Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
Zachary is an engineer and studies trains. He found this interesting problem involving a passenger train and a freight train:
A passenger train left New York and traveled North while a freight left from the same place, at the same time and traveled South. After traveling for 6 hours the trains were 720 miles apart. If the passenger train was traveling at 80 mph, how fast was the freight train traveling
Answer:
40 m/hr
Step-by-step explanation:
6 hours * 80 m/hr + 6 hours * x m/hr = 720 miles
6 * 80 + 6 * x = 720
x = 40 m/hr
Please help me. I will mark brainliest
Answer:
Step-by-step explanation:
Jevator has a weight limit of
7. There are 3 people inside
An elevator has a weight limit of 1 ton there are 3 people inside the elevator Each person weighs 150
pounds. How many more
Pounds can the elevator safely hold?
450 pounds
850 pounds
1,550 pounds
1,850 pounds
Answer:
i think it would be 1550?
Step-by-step explanation:
im pretty sure you add teh weight of the three people and convert it to one ton
Expand and simplify (4x−3y)(6x−5y).
Answer:
24x^2+15y^2-38xy
Step-by-step explanation:
(4x-3y)(6x-5y)
= 24x^2-20xy-18xy+15y^2
=24x^2+15y^2-38xy
Find the volume of a hemisphere that has the radius of 3 m to the nearest 10
(PLEASE ANSWER)
What is the solution for 2.5x-5=5?
Answer:
Simplifying
2.5x + -5 = 5
Reorder the terms:
-5 + 2.5x = 5
Solving
-5 + 2.5x = 5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 2.5x = 5 + 5
Combine like terms: -5 + 5 = 0
0 + 2.5x = 5 + 5
2.5x = 5 + 5
Combine like terms: 5 + 5 = 10
2.5x = 10
Divide each side by '2.5'.
x = 4
Simplifying
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
2.5x-5=5
isolate the variable to find your answer
2.5x-5=5
+5>+5
2.5x=10
divide by 2.5
10/2.5=4
x=4
Write an expression that shows 104.
Answer:
k + 104
Step-by-step explanation:
k + 104
What number has 6 tens and 1
more one than tens?
Answer:
17
Step-by-step explanation:
Calculate the perimeter of the figure shown below.
5 ft
5 ft
10 ft
18 ft
Answer:
48
Step-by-step explanation:
10+5+18+15
pls mark brainliest
Which fractions are equivalent to 1 2 ? Select all that apply. A. 2 4 B. 3 6 C. 3 4 D. 4 8
Answer:
A , B And D
2/4 divide both numbers by to and you get 1/2
3/6 divide both numbers by 3 and you get 1/2
4/8 divide both numbers by 4 and you get 1/2
x^2-6x+1=0 solve by completing square
Answer:
x = 3 ± 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
x² - 6x + 1 = 0 ( subtract 1 from both sides )
x² - 6x = - 1
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 1 + 9
(x - 3)² = 8 ( take square root of both sides )
x - 3 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 3 to both sides )
x = 3 ± 2[tex]\sqrt{2}[/tex]
What is the approximate surface area of the figure? Use 3.14 for pi. 65.72 cm² 113.04 cm² 37.68 cm² 75.36 cm²
113.04 cm²
==========
The figure given is a sphere with a radius of 3 cm
formula for surface area of sphere : 4πr²
Solve:
⇒ 4πr²
⇒ 4(3.14)(3)²
⇒ 113.04 cm²
113.04 cm²
Solving it:
The SA given is 4πr²
To get your answer
First, you multiply these
4πr²
Add/ Plug-in the radius:
4(3.14)(3)²
And this is your answer:
113.04 cm²
I have attached an image showing this is the correct answer!
Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.
Answer:
56°, 84°, 3 unitsStep-by-step explanation:
Properties of a parallelogram
Two adjacent angles are supplementaryOpposite angles are congruentOpposite sides are parallel and congruentUse the properties to find the required parameters
1) Find m∠YXV
m∠YXV + m∠VXW + m∠VWX = 180°m∠YXV + 40° + 84° = 180°m∠YXV = 180° - 124°m∠YXV = 56°2) Find m∠Y
m∠Y = m∠W = 84°3) Find x
2x = 6x = 6/2x = 3Answer:
m∠YXV = 56°
m∠Y = 84°
x = 3
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠W + m∠WVX + m∠VXW = 180°
⇒ 84° + m∠WVX + 40° = 180°
⇒ m∠WVX = 56°
As VW ║ YX and YV ║ XW then m∠WVX = m∠YXV
So m∠YXV = 56°
In a parallelogram, opposite angles are congruent
⇒ m∠Y = m∠W
⇒ m∠Y = 84°
In a parallelogram, opposite sides lengths are congruent
⇒ VW = YX
⇒ 2x = 6
⇒ x = 6 ÷ 2
⇒ x = 3
What is the square root of -2i?
Answer:
1-i and -1+i
Step-by-step explanation:
We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:
[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]
[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]
[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]
Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:
When k=1
[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]
[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]
[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]
[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]
When k=0
[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]
[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]
[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]
Thus, the square roots of -2i are 1-i and -1+i
please help me if you can tysm! :))))
Answer:
9.9
Is the answer to the question
23, 92, 368, ..
Find the 6th term.
Answer:
6th term = 23,552
Step-by-step explanation:
Mutilyby 4 from left to right
368/92 =4--------------- 92x4= 368
92/23=4--------------- 23x4 =92
1) 23
2) 23x4= 92
3) 92x4=386
4) 386x4=1,472
------and so on
From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3?
A) 1/2
B) 7/16
C)15/32
D)5/8
Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:
B) 7/16
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of 32 numbers.Those that are divisible by 3, 5 or both are: {3, 5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25, 27, 30}, that is, 14 numbers.Hence the probability is given by:
p = 14/32 = 7/16.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use section formula ~
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]
And since mid point divides a line segment Into two equal parts, m : n = 1 : 1
so, take m = n = 1
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]
Now, let's find y - coordinate ~
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]
So, coordinates of midpoint is ~
[tex]\qquad \sf \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]
In a pizza restaurant, you can get a basic pizza with two toppings: cheese and tomato.
You can also make up your own pizza with extra toppings. You can choose from four
different extra toppings: olives, ham, mushrooms and salami.
Ross wants to order a pizza with two different extra toppings.
How many different combinations can Ross choose from?
The number of different topping combination illustrates combination
Ross have 6 different topping combination to select from
The number of different combinationThe given parameters are:
Extra toppings, n = 4
Toppings to select, r = 2
The number of extra topping that Ross can select is then calculated using the following combination formula
Toppings = nCr
This gives
Toppings = 4C2
Evaluate the combination expression
Toppings = 6
Hence, Ross have 6 different topping combination to select from
Read more about combination at:
https://brainly.com/question/11732255
8th grade mathe help8th grademath heelp
Answer:So for number 35 you will put the qwestion in a calculator... now you have your answer so put that ansor to the side, and solve all of the ones in the answer choices and see which one has a common answer from the one in the problem
Step-by-step explanation:
How do graphs help you understand the data?
Answer:
Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.
HELP ASAP PLS the area of the circle is 64 pi square cm what is the radius of the circle in cm
Answer:
8cm
explanation:
let radius of circle be r
area of circle = 64π cm^2
π×r^2=64π
r^2=64 (cancel out π from both side)
r=√64 ( square root both side to remove the power from r)
r=8 cm
Circle Y has an area of 394.38cm ^ 2 . What is the circumference? Use 3.14 for pi Round to the nearest hundredth.
Answer:
70.38 cm
Step-by-step explanation:
π = 3.14
Area of a circle = πr^2
394.38 = πr^2
125.598726 = r^2
r = 11.2070837 cm
Circumference = 2πr
C = 70.3804856 cm
What is the equation of the line that is perpendicular two and has the same y-intercept as the line with (0,1) and (5,0)
Answer:
its all about reletives so if u take the number then multiply by five u get 56.3
Step-by-step explanation:
u know
Please help me with my math homework
n this world, no one can survive alone. Team up with friends to fend off countless waves of zombies, fight bosses, earn coins, level up, and buy new towers! If you're feeling up for a challenge, try taking on harder bosses on harder difficulties!
Calculate the side lengths of the given scale.
Answer:
x: 4metres
y: 8metres
Step-by-step explanation:
using scale 1:4
x:16 ÷ 4
y: 2×4
Determine whether each set of data represents a linear, an exponential, or a quadratic function.
Answer:
See below ↓↓↓↓
Step-by-step explanation:
Set 1
[tex]\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right][/tex]
⇒ Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]
Set 2
[tex]\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right][/tex]
⇒ y = 5x - 9
⇒ Linear
Set 3
[tex]\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right][/tex]
⇒ Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]
Set 4
[tex]\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right][/tex]
⇒ Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]
After she finished making the cookies, Ashley had 0.945 kg of flour lett. How much flour did she use?
Answer:
[tex]she \: used \: 1.695 \: kg \: of \: flour.[/tex]
Step-by-step explanation:
[tex]2.64 - 0.945 = 1.695[/tex]
A sphere has a radius 4 cm. What is its volume, to the nearest cubic cm? Write your answer to the nearest 10th place and use 3.14 for π???? HELPPPPP ASAP PLEASE!!!!!!!!!!!!!!!AND THANKS
Answer:
267.95
Step-by-step explanation:
Sphere Volume = 4/3 π r³
= 4/3 × 3.14 × 4³
= 803.84/3
= 267.94666...
= 267.95
Factor −4x^2 +6x. Is this a special product?