Answers
The domain of the function y = √x + 4 is
0 ≤ x < ∞ How to find the domainAll of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.
The domain of a function are all possible values that will give output
For the function y = √x + 4
the domain are all positive real numbers which is shown by option C which is 0 ≤ x < ∞
these are numbers from zero to infinity. infinity is denoted by the symbol ∞
Hence the domain is 0 ≤ x < ∞
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Related Questions
If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is $1464. If he hires 1 day laborer and 5 concrete finishers, his daily cost is $943. Find the daily wage for each type of worker. Solve the problem using matrices.
Answers
The day worker's daily compensation is $160, while the concrete finisher's daily wage is $143.
What is matrices?A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of integers divided into rows and columns. Matrix A, for example, contains two rows and three columns. A matrix is a collection of integers that are organized in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
Let x be the Charge for day labor and y be the charge for concrete finisher,
8x+2y=1464
x+5y=943
multiply x+5y=943 by 8,
8x+40y=7544
8x+2y=1464
subtracting them,
38y=6080
y=$160
x+5*160=943
x=943-800
x=$143
The daily wage for day worker is $160 and the daily wage for concrete finisher is $143.
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There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh
graders, and the rest are eighth graders.
How many band members are seventh graders?
Answers
Answer:
14
Step-by-step explanation:
10 percent of 70 is 7
20 percent of 70 is 14
So 14 is your answer
Please vote brainliest
Thanks
Have a nice evening
Answer: All you would have to do is multiply 70 by 20% which is 14. So 14 7th graders are a total of the band.
Step-by-step explanation:
Help meeeeee I don’t knowwwwwwwww
Answers
Answer:
# of adult tickets = 10
# of child tickets = 4
Step-by-step explanation:
a = # of adult tickets
c = # of child tickets
a + c = 14
a = 14-c
9a + 5c = 110
9(14-c) + 5c =110
126 - 9c + 5c = 110
-4c = 110-126 = -16
c = -16/-4 = 4
a = 14-4 = 10
This design began from the construction of a regular hexagon.
Select all true statements about quadrilateral JKLO.
1.) When JKLO is reflected across segment OA, JKLO is taken to HGLO. So, quadrilateral JKLO is congruent to quadrilateral HGLO.
2.) When JKLO is reflected across segment OJ, JKLO is taken to JIHO. So, quadrilateral JKLO is congruent to quadrilateral JIHO.
3.) When JKLO is reflected in any way, it will not produce another congruent quadrilateral in this figure. However, there is a way to translate JKLO to take it to another quadrilateral in this figure.
4.) When JKLO is reflected across segment OI, JKLO is taken to JIHO. So, quadrilateral JKLO is congruent to quadrilateral JIHO.
5.) When JKLO is reflected across segment OL, JKLO is taken to HGLO. So, quadrilateral JKLO is congruent to quadrilateral HGLO.
Answers
The statement 2) and 5) about the construction are correct.
What is construction?In geometry, the term "construction" refers to precisely drawing forms, angles, or lines. These structures simply require a pencil, compass, and straightedge (a ruler).
Given this, a design was created by building a standard hexagon.
The construction's real claims are as follows:
2) JKLO is taken to JIHO when it is mirrored across segment OJ. Therefore, quadrilateral JKLO and quadrilateral JIHO are congruent.
5) JKLO is transferred to HGLO when it is reflected over segment OL. Therefore, quadrilateral JKLO and quadrilateral HGLO are congruent.
Therefore, statement 2 and 5 about the structure are true.
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the volume of a rectangular box with a square base remains constant at 1,100 cm3 as the area of the base increases at a rate of 2 cm2/sec. find the rate at which the height of the box is decreasing when each side of the base is 12 cm long. (do not round your answer.)
Answers
If the area of the area of the base increases at rate of 2 cm²/sec then the rate at which the height of the box is decreasing is 0.11 cm/sec .
In the question ,
it is given that ,
the volume of the rectangular box having square base is 1100 cm³ ;
the rate of decrease of the area is (dA/dt) is = 2 cm²/sec ;
we know that ; Volume = Area × Height ;
the area of the square base of side 12 cm is = 12 × 12 = 144 ;
So , height = Volume/Area ;
= 1100/144 ;
Now , V = A × h ;
differentiating the above equation w.r.t. "t" ,
we get ;
dV/dt = A×(dh/dt) + h×(dA/dt)
0 = 144×(dh/dt) + (1100/144)×(2)
dh/dt = -2200/(144 × 144)
= -0.106095
≈ -0.11
Therefore , the rate of change of height is = 0.11 cm/sec .
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how do i solve 4( К-8 ) = -3+4к
Answers
Answer:
No solutions, there is nothing that will make the equation true
Step-by-step explanation:
You need to isolate the variable
4(K-8) = -3+4K
First get ride of the parenthesis by distributing
(4 x k) - (4 x 8) =-3+4k
4k-32 = -3+4k
next rearrange the equation to have the variable on only one side
4k-32 = -3+4k (subtract 4k from one side)
-32 = -3
The variables canceled out, leaving an equation. If the equation is true there are infinite equations while if the equation is false there are no solutions
-32 is NOT equal to -3, meaning there are no solutions
What is the antiderivative of 1/sinx?
Answers
The anti-derivative in other words integration of the inverse of sine function i.e 1/sinx is
x sin⁻¹x + √(1 - x²) + C.
Integration of a function is the inverse process of differentiation. The integral is just the inverse derivative. The inverse integral of sin is written as
x sin⁻¹x + √(1 - x²) + C.
where ∫ --> the sign of integration, dx --> that the integration of sine inverse with respect to x, C --> the constant of integration.
Integral of Sin Reverse proof by integration by parts :
The formula for integration by parts is ∫f(x)g(x)dx = f(x) ∫g(x)dx - ∫[d(f(x) ) /dx×∫g(x) dx] sin⁻¹x can be written as sin⁻¹x = sin⁻¹x.1.f(x) = sin⁻¹x, g(x) = 1
d(sin⁻¹x)/dx = 1/√(1 - x²)
Using these equations and facts,
∫sin⁻¹x dx = ∫sin⁻¹x.1 dx
= sin⁻¹x ∫1dx - ∫[d(sin⁻¹x)/dx × ∫1 dx] dx
= x sin⁻¹x - ∫[1/√(1 - x²) × x] dx
= x sin⁻¹x - ∫x/√(1 - x²) dx
= x sin⁻¹x + (1/2) ∫-2x/√(1 - x²) dx [multiplication and division by 2]
= x sin⁻¹x + (1/2) ∫(-2x)(1 - x²)-1/2 dx
= x sin⁻¹x + (1/2) [(1 - x²)-1/2 + 1/ (-1/2 + 1)] + C {using the formula ∫[f(x)]nf'(x)dx=[f(x)]n +1/(n + 1) +C}
= x sin⁻¹x + (1/2) [(1 - x²)1/2/ (1/2)] + C
= x sin⁻¹x + (1 - x²)1/2 + C
= x sin⁻¹x + √(1 - x²) + C
Therefore the inverse derivative of 1/sinc is x sin⁻¹x + √(1 - x²) + C.
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in excel, to construct a residual plot, input of a y range and an x range is needed. aimee is examining the relationship between age and square foot range (sqft) of living space. in the scenario provided, what would be the y and what would be the x range data?
Answers
For the given case, in the residual plot, the x range is for the age and the y range must be the square foot
A residual plot appears the difference between the observed response and the fitted response values. The ideal remaining plot, called the null residual plot, appears as a random scatter of focuses shaping a roughly constant width band around the identity line. It is vital to check the fit of the model and presumptions – steady change, normality, and freedom of the errors, utilizing the residual plot, alongside normal, sequence, and lag plot.We are given the information that there is a relationship between age and square foot range (sqft) of living space, so for the residual plot the y range must be for the square foot and the x range must the age
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working together, it takes two different sized hoses 40 minutes to fill a small swimming pool. if it takes 60 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answers
It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.
Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40
Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60
Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60
The amount of swimming pool filled in 1 minute = (60 - 40)/2400
The amount of swimming pool filled in 1 minute = 20/2400
The amount of swimming pool filled in 1 minute = 1/120
Total time taken to fill swimming pool = 1 ÷ (1/120)
Total time taken to fill swimming pool = 120 minutes
Thus, 120 minutes are required.
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what is the probability that in a random sample of size 10, a total of more than 90 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 10 students?)
Answers
The probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.
Large Population Z-test:A hypothesis test called the Z-test uses the z-statistic, which has means and variance and follows the normal distribution. Whenever the variance is known, the Z-test reveals whether 2 population means are distinct. The Z-test is presented asFor the stated question-
mean μ of 10standard deviation σ of 3random sample of size 's' is 10pizzas are consumed n = 90Estimate the probability for the consumed pizzas.
P(x > 90/10) = P(x = 9)
P(x = 9) = P[x - μ/ σ/√n > z > (9 - 10) / (3/√10)]
P(x = 9) = P(z > -1.05)
P(x = 9) = 1 - P(z > -1.05)
P(x = 9) = 1 - 0.1469
P(x = 9) = 0.8531
Thus, the probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.
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The complete question is-
The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3.
what is the probability that in a random sample of size 10, a total of more than 90 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 10 students?)
I have $16 more than my sister Sue,
She has $10 more than brother Paul.
Together we have $66.
How much money does Paul have?
Answers
Answer: $10
Step-by-step explanation:
Sue has $10 more than Paul which means she has $20. Who is speaking has $16 more than Sue ($16 more than $20) which means they has $36.
Adding all of their money, $10, $20, and $36, equals $66
a company wants to hire a software engineer, an administrative assistant, and a sales representative. there are 4 possible candidates for the position of software engineer, 4 for the position of administrative assistant, and 6 for the position of sales representative. how many ways are there to choose the three people who will be hired?
Answers
The number of ways in which we can select a software engineer, an administrative assistant, and a sales representative is 48.
Since we are only choosing one option from each category, the number of alternatives for each category is equal to the number of combinations for each category .
Using the equation for each pair and then adding them up,
C (n,r) = n! / (r! (n - r)! )
we get the required number of combinations as 48.
Factorial
There are n! techniques of arranging n unique things into an ordered sequence, permutations where n = r.
Combination
The number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.
Permutation
The number of ways to choose a sample of r elements from a set of n distinct objects when order does matter and replacements are not allowed. When n = r this reduces to n! , a simple factorial of n.
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For a recipe, Val uses 4 cups of sugar for each cup of flour. How many cups of flour does Val need when he uses 1 cup of sugar?
Which one is correct
1/4
1/2
4
1
Answers
Answer:
1/4
Step-by-step explanation:
4 : 1 = 1 : x
x = 1 · 1 / 4
x = 1/4
Which of the following are the roots of the quadratic equation 3x^2 + 7x + 2 = 0?
Answers
Step-by-step explanation:
HELPP!!!
angles of a triangle
Math
help please! Thank u.
Answers
Answer:Try 81
Step-by-step explanation:
If f(x)=3x+2 and g(x)=x2−x, find the value. f(−2)=
Answers
The Function value of f(-2) is -4
What are Function?
Exactly each element of Y is assigned to each element of X in a mathematical function from the a set X to a set Y. Both the set X as well as the set Y are referred to as the function's domain and codomain, respectively. Al-Biruni as well as Sharaf al-Din al-Tusi were two Persian mathematicians who are credited with developing the earliest known method for approaching the concept of function. The original conception of functions was the relationship between varying quantities and other variables. An illustration of this is how time affects a planet's position. The idea was developed historically at the conclusion of the 17th century with the development of infinitesimal calculus, and up to until nineteenth century, the functions taken into consideration were differentiable.
Solution:
Given: f(x) = 3x + 2
To find: Value of f(-2)
To solve this problem we will simply replace the value of x in Function with -2
f(-2) = 3*(-2) + 2
f(-2) = -6 + 2
f(-2) = -4
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evaluate the following expression for x=8
a. 82
b.178
c.854
d. 188
Answers
Answer:
178
Step-by-step explanation:
SORRY IF ITS WRONG IM BAD AT MATH :(
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 9 cubic feet and the volume of each large box is 17
cubic feet. There were twice as many large boxes shipped as small
boxes shipped and the total volume of all boxes was 258 cubic feet.
Determine the number of small boxes shipped and the number of large
boxes shipped.
There were __?_
small boxes shipped and __?_
large boxes shipped.
Answers
Answer:
9 small boxes and 15 large boxes
Step-by-step explanation:
x = small box
y = large box
x + y = 24
9x + 24y = 441
-9x - 9y = -216
15y = 225
y = 15
x + 15 = 24
x = 9
Data that are left-skewed would include:
O values that are unusually low.
O values that are unusually high.
O values that are symmetrically distributed.
O values that are all less than the median.
Answers
Data that are left-skewed would include values that are unusually high.
What is meant by symmetry of data?A data is symmetric when it has a mirror image on both sides of the mean. For a symmetric data the mean = mode = median.
What is left-skewed data?If the data is asymmetric, it can either be left-skewed or right-skewed. A left-skewed data has mots of its values greater than the mean. In this case the mean < median < mode. Left-skewed data mostly contains very less amount of values with smaller magnitudes.
Hence, data that are left-skewed would include values that are unusually high.
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Which expression is equivalent to 3(−5.5b − 3) − (5b + 7)?
11.5b + 4
−21.5b − 2
−21.5b − 16
11.5b − 16
Answers
Answer:
-21.5b - 16
Step-by-step explanation:
Simplify the expression
3(−5.5b − 3) − (5b + 7)
-16.5b - 9 - 5b - 7 [Expand the parentheses]
-21.5b - 16 [Add like terms]
This matches the third option.
10 grams is the same as how many ounces?
Answers
The value of the one-gram quantity in ounces will be 0,35274 ounces.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the quantity of some materials is measured in 10 grams. The quantity of the material in ounces will be calculated as,
1 grams = 0.035274
10 grams = 10 x 0.035274
10 grams = 0.35274 ounces
Therefore, the value of the one-gram quantity in ounces will be 0,35274 ounces.
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how many ways can you distribute 6 faceless players over 4 servers (each of the servers are identical)?
Answers
Therefore, there are 4 x 1128 = 4512 possible 5 card poker hands with at least 3 aces that can be dealt from a standard deck of 52 cards.
1. There are 4 aces in a standard deck of 52 cards, so the maximum number of aces in a 5-card poker hand is 3.
2. There are C(4,3) = 4 ways to choose 3 aces out of the 4 aces in the deck.
3. For the remaining 2 cards, there are C(48,2) = 1128 ways to choose them from the 48 non-ace cards.
4. Therefore, there are 4 x 1128 = 4512 possible 5 card poker hands with at least 3 aces that can be dealt from a standard deck of 52 cards.
There are 4 aces in a standard deck of 52 cards, so the maximum number of aces in a 5-card poker hand is 3. There are C(4,3) = 4 ways to choose 3 aces out of the 4 aces in the deck. For the remaining 2 cards, there are C(48,2) = 1128 ways to choose them from the 48 non-ace cards.
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group of scandinavians consists of 5 swedes, 6 finns, and 7 norwegians. they are seated at random around a table. compute the following probabilities: (a) that all swedes sit together, (b) that all swedes and all the finns sit together, and (c) that all the norwegians, all the swedes, and all the finns sit together.
Answers
For the following data of group of Scandinavians consisting of Swedes, Finns and Norwegians the probability for the following parts will be:
By using the formula, Circular permutation = (n-1)
Total permutations = 18 - 1 = 17
(a) all the swedes sit together
Total permutations where all the swedes sit together
= 13 x 5
all swedes sitting on 5 consecutive seats so they can be arranged times and everyone including Norwegians as a group can be arranged in
Probability that all the swedes sit together = [tex]\frac{13 X 5}{17}[/tex]
(b) that all the Finns and all the Swedes sit together
Total permutations where all the Finns and all swedes sit together = 8 x 6 x 5
Probability that all the Finns and all swedes sit together = [tex]\frac{8 X 6 X 5}{17}[/tex]
(c) that all the Norwegians, Swedes, and Finns sit together.
Total permutations where all the Norwegians, Swedes, Finns sit together = (3-1)
So Probability that all the Norwegians, Swedes, Finns sit together = [tex]\frac{2 X 6 X 5 X 7}{17}[/tex]
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Rectangular prism A is similar to rectangular prism B. The ratio of the surface of A to B is 4:1. If the volume of rectangular prism B is 12 cm3 , what is the volume of rectangular prism A?
Answers
The volume of rectangular prism A will be 48 cm³
How to find area of Rectangular Prism?
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height.
Since the surface ratio of rectangular prism A to rectangular prism B is 4:1, the ratio of the linear dimensions of A to B must also be 4:1.
This means that if one linear dimension of rectangular prism A is 4 times the size of the corresponding dimension of rectangular prism B, then all of the linear dimensions of A will be 4 times the size of the corresponding dimensions of B.
Since the volume of a rectangular prism is given by the product of its linear dimensions.
The volume of rectangular prism A will be 4 times the volume of rectangular prism B.
Therefore, if the volume of rectangular prism B is 12 cm³, the volume of rectangular prism A will be 4 * 12 cm³ = 48 cm³.
Hence, The volume of rectangular prism A will be 48 cm³.
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earnings. 2. A minibus had 23 passengers at the beginning of a journey. Twelve passengers alighted at the hrst stop while 9 boarded. Six of those who boarded at the first stop alighted at the second stop and 12 got in. the minibus should not stop again up to the final destination. The charges from the starting point were sh.50 up to the first stop sh. 70 up to the second stop and sh.85 up to the first destination. a) How many passengers alighted at the final destination? b) How many passengers were ferried by the minibus through the journey? c) How much money was collected during the trip?
Answers
. A minibus had 23 passengers at the beginning of a journey. The passengers alighted at the final destination, passengers were ferried by the minibus through the journey, and money collected during the trip are
20 passengers alighted. 24 passengers 2820 shillings. How many passengers alighted at the final destination?Generally, a) The minibus had
23 - 12 + 9 = 20 passengers at the first stop.
After the second stop, it had
20 - 6 + 12 = 26, passengers.
At the final destination, 26 - 6 = 20 passengers alighted.
b) The minibus ferried a total of
23 + 12 + 9 - 6 - 12 = 24 passengers through the journey.
c) The charges for the first stop were
50 * 12 = 600 shillings.
The charges for the second stop were
70 * 6 = 420 shillings.
The charges for the final destination were
85 * 20 = 1700 shillings.
The total amount of money collected during the trip was
600 + 420 + 1700 = 2820 shillings.
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which expression shows a way to factor 16 + 72
Answers
The expression that shows a way to factor 16 + 72 is 8(2 + 9)
How to determine the way to factor the expression?From the question, we have the following parameters that can be used in our computation:
16 + 72
Express the terms of the expression as products
So, we have the following representation
16 + 72 = 8 * 2 + 8 * 9
Factor out 8 from the expression
This gives
16 + 72 = 8 * (2 + 9)
Hence, the factored expression of 16 + 72 is 8 * (2 + 9)
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The area of a rectangle is 215.1 m². If the length is 18 m, what is the perimeter of the
rectangle?
Answers
Answer: 59.9 m
Step-by-step explanation:
Area of rectangle = Length times Width
We already know the length is 18m
So take 215.1 divided by 18= 11.95m
To find the perimeter of the Rectangle we use the formula
p= 2(18+ 11.95) = 59.9 m
So the perimeter is 59.9 m
Your cell phone plan costs $24.99 per month plus $0.16 for each text message you send or receive. You have at most $30 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
Please use an inequality equation
Answers
Answer:
Step-by-step explanation:
ok
Find domain and range please! Also, due tmrw!
Answers
The Domain of the Function is {-2, -1, 0,1 ,2, 3, 4, 5} and the Range of the Function is {4, 3, 2, 1, 0, -1}
What are Functions?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
We neeed to find the Domain and Range of the Function
Domain refers to all the values of x = {-2, -1, 0,1 ,2, 3, 4, 5}
Range refers to all the values of y = {4, 3, 2, 1, 0, -1}
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Which of the following transformations is non-rigid? A.translationB.dilationC.reflectionD.rotation
Answers
From the question the transformations that non-rigid is dilation. The correct answer is B.
what is nonrigid transformation?Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.
Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.
As a result, a dilation is a non-rigid transformation because the size of the image is changing.
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