If the actual length of the pool table is 6 feet , then the length of the pool table in the drawing is 12 inches .
In the question,
it is given that ,
Barbara drew an scale drawing of the game room.
the scale that she used is 1 feet in the actual length is represented by 2 inches in the drawing ,
which means ,
1 feet = 2 inches
to find the length of 6 feet in the drawing ,
6 feet = 6 × 2 inches
= 12 inches
Therefore , If the actual length of the pool table is 6 feet , then the length of the pool table in the drawing is 12 inches .
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Now, reverse the relationship of jersey number and player height. What if player height is the input and jersey number is the output? The diagram below helps you see that when the input is 68, the output may be either 10 or 18. this relationship is not a function. why is the relationship between the height (input) in the jersey number (output) not a function.
A.in a function, one input can only have one output
B.in a function, one outputcan have one input
C.in a function, one input can have two or more outputs
D. in a function two or more outputs can have one input
Answer:
A
Step-by-step explanation:
PLEASE HELP ME WITH THESE PROBLEMS!
Answer:
1. Congruent, SAS
2. Congruent, SSS
3. Not congruent
4. Congruent, SAS
5. Congruent, SSS
6. Not congruent
7. Congruent, SAS
8. Not congruent
Solve for x
-3/x+7 = 8/x-4
Answer: x= 1
Step-by-step explanation:
you want to select a sample of 100 employees of company x. you assign a number to every employee in the company database from 1 to 1000, and use a random number generator to select 100 numbers. is this a simple random sampling?
Yes this an example of simple random sampling.
What is simple random sampling?
Every person in the population has an equal probability of getting chosen in a simple random sampling. The entire population should be included in your sampling frame.
You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.
Main Body:
It is uncommonly attainable to collect knowledge from each member of a gaggle of people once conducting analysis on them. In its place, you choose a sample. The population that may really participate within the study is that the sample.
As in this case we select 100 random people out of 1000 , so it is an example of simple random sampling.
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Find the zeros of the function. Enter the solutions from least to greatest. f(x)=(x-10)^2-49
The zeros of the function are-
lesser x = 3greater x = 7What is the definition of the zeros of the function?Any substitution for the variable in a function that results in a zero answer is known as the zero. The x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.The given expression is-
f(x)=(x-10)^2-49
To find the zero put f(x) = 0.
(x-10)^2-49 = 0
Including both sides of an equation, add 49.
(x-10)^2 - 49 + 49 = 49
(x-10)^2 = 49
To remove the exponent upon that left side of the equation, take the appropriate root of both sides.
x - 10 = ±√49
x - 10 = ±7
Solve each case;
a: x - 10 = + 7
x = 7 + 10
x = 17 (greatest number)
b: x - 10 = - 7
x = -7 + 10
x = 3 (lesser value)
Thus, the zeros of the function are 3 and 17.
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help please and thankyou 2
The length of the right triangle, y is 8.94 units.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sides of a right angle triangle can be found using trigonometric ratios or Pythagoras's theorem.
c² = a² + b²
where
c = hypotenuse sidea and b are the other legs.Therefore,
12² - 8² = y²
144 - 64 = y²
y = √80
y = 8.94427191
y = 8.94 units
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Twice the sum of a number and 4 is 18
Answer: 7
Explain: 2x + 4 = 18 which is required an equation, so the sum of thrice a number and 7 is 25. So 3x + 7 = 25
Answer:
7
Step-by-step explanation:
What are the two solutions of this equation + workings out. Please help!!!!
Answer:
God is good, satanist are L
Answer:
0 and -6
Step-by-step explanation:
Either x=0
Or, x+6=0 i.e, x= -6
Given f(x) = (x − 1)(x + 2)(x − 3), what are the zeros and end behavior of the function? −1, 2, −3; continues downward to the left and upward to the right −1, 2, −3; continues upward to the left and downward to the right 1, −2, 3; continues downward to the left and upward to the right 1, −2, 3; continues upward to the left and downward to the right.
A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.
Function : -
A function assigns the value of each element of one set to the other specific element of another set.
Zeroes of a function: -The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph.
Now, According t the question:
Given that, f(x) = (x - 1)(x + 2)(x − 3)
Therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.
Hence, the zeroes of the functions are -2, 1, and 3.
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find five consecutive of integers if the um of the first three integers is 3 more than the sum of the last two.
Answer: 4,5,6,7,8
Step-by-step explanation:
Let the first integer be A; then the five consecutive integers are A, A+1, A+2, A+3, and A+4.
If the sum of the first three equals the sum of the last two, then A + (A+1) + (A+2) = (A+3) + (A+4)
Combining, 3A + 3 = 2A + 7 … A =4
The five Integers are thus 4, 5, 6, 7, and 8
Write the following fractions in ascending order
3/4
1/2
5/8
Answer:
5/8, 3/4, 1/2
Step-by-step explanation:
divide each and find out which one is the smallest to biggest :)
determine the domain and range of the function.
Answer:
Domain: {-1,0,1,4}
Range: {3,5,35}
Step-by-step explanation:
The domain is the set of x values while range is the set of y values
Here, the set of x values would be -1 , 0 , 1 and 4
And the y values would be 5, 3, 5, and 35
When writing the domain and range, you put the values into brackets "{}" and put them in order from least to greatest. Also if there are repeated values you do not repeat them, you only put them once.
This means that the domain would be {-1,0,1,4}
And the range would be {3,5,35}
¿Cuál es la ecuación de la línea que pasa a través de los puntos A (1,2) y B (4,3)
Answer:
Step-by-step explanation:
(4-3)/(2-1= 1/1 = slope = 1
y =(1)x + b, plug in either point to solve for b
3 = 1 +b
b = 2
In AEFG, f= 1.5 inches, 10th of an inch.
In a certain city, the percent of children under
18
year of age who lived with both parent wa
49. 2
%
,
the percent of children under 18 year of age who lived only with their father wa
8. 0
%
,
and the percent of children under
18
year of age who lived with neither parent wa
3. 5
%. What wa the percent of children under
18
year of age who lived with their mother only?
As per given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.
As given in the question,
Let us consider 100% be the total percent representing the living status of children under 18 years of age
Given:
Percent of children living with both the parents = 49.2%
Percent of children living with only father = 8%
Percent of children living with neither of the parents = 3.5%
Let us consider percent of children living with only mother = x%
Required equation is:
( x + 49.2 + 8 + 3.5 )% = 100%
⇒ x + 60.7% = 100%
⇒ x = 100 - 60.7
⇒ x = 39.3%
Therefore, for the given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.
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Solve for x: 13 < -5x + 8 < 23
Answer: x∈(-3,-1)
Step-by-step explanation:
13<-5x+8<23
13-8<-5x+8-8<23-8
5<-5x<15
Divide the double inequality by 5:
1<-x<3
Multiply the double inequality by -1:
-1>x>-3
Thus, x∈(-3,-1)
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
The third degree polynomial function with zeros of −3, −1, and 4, and a y-intercept of −13 is y = -13/12 (x³ - 13x + 12)
Polynomial function:
polynomial function refers a functions of single independent variables, in which variables can occur more than once, raised to an integer power.
Given,
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
Here we need to construct a polynomial function with the stated properties and reduce all fractions to lowest terms.
The standard form for the third degree polynomial function is written as,
y = K (x + zero1) (x + zero2) (x + zero3)
Here we know the values of zeros as -3, -1 and -4.
Apply it on the general form,
y = K (x -3) (x - 1) (x + 4) ----------------------(1)
And the value of y intercept is -13 then the value of x is 0.
So, it can be written as,
-13 = K(0 - 3) (0 - 1) (0 + 4)
-13 = K (-3)(-1)(4)
-13 = K (12)
K = -13/12
Now, we have to apply these value on the equation (1), then we get,
y = -13/12 (x -3) (x - 1) (x + 4)
When we expand these, then we get the polynomial function as,
y = -13/12 (x³ - 13x + 12)
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In the diagram below, what is the relationship between the number of triangles and the perimeter?
The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.
We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".
P(1) = 14 + 5(1)
P(2) = 14 + 5(2)
P(3) = 14 + 5(3)
We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.
P(n) = 14 + 5n
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Answer:
Step-by-step explanation:
14
Select the correct answer.
Solve the following inequality for x.
-26 + 13z + 2 > 2 132
O A. X<2
X2-1
OB.
O C.
X>1
OD. x < -2
z >1 for the given inequality for x.
To solve the following inequality for x.
-26 + 13z + 2 > 2 132
Since there is no x in this I'm assuming we are looking for z
Step 1: Simplify both sides
15r - 26 > -13z + 2
Step 2: Add 13z to both sides
15r - 26 + 13z > -13z + 2 + 13z
28 - 26 > 2
Step 3: Add 26 on both sides
28 - 26 + 26 > 2 + 26
28z > 28
Step 4: Divide both sides by 28z / 28 > 28 / 28
z > 1
Hence the answer is z >1 for the given inequality for x.
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On a piece of paper, graph y = -2x - 3. Then determine which answer
matches the graph you drew.
The graph is in the image uploaded.
Given function:
y = -2x - 3
Table:
x y
-2 0
0 -2
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If M is the centroid of triangle ABC, AM = 44, CE = 54, and DM = 23 Find each missing measure
FM=
A F=
CM=
ME=
MB=
DB=
Applying the centroid theorem, the missing measures are:
FM = 22
A.F = 66
CM = 36
ME = 18
MB = 46
DB = 69
What is the Centroid Theorem?The centroid theorem states that the distance from the centroid of the triangle to the opposite vertex is equal to one-third of the length of the segment that connects the midpoint of a side of a triangle to the opposite vertex.
Given:
AM = 44, CE = 54, and DM = 23, where M is the centroid of the triangle, thus:
FM = 1/3(FA) = 1/3(AM + FM)
Substitute
FM = 1/3(44 + FM)
3FM = 44 + FM
3FM - FM = 44
2FM = 44
FM = 44/2
FM = 22
A.F = AM + FM = 44 + 22
A.F = 66
CM = 2/3(CE)
CM = 2/3(54)
CM = 36
ME = CE - CM = 54 - 36
ME = 18
MB = 2/3(DB) = 2/3(DM + MB)
MB = 2/3(23 + MB)
3MB = 2(23 + MB)
3MB = 46 + 2MB
3MB - 2MB = 46
MB = 46
DB = DM + MB = 23 + 46
DB = 69
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A meenger earn #2,640 per year and pay tax at the rate of 10k on a naira. How much tax doe he pay in a year
264 naira tax doe he pays in a year.
Amount earned per year = 2460
Rate of interest paid: 10k per naira earned
Tax paid by messenger per year :
100k = 1 naira
10k = (100/10) = 0.1 naira
Hence 0.1 naira is paid as tax on every naira earned
The total amount paid off is 2640 Naira :
Amount paid per naira * total amount earned
(0.1 * 2640) = 264 nairas.
A tax is a compulsory monetary charge or a few other sorts of levy imposed on a taxpayer (a man or woman or criminal entity) by using a governmental agency if you want to fund authorities' spending and numerous public expenses (regional, neighborhood, or countrywide), and tax compliance refers to coverage movements and character behavior geared toward making sure that taxpayers are paying the right amount of tax on the proper time and securing the right tax allowances and tax reliefs. the first known taxation passed off in historical Egypt around 3000–2800 BC. A failure to pay in a well-timed way (non-compliance), together with evasion of or resistance to taxation, is punishable by means of regulation. Taxes consist of direct or oblique taxes and may be paid in cash or as its labor equivalent.
Maximum nations have a tax system in the region, so as to pay for public, common societal, or agreed-on country-wide needs and for the capabilities of the presidency. a few levies a flat percentage rate of taxation on private annual profits, however, maximum scale taxes are modern and based on brackets of annual earnings amounts. most nations charge a tax on a character's profits as well as on corporate earnings. nations or subunits regularly additionally impose wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, use taxes, payroll taxes, duties, and/or tariffs.
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Please hurry
I only have about 77:25 remaining
Given that Phil takes 3 times as long as Meredith to complete the work . Let us take Meredith takes x hrs to complete the work, the Phil will do that work in 3x hrs . Now it is given that they together complete the work in 12hrs . So ,
[tex]\longrightarrow \dfrac{1}{x}+\dfrac{1}{3x}=\dfrac{1}{12}\\ [/tex]
[tex]\longrightarrow \dfrac{3+1}{3x}=\dfrac{1}{12} \\[/tex]
[tex]\longrightarrow \dfrac{4}{3x}=\dfrac{1}{12}\\[/tex]
[tex]\longrightarrow x =\dfrac{(4)(12)}{3}\\[/tex]
[tex]\longrightarrow x = 16\ hrs [/tex]
Hence,
Time taken by Meredith to complete the work alone= x = 16hrs Time taken by Phil to complete the work alone= 3x = 48hrsAnd we are done!
Alice, Ben and Charlie share $213
The ratio to Alice's share to Ben's share is 4:3
The ratio to Ben's share to Charlies share is 8:5
How much does Ben get?
After finding the ratio for each person, Ben will get $72
What is a Ratio?
A ratio shows the relative sizes of two or more values. Ratios can be shown in different ways:
using the ":" to separate example valuesusing the "/" to separate one value from the totalas a decimal, after dividing one value by the totalas a percentage, after dividing one value by the totalIt was given that Alice, Ben and Charlie are to share $213.
Ratio of Alice's share to Ben = 4 : 3
Ratio of Ben's share to Charlie = 8 : 5
Combining these ratios, their shared item (Ben's share) must be the same in each ratio.
Taking Alice's share to Ben, 4 : 3 and multiplying both parts by 8 to get an equivalent ratio, we have:
Alice : Ben = 4(8) : 3(8) = 32 : 24
Likewise, taking Ben's share to Charlie, 8 : 5 and multiplying both parts by 3, we have:
Ben : Charlie = 8(3) : 5(3) = 24 : 15
Combining these ratios, we have:
Alice : Ben : Charlie = 32 : 24 : 15
Adding the ratios together, we have: 32 + 24 + 15 = 71
If the money to be shared is $213, Ben's share will be:
[tex]\frac{24}{71}[/tex] × [tex]$213[/tex] = 72
Therefore, Ben will get $72 from the total amount of $213
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Ren sets aside $1,000 into an online savings account with an annual interest rate of 2. 3%, compounded annually. How long will it take for the money in his account to double? round to the nearest year.
Ren will have to wait for approximately 31 years for the money compounded annually and a rate of 2.3% to double it's original investment.
Compound InterestCompound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.
The formula of compound interest is given as
A = P(1 + r/n)^nt
A = compounded interest = $2000 (Since the investment doubled)r = rate = 2.3%n = number of times compounded = 12t = time = ?Substituting the values into the equation;
It will take approximately 31 years to double the investment.
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Which of the following is an equivalent expression of 18x2 +14x + 7?
7(18x2 + 14x)
14x + 18x2 + 7
32x3 + 7
18x2(14x + 7)
NEED HELP ASAP
GIVING 20 POINTS!!!!!!
Answer:
I believe it's 18x2(14x + 7)
Step-by-step explanation:
I took the test :)
18x² + 14x + 7 ( may be expressed in any order )
= 14x +18x² + 7
PLEASE HELP!!! WIlLL GIVE BRAINLIEST!!! QUICK!
It costs $20 for a package of 5 t-shirts or $5 for a pair of socks. Char has $120 to spend on t-shirts and socks for her club.
A. Complete the table showing three ways Char can spend $129\ purchasing packages of t-shirts and pairs of socks. Show your work.
B. Write an equation relating the number packages of t-shirts x and the number of pairs of socks y Char can buy.
Graph:
Number of T-Shirts Pairs of Socks
2 *Blank*
*Blank* 20
6 *Blank*
Answer:
Step-by-step explanation:
Hi Strawberry :D so three ways to spend $120
T= tshirts
S=socks
20T +5S= 120
20(5)+5(4) =120 one
20(4) +5(8) =120 two
20(3) +5(12) = 120 three
20x +5y =120
a fair die with its faces numbered from 1 to 6 will be rolled. which of the following is the best interpretation of the probability that the number landing face up will be less than 3 ?
When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.
The probability measures how likely an event to occur. The probability of an event A is defined as:
P(A) = number of ways that event A can occur / all possible outcomes
In the given problem, let x be any number of die's face, then
number of ways x will show up = 1
all possible outcomes = 6
Hence,
P(x) = 1/6
Numbers that are less than 3 is 1 and 3. Therefore,
P (x<3) = P(1) + P(2)
P (x<3) = 1/6 + 1/6 = 2/6 = 1/3
Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3
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What is the equation for the line of reflection?
Answer:
The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b
Find the sale price of each item. Round to two decimal places when necessary.
Original price: $45.00; Markdown: 22%
Answer:
$35.10
Step-by-step explanation:
45 x 0.22= 9.9
45-9.90= 35.10