Answer:
The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years
Step-by-step explanation:
The given parameters are;
The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year
The distance between current LA and San Francisco = 470 km
From the formula for speed, s, we have
Speed = Distance/Time
Therefore, Time, t = Distance/Speed
The time, t it will take LA and San Francisco to be next to each other is given as follows;
t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)
t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years
Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.
2. A, B, and C are the centers of the 3 circles. How many
equilateral triangles are there in this diagram?
5 equilateral triangles.
Hope this helps.
trigonometry help ! tysm
Answer:
a = 50 degrees
b = 85 degrees
c = 95 degrees
d = 82 degrees
e = 125 degrees
f = 95 degrees
g = 110 degrees
h = 35 degrees
Step-by-step explanation:
1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.
Solve for a, and we get a = 50 degrees.
2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.
c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.
3. d is 82 degrees, as it is an alternate interior angle with the 82.
e is 125 degrees, as it is corresponding with the 125.
4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.
5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.
6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.
We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.
What is the coefficient of a plain
variable such as x or a?
1
0
Answer:
1
Step-by-step explanation:
If it was 0, then the variable would not be there since anything times 0 is 0. Now you might be wondering how it is 1. Anything times 1 is itself, so there is no need to write x as 1x, you can just write it as x. Same thing with a. No need to write 1a, just a
The coefficient of a plain variable is 1.
What is coefficient?A coefficient is a number multiplied by a variable.
Whenever a variable is given without any coefficient, we consider the coefficient as 1, because multiplying any digit or variable by 1 does not change its value.
Hence, The coefficient of a plain variable is 1.
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Jesse works in construction and is planning the layout of a client’s garage. The only requirement is for the length to be twice as long as the width. If the area of the garage must be 288 square feet, what must the dimensions be?
Answer:
Width = 12 foot
Length = 24 foot
Step-by-step explanation:
Let
Width=x
Length=2x
Area = 288 square feet
Area of the garage = Length × width
288 = 2x * x
288= 2x^2
Divide both sides by 2
288 / 2 = x^2
144= x^2
Find the square root of both sides
√144 = √x^2
12 = x
Therefore,
x=12
The dimensions will be:
Width = x
= 12
Length = 2x
=2(12)
=24
Width = 12 foot
Length = 24 foot
what is the solution to 12x+18=4(5x-3) A. 1 1/2 B. 3 3/4 C. 7/8 D. 4/15
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]12x+18=4(5x-3)[/tex]
Distribute the right:
[tex]12x+18=20x-12[/tex]
Add 12 to both sides:
[tex]12x+30=20x[/tex]
Subtract 12 from both sides:
[tex]30=8x[/tex]
Divide both sides by 8:
[tex]x=30/8[/tex]
Reduce:
[tex]x=15/4[/tex]
Put into mixed fractions:
[tex]x=12/4+3/4=3\text{ } 3/4[/tex]
Our answer is B :)
Answer:
[tex]B. \:3\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]12x+18=4(5x-3)\\\\\mathrm{Expand\:}4\left(5x-3\right):\quad 20x-12\\12x+18=20x-12\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\12x+18-18=20x-12-18\\\\Simplify\\12x=20x-30\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\12x-20x=20x-30-20x\\\\Simplify\\-8x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-8\\\frac{-8x}{-8}=\frac{-30}{-8}\\\\Simplify\\x=\frac{15}{4}\\\\15\div 4 = 3remainder3\\\\=3\frac{3}{4}[/tex]
Evaluate the following given x=5, and y=7
\large \frac{14x}{10y}=
Answer:
1
Step-by-step explanation:
Given
[tex]\frac{14x}{10y}[/tex] ← substitute x = 5 and y = 7 into the expression
= [tex]\frac{14(5)}{10(7)}[/tex]
= [tex]\frac{70}{70}[/tex]
= 1
A bottle of 150 vitamins costs $5.25. What should a bottle with 250 vitamins cost?
Answer:
8.75
Step-by-step explanation:
because it had increase in percent is about 70 % which is 70% do the same to 5.25 which is 8.75
Answer:
$8.75
Step-by-step explanation:
We can use ratios to solve
150 vitamins 250 vitamins
------------------ = ------------------
$5.25 $x
Using cross products
150x = 250 (5.25)
150x =1312.5
Divide each side by 150
x =1312.5/150
x =8.75
ten less than the prouduct of six and a number is 32. which equation would help you find the number
Answer:
6x-10 =32
Step-by-step explanation:
Let the number be x
the product of 6 and a number
6x
ten less than
6x-10
That is equal to 32
6x-10 =32
Given point (-6, -3) and a slope of 4, write an equation in point-slope form. A. y - 3 = 4(x - 6) B. y + 3 = 4(x - 6) C. y + 3 = 4(x + 6) D. y - 3 = 4(x + 6)
Answer:
C
Step-by-step explanation:
So we have the point (-6,-3) and a slope of 4.
And we want to write this into point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Therefore, substitute in 4 for m and let (-6,-3) be x₁ and y₁, respectively.
Therefore:
[tex]y-(-3)=4(x-(-6))[/tex]
Two negatives make a positive:
[tex]y+3=4(x+6)[/tex]
The answer is C
NEED HELP ASAP! What is the answer
Answer:
1/5
Step-by-step explanation:
non collinear means that they don't lie on the same line
so the probability is 1/5
this is because there are 5 points in total ( Q, R, S, T, AND W)
and only 1 can be non collinear (Q)
(non collinear point pair can be Q and R, Q and S, Q and T or Q and W )
Solve for x 33x+10=5-2x
Our equation: 33x + 10 = 5 - 2x
Step 1:
To solve for x, we need to remember to isolate the variable (that is our way to solve for x). To do that, we add 2x on the right side of the equation to cancel -2x out. Then, we add 2x on the left of the equation. The equation becomes:
[tex]35x+10=5[/tex]
Step 2:
We subtract 10 from both sides (to cancel out the 10 on the left). Equation:
[tex]35x=-5[/tex]
Step 3: Divide 35 on both sides to get our x value.
[tex]\frac{35x}{35}=x\\\\\frac{-5}{35} =\frac{-1}{7}[/tex]
Answer: [tex]x=\frac{-1}{7}[/tex] Hope this helps!
Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?
Answer:
[tex]P(M) = \frac{1}{3}[/tex]
The game is not a fair game
Step-by-step explanation:
We start by listing out the sample space
Number Cube 1: {1,2,3,4,5,6}
Number Cube 2: {1,2,3,4,5,6}
Sample Space (S) of the sum of the 2 cubes;
[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
[tex]n(S) = 36[/tex]
Next, is to list out all multiples of 3; Represent this with M
[tex]M = \{3,6,3,6,6,9,6,9,6,9,9,12\}[/tex]
[tex]n(M) = 12[/tex]
Your probability of winning is the probability of M and is calculated as thus;
[tex]P(M) = \frac{n(M)}{n(S)}[/tex]
[tex]P(M) = \frac{12}{36}[/tex]
[tex]P(M) = \frac{1}{3}[/tex]
The probability of Kyle winning, P(K) = 1 - P(M)
[tex]P(K) = 1 - \frac{1}{3}[/tex]
[tex]P(K) = \frac{2}{3}[/tex]
The game is not a fair game because;
The probability of you winning and the probability of Kyle winning are not equal;
As a result of a transfer from one school to another, a boy has to walk one
and a half times the distance he was walking from home to school. If he
walks at the same pace, how long will he take to walk to school if he was
taking 43 minutes previously?
Answer:
Let the distance of school and house is x k m
Then time taken at speed 2.5 km\hr=
2.5
x
hr
And time taken at speed 4 km\hr=
4
x
hr
∴
2.5
x
−
4
x
=
60
12
⇒
10
4x−2.5x
=
5
1
⇒x=3 km
Then the distance of school and house is 3 k m
may this help you
make x the subject m=x+a/b-k
Answer:
x = m - a/b + k
Step-by-step explanation:
m = x + (a / b) - k
switch sides
x + a/b - k = m
subtract a/b - k from both sides
a + a/b - k - (a/b - k) = m - (a/b - k)
therefore,
x = m - a/b + k
I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please
Answer:
Step-by-step explanation:
To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10. Breaking down the values in multiples of 10 will give;
1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)
Express in exponential form
1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)
1,000,000 = (10³) * (10³)
1,000,000 = 10³⁺³
1,000,000 = 10⁶
Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶
For 10 * 10:
10 * 10 = 10¹ * 10¹
10 * 10 = 10¹⁺¹
10 * 10 = 10²
10 * 10 = 1 * 10²
The value of the expression 10*10 in exponential form is 1 * 10²
For 10,000 * 10:
10,000 * 10 = (10*10*10*10) * 10
10,000 * 10 = (10⁴) * 10¹
10,000 * 10 = 10⁴⁺¹
10,000 * 10 = 1 * 10⁵
Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵
Help me please I need this for my test tomorrow pleaseeeee!!!!!!
Answer:
st
Just substitute in the given values
Step-by-step explanation:
Hey, there!!
You can solve it simply,
1.
Given,
x= 1 , y=2 , z= 3
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ {1}^{2} } - \frac{1}{2 + 3} [/tex]
[tex] = 1 - \frac{1}{5} [/tex]
Taking LCM,
[tex] = \frac{5 - 1}{5} [/tex]
Therefore, the final answer is 4/5.
2.
Given,
x= 1 , y= -2, z= -1.
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ {1}^{2} } - \frac{1}{ - 2 - 1} [/tex]
Taking LCM,
[tex] = \frac{ - 3 - 1}{ - 3} [/tex]
[tex] = \frac{ - 4}{ - 3} [/tex]
Cancelling the minus sign,
[tex] \frac{4}{ 3} [/tex]
is the final answer.
3.
Given,
x= -3, y= -1, z= 4
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ {( - 3)}^{2} } - \frac{ - 3}{ - 1 + 4} [/tex]
[tex] = \frac{1}{9} - ( - 1)[/tex]
[tex] = \frac{1 + 9}{9} [/tex]
Therefore, the answer is 10/9.
4.
Given,
x= 1/2, y=1, z=1.
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ ( { \frac{1}{2}) }^{2} } - \frac{ \frac{1}{2} }{1 + 1} [/tex]
Simplifying them ,
[tex]1 \times \frac{4}{1} - \frac{1}{2} \times 2[/tex]
[tex] = 4 - 1[/tex]
Therefore, the answer is 3.
Hope it helps...
Find three consecutive integers whose sum is 24.
Answer: 7 8 and 9
Step-by-step explanation:
7+8=15 and 15+9= 24 so 7, 8, 9 equal 24
Step-by-step explanation: This problem states that the sum of 3
consecutive integers is 24 and it asks us to find the integers.
You can represent the integers as I have down below.
Then solve from there, which I have also shown below.
Don’t just solve for x. Make sure you list all the
integers that the problem asks you to find.
thw difference of two fractions is 4 2/7 one do the fraction is 2 3/5 find the other fraction
Answer:
241/35 = 6 31/35
Step-by-step explanation:
2 3/5 + 4 2/7 = 241/35
what number is the opposite of 0
Answer:
No opposite
Step-by-step explanation:
Zero has no opposite because it is neither positive or negative.
The value of the number that is the opposite of 0 is 0
How to determine the number that is the opposite of 0From the question, we have the following parameters that can be used in our computation:
Number = 0
By definition:
The number that is the opposite of a number x is -x
using the above as a guide, we have the following:
Opposite = -0
Evaluate
Opposite = 0
Hence, the number that is the opposite of 0 is 0
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Find the equation for the line parallel to y=x+3 which has the same y intercept as 2x+3y=12
Answer:
[tex]y=x+4[/tex]
Step-by-step explanation:
Two parallel lines will have the same slope:
[tex]y=mx+b[/tex]
This is the y-intercept equation, where m is the slope and b is the y-intercept:
[tex]y=x+3[/tex]
The slope is x, or 1x, so the parallel line is also x.
Find the y-intercept:
You do this by taking the equation given and solving for y:
[tex]2x+3y=12[/tex]
Isolate the variable y. Subtract 2x from both sides:
[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]
Isolate y by dividing both sides by 3:
[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]
Rearrange in slope-intercept form:
[tex]y=-\frac{2}{3}x+ 4[/tex]
The y-intercept of this equation is 4.
Now make the equation using the given information:
[tex]y=x+4[/tex]
:Done
Find all positive integers a,b,c with the property a+b+c=abc
Answer:
you need one of them to be 0 and the other 2 the negative of each other.
or they must have the same sign and be 1,2,3 (or -1, -2 and -3)
sequence not effect the answer
Step-by-step explanation:
find the equation of the line that is parallel to the given line and passes through the given point
[tex]x+4y=-6 ; (8, -3)[/tex]
Answer:
[tex]\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}[/tex]
[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}[/tex]
[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}[/tex]
[tex]x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1[/tex]
[tex]\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4[/tex]
Write in order from least to greatest. 0.75, 0.39, 0.2, 0.35
A)0.75,0.35, 0.39, 0.2
B)0.2, 0.35, 0.39, 0.75
C)0.2, 0.39, 0.35, 0.75
D)0.75, 0.39, 0.35, 0.2
Answer:
.2,.35,.39,.75
Step-by-step explanation:
u just arrang in order
The difference between 30% of 400 and 15% of 400 is a.)200 b.)150 c.)60 d.)30
Answer:
C
Step-by-step explanation:
The difference between 30 and 15 is 15
then multiply the 15 % with 400
and you will get the value 60 which is the answer you want
Answer:
C. 60
Step-by-step explanation:
To find the difference between them, we must:
1. Find the amount of the percentage.
(Percent (%) is always over 100)
30% of 400 = 30/100 × 400/1
=12,000/100 = 120
So 30% of 400 is 120.
15% of 400 = 15/100 × 400
=6,000/100 = 60
So 15% of 400 is 60.
2. Then subtract the amount of the percentages to find their difference.
120 - 60= 60
So the difference between 120 and 60 is 60.
I hope this helps! I'm sorry if it's wrong or too complicated.
what is another way to Express 42 + 24
Answer:
(40+2)+(6x4)
Step-by-step explanation:
Forty plus two is forty-two, and six times four is twenty-four. So, add them together and you'll get the same answer! Hope this helps!
i need help ASP. f(x)=1-3X and g (x)=x+4 calculate fg(-2)
First replace x with -2 in the g(x) equation and solve:
G(x) = x + 4 = -2 + 4 = 2
Now replace x in the f(x) equation with the solution of g(x).
F(x) = 1-3(2) = 1-6 = -5
Fg(-2) = -5
how to calculate rational numbers
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Hi my lil bunny!
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The simplest method to find a rational number between two rational numbers x and y is to divide their sum by 2.
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Find the value for “x”; 2 – 7x = -19
Step-by-step explanation:
2+19=7x
21=7x
21÷7=7x÷7
3=x
..
A cube has a side length of 14 meters. What is the volume of the cube?
Volume of cube = side length^3
Volume = 14^3
Volume = 2,744 cubic meters
Answer:
v=x^3
14^3=2744
.....
Distance between -5 and 3. A) WRITE THE SUBTRACTION PROBLEM.
Answer:
3 - ( -5)=
8
Step-by-step explanation:
To find the distance
3 - ( -5)=
3+5
8