Answer: Se pueden hacer 196,830,000 placas distintas.
Step-by-step explanation:
Cada placa va a tener 3 letras y 4 números.
Lo primero que tenemos que hacer es contar el numero de opciones que tenemos para cada selección, donde las selecciones van a ser.
Primera letra, segunda letra, tercera letra, primer numero, etcétera.
Entonces.
Para la primera letra tenemos 27 opciones.
Para la segunda letra también tenemos 27 opciones.
Para la tercera letra también tenemos 27 opciones.
Para el primer numero tenemos 10 opciones (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
para el segundo numero también hay 10 opciones.
Para el tercer numero también hay 10 opciones.
Para el cuarto numero también hay 10 opciones.
El numero total de posibles combinaciones va a ser igual al producto de todos los números de opciones, en este caso es:
C = 27*27*27*10*10*10*10 = 27^3*10^4 = 196,830,000
Se pueden hacer 196,830,000 placas distintas.
The Table Shows The Number Of Rows Of Bricks A Worker Can Lay In Different Numbers Of Hours
Number Of Hours.
4
6
8
10
Number Of Rows
12
18
24
30
How Many Bricks Can The Worker Lay Each Hour?
A 2
B 3
C 6
D 9
please help????????
Answer:
k=140
Step-by-step explanation:
64+76=140
180-140=40
180-40=140
what’s the slope?
the line has the given equation y+7=3/5(x-4)
Answer:
Slope 3/5
Step-by-step explanation:
y=3/5x-47/5
Please solve this question.
Answer:
An equilateral triangle is formed.
Step-by-step explanation:
Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.
Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].
Therefore, a triangle with all angles at 60° is an equilateral triangle.
Hope this helped!
Identify the rule relating each term in the following sequence: 8, - 4, 2 - 1, 1/2, 1/4, 1/8
A: Divide by 2
B: Divide by -2
C: Multiply by -2
D: Multiply by 2
Answer:
B: Divide by -2
Step-by-step explanation:
The only logical conclusion would be divide by -2, though that may not be the entire correct answer. Why?
Firstly, the sequence of 8, -4, 2, -1 only follows division by -2. Division by 2 would result in 8, 4, 2 and 1, multiplication by -2 would result in 8, -16, 32, -64, and multiplication by 2 would result in 8, 16, 32 and 64. Hence, the only logical conclusion would be division by -2.
However, this rule breaks down as we go into the fractions. -1 / -2 is 1/2, sure, but (1/2) / -2 should be - 1/4, and not 1/4. Hence, as we go into the fractions, the rule should have changed to division by 2 instead.
The only solution to unite the whole sequence would be to correct 1/4 to -1/4, and maybe OP should check whether that is the case.
Hope this helped!
Answer:
b. divided by -2
Step-by-step explanation:
A salesperson works 40 hours per week at a job where she has two options for being paid. Option
A is an hourly wage of $22. Option B is a commission rate of 10% on weekly sales. How much
does she need to sell this week to earn the same amount with the two options?
Answer:
the weekly sales are $8,800 to earn the similar amount with the two options
Step-by-step explanation:
The computation is shown below:
The earnings in option A is
= 40 hours × $22
= $880
Now let us assume the weekly sales be x
So the equation would be
10%x = $880
0.10x = $880
x = $8,800
Hence, the weekly sales are $8,800 to earn a similar amount with the two options
A medication contains 5 milligrams/milliliter, and a patient is taking 1 teaspoon of it 3 times daily. How many milligrams of medication is the patient receiving per day?
options:
5 milligrams
7.5 milligrams
75 milligrams
100 milligrams
Answer:
Answer: 75 milligrams
Step-by-step explanation:
The medication contains 5 milligrams/milliliter.
The patient is given 1 teaspoon of the medication 3 times a day. Since 1 teaspoon is approximately equal to 5 milliliters, then the patient takes 3*5 = 15 milliliters of the medication per day.
Each milliliter contains 5 milligrams, thus the patient receives 15*5 = 75 milligrams of medication per day.
Answer: 75 milligrams
What two points are contained in the graph of y = log9 (x)?
O (1,0) and (9, 1)
O(0,1) and (1, 9)
O (1,0) and (9, 0)
O (1,0) and (9, 9)
Answer:
the first choice
Step-by-step explanation:
(1,0) and (9,1)
The graph of a function f is the set of all points (x,f(x)). Any point on the graph satisfy the equation of the graph. To check whether a point lie on a graph we need to put the x value and y value of the point to the equation of the graph and check the LHS and RHS . If LHS is equal to RHS , then this point lie on the graph.
The given equation of graph is y=log₉(x) ...........(i)
Now we check whether the points (1,0) and (9, 1) lie on (i).Putting both the points on the LHS and RHS of (i) we get
For point (1,0) , LHS = 0 and RHS = log₉(1)=0
Therefore LHS=RHS for the point (1,0).
For point (9,1), LHS= 1 and RHS= log₉(9)=1
Therefore LHS=RHS for the point (9,1).
Therefore (1,0) and (9,1) lie on graph of equation (i).
Check whether the points (0,1) and (1, 9) lie on (i).Putting both the points on the LHS and RHS of (i) we get
For point (0,1), LHS=1 and RHS=log₉(0) is undefined
Therefore LHS≠RHS for the point (0,1).
For point (1,9), LHS= 9 and RHS= log₉(1)=0.
Therefore LHS≠RHS for the point (1,9).
Therefore (0,1) and (1,9) does not lie on graph of equation (i).
Check whether the points (1,0) and (9,0) lie on (i).Putting both the points on the LHS and RHS of (i) we get
For point (1,0), LHS=0 and RHS=log₉(1)=0.
Therefore LHS=RHS for the point (1,0).
For point (9,0), LHS= 0 and RHS= log₉(9)=1.
Therefore LHS≠RHS for the point (9,0).
Therefore (1,0) lie on (i) but 9,0) does not lie on graph of equation (i).
Check whether the points (1,0) and (9,9) lie on (i).Putting both the points on the LHS and RHS of (i) we get
For point (1,0), LHS=0 and RHS=log₉(1)=0
Therefore LHS=RHS for the point (1,0).
For point (9,9), LHS= 9 and RHS= log₉(9)=1.
Therefore, LHS≠RHS for point(9,9).
Therefore (1,0) lie on (i) but 9,9) does not lie on graph of equation (i)
Hence, the points (1,0) and (9,1) lie on the graph of y=log₉(x).
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Let the daily rate of each associate, A = $700
And the daily rate of each partner, P = $1700
Let the total number of individuals involved in the case = NT
Total number of partners = NP
Total number of associates = NA
NP + NA = NT -------- (i)
From the question; NP - NA = 4 -------- (ii)
From (i), NA = NT - NP
Substitute in (ii) as: NP - (NT - NP) = 4
Therefore, 2NP - NT = 4.
And NP = 2 + (NT/2) --------- (iii)
Substitute for NP in (i) above: NT = NA + 2 + (NT/2)
Therefore, NT - (NT/2) - 2 = NA.
NA = (NT/2) - 2 ---------- (iv)
Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.
Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)
To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.
Solve for NT and then use the value to find NP and NA.
NT = 16
NP = 10
NA = 6
Notice that 10 - 6 = 4. Q.E.D
Hope this helps.
Answer:
p=a+4
Step-by-step explain:
Let a=the number of associates designated
let p=the number of partners designated
Write System of Equations:
700a+1700p=21200
Please help! I’ll give brainlest. Idk the answer bruh it’s for a grade :/
Which scenario could be represented by this graph?
A. After realizing that the house is cold Harry turns up the thermostat the temperature of the house gradually increases at constant rate the x-axis represents time the y-axis represents temperature
B. After realizing the house is too warm Harry turns on the air conditioner the temperature of the house gradually decreases at constant rate the x-axis represents time the y-axis represents temperature
C. The house temperature rises until it reaches the thermostat temperature and then it remains constant the x-axis represents time the y-axis represents the temperature
D. Harry runs the window air conditioner until the temperature falls to a comfortable level the x-axis represents time the y-axis represents temperature
Answer:
A
Step-by-step explanation:
Process of elimination.
It can't be B or D cause those say that the temp go down while in your graph it goes up, and C is saying that it rises and becomes constant while in your graph it's the other way around.
Answer:
A.
Step-by-step explanation:
I said so
image here hard 10th grade math
What is the solution to this system of equations?
2x-5y=-3
y=16-4x
Answer:
2x-5y=-3
Slope= 2.000 /0.800
x-intercept=-3/2=-1.50000
y-intercept=3/5=0.60000
y=16-4x
Slope=-8.0000/2.0000=-4.000
x-intercept=16/4=4
y-intercept=6/1=16.00000
Step-by-step explanation:
Yoda Soda is the intergalactic party drink that will have all your friends saying, "Mmmmmm, good this is!"
You are throwing a party, and you need 555 liters of Yoda Soda for every 121212 guests.
If you have 363636 guests, how many liters of Yoda Soda do you need?
liters
Answer:
15 litres
Step-by-step explanation:
Given
5 litres = 12 guests
Required
Determine the number of litres for 36 guests
Represent the required number of litres with L.
So, we have the following relationship:
[tex]5\ litres = 12\ guests[/tex]
[tex]L = 36\ guests[/tex]
Cross Multiply
[tex]L * 12\ guests = 5\ litres * 36\ guests[/tex]
[tex]L * 12= 5\ litres * 36[/tex]
[tex]12L = 180\ litres[/tex]
Solve for L
[tex]L = \frac{180\ litres}{12}[/tex]
[tex]L =15\ litres[/tex]
Hence, 15 litres are needed
Shara and her brother have n dollars to spend at the school carnival . They each spend more than 6 dollars . Create an inequality to represent the total number of dollars ,n, shara and her brother spent at the carnival
Which of these describes the function graphed below? PLSSSSSSS help
Answer:
it's B
Step-by-step explanation:
i got right on my assessment and because if you look closer when X is in the negative side the line is straight but when the line increases and the x is in the positive side it's curved
when x<0 the graph is linear and when x>0 then the graph is non- linear.
What is linear and non linearity in a graph?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a variable slope value and resembles a graphed curve.
Given:
We have the graph
From the graph we can see that when x<0 then there linearity or proportionality between x and y.
and, when x>0 then the graph is not a line it is turned out in a curve, which is not linear.
Hence, when x<0 the graph is linear and when x>0 then the graph is non- linear.
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how many diggers where there when 50 were outside and 3 were in
What is 20% of 680????
Answer:
136
Step-by-step explanation:
20% * 680
Cheers! :)
The owner of a large fast food chain is considering whether to re-open the dining rooms of his restaurants now that it is legal in the state of Georgia. He is interested to know what percentage of his employees support the re-opening, so he decides to conduct a survey. (a) Which of the following plans would be more likely to produce a sample statistic very close to the true percentage who support re-opening? A simple random sample of 34 employees A simple random sample of 340 employees Both plans are equally likely to get this result, since they are both random samples. (b) He thinks it would be easier to sample employees by randomly selecting franchise locations (individual restaurants) and asking managers to administer surveys to all the workers at the selected restaurants, what kind of sampling method should he use? a) Cluster sample b) Systematic sample c) Convenience sample d) Stratified sample
Answer:
a) A simple random sample of 340 employees
b) a) Cluster sample
Step-by-step explanation:
a) Remember, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.
Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.
b) A cluster sample is best used in this case because it involves dividing the population into several clusters or groups, then the researcher randomly selects a particular cluster or group in other collect research data for analysis.
Whereas in this case, the randomly selected clusters are the different (individual restaurant) franchise locations.
Solve by using the substitution method 3x + y = 13 5x - 2y= 18
Find the Hcmof 40 and 60
Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 packs, how much will he pay?
Answer:
$30
Step-by-step explanation:
he will pay $30.00 for 9 packs.
A tablet that regularly sells for $330 was on sale for 15% off. If Jeremiah paid $302.94 total including tax, what is the sales tax
Answer:
8% sales tax
Step-by-step explanation:
$330 x .15 = $49.50
$330 - $49.50 = $280.50
$302.94 - $280.50 = $22.44
$22.44/$280.50 = .08 x 100 x 8%
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upper F left-parenthesis 0 right-parenthesis equals 5. Find the value of Upper F left-parenthesis b right-parenthesis for b equals 0 comma 0.1 comma 0.2 comma 0.5 comma and 2.0.
It looks like you're given
F'(x) = 3x² + 7
and
F (0) = 5
and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.
The first is done for you, F (0) = 5.
For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:
[tex]F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt[/tex]
[tex]F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt[/tex]
[tex]F(x)=5+(t^3+7t)\bigg|_0^x[/tex]
[tex]F(x)=5+x^3+7x[/tex]
Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.
On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is
F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x
Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.
A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).
Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have
x₁ = x₀ + 0.1 = 0.1
y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0) → F (0.1) ≈ 5.7
x₂ = x₁ + 0.1 = 0.2
y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1) → F (0.2) ≈ 6.403
x₃ = x₂ + 0.3 = 0.5
y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2) → F (0.5) ≈ 8.539
x₄ = x₃ + 1.5 = 2.0
y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5) → F (2.0) ≈ 20.164
Type the correct answer in each box
Answer:
(-1,0) these two points have the same x-value
(x,y)
Step-by-step explanation:
Sale
65% OFF!
What is the sale price of a grandfather clock originally priced at $120?
Answer:
the sale price is 42
Step-by-step explanation:
120-65% = 42
please help me! plssssss
Answer:
1 hour and 15 minuets
Step-by-step explanation:
5 hours and he was hedging for 25% of that time.
25%=.25
5(0.25)
1.25
A quarter of an hour is 15 minutes.
So the final answer would be 1 hour and 15 minuets.
what is the value of the expression (36 1/2)^2
(a)
Percentage of girls in the school.
(c)
There are 1400 students in a school out of which 780 are girls, find the,
Number of boys in the school.
(b) Percentage of boys in the school.
Answer:
(a) Percentage of girls = 55[tex]\frac{5}{7}[/tex]
(b) Percentage of boys = 44[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
To find percentage, we multiply the fraction out of the total by 100%.
Percentage of girls = [tex]\frac{780}{1400}[/tex] × 100%
= 55[tex]\frac{5}{7}[/tex]
Percentage of boys = [tex]\frac{1400-780}{1400}[/tex] × 100%
= 44[tex]\frac{2}{7}[/tex]
I need help with this question can anyone help ?
Answer:
m < 1 = 72
Step-by-step explanation:
Since we know that line l and line m are parallel and that p is one of their transversals, it sets up a situation where we can identify which angles are congruent (equal) to one another according to their positions.
In this case, we can see that < 3 and < 1 are in the same matching corners created by the transversal. When angles are in the same matching corners they are called corresponding angles - and according to the Corresponding Angles Postulate, corresponding angles are congruent.
Therefore, m < 3 = m < 1, and since it's given that m < 3 = 72, we know that m < 1 = 72 too.
