Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
Please help thank you
I’m need this worked out step by step by tonight
9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
_____
Additional comment
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
__
For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?
The number of groups that can be chosen from the team of 17 depends on
the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.Reasons:
The combination of n objects taking r at a time is given as follows
[tex]_nC_r = \dbinom{n}{r}[/tex]
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]
[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]
[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]
[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]
(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]
[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
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what is the product of -3 and +50
Answer:
the product of -3 and +50 is -150
(-3)×+(50)=-150
Answer:
-150Step-by-step explanation:
-3 × 50 =
-150
Calculate the area of the shape below. Give your answer in cm².
Answer:
area of the shape below is
53cm^2
.......
Which is the missing factor that makes the equation true?
___ 1.1 = 0.22
A.0.02
B.0.2
C.2
D.20
The missing factor that makes the equation true is 0.2.
According to the question;
We are required to determine the missing factor that makes the equation ___ 1.1 = 0.22 true.Let the missing factor be represented as x.
x × 1.1 = 0.22In essence; by dividing both sides of the equation by 1.1; we have;
x = 0.22/1.1x = 0.2Read more:
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I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
w= 8/7
Step-by-step explanation:
1. divide the numbers
[tex]12w-1*10=6-2w[/tex]
2. multiply the numbers
[tex]12-10=6-2w[/tex]
3. rearrange terms
[tex]12-10=-2w+6[/tex]
4. add 10 to both sides of the equation
[tex]12w-10+1-=-2w+6+10[/tex]
5. simplify
[tex]12w=-2w+16[/tex]
6. add 2w to both sides of the equation
[tex]12w+2w=-2w+16+2w[/tex]
7. simplify
[tex]14w=16[/tex]
8.divide both sides of the equation by the same term
14w/14 = 16/14
9. simplify
w = 8/7
Answer:
[tex]w = 2[/tex]
Step-by-step explanation:
[tex] \frac{(12w - 20)}{2} = 6 - 2w[/tex]
[tex]6w + \frac{ - 20}{2} = 6 - 2w[/tex]
[tex]6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w[/tex]
[tex]6w + 10 = 6 - 2w[/tex]
[tex]6w - 10 + 2w = 6 - 2w + 2w[/tex]
[tex]6w + 2w - 10 = 6 - 2w + 2w[/tex]
[tex]8w - 10 = 6 - 2w + 2w[/tex]
[tex]8w - 10 = - 2w + 2w + 6[/tex]
[tex]8w - 10 = 6[/tex]
[tex]8w - 10 + 10 = 6 + 10[/tex]
[tex]8w = 6 + 10[/tex]
[tex]8w = 16[/tex]
[tex] \frac{8w}{8} = \frac{16}{8} [/tex]
[tex]w = \frac{16}{8} [/tex]
[tex]w = \frac{2.8}{1.8} [/tex]
[tex]w = 2[/tex]
[tex]Thank \: you!!![/tex]
Evaluate 8r-rs when r=6 and s=5 ?
Solve: multiplying decimals with powers of 10, complete this and get brainliest
Answer:
1. 79,210
2. 6,231
3. 23.4
Step-by-step explanation:
1. 7.921 * 10^4
10 ^ 4 = 10000
move the decimal point four places to the right
= 79,210
2. 6.231 * 10^3
10 ^ 3 is 1000
move the decimal point three places to the right
6,231
3. 0.234 * 10^2
10 ^ 2 is 100
move the decimal two places to the right
23.4
Please help me with this.
Answer:
12.4
Step-by-step explanation:
do 9x11 (the cross)
then divide that by 8, so 99/8
that equals 12.375 which rounded to the nearest tenth is 12.4
-2/5x12 equivalent expressions
Answer:
-4.8
Step-by-step explanation:
so you * Good Times by 5 and each time you do by 12
Identify the angles that each have a measure of 60\degree
Answer:
parrelel
Step-by-step explanation:
Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, vendió 20 a 22000 colones cada uno. Si desea obtener una ganancia de 200 000 colones debe vender cada uno de los restantes novillos en 2000 más que el precio en que los compro. ¿Cuántos novillos compro y cuanto le costó cada uno?
Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.
Encontramos que las soluciones son:
Precio = 12,820.5 colones.Número = 112La información que tenemos es:
El comerciante compro un dado número de novillos, digamos N.
El precio total fue de 1,440,000 colones.
Entonces si el precio de cada novillo es P, tenemos que:
N*P = 1,440,000
Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:
20*22,000 colones = 440,000 colones.
Es decir, de momento se tiene una perdida de:
1,440,000 - 440,000 = 1,000,000 colones.
Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.
De esto planteamos la ecuación:
(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.
Entonces tenemos el sistema de ecuaciones:
N*P = 1,440,000
(N - 20)*(P + 2,000) = 1,200,000
Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N
N = (1,440,000)/P
Ahora reemplazamos esto en la otra ecuación:
(N - 20)*(P + 2,000) = 1,200,000
( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000
Ahora debemos resolver esto para P.
1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000
- 20*P + 2,000*(1,440,000)/P = -180,000
Multiplicando ambos lados por P, obtenemos:
-20*P^2 + 2,880,000,000 = -180,000*P
Reescribimos esto como una ecuación cuadratica:
-20*P^2 + 2,880,000,000 + 180,000*P = 0
Y podemos resolver esto usando la formula de Bhaskara.
[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]
Solo nos interesa la solución positiva, que es:
[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]
Es decir, cada novillo le costó 12,820.5 colones.
y sabemos que:
N = 1,440,000/P = 1,440,000/12,820.5 = 112.3
Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).
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I don't get it please help and show me how to do it
Answer:
Step-by-step explanation:
You plug in the given values and compute s:
s = ut + 1/2 at^2
s = 10*1/2 + 1/2*-2*(1/2)^2
= 5 + -1*1/4
= 4 3/4.
An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?
Hey may someone please help me<4! I’ll greatly appreciate it
Answer:
1st figure out how many feet in 1 yard
Then you can take that number <x>
X x 5
Step-by-step explanation:
Answer:
1.67 yards or 5/3
Step-by-step explanation:
I just looked it up
Hey can someone help please hurry it’s important
[tex]\large\underline{\sf{Solution-}}[/tex]
Given info:
6885 ÷ 46
Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.
Let's solve!!
[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]
[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]
[tex] \sf{Now,} \\ [/tex]
[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]
[tex] \sf = 46 \times 149 + 31 \\ [/tex]
[tex] \sf = 6854 + 31 \\ [/tex]
[tex] \sf{ = 6885} \\ [/tex]
[tex] \sf = \red{ Dividend}. \\ [/tex]
A carpenter has already shingled 10 garage roofs and is shingling roots at a constant rate of 9 per day
Write an eguation that models the number of garage roofs, 1, after t days,
an
ok
The equation that models the given situation is?
The equation that models the situation is f(t) = 10 + 9t.
The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.
He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.
let
f(t) = number of garage roofs the carpenter shingles
t = time in days.
If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.
To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:
f(t) = 10 + 9tread more: https://brainly.com/question/22965839?referrer=searchResults
What ratio is equivalent to 9:6 ?
12:8
7:4
3:1
15:10
Answer:
15:10
Step-by-step explanation:
15:10 can be reduced into 3:2 by dividing with 5
and 9:6 can be reduced to 3:2 by dividing with 3
keep smiling.
Answer:
D
Step-by-step explanation:
just got in edg 2021
Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.
9514 1404 393
Answer:
a) see attached for the drawings
b) p = 8n -4
c) a(n) = 4n(n -3) +13 for n > 1; a(1) = 1
d) none
Step-by-step explanation:
a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.
__
b) The sequence of perimeter values is ...
4, 12, 20, 28, 36, ...
This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...
p = 8n -4
__
c) The sequence of area values is ...
1, 5, 13, 29, 53, ...
The first differences are ...
4, 8, 16, 24, ...
and the second differences are ...
4, 8, 8, ...
At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.
The function describing the sequence must be defined in two parts:
[tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]
__
d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.
_____
Additional comment
The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.
midpoint of (-1, -1, and (-11,10)
Answer:
(-6, 4.5)
Step-by-step explanation:
Answer:
ki
Step-by-step explanation:
Simplify the following:
Show all steps.
[tex]\sqrt{108} x^{2} y^{3} -\sqrt{12} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]
Answer:
[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)
Step-by-step explanation:
6[tex]\sqrt{3} x^{2} y^{3} - 2\sqrt{3} x^{2} y^{3} + x \sqrt{75} y^{3}[/tex] simplify
4[tex]\sqrt{3} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex] collect like terms
[tex]\sqrt{3} xy^{3}[/tex]×(4x+[tex]\sqrt{25}[/tex]) factored out [tex]\sqrt{3} x y^{3}[/tex]
[tex]\sqrt{3} xy^{3}[/tex]×(4x+5) simplify
Compare the decimal numbers 0.218 and 0.128.
0.128 = 0.218
0.218 < 0.128
0.128 > 0.218
0.218 > 0.128
Easy Help 5th grade math will mark as brainlist
Answer
0.128>0.218 ,0.218>0.128, 0.128<0.218, 0.218>0.128
Step-by-step explanation:
0.218 is bigger because its 0.218 is a bigger number than 0.128What are the leading coefficient and degree of the polynomial?
v +9-45-124
Answer
5x
Step-by-step explanation:
64 hundredths + 8 hundredths add decimals
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
A function f is defined by f(x) = 3x + 1. Find
a. f(0)=
c. f(2)=
F(-2)
Answer:
a) f(0)=3*0+1 =0+1= 1
b)f(2)=3*2+1=6+1=7
c)f(-2)=3*(-2)+1=-6+1=-5
Answer:
Step-by-step explanation:
f(x) = 3x+1
f(0) = 3x + 1
f(0) = 3*0+1
f(0) = 0+1
f(0) = 1
f(2) = 3x+1
f(2) = 3*2+1
f(2) = 6+1
f(2) = 7
f(-2) =3x+1
f(-2) =3*-2+1
f(-2) = -6+1
f(-2) = -5
f(-2) =
Is -45.58 an integer
Answer: Yes
Step-by-step explanation: Because a integer is -45.58
Which term best describes the geometric figure?
Line
Point
Ray
Segment
Answer:
point
Step-by-step explanation:
the dot has no connectives or no paths
The best describes the geometric figure is a point. SO option B is correct.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints.
If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.
Therefore, The best describes the geometric figure is a point. SO option B is correct.
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rounding 615×38 to 1 significant figure estimate
Answer:
24,000
Step-by-step explanation:
615 ≈ 600
38 ≈ 40
600 × 40 = 24,000
Therefore, 615 × 38 ≈ 24,000
Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work