Answer:
$2983.65
Step-by-step explanation:
A = $2000[tex]e^{8*.05}[/tex] =
To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the window, how far away from the building should Rafi place the base of the ladder?
Answer:
Base of the ladder is 3 meters away from the building.
Step-by-step explanation:
Let's use Pythagoras theorem to solve.
Pythagoras theorem says,
[tex]a^{2} +b^{2} =c^{2}[/tex]
Here let horizontal distance is "a''
Vertical distance of window is 4 m
So, b=4
The Rafi leans 5 m ladder against the wall. So, c=5.
[tex]a^{2} +4^{2} =5^{2}[/tex]
Simplify it
[tex]a^{2} +16=25[/tex]
Subtract both sides 16
[tex]a^{2} =9[/tex]
Take square root on both sides
a=±3
So, base of the ladder is 3 meters away from the building.
Write the equation in slope-intercept form. y = 6(x + 2) + 5x
Answer:
y=11x+12
Step-by-step explanation:
y = 6(x + 2) + 5x
y=6x+12+5x
y=11x+12
in slope interception form= y=mx+c
y=11x+12
Can anyone help me with this answer?
Answer: B. 1.5 × 10⁻¹⁸
Step-by-step explanation:
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
When converting scientific notation to an integer:
If the exponent is negative, move the decimal to the left with the same amount of units as the exponents. For example: If converting 5 × 10⁻³, since the exponent is -3, we move the decimal to the left 3 unitsIf the exponent is positive, move the decimal to the right with the same amount of units as the exponentsFor example: If converting 2 × 10⁴, since the exponent is 4, we move the decimal to the right 4 unitsWhen converting an integer to scientific notation:
If the number is ≥1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is positive.For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²If the number is <1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is negative.For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³Given:
Mass of one water molecule = 3.0 × 10⁻²³
Total number of molecules (required by the question) = 50,000
Solve:
Formula
Total mass = Mass of one water molecule × Total number of molecules
Substitute the values into the formula
Total mass = 3.0 × 10⁻²³ × 50,000
Convert 50,000 into scientific notation
Total mass = 3.0 × 10⁻²³ × 5 × 10⁴
Multiply numbers together/ Multiply exponents together
Total mass = 15 × 10⁻¹⁹ = 1.5 × 10⁻¹⁸
Hope this helps!! :)
Please let me know if you have any questions
A small bird can flap its wings 120 times in 30 s. What is the rate of change of wing flaps?
Answer:
4 Flaps per second
Step-by-step explanation:
M = 120/30
Answer:
4 times per second
Step-by-step explanation:
120 ÷ 30 = 4
30 ÷ 30 = 1
4 flaps per 1 second
so basically 4
I suck at math ik but i need anyones help please
Answer:
f(2)= 1
f-¹(1)= 2
f-¹(f(2))= 2
I hope I helped you^_^
What is the value of the expression 3y−z
y+5z
when y = 6 and z = 2?
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Question \#1}[/tex]
[tex]\huge\textsf{3y - z}[/tex]
[tex]\huge\textsf{= 3(6) - 2}[/tex]
[tex]\huge\textsf{= 18 - 2}[/tex]
[tex]\huge\textsf{= 16}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Question \#2}[/tex]
[tex]\huge\textsf{y + 5z}[/tex]
[tex]\huge\textsf{= 6 + 5(2)}[/tex]
[tex]\huge\textsf{= 6 + 10}[/tex]
[tex]\huge\textsf{= 16}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]
[tex]\huge\textsf{\boxed{\star\underline{\underline{16 = 16}}\star}\star}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help explanation if possible
Answer:
Step-by-step explanation:
Subtract 3x from both sides
3x - 3x - 2y = -3x + y
Combine
-2y = - 3x + 7
Divide by - 2
-2y/-2 = -3x/-2 + 7/-2
y = 3x/2 - 7/2
A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to travel the 60km will increase by 1/2h. Find the speed of the train at the beginning.
Answer:
Initial speed is 32 m/s
At uniform speed, acceleration is 0, (a = 0).
When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.
From first equation of motion:
[tex]{ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}[/tex]
substitute:
[tex]{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}[/tex]
from second equation of motion:
[tex]{ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}[/tex]
substitute:
[tex]{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}[/tex]
if line y bisects line AC, AB = 4 - 5x, and BC = 2x+25, find AC
Answer:
4-5x = 2x+25
-5x+4 = 2x+25
-7x = 21
x = -3
4 - 5(-3)
4 + 15
19
AC = 2 x 19
AC = 38
Let me know if this helps!
write an equation for a line that is perpendicular to 2x - 4y = 10
Answer:
5
The correct answer is Y= - __
4
What is the number when 4is subtracted from the Sum of 4 and 7 multiplied by one-fourth of 20?
Answer:
one fourth of 20 = 5
(4+7)-4*5
11-4*5
11-20
-9
I NEED HELP WITH THIS QUESTION ASAP ITS REALLY REALLY URGENT!!!!
—
Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25 degrees, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.
Step-by-step explanation:
I can give you a formula SOH-Sinø=Opposite\Hypotenuse
CAH-Cos=Adjacent\Hypotenuse
TOA-Tan=Opposite\Adjacent
A 60 foot monument casts a 25-foot shadow How long is the shadow of a 4.5 tall person?
A) 1.875 feet (it’s this one)
B) 5.555 feet
C) 2456 feet
D) 13334 feet
Answer:
A
Step-by-step explanation:
Using similarities we have
(Actual size)/(Shadow length)=60/25=4.5/x
x=4.5*25/60=1.875
Answer:
A) 1.875 feet
Step-by-step explanation:
find the lcm of 10a²b,15ab²c and 20bc²
Answer:
jsjuuusjus??dujj??uu?jw?wuw?jjdj
Step-by-step explanation:
e
q
iwsj
l
Will mark brainlest helppppppp
Answer:
6
Step-by-step explanation:
again ?
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
Please help !!!!!!!!!!!
Answer:
98°+62°+6x = 180
160+6x = 180
6x = 180 - 160
6x = 20
x= 20/6
x= 3.33
therefor your answer is 3.33
Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
y is inversely proportional to V1+x.
When x = 8, y = 2.
Find y when x = 15.
Answer:
y = 1.5
Step-by-step explanation:
Given x is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is
y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of proportion
To find k use the condition when x = 8, y = 2
2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
6 = k
y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of proportion
When x = 15 , then
y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5
PLzzZZHELPPPP
The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?
Answer:
220ft tall
Step-by-step explanation:
From the question we are given the following:
Adjacent side of the triangle = 80feet
Angle of elevation = 70°
Required
Height of the building (Opposite)
Using the SOH CAH TOA identity:
tan theta = opp/adj
tan 70 = H/80
H = 80tan70
H = 80(2.7474)
H = 219.79ft
Hence the building is 220ft tall
Find the missing value in each figure below. What does “y” equal?
Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
A bus has velocity 20m/s towards east and another bus has velocity 15m/s in West direction.If they start to move from a point simultaneously.What distances do they covered in 2 minutes.
Answer:
4,200 m or 4.2 km.
First bus: 2400 m
2nd bus: 1800 m.
Step-by-step explanation:
Their combines speed is 20+15 = 35m/s.
Distance = speed * time
2 minutes = 120 seconds so
D = 35 * 120
= 4200 m.
Splitting the distances:
The first bus covers 20 * 120 = 2400m
The second bus covers 15*120 = 1800m.
Answer:
4200m
Step-by-step explanation:
If two objects A and B are moving in the opposite direction with speed xm/s and ym/s respectively,then;
Relative speed =(x+y)m/s
: Relative speed = 20+15=35m/s
time =2min=160sec
DISTANCE=SPEED ×TIME
D=35×120=4200
4200m
hi, please solve these three questions for me, i have to shoe solving steps.
question 3
Step-by-step explanation:
i only able to show you the step of question 3..so sorry
From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building
Answer:
First we find the distance between the two buildings =
Step-by-step explanation:
[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]
then the upper part of the taller building =
[tex]37.3 \times \tan(59) = 62 \: ft[/tex]
Now the total height of the taller building
[tex]80 + 62 = 142 \: ft[/tex]
help me with the picture please
=====================================================
Explanation:
Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.
The equilateral triangle marked in blue has all three angles 60 degrees each.
Note that the 60 and y angles combined to form 130, so,
60+y = 130
y = 130-60
y = 70
Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180
y+w+w = 180
70+2w = 180
2w = 180-70
2w = 110
w = 110/2
w = 55
This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.
help please I'm doing some math homework
Answer:
Slope is 5/2
Step-by-step explanation:
[tex]{ \boxed{ \bf{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} }}}[/tex]
Substitute the terms:
[tex]{ \tt{slope = \frac{7 - ( - 3)}{4 - 0} }} \\ = \frac{5}{2} [/tex]
Nina is making pink candles to use as decorations on Valentine's Day. She melts red and white wax together and pours them into a heart-shaped mould. Then, she melts double the amount of red wax and double the amount of white wax together and pours them into a flower-shaped mould. Which candle is a lighter shade of pink?
Answer:
answer is neither, they are both the same shade.
Step-by-step explanation:
if she doubled the colors exactly then it wouldn't be any different. Also IXL told me I'm right :)
Answer:
Neither.
Step-by-step explanation:
Originally, she used the same amount. For the second one, she used double the same amount, but it was still the amount of red wax as of white wax. So, they both had the same amount, which means it is neither.
(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you
Answer:
Arthur should select the Mount Joy Pool when there are less than 10 people at the party
Step-by-step explanation:
The initial fee to rent the Woodbridge Pool = $50
The additional fee per person after renting = $5
The initial fee to rent at Mount Joy Pool = 0 (no initial fee)
The fee per person at Mount Joy Pool = $10
The equation of a straight line is y = m·x + c
Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;
The total cost of renting Woodbridge Pool, y = 5·x + 50
The total cost of renting the Joy Pool, y = 10·x
Equating both values of y gives;
5·x + 50 = 10·x
∴ 5·x = 50
x = 50/5 = 10
x = 10
From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool
It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons
Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.
Five consecutive multiples of 7 have a sum of 350. What is the smallest of these numbers?
A. 70
B. 56
C. 77
D. 84
Answer:
B. 56
Step-by-step explanation:
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
- 70 - 70
_____________
5x = 280
x = 56
Hope this helps!
The smallest number is 56, the correct option is B.
What is Sum?The sum is the output of the mathematical operation, Addition.
Let the first number is x, they are multiples of 7,
As they are multiples of 7, the consecutive numbers will be added by 7 for next term.
The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).
The equation can be formed for the numbers that are given as,
An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.
The sum of the multiples is 350
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
Grouping the variables and the constants separately
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
Adding (-70) to both sides of the equation
5x = 280
Dividing both sides by 5
x = 56
The value of the first number of the series is obtained.
The first value is the smallest number of the series.
To know more about Sum
https://brainly.com/question/13013054
#SPJ2
Math models helpppp plss if you know about math models answer this pls
Answer:
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.
Which inequality is represented by the graph?
Answer:
It will be -5≤×≤4
