Step-by-step explanation:
Hi there!
According to the question;
nth term (tn) = 3n+8
a).
T1 = 3*1+8
= 11
b).
t7 = 3*7+8
= 29
c).
t14 = 3*14+8
= 50
Therefore, t1 = 11, t7 = 29, t14 = 50.
Hope it helps!
Answer:
11, 29, 50
Step-by-step explanation:
To find the appropriate term , substitute the term number into the rule, that is
(a) t₁ = 3(1) + 8 = 3 + 8 = 11
(b) t₇ = 3(7) + 8 = 21 + 8 = 29
(c) t₁₄ = 3(14) + 8 = 42 + 8 = 50
Two rectangles are similar. The smaller has a length of 8 cm and an area of 40 cm.
If the width of the larger rectangle is 10 cm, find its area.
Answer:
160 cm²
Step-by-step explanation:
If the two rectangles are similar, that means they have equal scale factors. The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.
The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle. So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.
Now, just find the area of the larger rectangle by doing length x width. 16cm x 10 cm = 160 cm²
Answer:
160 cm^2
Step-by-step explanation:
Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."
We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into
A = lw
we get
40 = 8w
w = 5
when we divide both sides by 8.
Because of equal proportions:
Width : length of the smaller rectangle = Width : length of the larger rectangle
We can write an equation
5 / 8 = 10 / x
Cross multiply
5x = 80
x = 16
So the larger rectangle has a length of 16 cm and a width of 10 cm (given)
meaning the area is
16 * 10 = 160 cm^2
-0.2917 rounded to the nearest hundredth.
Answer: -0.29
Step-by-step explanation:
urgent help needed fast
Answer:
Below
Step-by-step explanation:
You can use this formula to find the sum of an arithmetic series
Sn = n / 2 (a1 + an)
You need to find the number of terms in each series before using the formula
Tn = a + (n - 1) d
a) 53 = 5 + (n - 1) 3
n = 17
Sn = 17 / 2 (5 + 53)
= 493
b) 98 = 7 + (n - 1) 7
n = 14
Sn = 14 / 2 (7 + 98)
= 735
c) -102 = 8 + (n - 1) -5
n = 23
Sn = 23 / 2 (8 + (-102))
= - 1081
d) 41/3 = 2/3 + (n - 1) 1
n = 14
Sn = 14 / 2 (2/3 + 41/3)
= 301 / 3 or 100 1/3
Hope this helped! Best of luck <3
Please walk me through how to solve these problems. If you can only solve one that’s fine, I just don’t know where to start. (This is geometry)
Answer:
5,-0.5 is the answer to the fist one
Step-by-step explanation:
they want you to give the middle point of the line segment when you have graphed the two end points,... find the coordinates of the point the would be in the middle,... Best of luck,... Chow
2a + 9 = 4 then a = _______
Answer:
[tex]a=\frac{-5}{2}[/tex]
Step-by-step explanation:
[tex]2a+9=4[/tex]
[tex]2a=4-9[/tex]
[tex]2a=-5[/tex]
[tex]a=\frac{-5}{2}[/tex]
16. Which situation can be represented by y = 60x – 20?
A. The time remaining in minutes, y, for x hours after 20 minutes have past.
B. The cost, y, of buying x pairs of jeans for $60 with a 20% off coupon.
C. The cost, y, after buying raffle tickets for $40 each.
D. The number of seconds, y, in an x minute commercial if you skip the first 20 minutes.
Answer:
A is the right answer. so right it
3. You have 3 consecutive numbers, with the smallest number n.
a) What are the 7 numbers in the term of n?
b) Hence what is the sum of all the numbers?
( plz write down a step by step explanation ).
in a class 1/6 of a children are girls there are five girls in the class how many boys are there in the class
The population of a municipality before 2 years was 60,000 and the rate of annual growth of population is 2%. If the numbers of in-migrants and out-migrants at the end of 2 years were 750 and 410 respectively and 620 people died within this time interval, find the present population of the municipality.
Answer:
62,144
Step-by-step explanation:
60,000 x (1 + 2%)^2 : growth in 2 years
+ 750: in migrants
- 410: out migrants
- 620: died
Answer:
62,144
Step-by-step explanation:
[tex]60,000 \times (1 + 2\%)^{2} [/tex]
➡️ [tex] = 62,424[/tex]
In-migrants:
➡️ [tex]750 - 410 = 340[/tex]
now:
[tex]62,424 + 340 - 620[/tex]
➡️ [tex] = 62,144[/tex]
So, the present of the municipality is 62,144
i need help with my math please
Answer:
x is equal to 6√3
Step-by-step explanation:
[tex] - \frac{2}{3} \sqrt{5} . \: { \boxed{x}}. \: \sqrt{7} = - 4 \sqrt{105} \\ \\ - \frac{2}{3} \sqrt{5} .{ \boxed{x}}. \sqrt{7} = - 4( \sqrt{3} \times \sqrt{5} \times \sqrt{7} ) \\ \\ - \frac{2}{3} x = - 4 \sqrt{3} \\ \\ x = \frac{12 \sqrt{3} }{2} \\ \\ x = 6 \sqrt{3} [/tex]
-1/2x3/5 divided by (-51/40)
plz help me simplify this
-4/17
Step-by-step explanation:
-1/2×3/5÷-51/40
= -1/2×3/5×40/51
=-4/17
if (a+3,b-2=b-1,2a-3 then find the value of A and B
Answer:
a=5 and b=9
Step-by-step explanation:
(x, y) = (s, t) => x=s and y=t
Hence, a+3=b-1 and b-2=2a-3, solving we get a=5 and b=9
Evaluate 6a-b^2/2 + (b/a)^2 if a = 2 and b = 4.
2
6
10.25
36
[tex] \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} [/tex]
a=2 b=4
[tex] \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} [/tex]
[tex] \frac{12 - 16}{2} + \frac{16}{4} [/tex]
[tex] \frac{ - 4}{2} + 4 [/tex]
[tex] - 2 + 4 = 2[/tex]
answer is option a 2
please mark this answer as brainlist
Solution of equation??
Answer:
[tex] \frac{3p}{5} - 15 = 3 \\ 3p - 15 = 15 \\ 3p = 15 + 15 \\ 3p = 30 \\ p = 10[/tex]
What is the value of 20 - (3 × 23 - 5)?
A
-191
B
1
C
11
D
131
Answer:
20 - (3 × 23 - 5) = 20 - (69 - 5) =20 - 64 =- 44Note.
The answer options are not matching the question. Something is wrong with the question.
[tex]\huge\boxed{\frak{Hey\ there!}}[/tex]
[tex]\huge\boxed{\frak{20 - (3\times23-5)}}\\\\\huge\boxed{\frak{3\times23 \rightarrow 69}}\\\\\huge\boxed{\frak{= 20 - (69 - 5)}}\\\\\huge\boxed{\frak{69 - 5 \rightarrow 64}}\\\\\huge\boxed{\frak{= 20 - 64}}\\\\\huge\boxed{\rightarrow\frak{-44}}\\\\\\\boxed{\frak{Answer: -44}}\huge\checkmark\\\boxed{\rm{\star \ None\ of\ the\ above\ }\star}[/tex]
[tex]\frak{Good \ luck \ on \ your \ assignment \ and \ enjoy\ your \ day!}\\\\\\\\\frak{Amphitrite1040}[/tex]
The ratio of the radius or diameter or circumference of a circle to its diameter or radius or circumference is approximately 3.14.
Answer:
the question is?
Step-by-step explanation:
The first and second term of a linear sequence (A.p) are 3 and 8 respectively. Determine the least number of terms of the A.P that must be added so that the sum is greater than 250.
We are to find the number of terms in the AP that has a sum greater than 250
The number of teams in the AP which has a sum greater than 250 is at least 11 terms
First term, a = 3
second term, a + d = 8
so
common difference, d = 8-3
= 5
let
n = number of terms in the AP
The sum of n terms is 250
Sum = n/2{2a + (n - 1)d}
250 = n/2{2*3 + (n-1)5 }
250 = n/2{6 + 5n - 5}
250 = n/2(1 + 5n)
500 = n + 5n²
5n² + n - 500 = 0
Solve quadratically using formula
n = -b ± √b² - 4ac / 2a
= -1 ± √1² - 4(5)(-500) / 2(5)
= -1 ± √1 - (-10000) / 10
= -1 ± √1 + 10000 / 10
= -1 ± √10001 / 10
= -1 + √10001 / 10 or -1 - √10001 / 10
= -1/10 + √10001/10
or
-1/10 - √10001 / 20
= 9.9005 or -10.1005
The value of n must be positive and a whole value
Therefore,
n = 9.9005
Approximately, n = 10
The number of teams in the AP which has a sum greater than 250 is at least 11 terms
Read more:
https://brainly.com/question/24321873
1) The endpoints of FCare (-2,-4 and G(1,0). Find the length of FG-
Answer:
it is [tex]5[/tex]
-2/9n + 14 = 6
What is this question simplified?
-2/9 n= - 8
2n = 72
N=36
Jdbzjdjdndkdkjdd
Answer:
[tex]n = \frac{1}{36} [/tex]
Step-by-step explanation:
[tex] \frac{ - 2}{9n} + 14 = 6[/tex]
[tex] - \frac{ 2}{9n} + 14 = 6[/tex]
[tex] - \frac{2}{9n} = 6 - 14[/tex]
[tex] - \frac{2}{9n} = - 8[/tex]
[tex]2 = 72n[/tex]
[tex]n = \frac{1}{36} [/tex]
7. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in Fig. 8.17. How much paper of each shade has been used in it?
Answer:
Step-by-step explanation:
diagonal = 32 cm
Area of square = [tex]\dfrac{d^{2}}{2}[/tex]
[tex]=\dfrac{32*32}{2}\\\\=512 \ cm^{2}[/tex]
Diagonal separate the square into two equal triangles.
Area of upper triangle that is shaded black = area of lower triangle = 512/2
= 256 cm²
Isosceles triangle:
a = 6 cm ; b = 6 cm c = 8cm
[tex]s = \dfrac{a+b+c}{2}\\\\=\dfrac{6+6+8}{2}\\\\=\dfrac{20}{2}\\\\=10\\\\s-a = 10 - 6 = 4 \ cm\\\\s-b = 10-6 = 4 \ cm\\\\c - c = 10 - 8 = 2 \ cm\\\\Area = \sqrt{s*(s-a)(s-b)(s-c)}\\\\=\sqrt{10*4*4*2}\\\\=\sqrt{2 * 2 * 4 * 4 * 5}\\\\=4*2\sqrt{5}\\\\=8\sqrt{5}\\\\=8*2.24\\\\=17.92 \ cm^{2}[/tex]
Area of black shade paper = 256 + 17.92 = 273.92 cm²
Area of white shade paper = 256 cm²
Area of the isosceles triangle = s(s-a)(s-b)(s-c)
hey please help where it says the > thing it says fives, eights, threes
Answer:
[tex]8 \\ = 40 + 24 \\ = 64[/tex]
I hope I helped you^_^
Answer:
[tex]8 \times 8 = 5eights + 3eight \\ 8 \times 8 = 40 + 24 \\ 8 \times 8 = 64 \\ thank \: you[/tex]
l.c.m of 84 ,27,35,45
please help
Answer:
3780
Step-by-step explanation:
84 = 2^2 * 3 * 7
27 = 3^3
35 = 5 * 7
45 = 3^2 * 5
lcm = 2^2 * 3^3 * 5 * 7 = 3780
Find the slope of the line going through the points (-10,0)
and (4,0)
Answer:
0
Step-by-step explanation:
To find the slope, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (0-0)/(4- -10)
= (0-0)/(4+10)
= 0/14
=0
Which is the domain of the function f(x) = -5/6(3/5)^x
= ?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
Answer:
all the real numbers greater then 0
With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more homeruns per week than Lisa?
Answer:
31/4
= 7.75
So Mark has to average more than 7.75 homeruns per week.
Step-by-step explanation:
Mark me as brainliest.
1. Give an example of a whole number that is not a natural number
2. Give an example of a rational number that is not a whole number.
3. Give an example of a real number that is irrational.
4. Are integers always/sometimes/never whole numbers?
5. Are natural numbers always/sometimes/never rational numbers?
6. Are irrational numbers always/sometimes/never rational numbers?
Glas
Answer:
2
Step-by-step explanation:
Write the following as an algebraic expression;
a) Half the sum of X and y
b) Half the cube of X subtracted from y
Answer:
1/2(x + y)
Step-by-step explanation:
The sum of x and y is x + y
1/2 the sum of x + y is 1/2(x + y)
1/2 x^3
This is subtracted from y
y - 1/2 x^3
1. The quotient of a number and 6 is 12.
Answer:
2 is your answer
Step-by-step explanation:
6x2=12
Answer:
72
Step-by-step explanation:
[tex] \frac{x}{6} = 12 \\ x = 12 \times 6 \\ x = 72[/tex]
Write the value of each expression in standard form. Expression Standard Forr 2hundres×10 in standard form
reflect point (-3,1) in the line y=5
Answer:
6 (4757)
Step-by-step explanation: