Step-by-step explanation:
To solve for z, we can first get rid of the coefficient of z on the left side of the equation by dividing both sides by q. Then, we can simplify the right side of the equation by dividing both terms by 12. This gives us:
z = q12/q
z = 12
Therefore, z equals 12.
Please help and please show your work i need to know how to do this please I beg
Answer:
so first do the top one so that would be 7*2 which is 14
and then the bottom which is 5*12 so that would be 60.
60+14 is 74!! 74sq in!
Step-by-step explanation:
what value can you add in the blank space in the expression x^2 8x 3 _ to complete the square
The expression x^2 + 8x + 3 to complete the square is 16.
The value we need to add in the blank space in the expression x^2 + 8x + 3 to complete the square is 16.
Here's how we can get that value:
Step 1: Divide the coefficient of the x term by 2 and square the result. That is, (8/2)^2 = 16.
Step 2: Add the value obtained in Step 1 to the expression in the blank space. Thus, x^2 + 8x + 3 + 16 = x^2 + 8x + 19.
Now, we have the perfect square trinomial x^2 + 8x + 16, which is the square of (x + 4).
Therefore, we can write x^2 + 8x + 19 as (x + 4)^2 - 3.
Thus, the value we can add in the blank space in the expression x^2 + 8x + 3 to complete the square is 16.
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Solve by substitution:
y=x-12
8x+8y=-16
Answer:
\((x,y) = ( 5 , - 7)\)
Step-by-step explanation:
we would like to solve the following system of linear equation by substitution:
\( \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}\)
notice that, we're already given the value of y therefore simply substitute it to the II equation
\(8x + 8(x - 12) = - 16\)
distribute:
\(8x + 8x - 96= - 16\)
simplify addition:
\(16 x- 96= - 16\)
isolate -96 to left hand side and change its sign:
\(16 x= - 16 + 96\)
simplify addition:
\(16 x= 80\)
divide both sides by 16 and that yields:
\( \boxed{x= 5}\)
now substitute the got value of x to the first equation:
\(y = 5- 12\)
simplify subtraction:
\(y = - 7\)
hence,
the solution is (x,y)=(5,-7)
Solve by substitution :
y = x - 12
8x + 8y = -16
S O L U T I O N :y = x - 12 ------- eq(1)
8x + 8y = -16 ------- eq(2)
Finding x ⤵
Putting y = x - 12 in eq(2) we get
8x + 8(x - 12) = -168x + 8x - 96 = -1616x = 96 - 1616x = 80x = 80/16x = 5Finding y ⤵
Putting x = 5 in eq(1) we get
y = x - 12y = 5 - 12y = -7Hence, x is 5 and y is -7
What is the value of StartFraction 1 Over 6 Superscript 0 EndFraction?
Answer:
\(\frac{1}{6^0} = \frac{1}{1} = 1\)
Step-by-step explanation:
If I understand the question correctly, the fraction is \(\frac{1}{6^0}\). To solve it, we need to first (according to PEMDAS) do 6⁰, which is of course equal to 1. Then 1 divided by 1 is 1.
multiply (5x^2-6x+2) x (4x^2-3x)
Answer:
\(20x^{4} - 39x^{3} + 26x^{2} - 6x\)
hope this helps
I need help with these equations as well
Answer:
0=10
0= -5
Step-by-step explanation:
\(1. - 10 = - 14x + 14x\)
cancel (-14) with (+14)
\( - 10 = 0\)
so , The above equation has no solution .
-----------------------------------\((ii) \: 3(3 - x) + 5x = 2(x + 2) \\ \\ 9 - 3x + 5x = 2x + 4 \\ \\ 9 + 2x = 2x + 4 \\ \\ 2x - 2x = 4 - 9 \\ \\ 0 = - 5.\)
The above equation has no solution .
5 of 5
Pip, Angad and Nick share some sweets in
the ratio 3:1:1. Pip gets 36 more sweets
than Nick. How many sweets are there
altogether?
4:find the measure of angle c.
Answer: 98 Degrees
Step-by-step explanation: A straight line is 180 degrees so, Take 180 minus 82 : 180 - 82 = 98 Degrees
Solve for x. Enter the solutions from least to greatest.
(x + 7)² - 49 = 0
lesser x =
greater x =
Answer:
Lesser x = -14
Greater x = 0
Step-by-step explanation:
Given equation:
\(\sf (x+7)^2-49=0\)
Add 49 to both sides:
\(\implies \sf (x+7)^2-49+49=0+49\)
\(\implies \sf (x+7)^2=49\)
Square root both sides:
\(\implies \sf \sqrt{(x+7)^2}=\sqrt{49}\)
\(\implies \sf x+7=\pm7\)
Solve for x:
\(\implies \sf x+7=7 \implies x=0\)
\(\implies \sf x+7=-7 \implies x=-14\)
As -14 < 0
Lesser x = -14Greater x = 0find the product of 51 and -2.5
Answer: -127.5
Hope this helps!
Answer:
-127.5
you have to multiply -2.5 with 1
then -2.5 with 50
then add
you get -127.5
The length of a line is x kilometres.
Write down an expression, in terms of x, for the length of the line in metres.
Length = 1000x
Length= x km
Length = (x)1000
This is because however many kilometers there are, your multiplying it by 1000 since each kilometer is equal to 1000 miles.
1000x is your final answer
1 km = 1000 meter
Heart or brainliest :)
42. Find the equation of the sphere with center C(−2,3,7) that is tangent to the plane 2x+3y−6z=5.
To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.
The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:
Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)
In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:
Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)
= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)
= |-42| / sqrt(49)
= 42 / 7
= 6
So, the radius of the sphere is 6.
The equation of a sphere with center C(-2, 3, 7) and radius 6 is:
(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2
Simplifying further, we have:
(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36
Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.
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Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australla. Whille booking her
family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los
Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet,
Sheleah does a little research and stumbles upon the following graph and facts about the Jet's fuel consumption.
Boeing 747-8 Intercontinental Jet
Jet Fuel Available (gallons)
70,000
60,000
50,000
40,000
30,000
20,000
10,000
63,500
2
55,562.5
3
4
47,625
39,687.5
31,750
23,812.5
9
7
8
10
Flight Time (hours)
11
12
15,875
13
14
7,937.5
15
17
The Boeing 747-8 Intercontinental Jet can carry approximately 63,500 gallons of jet fuel, making it possible for the Jet to
travel 14,430 kilometers before needing to refuel.
Create a linear model that represents the amount of fuel on the plane, In gallons, as a function of the flight time, In hours.
Show all of your work.
PLEASE HELP I NEED TO FINISH BY TONIGHT I WILL GIVE YOU 20 points
The required linear model is y = 3968.75x + 63,500 that represents the amount of fuel on the plane (as y), in gallons, as a function of the flight time(as x), in hours.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
The graph is given in the question, as shown
Let y be represents the amount of fuel on the plane, in gallons,
And x represents the function of the flight time, in hours.
As per the given graph, we take two points (0, 63,500) and (16, 0)
y - 63,500 = [(0-63,500)/(16-0)](x-0)
y - 63,500 = (63,500/16)x
y - 63,500 = 3968.75x
y = 3968.75x + 63,500
Thus, the required linear model is y = 3968.75x + 63,500.
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A sled dog racer completed a race in 6 hours. Because of changes in the terrain, his average speed for the last 48 miles was twice as fast as his average speed for the first 12 miles. Which equation can be used to find r, his average speed in miles per hour, during the first 12 miles?
A sled dog racer completed a race in 6 hours. Because of changes in the terrain, his average speed for the last 48 miles was twice as fast as his average speed for the first 12 miles. Which equation can be used to find r, his average speed in miles per hour, during the first 12 miles?
Tommy has $50 to spend at the local go kart track. Admission is $7 and each ride around the track costs $3. What is the most amount of rides Tommy can take around the track with his money
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
3 (-8 + 7x) = -171
Help plz..And No links!! I repeat No links!!
Answer:
The answer to your question will be
-7Step-by-step explanation:
If you would like the steps, I will provide them as requested.
Point (w, z) is transformed by the rule (w 5, z) . what type of transformation occurred?
Scaling transformation onto the x co ordinate by a factor of 5.
What is a co-ordinate system ?A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)
According the given question Point (w, z) is transformed by the rule (w5, z).
Here w represents x co-ordinate points and z represents y co-ordinate points.
We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.
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Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(−7, −18) and (−7, −4)
Answer:
Undifined
Step-by-step explanation:
let r=[0,1]×[0,1] . estimate ∬r4(x y)da by computing two different riemann sums, each with at least six rectangles.
The estimated value of the double integral using Riemann sum with partition P2 is 0.611.
To estimate the double integral of the function f(x,y) = 4xy over the region r = [0,1] x [0,1], we can use Riemann sums with different partitions of the region.
First, we can divide the region into 6 rectangular subregions of equal size, using the partition:
P1 = {[0,1/3] x [0,1/2], [0,1/3] x [1/2,1], [1/3,2/3] x [0,1/2], [1/3,2/3] x [1/2,1], [2/3,1] x [0,1/2], [2/3,1] x [1/2,1]}
The area of each subregion is (1/3) * (1/2) = 1/6, so the Riemann sum is:
R1 = (1/6) * [f(1/6,1/4) + f(1/6,3/4) + f(1/2,1/4) + f(1/2,3/4) + f(5/6,1/4) + f(5/6,3/4)]
Plugging in the function f(x,y) = 4xy and simplifying, we get:
R1 = (1/6) * [(1/6)*(1/4)4 + (1/6)(3/4)4 + (1/2)(1/4)8 + (1/2)(3/4)8 + (5/6)(1/4)4 + (5/6)(3/4)*4]
= 11/18
Therefore, the estimated value of the double integral using Riemann sum with partition P1 is approximately 0.611.
Alternatively, we can use another partition with 6 rectangular subregions, such as:
P2 = {[0,1/2] x [0,1/3], [1/2,1] x [0,1/3], [0,1/2] x [1/3,2/3], [1/2,1] x [1/3,2/3], [0,1/2] x [2/3,1], [1/2,1] x [2/3,1]}
The area of each subregion is again 1/6, so the Riemann sum is:
R2 = (1/6) * [f(1/4,1/6) + f(3/4,1/6) + f(1/4,1/2) + f(3/4,1/2) + f(1/4,5/6) + f(3/4,5/6)]
Plugging in the function f(x,y) = 4xy and simplifying, we get:
R2 = (1/6) * [(1/4)*(1/6)4 + (3/4)(1/6)4 + (1/4)(1/2)8 + (3/4)(1/2)8 + (1/4)(5/6)4 + (3/4)(5/6)*4]
= 11/18
Therefore, the estimated value of the double integral using Riemann sum with partition P2 is also approximately 0.611.
In both cases, the estimated value of the double integral is the same, which suggests that it is a reasonable estimate.
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Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt
5x4> 12
AND 12x +5 ≤-4
The solution for x is x ≤ -3/4.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve for x in the inequalities:
5x - 4 ≥ 12 and 12x + 5 ≤ -4
We'll solve each inequality separately:
5x - 4 ≥ 12
Adding 4 to both sides, we get:
5x ≥ 16
x ≥ 16/5
So the first inequality is solved for x as x ≥ 16/5.
Now, 12x + 5 ≤ -4
Subtracting 5 from both sides, we get:
12x ≤ -9
x≤ -9/12
x≤ -3/4
The only values of x that satisfy both inequalities are those that are less than or equal to -3/4.
Therefore, the solution for x is x ≤ -3/4.
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Find the Perimeter
8 cm
|-0-00
5 cm
4 cm-
Answer:
The perimeter of the triangle is 34 cm
Step-by-step explanation:
Here, we want to find the perimeter of the triangle
This is simply the sum of the side lengths
mathematically, the distance of two lines from a point touching the circle is the same
so, on the other sides, we have the missing sides as;
5cm, 4 cm and 8 cm
So the perimeter will be;
4cm + 5cm + 8 cm + 4 cm + 8 cm + 5 cm = 34 cm
Can someone help me please
Answer:
9) 392,400
10) 92,000,000,000,000,000
11) 0.004391
12) 0.0006825
Step-by-step explanation:
9) 3.92400 move the decimal point 5 times to the right
10) 9.2 add 15 zeros on the right
11) 4.391 add 3 zeros on the left side
12) 6.825 add 4 zeros to the left side
PLEASE FOR THE LOVE OF GOD HELP ME
Answer:
Step-by-step explanation:
Let number of games played = x
Cost = rent of shoes + x* cost per game
y = 5+ x*2
y = 5 + 2x
When x = 1
y = 5 + 2 = 7
A(1,7)
When x = 2 ; y = 5 +2*2 = 5+4 = 9
B(2,9)
When x =3 ; y = 5 +2*3 = 5 +6 = 11
C(3,11)
When x = 4; y = 5+2*4 = 5+8 = 13
D(4,13)
When x =5 ; y = 5+ 2*5 = 5 +10 = 15
E (5,15)
a. The Figure shows the coefficient matrix of a discretized reservoir by blockcentered grids where the non-zero elements are indicated by x position, while zero elements are left blank. Draw this discretized reservoir using the standard ordering.
Unfortunately, I am unable to directly interpret or visualize figures or images. However, I can provide you with a general explanation. In a discretized reservoir using block-centered grids, the standard ordering refers to the arrangement of grid cells or blocks in a particular pattern.
This pattern is often used to establish the connectivity and adjacency relationships between the cells in the reservoir model. Typically, the standard ordering arranges the grid cells in a sequential manner, starting from the top-left corner and moving row by row. Each grid cell represents a discrete volume or unit in the reservoir. The non-zero elements, indicated by the "x" positions in the coefficient matrix, would correspond to the active or connected cells within the reservoir model. These active cells are the ones that contribute to fluid flow and other reservoir properties. To visualize the discretized reservoir using the standard ordering, you would need to refer to the coefficient matrix and determine the dimensions of the reservoir model, such as the number of rows and columns. Then, starting from the top-left corner, you can represent each active cell or block using a graphical representation, such as a square or rectangle, in a sequential manner based on the standard ordering. This way, you can construct a visual representation of the discretized reservoir model.
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What is the distance between two points plotted at (3, 2) and (6, 4) on a coordinate plane? Round to the nearest tenth unit.
Answer: The distance between two points with coordinates
(3,2) and (6,4) is:
3.61 units
The distance between two points plotted at (3, 2) and (6, 4) on a coordinate plane is √13 unit.
What is Distance Formula?let there are two point in a cartesian plane named as P(a, b) and Q(c, d) then the distance between P and Q is
PQ= √(c-a)² + (d-b)²
Given:
we have the points (3, 2) and (6, 4) on a coordinate plane.
Using Distance Formula
= √(6-3)² + (4-2)²
= √3²+2²
= √9+4
= √13 unit
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please help meeeee what the answer
HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each.
Answer:
Answer is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.
on day 3 swimmer B has 17 (shown on chart)
on day 3 swimmer A has 23 (14, 17, 20, 23)
if you would want it to complicate it 14:3 and 11:2
14 ÷ 14 is 1
3 ÷ 14 is .214
11 ÷ 11 is 1
2 ÷ 11 is .181
HELP I'M FAILING .....
so if you have 300 coins and you take away half how much do you have left
Apply the distributive property to create an equivalent expression.
2(3-8y) =
It is from khanacademy *********not multiple choice
Answer:
6-16y
Step-by-step explanation:
Multiply 2 by the numbers inside the parentheses.