Answer:
210 gallons
Step-by-step explanation:
120 x 1 = 120
120 / 4 = 30 x 3 = 90
120 + 90 = 210
Molly opened a savings account to save for a bicycle. She deposited the same amount of money each week. At the end of 18 weeks, she had saved $331.56. How much money did Molly deposit into her account each week?
Answer:
Weekly deposit= $18.42
Step-by-step explanation:
Giving the following information:
Number of weeks= 18
Total amount of money= $331.56
She deposited the same amount of money each week.
To calculate the weekly deposit, we need to divide the total savings by the number of weeks:
Weekly deposit= 331.56 / 18
Weekly deposit= $18.42
G (x ), represents transformations on the parent function of y = (½) x Write the equation for g (x ).
Complete Question:
g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].
Write the equation for g (x ) with the following transformations:
Reflect over y-axis, and shift right 7
Answer:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
Step-by-step explanation:
Given
[tex]y = (\frac{1}{2})^x[/tex]
Represent the function as:
[tex]f(x) = (\frac{1}{2})^x[/tex]
Taking the transformations, one after the other:
Reflect over the y-axis.
This is represented by the rule: (x,y) ==> (-x,y)
So, we have:
[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]
Shift right 7 units
This is represented by (x,y) = (x - b, y)
Where b represents the number of units
So, we have:
[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]
Hence:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
Brainly reward!!!!
What's the area of the gray shape?
PLEASE HELP!!!
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
Here are what they equal in their simplest forms!
Step-by-step explanation:
Sin D & Cos E were originally equal to 13 -/3 over 26
-
Sin E & Cos D were originally equal to 13/26
-
Hope I was able to help!
Answer:
sin D = FE/DE = 13√3 /26 = √3 /2
sin E = DF/DE = 13/26 = ½
(sin E = cos D)
cos D = DF/DE = 13/26 = ½
cos E = EF/DE = 13√3 /26 = √3 /2
(sin D = cos E)
Submarines use sonar systems, which are similar to radar systems, to detect obstacles. Sonar systems use sound to detect objects underwater.
a. You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34∘ to the bottom of the iceberg. How many meters must the submarine lower to pass under the iceberg?
The submarine must lower at least ____ meters.
Question 2
b. The sonar system then detects a sunken ship 1500 meters ahead, with an angle of elevation of 19∘ to the highest part of the sunken ship. How many meters must the submarine rise to pass over the sunken ship?
The submarine must rise at least ____ meters.
Answer:
a. tan(34)= O/4000 and follow the solving to get the distance it must be lowered
b. (Same idea as a) tan(19)=1500/A and solve to get the distance
The submarine must lower at least 2698 meters and the submarine must rise at least 516.45 meters.
Given that, the sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34∘ to the bottom of the iceberg.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
a) We know that, tan θ = (Perpendicular/Base)
Let the number of meters must the submarine lower to pass under the iceberg be x.
tan θ = x/4000
⇒ tan 34° = x/4000
⇒ 0.6745 = x/4000
⇒ x = 0.6745 × 4000
⇒ x = 2698 meters
b) Let the number of meters must the submarine rise to pass over the sunken ship be y.
tan θ = y/1500
⇒ tan 19° = y/1500
⇒ 0.3443 = y/1500
⇒ y = 0.3443 × 1500
⇒ y = 516.45 meters
Therefore, the submarine must lower at least 2698 meters and the submarine must rise at least 516.45 meters.
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-3x²+5x-8 and -10x²-x-3
Answer: 1.)−(3
4
The diagram shows a shape.
12 cm
Diagram NOT
accurately dre
6 cm
9 cm
x cm
The shape has area 129 cm
Work out the value of x.
Answer:
x = 7 cm
Step-by-step explanation:
12x9 + 3x = 129
108 + 3x = 129
3x = 21
x = 7 cm
The value of x will be;
⇒ x = 2.3 cm
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The shape has area 129 cm².
Now,
Since, The shape has area 129 cm².
And, The Length of the large rectangle = (12 + x) cm
And, The width of the rectangle = 9 cm
We know that;
The area of rectangle = Length × Width
⇒ 129 = (12 + x) × 9
⇒ 129/9 = 12 + x
⇒ 14.3 = 12 + x
⇒ x = 14.3 - 12
⇒ x = 2.3 cm
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name the following polynomial expression of -8
Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?
Answer:
2 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
t = 84 / ( 600 × 0.07 ) = 2
t = 2 years
The time required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
at an interest rate of 7% per year
is 2 years.
3b-2b+4b 5b I need help please
Answer:
5b
Step-by-step explanation:
Answer:
what sign is between 4b and 5b
Step-by-step explanation:
Find the perimeter of ABCD please.
Answer:
Perimeter = 71
Step-by-step explanation:
angles formed by tangent lines has equal side lengths.
segments from A to tangent point = 17 each
segments from B to tangent point = 12 each (29 - 17 = 12)
segments from C to tangent point = 2.5 each
segments from D to tangent point = 4 each (21 - 17 = 4)
Perimeter = 2(17) + 2(12) + 2(2.5) + 2(4) = 71
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Try C it probably is your answer
PLS HELP I NEDD HELP WILL GIVE BRAINLIEST please....
Answer:
22,000
Step-by-step explanation:
c=2πr
2(3.14)3500
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
which is bigger 1/8 or 0.15?
Answer:
1/8 is bigger sike
Step-by-step explanation:
Please help with this I’ll mark brainliest!
Answer:
From left to right: 1st box: 2x^2
2nd: x
3rd:-4x
4th: -2
The product is 2x^2 - 3x - 2
A dress was on sale for 35% off. The original price was $40. How much will she save?
Answer:
$15
Step-by-step explanation:
Answer:
She will save $14.
Step-by-step explanation:
Because the dress is 35% off, the savings value will be 40*0.35. That will give you a savings total of 14 dollars.
Can someone help me with this please
Answer:
YOu are cooooooooooooooooooooooooooooooool
Step-by-step explanation:
Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin
Answer: The answer is c
Explanation:
the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
Answer:
[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]
Step-by-step explanation:
Given rational expression is,
[tex]\frac{2x^2+5x-14}{x-2}[/tex]
x - 2) 2x² + 5x - 14(2x + 9
2x² - 4x
9x - 14
9x - 18
4
Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.
44 cu. cm of wire is drawn into a wire of diameter 2 mm , the length of wire will be _____.
Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get
[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]
[tex]44000\times \dfrac{7}{22}=4h[/tex]
[tex]14000=4h[/tex]
Divide both sides by 4.
[tex]\dfrac{14000}{4}=h[/tex]
[tex]3500=h[/tex]
Therefore, the length of the wire is 3500 mm or 350 cm.
If the given equation is not in linear form, the first is to simply the given equation by
A. Substitution method
B. Cross multiplication method
C. Gauss elimination method
D. None of these
Answer:
B. Cross multiplication method
Step-by-step explanation:
Hope this will help
Answer:
B. Cross multiplication method
Step-by-step explanation:
Have a good day
20 POINTS !
Please help because when I say I’m confused
Answer:
1. B
2. A
3. C
Step-by-step explanation:
20 points!!
-5 = b - 2.3
Answer:
-2.7
Step-by-step explanation:
-5 + 2.3 = b -2.3 + 2.3
-2.7 = b
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The triangles below are similar.
10
y
22
33
12
y = [?]
Answer:
y=15
Step-by-step explanation:
Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15
The value of x is 26.4 unit and y is 15 units,
What is Similarity?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
Given:
As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.
So, 22/ 10 = 33/ y
22y = 330
y = 330/22
y = 15
and, 22/10 = x/ 12
264 = 10 x
x= 26.4
Hence, the value of x is 26.4 unit and y is 15 units,
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Find the annual rate (written as a percent) on a loan of $1950 for 2 years and 9 months if the simple interest earned is $321.75
Answer:
6%
Step-by-step explanation:
Given that :
Principal , P = $1950
Interest earned, I = $321.75
Period, t = 2 years 9 month = 2 9/12 = 2.75
I = P * r * t
321.75 = 1950 * r * 2.75
321.75 = 5362.5 * r
r = 321.75 / 5362.5
r = 0.06
r = 0.06 * 100% = 6%
-3 < n < 1
n is an integer
Write down all the possible values of n
Answer:
n ε{-2,-1,0} with n being integer
what is 2(x+10)=60 please help
Step-by-step explanation:
2(x+10)=60
x+10=60/2
x=30-10=20
2(7n - 1) >= 3(5 - n)
Answer:
n >= 1
Step-by-step explanation:
2(7n - 1) >= 3(5 - n)
use the distributive property
14n - 2 >= 15 - 3n
+2 +2
14n >= 17 - 3n
+3n +3n
17n >= 17
n >= 1
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Step-by-step explanation:
[tex]2(7n - 1) \geqslant 3(5 - n) \\ 14n - 2 \geqslant 15 - 3n \\ 14n + 3n \geqslant 17 \\ 17n \geqslant 17 \\ n \geqslant 1 \\ thank \: you[/tex]
Gabriella bought three melons for 7.50 how many melons can April buy if she has 17.50
Answer:
7 melons
Step-by-step explanation:
So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.