Respuesta:
T₁₀ = 1/16
S₁₀ = 63,9375
Explicación paso a paso:
Dado el término de un médico de cabecera como 32, 16, 8, 4 ...
El enésimo término de un médico de cabecera se expresa como;
Tn = arⁿ⁻¹
a es el primer término
r es la razón común
n es el número de términos
Dado
a = 32
r = 16/32 = 8/16 = 4/8 = 1/2
n = 10 (ya que necesitamos el décimo término de la secuencia)
Sustituir en la fórmula;
Tn = arⁿ⁻¹
T₁₀ = 32 (1/2) ¹⁰⁻¹
T₁₀ = 32 (1/2) ⁹
T₁₀ = 32 (1/512)
T₁₀ = 32/512
T₁₀ = 1/16
Por lo tanto, el décimo término de la secuencia es 1/16.
La suma de un GP se expresa como se muestra;
Sₙ = a (1-rⁿ) / 1-r para r <1
S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2
S₁₀ = 32 (1-1 / 1024) / 1/2
S₁₀ = 64 (1 - 1/1024)
S₁₀ = 64 (1023/1024)
S₁₀ = 63,9375
por lo tanto, la suma de los primeros diez términos es 63,9375
The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closet to the length of this rectangle in feet?
Answer:
.
Step-by-step explanation:
plss help i really need this! i really need serious answer :(
Answer:
1) 4
2) 15/2
3) 75
Step-by-step explanation:
Answer:
BD is midsegment parallel to CEMidsegment is the half the parallel side1. If BD = 2, then CE = 2*BD = 2*2 = 4
2. If AC = 15, the AB = 1.2*15 = 7.5
3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles
4. If AE = 6x + 8 and BD = 18, then x is:
this is confusing, there is no direct relationship between these two segments5. If BD = x + 1 and CE = x + 10 then:
2(x + 1) = x + 10 ⇒ 2x + 2 = x + 10 ⇒ x = 8please help me!!! I would appreciate it please
Answer:
y = -|x-3|+2
Step-by-step explanation:
The y-intercept is 2, because absolute value takes values from 0 to infinity, and minus absolute value (as we have here) takes values from 0 to -infinity, so wee need to shift 2 upwards.
We can notice that the 0-point of the absolute value (without intercept) is at x=3, so we need |x - ?| to equal 0 when x = 3, so ? is 3.
y = -|x-3|+2
A right triangle is displayed.
The area of the right triangle is
A. 24 in ^2
B. 48 in ^2
C. 432 in ^2
D. 864 in ^2
Answer:
You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.
What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
Factor the expression.
Show your work
x²+3xy−18y²
Answer:
(x + 6y)(x - 3y)
Step-by-step explanation:
Given
x² + 3xy - 18y²
Consider the factors of the coefficient of the y² term (- 18) which sum to give the coefficient of the xy- term (+ 3)
The factors are + 6 and - 3 , since
6 × - 3 = - 18 and 6 - 3 = + 3 , then
x² + 3xy - 18y² = (x + 6y)(x - 3y)
Janine graphs these two lines and finds that they intersect.
y = -x + 1
2x + 3y = 6
Select the number from the drop down menu that correctly completes the
statement.
The y coordinate of the point of intersection is choose...
Answer:3
Step-by-step explanation:
#10 Look at picture
Step-by-step explanation:
425 that is the answer ❤️x - 2y = 2 3x + 3y = 24
Answer:
Step-by-step explanation:
what the question
have a nice day
Which is greater, 4 miles or 7,000 yards ? How much greater? Explain.
Answer:
4 miles is greater.
Step-by-step explanation:
When we convert 4 miles to yards, we get 7,040. Therefore, when we look at the amount, we can see that 7,040 is greater than 7,000.
The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?
Answer:
10 feet
Step-by-step explanation:
a²+b²+=c²
a=8ft
b=6ft
You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly
Answer:
If you had a 50 question test and a grade of 82% then you would have gotten 9 questions wrong and 41 correct anwsers.
This is for today someone can help me pls!!!
Answer:
sdf
Step-by-step explanation:
sdfgh
4sqrt(98) + sqrt(150) - 2sqrt(32)
Answer:
40.53171996
Step-by-step explanation:
Used a calculator
In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.
Answer:
I think B is the correct answer, sorry im not very good with math tho.
Step-by-step explanation:
Sorry if its incorrect
Plzz help will mark brainiest Don't do it for the points
Answer:
I think the answer is B
Step-by-step explanation:
Which expression is equivalent to 8 p − 3 n + 4 q − 9 m ? 0 0 5 p n − 5 q m 5 p n minus 5 q m 4 ( 2 p + q ) − 3 ( n + 3 m ) 4 times open paren 2 p plus q close paren minus 3 times open paren n plus 3 m close paren 4 ( 2 p + q ) − 3 ( n − 3 m ) 4 times open paren 2 p plus q close paren minus 3 times open paren n minus 3 m close paren
Answer:
[tex]8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m][/tex]
Step-by-step explanation:
Given
[tex]8p - 3n + 4q -9m[/tex]
Required
The equivalent expression
[tex]8p - 3n + 4q -9m[/tex]
Rewrite:
[tex]8p - 3n + 4q -9m = 8p + 4q- 3n -9m[/tex]
Group to 2
[tex]8p - 3n + 4q -9m = [8p + 4q]- [3n +9m][/tex]
Factorize each group
[tex]8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m][/tex]
Solved
What is the answer to this?
Answer:
[tex]<F+<K+<H+<G=360[/tex]°
[tex]90[/tex]°[tex]+3x+90+2x=360[/tex]°
⇒[tex]5x+80=360\\[/tex]
⇒[tex]5x=360-+80[/tex]
⇒[tex]5x=-+80[/tex]
⇒[tex]x=\frac{-+80}{5}[/tex]
⇒x=36°
3x=3×36=108°
2x=2×36=72°
FG≈HG=17
hope it helps...
have a great day!!
hello can somebody help please
Answer:
C 170
Step-by-step explanation:
Harold drove 165 miles in 3 hours. Complete parts a and b.
a. How many miles per hour did Harold drive?
Harold drove at
mile(s) per hour.
A restaurant used 5 pounds of ground beef to make one dozen hamburger. At this rate,how many pounds of ground are needed to make 144 hamburger?
What is the answer to the equation: 8+10
Answer:
18, the answer to 8+10 is 18, like you learn in 1st grade
Answer:
18 the answer
hope it helps
answer to 7x^2 - 3x + 6 = 0
Answer: 2.7
Step-by-step explanation: Hope this helps!
Answer:
(3 - [tex]\sqrt{159}[/tex]) / 14 ≈ -0.7
(3 + [tex]\sqrt{159}[/tex]) / 14 ≈ 1.1
Step-by-step explanation:
this quadratic has no real roots because of the negative square root
(easy practice ) 6/8 divided by 2/3
Answer:
9/8
Step-by-step explanation:
When dividing by fractions, you take the first number and multiply it by the reciprocal of the second number.
so in this case, 6/8 times 3/2
18/16
9/8
What's the distance between (5, 13) and (9, 1)
Answer: 16
Step-by-step 8+8
The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?
Answer: 4 gallons per day
Step-by-step explanation:
From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.
The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:
= 12/3
= 4 gallons per day
Therefore, the rate they use in taking milk is 4 gallons per day.
URGENT!!!! A ship sails due east from point A for 30 miles. It then
adjusts its course 10° to the north and travels 20 miles to point
B. How far is point A from point B? Estimate the answer to the
nearest tenth. Don't forget the units.
A helicopter flies 665 feet above ground. What is the measure of the angle of depression fro t the helicopter to the girls line of sight
Answer:
67°
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE
From, trigonometry
tan(θ) = opposite/ adjacent
✓The helicopter is 665 feet from ground.
✓Distance of the helicopter and the line of sight of the girl will be the OPPOSITE SIDE, which is
(665ft - 5 ft)
= 600 ft
✓ from the figure, we can see the distance on the Horizontal side which is the ADJACENT SIDE as ( 280 ft)
✓angle of depression can be calculated as
tan(θ) = opposite/ adjacent
tan(θ)= (660/280)
tan(θ)= 2.357
tan-1=(2.357)
θ= 67°
Hence, angle of depression is 67°
Simplify: 8 - | 7 - 9 | x 3
Answer:
8-2[tex]x^{2}[/tex]
Step-by-step explanation:
Answer:
[tex]8 - |7 - 9| {x}^{3} \\ 8 - | - 2| {x}^{3} \\ 8 - 2 {x}^{3} \\ thank \: you[/tex]
Find the gradient for y= 1/4x-2
Answer:
1/4
Step-by-step explanation:
comparing with y=mx+c