Answer:
7.28 × 1013
Step-by-step explanation:
The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.
Find the gradient of the line segment between the points (-6,2) and (4,3).
Give your answer in its simplest form.
Gradient = 0.1
Step-by-step explanation:
ΔX = 4 – -6 = 10
ΔY = 3 – 2 = 1
Gradient = m = ΔY/ ΔX = 1/10 = 0.1
The gradient of a line segment is a measure of how steep the line is. A line with a large gradient will be steep; a line with a small gradient will be relatively shallow; and a line with zero gradient will be horizontal.
Find the slope of the line. Write your answer in simplest form.
what is the area of the sidewalk
Answer: 105 square feet
Step-by-step explanation:
area is length x width 35 x 3 is 105
Suppose two trains, say A and B are initially 125 miles apart on the same east-west track. Train A is initially to the west of train B. Train A begins to head due east at 25 mph, and train B begins to head due west at 20 mph. To the nearest minute, how long will it take for the two trains to collide?
Answer:
[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
Step-by-step explanation:
Distance between the two trains is 125 miles.
So, when they will collide they would have covered a distance of 125 miles together.
The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
[tex]25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
Find f^-1(x) where
f(x) = 3x+2/x
Given:
Consider the function is
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
To find:
The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
Putting f(x)=y, we get
[tex]x=\dfrac{3y+2}{y}[/tex]
Isolate the variable y.
[tex]xy=3y+2[/tex]
[tex]xy-3y=2[/tex]
[tex]y(x-3)=2[/tex]
[tex]y=\dfrac{2}{x-3}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]
Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].
If we all draw a triangle using the same three side lengths, will we all draw exactly the same triangle?
I JUST WANT POINTS /\ /\
_
HELP PLEASE I NEED ANSWER ASAP!
Answer:
86+18[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18[tex]\sqrt{2}[/tex]. The answer is now 86+18[tex]\sqrt{2}[/tex].
Answer:
111.4556
Step-by-step explanation:
Perimeter = 18 + 25 + 18√2 + 43
Perimeter = 86 + 18√2
Perimeter = 86 + 18(1.4142)
Perimeter = 86 + 25.4556
Perimeter = 111.4556
For every 6 packages Cindy wraps, she uses 1.5 rolls of wrapping paper. If she uses 6 rolls, how many packages has she wrapped?
Answer:
for every 3 packages, she uses 1/2 a roll of wrapping paper
if she uses 2 1/2 rolls.....
(2 1/2) / (1/2) ....* 3
(5/2) / (1/2).....* 3
(5/2 * 2) * 3
5 * 3 =
15 packages <===
Step-by-step explanation:
Answer:
24 packages
Step-by-step explanation:
6/1.5 = 4
4 x 6 = 24
geometry: pls help :(
Francisco forgot to pay the $50 water bill. The company charges you a 14% fine. How much does Francis have to pay including the fine?
Please help I’ll make you the brainiest
Answer:
X= 5, -2
Step-by-step explanation:
This would be the answer if you are looking to "solve"
The area of a circle is 49π in². What is the circumference, in inches? Express your answer in terms of \piπ.
area of circle = π r²
π r²= 49 π
r²= 49 r= √49 r= 7
circumference of circle = 2 π r
= 2×7 × π
= 14 π
The circumference of a circle is 14π.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of πr.
The area of a circle is πr².
We have,
Area of a circle = 49π in².
Area of a circle = πr²
Now,
πr² = 49π
r² = 49
r = 7
Now,
Circumference of a circle.
= 2πr
= 2π x 7
= 14π
Thus,
The circumference of a circle is 14π.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ6
If f(x) = x², then f(2 – 3i) equals
A. -5
B. -5 – 12i
C. 13 – 12i
D. 13
Answer:
A
Step-by-step explanation:
f(2 – 3i) = (2 – 3i)^2
f(2 – 3i) = (2)^2 + (-3i)^2
f(2 – 3i) = 4 + (9)(-1)
f(2 – 3i) = 4 - 9
f(2 – 3i) = -5
These are functions in another function. The result of the function f(2-3i) is -5-12i
Composite functionsThese are functions in another function. Given the function shown below;
f(x) = x²
In order to determine f(2 – 3i), you will replace as 2 - 3i to have:
f(2 - 3i) = (2 - 3i)²
Expand
f(2 - 3i) = 2² - 12i + 9i²
f(2 - 3i) =4 - 12i - 9
f(2 - 3i) = -5-12i
Hence the result of the function f(2-3i) is -5-12i
Learn more on composite function here: https://brainly.com/question/13502804
#SPJ6
Krutika and Natasha win some money and share it in the ratio 4:3. Krutika gets £7 more than Natasha. How much did they get altogether?
Answer:
49
Step-by-step explanation:
The computation of the total amount is shown below:
Let us assume the natasha be 4x
And, the krutika be 3x
Now as per the situation
4x = 3x + £7
x = £7
For natasha = 4(7) = 28
For krutika = 3(7) = 21
So, the total amount is
= 28 + 21
= 49
Label ABC with the following information.
BC = 61
m/A = 31°
Find AC.
Jackson has a gift card to Target for $25, he buys a $5 Lego toy each time he goes Write an equation to represent the money Jackson spends on his gin card. How much money will he have left after 3 trips to Target?
Answer:
x = every time he goes to target.
y = the amount he has left.
25 - 5x = y
After 3 trips, he will have 10 dollars left.
Step-by-step explanation:
25 - 5(3) = y
25 - 15 = 10
Answer:
10
Step-by-step explanation:
25 - 5, 20 - 5, 15 - 5 = 10
13 In 2010, Cool Game Corporation made a profit of $84.7 million.
The profit made in 2010 was 2.2 times the profit the company
made in 2009.
if x ≠ 0 then what is x^0?
Answer:
1
Step-by-step explanation:
Remember that anything to the 0th power is going to be 1 in terms of exponent rules!
Answer:
x
Step-by-step explanation:
because if you are dong it 0 times it would be just x (make sense?)
A box has a length of 4 2/3 inches. How many 1/3 inch cubes would it take to cover the length of the box
Find the reference angle for a rotation of 320°.
Answer:
40°
Step-by-step explanation:
PLEASE HELP PLEASEEEEE
Answer:
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
Answer:
she has 90 feet of ribbon in total and she can cut 270 pieces
Step-by-step explanation:
there's 108 inches in 9 feet
108/4=27
now you have 10 rolls so multiply
27x10=270 ribbons
you have 10 rolls of 9 feet to make ribbons
10x9=90 feet
Answer:
1080 inches
Step-by-step explanation:
26: Solve For U
-4.2=u/5 + 8.3
Answer:
-62.5
Step-by-step explanation:
Answer:
-62.5
Step-by-step explanation:
Simplify this expression.
–6w + (–8) + 1 + (–7w)
A. –w – 7
B. –13w – 7
C. w + 9
D. 13w + 9
Answer:
-13w-7
Step-by-step explanation:
-6w+(-8)+1+(-7w)
-6w-8+1-7w
-6w-7w-8+1
-13w-8+1
-13w-7
Answer:
B. -13w-7
Step-by-step explanation:
First, let's simplify the problem by grouping the like terms together: (-6w), (-7w), and (-8), (1).
Second, now that you know the like terms solve them each individually:
(-6w) + (-7w) = -13w
(-8) + 1 = -7
So your answer is -13w minus -7
round 0.0564 correct to the 1 significant figure
Answer:
0.06
Step-by-step explanation:
Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise
Answer:
it would be 53
Step-by-step explanation:
Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
y = 5x – 2
y = x + 6
What’s the Solutions
Find QR.
Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =
Answer:
QR ≈ 5.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )
6 × sin56° = QR , then
QR ≈ 5.0 ( to the nearest tenth )
What is the solution to the equation?
x/7 +8 = 4
Enter your answer in the box.
x=
PLEASE ANSWER NOW
Answer:-28
Step-by-step explanation: