[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]
════════════════════
[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]
[tex]x+18-6x=-18 [/tex]
[tex]-5x+18=-18 [/tex]
[tex]-5x=-18-18 [/tex]
[tex]-5x=-36 [/tex]
[tex]x=\frac{-36}{-5} [/tex]
[tex]x=\frac{36}{5} [/tex]
[tex]= 7 \frac{1}{5}[/tex]
[tex]= 7.2[/tex]
So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
Write the equation for the cosine function for the ferris wheel ride, with where h, is the height in meters, and t, is the time in minutes.
The cosine function for the ferris wheel ride is an illustration of a sinusoidial function
The equation of the Ferris wheel is y = -190cos(π / 120 t) + 195
How to determine the cosine function?A cosine function is represented as:
y = Acos(Bt - C) + D
From the complete question, the diameter of the ferris wheel is 380 feet.
The amplitude represents the radius, and this is calculated as:
A = 380/2
A = 190
The function becomes:
y = 190cos(Bt - C) + D
The period of the function is:
T = 2π / B
From the complete question, one full rotation is completed in 4 minutes.
Convert the time to seconds
T = 4 * 60
T = 240.
So, we have:
240 = 2π / B
Divide both sides by 2
120 = π / B
Make B the subject
B = π / 120
The function becomes
y = 190cos(π / 120 t - C) + D
From the question, the ferris wheel is 195 feet above the ground.
This represents the vertical shift.
So, we have:
D = 195
The function becomes
y = 190cos(π / 120 t - C) + 195
Also, we have:
The lowest point is at t = 0 and the function is a negative cosine function
So, we have:
C = 0
The function becomes
y = -190cos(π / 120 t) + 195
Hence, the cosine function is y = -190cos(π / 120 t) + 195
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i need help with problem 1
The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?
Answer: 0.27
Population density of the species in water:
Population density of a species in the water is given by the expression,
Density =Given in the question,
Number of goldfish in the tank = 12
Volume of the tank = 45 cubic feet
Substitute these values in the expression,
Density =
= 0.267
≈ 0.27 goldfish per cubic feet
Therefore, density of the tank will be 0.27 goldfish per cubic feet.
Please help!
Find the value of x. Round to the nearest tenth for numbers #19.
Find the value of x. Round to the nearest degree # 23 & #27.
-Answer the last question :)
LAST QUESTION: The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
The values of x in the triangles are 21.4 units, 58 degrees and 66 degreesThe angles in the rhombus are 44 and 46 degrees, respectivelyHow to determine the values of x?Triangle 1
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
Triangle 2
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
Triangle 3
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
How to calculate the angles of the rhombus?The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
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A robot vacuum cleans a dirty floor using multiple passes. During each pass, 24% of the dirt is removed. If the floor initially has 550 ml of dirt, write a function to find out how much dirt will remail after 10 passes?
please include function and value.
The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml
How to solve an exponential function?
Let y represent the amount of dirt on the floor after x passes.
The floor initially has 550 ml of dirt, hence a = 550.
During each pass, 24% of the dirt is removed. Hence b = 100% - 24% = 76% = 0.76
The equation is given by:
y = 550(0.76)ˣ
After 10 passes:
y = 550(0.76)¹⁰ = 35.36 ml
The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml
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The points 4,0 and 7,6 lie on a particular line, what is its equation in slope - intercept form?
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]
Fill in the table using this function rule.
-
y=6x-1
х
у
1
4
5
10
0
Answer:
Below
Step-by-step explanation:
According to a website, ebra
Solve for
N
by cross multiplying.
N
=
5
Tap to view steps...
Solve for s
Isolate the variable by dividing each side by factors that don't contain the variable.
s
=
8
r
−
5
t
Tap to view steps...
Solve for x
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
−
6
Interval Notation:
(
−
6
,
∞
)
Tap to view steps...
Solve by Substitution
Move all terms that don't contain
x
to the right side and solve.
x
=
9
2
−
y
2
Tap to view steps...
3/31/2022 4:07 PM
How can I help you?
Tap to view tutorial...
Find the Function
Find the function by taking the integral of the derivative.
G
(
x
)
=
5
2
x
2
−
x
+
C
Tap to view steps...
How was this solution?
Tap to rate...
Find the Function
I am unable to solve this problem.
Tap for examples...
Tired of typing? Download the app to take a picture of your problems!
Find the Function Rule
The chosen topic is not meant for use with this type of problem. Try the examples below.
x
q
(
x
)
1
1
2
2
3
3
4
4
x
q
(
x
)
1
3
2
6
3
11
4
18
x
q
(
x
)
1
2
9
162
2
8
8
128
3
18
If VZ=p–7 and WY=p–21, what is the value of p?
Using the midline property;
[tex]2wy = vz[/tex]
[tex]2(p - 21) = p - 7[/tex]
[tex]2p - 42 = p - 7[/tex]
[tex]2p - p = - 7 + 42[/tex]
[tex]p = 35[/tex]
find the value of (0.81÷0.09)+(0.81÷9)
Answer:
9.09
Step-by-step explanation:
[tex]\frac{0.81}{0.09} + \frac{0.81}{9}[/tex]
= 9 + [tex]\frac{0.81}{9}[/tex]
= 9+ 0.09
= 9.09
I hope this helped!! If so please rate and mark brainliest <3!!
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how many inches of wire can be bought for 44 cents
On Monday, Payton rode 7 miles on a bike. On Tuesday, she rode 23
miles. On Wednesday, she rode 3 times as much as she did Monday
and Tuesday combined. What equation could you use to find how
many miles Payton rode on Wednesday, r?
Answer:
483
Step-by-step explanation:
I really really pray and hope this helpss.
Answer:
X=3(7+23)
Step-by-step explanation:
pls help me thank you
cereal set roster notation
Answer:
Step-by-step explanation:
Notation for Cereal Set Roster
The roster form is one of the simplest ways to represent the set. The elements of a set are represented in a row and separated by a comma in roster form. For example, the first five positive even numbers are denoted as A = 2, 4, 6, 8, 10.
A = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 is an example of roster notation: A = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
Hope that helps you understand :)
can someone explain how to do "interquartile range"
What is it?
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
How do you find IQR?
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer:
The answer to this quesion is a measure of statistical dispersion, the spread of data or observations, first you need to get the data find the median calculate the median from both lower and upper half of the data and the iqr is the diffrence between the lower and upper.
Step-by-step explanation:
I Hope This Helps You!
-Justin:)
solve pls brainliest
Answer:
2/5 > 1/4
Step-by-step explanation:
First convert the denominators to the LCM which will be 20
2/5 will convert to 8/20 because 5 x 4 = 20 so 2 x 4 = 8 and 1/4 will convert to 5/20 because 4 x 5 = 20 so 1 x 5 = 5
There are 30 students in Mrs. Jones class. 20% of the students received an A on the last math test. How many students received an A?
Answer:
20% of 30
= 20/100 * 30
= 6
hence 6 students recieved A grade
Will give Brainly Fivue starts and a tThanks
Answer:
y = x + 9
Step-by-step explanation:
Since each x input can be added by 9 to get the y outputs, the equation is y=x+9
Hope this helps :)
Please Help! will Give Brainlest!
Answer:
tan ¤ = opp/adj
tan ¤ = 20/50
since opposite of the angle is 20, height of the tree is 20 feet.
Ans : D
Answer:
height : 20distance : 50Explanation:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(x)= \dfrac{20}{50}[/tex]
using the equation, we can identify that ↓opposite ( the height of the tree ) is 20adjacent ( the distance ) is 50Can I have help on this?
Answer:
25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
Answer: 25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
Solve 7x -4 = 5x + 15 for x.
19/12
11/2
19/2
Answer:
Third option
Step-by-step explanation:
Given the following question:
[tex]7x-4=5x+15[/tex]
To find the answer we need to use inverse of operations to simplify the equation in till we isolate the variable and find the value of x.
[tex]7x-4=5x+15[/tex]
[tex]-4+4=0[/tex]
[tex]15+4=19[/tex]
[tex]7x=5x+19[/tex]
[tex]5x-5x=0[/tex]
[tex]7x-5x=2x[/tex]
[tex]2x=19[/tex]
[tex]2x\div2=x[/tex]
[tex]19\div2=\frac{19}{2}[/tex]
[tex]=\frac{19}{2}[/tex]
Your answer is the third option or "19/2."
Hope this helps.
what is 60 divided by 4?
Answer:
The answer is 15
Step-by-step explanation:
PLEASE HELP! DUE TODAY! TY!
Use the diagram to find measure of Arc HJ.
Work:
(HJ) =
Answer: 44 degrees
Step-by-step explanation:
Question
Find the perimeter of the figure to the nearest hundredth.
Answer:
50.29in
Step-by-step instructions:
First find the semi-circular part:- 1/2×2πr
=1/2×2×22/7×9
=28.29
Find whole perimeter:- 28.29+5+5+12 = 50.29 in
If the point (x,square root 3/2) is on the unit circle, what. is x?
Answer:
[tex]x=\pm\frac{1}{2}[/tex]
Step-by-step explanation:
On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively
3 kitchen assistants can prepare 10 kg of vegetables in 60 minutes. How long would it take 25 assistants to prepare the same amount?
Answer:
App. 83.33 kg
Step-by-step explanation:
10/60=0.167 kg/minute
0.167/3=0.056 kg/minute/person
0.056 x 25 x 60= 83.33...6
What is the volume of the square pyramid?
Answer:
v = 118.333333333
Step-by-step explanation:
formula: V=a^2h/3
The area is the base edge (so 5)
The height is the line going up the triangle (14.2)
Fill in:
v = 5^2(14.2/3)
Solve:
exponent first: 5^2 = 25
v = 25 (14.2/3)
divide/find out fraction: 14.2/3 = 4.73333333333
v = 23 x 4.73333333333
multiply: 23 x 4.73333333333 = 118.333333333
v = 118.333333333
you can also write as v = 118.3 with a line like “-“ over 3 to show the 3 is repeating:)
PLS HELP ME I WILL MARK THE BRAINLIEST
#1
First the rectangle
L=18mB=7mArea
18(7)126m^2.For semicircle
d=7m=>r=3.5mArea
=πr^2/2=12.25π/2Total area
126+2(12.25π/2)126+12.25πm^2#2
r=15fttheta=332°=332×π/180=0.92πArea:-
r^2\theta15^2(0.92)207ft^2In a school there are 1970 pupils. If there are 799 boys, how many more girls are there than boys?
As per linear equation, there are 372 more girls in school than boys.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant."
Given, there are 1970 pupils.
There are 799 boys in the school.
Therefore, the number of girls in the school is
[tex]= (1970-799)\\= 1171[/tex]
Therefore, the number of girls more than boys in the school is
[tex]= (1171-799)\\= 372[/tex]
In that school , there are 372 more girls than total number of the boys.
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The parabola y=x^2 is scaled vertically by a factor of 8
Answer:
2x8=16 so there for y=x^18
Step-by-step explanation:
a locker requires a three-digit code to open the lock. the code must contain one letter and two numbers, and no letter or number can be repeated. you can choose from among four letters, a,b,c and d and two numbers, 5 and 6
Answer:
4 ways
Step-by-step explanation:
Given
Code consists of 3 digits1 letter and 2 numbersNo number/letter should be repeatedPossible combinations
a56b56c56d56⇒ 4 ways