Answer:
20
Step-by-step explanation:
We know that the diagonals are bisected, which means
2x+4 = 6x-8
Subtract 2x from each side
2x+4-2x = 6x-8-2x
4 = 4x -8
Add 8 to each side
4+8 = 4x-8+8
12 = 4x
Divide by 4
12/4 = 4x/4
3 =x
We want to know CF = DB = 2x+4 + 6x -8
CF = 8x-4
= 8(3) -4
= 24-4
= 20
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready function tomorrow the situation. Determine the percent increase of the population of most of each month.
Answer:
[tex]y=120 * 1.1^x[/tex] --- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
[tex]x \to months[/tex]
[tex]y \to mice[/tex]
So, we have:
[tex](x_1,y_1) = (0,120)[/tex] --- Monday
[tex](x_2,y_2) = (1,132)[/tex] --- One month later
Required
The function
The function is represented as:
[tex]y=ab^x[/tex]
In [tex](x_1,y_1) = (0,120)[/tex], we have:
[tex]120 = a * b^0[/tex]
[tex]120 = a * 1[/tex]
[tex]120 = a[/tex]
[tex]a=120[/tex]
In [tex](x_2,y_2) = (1,132)[/tex], we have:
[tex]132 = a * b^1[/tex]
[tex]132 = a * b[/tex]
Substitute: [tex]a=120[/tex]
[tex]132 = 120 * b[/tex]
Solve for b
[tex]b = \frac{132}{120}[/tex]
[tex]b = 1.1[/tex]
So, the function is:
[tex]y=ab^x[/tex]
[tex]y=120 * 1.1^x[/tex]
To calculate the monthly rate (r), we have:
[tex]y =a(1 + r)^x[/tex]
Compare to: [tex]y =ab^x[/tex]
[tex]1 + r = b[/tex]
Make r the subject
[tex]r = b-1[/tex]
Substitute [tex]b = 1.1[/tex]
[tex]r = 1.1-1[/tex]
[tex]r = 0.1[/tex]
Express as percentage
[tex]r = 0.1*100\%[/tex]
[tex]r = 10\%[/tex]
which of the following is equivalent to the quotient below
Answer:
B
Step-by-step explanation:
Hope it helps and if you need explanation let it in the comments
Answer:
B
Step-by-step explanation:
Chang wants to rent a boat and spend at most $44. the boat cost $8 per hour, and chang has a discount coupon for $4 off. what are the possible numbers of hours chain could rent the boat? Use "t" for number of hours .
Answer:
6 hours.
Step-by-step explanation:
Here's my work.
Chang only wanted to spend $44, and the boat costs $8/hr. So, the variable would only be 8t, and you would put 44 on the other side.
Then, you'd put -4 on the side with 8t, because you can take off $4.
So, the setup would be;
44 = 8t - 4.
Emily and her sister packed a turkey sandwich for their lunch. Emily makes a turkey sandwich
every 4 days. Her sister makes a turkey sandwich every 8 days. How many days will pass before
they both pack a turkey sandwich on the same day again?
Answer:
ok so lets make a list of what days each sister will make sandwiches
Emily:4,8,12,16,20
Sister:8,16,24,32,40
from looking at this we know that they will both make sandwiches on the 8th day
Hope This Helps!!!
A triangle is rotated 90° about the origin. Which rule describes the transformation?
Answer:
Rotation
Step-by-step explanation:
It's kind of in the statement, but because the triangle is being rotated, that transformation is called a rotation.
I implore you help *puppy eyes*
Answer:
0 and 1
Step-by-step explanation:
if you look at the graph the X valuesare 0,1
Answer:
x = 0, x = 1
Step-by-step explanation:
reg is visiting the united states and needs to convert 2,000 rupees to US dollars
Answer:
27.3 dollars
Step-by-step explanation:
If a = 27, b = -10 and c = 40, show that a-(6-c) +(a - b)-C.
Answer:
58
Step-by-step explanation:
a = 27, b = -10 and c = 40
= a - (6 - c) + (a - b) - C
= 27 - (6 - 40) + (27 - (-10)) - 40
= 27 - (-34) + (37) - 40
= 27 + 34 + 37 - 40
= 58
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{a - (6 - c) + (a - b) - c}[/tex]
[tex]\large\textsf{= 27 - (6 - 40) + (27 - (-10)) - 40}[/tex]
[tex]\large\textsf{6 - 40 = \bf -34}[/tex]
[tex]\large\textsf{= 27 - (-34) + (27 - (-10)) - 40}[/tex]
[tex]\large\textsf{= 27 + 34 + 27 + 10 - 40}[/tex]
[tex]\large\textsf{27 + 34 = \bf 61}[/tex]
[tex]\large\textsf{= 61 + 27 + 10 - 40}[/tex]
[tex]\large\textsf{61 + 27 = \bf 88}[/tex]
[tex]\large\textsf{88 + 10 - 40}[/tex]
[tex]\large\textsf{88 + 10 = \bf 98}[/tex]
[tex]\large\textsf{98 - 40}[/tex]
[tex]\large\textsf{= \bf 58}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 58}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
expand and simplify (x-5)^2
^2= to the power of 2
Step-by-step explanation:
thats my answer thankyou
mark me as BRAINLIEST
follow me
carry on learning
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
[tex] \large{ \tt{✤ \: FIRST ,\: MEMORISE \: THESE}} : [/tex]
[tex](a + b)^{2} = {a}^{2} + 2ab + {b}^{2} [/tex][tex] (a - b) ^{2} = {a}^{2} - 2ab + {b}^{2} [/tex][tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex][tex] {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab \: [/tex] or [tex] {(a - b)}^{2} + 2ab[/tex][tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
[tex] \large{ \tt{⋆ \: (x - 5) ^{2} }}[/tex]
Use the formula of ( a - b ) ². Assume ' x ' as ' a ' & ' 5 ' as ' y ' :[tex] \large{ \tt{↦ {x}^{2} - 2 \times x \times 5 + {5}^{2} }}[/tex]
[tex] \boxed{ \large{ \tt{↦ \: {x}^{2} - 10x + 25 }}}[/tex]
Hence , the required answer is x² - 10x + 25And we're done! ♡
[tex] \large{ \# \: \mathfrak{StayInAndExplore \: ☂}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
If AC = 28 meters and BC = 21 meters, what is the measure of angle C?*
A
B В
41.41
0 ОО
48.59
none of the other choices
0.99
Ο Ο
36.87
Find the value of angle n
Answer:
55
Step-by-step explanation:
since angle 35 and the arrow are parallel they are the same.
Solve for f: efg - h = i
Given:
The equation is:
[tex]efg-h=i[/tex]
To find:
The value of f.
Solution:
We have,
[tex]efg-h=i[/tex]
We need to isolate f to find the value of f.
Adding h on both sides, we get
[tex]efg-h+h=i+h[/tex]
[tex]efg=i+h[/tex]
Dividing both sides by [tex]eg[/tex], we get
[tex]\dfrac{efg}{eg}=\dfrac{i+h}{eg}[/tex]
[tex]f=\dfrac{i+h}{eg}[/tex]
Therefore, the value of f is [tex]f=\dfrac{i+h}{eg}[/tex].
Find the difference.
(3 - 13x - 7x2) - (5x2 + 12x - 10)
A.
-12x2 - 25x - 7
B.
-12x2 - 25x + 13
C.
-12x2 - x - 7
D.
3x2 - 25x - 2
Answer:
Is that the letter (x) or Is that times?
If it is times; then the difference is:
Option "C" -12x2-x-7
Step-by-step explanation:
why, because it is not solvable
Answer:
the person above me is wrong,
Step-by-step explanation:
its
Simplify the expression.
12x2 - 25x + 13
What is the solution to this system?
x - y = 6
y = 2x - 5
help asap Please show working
Answer:
(a) -12
(b) 37
(c) -840
Step-by-step explanation:
We simply have to plug in the values for each expression.
2 + -3(3) - 5 = 2 + -9 - 5 = -7 - 5 = -12
5(2) - 4(-3) + 3(5) = 10 - -12 + 15 = 10 + 12 + 15 = 22 + 15 = 37
7(2^3)(-3)(5) = 7(8)(-15) = 56(-15) = -840
if f(x) = 3x + 2, what is f(5)?
Answer:
f(x)=3x+2 what is f(5)
f(5)=3(5)+2 = 17
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]f(5)=17[/tex]
»»————- ★ ————-««
Here’s why:
Replace the 'x' with the given value (in this case 5) and solve.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?
Answer:
14
Step-by-step explanation:
the radius is always half the diameter.
but i could be wrong ,beacause im not sure why they gave you the height.
Answer:
Radius is 14 cm
Step-by-step explanation:
To find the radius, you divide the diametre by 2
28 ÷ 2 = 14
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
first option is correct
Step-by-step explanation:
3x+12+x=180 degree (being linear pair)
4x+12=180
4x=180-12
x=168/4
x=42
Please help ASAP
A map uses a scale of 3 centimeters to represent 20 miles. The distance between Mt. Hope and
Camden is 56 miles. Which proportion can be used to find 2, the distance between Mt. Hope and
Camden on the map?
Answer:
Option B is correct
Step-by-step explanation:
Hope that helped u
What is the measure of the reference angle for a -289 angle
A. 89
B. 71
C. 289
D. 19
Answer:
B
Step-by-step explanation:
The reference angle and the given angle are the same angle.
Add 360° to the given angle , so
reference angle = - 289° + 360° = 71° → B
How do I find out 4)?
Answer:
Step-by-step explanation:
Given expression is,
[tex]\lim_{m \to \infty} \frac{4m^2-6m+1}{3m^2+5m+7}[/tex]
By dividing denominator and numerator of the given fraction by m²,
[tex]\lim_{m \to \infty} \frac{\frac{4m^2-6m+1}{m^2} }{\frac{3m^2+5m+7}{m^2} }[/tex]
= [tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }[/tex]
We know that [tex]\lim_{n \to \infty} \frac{1}{n}=0[/tex]
[tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }=\frac{4-0+0}{3+0+0}[/tex]
[tex]=\frac{4}{3}[/tex]
Therefore, We can evaluate the limit of the expression by substituting ∞ in for m.
Can someone explain to me what 7.1 x 10^-3 is in standard form?
71000 is in the standard form of 7.1 x 10^-3 .
Step-by-step explanation:
I wish if I could explain you with steps but this is the question I've never done with steps. I always give direct answers from those questions !!
The ___ is the number of times a base is multiplied by itself indicated by an exponent.
7×3 22222222222222222222×5
Answer:
Power
Step-by-step explanation:
A(n) ___ is the number of times a base is multiplied by itself indicated by an exponent.
Power
PLEASEEEE HELPPPP HURYYYYUUU
Answer:
A. P = 29.7 m
Step-by-step explanation:
6² + 8² = y²
36 + 64 = y²
y² = 100
√y² = √100
y = 10
10 ÷ 2 = 5
5 × 3.14 × 2
31.4
31.4 ÷ 2 = 15.7
15.7 + 6 + 8 = 29.7
i need help with this
Answer: x=32
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
Since we know a=10 the other two angles must add up to 170 degrees.
[tex]2x+3x=170[/tex]
We can now solve for x
[tex]2x+3x=170\\5x=170\\\frac{5x}{5} =\frac{170}{5}\\x=34[/tex]
We can sub in x to both angles to see if they angles add up to 180
[tex]2(34)+3(34)+10=180\\68+102+10=180\\180=180[/tex]
Esteban y Teresa son usuarios habituales del tren. Esteban siempre paga su pasaje. Teresa, en cambio, lo usa sin pagar. El viaje cuesta $ 0,68 y el revisor pone una multa de $ 50 cuan-do detecta un viajero sin pasaje, lo que ocurre en un 15% de los casos. ¿Cuál de los dos actúa más inteligentemente?
Respuesta:
Esteban actuó de forma más inteligente
Explicación paso a paso:
De la narración dada arriba, podemos concluir que la decisión de Esteban de pagar siempre la tarifa de su boleto es un movimiento muy inteligente. Esto se debe a que al comparar la tarifa del boleto y el monto de la multa para aquellos que no pagan y la probabilidad de que una persona sea atrapada, se podría concluir que las personas que no paguen terminarán pagando más a largo plazo;
Tarifa de entrada = $ 0,68
Tarifa de multa = $ 50 con un 15% de probabilidad de ser atrapado; tarifa esperada = (0.15 * 50) + (0.85 * 0) = $ 7.5
a right triangle has legs of lengths 6 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
6.3
Step-by-step explanation:
[tex]6^{2} + 2^{2} = x^{2}[/tex]
40 = [tex]x^{2}[/tex]
[tex]\sqrt{40} = \sqrt{x^{2} }[/tex]
x = 6.3
Answer:
6.3
Step-by-step explanation:
Pythagoras' Theorem (or Pythagorean Theorem) states a²+b²=c², where c is the hypotenuse.
We can use this equation and swap a and b for 6 and 2. This gives 6²+2²=c², which can be expanded to 36+4=c², and further c²=40.
To work out c, we need to square root both sides, leaving c=6.3245553203367586639977870888654, which rounded to 1 decimal place (nearest tenth) is 6.3.
**This content involves Pythagoras' Theorem or The Pythagorean Theorem, which you may wish to revise. I'm always happy to help!
hello i give points!
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
HELPP HELPPP PLEASEEE
the table shows the result of a survey asking 48 students what type if pet they prefer.
if one student in the survey Is selected at random, what is the probability the student will prefer cat or dog?
Answer:
12/5
Step-by-step explanation:
The total number of students divided by the number of students who prefer dogs.
Mathematically:
48/20
=12/5
Therefore, that's the probability
Solve for a
5 + 7a = 19