Answers
Answer:
The limit does not exist
Step-by-step explanation:
This is because the left hand limit is 3,we know this because as the graph approaches from the left side of the Cartesian plan the open dot is on 3
and the right hand limit is 1 because as the graph approaches the X=1 from the right hand side the open dot lands on 1
Since the left hand limit doesn't equal to right hand limit,the overall limit of x=1 doesn't exist.
Related Questions
If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when he was first inaugurated. How old was President G.H.W. Bush when he was inaugurated?
Answers
Answer:
64Step-by-step explanation:32+14=46
Step-by-step explanation:
lf you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when ...
1 answer
Age of President G.H.W. Bush is 37.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Age of President Bush = 54,
So, Age of President Clinton
=(54/2) + 14
=27+14
=41
Now, Age of President G.H.W. Bush
=46/2+14
=23+14
=37
Hence, the age of President G.H.W. Bush is 37.
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The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
Answers
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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Adams watches a movie that is 2 hours 15 minutes long how many minutes is the time
Answers
Answer:
135 minutes
Step-by-step explanation:
Answer:
135 minutes
Step-by-step explanation:
1 hour= 60 minutes
2hours=60x2=120 minutes
120+15=135 minutes
plz mark me as brainliest.
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
Answers
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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please answer and explain how to get it.
Answers
(-11[(3-5 to the 2nd power divided by {-2]+5
Answers
Answer:
For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.
Step-by-step explanation:
4739tfghfdcndekru
5tyenbvjfwfyqe
8ghdgrgur
Triangle X(1, 6), Y(5, -2), Z(-5, -1) is mapped onto Δ
Δ
XʹYʹZʹ by a dilation with center (1, -2) and a scale factor of 3. Which function represents this dilation?
(x, y) → (1 + 3(x + 1), -2 + 3(y + 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y - 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y + 2))
(x, y) → (x + 3, y - 6)
30 points
Answers
On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)
by herons formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
s = a+b+c/3
s = 5+2+5+/3 =12/3 = 4
Area of the triangle is, A =
\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)
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Answer:
2.828
Step-by-step explanation:
Can someone help me with this please?
Answers
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
Instruction:Subract the following fraction.
1.
\(7 \frac{3}{7} - 5 \frac{3}{4} = \)
2.
\(4 \frac{2}{25} - 2 \frac{1}{25} = \)
Plss answer
Answers
Answer:1. 1 19/28
2. 2 1/25
Step-by-step explanation:
Find the value of x and the measure of the angle labeled 6x”. 72° 6x" 42° 30° A. X = 5; angle measure is 48° B. X = 5; angle measure is 72°, C. X = 5; angle measure is 30°. D. X = 5; angle measure is 42º.
Answers
Answer:
60°
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
5 times 6 equals 30
That's how I did it.
What is the value of R?
Answers
Answer:
B
Step-by-step explanation:
Subtract 150 from both sides
-5r ≥ -62.5
Divide both sides by -5
r ≤ 12.5
(The greater than sign flips around when you divide or multiply both sides by a negative number)
Find the critical value z Subscript alpha divided by 2 that corresponds to the confidence level 90%.
Answers
Answer:
,.........................................................
The radius of a circle is 12.25 centimeters. What is the circumference of the circle?
O38.465 cm
O76.93 cm
0 78.5 cm
O15.39 cm
Answers
Answer:
76.9 cmStep-by-step explanation:
circumference of a circle = 2 π r
where r = 12.25 cm radius
plugin values into the formula:
circumference of a circle = 2 π (12.25)
= 76.9 cm
1. Do the two triangles have the same size and shape? Justify your answer. Write your answer in the space below.
2. Which side in triangle EFG has a length of 5 units? Explain how you know Write your answer in the space below. 3. What is the measure of the unknown angle in triangle ABC? Explain.
Answers
There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = .4, P(F) = .2 and P(E intersect F) = .15.
(a) What is the probability that the individual must stop at at least one light; that is, what is the probability of the event P(E union F)?
Answers
The probability that the individual must stop at at least one light that is 0.45.
What is Probability?Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.
Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -
P(E) = 0.4P(F) = 0.2 P(E ∩ F) = 0.15.We can write -
P{E ∪ F} = P{E} + P{F} - P{E ∩ F}
P{E ∪ F} = 0.4 + 0.2 - 0.15
P{E ∪ F} = 0.6 - 0.15
P{E ∪ F} = 0.45
Therefore, the probability that the individual must stop at at least one light that is 0.45.
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● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
Answers
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answers
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.
6.Martha is making fresh yogurt with a new sample containing 200,000 healthy, probiotic bacteria at the start (At t = 0). After putting the sample into her yogurt maker, she records the total number of probiotic bacteria f(t) in the sample as it grows exponentially each hour (t)
7. How many probiotic bacteria will be in the sample after 24 hours?
Answers
After 24 hours, there will be approximately 3,355,443,200 probiotic bacteria in the sample.
To find the number of probiotic bacteria in the sample after 24 hours, we need to use the information given about the exponential growth of the bacteria.
The exponential growth model can be represented as follows:
\(f(t) = P * e ^{rt}\)
Where:
- f(t) is the total number of probiotic bacteria at time t.
- P is the initial number of probiotic bacteria (at t = 0).
- e is the base of the natural logarithm, approximately equal to 2.71828.
- r is the growth rate (expressed as a decimal).
- t is the time in hours.
Given:
- P = 200,000 (initial number of probiotic bacteria at t = 0).
- t = 24 hours (time after which we want to find the number of bacteria).
We need to find the growth rate (r) to calculate the total number of probiotic bacteria after 24 hours.
The growth rate (r) can be determined from the exponential growth formula. We know that the bacteria grow exponentially, so we can use the fact that the population doubles every certain time to find r.
Since the number of bacteria doubles every hour, after 1 hour (t = 1), the number of bacteria is 200,000 * 2 = 400,000.
Using the exponential growth model:
\(400,000 = 200,000 * e^{r * 1}\)
Now, we can solve for r:
\(e^r = 400,000 / 200,000\)
\(e^r = 2\)
Taking the natural logarithm of both sides:
\(ln(e^r) = ln(2)\\r = ln(2)\)
Now that we have the growth rate (r), we can find the total number of probiotic bacteria after 24 hours (t = 24):
\(f(t) = 200,000 * e^{ln(2) * 24}\\f(24) = 200,000 * e^{ln(2) * 24}\\f(24) = 200,000 * e^{24 * ln(2)}\)
Using the fact that
\(e^{ln(x)} = x:\\f(24) = 200,000 * 2^24\\f(24) = 200,000 * 16,777,216\\\)
Now, calculate f(24): f(24) = 3,355,443,200
So, after 24 hours, there will be approximately 3,355,443,200 probiotic bacteria in the sample.
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Correct Question is:
Martha is making fresh yogurt with a new sample containing 200,000 healthy, probiotic bacteria at the start (At t = 0). After putting the sample into her yogurt maker, she records the total number of probiotic bacteria f(t) in the sample as it grows exponentially each hour (t).How many probiotic bacteria will be in the sample after 24 hours?
Your friend has a bag of yellow and purple candy. He wants to use them to play a game with you.
Purple is worth 2 points and yellow is worth three points. Pick 9 candies from the bag
Create a system of equations where the combination of the candies gives you a total of 22 points. Make sure you label and define your variables.
Answers
The system of equations where the combination of the candies gives you a total of 22 points are:
x + y = 9
2x + 3y = 22
How can we create system of equations?To create the equations, we shall first define the variables:
x = the number of purple candies
y = the number of yellow candies
Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.
Then, we would make sure that the total number of candies selected is 9.
The first equation represents the total number of candies selected:
x + y = 9
The second equation represents the total number of points obtained:
2x + 3y = 22
Therefore, the system of equations is:
x + y = 9
2x + 3y = 22
This is a system of linear equations.
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Rachels neighborhood kids pool is shaped like a square with an area of 120 what is the appropriate side length of the pool?
Answers
Answer:
3i4tvrc3qob3t424
Step-by-step explanation:
I Answer:
Hey! I have the answer if you want it between two whole numbers.
Answer is 10 and 11
Step-by-step explanation:
Got this off of someone else ages ago! Hope this helps you
Mark invests $150 at the beginning of each quarter in stock ABC. According
to the table below, how many shares of ABC will Mark own at the end of the
year?
ABC
Stock Price
Q1
$15
Q2
$16
Q3
$13
Q4
$18
D
A. 36 shares
B. 44 shares
C. 40 shares
D. 38 shares
Answers
A quarter is when something is divided into 4 equal parts. The correct option is D.
What is a Quarter ?A quarter is when something is divided into 4 equal parts , A year has a quarter of 3 months.
It is given that Mark Invests $150 at the beginning of each quarter in stock ABC.
According to the data given
In Q1, the price of the share is $15
150/15 = 10 shares
In Q2, the price of the share is $16
150/16 = 9 shares approx
In Q3, the price of the share is $13
150/13 = 11 approx
In Q4, the price of the share is $18
15/18 = 8
Therefore, the total shares = 10+9+11+8 = 38 shares approx.
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How do I solve for this?
Answers
Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)
Step-by-step explanation:
Generally speaking; \(cos^2x + sin^2x = 1\)
rearranging this gives us all sorts of cool things.
for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
\(cosx =- \sqrt{ 1 - sin^2x}\)
and thats the answer :)
Simplify (2x-3)(5x squared-2x+7)
Answers
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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Subtract (8x^2 -9x + 2) from (9x^2-x+5) simplify
Answers
Given
\((9x^2-x+5)-(8x^2-9x+2)\)Simplify as shown below,
\(\begin{gathered} (9x^2-x+5)-(8x^2-9x+2)=9x^2-x+5-8x^2+9x-2 \\ =x^2+8x+3 \\ \Rightarrow(9x^2-x+5)-(8x^2-9x+2)=x^2+8x+3 \end{gathered}\)The answer is x^2+8x+3
Please help
The results of a survey of students favorite color are organized in the frequency table. What is the probability that a random selected student will have a preference of green.
3/14
5 3/5
5/28
5
Answers
The probability of selecting a student who prefers green is:
5/28
What is frequency?
Frequency refers to the number of times a particular event or value occurs in a given dataset or sample. It is commonly used in statistics and probability to analyze and describe data. In the context of a survey or study, frequency can be used to represent how many times a particular response or answer was given by participants.
According to the question:
The total number of students is:
6 + 9 + 3 + 5 + 5 = 28
The probability of selecting a student who prefers green is:
5/28
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If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Answers
Answer:
6(3) - 4 - 3²
Step-by-step explanation:
(g - f) = 6x - (4 - 2x²)
= 6x - 4 - 2x²
and when we replace x with 3 ,it will be
6(3) - 4 - 3²
hope this helps
Answer:
Basically what the person on top of me said
Step-by-step explanation:
Got it right !
Daniel buys an ice cream sundae for $4.88 and is given $15.12 as change. Which equation represents the situation if x is the amount Daniel had before he bought the ice cream sundae?
Answers
Answer:
X = 4.88 + 15.12 or X - 4.88 = 15.12
So, Daniel had 20 dollars before he brought the ice cream sundae
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Pls help asap thank you
Answers
Use the Pythagorean theorem to find the height.
Height = sqrt(26^2-10^2)
Height = 24 cm
Volume = 20^2 x 24/3
Volume = 7,200 cm^3
Solve.
2a + 3b = 5
b=a5
a = 4
b = -1
a = 4
b=1
Answers
Answer:
5 = 5 True
1 = 20 False
Step-by-step explanation:
5 = 5 true