Answer:
B. Thermohaline circulation
Step-by-step explanation:
Thermohaline circulation is driven by global density gradients which are created by the surface heat and fluxes of fresh water, as a part of the large scale ocean circulation.
Answer:
B. Thermohaline circulation
Step-by-step explanation:
Mika records the number of miles she walks each day.
How many days did she walk? What was her total distance
Answer: Mika walks 16 days and 26.5 total miles.
Step-by-step explanation: You count each x to figure out the days and and them all together like so: 1 1/2 x 5 = 7 1/2. 7 1/2 + 1 5/8 = 12.1875, and so forth and so on.
Pls answer *cries hard*
2 units.
Since a triangle is basically a rectangle split in half, we just use the dimensions of the triangle without dividing by 2.
Answer:
its 12 units long and unit c is 5 units long good luck! :D
Step-by-step explanation:
Please help me, What is the 6th term of the geometric sequence 1024, 528, 256...?
A: 64
B: 32
C: 16
D: 8
The geometric sequence is B: 32
Final answer:
To find the 6th term in the given geometric sequence, the common ratio is calculated and the nth term formula is applied. However, the calculated value doesn't match any of the provided options, indicating a possible error in calculation or the sequence itself.
Explanation:
To find the 6th term of the geometric sequence 1024, 528, 256, we first need to determine the common ratio. We get this by dividing the second term by the first term:
Common ratio (r) = 528 / 1024 = 0.515625
Now, using the formula for the nth term of a geometric sequence, which is an = a1 × r(n-1), where a1 is the first term and n is the term number:
a6 = 1024 × 0.515625(6-1) = 1024 × (0.515625)5
Calculating this, we get:
a6 = 1024 × 0.1184844970703125 = 121.234375
This value does not match any of the options provided (64, 32, 16, or 8), suggesting that there may have been a miscalculation or misunderstanding of the sequence. Please double-check the sequence or provide additional information.
How can I send a pic of my work
You pess the thing that looks like a paperclip. Then you take a picture and crop it
School A has 480 students and 16 classrooms. School B has 192 students and 12 classrooms.
How many Students would have to transfer from school Eddie to school be for the ratio of students to classrooms at both schools to be the same explain your reasoning
Answer:96
Step-by-step explanation:
A; 480/16 = 30 students per classroom
B: 192/12 =16 students per classroom
we need x such that [tex]\frac{480-x}{16} = \frac{192+x}{12}[/tex]
which means
(480-x )* 12 should be equal to (192+x) * 16
5,760 - 12x = 3,072+16x
5,760 - 3,072 = 12x + 16x
2,688 = 28x
x = 96
Solve the solution of equations.
3x + 4y = -23
X = 3y + 1
X =
Y =
Answer:
x = -5y = -2Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}3x+4y=-23&(1)\\x=3y+1&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\3(3y+1)+4y=-23\qquad\text{use the distributive property}\\\\(3)(3y)+(3)(1)+4y=-23\\\\9y+3+4y=-23\qquad\text{subtract 3 from both sides}\\\\13y=-26\qquad\text{divide both sides by 13}\\\\\boxed{y=-2}\\\\\text{Put the value of }\ y\ \text{to (2)}:\\\\x=3(-2)+1\\\\x=-6+1\\\\\boxed{x=-5}[/tex]
Answer:
x = -5
y = -2
Step-by-step explanation:
A mechanic had a bolt with a diameter of 2/9 inch. Will the bolt fit into a hole with a diameter of 0.2 inch.
Answer:
No, the bolt won't fit into the hole
Step-by-step explanation:
We need to convert the diameter of the bolt into decimal by dividing:
2/9 = 0.222...
The hole has diameter of 0.2
Hence, 0.222 is larger than 0.2, so the bolt won't fit.
What is the interquartile range for the data set?
27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71
Enter your answer in the box.
P.S: Not actually asking just for anyone with this question.
51 is the interquartile range for the set of data hope this helps;)
Answer:
Thank youuu
Step-by-step explanation:
Amal drives her car for work.
She claim 40p per mile from her employer.
Amal’s car travels 52 miles for each gallon of petrol.
She pays £5,36 per gallon for petrol.
On one journey Amal drives 260 miles.
For this journey, how much more does she claim than she pays for petrol?
Answer:
£7,878
Step-by-step explanation:
she gets:
40p× 260 miles = 10,400p
she pays:
52 : 5.36= £9.70 per mile
260 x 9.70 = £2,522
to find out what she claimes more than she pays: 10,400 - 2,522 = 7,878
Amal claims £77.2 more than what she spends on petrol for a 260 miles journey for work.
Explanation:To solve this problem, we need to calculate how much Amal earns for the journey and how much she pays for petrol.
First, let's calculate how much she earns: she claims 40p per mile and she drives 260 miles. So, her earnings would be 40p/mile * 260 miles = £104.Next, we determine how much she spends on petrol. Her car travels 52 miles per gallon, and she pays £5,36 per gallon. As the total distance driven is 260 miles, she will need 260 miles / 52 miles/gallon = 5 gallons. Total cost for petrol then is 5 gallons * £5.36/gallon = £26.8.Finally, to determine how much more Amal claims than she spends on petrol we subtract the petrol costs from what she earns: £104 - £26.8 = £77.2.Learn more about Cost Analysis here:https://brainly.com/question/34407434
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A 9-cm chord is 11 cm from the center of a circle.
What is the radius of the circle?
C. 13.0 cm
B. 11.9 cm
A. 9.0 cm
D. 14.2 cm
Answer: b 11.9
Step-by-step explanation:
the chord and the line to the center can be used to create a triangle
the radius is the hypotenuse of this triangle
4.5squared + 11 squared= 11.9
Which is a factor of each term of the polynomial? (7f^2−12f)
A - f
B - 7f
C - 2f
D - 7
Answer:
A - f
Step-by-step explanation:
Break each term down into its prime factors
7f^2 = 7 *f*f
12f = 2*2*3*f
The common term is f
Factor out the f
f(7f-12)
Complete the statement to describe the expression (a+b)(d+e)
Ad+ae+bd+be so that is your solution
Answer:2, 2
2 factors
2 terms
This expression consist of 2 factors, each factor contains 2 terms
Step-by-step explanation:
Terms are single numbers, variables, or the product of a number and variable.
A factor is one part of a product.
The expression (a+b) (d+e) consists of two parts of a product, and each part is a factor. The first factor is (a+b) and the second is (d+e).
Each of the factors contains the sum of two variables. Variables connected by addition are separate terms. The expression (a + b) contains two terms: a and b. The expression (d + e) also contains tow terms.
The expressions (a+b) (d+e) consists of 2 factors, and each of there factors has 2 terms.
Polygon DEFG is shown on the coordinate grid. Polygon DEFG is dilated with the origin as the center of dilation using the rule (x, y) → (2x, 2y) to create polygon D'E'F'G'.
Which statement is true?
A) Polygon D'E'F'G' is larger than polygon DEFG, because the scale factor is greater than 1.
B) Polygon D'E'F'G' is smaller than polygon DEFG, because the scale factor is less than 1.
C) Polygon D'E'F'G' is smaller than polygon DEFG, because the scale factor is greater than 1.
D) Polygon D'E'F'G' is larger than polygon DEFG, because the scale factor is less than 1.
Polygon D'E'F'G' is larger than polygon DEFG, because the scale factor is greater than 1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Polygon DEFG is dilated with the origin as the center of dilation using the rule (x, y) → (2x, 2y) to create polygon D'E'F'G'. Therefore:
Polygon D'E'F'G' is larger than polygon DEFG, because the scale factor is greater than 1.
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The dilation doubles the distances between corresponding vertices, indicating an enlargement.
Therefore, choice A is correct: Polygon D'E'F'G' is larger due to the scale factor exceeding 1.
To determine whether polygon D'E'F'G' is larger or smaller than polygon DEFG after dilation with the origin as the center and using the rule (x, y) → (2x, 2y), we need to understand the effect of the dilation on the coordinates of the vertices.
Let's assume the coordinates of the vertices of polygon DEFG are as follows:
D(x₁, y₁)
E(x₂, y₂)
F(x₃, y₃)
G(x₄, y₄)
Now, applying the dilation rule (x, y) → (2x, 2y) to each vertex, we get the coordinates of the corresponding vertices of polygon D'E'F'G':
D'(2x₁, 2y₁)
E'(2x₂, 2y₂)
F'(2x₃, 2y₃)
G'(2x₄, 2y₄)
Now, let's compare the distances between the vertices of the original and dilated polygons to determine if the dilation resulted in enlargement or reduction.
1. Distance between D and E:
Original: √((x₂ - x₁)² + (y₂ - y₁)²)
Dilated: √((2x₂ - 2x₁)² + (2y₂ - 2y₁)²) = √(4(x₂ - x₁)² + 4(y₂ - y₁)²)
The distance between D' and E' is twice the distance between D and E. So, the scale factor is indeed 2, indicating an enlargement.
2. Similarly, for the other sides (DE, EF, FG), we'll find the same result.
Since the scale factor is greater than 1, we can conclude that polygon D'E'F'G' is larger than polygon DEFG.
So, the correct answer is:
A) Polygon D'E'F'G' is larger than polygon DEFG, because the scale factor is greater than 1.
!!!!!!PLEASE HELP!!!!!
Five people arrange themselves to form a right triangle. If their total vertical height is 12 feet and their total horizontal length is 10 feet, what is the distance along the hypotenuse of their human triangle?
Answer:
Step-by-step explanation:
a=12, b=10, c=?
a²+b²=c²
Using pythagorean theorem you can find that c= 2√61
Final answer:
The distance along the hypotenuse of the right triangle with 12 feet vertical height and 10 feet horizontal length is found using the Pythagorean Theorem. The calculated distance is approximately 15.62 feet.
Explanation:
To find the distance along the hypotenuse of a right triangle formed by five people with a total vertical height of 12 feet and a total horizontal length of 10 feet, we use the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Thus, the formula is a² + b² = c².
In this case, we have:
a (the vertical height) = 12 feetb (the horizontal length) = 10 feetPlugging these values into the Pythagorean Theorem gives:
12² + 10² = c²
144 + 100 = c²
244 = c²
Now, find the square root of 244 to get the length of the hypotenuse:
c = √244
c ≈ 15.62 feet (using three significant figures)
Therefore, the distance along the hypotenuse of the human triangle is approximately 15.62 feet.
Square KITE has vertices (-4, 0), (0, 4), (4, 0), and (0, -4), respectively. Name the square's diagonals and find their point of intersection.
Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
hence the answer is 16units
hope helps you!!!!!!
The equation of diagonals of kite are x = 0 and y = 0 and their point of intersection is (0,0)
What is a straight line?A straight line is a one-dimensional figure that never ends and has no breadth.
Equation of line : y = mx + c
m - slope of the line
c - y intercept
Let the vertices of the Kite ABCD be A(-4 , 0), B(0 , 4), C(4 , 0), D(0 , -4)
The equation of Diagonal AC is y = 0
The equation of Diagonal BD is x = 0
The point of intersection of diagonals will be ( 0 , 0)
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which equation represents the graph?
A) y=[x] + 2.5
B) y=[x] -2.5
C) y=[x -2.5]
D) y=[x + 2.5]
Answer:
y= |x|-2.5
Step-by-step explanation:
The attached picture is the graph for the function y=|x|
The picture you asked differs in the origin of the graph, which resides in the point (0, -2.5).
So our equation should look like the following
y=a|x|+b
From the first point you have (0, -2.5), This means 0=a*|0|+b, we have obtained that b=-2.5
Now 'a' is the slope, we need to find another point in the graph. that would be (2.5, 0) (obtained from the given graph)
the slope is obtained using the equation
[tex]a=\frac{x_{2}-x_{1} }{y_{2}-y_{1} }[/tex]
Where (x1, y1)= (0, -2.5), (x2,y2)=(2.5,0)
thus we have that a=1
So our equation is y=|x|-2.5
What is the length of arc S?
(The angle in the figure is a central angle in radians)
Answer:
π/90 or 0.0035 units
Step-by-step explanation:
equation: length of the arc = ∠of the angle/360 * circumference
Substitute: S = 0.4/360 * 10π --> C = 2πr
Simplify: S = 1/900 * 10π
Simplify: S = π/90 ≈ 0.003489 units
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.
Answer:
Required inequality is [tex]4800+183x>8000[/tex].
Step-by-step explanation:
Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.
Calculation is given by:
Salary per year = $4,800
Average price of a policy = $6,100.
commission on her sales = 3%
Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183
Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x
then total commission on x policies = 183x
Total income using x policies = 4800+183x
Since she wants to make an annual income of at least $8,000. so we can write inequality as:
[tex]4800+183x>8000[/tex]
Hence required inequality is [tex]4800+183x>8000[/tex].
Use the drawing tool(s) to form the correct answers on the provided graph.
Graph the system of equations given below on the provided graph.
2x– 3y = –18
3x + y = -5
Answer:
2x– 3y = –18
3x + y = -5
Converting the equation in slope-intercept form
2x-3y= -18
-3y= -2x-18
-3y= -(2x+18)
3y=2x+18
y=(2x+18)/3
And for equation 2
y= -5-3x
For plotting the graph, the online graphing calculator desmos.com can be used.
The points can be calculated by putting negative and positive values of x in both equations.
The graph is attached as a picture.
As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.
Answer:
[tex](-3,4)[/tex],
Step-by-step explanation:
The given system of equations is
[tex]\left \{ {{2x-3y=-18} \atop {3x+y=-5}} \right.[/tex]
To solve this system, we could multiply the second equation by 3, and solve for x:
[tex]\left \{ {{2x-3y=-18} \atop {9x+3y=-15}} \right.\\11x=-33\\x=\frac{-33}{11}=-3[/tex]
Now, we replace this value in a equation to find y-value:
[tex]3x + y = -5\\3(-3)+y=-5\\-9+y=-5\\y=-5+9\\y=4[/tex]
Therefore, the solution for the system is [tex](-3,4)[/tex], you can observe this in the graph attached.
Mark Brainliest
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
it has infinitely many solutions
Answer:it has many solutions
What’s the volume of the cylinder with a radius of 10 and a height of 30?
The answer is 9424.78
Reason:
For every 2 pins that are sold the spirit club will make $4 how much money would the spirit club make if the club sold 12 and 14 pins
Answer:
52$
Step-by-step explanation:
ok so 2 pins cost 4$ so if you buy one pin its 2$ correct? take 12 and multiply it by 2 and take 14 and multiply by 2,
12×2=24$
14×2=28$
add those two together and you get 52$
Is 1/2 a solution to the equation 8-2x=10x+3 ?
8-2x = 10x+3 Subtract 3 from both sides
5-2x = 10x Add 2x to both sides
5 = 12x Divide 12 to both sides
Final answer X=5/12
The solution to the algebraic expression 8-2x=10x+3 is: x = 12/5
How to solve Algebra Expressions?An algebraic expression in mathematics is defined as an expression which is made up of variables and constants, along with algebraic operations
We are given the algebraic expression as:
8 - 2x = 10x + 3
Using addition property of equality, add 2x - 3 to both sides to get:
8 - 2x + 2x - 3 = 10x + 3 + 2x - 3
5 = 12x
x = 12/5
x = 2.4
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ANSWER NEEDED ASAP!!!
Answer:
D) 28Step-by-step explanation:
We know: the sum of the measures of triangle angles is 180°.
Therefore we have the equation:
[tex]2x+(3x-10)+50=180\\\\(2x+3x)+(-10+50)=180\\\\5x+40=180\qquad\text{subtract 40 from both sides}\\\\5x+40-40=180-40\\\\5x=140\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\x=28[/tex]
The sum of all the angles of a triangle is 180°
This means you have to add all the angles together and set it equal to 180. Here is the formula:
50 + 2x + 3x - 10 = 180
Now you solve for x
Step 1: Combine like terms
(50 + (-10) ) + (2x + 3x) = 180
40 + 5x = 180
Step 2: Subtract 40 to both sides
(40-40) + 5x = 180 - 40
5x = 140
Step 3: Isolate x by dividing 5 to both sides
[tex]\frac{5x}{5} = \frac{140}{5}[/tex]
x = 28
Check: 50 + 2(28) + 3(28) - 10 = 180
50 + 56 + 84 - 10 = 180
180 = 180
Therefore your value of x is 28!
Hope this helped!
write the augmented matrix for each system of equations. 10x=10 -5x-8y=9
ANSWER
[tex]\left[ { \begin {array} {cc} 10&0& | 10\\-5&-8& | 9\\ \end {array}} \right] [/tex]
EXPLANATION
The given system of equations is
10x=10
-5x-8y=9
We can rewrite this as:
10x+0y=10
-5x-8y=9
The augmented matrix is the combination of the coefficient matrix and the constant matrix.
The coefficient matrix is
[tex] \left[ { \begin {array} {cc} 10&0\\ - 5& - 8\\ \end {array}} \right] [/tex]
The constant matrix is
[tex] \binom{10}{9} [/tex]
The augmented matrix is
[tex]\left[ { \begin {array} {cc} 10&0& | 10\\-5&-8& | 9\\ \end {array}} \right] [/tex]
The augmented matrix is:
[tex]\begin{bmatrix}10 & 0| & 10\\ -5 &-8| & 9\end{bmatrix}[/tex]
Step-by-step explanation:The steps of an augmented matrix are as follows:
We write a matrix such that the first column of the matrix is coefficient of x in the matrix.The second column of the matrix is the coefficient of y in each equations.and then it is separated by a line and then the third column written with the help of a constant term on the right side of the equation when it is written down.The system of equation is:
[tex]10x=10\\and\\-5x-8y=9[/tex]
Hence, the system could be written in the form:
[tex]AX=b[/tex]
where:
[tex]A=\left[\begin{array}{ccc}10&0\\-5&-8\end{array}\right][/tex]
[tex]X=\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
and
[tex]b=\left[\begin{array}{ccc}10\\9\end{array}\right][/tex]
Hence, the augmented matrix is:
[tex]\begin{bmatrix}10 & 0| & 10\\ -5 &-8| & 9\end{bmatrix}[/tex]
The figure below (above) shows a triangular prism that Tasha is using for a science experiment
What is the volume of Tasha’s prism?
A. 180cm3
B. 242cm3
C. 324cm3
D.360cm3
PLEASE HELP!!
Answer:
360 or D.
Step-by-step explanation:
Adding -34 is the same as subtracting what number?
it is the same as subtraction 34
50+(-34)=50-34
The 2006 value of a car was $18,000. In 2016, it was worth $4000. If the annual percent of decay has been constant, what is the annual percent of decay?
Answer:
[tex]13.96\%[/tex]
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]V=P(1-r)^{x}[/tex]
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
[tex]P=\$18,000\\r=?\\x=10\ years\\V=\$4,000[/tex]
substitute in the formula
[tex]\$4,000=\$18,000(1-r)^{10}[/tex]
Simplify
[tex](2/9)=(1-r)^{10}[/tex]
[tex](2/9)^{1/10}=(1-r)[/tex]
[tex]r=1-(2/9)^{1/10}[/tex]
[tex]r=0.1396[/tex]
convert to percent
[tex]r=0.1396*100=13.96\%[/tex]
A $160 item is marked down 25%.what is the new cost of the item?
$160 marked down 25% would be 40
The population of the United States is 3 × 10^8 people, and the population of the world is 6.9 × 10^9 people. How many times larger is the world population? Write your answer in standard notation.
Answer:
put the united states population over the world population you will get a simplified fraction to the ratio between them which is 1/23 easily you can multiply 23 by the USA population to get the world population so it is more than USA population 23 times
3*10^8 / 6.9*10^9 = 1/23
then 23 * 3*10^8 = 6.9*10^9
The world population is approximately 23 times larger than the population of the United States.
Explanation:The question is asking us to determine how many times larger the world's population is compared to the population of the United States. It gives us the population of the United States as 3 x 108 and the world's population as 6.9 x 109. To solve this, we'll divide the world population by the US population.
The calculation is as follows: (6.9 x 109) / (3 x 108) which equals to 23
This means that the world population is approximately 23 times larger than the United States population.
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