Answer:
20
Step-by-step explanation:
To find how many times 6 x 10^5 power is greater tan 3 x 10^4 power, we divide the first number by the second. Write an equation!
(6 x 10^5)/(3 x 10^4)=
To divide them, we simply subtract the exponents. 5-4=1.
(6 x 10^1)/(3 x 10^1)
60/30=20
Your answer is 20.
Hope this helps!
Answer:
Your answer would be A)6x105 is 20 times larger than 3x104
All u have to do is get your answer from 6x10^5(which is 600,000) and 3x10^4(which is 30,000) and divide it by each other So it would be 600,000/30,000=20 =^.^=
Step-by-step explanation:
How many buttons are found on a simple calculator? It is measured in the _____.
Answer: The minimum is 16, probably arranged in 4 rows of 4 buttons.
Step-by-step explanation: just grab a calculator lol
Answer: tens
Step-by-step explanation:
Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo?
The correct graph representing the total cost for a group to visit the zoo with an admission fee of $15 per person is a linear graph starting at the origin and increasing by $15 on the y-axis for each additional visitor on the x-axis.
Explanation:The question asks which graph correctly represents the total cost for a group to visit the zoo, with an admission fee of $15 per person. To depict this scenario correctly, we would look for a linear graph that starts at the origin (0, 0), indicating that no cost is incurred without visitors, and then increases positively and linearly as the number of visitors increases. This is because the total cost is directly proportional to the number of visitors, with each additional visitor adding $15 to the total cost.
For example, if 1 person visits, the cost is $15; for 2 people, it's $30, and so on. This relationship would be represented graphically by a straight line, where the slope of the line represents the cost per person ($15). Therefore, the correct graph is one that shows a linear relationship with a slope of $15, where the y-axis represents the total cost and the x-axis represents the number of visitors.
Answer:
A
Step-by-step explanation:
the days are at the bottom 1-7. each day does up by 15 (cost of the tickets)
A wood stove burns 4 same-sized logs in 2 hours.How many logs does the stove burn in 8 hours?
Answer:
16 logs
Step-by-step explanation:
4 logs in 2 hours
8 logs in 4 hours
12 logs in 6 hours
16 logs in 8 hours
Answer:
16
Step-by-step explanation:
16 Because 2 divided by 8 equals 4 then 4x4=16
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answerthe answer is b
Step-by-step explanation:
Answer:
1/4 (n-64)
Step-by-step explanation:
1/4 n-16
We need to factor out 1/4 from each term which means divide each term by 1/4
1/4 ( 1/4 n / (1/4) - 16 / (1/4))
Remember copy dot flip when dividing fractions)
1/4 ( n - 16 * 4/1)
1/4 (n-64)
PLEASE HELP AND EXPLAIN!
The table below shows how much it costs to use a music website. How much will it cost you to use website for 6 months?
Month Cost
First Month .................. Free
Second month .............. $8.50
Each additional month .... $5.25
Answer:
$29.50
Step-by-step explanation:
John has 630 baseball cards he sorts the cards into stacks of 30 how many stacks can we make
Answer:21
Step-by-step explanation:
Divide 630 by 30. 30 goes into 630 21 times
Answer:
21 stacks
Step-by-step explanation:
Divide 630/30
21 stacks
Enjoy!
In August, Cory begins school shopping for his triple daughters. Part A One day, he bought 10 pairs of socks for $2.59 each for 3 pairs of shoes for d dollars each. He spent a total of $135.97. Write and solve an equation to find the cost of one pair of shoes????
Answer: $36.69
Step-by-step explanation:
Okay, so let's first write the equation:
2.59*10 + 3d = 135.97
Now, let's work on isolating d by first simplifying the equation:
25.9 + 3d = 135.97
25.9 + 3d - 25.9 = 135.97 - 25.9
3d = 110.07
3d/3 = 110.07/3
d = 36.69
Okay, now let's check:
2.59*10 + 3*36.69 = 135.97
25.9 + 110.07 = 135.97
135.97 = 135.97
Okay, so so it costs $36.69 per pair of shoe.
Given X(4, -7). What are the coordinates of X" if
X"=R----
A. (-4, 7)
B. (0,9)
C.(-4,9)
D.(0,-7)
B. (0, 9)
Step-by-step explanation:Reflection across x=a is represented by the transformation ...
... (x, y) ⇒(2a-x, y)
Reflection across y=b is represented by the transformation ...
... (x, y) ⇒ (x, 2b-y)
The double reflection, across x=2, y=1 will result in the transformation ...
... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)
For (x, y) = X(4, -7), the transformed point is ...
... X''(4-4, 2-(-7)) = X''(0, 9)
The double reflection across x=2 and y=1 transforms the point X(4, -7) to X''(0, 9), illustrating the sequential application of reflection transformations (4-x, 2-y).
The correct answer is option B.
A reflection across the vertical line x=a is represented by the transformation (x, y) ⇒ (2a-x, y). Similarly, a reflection across the horizontal line y=b is represented by the transformation (x, y) ⇒ (x, 2b-y). The double reflection, across x=2 and y=1, can be expressed by applying these transformations sequentially.
Starting with the point (x, y), the first reflection across x=2 yields (2·2-x, y), and then, the reflection across y=1 gives (4-x, 2·1-y). Combining these transformations, the double reflection is represented by the transformation (x, y) ⇒ (4-x, 2-y).
Now, applying this double reflection to the given point X(4, -7), we get X''(4-4, 2-(-7)) = X''(0, 9). Therefore, the transformed point after the double reflection is X''(0, 9) making option B the correct option.
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Please help.............
Answer:
A. -4
Step-by-step explanation:
J= Jake's Number
A= Amy's Number
2j = 3j+2
-j = 2
j = -2
check: 2(-2) = 3(-2)+2
-4 = -6+2
-4 = -4 (correct)
Jake's number is -2. Amy's is -4
I need help with numbers 7-9 please
Answer:
7. n = 5r + 10
9. [tex] 28.50j + 18s \le 100 [/tex]
Step-by-step explanation:
7.
The table gives you these values
2 20
4 30
6 40
8 50
The left side goes up by 2 each time while the right side goes up by 10 each line.
Using that pattern, fill in a few extra lines. I did it below in bold.
0 10
1 15
2 20
4 30
6 40
8 50
The line 0, 10 shows you that b in y = mx + b is 10. Also from the fist line to the second line, as x goes from 0 to 1, a difference of 1, y goes from 10 to 15, a difference of 5. The slope is difference in y over difference in x, so
slope = m = 5/1 = 5.
The equation is
y = mx + b
y = 5x + 10
The problem uses n instead of y and r instead of x, so you get
n = 5r + 10
9.
One pair of jeans costs $28.50. j is the number of jeans. j number of jeans cost 28.50j.
One shirt costs $18. s is the number of shirts. s number of shirts cost 18s.
The total cost is the cost of the jeans plus the cost of the shirts.
The total cost is 28.50j + 18s.
She can spend up to $100. The total cost of the jeans and shirts can be less than $100 or exactly $100, but it cannot be more than $100.
cost of jeans and shirts must be less than or equal to $100
[tex] 28.50j + 18s \le 100 [/tex]
A drum and burgle corps rents instruments to members. Each burgle rents for $10 per month and each drums rents for $5 per month. Find the monthly income I if members rent 7 burgled and 9 drums. Then find the monthly income if members rent 9 burgled and 7 drums.
Answer:
Case I
$115
Case II
$125
Step-by-step explanation:
Bugles rent for $10 per month
Drums rent for $5 per month
Case I
7 bugles and 9 drums
7 * bugle cost per month + 9 * drum cost per month
7 * 10 + 9* 5
70 + 45
$115
Case II
9 bugles and 7 drums
9 * bugle cost per month + 7 * drum cost per month
9 * 10 + 7* 5
90 + 35
$125
Solve for x: 5x > -20
The answer is x > -4
To get this answer, you divide both sides by 5. This is to undo the multiplication that happens to the 'x' in '5x'. Note that 5x means 5*x or 5 times x, where x is just a placeholder for some unknown number.
Saying x > -4 means you can pick any number larger than -4.
if f(x) = -4^x - 8 and g(x) = 5x + 6, find (f+g)(x)
Answer:
(f+g)(x) = -4^x + 5x - 2
Step-by-step explanation:
if f(x) = -4^x - 8 and g(x) = 5x + 6,
(f+g)(x) = f(x) + g(x)
= -4^x - 8 + 5x + 6
= -4^x + 5x - 2
Answer:
-4^x + 5x - 2
Step-by-step explanation:
By the additive property of function, (f+g)(x) = f(x) + g(x)
Given f(x) = -4^x - 8 and g(x) = 5x + 6
(f+g)(x) = f(x) + g(x)
= -4^x - 8 + 5x + 6
= -4^x + 5x - 2
Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained
This is what i did to get the answer.
225/ 4.5 = 50 seconds to finish the slushy.
Answer:
(a) 225 mm
(b)50 seconds
Step-by-step explanation:
Let the equation that represents this situation is y = mx+ b
Here, y represents the amount left in milliliters and x represents the time in seconds.
It has been given that she drank the slushy at a rate of 4.5 milliliters per second.
So, m = -4.5 (negative because the amount decreases)
And after 17 seconds, 148.5 milliliters of slushy remained
So, when x = 17, y = 148.5
Substituting these values in the above model y = mx +b
148.5 = -4.5(17) + b
148.5 = -76.5 +b
b = 225
Therefore, the model is y = -4.5x + 225
(a)
When x = 0, we have to find y
y = -4.5 (0) + 225
y =225
Thus, 225 mm of slushy was originally in the cup.
(b)
Now, we have to find x for y =0
0= -4.5x + 225
4.5 x = 225
x = 50
So, Mariana took 50 seconds to drink all the slushy.
A water park offers a season pass for $64 per person which includes free
admission and free parking. Admission for the water park is $14.50 per person. Parking is normally $5 for those without a season pass.
a. How many visits to the water park would you have to use for
the season
pass to be a better deal?
b. What would the total cost be for 3 visits with and without a season pass?
Answer:
Part a) The number of visits mus be greater than or equal to [tex]4[/tex]
Part b)
with season pass
The total cost is [tex]\$64[/tex]
without season pass
The total cost is [tex]\$58.5[/tex]
Step-by-step explanation:
Let
x---> the number of visit to the water park
y---> the total cost to visit the water park per person
we know that
[tex]y=(14.50+5)x=19.5x[/tex]
so
Part a) How many visits to the water park would you have to use for the season pass to be a better deal?
For [tex]y=\$64[/tex]
Substitute the value of y in the equation and solve for x
[tex]64=19.5x[/tex]
[tex]x=64/19.5=3.28\ visits[/tex]
therefore
The number of visits mus be greater than or equal to [tex]4[/tex]
Part b) What would the total cost be for 3 visits with and without a season pass?
with season pass
The total cost is [tex]\$64[/tex]
without season pass
The total cost for [tex]x=3\ visits[/tex] is
[tex]y==19.5(3)=\$58.5[/tex]
use the graph to find the value of y = sin theta for the value of theta.
1/4pi radians
a. -0.7
b. 0.7
c. -0.9
d. 0.9
Answer:
y ≈ 0.7
Step-by-step explanation:
locate [tex]\frac{\pi }{4}[/tex] on the x-axis, move up the vertical line until meeting the graph then the horizontal reading gives y ≈ 0.7
Graph the equation 2x + 3y + z = 6.
To graph the equation 2x + 3y + z = 6, which represents a three-dimensional plane, isolate one variable (e.g. z = 6 - 2x - 3y) and choose arbitrary values for the other two variables, then calculate z. The obtained ordered triplets (x, y, z) represent points on the plane and can be plotted to give a visual of the plane.
Explanation:In order to graph the equation 2x + 3y + z = 6, we first need to understand that this is a linear equation in three variables representing a plane in three-dimensional space. Unfortunately, it's challenging to graph a three-dimensional plane manually without specific technology or software.
However, I can explain how you'd approach plotting this. The general process involves initially isolating one variable then choosing arbitrary values for the other two variables. Let's isolate z, for example:
z = 6 - 2x - 3y.
Now, you can choose values for x and y, and subsequently calculate z. You can form ordered triplets (x, y, z) and these would be points of the plane that satisfies the equation. A sufficient number of these points, plotted and confined, will depict a visual of the plane.
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To graph the equation 2x + 3y + z = 6, find the intercepts by setting two variables to zero and solving for the third. Plot these intercepts (0,2,0), (3,0,0), and (0,0,6) on a 3D coordinate system and draw a plane through these points.
To graph the equation 2x + 3y + z = 6, you need to understand that this is an equation of a plane in three-dimensional space. Unlike graphing a line, where you only need two points, graphing a plane requires you to find at least three non-collinear points (points not on the same line) to form a flat surface.
Here is a step-by-step method to graph this plane:
Set z = 0 and solve for y when x = 0 to find the y-intercept. (2(0) + 3y + 0 = 6 gives y = 2).
Set z = 0 and solve for x when y = 0 to find the x-intercept. (2x + 3(0) + 0 = 6 gives x = 3).
Set x = 0 and solve for z when y = 0 to find the z-intercept. (2(0) + 3(0) + z = 6 gives z = 6).
Plot these intercepts on a three-dimensional coordinate system.
Draw a plane that passes through these three points.
These three intercepts, (0,2,0), (3,0,0), and (0,0,6), are enough to define the plane uniquely. Connect these points to form a triangular shape which implies the plane extending infinitely in all directions within the given slope constraints.
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.

Which equation can be used to determine the amount of cherry juice in each mixture?
5c + 3(8 – c) = 36
5c + 3(8 – c) = 8
c + (8 – c) = 8
c + 5 = 5c
Answer:
Step-by-step explanation:O would say the first answer choice
Answer:
The first one.
Step-by-step explanation: Well it is simple, the total has to be 36, none of the other ones show 36 as the total.
solve the system of linear equations by elimination 2x+7y=1 2x-4y=12
[tex]\left\{\begin{array}{ccc}2x+7y=1\\2x-4y=12&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+7y=1\\-2x+4y=-12\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad11y=-11\qquad\text{divide both sides by 11}\\.\qquad\qquad \boxed{y=-1}\\\\\text{Put the value of y to the first equation:}\\\\2x+7(-1)=1\\2x-7=1\qquad\text{add 7 to both sides}\\2x=8\qquad\text{divide both sides by 2}\\\boxed{x=4}\\\\Answer:\ \boxed{x=4\ and\ y=-1\to(4,\ -1)}[/tex]
Melinda starts with $22 and saves $10 each week. George starts with $10 and saves $13 each week. After how many weeks will they have the same amount saved?
Answer: 4
Step-by-step explanation:
Melinda: y = 10x + 22
George: y = 13x + 10
13x + 10 = 10x + 22
-10x -10x
3x + 10 = 22
-10 -10
3x = 12
÷3 ÷3
x = 4
Lets say Y is the amount they will save.
So Melinda's savings could be described by the equation Y=22+10X, where X is the number of weeks. The same goes to George, but his equation would be Y=10+13X.
To save the same amount, their equations must match:
22+10X = 10+13X
Solving this, one gets
12 = 3x
=> 4=x
So the answer is 4 weeks.
A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
a. y= -1/5x+1
b. y= 1/5x+3
c. y= -5x-23
d. y= 5x+27
Answer:
a. y= -1/5x+1
Step-by-step explanation:
If we have 2 points , we can find the slope using the formula
m = (y2-y1)/(x2-x1)
= (-1-2)/(10--5)
=(-1-2)/(10+5)
= -3/15
= -1/5
The slope if -1/5
We can use the point slope form of a line to write an equation
y-y1= m(x-x1)
y-2 = -1/5(x--5)
y-2 =-1/5(x+5)
Distribute the -1/5
y-2=-1/5x -1
Add 2 to each side
y-2+2 = -1/5x -1+2
y = -1/5x+1
Step-by-step explanation:
Use this formula: Y2 - Y1
X2 -X1
Then, use point slope form: y - Y1 = m (x - X1)
m is the slopeY1 & X1 is a point on the lineThe form allows you to identify the slope & the point on the lineFinally, it'll reveal your answer!!! :)
Solve 3[-x + (2x +1)] =x-1
Answer:
x=-2
Step-by-step explanation:
Remove parenthesis 3(-x+(2x+1))=x-1
Collect the like terms 3(-x+2x+1)=x-1
Multiply parenthesis by 3 3(x+1)=x-1
Move terms 3x+3=x-1
Collect the like terms and calculate 3x-x=-1-3
Divide both sides by 2 2x=-4
Answer: x=-2
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPPPPPP
The system results in a false statement
if BCDE is congruent to qpqr then CD is congruent to ?
PQ because it corresponds by order.
The parabola has a focus at (−3, 0) and directrix y = 3. What is the correct equation for the parabola? x2 = −12y x2 = 3y y2 = 3x y2 = −12x
Answer:
[tex]x^2+6x+6y=0[/tex]
Step-by-step explanation:
The distance between the parabola focus and the directrix is 3, then
[tex]p=3.[/tex]
Parabola vertex is placed on the perpendicular line to the directrix and this perpendicular line passes trough the focus. Its equation is x=-3 and parabola vertex coordinates are (-3,1.5).
Branches of the parabola go in negative y-direction, then the equation of the parabola is
[tex](x-(-3))^2=-2\cdot 3(y-1.5),\\ \\(x+3)^2=-6(y-1.5),\\ \\x^2+6x+9=-6y+9,\\ \\x^2+6x+6y=0.[/tex]
Answer:
y2=-12x
Step-by-step explanation:
write the expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression. sec beta - cos beta.
A.1-cos^2beta
B.sin^2beta
C.cos^2beta
D.1
E.sin beta tan beta
Answer:
E
Step-by-step explanation:
The expression given is: sec β - cos β ( i will write "beta" instead of the symbol β)
We know that [tex]sec(x)=\frac{1}{cos(x)}[/tex]
Substituting this into the the expression and doing some algebra manipulation, we have:
[tex]sec(beta)-cos(beta)\\=\frac{1}{cos(beta)}-cos(beta)\\=\frac{1-cos^{2}(beta)}{cos(beta)}[/tex]
Using the identity [tex]cos^{2}(x)+sin^{2}(x)=1\\[/tex] (also [tex]sin^{2}(x)=1-cos^{2}(x)[/tex]), we can now write:
[tex]\frac{1-cos^{2}(beta)}{cos(beta)}\\=\frac{sin^2(beta)}{cos(beta)}\\=\frac{sin(beta)*sin(beta)}{cos(beta)}\\=\frac{sin(beta)}{cos(beta)}*sin(beta)[/tex]
We know [tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex], substituting this, we have:
[tex]\frac{sin(beta)}{cos(beta)}*sin(beta)\\=tan(beta)*sin(beta)[/tex]
Answer choice E is the right answer.
The expression sec β - cos β in terms of sine and cosine simplifies to sin2 β. This is achieved by knowing that secant is the reciprocal of cosine and using the Pythagorean identity in trigonometry.
Explanation:To write the expression in terms of sine and cosine, we start by remembering that secant is the reciprocal of cosine, so sec β = 1/cos β. So, the expression sec β - cos β is equivalent to 1/cos β - cos β.
However, to remove the quotient from the expression, we multiply through by cos β to get 1 - cos2 β. So the expression sec β - cos β simplifies to 1 - cos2 β.
But remember, based on the Pythagorean identity in trigonometry, 1 - cos2 β is also equivalent to sin2 β. So that's our final simplified expression in terms of sine and cosine.
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2x^2 + 5x - 12 solve this expression
Answer:
x=3/2, x=-4
Step-by-step explanation:
2x^2 + 5x - 12
First lets see if we can factor this
(2x ) ( x )
-12 = -1*12 1*-12
- 2*6 2 * -12
- 3*4 3 * -4
2 * one of these pairs - the other pair = +5
2*4 -3 = 5
Put the -3 in the first spot and the 4 in the second spot
(2x-3) ( x+4)
Using the zero product property
2x-3 =0 x+4=0
2x=3 x=-4
x = 3/2
When solving
[tex]4(3 {x}^{2} + 2) - 9 = 8 {x}^{2} + 7[/tex]
Emily wrote
[tex]4(3 {x}^{2} + 2 = 8 {x}^{2} + 16[/tex]
as her first step. Which property justifies Emily's first step?
Answer:
addition property of equality.
Step-by-step explanation:
4(3 x^2 + 2) - 9 = 8 x^2 + 7
We can add 9 to each side, by using the addition property of equality.
a=b then a+c = b+c
In a parking lot of 240 red and blue cars, the ratio of red cars to blue is 3:5
How many red cars are there?
Answer:
There would be 144 red cars.
Step-by-step explanation:
3:5 is equal to 3/5
240 * (3/5) = 144
Answer:
90 red cars
Step-by-step explanation:
sum the parts of the ratio 3 + 5 = 8 parts
divide 240 by 8 to find one part of the ratio
240 ÷ 8 = 30 ← 1 part of the ratio
3 parts = 3 × 30 = 90 ← number of red cars
5 parts = 5 × 30 = 150 ← number of blue cars
Evaluate the expression for x = 5, y = 3, and z = 14 . 5x−6y+20z / 4yz
Substitute the values of x, y and z to the expression:
[tex]x=5,\ y=3,\ z=14\\\\\dfrac{5x-6y+20z}{4yz}=\dfrac{(5)(5)-(6)(3)+(20)(14)}{(4)(3)(14)}=\dfrac{25-18+280}{(12)(14)}\\\\=\dfrac{7+280}{168}=\dfrac{287}{168}=1\dfrac{119}{168}=1\dfrac{119:7}{168:7}=1\dfrac{17}{24}[/tex]