Given,
The line graph is passing through the points (3,835) and (8,560).
The slope of the line is calculated as:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Substituting the values of points then,
\(\begin{gathered} m=\frac{560-835}{8-3} \\ m=\frac{-275}{5} \\ m=-55 \end{gathered}\)Hence, the slope of line is -55 and the balance decreased by $55 per month.
An investor decides to invest some cash in an account paying 14 % annual interest, and to put the rest in a stock fund that ends up earning 11 % over the course of a
year. The investor puts $700 more in the first account than in the stock fund, and at the end of the year finds the total interest from the two investments was $1490.
How much money was invested at each of the two rates?
Answer:
WILL GIVE BRAINLIEST 60 POINTS Given that figure ABCD is a dilation of figure KLMN, find the missing values:
(Note that values are slightly different
Answer: The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.
Step-by-step explanation:
Let the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $700 more in the first account than in the stock fund, therefore, the equation can be written as,
x-y=700
x=700+y
Also, at the end of the year the total interest from the two investments was $1490. Therefore, we can write,
.14x+.11y=1490
Substitute the value of x from the above,
.14(700+y)+.11y=1490
y=5568
substitute the value of y in the first equation,
x-5568=700
x=6268
The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.
The midpoint of AB is M. If the coordinates of M are
(1/2, -2) and the coordinates of B are (6, 1), what are the coordinates of A?
9514 1404 393
Answer:
A = (-5, -5)
Step-by-step explanation:
Solving ...
M = (A +B)/2
for A, you find ...
A = 2M -B
A = 2(1/2, -2) -(6, 1) = (1-6, -4-1)
A = (-5, -5)
Two pedestrians simultaneously left two villages 27 km apart and walked toward each other, meeting after 3 hours. The first pedestrian walked at a speed of 4 km per hour. At what speed (in km per h) did the second pedestrian walk?
The speed of the second pedestrian is 5 kilometers per hour.
At what speed did the second pedestrian walk?Let's say that the speed of the second pedestrian is S.
We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:
(4km/h + S)*3h = 27km
It says that both pedestrians work, together, a total of 27km in 3 hours.
Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.
4km/h + S = 27km/3h = 9 km/h
S = 9km/h - 4km/h = 5km/h
The speed of the second pedestrian is 5 kilometers per hour.
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Identify an equation in standard form for a hyperbola with center (0, 0), vertex (6, 0), and focus (10, 0).
Answer:
Step-by-step explanation:
I don't need help but I am giving the answer to everyone :) hope it helps
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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Find the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
50 POINTS + BRAINLIEST
PLEASE DONT STEAL POINTS
Answer:
80-89
Step-by-step explanation:
When you put it in a stem- and - leaf plot, you'll see that 80-89 is the mode interval.
Answer:
80-89
Step-by-step explanation:
That is the range that most students got.
The lengths of two similar figures are 35 ft and 10 ft. What is the scale factor, perimeter ratio and area ratio in simplest form of the first to the second.
The scale factor is 7:2, the perimeter ratio is 7:2, and the area ratio is 49:4.
Scale Factor:
The scale factor represents the ratio of corresponding lengths in similar figures.
In this case, the scale factor is given as 7:2.
Perimeter Ratio:
The perimeter ratio of two similar figures is equal to the ratio of their corresponding perimeters.
Since the scale factor is 7:2, the perimeter ratio will also be 7:2.
This means that the ratio of the perimeters of the first figure to the second figure is 7:2.
Area Ratio:
The area ratio of two similar figures is equal to the square of the scale factor. In this case, the scale factor is 7:2.
Thus, the area ratio will be (7/2)² = 49/4.
This indicates that the ratio of the areas of the first figure to the second figure is 49:4.
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which equation has a constant of proportionality equal to three
Answer in Picture :)
Choose the true statement.
0-2<-3
O-2» -3
O -2 = -3
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Write an equation of the line below
Answer:
y = -2/3x - 2
Step-by-step explanation:
lmk if you want an explanation
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
HELP THIS IS DUE IN 20 MINUTESSS
Answer:
The first quartile is: 0-25
second quartile is 26-50 (median is 50)
third quartile is: 51-75
Range: 100
Hope this helps!
Step-by-step explanation:
i got it nevermind!!!! dont need help
The Vales of x in the equations are : 1) 3 (2) 1 (3) 5 (4) 14 (5) 10 respectively
How to solve an equation?A linear equation in one variable is that in which the highest power of its variable is 1
The given equations and their solutions are
2x +1 = 7
By collecting like terms we have
2x = 3
x = 3
2) The given equation is 4x +7 = 11
By collecting like terms we have
4x = 4
Making x the subject we have
x = 1
3) 2x -3 = 7
By collecting like terms we have
2x = 10
Making x the subject we have
x = 5
4) 1/2 x - 3 = 7
By collecting like terms we have
1/2x = 7
x= 14
5) The given equation is 3x - 11 = 19
By collecting like terms we have
3x= 30
Therefore x= 10
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Can someone please help me with this area math problem please
Answer:
52
Step-by-step explanation:
Area is length x height
2x times x + 9
Multiply 2x by each term in the height:
2x times x = 2x^2, 2x times 9 = 18x
The area would be 2x^2+ 18x square units
Help me please asap on a time limt
Answer: 51 grams
Step-by-step explanation:
Plug in 60 for t and calculate
Divide. Write the answer as a decimal.
53 ÷ 1.25 =
Answer:
=42.4
Step-by-step explanation:
Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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2) Solve for m: 2.6m = 8.06
Answer: m = 3.1
Step-by-step explanation:
To solve for m you must divide 2.6m by 2.6m. Therefore, you must do the same on the other side of the equation.
2.6m/2.6m = 8.06/2.6m
m= 3.1
\(m=3.1.\)
Step-by-step explanation:1. Write the equation.\(2.6m = 8.06\)
2. Divide by 2.6 in both sides of the equation.\(\frac{2.6}{2.6} m=\frac{8.06}{2.6}\\ \\(1)m=\frac{8.06}{2.6}\\ \\m=\frac{8.06}{2.6}\)
3. Simplify the fraction.\(m=\frac{8.06}{2.6}\\ \\m=3.1\)
4 Verify the answer by substituting the calculated value by x in the original equation.\(2.6(3.1) = 8.06\\8.06=8.06\)
That's correct!
5. Express the final result.\(m=3.1.\)
2 + 2 = whattttt ukmkkni
Answer:2+2=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
think of it like this
1+1=2+1=3+1=4
glad i could help
Hehehe
Which property is shown?
5 plus open square brackets open parentheses negative 3 x close parentheses plus
4 close square brackets equals open square brackets 5 plus open parentheses
negative 3 x close parentheses close square brackets plus 4
Commutative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
Commutative Property of Addition
The correct option is; Associative Property of Addition.
What is referred as the Associative Property of Addition?The associative property of addition is a principle that states that when adding three or more numbers, we could really group them in any combination and the sum remains the very same irrespective of how they are grouped.The associative property of addition equation exemplifies that grouping numbers in different ways has no effect on the sum. The brackets which it group the numbers facilitate the process of addition: (a+ b) + c = a + (b + c)For the given question;
The equation formed by the given statement is -
5 + [(-3x) + 4] = [5 + (-3x)] + 4
Observe the stated equation and comparing with the general equation;
The values are arranged in the form of associative addition.
Check the values;
LHS = 5 + [(-3x) + 4] ; simplifying,
5 -3x + 4 = 9 - 3x
RHS = [5 + (-3x)] + 4 ; simplifying,
5 - 3x + 4 = 9 -3x
As, LHS = RHS and addition is being done.
Thus, the given equation shows the associative property of addition.
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State the solutions for the quadratic equation graphed below.
The mean of the data set is 4. Find the absolute deviation of each of the red data values
The absolute deviation of 0 is
The absolute deviation of 3 is
The absolute deviation of 7 is
The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Absolute deviationThe absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.
Absolute deviation = |value - mean|
Mean = 4
Absolute deviation of 0 = |0 - 4| = 4
Absolute deviation of 3 = |3 - 4| = 1
Absolute deviation of 7 = |7 - 4| = 3
Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.
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Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.I need help please. Thank you in advance.
Answer:
(-5,2); opens up
Step-by-step explanation:
In the equation y = a(x − h)² + k, if a is positive it opens up
The vertex is: (h, k)
Since in the equation h is multiplied by a negative one, you have to flip the sign of h in the equation.
(x-(-5)) = (x+5)
What’s 36.3 square root than nearest tenth !
Choose 1 answer:
A
B
C
D
-7≤ x ≤7
The x-values -7, -2, 5, and 7
0≤x≤7
The x-values 0, 2, 4, 5, and 7
the domain of the function 0≤x≤7.
What is the domain and range of function?
A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.
From the graph, the value of x varies from The x-values -7, -2, 5, and 7
So the domain of the function will be
0≤x≤7
Hence, the domain of the function 0≤x≤7.
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3x = 18
Whats the value of X
Answer:
X=6
Step-by-step explanation:
3 times 6 is 18 so x is 18
Answer:
\( \huge{ \fbox{ \sf{x = 6}}}\)
Step-by-step explanation:
\( \star{ \sf \: \: 3x = 18}\)
\( \text{ Step \: 1 \: : divide \: both \: sides \: by \: 3}\)
\( \mapsto{ \sf{ \frac{3x}{3} = \frac{18}{3} }}\)
\( \text{Step \: 2 : calculate}\)
\( \mapsto{ \sf{ x = 6}}\)
Hope I helped!
Best regards! :D
~\( \text{theanimegirl}\)
Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?
Answer:
$84.12
Step-by-step explanation:
78.99 x 0.065 = 5.13
78.99 + 5.13 = 84.12