4374
Step-by-step explanation:
We are multiplying by 3 each time
2*3 = 6
6*3 =18
18*3 = 54
The formula is
an = 2 * 3^(n-1) where n is the term number
a8 = 2 * 3^(8-1)
a8 = 2 * 3^7
a8 = 2*2187
a8 = 4374
Answer:
4374
Step-by-step explanation:
First term, a =2
Common ratio, r = 3
nth term = a.r^(n-1)
where , n is the number of terms
8th term = 2.(3)^(8–1)
=2(2187)
=4374
⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
what is the surface area of this drawing
Answer:
should be 512 inches because l x w x h (8x8x8) is 512
Who is correct Jared or Jim?
Answer:
b) Jim
Step-by-step explanation:
Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.
__
Jim is correct that he needs more information.
7 whole number 2/3 -4 5/6 + 2 3/8
Which of the following is a simpler way to write startfraction cosine theta over sine theta endfraction? tan theta sec theta csc theta cot theta
The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.
We have the expression:
[tex]\rm \frac{cos \theta}{sin \theta}[/tex]
we know that
[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]
also,
[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]
So, By using these trigonometry formulas, we get:
[tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex] is cot [tex]\theta[/tex].
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Answer:
D. cot 0
Step-by-step explanation:
Find the length of the midline KH in Trapezoid SQUAD.
[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]
use the midpoint formula to find the coordinates of points K and H[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]
[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]
b. use the distance for mula to find the length of KH[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]
[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]
[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]
[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]
[tex] \sf \: kh = \frac{a + b}{2} [/tex]
Final Answer[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]
Three metallic tanks have the capacities of 447 litres, 577 litresand 669 litres. Find the capacity of the largest container that can fill the tanks an exact number of times, leaving a remainder of 7 litres, 5 litres and 9 litres respectively. (3 marks)
Answer:
44 litres
Step-by-step explanation:
We subtract the remainders from the amounts.
447 - 7 = 440
577 - 5 = 572
669 - 9 = 660
Now we need the GCF of 440, 572, 660
440 = 2³ × 5 × 11
572 = 2² × 11 × 13
660 = 2² × 3 × 5 × 11
GCF = 2² × 11 = 44
The greatest common factor is 44.
Answer: 44
Check:
447/44 = 10 reminder 7
577/44 = 13 remainder 5
669/44 = 15 remainder 9
Please help, I need it soon.
What is the experimental probability of rolling a number less than 4?
A: 1/2
B: 16/33
C: 1/22 D: 17/33
what is the answer?
HELP
Answer:
A. 1/2
Step-by-step explanation:
For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.
Therefore, the experimental probability of rolling a number less than 4 is 1/2.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
mode = 6
range = 7
Step-by-step explanation:
To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Please Help Me I Don’t Understand
write an algebraic expression
Answer:
find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?
The product of two integers is 72.
If one integer is 9 what is the other integer?
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8
sinxcscx - cos^2x = sin^2x Verify it pls explain how so i know how to do it
Step-by-step explanation:
sin(x)×csc(x) - cos²(x) = sin²(x)
csc(x) = 1/sin(x) (basic definition)
therefore,
sin(x)×csc(x) = sin(x) × 1/sin(x) = 1
1 - cos²(x) = sin²(x)
1 = sin²(x) + cos²(x)
and that is again a basic definition based on the standard circle with radius = 1. there we have the Pythagoras principle, as sin and cos are the legs of a right-angled triangle, with radius 1 being the Hypotenuse.
help me plsssssssssssaaaa
Answer:
the area would be 11/6 yards^2
or 1 5/6 yards^2 or 1.8333333...yards^2
Step-by-step explanation:
turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify
Step-by-step explanation:
Turn 2 3/4 into an improper fraction
11/4
Multiply both fractions
2/3 × 11/4 = 22/12
Simplified is 11/6 (you divide 22/12 by 2)
In degrees what is the measure of MFE
There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.
Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.
x + 6 + 3x - 4 = 90
Add the x's.
4x + 6 - 4 = 90
Combine the 6 and 4.
4x + 2 = 90
Subtract the two on both sides.
4x = 88
Finally, divide by 4.
x = 22
But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)
22 + 6 is the new equation.
22 + 6 = 28
Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because
62 + 28 = 90
I hope this answers your question.
-Toremi
4. A jeep can travel 356 miles in 6 hours, and a truck can travel 221 miles in 3.5 hours. What is the unit rate of the faster vehicle? Round your answer to the nearest hundredth.
Answer:
63.14
Step-by-step explanation:
in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so
sorry to say this but kinda not that sure apologies if am wrong
what are the features of the function f(x) = 2^x -1 graphed below
I believe it's right two down one
Standing at a trailhead, you look up at a 54° angle and see your friend's cell phone reflecting the sun. You know that she is at the top of the 1200-foot cliff and you call her to say you'll meet her at the bottom of the cliff. How many feet will you have to walk to meet? Round to the nearest tenth.
Answer:
871.9 feet,
Step-by-step explanation:
tan 54 = 1200/ x where x is the distance you have to walk.
x = 1200 / tan54
= 871.85
PLEASE HELP
Find the length of the missing side of a right triangle if a=6 & c=11
rad85
rad157
rad5
rad17
A doctor wants to estimate the difference in mean healing time of Achilles tendon injuries among those who have major and minor strains. The doctor selects a random sample of 5 patients who had major strains and 8 patients who had minor strains and recorded the healing time, in weeks. Here are the data: Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 Assume the length of healing time for both major and minor Achilles injuries is nearly Normal. Using a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time for these two injuries. Enter the values to 3 decimal places. (, )
Answer: 1.406, 5.369
Step-by-step explanation:
edg22
When you use a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time will be 1.406, 5.369.
What is a Graphing Calculator?A graphing calculator is known to be a kind of handheld computing device that is used for plotting of graphs, handling simultaneous equations, etc.
Note that by inputting those numbers such as Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 , following the right equation on the graphing calculator, one can be able to construct a 95% confidence interval for μMajor – μMinor = and the the true difference in the mean healing time will be found to be 1.406, 5.369.
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i’m confused on this and i just moved from schools so
Answer:
(-2,3)
Step-by-step explanation:
The point where two lines cross should be your answer!!!
(-2,3) is where the two lines meet/cross!!
That is the definition of a system on a graph!
-Where two lines meet/cross!!
x over 6 space equals space 10 over 12 ; x
Let's break this problem down in a few steps
x over 6 ⇒ x divided by 6 ⇒ [tex]\frac{x}{6}[/tex]10 over 12 ⇒ 10 divided by 12 = [tex]\frac{10}{12}=\frac{2*5}{2*6} =\frac{5}{6}[/tex]Since these two fractions are equal to each other, let's solve for x
[tex]\frac{x}{6}=\frac{5}{6} \\6x=30\\x = 5[/tex]
Thus x = 5
Hope that helps!
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Convert to an expression
x over 6 equals 10 over 12
[tex]\frac{x}{6}=\frac{10}{12}[/tex]
Step 2: Cross multiply
[tex](x * 12) = (6 * 10)[/tex]
[tex]12x = 60[/tex]
Step 3: Divide both sides by 12
[tex]\frac{12x}{12} = \frac{60}{12}[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
Frazer scores 70% in a spelling test. If there are 40 spellings, how many did he get right?
The number of the correct spellings is 28.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Frazer scores 70% on a spelling test. If there are 40 spellings,The number of the spellings are:-
N = 40 x 70% = 28
N = 40 x (70/100) = 28
Therefore the number of the correct spellings is 28.
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Mathematics question please help (image)
Answer:
I think the answer is twenve
The complete product is:
3 x 2/3 + 1/5 x 2/332/152 2/15.What is Fraction?Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.
The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.The numerator specifies how many fractional parts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.As, the length of the painted area is 3 1/5 and width of the painted area is 2/3.
So, multiplication of length and width is as follows:
3 1/5 x 2/3
= 3 x 2/3 + 1/5 x 2/3
= 6/3 + 2 / 15
= 30 + 2 / 15
= 32/ 15
= 2 2/15
Thus, the required fraction is 2 2/15.
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What are the answers for these questions
Answer:
4 = 151.70
5a=75.85
Step-by-step explanation:
what does the length equal?
Answer:
23.2 inches
Step-by-step explanation:
[tex]2(3 \sqrt{15} ) = 6 \sqrt{15} = 23.24 [/tex]
What’s the answer I need help asap
Answer:
The equation is y = x-2
The equation of the line will be y = x - 2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table consider the two points as,
( 14, 12 )
( 13, 11 )
The slope is calculated as,
[tex]m = \dfrac{12 - 14}{11-13}[/tex]
m = 1
The y-intercept is calculated as,
y = mx + c
y = x + c
12 = 14 + c
c = -2
The equation of the line can be written as,
y = mx + c
y = x - 2
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A rectangle has a width of 8 inches. The perimeter of the rectangle is 40inches. What is the length of the rectangle, in inches?
Show the formula please and work plus answer thank you
Answer:
12
Step-by-step explanation:
You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).
find a, b, and c please and thank u
Is the triangle shown below a right triangle?
No, not a right-angle triangle
The 3.5 should be 3.3 instead
Hope this helps!
Answer:
no ,left
Step-by-step explanation: