No, f is not continuous at x=-3. To show this, let's take the limit from both sides.
From the left side, the limit of f(x) as x approaches -3 is 5. From the right side, the limit of f(x) as x approaches -3 is 3. Since the two limits are not equal (5≠3), then f is not continuous at x=-3.No, f is not continuous at x=-3. This is because the limit of f(x) as x approaches -3 does not equal f(-3). The limit of f(x) can be calculated using the formula lim x->-3 f(x) = lim x->-3 (x^2 + 9). Calculating this limit, we get lim x->-3 f(x) = lim x->-3 (x^2 + 9) = 9. However, f(-3) = (-3)^2 + 9 = 0, which does not match the limit.
Mathematically, this can be shown using the following:
limx→−3 f(x) = 5 ≠ 3 = limx→−3+ f(x)
Since the two limits are not equal, then f is not continuous at x=-3.
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For what value of x is the rational expression below equal to zero?
20+2x
5-x
OA. 5
OB. -10
O C. 10
OD. -5
SUBMET
The value of x the will make 20+2x to be zero is
-10 ( option C)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
The expression 20+x is a linear expressions when it is equated to zero it is a linear equation.
20+2x = 0
collect like terms
x = 0-20
2x= -20
x = -20/2
x = -10
Therefore the value of x that make 20+2x to be zero is -10
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In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class is a female?
Female Male
Has an A 5 2
Does not have an A 7 11
Answer:
Answer:
your answer should be 8 according to the bearing given
Just making sure if x + y is xy?
Answer:
No
Step-by-step explanation:
I think
x times y = xy
Not x + y = xy
PLS AWNSER ASAP 2 MIN LEFT
TELL ME WHICH ONES ARE FALSE AND WHICH ARE TRUE
Answer:
the answer is 1 and 3 true and other false
hussain receives about six telephone calls from friends and family between 6 pm and 8:00 pm. what is the probability that hussain receives more than two calls in the next 30 minutes?
The required probability for the number of phone calls more than two in next 30 minutes is equal to ( 18 / 5)e⁻⁶.
Number of phone calls between 6pm and 8.00 pm 'n' = About 6 calls
Using Poisson's distribution we have,
P ( X = x ) = ( e⁻ⁿ nˣ ) / x!
Probability of receiving more than 2 phone calls in next 30 minutes
= P( X > 2 )
= P ( X = 3 ) + P ( X = 4 ) + P ( X = 5) + P( X = 6)
= ( e⁻⁶ 6³ ) / 3! + ( e⁻⁶ 6⁴ ) / 4! + ( e⁻⁶ 6⁵) / 5! + ( e⁻⁶ 6⁶ ) / 6!
= ( e⁻⁶ 6³ ) / 3! [ 1 + (6 / 4) + (6² / 5× 4 ) + ( 6³ / 6 ×5× 4) ]
= ( e⁻⁶ 6³ ) / 3! [ ( 20 + 30 + 72 ) / 20 ]
= ( 18 / 5)e⁻⁶.
Therefore, the probability of more than two phone calls is ( 18 / 5)e⁻⁶.
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Kyle is looking to buy a shirt that normally costs $85. Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items. After the discount, Kyle must pay 6% sales tax on the shirt. How much does Kyle end up spending on this shirt?
Kyle spending on this shirt at end up is, $63.07.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Kyle is looking to buy a shirt that normally costs $85.
Here, Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items.
Hence, The discount price is,
⇒ 30% of 85
⇒ 30/100 × 85
⇒ $25.5
So, The price of shirt after discount = $85 - %25.5
= $59.5
Since, After the discount, Kyle must pay 6% sales tax on the shirt.
Hence, The sales tax is,
⇒ 6% of 59.5
⇒ 6/100 × 59.5
⇒ $3.57
Thus, The amount to pay at endup by Kyle = $59.5 + $3.57
= $63.07
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ERROR ANALYSIS Describe and correct the error in evaluating
the expression.
X
(-81) 3/4 = [(-81) ¹/4]3 |
= (-3)³
= -27
27 is the equivalent expression of (-81) and the evaluation of the expression's value is solved by dividing it by three-fourths.
what is expression ?You can multiply, reduce, add, or take something away in mathematics. An expression is put together as follows: Expression, numeric value, and math operator A mathematical expression is composed of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Contrasting phrases and expressions is possible. An algebraic expression is any mathematical statement that has parameters, quantities, and an arithmetic operation. As an illustration, the phrase 4m + 5 consists of the terms 4m and 5, as well as the given equation's variable m, all of which are isolated by that of the algebraic sign +.
given
Condense the phrase.
= (-81)^ 3/4 = (-81)^ 3/4
the common factor of 4 = 3^3 is canceled.
Raise 3 to the power of 3
= 27
27 is the equivalent expression of (-81) and the evaluation of the expression's value is solved by dividing it by three-fourths.
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Jackson is recording the height of his plant in centimeters, every week. The results are in the table below.
Step-by-step explanation:
add it and the answer is 2,453
Please help with this
Answer:
D
Leah spent y
15 times ryan's
ryan spent x
y = 15x
Step-by-step explanation:
A - Leah spent x
15 times more than
Ryan spent y
x = 15 * y
B - Leah spent y
15 more
Ryan spent x
y = x + 15
C- Leah spent x
15 less
Ryan spent y
x = y-15
19. Becca's birthday is June 10th. Her friend's birthday is November 10th. If Becca's birthday this year is a Wednesday, what day of the week is her friend's birthday this year? (A) Wednesday (B) Friday (C) Saturday (D)Monday (E) Other
A circle has an area of 25m. The radius of the circle is increased by 3. What is the increase in the area of the circle? (A) 24π (B) 64π (C) 39π (D) 36π (E) Other
In a modified ladder toss game, all scores are worth either 4 points or 9 points. Hunter made 100 y more 9 point scores scores when playing that game, and his point total was 755 points. How many than 4 point scores did Hunter made? ) (A) 42 (B)44 (C)41 (D) 43 (E) Other
Answer:
Becca's birthday is June 10th, which is a Wednesday this year. November 10th is exactly 6 months after June 10th, so the friend's birthday is also a Wednesday this year.
The increase in the area of the circle is 64π, not 39π. If the original circle had an area of 25m, then the original radius was 5. The new radius would be 5 + 3 = 8. The new area would be 8^2 * pi = 64 * pi = 64π.
Let X be the number of 4 point scores that Hunter made and Y be the number of 9 point scores. X + Y = total number of scores and 4X + 9Y = 755. Substituting Y = 100 + X, we get 4X + 900 = 755. Solving for X, we get X = 41. Therefore, Hunter made 41 4 point scores.
What is an inequality that can be written in any of the following forms: Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are real numbers and A and B are not both equal to zero?
A. Quadratic Equation
B. Linear Equation
C. Exponentional Equation
D. Linear Inequality
find the average value of the function f(x)=cos(x) on the interval [0,π] and determine a number c in this interval for which f(x) is equal to the average value.
a) Average value = 1, c = pi b) Average value = 1/2, c = pi/2 c) Average value = 0, c = pi/2 d) Average value 1/2, c = 0 e) Average value = 0, c = 3 pi/4
The average value of the function f(x)=cos(x) on the interval [0,π]=0 and c=pi/2.
The average value of a function is the height of the rectangle that has an area that is equivalent to the area under the curve of the function. If you look at the picture below, you know already that the integral of the function is all of the areas between the function and the x-axis
The average value of the function f(x)=cos(x) on the interval [0,π] and determine a number c in this interval for which f(x) is equal to the average value.
The average value of the function f(x) on interval [0,pi]
can be evaluated through the following expression:
[tex]A.V=\frac{1}{(b-a)}{\int_a^b f(x) dx[/tex]
Here we have f(x)= cosx and interval [0,pi]
[tex]A.V = \frac{2}{\pi}{\int_0^{\pi} cosx dx\\\\=2/\pi[sin\pi-sin0]\\=0.[/tex]
Avarege value 0 and c=pi/2.
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You have learned a lot about logs in a short time. Use what you have learned x far to complete the parts below. a. Why does your calculator compute log(6)=0.778?
The equivalent of log (6) = 0.778 indicates the logarithmic base 10 of 6 is approximately 0.778.
Logarithms are a mathematical concept that are used to simplify exponential calculations. They are the inverse of exponents and are denoted as log base b (x), where b is the base of the logarithm and x is the number you want to find the logarithm of.
In this case, when your calculator computes log (6) as 0.778, it means that the logarithm base 10 of 6 is approximately 0.778.
=> log₁₀ 10 = 1 (10¹ = 10).
=> log₁₀ 6 = 0.778, because [tex]10^{0.778}[/tex] is approximately 6.
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jon jumped 1 5/8 inches below qualiyfrying height but anothey made it to 2 1/4 inches over qualfrying height how much lower was jons semifinal jump compared with anthonys
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
How to find the value?Given that Jon's jump was 1 inch short of the required height, yet Anthony was his friend
reached the necessary height by 2 inches.
In this instance, subtracting the values will yield the difference in the jump. It will be demonstrated by:
= Anthony's jump - Jon's jump
= 2 - (-1)
= 2 + 1
= 3
Therefore, Jon was 3 inches lower.
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
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solve for the missing parts of the diagram below
Opposite angles of a parallelogram are congruent.
[tex]9x-13=14+6x \\ \\ 3x-13=14 \\ \\ 3x=27 \\ \\ x=9[/tex]
This means [tex]m\angle ADC=68^{\circ}[/tex].
Which one of the following is a result of the normal probability distribution being bell-shaped?
The mean, median, and mode are at the center
The area on the right side of the mean is greater than the area on the left.
The area on each side of the mean equals 1.00
The mean is further in the right tail than the median is
The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.
This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.
The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.
In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.
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This figure is made from a square and part of a circle. What is the area of the figure, to the nearest whole number square unit?
According to the problem,The area of the figure is approximately 34 square units.
What is the square ?A square is a four-sided plane figure where all sides are equal length and all angles are right angles. It is a two-dimensional shape with four equal-length sides and four equal angles of 90°. Squares are often used in designs and architecture, and are an important part of Euclidean geometry. They are also found in nature, such as in a honeycomb, in a checkerboard pattern, and in tessellations.
To calculate this, we need to calculate the area of the square and the area of the circle's segment. The side of the square is 4 units, so the area of the square is 4 x 4 = 16 square units. The radius of the circle is also 4 units, so the area of the circle's segment is (1/2)πr^2, which is (1/2)π(4^2) = 16π/2 = 16 x 3.14/2 = 24.96 square units.
Therefore, the area of the figure is 16 + 24.96 = 40.96 square units, which is approximately 34 square units to the nearest whole number.
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NOW
NOW
NOW
NOW
HELP IMMEDIATELY
1) How much would you have to invest in an account earning 8% interest compounded continuously, for it to be worth one million dollars in 30 years?
Answer:
$174,850.10
Step-by-step explanation:
the future value of $7000 at the end of 5 periods at 8% compounded interest is
$10,285.30
so you multiply $10,285.30 x 17 = 174,850.10 that's the amount you have to invest. After thirty years you will have $1,049,100.60
A mall pizza ha an area of 730730730 quare centimeter. Write an inequality that decribe ppp, the area of a pizza that i larger than a mall pizza
The inequality that describes a pizza with an area larger than a mall pizza (with an area of 730730730 square centimeters) can be written as:
p > 730730730
The inequality "p > 730730730" is a mathematical expression that compares the area of a pizza (represented by the variable "p") to the area of a mall pizza (730730730 square centimeters).
The inequality uses the greater than symbol ">" to indicate that the area of the pizza represented by "p" must be greater than the area of the mall pizza.
"p" represents the area of the larger pizza in square centimeters. The inequality states that the area of the larger pizza (p) must be greater than the area of the mall pizza (730730730 square centimeters).
This inequality can be useful in situations where we want to compare the size of two pizzas and determine which is larger. By evaluating whether the area of a pizza (represented by "p") satisfies the inequality, we can determine whether it is larger or smaller than the mall pizza (with an area of (730730730 square centimeters).
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In the diagram below, ST is parallel to PQ. If SR = 2.4, PQ = 1.8, RQ = 3,
and ST 1.2, find the length of PR. Figures are not necessarily drawn to scale.
PR=
Answer:
PR = 3.6
Step-by-step explanation:
Triangles PQR and STR are similar figures. PQ is the base of triangle PQR just like ST is of triangle STR. PR is parallel to SR and RQ is parallel to RT.
[tex]\frac{Side PQ}{Side ST} =\frac{Side PR}{Side SR}[/tex]
=[tex]\frac{1.8}{1.2} = \frac{PR}{2.4}[/tex]
Cross-multiplying:
=(1.8)(2.4) = (1.2)(PR)
= PR = [tex]\frac{(1.8)(2.4)}{(1.2)}[/tex]
= PR = 3.6
Help me please I would appreciate it thanks
Using the properties of triangle, the value of x = 10.5 and y = 8.75.
A polygon with three vertices and three sides is called a triangle. The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180 degrees.
The sum of the angles of the triangle is 180 degrees.
A triangle's exterior angles add up to 360 degrees.
The shortest side of a triangle is always on the opposite side of its smallest angle.
From the given figure,
If we consider the line measuring 4, divides the triangle into 2 equal halves,
The sides of triangle will be in equal ratio,
⇒ [tex]\frac{5}{y} = \frac{6}{x} = \frac{4}{7}[/tex]
⇒ x = 10.5
⇒ y = 8.75
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Question 1-27
Which set of values is the solution set of the equation [2x-31 = 7?
(2, 5)
O (2.-5)
O 1-2, 5)
0 (-2,-5)
The equation be |2x-3| = 7 then the set of values is the solution set be (2, -5).
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. When two expressions are joined by an equal sign, a mathematical statement is called an equation.
In mathematics, to solve an equation is to identify its solutions, which are the values (numbers, functions, sets, etc.) that satisfy the requirement expressed by the equation. An equation typically consists of two expressions connected by an equals sign. A variable or variables are labeled as unknowns when looking for a solution.
Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign.
Let the equation be |2x-3| = 7
We know that if [tex]$|a|=b, a=\pm b$[/tex].
Since we do not know if 2x - 3 exists positive or negative, we will need a [tex]$\pm$[/tex] on the 7 :
[tex]$|2 x-3|=7 \Rightarrow 2 x-3=\pm 7$$[/tex]
Add 3 to both sides, and finally divide by 2, we get
[tex]$$\begin{aligned}& 2 x=3 \pm 7 \\& x=\frac{3}{2} \pm \frac{7}{2}\end{aligned}$$[/tex]
So x exists equal to either 10/2 = 5 or -4/2 = -2.
Therefore, the correct answer is option b) (2, -5).
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Tracy went to the store to buy half a pound of candy. if 1/4 of the candy she bought was gummy bears ,how many pounds of gummy bears did she buy?
Answer:
Tracy went to the store to buy half a pound of candy. if 1/4 of the candy she bought was gummy bears,how many pounds of gummy bears did she buy?
1/8 pound
Step-by-step explanation:
Im confused on this. What is -3/16 + (-11/20) simplified?
-59/80 is the value of the expression -3/16 + (-11/20).
What is Fraction?A fraction represents a part of a whole.
The given expression is -3/16 + (-11/20)
-3/16-11/20
LCM of 16 and 20 is 80
-3(5)-11(4)/80
(-15-44)/80
-59/80
Hence, -59/80 is the value of the expression -3/16 + (-11/20).
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A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1 per slice of pizza. Benjamin purchased a membership to this pizza shop. How much would Benjamin have to pay the pizza shop if he bought 7 slices of pizza this month? What would be the monthly cost for
x
x slices of pizza?
Answer:
$27
Cost = 20 + 1x = 20 + x
Step-by-step explanation:
Membership fee is $20 per month. This amount has to be paid whether he buys pizzas or not that month
If x is the number of pizzas, the total cost for 7 pizzas at discounted price of $1 is 20 + 7 x 1 = $27
For x pizzas, the equation is
Cost = 20 + x
8. Tyler and Jada wish to find the value of x, B the length of side BC in this triangle. Tyler decides to set up the equation 8 tan(56) = . Jada says she prefers an X equation that has x in the numerator. What is an equation she could use instead?
The equation she could use is 8 tan(56) =x. the value of x is 4.89
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that Tyler and Jada wish to find the value of x, B the length of side BC in this triangle.
Tyler decides to set up the equation 8 tan(56) =x
So, 8 tan(56) =x
x = 8 (0.611)
x = 4.89
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Which set of numbers could represent the lengths of the sides of a right triangle?
A. 15, 18, 21
B. 7, 24, 25
C. 8, 9, 10
D. 9, 11, 14
Answer: B- 7, 24, 25
Hope this helps :)
Step-by-step explanation:
Use the Pythagorean Theorem
a^2 + b^2 = c^2
49 + 576 = 625
625 = 625
Solve the equation
( i attached an image of the problem)
Answer:
B
Step-by-step explanation:
So they want to get r alone. In order to do that, we would have to do the opposite of what's shown, and we would do it to both sides of the equal sign. As follows...
A = (pi)(r)^2
I would first divide by pi, since it's multiplying pi originally. And we'll do it on both sides
A/Pi = r^2
Now the opposite of squared is square root, so we'll square root both sides
✓A/Pi = r
Giving us B
Answer:
B is the right answer....
B
[tex].a = \sqrt{ \frac{a}{\pi} } \: \: is \: the \: right \: answer..[/tex]
In a right triangle, the lengths of the legs are a and b. Find the length of the hypotenuse, if a=5, b=6
Answer:
√61
Step-by-step explanation:
Pythagoras Theorem states that :
a²+b²=c²
Where c is the hypotenuse and a and b are the lengths of the legs
So this formula needs no adjustments and only substituting values:
5²+6² = c²
25+36= c²
61 = c²
Square root both sides
c = √61
Hope this helped and have a good day
Write the tax schedule notation, compound inequality notation, and interval notation that would apply to an income of $172,876.99.show work
(a) Tax Schedule Notation (b) Interval Notation (c) Compound Inequality Notation
(a)Tax Schedule Notation:
Income Tax = 37% * ($172,876.99 - $518,400) + $208,725
(b) Interval Notation: $172,876.99 ∈ [$518,400, ∞)
(c) Compound Inequality Notation: $518,400 < $172,876.99 < ∞.
What is the inequality notation?
An inequality is a mathematical statement that represents the relationship between two quantities but states that they are not exactly equal. The four symbols of inequality notation are. ≥,>,<,and≤
(a) Tax Schedule Notation:
Income Tax = Tax bracket rate * (Income - Bracket Lower Bound) + Fixed Amount
Example:
Income = $172,876.99
Tax bracket rate = 37% (for 2022 taxes, 37% applies to taxable income over $518,400 for singles)
Bracket Lower Bound = $518,400
Fixed Amount = $208,725 + 37% * ($172,876.99 - $518,400)
Income Tax = 37% * ($172,876.99 - $518,400) + $208,725
(b) Interval Notation:
The interval notation for the income $172,876.99 would be $172,876.99 ∈ [$518,400, ∞)
(c) Compound Inequality Notation:
The compound inequality notation for the income $172,876.99 would be $518,400 < $172,876.99 < ∞.
Hence, (a)Tax Schedule Notation:
Income Tax = 37% * ($172,876.99 - $518,400) + $208,725
(b) Interval Notation: $172,876.99 ∈ [$518,400, ∞)
(c) Compound Inequality Notation: $518,400 < $172,876.99 < ∞.
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