Answer:
[tex]a_{n}[/tex] = 16 - 7n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , then
[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n
When the numbers 0.04, 0.40, 0.043 are arranged in order, which is the middle number?
Pls be quick
Answer:
0.043
Step-by-step explanation:
arranging in ascending order
0.04,0.043,0.40
or they are 0.040,0.043,0.400
so middle term is 0.043
Given :
the numbers are 0.04, 0.40, 0.043
Arrange the given decimal numbers in ascending order
smallest number is 0.04
So the order of given decimal numbers are
0.04, 0.043 , 0.40
From this we can see that the middle number is 0.043
So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043
Learn more : brainly.com/question/21106706
Simplify 7^ -5/6 x 7^-7/6
Answer:
1/49
Step-by-step explanation:
If you add this is the calculator, I think it will come out.
━━━━━━━☆☆━━━━━━━
▹ Answer
1/49
▹ Step-by-Step Explanation
7^-5/6 * 7^-7/6
= 1/7²
= 1/49
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
A. Find x
B. Find the measure of angle b
C. Find the measure of angle c
Answer:
3, 50 and 70
Step-by-step explanation:
Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3
B=15x+5=50
C=22x+4=70
Use the distributive property to write an expression that is equivalent to 1/2 (8y - x - 12).
Answer:
4y - 0.5x - 6
Step-by-step explanation:
1/2 (8y - x - 12)
= (8y * [1/2]) - (x * [1/2]) - (12 * [1/2])
= (8y/2) - (x/2) - (12/2)
= 4y - 0.5x - 6
Tell me if I got it wrong! Hope this helps!
Answer:
4y+1/2x+6
Step-by-step explanation:
uh nvm someone already answered my bad
Express 2.99 x 108 m/s (the speed of light) in decimal notation (i.e., express the number without using scientific notation).
options:
2,990,000,000
299,000,000
Answer:
Step-by-step explanation:
I think you mean 2.99×10^8, not 2.99×108.
2.99×10⁸ meters per second = 299,000,000 meters per second
Maria cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of fabric did she cut?
Answer:
2.5 Yards
Step-by-step explanation:
Multiply 5/8 by 4
what is the range and domian of y=(x-4)
In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001
D) in the question
1002, 3001
Answer:
a) 503 b) 307 c) 56789 D) 1002
Step-by-step explanation:
Numbering starts from the left hand side and are arranged in ascending order.
A) (530, 503)
503 < 530
503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.
B.) (370, 307)
370 > 307
307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.
C.) (98765, 56789)
98765 > 56789
56789 will appear on the leftside of 98765 when both number are illustrated on a number line.
D.) 1002 < 3001
1002 will appear on the leftside of 98765 when both number are illustrated on a number line.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A5cm x 11 cm rectangle sits inside a circle with radius of 12 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
5 cm
12 cm
11 cm
cm?
PLS HELP ME FOR 17 POINTS
Answer:
397.16 cm²
Step-by-step explanation:
Area of the circle = πr²
3.14 * 144 = 452.16
452.16 - (11 x 5 ) = area shaded region
452.16 - 55 = 397.16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled. Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer. What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters? Choose 1 answer: Choose 1 answer: (Choice A) A 30-\dfrac{100}{1000}\cdot 12030− 1000 100 ⋅12030, minus, start fraction, 100, divided by, 1000, end fraction, dot, 120 (Choice B) B 30\cdot 1000-100\cdot 12030⋅1000−100⋅12030, dot, 1000, minus, 100, dot, 120 (Choice C) C \dfrac{30}{1000}-100\cdot 120 1000 30 −100⋅120start fraction, 30, divided by, 1000, end fraction, minus, 100, dot, 120 (Choice D) D 30-100\cdot 1000\cdot 12030−100⋅1000⋅120
Answer:
30-100/1000*120
Step-by-step explanation:
Source: Khan Academy
Answer:
30 - 100/1000 x 120
Step-by-step explanation:
help8b2 • 2b3 a) 16b-2 ,b) 16b6 ,c) 16b-4 ,d) 16b5
Answer:
16b^5
Step-by-step explanation:
8b^2×2b^3
= 16b^2+3
= 16b^5
Answer:
D)16b5
Step-by-step explanation:
8b2×2b3
= 16b2+3
= 16b5
what is an equivalent expression for 3a + 5 ?
Answer:
Equivalent expression:
6a + 10
or
9a + 15
If BC = 15, BE = 6, DC = 12, and AD = 8,
then segment DE is parallel to segment
AB.
Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so she does not overlap any of the edges. How much paper did it take to cover the gift? cm2\text{cm}^2cm2start text, c, m, end text, squared
Answer:
It will take Shanti 150 square inches of paper to wrap the gifts
Step-by-step explanation:
Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.
How much paper did it take to cover the gift?
Solution
To solve this, you will find the surface area of a cube
Surface area of a cube = 6a^2
Where,
a=side length of the cube
a= 5 in
a^2=a × a
=5 × 5
=25 in^2
a^2=25 in^2
Surface area of a cube = 6a^2
=6 × 25 in^2
=150 in^2
It will take Shanti 150 square inches of paper to wrap the gifts
Answer:
1014
Step-by-step explanation:
I took the test i know
How many pounds is 7 tons
Answer:
14000 pounds :)
Step-by-step explanation:
Answer:
14000 pounds
Step-by-step explanation:
Formula:
multiply the mass value by 2000
What is 7.3482 rounded to 2, 3 and 4 significant figures?
2 figures - 7.3
3 figures - 7.35
4 figures - 7.348
x^{2m+n} * x^{n-m} / x^{m+2n}
Answer:
=x
Step-by-step explanation:
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
[tex]x^{2m+n} * x^{n-m} / x^{m+2n}[/tex]
When bases are same for exponents in division, subtract exponents.
[tex]x^{2m+n} * x^{n-m-(m+2n)}[/tex]
[tex]x^{2m+n} * x^{n-m-m-2n}[/tex]
[tex]x^{2m+n} * x^{-n-2m}[/tex]
When bases are same for exponents in multiplication, add exponents.
[tex]x^{2m+n+-n-2m}[/tex]
[tex]x^{2m+0-2m}[/tex]
[tex]x^0[/tex]
Any base with power or exponent of 0 is 1.
[tex]x^{0}=1[/tex]
Use the rule "add 2" to create a sequence of 5 numbers starting with 8.
Answer:
8 10 12 14 16
Step-by-step explanation:
8+2=10, 10+2=12, 12+2=14, 14+2=16
Convert 1.2 radians to an
angle in degrees
Answer:
Below
Step-by-step explanation:
Let x be the measure in degrees
● x/180 = 1.2/Pi
Cross multiply the values
● x*Pi = 180×1.2
● x = 216/Pi
Take Pi = 3.14
● x = 68.78 wich is approximatively 69°
Which is greater than 4? (a) 5, (b) -5, ...
Answer:
(a) 5
Step-by-step explanation:
5 is geater than 4
4 is greater than -5
If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side
Answer:
7
Step-by-step explanation:
Let the each leg be x so,
√(x²+x²)=√98
or, √(2x²)=√98
or, x√2=7√2
or, x=7
Julio is paid 1.3 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 42 hours and earned $548.13. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.
Step-by-step explanation:
Answer:
$12.10 / hour
Step-by-step explanation:
42 - 31 =
1.3(11)r + 31r = 548.13
14.3r + 31r = 548.13
45.3r = 548.13
r = 12.1 / hour
Use the discriminant to determine the number of real solutions to the equation,
10n^2 = 10 - 8n
Answer:
2 real solutions
Step-by-step explanation:
Get all the terms to one side
10n^2 = 10 - 8n
10n^2 +8n -10 =0
ax^2 +bx+c =0
The discriminant is
b^2 -4ac
8^2 - 4(10)(-10)
64 +400
464
If the discriminant is greater than 0 we have 2 real solutions
What is the correct answer!
Answer:
The answer is B.
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:
a) parallel
b) perpendicular
Answer:
a) a=-12
b) a=27
Step-by-step explanation:
a) parallel lines have = slopes SO
-3/2 = -3/2
-3/2 = 18/a
-3a/2 = 18
-3a = 18 * 2 = 36
a = -12
b) perpendicular lines have negative inverse slopes SO
- 3/2 ---> 2/3
2/3 = 18/a
2a/3 = 18
2a = 18 * 3 = 54
a = 54/2 = 27
X
5x – 3y = -20
4x + 5y = -2
Answer:
x=-106/37
y=70/37
Step-by-step explanation:
I chose to set up the problem as a matrix to solve here.
(Another way to do this would be to isolate one variable in one of the equations, substitute it into the other equation, solve for that, and then plug it back in to get the final variable.)
My work is in the attachment. Lmk if you have any questions.
Answer:
[tex]\huge\boxed{\left\{\begin{array}{ccc}x=-\dfrac{106}{37}\\y=\dfrac{70}{37}\end{array}\right}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}5x-3y=-20&\text{multiply both sides by 5}\\4x+5y=-2&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}25x-15y=-100\\12x+15y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad37x=-106\qquad\text{divide both sides by 37}\\.\qquad\boxed{x=-\dfrac{106}{37}}[/tex]
[tex]\text{Substitute it to the first equation}\\\\5\left(-\dfrac{106}{37}\right)-3y=-20\\\\-\dfrac{530}{37}-3y=-20\qquad\text{multiply both sides by (-37)}\\\\(-37\!\!\!\!\!\diagup)\left(-\dfrac{530}{37\!\!\!\!\!\diagup}\right)-(-37)(3y)=(-37)(-20)\\\\530+111y=740\qquad\text{subtract 530 from both sides}\\\\111y=210\qquad\text{divide both sides by 111}\\\\y=\dfrac{210}{111}\\\\y=\dfrac{210:3}{111:3}\\\\\boxed{y=\dfrac{70}{37}}[/tex]
If 3.7 inches of rain fall on Seattle during the first four days of December and the rain continues to fall at this pace for the rest of the month approximately how many feet of rain will fall during December
Answer:
28.675 inches
Step-by-step explanation:
If 3.7 inches of rain has been poured in the four days. Then the rate of rain fallen in one day = 3.7/4 .
For the the amount of rain poured in December.
Simply multiply the rate*days=rain amount poured.
So,
Amount Of Rain In December= (3.7/4)*31 = 28.675 inches.
It is approximately 29inches.
I hope that helps.
Julie wants to make 800 g of a 15% alcohol solution by mixing a
20% solution and a 4% solution. How many grams of each kind
does she need?
Answer:
x =550
y=250
Step-by-step explanation:
.2x + .04y = 120
x + y = 800
7 - 9 + (9 - 5)^2-4x 6/-6+8-3x10? Can y'all help me? I know I just asked but I'm really bad at math!!!!
Answer:
7 - 9 + (9 - 5)^2 - 4 (-6/6) + 8 - 3×10
-4