Answer: v = 793.77 mph
Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:
v = ω.r
where
ω is angular velocity
r is radius of the path
Angular velocity is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:
[tex]\omega = \frac{d \theta}{dt}[/tex]
[tex]\omega = \frac{2\pi}{time}[/tex]
The Earth takes 24 hours to complete a rotation, then angular velocity:
[tex]\omega = \frac{2\pi}{24}[/tex]
[tex]\omega =[/tex] 0.262 rad/h
At a location 40° north, radius is 3033.5 miles, so:
v = 0.262*3033.5
v = 793.77
At latitude of 40°north, linear speed is 793.77mph.
A certain shade of lavender is created by adding 5 cups of purple paint to 8 cups of white paint. a. How many cups of purple paint should be added to 1 cup of white paint? Cups of white paint Cups of purple paint 1 8 b. What is the constant of proportionality?
Answer:
a. [tex]\frac{5}8[/tex] cups of purple paints required.
b. [tex]\frac{5}8[/tex]
Step-by-step explanation:
Given that
Number of purple paints required with 8 cups of white paint = 5
To find:
a. Number of cups of purple paint needed to be added to 1 cup of white paint ?
b. Constant of proportionality.
Solution:
Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.
Let us use the given statement:
8 cups of white paint require = 5 cups of purple paint
Let us divide both sides by 8:
1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint
Answer b.
Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.
Here, the ratio between number of cups of purple paint and number of cups of white paint is:
5:8 or [tex]\frac{5}8[/tex].
so, the answer is: [tex]\frac{5}8[/tex]
I need help again help me pllsssssss
Answer: you end up at (2,2)
Step-by-step explanation:
Answer:
2,2
Step-by-step explanation:
go down to the bottom right corner (5,-5)
move over left 3 boxes
and then up 7 boxes
hope this helps :P
Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sandy arrives with 2 cookies and 10 donuts. How many cookies will Harry need to bring if the total cookie count is 4 dozen
Answer:
22 cookies
Step-by-step explanation:
A dozen items means 12 number of items.
Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container
= 2 [tex]\times[/tex] 6 = 12
Number of cookies brought by Sally = A dozen cookies = 12
Number of cookies brought by Sandy = 2
Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26
Total number of cookies to be brought = 4 dozen = 48 cookies
Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together
48 - 26 = 22 cookies
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
square base and variable height h. The surface area of this box is a
function of its height. Write a function to represent the surface area.
Evaluate the function for h=6.5 in.
Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
Hence, The function that represents the surface area of this box as a
function of its height is S = 32+16H where H is the height of the box
Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
S = 138in²
Hence the total surface area of the box is 138in²
how to do this question plz answer me step by step plzz
Answer:
Adult's ticket is 7, child's ticket is 2
Step-by-step explanation:
Let adult's ticket be "x" and child's ticket be "y"
So, for family 1, the equation would be: 2x+3y=20
And, for family 2, the equation would be: 1x+4y=15
Use the substitution method in the second equation to know what x in terms of y is:
x + 4y = 15 (substact 4y from both sides)
x= 15 - 4y
Plugin y into the first equation:
2(15-4y)+3y=20 (distribute)
30-8y+3y=20 (simplify)
30-5y = 20 (get y by itself)
-5y = -10 (divide by -5)
y = 2
Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):
1x+4(2) = 15 (simplify)
x + 8 = 15 (subtract 8)
x = 7
Answer:
price of adult ticket=7 £
price of childrens' ticket =2 £
Step-by-step explanation:
let x be price for adult and y price for for children
family 1 : 2x+3y=20
family 2: x+4y=15
solve by eliminating : multiply equation 2 by (2) to eliminate x
2x+3y=20
2x+8y=30
subtract the two equations:
2x+3y-2x-8y=20-30
-5y=-10
y=-10/-5
y=2( the price for children)
x+4y=15
x+4(2)=15
x=15-8
x=7 ( the price for adults)
check : 2x+3y=20
2(7)+3(2)=14+6=20
2/3x+15=17 please and thank you
Answer:
x=3
Step-by-step explanation:
2/3x+15=17
first subtract 15 from both sides
2/3x=2
multiply by 3 to eliminate the fraction
2x=6
divide by 3
x=3
Answer:
x=3
Step-by-step explanation:
2/3x +15 = 17
2/3x = 17-15
2/3x = 2
x = 2 / 2/3
x = 2/1 * 3/2
x = 6/2
x = 3
Your hotel sells four types of rooms: double queen beds for $140/night; king bed for $160/night; junior suite for $220, and full business suites for $285. If there are 200, 150, 100, and 50 of each, respectively, what is your average price per room?
Answer:
$176.50
Step-by-step explanation:
Take each room type and multiply the number of rooms by the price of the room. Add the total for prices and add the total for the number of rooms. Divide the total prices by the total number of rooms.
Type of room Number Cost Total
Double queen 140 $200.00 $28,000.00
King 160 $150.00 $24,000.00
Junior Suite 220 $100.00 $22,000.00
Full business 285 $50.00 $14,250.00
$500.00 $88,250.00
Average cos per room $176.50
can someone help me graph this.
Answer:
Use a graphing calc.
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
For the third equation, m = 2
y = 2x + b
3 = 3(2) + b
3 = 6 + b
b = -3
y = 2x - 3
Evaluate 1/3m−1−1/2n when m=21 and n=12
Answer:
[tex]0[/tex]
Step-by-step explanation:
[tex] \frac{1}{3}m - 1 - \frac{1}{2}n = \frac{1}{3}(21) - 1 - \frac{1}{2}(12) = 7 - 1 - 6 = 6 - 6 = 0[/tex]
Answer:
0
Step-by-step explanation:
1/3m - 1 - 1/2n
= 1/3(21) -1 1/2(12)
= 7 - 1 - 6
= 0
Brett and Max are diving. Brett is 34 feet below the surface and Max is 25 feet below the surface. How many feet above Brett isMax?
Answer:
Max is 9 ft above Brett
Step-by-step explanation:
Brett is 34 feet below the surface = -34
Max is 25 feet below the surface = -25
Subtract the heights
-25 - -34
-25 +34
9
Max is 9 ft above Brett
3+g=a/3h
what does a equal
Answer:
a = 3gh+9hStep-by-step explanation:
[tex]3+g = \frac{a}{3h} \\\\Cross\:Multiply\\\\3h(3+g) = a\\9h +3gh = a\\\\a = 3gh+9h[/tex]
Order the following expressions by their values from least to greatest.
Answer:
-2, b, a+c
Step-by-step explanation:
Answer:
All you have to do is switch A + C and B around. (basically if you wrote it out, it would look like this: -2, B, A + C.)
Find the product of 10n5 and 6n2
[tex]10 \times 10 \times 10 \times 10 \times 10 = 2000[/tex]
[tex]6 \times 6 = 36[/tex]
= 2036n
5 pizzes are shared equally between 10 people. What fraction of a pizza does each person receive?
Answer:
1/2
Step-by-step explanation:
an object is dropped from the top of a cliff 675 meters high. its height above the ground t seconds after it is dropped is 675-4.9t^2. determine its speed 7 seconds after it is dropped, the speed if the object 7 seconds after it's dropped in m/sec
Answer:
V= 68.6 m/s
Step-by-step explanation:
height above the ground t seconds after it is dropped is 675-4.9t^2
For seven seconds
Height above ground= 675-4.9(7)²
height above ground= 675-240.1
Height above ground= 434.9 m
But it's dropped from a cliff and we need to find the distance traveled from the too of the cliff
Distance= 675-434.9.
Distance= 240.1
To determine it's speed
V²= U² +2gs
V= velocity we are looking for
U= initial velocity= 0
G= acceleration due to gravity= 9.8 m/s²
s= distance covered
V²= U² +2gs
V²= 0+2(9.8)(240.1)
V²= 4705.96
V= 68.6 m/s
The 14 digits of a credit card are written in the boxes shown.If the sum of any three consecutive digits is 20, what is the
value of A?
Answer:
9
Step-by-step explanation:
Working backwards, the blank box between the 7 and 4 at the end must be 9 in order for the three digits to equal 20. Then we see the pattern of 947 repeated. The whole number would be 94794794794794. That way, any three consecutive numbers would be 20. The number in the box marked a would be 9.
Help ASAP, Brainliest to whoever answers!
Answer:
these are the ten numbers :
0 8 2 6 9 2 0 8 0 0
K - 8 = -7 What is K?
Answer:
1
Step-by-step explanation:
To find the answer of a negative and a positive, you subtract and then keep the symbol of the bigger number. So in the equation 1-8 you subtract 1 from 8, then keep the symbol of the 8 (which is a negative) since it is the bigger number. 1 minus 8 is 7, and the symbol is negative, so the answer is -7. This makes K=1.
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by 4π? A) Irrational Numbers B) Integers C) Natural Numbers D) Rational Numbers
Answer:
Irrational Number
Step-by-step explanation:
The Venn diagram is not attached; However, the question can still be answered
Given
[tex]Number = 4\pi[/tex]
Required
What category of number is the given number
[tex]Number = 4\pi[/tex]
Substitute [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]
[tex]Number = 4 * \frac{22}{7}[/tex]
[tex]Number = \frac{4 *22}{7}[/tex]
[tex]Number = \frac{88}{7}[/tex]
[tex]Number = 12.5714285714......[/tex]
Notice that there's .... at the end of the number;
This implies that, the decimal number still extends
Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction
Answer:
A. irrational number
Step-by-step explanation:
I took the test
I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to do with them. I genuinely need help
Answer:
See below.
Step-by-step explanation:
4)
So we have the expression:
[tex](-6n^{-3})^2[/tex]
We can use the power of a product property, where:
[tex](ab)^n=a^n\cdot b^n[/tex]
So:
[tex]=(-6)^2\cdot(n^{-3})^2[/tex]
For the left, -6 squared is the same as -6 times -6. This equals positive 36.
For the right, we can use the power of a power property. The property says that:
[tex](a^n)^k=a^{nk}[/tex]
So:
[tex](n^{-3})^2=n^{(-3)(2)}\\=n^{-6}[/tex]
So, all together, we have:
[tex]=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}[/tex]
6)
We have the expression:
[tex]-\frac{3x^0}{x^4}[/tex]
First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:
[tex]=-\frac{3}{x^4}[/tex]
And that's the simplest we can do :)
Notes for 6)
We can put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:
[tex]x^n=\frac{1}{x^{-n}}[/tex]
And vice versa:
[tex]\frac{1}{x^{-n}}=x^n[/tex]
So, we can write the above as:
[tex]=-\frac{3}{x^4}\\=-\frac{3}{x^{-(-4)}}\\=-3x^{-4}[/tex]
However, traditionally, we want only positive exponents, so this wouldn't be correct.
Answer:
Step-by-step explanation:
x^m×x^n=x^{m+n}
x^m÷x^n=x^{m-n}
[tex]\frac{1}{x^m} =x^{-m}\\x^{-n}=\frac{1}{x^n} \\(xyz)^m=x^m\times y^m \times z^m \\(x^m)^n=x^{mn}[/tex]
[tex]x^0=1[/tex]
Solve for y.
6 = -2/9v
Answer:
: 1: Exact form : v = - 1/27
: 2 : Decimal form : v = -0.037037037037037037037037...
Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.
I hope this helps you out.
f(x) = 5x + 12. Find f−1(x)
Answer:
(x-12)/5
Step-by-step explanation:
Is x^4+3x^3-x+7 in standard form
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The standard form of a polynomial has the exponents decreasing left to right. Here, the exponents are 4, 3, 1, 0, so are decreasing left to right. The expression is in standard form.
Fatima has 2 gallons of milk she wants to pour all milk into glasses which each hold 1 cup (1/16 gallon). how many cups can she fill
Answer:
32 cups
Step-by-step explanation:
1 cup= 1/16 gallon
? cup= 2 gallon ( crisscross)
⇒[tex]\frac{2*1}{\frac{1}{16} }\\ \frac{2}{\frac{1}{16}} \\2*16=32 cups[/tex]
Need help with this question. I tried simplifying the radical, but apparently it’s not the answer
Answer:
-1/5+(√3)/20i or -0.2+0.05√3i
Step-by-step explanation:
[tex]\dfrac{-8+\sqrt{-12}}{40}=-\dfrac{8}{40}+\dfrac{2\sqrt{3}i}{40}=\boxed{-\dfrac{1}{5}+\dfrac{1}{20}\sqrt{3}\,i=-0.2+0.05\sqrt{3}\,i}[/tex]
_____
Comment on answer form
Satisfying the input format requirements of a computer is always problematic. One never knows if fractions or decimals are preferred, whether radicals must be simplified, and so on. If no clues are offered by general instructions, other questions, or previous experience, then it might be useful to consult your instructor.
4x + 6 - 11 help needed
Answer:
4x-5Step-by-step explanation:
[tex]4x+6-11\\\\\mathrm{Add/Subtract\:the\:numbers:}\:6-11=-5\\=4x-5[/tex]
6(n - 2) - 8 = 22 + 4(2-n)
Answer:
5
Step-by-step explanation:
6n -12 -8=22+8-4n
6n-20=30-4n
6n=50 -4n
10n = 50
5
Round off to three significant digits: 4.53619
Answer:
4.54
Step-by-step explanation:
The 4th digit (6) is greater than 4, so the 3rd digit (3) is increased by 1 before you drop the remaining digits:
4.54
12d^2 + 3dx + x
- (-4d^2 + 2dx - 8x)
Answer:
dx+9x+16d^2 dont know it it helps any but i tried
Step-by-step explanation:
5+11n=13n help with this one too..
Answer:
n = 2.5
Step-by-step explanation:
We need to isolate n by first moving it to one side.
11n = 13n - 5
11n - 13n = -5
-2n = -5
n = -5/-2
n = 2.5
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Answer:
n = 5/2
Step-by-step explanation:
5 + 11n = 13n
5 = 13n - 11n
5 = 2n
n = 5/2
Check:
5 + 11*5/2 = 13*5/2
10/2 + 55/2 = 65/2