Answer: (c) Census
Step-by-step explanation:
Definition - an official count or survey of a population, typically recording various details of individuals.
Given f(x) = x^2 – 3x – 2, what is f(5)?
Answer:
\(f(5)=8\)
Step-by-step explanation:
Given function: \(f(x)=x^2-3x-2\)
To find \(f(5)\), simply input \(x=5\) into the function:
\(\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}\)
\(\huge\color{white}\boxed{\colorbox{Black}{♔︎Answer♔︎}}\)
To find :-The value of f(5)
Given :-f(x) = x² - 3x - 2
Solution :-f(x) = x² - 3x - 2
we will put the value of x as 5
so that to find f(5).
f(5) = (5)² - 3×5 - 2
f(5) = 25 - 15 - 2
f(5) = 8
Result :-The value of f(5) is 8.
find the area of the blue shaded shape
Answer:
Hey there!
The big square has an area of 6x6 or 36 units.
However, we subtract 8 to get 28 because the 8 white squares do not count.
Let me know if this helps :)
Answer:
28units²
Step-by-step explanation:
6² = 36
36 - 8 = 28
find the slope of the line that passes through (10,4) and (7,9)
I will take you the steps to obtain the slopes passing two points
step 1 : list the parameters
\(\begin{gathered} \text{from (10, 4)} \\ x_1=10,y_1=\text{ 4} \\ \text{from (7,9)} \\ x_2_{}=7,y_2=\text{ 9} \end{gathered}\)step 2: Apply the equation to obtain the slope between two points
\(\begin{gathered} \text{slope = }\frac{rise}{fall}=\frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow\frac{9\text{ - 4}}{7\text{ - 10}}\text{ =}\frac{5}{-3} \\ \\ slope=-\frac{5}{3} \end{gathered}\)Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $25. For
there were 60 tickets sold in all, and the total amount paid for them was $ 1625. How many tickets of each type were sold?
performance,
X
Number of advance tickets sold:
Number of same-day tickets sold: I
6
?
The number of advance tickets sold is 25 and same day tickets sold is 30.
Data Given;
Advance Ticket = $30Same-day Ticket = $25Total Ticket = $60Total Cost of Ticket = $1625System of EquationsLet the number of advance ticket be represented by x
Let the number of same-day ticket be represented by y
\(x + y = 60\\ 30x + 25y = 1625\)
From the system of equations above, we can easily pick any to start our calculation.
Using equation (i),
x + y = 60
x = 60 - y ...equation(iii)
Put equation (iii) into equation (ii)
\(30x + 25y = 1625\\ x = 60 - y\\ 30(60 - y) + 25y = 1625\\ 1800 - 30y + 25y = 1625\\ 1800 -5y = 1625\\ 5y = 1800 - 1625\\ 5y = 175\\ 5y/5 = 175/5\\ y = 35\)
Put the value of y into equation (i)
\(x+y = 60\\ x + 35 = 60\\ x = 60 - 35\\ x = 25\)
From the calculation above, the number of advance tickets sold is 25 and same-day tickets is 30.
Learn more on system of equations here;
https://brainly.com/question/13729904
The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
Learn more about lower and upper limits here:https://brainly.com/question/16793431
#SPJ1
Describe the location of the polnt having the following coordinates. abscissa and ordinate have the same sign
Quadrant II or Quadrant IV
Quadrant II or Quadrant III
Quadrant or Quadrant IV
Quadrant I or Quadrant III
Answer:
i think its D
Step-by-step explanation:
hope this helps!
In a network of 30 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 9 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (Round to four decimal places.)
The probability that all 4 computers with the critical file fail in this incident is given as follows:
0.0046 = 0.46%.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The values of these parameters for this problem are given as follows:
N = 30, k = 4, n = 9.
The probability that all fail is P(X = 4), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 4) = h(4,30,9,4) = \frac{C_{4,4}C_{26,5}}{C_{30,9}} = 0.0046\)
More can be learned about the hypergeometric distribution at https://brainly.com/question/14741653
#SPJ1
Harper is starting a printing business. She purchases plain t-shirts for $5 dollars each and spends $150 for printing equipment She decides to sell printed shirts for $10 each. How many t-shirts does Harper need to sell so that the amount of money she spends to start her business and the amount of money she earns are the same.
Answer:
30
Step-by-step explanation:
150/5 = 30
30+30+30+30+30 = 150
Find the length of the arc.
A. 539π/12 km
B. 9π/3 km
C. 9π/2 km
D. 18π km
Answer:
b because it is I found out cus I took test
The length of the arc 9π/2 km.
The answer is option C.9π/2 km.
What is the arc of the circle?
The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
⇒angle= arc/radius
⇒ 135°=arc/6km
⇒ arc =135°*6km
⇒arc=135°*π/180° * 6km
⇒arc = 9π/2 km
Learn more about circle here:-https://brainly.com/question/24375372
#SPJ2
angle measure of 36 and 57?
Answer: 7767788877787887+-77-7
Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien
Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.
Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).
Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.
Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.
Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
Learn more about cylinders at:
https://brainly.com/question/9554871
#SPJ1
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
If a = 4, what is the value of (-a - 5)²?
-81
-1
20
81
Answer:
81
Step-by-step explanation:
\(( - 4 - 5) ^{2} = ( - 9) ^{2} = 81\)
To force floating-point output to show the decimal point and trailing zeros, use the ________ manipulator.
To force the output to show the decimal point and trailing zeros of a decimal number use the showpoint, manipulator.
The showpoint function is a manipulator that sets the show point flag, which instructs an output stream to write a decimal point for floating-point output, even if the point is superfluous. This is done by setting the showpoint flag, which is done by setting the show point flag (only zeros appear after the decimal point). More specifically, the calls to the functions.
The distinction between a whole number and the fractional component of a number is denoted by the use of a symbol known as a "decimal point," which can be either a point or a dot. A different name for it is the Decimal Mark. The representation of the decimal point is the (.). In addition to using whole numbers, we frequently work with decimals.
Want to know more about the showpoint, manipulator visit the link which is given below;
https://brainly.com/question/14774591
#SPJ4
THIS IS URGENT
A line includes the points (2,10) and (9,5). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
Step-by-step explanation:
y = 13x -12
All of the following are equivalent except
O 4y
O (4)
04.y
O 4+ y
Answer:
I think it's 4y
Step-by-step explanation:
I think it's 4y is because if y = 0 they all work but 4y which is 0 while all the others are 4
PLS HELP I WILL GIVE BRAINLYEST!!!
Explanation:
Make a graph with interval -2 ≤ x ≤ 2
Then graph the function: f(x) = x + 3
Table:
\(\begin{array}{| c | c | }\cline{1-2} \sf x & \sf y \\\cline{1-2} -2 & 1 \\\cline{1-2} -1 & 2 \\\cline{1-2} 0 & 3 \\\cline{1-2} 1 & 4 \\\cline{1-2} 2 & 5 \\\cline{1-2}\end{array}\)
Plot these coordinates and draw a smooth line through these coordinates.
A complex shape combined frim a square and rectangle b=6, c=8, and d=12 what is the area of this complex figure?
The area of the complex figure is 132 square units
How to determine the area
From the information given, we have that the composite shape is a combination of a:
SquareRectangleThe formula for area of a square is given as:
Area = a ²
Where 'a' is the length of it side
Area = 6²
Area of square = 36 square units
The formula for area of a rectangle is given as:
Area = width × length
Area = 8 × 12
Area of rectangle = 96 square units
Area of the complex figure = Area of square + area of rectangle
= 36 + 96
= 132 square units
Thus, the area of the complex figure is 132 square units
Learn more about area here:
https://brainly.com/question/25292087
#SPJ1
Find the area of the following trapezoid. 5 7 14
Answer:
84
Step-by-step explanation:
5+7 times 14 divided by 2 i think there's no pic
Answer:
Welp, you didn't provide a picture so I'll go with every choice.
Step-by-step explanation:
If the two bases are 5 and 7, and the height is 14, then the area is 84.
If the two bases are 5 and 14, and the height is 7, then the area is 66.5.
If the two bases are 7 and 14, and the height is 5, then the area is 52.5.
The formula for the area of a trapezoid is : (a+b)/2 * h
2 Write the first five terms in each sequence.
Th
The first term is 8
Each term is 5 more than the previous one.
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
Write an equation that represents the line.
Use exact numbers.
Step-by-step explanation:
at 2=-2
at -3= -6
\(y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b\)
\( - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8\)
\( - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6\)
\(y = 0.8x - 3.6\)
Please help me thank you I appreciate it
Answer:
68°
Step-by-step explanation:
PRQ = SRQ gives:
3x-8 = 2x+6
x = 6+8 = 14
So PRQ = SRQ = 34
and
PRS = PRQ+SRQ = 68
Data representing the price and quantity demanded for hand-held electronic organizers were analyzed every day for 15 days. The logarithmic function of best fit to the data was found to be y= 398-73 lnx. Use this to predict the number of hand-held electronic organizers that would be demanded if the price were $275. Round to the nearest whole number.
a. 6 electronic organizers
b. 5 electronic organizers
c. 4 electronic organizers
d. 7 electronic organizers
Answer:
\(x=5\)
Step-by-step explanation:
From the question we are told that
The logarithmic function \(y= 398-73 lnx\)
Price p= $275
Generally we solve mathematically for the equation \(y= 398-73 lnx\)
\(y= 398-73 lnx\)
\(275= 398-73 lnx\)
\(73 lnx=123\)
\(lnx=\frac{123}{73}\)
Therefore
\(x=e^(^\frac{123}{73}^)\)
\(x=5.4\)
Nearest whole number
\(x=5\)
The number of required hand-held electric organizers would be 5, option b. Understand the step-by-step calculations below.
Logarithm:The logarithm is an exponent or power to which a base must be raised to obtain a given number.
Mathematically, logarithms are expressed as, m is the logarithm of n to the base b if \(bm = n\), which can also be written as \(m = log_nb\).
Given function is,
\(y=398-73 lnx\)
Also, the cost is $275 then from the given equation,
\(398-73 lnx=275\)
Now, solving the above equation we get,
\(398-73 lnx=275\\73ln=398-275\\lnx=\frac{123}{73}\)
Now, shifting the algorithm into another side we get the exponential equation as,
\(\\x=e^{\frac{123}{73} }\\x=5.39\\x\approx5\)
Learn more about the topic Logarithm here:
https://brainly.com/question/26503564
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
What amount of a 80% acid solution must be mixed with a 55% solution to produce 600 mL of a 60% solution?
Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.
The equation can be set up as follows:
0.80x + 0.55(600 - x) = 0.60(600)
Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.
By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.
Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.
Let x=amount of 80% solution needed
Then 600-x=amount of 30% solution needed
Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:
0.80x+0.30(600-x)=0.40*600 get rid of parens
0.80x+180-0.30x=240 subtract 180 from each side
0.80x+180-180-0.30x=240-180 collect like terms
0.50x=60 divide each side by 0.50
x=120 ml---------------------amount of 80% solution needed
600-x=600-120=480 ml---------------amount of 30% solution needed
CK
120*0.80+480*0.30=0.40*600
96+144=240
240=240
What is an equation of the line that passes through the points (0, -2) and (6,6)
Answer:
y= 4/3x -2 or y=1\(\frac{1}{3}\) -2
Step-by-step explanation:
Given: tangent to Circle O.
If m = 140°, then A =
The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Join the points B and O and then join points D and O
Angle A = (1/2)Angle BOD
Angle B = 140 degrees
Angle A = (1/2)140 degrees
Angle A = 70 degrees
Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
The lines of the equations are parallel, perpendicular, or neither.
y=-x +3
y=-x-3
O parallel
O perpendicular
O neither
Answer:
Parallel
Step-by-step explanation:
The have equal slopes