Answer:
-270,810
Step-by-step explanation:
c.r. r=-30/-10=3
[tex]a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810[/tex]
2 2/7 multiplied by 5 1/6
Answer:
11 17/21
Step-by-step explanation:
Answer:
11 17/21
Step-by-step explanation:hope i helped
From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Here is the set up:
Let h = balloon's vertical distance.
sin(40°) = h/1165
sin(40°)(1165) = h
748.847565
748.85 feet = h
Done.
The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
From a hot-air balloon,
Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.
Let h be the vertical distance.
Use tanθ = perpendicular / base
Here, perpendicular = 1165 feet and base = h and θ = 40°
Substituting the values,
tanθ = perpendicular / base
tan40° = 1165 / h
h = 1165 / tan40
h = 1165 / 0.839095
h = 1388.40059 feet.
h ≈ 1388.40 feet to the nearest hundredth.
Therefore, vertical distance is 1388.40 feet
To learn more about the division;
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How do you multiply a fraction and a whole number? Please explain step by step to get marked as brainliest!
Answer: 1 1/2 x 4 4/7
= 3/2 x 32/7
= 96/14
Step-by-step explanation:
1. Write the whole number as a fraction with a denominator of 1.
2. Multiply the numerators.
3. Multiply the denominators
4. Simplify. If needed, if your answer is greater than 1, you may want to write your answer as a mixed number.
please help
meeeeeeeeeeeeeeee
Answer:
C 43
Step-by-step explanation:
happy holidays
Answer:
Since the two triangles are similar, the two medians AC and FH are in proportion. The proportionality rate is [tex]k=\frac{48}8=6[/tex]. That is the same ratio of the sides., so AD is k times the corresponding side FG, or [tex]\overline {AD} = k\overline{FG} = 6\times 9 = 63[/tex]
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Recall the half-angle identity for sine,
sin²(x/2) = (1 - cos(x))/2
Then the given equation is identical to
sin²(θ) = 1 - cos(θ)
Also recall the Pythagorean identity,
sin²(θ) + cos²(θ) = 1
Then we rewrite the equation as
1 - cos²(θ) = 1 - cos(θ)
Factoring the left side, we have
(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)
and so
(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0
and we factor this further as
(1 - cos(θ)) (1 + cos(θ) - 1) = 0
which gives
cos(θ) (1 - cos(θ)) = 0
Then either
cos(θ) = 0 or 1 - cos(θ) = 0
cos(θ) = 0 or cos(θ) = 1
[θ = arccos(0) + 2nπ or θ = -arccos(0) + 2nπ]
… or [θ = arccos(1) + 2nπ or θ = -arccos(1) + 2nπ]
(where n is any integer)
[θ = π/2 + 2nπ or θ = -π/2 + 2nπ] or [θ = 0 + 2nπ]
In the interval 0 ≤ θ < 2π, we get three solutions:
• first solution set with n = 0 ⇒ θ = π/2
• second solution set with n = 1 ⇒ θ = 3π/2
• third solution set with n = 0 ⇒ θ = 0
So, the first choice is correct.
find the value of the variable in the isosceles triangle. show your work plz
Step-by-step explanation:
3x-3 = x+5 add 3 on both sides
3x = x+8 subtract x in both sides
2x = 8 divide both sides by 2
x = 4
Dev has a monthly food budget of $182. He maps the amount of money,x, he spends each month to the number of food items he buys. What are the constrains on the domain?
Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:
x is of at least $0.x is of at most $182.The domain of a function is the set that contains all possible values for the functions.
In this problem, the input of the function is how much he spends on food.
His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115
The domain of a function is the set of input values the function can have.
The constraints on the domain are: the amount (x) is at least $0, and it is at most $182
From the question, Dev's budget on food is given as:
[tex]Budget = \$182[/tex]
This means that, he cannot spend more than $182.
Represent the amount with x.
So, we have:
[tex]x \le 182[/tex]
Also, he cannot spend a negative amount.
So, we have:
[tex]x \ge 0[/tex]
So, the domain is:
[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]
Rewrite as:
[tex]0 \le x[/tex] and [tex]x \le 182[/tex]
Combine both inequalities
[tex]0 \le x \le 182[/tex]
Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182
Read more about domain at:
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Help me please ill mark as the brainiest if correct. I don't know how so please tell me
Answer:
:)))))
Step-by-step explanation:
<3
will give brainliest due in 20 min
Answer:
25 is the area of ABCD
Step-by-step explanation:
5×5 = 25
Find the value for x.
Answer:
4x + 22
Step-by-step explanation:
A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit.
How many \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?
now, we're assuming that the prism has a volume of 10³ and is filled with cubes of sides 1/2 long, Check the picture below.
now notice the bottom-right part of the picture, if we put two small cubes next to each other, they add up to 1, so to get 10 units from that, we'll need 20 of those halves, or 20/2 = 10, meaning we'll need 20 cubes side by side to make a length of 10 horizontally.
The same will be true for getting cubes to make up 10 vertically, we'll need 20, the same is true to fill up from back to front, we'll need 20 cubes.
so we can say that the rectangular prism will need 20 cubes from front to back, 20 horizontally and 20 vertically, that'll be 20*20*20 cubes, or 20³ or 8000 cubes.
mind you that we used a Cube for the prism, but the same will be true if we were to rearrange the cubes and make the prism taller or wider, same 8000 cubes will fill it in.
Help me with this plzzzzzzzzz
Answer:
B : x € (-∞, 1)
Step-by-step explanation:
we have 4x +9 -2 +3x < 14
7x +7 < 14
7(x+1) < 14
x + 1 < 2
x < 1
=> x € (-∞, 1)
The temperature was -1°F at noon and dropped to -14°F by the evening.
What was the change in temperature?
13°F
-13°F
-15°F
15°F
Answer:
-13°F is the change in temperature.
Step-by-step explanation:
The change in temperature is,
→ -1 + x = -14
→ x = -14 + 1
→ [ x = -13 ]
Hence, -13°F is the change.
Find the slope of the line y=−5x−4
Answer:
-5
Step-by-step explanation:
I hope this helps!
Answer:
-5
Step-by-step explanation:
The slope of the line in this format is the coefficient of x, or the number in front of x.
Help help math math
Answer:
1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -15 - -14) / ( -11 - (-10))
= (-15+14) /(-11 + 10)
= -1 / -1
= 1
Answer:
The answer is 1
Step-by-step explanation:
a map of a rectangle park has the length of 4inches and a with of 6 inches. It uses a scale of 1 inch every 30 miles. What is the area of the park
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
[tex]A=bh[/tex]
Replace the known values:
[tex]A=(4)(6)\\ A=24[/tex]
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
[tex]A=(24)(30)\\ A=720[/tex]
And last but not least, don't forget to put the unit!
At the store, you can get a 12-pack of soda for $5. How much would it cost for a 30-pack
The local sales tax is 8% if a pair of shoes sells for $140 what is the cost after tax
Answer:
$151.2
Step-by-step explanation:
To find the price after the tax is implemented,
set a relationship x/140=8/100 (8/100) basically means 8%.
cross multiply (140)(8)=1120. Then divide it by 100x, you get $11.2.
But that's just 8 percent of the total amount. So you need to add onto the original price, 140+11.2=$151.2.
It takes cadence 36 hours to read 12 books. Write a unit rate that models the situation.
Answer:
three hours every 1 book
Step-by-step explanation:
36-12
6-2
3-1
what is the slope of (-1,-2) and (-2,2)
[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4[/tex]
What is the product of (x2 + 3x + 9) and ( 2x + 7)?
Answer:
Ez 1+1=3 Duh
Step-by-step explanation:
You add 1 to 1 it will become 3You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?.
Answer:
2
Step-by-step explanation:
I got it right bro man my guy I got you
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
-4(-2u+3)-u=3(u-7)-5
where you simplify your answer as much as possible
Answer:
-7/2
Step-by-step explanation:
-4(-2u+3)-u=3(u-7)-5
8u-12-u=3u-21-5
8u-u-12=3u-26
7u-12=3u-26
7u-3u-12=-26
4u-12=-26
4u=-26+12
4u=-14
u=-14/4
simplify
u=-7/2
Answer:
u = - 3.5
Step-by-step explanation:
Before solving this you have to know that,
(-) × (-) = (+)
(-) × (+) = (-)
(+) × (+) = (+)
Let us solve now.
[tex]-4(-2u+3)-u=3(u-7)-5[/tex]
[tex]8u-12-u=3u-21-5[/tex]
[tex]7u-12=3u-26[/tex]
[tex]7u-3u=12-26[/tex]
[tex]4u=-14[/tex]
[tex]\frac{4u}{4} = \frac{-14}{4}[/tex]
[tex]u=-3.5[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
The − and −axes, the ordinate = 3 and the curve =
2 + 1
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ooooooooooooooooooooooooo0oo00o00oo0oo0o0o0o0o0oooooooooooooooooo
Answer:
wat?
Step-by-step explanation:
merry christmas....yey!!
PLS HELP ME
what is mZA?
Answer:
35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think
HURRY!!! Please?? 12 POINTS
Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ?
Answer: $45.50
Step-by-step explanation:
30% discount means 30% off the original price
1. find 30% of 65$
=.3*65
=19.5
2. subtract that from 65$
=65-19.5
=45.5
the discount price was $45.50
HELP QUICK!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in South High School to their grade point average (GPA) and number of credits earned.
Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.
In a function, one value of the input can be related to only one value of the output.
In this problem:
The input is the student.The output is the student GPA, and the number of credits earned.Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.
To learn more about the function concept, you can take a look at https://brainly.com/question/12463448