Answer:
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
Step-by-step explanation:
A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model?
a.) The model represents a reduction
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
d.) one side of the model can be 8.5 feet long
e.) the scale factor is divided by 2.5 to get the dimensions of the model
Which is 5logx+6log(x + 7) written as a single logarithm?
[tex]\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 5\log(x)+6\log(x+7)\implies \log(x^5)+\log\left[ \left( x+7 \right)^6 \right] \implies \log\left[ x^5\left( x+7 \right)^6 \right][/tex]
Answer: log(x^5(x+7)^6)
Hope that helps! (:
9. Date Units Purchased Cost Per Unit
January 1
$8.00 (Beginning inventory)
January 18
9.00
February 20
11.00
March 15
12.00 (Ending inventory: 19)
The value of the ending inventory based on FIFO is
$196.00.
$126.00.
$216.00.
$219.00.
Answer:
$219.00.
Step-by-step explanation:
January 1, 10 units @ $8 (10 x 8) = $80
January 18, 50 units @ $9 (50 x 9) = $450
February 20, 20 units @ $11 (20 x 11) = $220
March 15, 10 units @ $12 (10 x 12) = 120
Ending Inventory = 19 unit
Ending Inventory = (10 x12) + (9 x 11) = $219
Answer:
$219.00 (or $220.00 because it's closest option to $219.00)
Step-by-step explanation:
Is 4 a solution of 2x = 8
Answer: yes
Step-by-step explanation:
2(4)=8
Yes, 4 is a solution of 2x = 8
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given,
4 is solution of 2x = 8,
Then, putting x = 4
2(4) = 8
8 = 8
LHS = RHS
Hence, 4 is a solution of 2x = 8.
Learn more about equation here:
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3.14(6x)^2
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How long does it take for the Earth to go through one full day/night cycle?
Round to the nearest hour.
________hour(s)
Answer:
24 hours
Step-by-step explanation:
- 4(x – 4) – 3 = 12 + 6x
answer:
1/10 as a fraction or if you want it as a decimal it would be 0.1
step-by-step explanation:
-4(x-4)- 3=12+6x after seeing you multiply -4 by x and -4
and you would get
-4x+0-3=12+6x and then you distribute all the way and you would get
1/10 or if you dont want a fraction and want a decimal is would be 0.1
Answer:
x=1/10 or x=0.1
Step-by-step explanation:
Multiply the parenthesis by 4 (-4x+16-3=12+6x)then subtract the numbers (16-3=13) then move the variable to the left side and change its sign (-4-6x+13=12 to -4x-6x=12-13) then add the terms (-4x-6x=12-13 to -10x=12-13) and get the difference (-4x-6x=12-13 to -10x=-1) then divide bothe sides of the equation by -10 then your answer would be x=1/10
Which is equivalent to a 270° clockwise
rotation about the origin?
O A. a 90° counterclockwise rotation
about the origin
OB. a 180° counterclockwise rotation
about the origin
O c. a 270° counterclockwise rotation.
about the origin
O D. a 360° counterclockwise rotation
about the origin
If f(x)=2(3^*)+1 which is the value of f(2)
Answer:
f(2)=19
Step-by-step explanation:
If *=x, f(2)=2(3^2)+1=2*9+1=18+1=19
Find the volume of the right circular cylinder when the circumference of it’s circular base is 44 cm and It’x height is 10 cm.
The volume of the cylinder is [tex]1539 cm^3[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the equation
[tex]V=\pi r^2 h[/tex]
where
[tex]\pi r^2[/tex] is the area of the base, with r being the radius
h is the height
For the cylinder in this problem we know:
h = 10 cm (height)
c = 44 cm (circumference of the base)
The circumference is given by
[tex]c=2\pi r[/tex]
So the radius is
[tex]r=\frac{c}{2\pi}=\frac{44}{2\pi}=7 cm[/tex]
Therefore, the volume of the cylinder is:
[tex]V=\pi (7)^2 (10)=1539 cm^3[/tex]
Learn more about volume of a solid:
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Solving systems of equations y=-3x+4 and x=2y+6
Answer:
Therefore x=2 and y=-2Step-by-step explanation:
Given system of equations are
y= -3x+4
⇔3x+y=4 .........(1)
x= 2y+6
⇔x-2y=6...........(2)
Equation (1) ×2 +equation (2)
6x +2y+x-2y =8+6
⇔7x=14
[tex]\Leftrightarrow x= \frac{14}{7}[/tex]
⇔x = 2
Putting the value of x in equation (1)
3.2+y=4
⇔y+6=4
⇔y=4-6
⇔y=-2
Therefore x=2 and y=-2
catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. express the amount of debt remaining as a function of time in months
Answer:$200 per month is spent.
Step-by-step explanation:
$2400 divided by 12 = $200
The amount of debt remaining as Catherine pays off her $2400 loan over 12 months is expressed by the function D(t) = 2400 - 200t, where t is the time in months.
Explanation:Catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. To express the amount of debt remaining as a function of time in months, let's denote the amount of debt remaining as D(t), where t is the time in months.
Since she is making equal payments over 12 months, the total amount she needs to pay each month is $2400 divided by 12 months, which is $200 per month. Therefore, the function that represents the amount of debt remaining at any time t is given by : D(t) = 2400 - 200t
This linear function shows that for each month that passes, $200 is subtracted from the original loan amount of $2400, representing the payments made towards the loan. Thus, after t months, the amount of debt remaining is calculated by subtracting $200 times the number of months from the initial loan amount.
Express each ratio as a fraction in simplest form. A 26:169 B 36 to 78
The ratios 26:169 and 36 to 78, when expressed as fractions in simplest form, are 2/13 and 6/13, respectively, after identifying and dividing by their greatest common factors.
The task is to express each ratio as a fraction in its simplest form. Let's tackle each ratio one at a time.
A. 26:169
To convert the ratio 26:169 into a fraction in simplest form, we observe that both numbers are divisible by their greatest common factor (GCF), which is 26. Dividing both terms by 26, we get 1/6.5. However, to express this in terms of whole numbers, multiplying numerator and denominator by 2 gives us 2/13, which is the fraction in its simplest form.
B. 36 to 78
For the ratio 36 to 78, first, we convert it into fraction form, which is 36/78. The GCF of 36 and 78 is 6. Dividing both the numerator and the denominator by 6, we get 6/13. Therefore, the simplest form of the ratio 36 to 78 is 6/13.
y=11 + x
5x+2y= -6
What is the answer
X=3.1:
Step-by-step explanation:
PLEASE HELPPP!!! The password to my tablet consists of 4 numbers. 0-9. Order doesn't matter. Repetition is allowed. How many possible combinations are there?
Answer:
10,000
Step-by-step explanation:
_ _ _ _
10 options for each position
10×10×10×10 = 10000
Answer:
210 combinations.
Step-by-step explanation:
We have 10 total digits (0-9) and we only use 4 at a time. We can use the permutation formula [tex]\frac{n!}{k!(n-k)!}[/tex], and plug in 10 for n and 4 for k. This is called:
n choose k.
Plug the values in, and we get 210 permutations for the password.
Name the object that exhibits rotational symmetry.
1.)Ferris wheel
2.)sunglasses
3.)tent
4.)a pair of scissors
Answer:
1.) Ferris wheel
Step-by-step explanation:
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
Let w represent the width of the rectangle. What quadratic equation, in standard form, represents this situation?
Answer: _____________________________
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
What is the length of the rectangle? Show your work.
A. 1 m
B. 21 m
C. 25 m
D. 51 m
PLZ help 50 points and brainliest
6 + 3(6x - 2) = -12
You need to isolate/get x by itself in the equation
6 + 3(6x - 2) = -12 Distribute/multiply 3 into (6x - 2)
6 + (3)6x - (3)2 = -12
6 + 18x - 6 = -12 Combine like terms (6 and -6)
18x = -12 Divide 18 on both sides to get x by itself
[tex]x = -\frac{12}{18}[/tex] Simplify
[tex]x=-\frac{2}{3}[/tex]
PROOF
[tex]6+3(6(-\frac{2}{3} )-2)=-12[/tex] Plug in -2/3 into x, then multiply 6 and -2/3
6 + 3(-4 - 2) = -12 Simplify what's in the parentheses
6 + 3(-6) = -12 Multiply 3 and -6
6 - 18 = -12
-12 = -12
What are the steps to solving -1.56+.73
Answer:
-0.83
Step-by-step explanation:
y=-3x + 6
y=9
What is the solution to the system of equations
Answer:
the answer is x=-1 and y=9. Hope this helps!
PLEASE GIVE BRAINLEST
9. Lucas is in a car traveling at 15 m/s. This car starts to decelerate
steadily. It comes to a complete stop in 10 seconds. What is it's
acceleration?
Answer:
3/2 m / sec²
Step-by-step explanation:
acceleration = change in velocity / time
Here, that would be
acc'n = 15 m/s / 10 s = 3/2 m / sec²
Which is the most accurate measurement of 1 pound? (Remember, there are 16 ounces in a pound
Answer:
16 ounces
Step-by-step explanation:
The answer is option C. 16 ounces.
The most accurate measurement of 1 pound would be 16 ounces, because, by definition, there are 16 ounces in 1 pound.
Among the options provided:
A. 6 ounces: This is less than 1 pound.
B. 20.099 ounces: This is more than 1 pound.
C. 16 ounces: This is equal to 1 pound.
D. 10 ounces: This is less than 1 pound.
So, the most accurate measurement of 1 pound is 16 ounces.
One pound is most accurately measured as 16 ounces. This is because the imperial system defines one pound as equivalent to 16 ounces.
The question is:
Which is the most accurate measurement of 1 pound? (Remember, there are 16 ounces in a pound.)
A. 6 ounces
B. 20.099 ounces
C. 16 ounces
D. 10 ounces
(A person bought a water
tank of circular base having the radius 10.5 m and height
21 m for the use of his community from the 'Gyani Tank
Factory'. If the upper part of the tank is semi spherical,
how many litre of water will be contained in the tank?)
Answer:
About [tex]9,693,180\ liters[/tex]
Step-by-step explanation:
we know that
The volume of the tank is equal to the volume of a cylinder plus the volume of hemisphere
so
[tex]V=\pi r^{2}h+\frac{2}{3}\pi r^{3}[/tex]
where
[tex]r=10.5\ m\\h=21\ m\\\pi=3.14[/tex]
substitute
[tex]V=(3.14)(10.5)^{2}(21)+\frac{2}{3}(3.14)(10.5)^{3}[/tex]
[tex]V=7,269.885+2,423.295=9,693.18\ m^3[/tex]
Convert to liters
[tex]1\ m^3=1,000\ L[/tex]
therefore
The volume is equal to
[tex]9,693.18(1,000)=9,693,180\ liters[/tex]
Find the sum of the first seven terms of the sequence 4, 12, 36, 108
Answer:
I belive the anwers is a
Step-by-step explanation:
48 guests are attending the super bowl party. 6/8 of them attended the party last year. How many guests are attending the party for the first time?
Answer:
36.
Step-by-step explanation:
6 times 6 equals 36.
x-2y=8
4x+y=5
Solve linear systems by Multiplying
Step-by-step explanation:
The given system of linear equations:
x - 2y = 8 ........ (1)
and 4x + y = 5 ........ (2)
To find, the values of x and y = ?
Multiplying equation (2) by 2, we get
2(4x + y) = 5 × 2
⇒ 8x + 2y = 10 ........ (3)
Adding equations (1) and (3), we get
x - 2y + (8x + 2y) = 8 + 10
⇒ x - 2y + 8x + 2y = 8 + 10
⇒ 9x = 18
⇒ x = 2
Put x = 2 in (1), we get
2 - 2y = 8
⇒ 2y =2 - 8
⇒ 2y = - 6
⇒ y = - 3
∴ x = 2 and y = - 3
Which answer choice represents an
equation?
A Nine more than 7g
B Eight divided by 2x
C Six times the sum of 2 and 4
D Eleven minus h is 3
Which parent function is represented by the graph?
107
0
A. Absolute value parent function
B. An exponential parent function
c. Quadratic parent function
D. Linear parent function
Answer:
b is right on plato
Step-by-step explanation:
Answer: Correct answer is B
Step-by-step explanation:
sum of the 5th and 10th terms of an arithmetic sequence which are equal to the 20th term (80). find the 30th term
Yo sup??
a5=a+4d
a10=a+9d
a20=80=a+19d
a+4d+a+9d=a+19d
a=6d
80=6d+19d
80=25d
d=3.2
a=19.2
a30=a+29d
=19.2+92.8
=112
Hope this helps.
Si tomas sale de Ixtapa a las 6:00 am rumbo a Morelia a una velocidad de 70 kmxh ,a la misma hora Claudia sale de Morelia rumbo a Ixtapa a una velocidad de 40 kmxh si entre Morelia e Ixtapa hay una distancia de 660km a que distancia de Morelia se encontraran?
Answer:
El encuentro se producirá a 240 km de Morelia
Step-by-step explanation:
Velocidades Relativas
Este es un caso donde las velocidades son sumativas, pues ambos móviles van a su encuentro mútuo. La distancia total de 660 km será cubierta por ambos móviles con una velocidad relativa de 70 km/h + 40 km/h = 110 km/h
Ya que :
[tex]\displaystyle v=\frac{x}{t}[/tex]
Tenemos que
[tex]\displaystyle t=\frac{x}{v}[/tex]
[tex]\displaystyle t=\frac{660}{110}= 6 \ h[/tex]
Tomás anda a 70 km/h, así que en 6 horas recorre
[tex]x_t=6\times 70 = 420\ Km[/tex]
Claudia anda a 40 km/h, así que en las mismas 6 horas ha recorrido
[tex]x_c=6\times 40 = 240\ Km[/tex]
Se puede decir entonces, que el encuentro se producirá a 240 km de Morelia
Answer:
[tex]\large\boxed{\large\boxed{240km}}[/tex]
Explanation:
Since the question is in Spanish, I will give you the answer in Spanish.
En el punto de encuentro las distancias recorridas por Tomás y Claudia suman la distancia que existe entre Ixtapa y Morelia.
La distancia que recorre cada uno es igual al producto de su velocidad por el tiempo de recorrido.
Para Tomás esto es:[tex]distancia=velocidad\times tiempo\\ \\ d_{Tomas}=70km/h\times t[/tex]
Para Claudia la ecuación es:[tex]distancia=velocidad\times tiempo\\ \\ d_{Claudia}=40km/h\times t[/tex]
Los tiempos, [tex]t[/tex] , son los mismos al momento de encuentro, así que puedes crear una ecuación con una sola incógnita:
[tex]d_{Tomas}+d_{Claudia}=660Km=70km/h\times t+40km/h\times t[/tex]
Puedes obviar las unidades para resolver la ecuación:
[tex]660=70t+40t\\ \\ 660=110t\\ \\ 660/110=t\\ \\ 6=t\\\\ t=6[/tex]
El resultado es en horas: t = 6 horas.
Para encontrar la distancia remplaza el tiempo en la ecuación de Claudia, puesto que ella salió desde la ubicación de Morelia:[tex]d_{Claudia}=40km/h\times t=40km/h\times6h=240km[/tex]
Y esa es la respuesta. Se encontrarán a 240 km de Morelia.
A pair of shoes usually sells for $62. If the shoes are 40% off, and sales tax is 7%, what is the total price of the shoes, including tax?
Answer:
$39.80
Step-by-step explanation:
If the price is reduced by 40%, it is 100% -40% = 60% of what it was. If 7% tax is added to that, the result is 100% +7% = 107% of the sale price. The final price is ...
$62 × 0.60 × 1.07 = $39.80