one is cut off
d) 36
Answer: 43
Step-by-step explanation:
It is a right triangle. You need to use SOH CAH TOA
To find the angle they gave you the side that is adjacent to the angle and the hypotenuse. So use. CAH
cos x = adjacent/hypotenuse
cos x 22/30
x = cos⁻¹ (22/30)
x = 42.83
x = 43 rounded
please help i’m begging you i’ll give brainlu
Answer:
3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00
How many millimeters are in 1 meter? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
0.01 millimeters
0.1 millimeters
100 millimeters
1,000 millimeters
Answer: 1,000 millimeters
The prefix "milli" means "thousandth". One thousandth of a meter is a millimeter (mm). So it takes 1000 mm to form a full meter.
Which of the following options could represent a possible set of interior angles of a triangle?
45°, 1050, and 120°
60º, 150° and 150°
15°, 359, and 40°
35°, 65°, and 80°
Answer:
Option 4.
Step-by-step explanation:
The only viable choice is the fourth option, this is because it is the only choice that adds up to 180:
35 + 65 + 80 = 180
And all interior angles must add up to 180 in a triangle.
Hope this helps!
Estimate the number of words in your textbook, without using a calculator.(The book has about 500 pages, with an average of 38 lines on a page, 12 words on a line.)
Answer:
\(500\ Pages = 228000\)
Step-by-step explanation:
Given
\(Pages = 500\)
\(Lines = 38\)
\(Words = 12\)
Required
Determine the number of words in the book
First, we need to calculate the number of words in a page.
\(1\ Page = Words * Lines\)
\(!\ Page = 12 * 38\)
\(1\ Page = 456\)
Next, we calculate number of words in 500 pages
Multiply both sides by 500
\(500 * 1\ Page = 456 * 500\)
\(500\ Pages = 228000\)
Hence, there are 228000 words in the book
What is the image point of ( 0,8) after q translation right2 units and down 4 units?
Ku
Answer:(2,4)
Step-by-step explanation:
20 points!!!! will mark the brainliest!!! Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
90x − 20
What does the constant term of the expression represent?
a) The total points Terrence earned
b) The total number of tasks Terrence completed c)The sum of Shelly's and Terrence's total points
d)The difference between Shelly's and Terrence's total points
Answer: The difference between Shelly's and Terrence's total points
since Shelly scored 90 points on each one and completed x tasks
The total points Shelly scored will be 90x
-20 is the constant term
90x -20 =Terrence points
What is the relationship between the values of the given digits 7's in 7'700
Step-by-step explanation:
The given number is 7700.
We need to find the relationship between the values of the digit 7s in it.
The digit in the extreme left is 7 and second no is again 7.
The place value of first 7 is 7000
The place value of second 7 is 700.
Taking ratio of place value of 7 in first 7 and for second 7 as follows :
\(R=\dfrac{7000}{700}\\\\R=10\)
So, value of first 7 is 10 times that of the value of second 7.
If it cost 5$ to fill a gas tank in 1970, how much would it have cost to fill the same tank in 1980
Answer: It would cost $47.3 to fill the same tank in 2010
Step-by-step explanation:
In 1970
Total cost to fill the tank = $6
Cost per capacity of tank = $0.36
Capacity of tank = Total cost / Cost per capacity of tank
Capacity = 6/0.36
Capacity = 16.6
Therefore
In 2010
Cost per capacity of tank = $2.84
And we now know it capacity = 16.6
Total cost to fill the tank = 2.84 * 16.6
Total cost = $47.3
Hope this helps have a awesome day ❤️✨
George's fish tank holds up to 10.5 gallons of water. He added 7.89 gallons of water to the tank. How much water was in the tank before?
Answer:
2.61 gallons
Step-by-step explanation:
10.5-7.89=2.61 gallons
Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
((-3)^2)^4
Simplify the expression wrote your answer as a power
Answer:
(-3)^8
Step-by-step explanation: