Answer:
2k
k+k=2k
Step-by-step explanation:
Find the equation of the line. Use exact numbers y=, x,+5
I can't see pictures, so I'll do my best.
y= always stays the same.
To find the slope, or x, you have to start at the y-intercept, and find the number of units up, then right.
For example, y=4/3+6
4/3 is the slope because it goes up 4 units and right 3 units from the y-intercept.
6 is the y-intercept, which is the y-coordinate. It can also be graphed as (0,6).
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hope it helps
the length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 5 cm/s. when the length is 15 cm and the width is 13 cm, how fast is the area of the rectangle increasing (in cm2/s)?
The area of the rectangle is increasing at a rate of 166 cm^2/s when the length is 15 cm and the width is 13 cm.
To find the rate at which the area of the rectangle is increasing, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).
We can differentiate both sides of the equation with respect to time (t) to obtain:
dA/dt = (dl/dt)w + l(dw/dt)
Here, dl/dt is the rate of change of the length, which is given as 7 cm/s, and dw/dt is the rate of change of the width, which is given as 5 cm/s.
We can substitute these values along with the given values of length and width (l = 15 cm and w = 13 cm) to obtain:
dA/dt = (7 cm/s)(13 cm) + (15 cm)(5 cm/s)
dA/dt = 91 cm^2/s + 75 cm^2/s
dA/dt = 166 cm^2/s
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Zahra is anxious to save money on her utility bills and knows that changing the temperature of the water when she does laundry can help save money. Right now three-fourths of all her laundry is done with the hotter water. Use the table below to determine how much she currently pays in utility costs for laundry. Assume 1 load of wash per day. Clothes washer w/electric water heater Cost per load Hot wash & warm rinse 71 cents per load Warm wash & cold rinse 25 cents per load If she cuts down the amount of laundry that she does in hot water to one-half, about how much will she save every year? a. $65 each year b. $42 each year c. $23 each year d. $392 each year
The amount that will be saved yearly oh the utility bills will be $65 each year.
How to calculate the amount of utility savedFrom the information given, the cost per load on hot wash is given as 71 cents per load and the cost of warm wash is given as 25 cents per load.
Therefore, the yearly cost for hot wash will be:
= 71 cents × 365
= 25915 cents
In this case, she cuts down the amount of laundry that she does in hot water to one-half will be:
= 25915 cents × (3/4 - 1/2)
= $259.15 × 0.25
= $65
In conclusion, the correct option is $65.
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Answer:
B. $42 each year
Step-by-step explanation:
y - 3 = 2 (x + 4).
Answer:
Step-by-step explanation:
Answer:
y = 2x+7
Step-by-step explanation:
y - 3 = 2x+4
y = 2x+4+3
y = 2x+7
FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7
The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.
It is given that:
A right triangular prism with dimensions
As we know, the volume of the right triangular prism is given by:
Volume = (1/2)bhl
Here b and l are the base dimensions h is the height of the prism
From the trigonometric ratios:
h = 10sin(25) = 4.23 units
b = 10cos(25) = 9.06 units
l = 8 units
Volume = (1/2)(9.06)(4.23)(8)
Volume = 153.30 cubic units
Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.
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Bisectors of triangles
Find RT
The length of RT is 13 units
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
As T is the centroid of the given triangle.
TN=TP
x+10=4x-17
Now solve for x
27=3x
x=9
Now TP=4(9)-17
TP=36-17
TP=19
Now from pythagoras theorem we find the length of RT
19²=14²+RT²
361-196=RT²
165=RT²
Take square root on both sides
RT=13
Hence, the length of RT is 13 units
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the graph shown here is the graph of which of the following rational functions?
Answer:
B.
Step-by-step explanation:
The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.
Maximum Marks: 5 Given the total cost function TC=100Q−Q 2
+0.3Q 3
Where Q= rate of output and TC= total cost, determine a) The marginal and average cost functions. (2 Marks) b) The rate of output that results in minimum average cost. ( 3 Marks)
a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).
TC = 100Q - Q² + 0.3Q³
Marginal cost (MC) = dTC/dQ
= d/dQ(100Q - Q² + 0.3Q³)
= 100 - 2Q + 0.9Q²
To find the average cost, we need to divide the total cost by the rate of output (Q).
Average cost (AC) = TC/Q
= (100Q - Q² + 0.3Q³)/Q
= 100 - Q + 0.3Q²
b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.
AC = 100 - Q + 0.3Q²
dAC/dQ = -1 + 0.6Q
= 0-1 + 0.6Q
= 00.6Q
= 1Q
= 1/0.6Q
≈ 1.67
Therefore, the rate of output that results in minimum average cost is approximately 1.67.
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Large values of r2 imply that the observations are more closely grouped about the _____.a. average value of the independent variablesb. average value of the dependent variablesc. least squares lined. origine. None of the above
If a1 is 35, d is 11, what is a19?
Answer:
The answer is 359
Explanation:
a1= 35
d= 11
=a19
=359
The 19th term of the series is 233.
The 19th term can be expressed as :
A(n) = a1 + d(n - 1)
Common difference, d = 11
n = nth term
a1 = First term = 35
Substituting the values into the equation :
A(19) = 35 + (19 - 1) × 11
A(19) = 35 + (18 × 11)
A(19) = 35 + 198
A(19) = 233
The 19th term represented as a19 with a first term of 35 and common difference of 11 is 233
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What is the value of the expression 3q - 6 when q = -2?
Answer:
-12
Step-by-step explanation:
3q-6=x q=-2
(3(-2))-6
-6-6=x
-12=x
What is the mean of this set 0,3,6,9,11,13,14
Answer:
8
Step-by-step explanation:
0+3+6+9+11+13+14 = 56
56/7 = 8
a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal. units
Answer:
98 units.
Step-by-step explanation:
Circumference = 2 * pi * radius
615.44 = 2 * 3.14 * r
r = 615.44 / (2 * 3.14)
=2 * 3.14
= 98 units.
What is 6 divided by (-3)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
*can i be the brainliest*
What does line segment AB represent?
Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.
Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.
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solve for w.5w+3-3(-3w-3)=2(w-2)
Solution
For this case we can do the following:
5w +3 -9w -9 = 2w -4
And then we can do this:
3-9+4 = 2w -5w +9w
-6+4 = -3w +9 w
-2 = 6w
And then:
w = -2/6
w= -1/3
HELP ASAP PLEASE THANK YOU
Answer:
I believe X= 15
Step-by-step explanation:
Adult humans have approximately 2.6 x 10^13 red blood cells and 3.92 x 10^10 white blood cell
About how many times greater is the number of red blood cells than white blood cells
Answer:
1.32
Step-by-step explanation:
The circumference of a circle is 91.688 millimeters. What is the radius of the circle? Use 3.14 for л. 0 29.2 mm 0183.4 mm 0146 mm 0 45.8 mm I need help asap
The radius of the circle is 14.6 millimeters.
What is the radius of the circle?From the question, we have the following parameters that can be used in our computation:
The circumference of a circle is 91.688 millimeters.
The circumference is calculated as
C = 2πr
Using the above as a guide, we have the following:
2πr = 91.688 millimeters.
So, we have:
r = 14.6 millimeters.
Hence, the radius is 14.6 millimeters.
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Answer:
14.6 mm is the answer to this question.
Step-by-step explanation:
I took the test and got it right.
Find f(g(x))f(x) = 3x^2 + 2g(x) = sqrt7x^3
f(x) = 3x² + 2
g(x) = √(7x³)
Basically you need to evaluate f(x) for x = g(x), in another words, replace every x in f(x) for g(x):
f(g(x)) = 3 (√(7x³) )² + 2 = 3(7x³) + 2 = 21x³ + 2
547 and 14 and 7658 - 7000 = 658 - blank = 98 -98 = 0 what is the answer
Solution :
7658 - 7000 = 658 - blank
658 = 658
So here, blank is 0.
547 - 7000 = 658 - blank
-7111 = 658 - blank
Blank = 7769
14 - 7000 = 658 - blank
- 6986 = 658 - blank
Blank = 7644
bayesian regression with undirected network predictors with an application to brain connectome data.
Bayesian regression with undirected network predictors offers a powerful framework for analyzing brain connectome data and gaining a deeper understanding of the relationships between brain connectivity and various outcomes of interest.
Bayesian regression with undirected network predictors refers to a statistical modeling approach that combines Bayesian inference principles with regression analysis when the predictors are represented as an undirected network. This approach is particularly useful when dealing with data that has a network structure, such as brain connectome data.
In the context of brain connectome data, a connectome represents the structural or functional connectivity between different regions or nodes of the brain. Each node can be seen as a predictor variable, and the relationships between nodes are represented by edges in the network.
Bayesian regression allows for flexible modeling of the relationships between predictors and the response variable, taking into account uncertainty in the parameter estimates. By incorporating the network structure of the predictors, Bayesian regression with undirected network predictors can capture complex dependencies and interactions among brain regions, providing insights into the relationships between brain connectivity and the outcome of interest.
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A tumor is injected with 0.92 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%. Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms.
The exponential decay model for the amount of Iodine-125 remaining in the tumor after t days can be represented as: A(t) = (0.99)^t * 0.92
In this model, (0.99)^t represents the decay factor, as the amount of Iodine-125 decreases by 1.15% (or 0.99) each day, and 0.92 is the initial amount injected into the tumor. Multiplying the decay factor by the initial amount gives the amount remaining after t days.
To model this decay process mathematically, we use an exponential decay function. The general form of an exponential decay model is A(t) = A₀ * e^(-kt), where A(t) represents the amount remaining after t units of time, A₀ is the initial amount, k is the decay constant, and e is the base of the natural logarithm.
In this case, the decay constant can be calculated as the natural logarithm of the decay factor (0.99) divided by the time interval of 1 day. The decay factor (0.99) represents the percentage of the original amount that remains after each day.
Therefore, the exponential decay model for the amount of Iodine-125 remaining in the tumor after t days is given by:
A(t) = (0.99)^t * 0.92
This equation takes into account the decay factor (0.99) raised to the power of the number of days (t) to represent the cumulative effect of decay over time. Multiplying this by the initial amount (0.92 grams) gives the amount remaining in the tumor after t days.
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PLEAS HELP WILL GIVE BRAINLIESTT
Answer: An equation could be x = 3y.
Step-by-step explanation:
Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft 80 ft 125 ft 250 ft
Answer:
250 ft
Step-by-step explanation:
circumference of circle 'C' is defined as
C = 2πr
250π = 2πr
r = 250π/2π
r= 125
d = 2r = 2×125 = 250 .
diameter of the given circle is 250 ft
The diameter of the circle is 250ft
Data;
Circumference = 250πdiameter = dCircumference of a CircleThe formula of circumference of a circle is given as
\(c = 2\pi r\)
Let's substitute the values in here and solve
\(c = 2 \pi r\\250\pi = 2 \pi r\\r = 125ft\)
The length of the radius is 125ft
But the length of diameter of a circle is twice the length of the radius
\(d = 2r\\d = 2 * 125\\d = 250ft\)
The diameter of the circle is 250ft
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Explain how you can check whether a number is written correctly in scientific notation.
match the correct base shape to each prism. some cards may be used more than once.
Looking at figure A, we have a prism with a triangular base that looks like a right triangle.
Since the prism has a right triangular base, the base shape is a right triangle (shape 5).
Looking at figure B, we have a prism with a pentagonal base.
Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).
Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Q: S and T are relations on the real numbers
and are defined as follows:
S = {(x, y) ∣ x < y}
T = {(x, y) ∣ x > y}
What is T ∘ S?
A) R x R (all pairs of real numbers)
B)
C) S
D) T
B) ∅ (empty set); The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.
To find the composition T ∘ S, we need to determine the set of ordered pairs that satisfy both relations S and T. Let's analyze the definitions of S and T:
S = {(x, y) ∣ x < y}
T = {(x, y) ∣ x > y}
To find T ∘ S, we need to check if there exists an element z such that (x, z) is in T and (z, y) is in S for any (x, y) in the given relations. However, if we observe the definitions of S and T, we can see that there is no common element that satisfies both relations.
For any (x, y) in S, we have x < y, but in T, the relation is defined as x > y. Therefore, there are no elements that satisfy both conditions simultaneously.
As a result, T ∘ S will be an empty set (∅) because there are no ordered pairs that satisfy the composition of the two relations.
The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.
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Can someone help me pls!!!!
Answer:
2) -5 ^25
4) 3^6
5)-12^8
6)7^6
7)64
8)-10^5 or it can also be written as -100000
9) 9^3
10) x=12
The measures of the angles of a triangle are shown in the figure below. Solve for x. (2x+10) 36