Answer:
Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.
Convert the number to standard notation.
3.2 × 10^4 feet
=
3.2 • 10,000 feet
=
32,000 feet
Step-by-step explanation:
This is the sample answer from Edmentum.
Answer:
Question 1 part a =
Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.
Convert the number to standard notation.
3.2 × 104 feet
= 3.2 • 10,000 feet
= 32,000 feet
Part b =
Felix’s skydiving altitude is 1.28 × 105 feet.
Convert the number to standard notation.
1.28 × 105 feet
= 1.28 • 100,000
= 128,000 feet
Part c =
Subtract the two altitudes to find the difference.
128,000 feet − 32,000 feet = 96,000 feet
The difference of their altitudes is 96,000 feet.
Part d =
The difference of the altitudes is 96,000 feet.
Covert 96,000 to scientific notation:
96,000 feet = 9.6 × 104 feet
Question 2 part a =
Vincent’s plane’s altitude is 3.2 x 10^4 feet.
Felix’s skydiving altitude is 1.28 x 10^5 feet.
Transform 3.2 x 10^4 so its exponent matches the power of 10 in 1.28 x 10^5.
To do so, multiply and divide the number by 10.
3.2 x 10^4 = 10/10 x 3.2 x 10^4
= 3.2/10 x 10^4 x 10
= 0.32 x 10^5
Part b =
Calculate the difference of the two altitudes:
1.28 × 105 – 0.32 × 105
= (1.28 – 0.32) • 105
= 0.96 • 105
The difference of their altitudes is 0.96 •105 feet.
Part c =
The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.
To convert the answer to scientific notation, multiply and divide the number by 10.
0.96 x 10^5 = 10/10 x 0.96 x 10^5
= (0.96 x 10) x (10^5 x 10^-1)
= 9.6 x 10^4 feet
In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.
Question 3 =
The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.
Step-by-step explanation:
Your answer is in bold. All edmentum answers :)
Hope this helps someone!
work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).
Please help! would really appreciate it.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude² = hypotenuse²
15² + altitude² = 17²
225 + altitude² = 289
altitude² = 289 - 225
altitude² = 64
altitude² = 8²
altitude = √8²
altitude = 8
P = 8 + 15 + 17 = 40 units
[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
a = 5bc
b = -4 and c = -3
Work out the value of a.
Step-by-step explanation:
a=5*-4*-3
a=-2
hope this helps
Use a calculator to evaluate the trigonometric functions of the given anglers. Round your answers to four decimal places. Please help
Answer: figure it out.
Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
hi sorry for answering late but the answer is D)greater than or equal to
Step-by-step explanation: Have a nice day :)
Answer:
greater than or equl to
Step-by-step explanation:
just gave answer i think not sure and it d by the way
The area of a rhombus is 36 sq. cm. If its perimeter is 16cm, find its altitude.
Answer:
Perimeter of rhombus =4×l
16=4l
l=16/4=4
its length =4cm
area of rhombus=36cm²
base× height (here base=length)=36cm²
4h=36
h=36/4=9
:.altitude of rhombus is 9cm.
convert 5 km into millimeters
Answer:
5000000mm
im smart
Answer:
5,000,000mm
Step-by-step explanation:
1km = 1000m
1 m = 100cm
1cm = 10 mm
5km = 5000m
5000m = 500,000cm
500,000cm = 5,000,000mm
Which line is tangent?
Which expression fits this description? • The expression is the quotient of two quantities. • The numerator of the expression is the product of 5 and the sum of x and y. • The denominator is the product of negative 8 and x.
Answer:
[tex]\frac{5(x+y)}{-8x}[/tex]
Step-by-step explanation:
It is a fraction that usually has a numerator and denominator
the numerator is the number on top while the denominator is the number below
[tex]\frac{a}{b}[/tex]
In the above fraction, a is the numerator while b is the denominator
Numerator =5 × ( x + y)
Denominator = -8x ( negative means there is a negative sign before 8)
( product means multiplication)
[tex]\frac{5(x+y)}{-8x}[/tex]
Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..
He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.
What is the percentage profit on the sheep?
Answer:
Let's define:
G = cost of a goat
S = cost of a sheep.
We know that the total cost for a goat and a sheep is £120, then:
S + G = £120
And the cost of the goat is twice the price of the sheep, then:
G = 2*S
To solve this system, we can just replace the second equation into the first one, then we get:
S + (2*S) = £120
3*S = £120
S = £120/3 = £40
This means that each sheep costs £40
And the cost of a goat is:
G = 2* £40 = £80.
Now we know that he sold both of them, where:
s = price of the sheep
g = price of the goat.
We know that he sold both of them for £180, then:
s + g = £180
And the profit of the sheep is twice the profit of the goat, then:
(s - S) = 2*(g - G)
(s - £40) = 2*(g - £80)
s - £40 = 2*g - £160
Then we have a system of equations:
s + g = £180
s - £40 = 2*g - £160
To solve this, we first could isolate g in the first equation:
g = £180 - s
Replacing this in the other equation we get:
s - £40 = 2*( £180 - s) - £160
s - £40 = £360 - 2*s - £160
s - £40 = £200 - 2*s
s + 2*s = £200 - £40 = £160
3*s = £160
s = £160/3 = £53.33
Then the percentage profit for the sheep is:
percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%
Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.
how much simple interest is earned on 3,500 in 3 1/2 years interest rate of 1.5%
Answer:
Loan amount
3,000
$
Interest
1.5
%
Payment
45
$
/
per year
Step-by-step explanation:
Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?
Answer:
x = 2700 y=2900
Step-by-step explanation:
x+y = 5600
5/100 x + 9/100 y = 396
x+y=5600
5x+9y=39600
5x+5y = 28000
5x+9y=39600
-4y = -11600
y= 2900
x = 5600-2900 = 2700
please help me this is all my grade!!!!
LAST QUESTION PLS HELP. (It's not solve for x)
Answer:
40
Step-by-step explanation:
So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.
Answer:
m∠ABC = 26°
Step-by-step explanation:
13x+6 + 8+3x + 70 = 180
16x + 84 = 180
16x = 96
x = 6
m∠B = 8+3(6) = 26°
12 Units to the right of zero on a number line
Answer:
12
Step-by-step explanation:
0 + 12 = 12
Answer:
12
Step-by-step explanation:
the 2 numbers 12 units away from 0 are 12 and -12
since it's to the right of 0, it's positive
I need help who ever get it right get brainly
Answer:
m<a = m<c since those two angles are vertical angles.
m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.
Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!
what is the slope between (5,0) and (6,0)
Answer:
m=0
Step-by-step explanation:
Can someone help me ASAP
Determine the amounts horizontally and vertically that the given point was translated.
1. A translated to B
2. A translated to C
3. D translated to B
4. C translated to D
5. B translated to C
Answer:
OPTION B I THINK SOOOO
PLS MAKA ME BRAINIST PLS
Step-by-step explanation:
HOPE YOU HELP
Answer:
1. x = 1
y = -7
2. x = 9
y = -5
3. x = -6
y = -5
4. x = -2
y = 3
5. x = 8
y = 2
Step-by-step explanation:
Count until you get from the first point to the next.
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height
Answer:
6 cm
Step-by-step explanation:
What is the value of x in the circle on the right?
plz help me with these questions tomorrow is my exam and i need to practice them
Answer:
good luck !!!!!!!
hope this help for you !!!!!
A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J
Answer:C
Step-by-step explenation: m=134kg,h=72m,g=10m/s
PE=mgh
PE=(134kg)(10m/s^2)(72m)
PE=964800J
4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib
Answer:
2/7
Step-by-step explanation:
There are 7 days in a week, and 2 days start with the letter T.
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.
A number line going from negative 2 to positive 2.
Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1
Answer:
its 145
Step-by-step explanation:
Answer:
D: –10
Step-by-step explanation:
edge2020
Help me please with this question
Answer:
107cm
Step-by-step explanation:
The the answer is 107 because you have to add up all of the numbers.
Sam is making a delivery to a store. The total trip will be 410 miles. He is driving at a constant rate of 65 miles per hour. He has already driven 20 miles. How much longer will it take him to get to the store?
Answer:
6 hours
Step-by-step explanation:
20 + 65x=410
65x=390
x=6
What’s the answer of value v?
Answer:
v = 9
Step-by-step explanation:
6v - 4 = 50
6v = 54
v = 9