Answers
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The domain of a function is all the x values that return real y values.
If you look at your function, notice that x is in the denominator of [tex] \frac{1}{x+1} + 5[/tex]. Remember the denominator of a fraction can never equal zero because dividing by 0 isn't possible. That means x ≠ -1. All other x values work if you plug them in, so your answer must be the one that doesn't include x = -1.
As you look through your answer choices, remember that a bracket [ or ] means that the number is included and a parenthesis ( or ) means that the number is not included. The U means "union," which means both domains to the left and right of the U are included.
Your only choices that have "-1" are B and D. However, in D, there are closed brackets, and we want the "-1" to not be included. That means B is the only correct answer.
in order to make the function undefined, x must not be equal to -1 which makes the function 1/0 + 5.
It's either B or D
Related Questions
If you choose one card from a standard deck, what is the probability that the card is either red or a king?
Answers
[tex] |\Omega|=52\\
|A|=\underbrace{26}_{\text{red}}+\underbrace{4}_{\text{king}}-\underbrace{2}_{\text{red king}}=28\\\\
P(A)=\dfrac{28}{52}=\dfrac{7}{13}\approx54\% [/tex]
Answer:
C) 7/13
Step-by-step explanation:
james just bought a large container of ice cream the label says that there are 16 servings of ice cream write a formula to help james determine the number of grams on one serving of ice cream x=number of grams of ice cream in the container y=number of grams per serving
Answers
Final answer:
To determine the number of grams per serving of ice cream, use the formula y = x / 16, where x is the total number of grams in the container and y is the number of grams per serving.
Explanation:
To determine the number of grams per serving of ice cream, we can set up a formula using the variables x and y. Since the container has 16 servings of ice cream, the total number of grams in the container can be represented as 16y (16 servings multiplied by the number of grams per serving).
So, the formula to determine the number of grams per serving (y) is: y = x / 16
For example, if the total number of grams in the container (x) is 800g, then the number of grams per serving (y) would be 800g / 16 = 50g.
find the area of an isosceles triangle with base 20 and base angles 40 degrees
Answers
make sure your calculator is in Degree mode.
[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=20\\ h=y \end{cases}\implies A=\cfrac{1}{2}(20)(y)[/tex]
WHAT ARE THE THREE DIFFERENT TYPES OF ANGLES!!!!!!??
Answers
Answer: The three different types of angles are an acute angle, which is an angle that is an angle that measures from 1° to 89°. A right angle, that specifically measures to 90°. Finally, an obtuse angle that measures from 91° to 179°. An angle that also measures 180° is a straight line, and is called a straight angle.
Hope this helped you! ♥
Final answer:
The three different types of angles are acute angles, right angles, and obtuse angles.
Explanation:
The three different types of angles are:
Acute angle: An acute angle is an angle that measures less than 90 degrees. For example, if you have an angle that measures 60 degrees, it would be considered an acute angle, since it is less than 90 degrees.
Right angle: A right angle is an angle that measures exactly 90 degrees. It forms a perfect square corner, like the angle formed by the corner of a book or the corner of a piece of paper.
Obtuse angle: An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. For example, if you have an angle that measures 120 degrees, it would be considered an obtuse angle, since it is more than 90 degrees but less than 180 degrees.
APLZ HELP ASAP INSCRIBED QUADRILATERALS
Answers
74 + R = 180
R = 106 degrees
(Similarly, if we had to solve for B, B + 92 = 180, and B = 88 degrees.)
∵ ∠E + ∠R = 180°
∴ ∠R = 180 - ∠E = 180° - 74° = 106°
HELP ASAP PLEASE
Given that ABC ~ DEC, find the value of x. If necessary, round your answer to two decimal places.
Answers
If these are similar triangles, this means that the ratio of corresponding sides is equivalent. In this case, AB corresponds to DE as CB corresponds to CE. In ratio and proportion form:AB / CB = DE / CE
x / 5 = (18 - x) / 25
5x = 18 - x
6x = 18
x = 3
a plane takes off at an angle of elevation of 15 degrees and travels in a straight line for 3,000 meters. What is the height of the plane above the ground at this instant?
Answers
Sin = Opposite/Hypotenuse
In this problem, the angle is 15°, the hypotenuse is 3000 m and we want to find the length of the opposite side (the height above the ground).
sin(30°) = height/(3000 m)
Multiplying by 3000 m, we get
height = (3000 m)*sin(30°) = 1500 m
The height of the plane at that instant is ...
1500 m
Solve equation -6/7m=-84
Answers
[tex] \frac{-6}{7m} [/tex] = -84, m ≠ 0
Multiply both sides of the equation by 7m.
-6 = -588m
Now switch the sides of the equation.
-588m = -6
Divide bot sides of the equation by -588.
m = [tex] \frac{1}{98} [/tex], m ≠ 0
Lastly,, check if the solution is in the defined range (it is) to find your final answer.
[tex]m = \frac{1}{98} [/tex]
Let me know if you have any further questions.
:)
To solve the equation -6/7m = -84, multiply both sides by the reciprocal of -6/7, which is -7/6. The solution is m = 98.
To solve the equation -6/7m = -84, we need to isolate the variable m on one side of the equation. We can do this by performing the inverse operation of what is currently being done to m. Since m is being divided by -6/7, we can multiply both sides of the equation by the reciprocal of -6/7, which is -7/6, to cancel out the division on the left side.
The steps to solve the equation are:
Multiply both sides of the equation by -7/6:
-7/6 * (-6/7m) = -7/6 * -84
The left side simplifies to m, and the right side becomes m = 98.
So, the solution to the equation is m = 98.
Which of the following is a reason people sometimes use mean or median to misrepresent the “average” of a set of data?
a.
In many data sets, the mean and median are always similar.
b.
In most data sets, the mean and median are always different.
c.
The median is meaningless but is often confused with the mean.
d.
In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda.
Answers
Answer: In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda.
Step-by-step explanation:
We know that the "mean" is the "average" we used where we need to add up all the numbers and then divide by the number of elements where as the "median" is the "middle" value in the list of numbers.
The mean and median would not affected by outlying data points within data sets. Thus, the median is often used when a data set has outlying data points that could influence the mean and thereby misrepresent the middle of the data set.
The correct reason people sometimes use mean or median to misrepresent the “average” of a set of data is " In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda. '
can someone plz help me!!!
Answers
6*5, 3, 8, 4
30, 3, 8, 4
∛64 > ∛27> √ 64 > 6√25
Q is directly proportional to r. q is 76 when r is 20. work out q when r is 45.
Answers
q=kr
thus
k=q/r
when r=20, q=76
hence
k=76/20=
q=76/20r
when r=45 the value of q will be:
q=76/20×45
q=171
Answer:
q=171
Step-by-step explanation:
Hello there!
In this explanation k is constant and it means that q is some constant amount bigger than r.
q=kr
76=k×20
76÷20=k
k= 3.8
q=3.8r
q=3.8×45
q=171
A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?
1. Sydney’s pyramid will have the same surface area because the .5 in the expression for the area of the triangular faces will make up for the slant height being doubled.
2. Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
3. Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
4. Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
30 POINTS
Answers
[tex]A=b^2+2bx[/tex]
note that b²=base area
so, if we say that her original pyramid's surface area is [tex]A_1=b^2+2bx[/tex], then the new one has a slant height of twice that, ie, we replace x with 2x and see what happens
[tex]A_2=b^2+2b(2x)[/tex]
[tex]A_2=b^2+4bx[/tex]
if we try to work [tex]A_1[/tex] back into there
[tex]A_2=b^2+2bx+2bx[/tex]
[tex]A_2=(b^2+2bx)+2bx[/tex]
[tex]A_2=A_1+2bx[/tex]
see our options
option 1 is wrong since the surface area increased by 2bx
option 2 is wrong since the surface area increased by 2bx, also we do use the slant height when finding surface area
option 3 is wrong because we got [tex]A_2=A_1+2bx[/tex] and not [tex]A_2=2(A_1)[/tex]
option 4 is correct since the new surface area is greater than the original by 2bx
answer is option 4
Answer:
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
Step-by-step explanation:
Olly drank 1/2 of a 16 fluid ounce bottle of juice how many cups of juice are left in the bottle explain
Answers
Remember the conversion: 8 fluid ounces = 1 cup. Since Olly drank 8 fluid ounces, then using the conversion, we can tell that Olly drank 1 cup of juice.
The total number of cups of juice that are left in the bottle are 8x.
What is division?Division is a process of splitting a number into two or more equal parts.
Given is that Olly drank 1/2 of a 16 fluid ounce bottle of juice.
Assume that 1 fluid ounce of bottle can fill {x} cups. So, we can write -
16 fluid ounce bottle of juice can fill {16x} cups.
So, 1/2 x 16 fluid ounce of juice will fill {1/2 x 16x} cups.
{1/2 x 16x} cups
8x cups
Therefore, the total number of cups of juice that are left in the bottle are 8x.
To solve more questions on division, visit the link below-
https://brainly.com/question/15381501
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Laura is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 16.8 in. and a radius of 14.6 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.
Answers
The lateral surface area formula of a cylinder is LA = 2 pi r h
We are given
r=14.6 in
h=16.8 in
pi=3.14
LA = 2 * 3.14 * 14.8 * 16.8 about 1561 in^2
Answer:
1,541
Step-by-step explanation:
System of equations help?
Answers
Part A: Explain in words the mistake Juanita made. Part B: Solve the equation 3x + 6 = 24
Answers
3x + 6 = 24
divide all terms by 3
3x/3 + 6/3= 24/3
x + 2= 8
subtract both sides by 2
x= 6
CHECK:
3x + 6 = 24
3(6) + 6= 24
18 + 6= 24
24= 24
ANSWER: She did not divide all terms by 3 when eliminating the x term's coefficient. x= 6
Hope this helps! :)
Q 5 please whats are the coordinates
Answers
[tex](-10,-3)[/tex]⇒[tex][-(-10),-(-3)][/tex]⇒[tex](10,3)[/tex]
We can conclude that the coordinates of the point after a 180° clockwise rotation are: (10,3)
Solution:
(x,y)►(-x,-y)
Substitute:
(-10,-3)►(-(-10),-(-3))
=(10,3)
So the coordinates of the 180° clockwise rotation are (10,3).
The International Space Station orbits approximately 250 miles above the surface of the Earth. If the station makes 16 orbits per day, what is the linear velocity, in miles per hour, of the International Space Station? Round the answer to the nearest whole number. Use the following information: radius of Earth ≈ 3,960 miles and 1 mile = 5,280 feet.
Answers
So, the radius of the orbit with respect to the center of Earth will be = r = 250 + 3960 = 4210 miles
Angular velocity = w =16 orbits per day = 16 x 2π radians per day
w = 32π radians per day
w = 32π/24 radians per hour = 4π/3 radians per hour
Linear speed = v = r w
v = 4210 x 4π/3 miles per hour
v = 17,635 miles per hour
The International Space Station has a linear velocity of approximately 17,625 miles per hour when orbiting Earth at an altitude of 250 miles above the surface and completing 16 orbits per day.
To find the linear velocity of the International Space Station (ISS), we first calculate the circumference of its orbit around the Earth. The radius of the Earth is given as approximately 3,960 miles, and the ISS orbits about 250 miles above the surface. Therefore, the total distance from the center of the Earth to the ISS is 3,960 miles + 250 miles = 4,210 miles.
The formula for the circumference (C) of a circle is C = 2yr, where y represents pi (approximately 3.1416), and r is the radius of the circle. Substituting the values, we get C = 2 * 3.1416 * 4,210 miles = 26,437.792 miles.
Given the ISS makes 16 orbits per day, we can calculate the daily distance traveled by multiplying the circumference of a single orbit by the number of orbits: 16 orbits/day * 26,437.792 miles/orbit = 423,004.672 miles/day.
To find the velocity in miles per hour (mph), we divide the daily distance by the number of hours in a day: 423,004.672 miles/day y 24 hours/day = 17,625.195 mph. Rounding to the nearest whole number, we get a linear velocity of approximately 17,625 mph.
An apple pie with a circumference of 28.26 inches is cut into 6 equal-sized pieces. Two pieces of the pie are eaten. What is the area of the pie that is left? Select the correct answer. Use 3.14 for π.
Answers
d = C / π
d = 28.26 / 3.14
d = 9 in
but r = d/2 = 9/2 = 4.5 in
A = π r^2
= 3.14 x (4.5^2)
= 3.14 x 20.25
= 63.585
divided into 6 equal
so 63.585 / 6 = 10.5975
but ate 2, so there are 4 pieces left
4 x 10.5975 = 42.39
answer
the area of the pie that is left is 42.36 in^2
your answer is here...
we know that circumference of circle = πd
given the circumference of the apple pie = 28.26 in.
therefore πd = 28.26 in.
==> 3.14 × d = 28.26 in.
==> d = 28.26/3.14
==> d = 9 in.
the diameter of the apple pie is 9 in.
therefore radius of the apple pie = 9/2 = 4.5 in.
area of the apple pie = πr²
== 3.14 × 4.5 × 4.5
= 63.585 in²
it's divided into 6 equal parts and two pieces are eaten. so the area of leftover pie = 63.585/6 × 4
= 63.585/3 × 2
= 21.195 × 2
= 42.39 in²
cheers!!
determine the qotient of 7,684 and 78
Answers
To determine the quotient of 7684 and 78, you'll need to divide 7684 by 78 or 7684/78.
You can do this by dividing 7684 by 78 in a calculator. Once you've done so, your quotient or answer, rounded to the nearest tenth, will be...
98.5
I hope this helps
Final answer:
The quotient of 7,684 and 78 is 98 with a remainder of 60, determined through long division.
Explanation:
To determine the quotient of 7,684 and 78, follow these steps:
Set up the division problem using long division with 7,684 as the dividend and 78 as the divisor.
Divide 78 into the first two digits of the dividend (76), which does not go evenly. Move to the first three digits (768).
Divide 78 into 768 to begin finding the quotient. 78 goes into 768 approximately 9 times because 78 x 9 = 702.
Subtract 702 from 768 to get a remainder of 66 and bring down the next digit from the dividend, which is 4, forming 684.
Divide 78 into 684. It goes 8 times because 78 x 8 = 624.
Write 8 next to the 9 in the quotient to update the quotient to 98 and subtract 624 from 684 to get a new remainder of 60. Since there are no more digits to bring down from the dividend, 60 is the final remainder.
The quotient is 98 with a remainder of 60.
The cost for groceries was $11.20 before sales tax. How much was the total cost of groceries after the 5% sales tax was charged?
Answers
Which graph models the equation y = 3.5x?
Answers
slope is 3.5
x = 0, y = 0
x = 1, y = 3.5
x = 2, y = 7
x = 4, y = 10
Answer: the answer is c
Step-by-step explanat
hey can you please help me posted picture of question
Answers
D.(-x-9i)(x-9i)
If you want to verify that the option D.(-x-9i)(x-9i) is the correct answer, you can apply the distributive property to (-x-9i)(x-9i).
Therefore, when you apply the distributive property, you obtain that the result is:
-x²-81
The graph attached shown this equation, which is a parabola.
what is the work for 34,992 divided by 81
Answers
HELP ASAP
A rain barrel is full of water and used to water a garden. The rain barrel loses water at the rate of 2.5 gallons of water per minute. After seven minutes, the rain barrel contains 37.5 gallons.
D. What is the total number of minutes it will take to completely empty the rain barrel?
Answers
37.5 + 7*2.5 = 55
Now that it's full again, let's divide the total amount by the rate of water loss:
55/2.5 = 22
It will take 22 minutes to completely empty the rain barrel
The rain barrel, losing water at a rate of 2.5 gallons per minute, started with a volume of 55 gallons. It will take a total of 22 minutes to completely empty the barrel.
To calculate the total number of minutes it will take to completely empty the rain barrel, we must first establish how much water is being lost per minute and use that rate to determine how long it will take to empty the current amount of water in the rain barrel.
We know that the rain barrel loses water at a rate of 2.5 gallons per minute and after seven minutes, it contains 37.5 gallons. To determine the starting volume (V0) when the barrel was full, we can add the amount of water already used in seven minutes back to the current volume:
V0 = current volume + (rate of loss x time)V0 = 37.5 gallons + (2.5 gallons/minute x 7 minutes)V0 = 37.5 gallons + 17.5 gallonsV0 = 55 gallonsWith a starting volume of 55 gallons and a loss rate of 2.5 gallons per minute, we can calculate the total time (T) to empty the barrel:
T = Total volume / Rate of lossT = 55 gallons / 2.5 gallons/minuteT = 22 minutesTherefore, it will take a total of 22 minutes to empty the rain barrel completely.
what is a multiple of 6,9,18 between 61 and 107
Answers
We can find the answer by looking at the largest number among the three of them: 18. The only multiples of 18 between 61 and 107 are 72 and 90. We can check that both numbers are also multiples of 6 and 9:
90 : 6 = 15
90 : 9 = 10
72 : 6 = 12
72 : 9 = 8
the circumference of a circle is 37.68 what is the radius
Answers
circumference//37.68=2(3.14)r =6.28 now divide 6.28 by both sides which will give you 6 therefore the radius is 6
There are 9 different colors of paint to choose from. Out of the 9 colors, how many ways can 4 different colors be chosen?
Answers
9C4
=(9!)/(4!(9-4)!)
=362,880/(24×120)
=362,880/2880
=126
thus the number of ways is 126 ways
Answer:
Your answer would be 126 ways hopefully this helps!
Which diagram shows the most useful positioning of a rectangle in the first quadrant of a coordinate plane? Answers are in the pictures.
Answers
me thinks you do not have to deal with all the other stuff. you jus tuse "a" for the height and "b" with the width
A diagram that shows the most useful positioning of a rectangle in the first quadrant of a coordinate plane is: D. diagram D.
What is a quadrant?In Mathematics and Euclidean Geometry, a quadrant is the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a coordinate plane or cartesian coordinate.
This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant 1: both x and y are positive.Quadrant 2: x is negative while y is positive.Quadrant 3: both x and y are negative.Quadrant 4: x is positive while y is negative.In this scenario, we can logically deduce that the coordianetes of this rectangle can be easily calculated by using diagram D;
Length, b = |b - 0| = b
Width, a = |0 - a| = a
Read more on quadrant here: brainly.com/question/2551599
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The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is the _____.