Answer:
a(n) = 5*2^(n-1)
Step-by-step explanation:
The nth term of a geometric series is given by the relation :
a(n) = ar^(n-1)
Where, a = first term ; r = common ratio ; a(n) = nth term of the series.
Given the series : 5, 10, 20, 40,
First term, a = 5
Common ratio = a2/ a1 = a3/a2
Common ratio = 10/5 = 20/10
Common ratio = 2 = 2
Hence, nth term =
a(n) = 5*2^(n-1)
Which of the following proportions would allow you to find the height of the tree shown below? (Hint: Look closely at the units in the problem.)
Answer:
[tex] \frac{x}{125} = \frac{4.833}{5.5} [/tex]
Step-by-step explanation:
the key is to be consistent
make the fraction of the big triangle x / 125 and the small triangle 4.10 in. /5.5 ft
problem is measured in the unit of feet, 10 in. is equal to approximately 0.833 ft.
Which sequence of transformations carries ABCD onto HGFE?
A. Reflection across the x-axis followed by rotation of 90counterclockwise about the origin
B. Translation of three units up followed by reflection across the y-axis
C. Rotation of 90 clockwise about the origin followed by reflection across the x-axis
D. Translation of eight units to the left followed by reflection across the x-axis
The sequence of transformations carries ABCD onto HGFE Reflection across the x-axis means a change in y,(-6,-1) to (-6, 1)
We have given that,
A,B,C,D
We have to determine the sequence of transformations that carries ABCD onto HGFE.
What is the sequence of transformation?A sequence of transformations is a specific order of transformation events. This means that a sequence of transformations is handling more than one transformation and it matters in what order they occur.
look at top left coordinate (2,-1)
Eight units left = (2-8,-1) = (-6,-1)
Therefore the reflection across x-axis means change in y
(-6,-1) to (-6, 1).
To learn more about the transformation visit:
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The aspect ratio (the ratio of screen width to
height) of a rectangular flat-screen television is
16:9. The length of the diagonal of the screen
the television's screen 12c. Determine and wate. to
the nearest inch, the screen size (diagonal) of this
Mat-screen television
with a screen height of 20.6
inches
Answer:
[tex]Width = 36in[/tex]
[tex]Size = 42.02[/tex]
Step-by-step explanation:
Given
[tex]x \to width[/tex]
[tex]y \to height[/tex]
[tex]x : y = 16 : 9[/tex]
Required
The size of [tex]screen[/tex] of height [tex]20,6in[/tex]
First, we calculate the width using the following equivalent ratios
[tex]16: 9 = x : 20.6[/tex]
Express as fraction
[tex]\frac{16}{ 9} = \frac{x }{ 20.6}[/tex]
Solve for x
[tex]x = 20.6 * \frac{16}{ 9}[/tex]
[tex]x = 36.62[/tex]
Hence:
[tex]Width = 36in[/tex] --- approximated
So, we have:
[tex]x = 36.62[/tex]
[tex]y =20.6[/tex]
The size (diagonal) is then calculated using:
[tex]Size = \sqrt{x^2 + y^2[/tex]
[tex]Size = \sqrt{36.62^2 + 20.6^2[/tex]
[tex]Size = \sqrt{1765.3844[/tex]
[tex]Size = 42.02[/tex]
[tex]Size =42in[/tex] --- approximated
Solve 4.85 ÷ 5 = ___. 0.94 0.95 0.96 0.97
Answer:
4.85 ÷ 5 = 0.97
hope this helps
3. A waitress earns 15% in gratuity on the total price of her customer's meals. She also
earns $5 per hour. If the waitress's customers spend $200 on food and the waitress
works for 4 hours, how much would she earn in total?
a) $30
b) $50
c) $230
d) $250
first you find 15% of $200
15/100×200=$30
then you find the total money she earned for the hours she worked
4×5=$20
then you add the amounts
$20+$30=$50
Solve each of the following equations by the trial and error method : A) X- 7= -3 help some one now
Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
The mean useful life of car batteries is 56 months. They have a standard deviation of 6. Assume the useful life of batteries is normally
distributed
a. Calculate the percent of batteries with a useful life of less than 38 months. (Round your answer to the nearest hundredth percent.)
b. Calculate the percent of batteries that will last longer than 68 months. (Round your answer to the nearest hundredth percent.)
a. Percent of batteries
%
b. Percent of batteries
%
Answer:a. 0.13% b. 2.28%
Step-by-step explanation:
Let x denotes the useful life of batteries.
Given: [tex]\mu=56[/tex] months, [tex]\sigma=6[/tex]
Since X is normally distributed.
The probability that batteries with a useful life of less than 38 months
[tex]P(X<38)=P(\frac{X-\mu}{\sigma}<\frac{38-56}{6})\\\\=P(Z<-3) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<3) \\\\=1- 0.9987\\\\=0.0013[/tex]
The percent of batteries with a useful life of less than 38 months =0.13%
The probability that batteries will last longer than 68 months
[tex]P(X>68)=P(\frac{X-\mu}{\sigma}>\frac{68-56}{6})\\\\=P(Z>2) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<2)\\\\=1-0.9772=0.0228[/tex]
The percent of batteries that will last longer than 68 months =2.28%
Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player have?
Answer:
R= 1203 P= 1478
Step-by-step explanation:
2681- 275= 2406/2 = 1203+ 275= 1478
Can someone please help, ty!!
Will mark brainliest!
The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.
82 + 55 + x = 180
137 + x = 180
x = 43 degrees
Hope this helps!! :)
Answer:
Step-by-step explanation:
55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)
137+missing angle=180
missing angle=180-137
missing angle=43 degree
therefore ur answer is 43 degree.
PLEASE HELP! Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a radius of 9 inches. Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation? Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Step-by-step explanation:
(1) 4/9 × 360° = 160°
(2) 9/4 rotations or 2¼ rotations
Which point is located on the x-axis of a coordinate grid?
A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (2, 1)
Answer:
I believe it is B
Step-by-step explanation:
Remember - x,y. The 1 was found on the x-axis.
Answer this pls. its all about the pythagorean theorem thanks
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Find the measure of angle 6 if the measure of angle 4 is 65 degrees
Answer:
Step-by-step explanation:
angle 4=angle 6(being alternate interior angle)
65 degree=angle 6
0.088 is more than 0.78, right?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
[tex]0.088 < 0.78[/tex]
»»————- ★ ————-««
Here’s why:
0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths. 0.088 is less than 0.78, not greater than.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
the product of a number and five less than the number is 66 find the number
Answer:
the answer is 16.5 or when runner becomes 17.
Step-by-step explanation:
The product of a number and five
= the number is always replaced by a variable. and I used
[tex]x[/tex]
[tex]5 \times x[/tex]
less than the number is 66
=
[tex]5 \times x - x = 66[/tex]
[tex] = 5x - x = 66[/tex]
[tex]4x = 66[/tex]
you divide both sides by 4 since we want X to stand alone .
[tex] \frac{4x}{4} = \frac{66}{4} [/tex]
[tex]4 \: will \: cancel \: 4 \: and \: 66[/tex]
[tex]giving \: you \: 16.5 \: or \: when \: run \: becomes17[/tex]
Disolvemos 45 g de amoniaco en 500 g de
agua. Calcula el porcentaje en masa de la
disolución
it would be photosynthesis because of the flowers
simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls out one coin at a time, what is the probability that the first 3 coins that are equal to $0.40?
Answer:
1/4
Step-by-step explanation:
Q=event of pulling a quarter (25 cents)
D=event of pulling a dime (10 cents)
N=event of pulling a nickel (5 cents)
P=event of pulling a penny (1 cent)
Simon needs to pull out the penny last, so that the first three coins add up to $0.40.
We assume the coins are wrapped so it is a random choice.
For the first coin, probability of NOT pulling a penny is 3/4,
similarly, for the second coin, probability of NOT pulling a penny is 2/3,
for the third coin, probability of NOT pulling a penny is 1/2,
For all this to happen, we use the multiplication rule
P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4
Hurry plz I got 7 mins
Answer:
5
Step-by-step explanation:
90 ÷ 18 = 5 days. Hope this helps! :)
Answer:
15
Step-by-step explanation:
15=90/60=1.5 as whole is 15
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?
Answer:
9 and 16
Step-by-step explanation:
let the two numbers are X and Y
X+Y=24
X^2-Y^2=144
solve simultaneously
Write an equation in point-slope form for the line through the given point with the given slope.
(8, –3); m = -1/4
Answer:
y+3 = -1/4(x-8)
Step-by-step explanation:
Point slope form is y-y1 = m(x-x1) where m is the slope and (x1-y1) is a point on the line
(y- -3) =-1/4(x-8)
y+3 = -1/4(x-8)
True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9?
Answer:
false and 8 hours and 55 min
Step-by-step explanation:
Answer:
false. 8.9 in the scenario would be 9 hours and 30 minutes
Step-by-step explanation:
using decimals is not an accurate way to measure time.
if it was used, 8.9 would be 8 hours and 90 minutes. However, there are only 60 minutes in an hour, so 8.9 would translate to 9 hours and 30 minutes.
Find the two square roots of 121 (write answer using the word “and” to separate them)
Answer:
11 and 11
Step-by-step explanation:
brainliest^:)
Answer:
11 i do not think there is a 2nd one unless 1
Step-by-step explanation:
The only one I could think of because It is the positive solution of the equation x to the 2nd power = 121. The number 121 is a perfect square. 1.
For extra fun, groups of student in a class are tasked to create algebraic expression to satisfy the measures of the angles of their triangular picture frame project. If the measure of the angles are as follows:m∠A = 5x - 3, m∠C = 2x + 5, m∠E = 3x - 2, arrange the sides of the frame in increasing order.
don't spam!!
Answer:
Step-by-step explanation:
Sum of all angles of the triangle = 180
∠A + ∠C + ∠E = 180
5x - 3 + 2x +5 + 3x -2 = 180
Combine like terms
5x + 2x + 3x - 3 + 5 - 2 = 180
10x + 0 = 180
10x = 180
Divide both sides by 10
x = 180/10
x = 18
∠A = 5x - 3 = 5*18 - 3 = 90 - 3 = 87
∠C = 2x +5 = 2*18 + 5 = 36 + 5 = 41
∠E = 3x - 2 = 3*18 - 2 = 54 - 2 = 52
Side opposite to smallest angle is small
∠C is smallest. So, AE is smallest side
Next smallest is ∠E. So, AC is the next side
AE < AC < CE
A 15-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours since the candle was lit, and uppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f f(t)- [Preview] syntax error #
b. What is the domain of f relative to this contex? Enter your answer as an interval. # Preview, no answer given
c. What is the range of f relative to this context? Enter your answer as an interval *Preview no answer given
d. Solve f(t) 3.6 for it. 算 Preview
e. What does your solution in part (d) represent in this context? Select all that apply. The length of the candle (in inches) 3.6 hours after it was lit. How many bhous since the candle was lir wen i is36 mches loe OHow long it takes for the candle to burn out.
Answer:
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 \le t \le 12.5[/tex]
[tex]15 \ge f(t)t \ge 0[/tex]
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- candle length
[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
[tex]f(t) = a + rt[/tex]
So, we have:
[tex]f(t) = 15 + -1.2 * t[/tex]
[tex]f(t) = 15 -1.2t[/tex]
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 = 15 - 1.2t[/tex]
Collect like terms.
[tex]1.2t = 15[/tex]
Solve for t
[tex]t = 15/1,2[/tex]
[tex]t = 12.5[/tex]
Hence, the domain is: [tex]0 \le t \le 12.5[/tex]
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]
Solving (d): [tex]f(t) = 3.6[/tex]
Recall that:[tex]f(t) = 15 -1.2t[/tex]
Sp, we have
[tex]15 - 1.2t - 3.6[/tex]
Collect like terms
[tex]12t =15 -3.6[/tex]
[tex]12t =11.4[/tex]
Divide by 12
[tex]t =0.95[/tex]
I’ll give brainliest
Answer:
1.5
Step-by-step explanation:
The constant of proportionality is the slope
m= (y2-y1)/(x2-x1)
Pick any two points
m = (12-6)/(8-4)
= 6/4
= 3/2
= 1.5
m = (12-6)/(8-4)
→ 6/4
→ 3/2
→ 1.5
The required answer is 1.5.
1 N 3 4 5 6 7 00 9 10 The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in m 0.05 miles per hour 0.2 miles per hour 0.5 miles per hour O 2 miles per hour
Step-by-step explanation:
1 mile=5280 feet
0.5 mile=2640 feet.
The fastest that a seahorse can travel is 2,640 feet per hour. The top speed in miles per hour is 0.5 miles per hour.Can be also.
If the answer is correct plz mark me as brainliest.
The mean salary at a local industrial plant is $26,500 with a standard deviation of $5000. The median salary is $27,200 and the 57th percentile is $30,400. Based on the given information, determine if the following statements are true or false.
a. Approximately 7% of the salaries are between $26,500 and $30,400.
b. The percentile rank of $25,400 is 50.
Answer:
a. False.
b. False.
Step-by-step explanation:
Statement a:
The median salary is $27,200 and the 57th percentile is $30,400.
Thus, 57-50 = 7% of the salaries are between $27,200 and $30,400, that is, not between $26,500 and $30,400, and thus, statement a is false.
b. The percentile rank of $25,400 is 50.
The median salary is $27,200, and thus, the percentile rank of $27,200 is 50, and the percentile rank of $25,400 is less than 50, and this statement is false.
Explain and help please
Answer:
Step-by-step explanation:
The Bible uses this same value for pi. Just an irrelevant fact to add to your list of such facts.
pi is about 3
r = 3
C = 2 pi * r
C = 2 * 3 * 3
C = 18
Answer:
The circumference of circle is 18.
Step-by-step explanation:
Given :-
Radius of circle is 3.Value of π is also 3.To Find :-
Circumference of circleFormula Used :-
Circumference of circle = 2 π rWhere,
r, is the radius of circle.
Solution :-
Using Formula
Circumference of circle = 2 π r
substitute the values
Circumference of circle = 2 × 3 × 3
multiply the values
Circumference of circle = 18
Hence, the circumference of circle is 18.
Please hurry I’ll give brainliest
three factors of 24 which have a sum of more than 37 and less then 40
Answer:
8, 6, 24 because 8+6+24=38
Answer:
24+12+2=38
Step-by-step explanation: