Answer:
3x-2
Step-by-step explanation:
JL = JM - LM
= 5x-8 - (2x-6)
= 5x-8 -2x+6
= 5x-2x -8+6
= 3x-2
Answer:
A
Step-by-step explanation:
4 A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 13 yards and a double 7 window requires 16, yards of fabric. If there are two single windows and one double window, how much fabric is required?
The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.
As per the information we have received from the question,
A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to
13×(no of single windows)+ 16×(no of double windows)
Here, no of single windows= 2
And, no of double window= 1
Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards
Hence the solution is 42 yards of fabric.
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help please ASAP!!!!!
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how did the time traveller explain how time travel was possible? what is his experimental verification?
The time traveler explained that time travel was possible by utilizing a time machine that allowed him to manipulate the fabric of space-time.
"The Time Machine" by H.G. Wells, the Time Traveler explains that time travel is possible by using a device he invented called the Time Machine. He describes the concept of the fourth dimension, suggesting that time is like a spatial dimension that can be traversed.
The Time Traveller's experimental verification involves him actually using the Time Machine to travel into the future. He shares his experiences of traveling to the year 802,701 AD, where he encounters two different species: the Eloi and the Morlocks. He provides vivid descriptions of the future society and the physical changes that have occurred over time.
By sharing his personal experiences and observations from his journey, the Time Traveller provides experimental evidence for the possibility of time travel.
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Determine whether the following sequence is an arithmetic or geometric progression.Give a reason for your answer.
100p,50p,25p,...
Answer: geometric
Step-by-step explanation:
the first number, 100, is divided by 2 to become 50, and the second number, 50, is divided by 2 to get 25 and so on
1 - 4 + 16-64..., n=9
Answer:
n=1/6
Add the numbers
1
−
4
+
1
6
−
6
4
=
9
{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9
1−4+16−64n=9
1
3
−
6
4
=
9
{\color{#c92786}{13}}-64n=9
13−64n=9
2
Rearrange terms
1
3
−
6
4
=
9
{\color{#c92786}{13-64n}}=9
13−64n=9
−
6
4
+
1
3
=
9
{\color{#c92786}{-64n+13}}=9
−64n+13=9
3
Subtract
1
3
13
13
from both sides of the equation
−
6
4
+
1
3
=
9
-64n+13=9
−64n+13=9
−
6
4
+
1
3
−
1
3
=
9
−
1
3
-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}
−64n+13−13=9−13
4
Simplify
Subtract the numbers
Subtract the numbers
−
6
4
=
−
4
-64n=-4
−64n=−4
5
Divide both sides of the equation by the same term
−
6
4
=
−
4
-64n=-4
−64n=−4
−
6
4
−
6
4
=
−
4
−
6
4
\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}
−64−64n=−64−4
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
1
6
A partly-full paint can has 0.878 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 13.7 m2), how thick is the layer of wet paint? Give your answer in meters.
a) The volume of paint left in the can is:
.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
b) the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:
0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:
Volume = area * thickness
We want to solve for the thickness, so we rearrange the formula to get:
Thickness = Volume / area
The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:
0.003321 m^3
The area of the wall is given as:
13.7 m^2
So the thickness of the layer of wet paint is:
0.003321 m^3 / 13.7 m^2 = 0.000242 m
Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
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Julianna has 32 pieces of candy in a jar. Julianna only has 2 kinds of candy, jolly ranchers and Twix. For every 4 Twix bars, she had two pieces of jolly ranchers. How many pieces of each candy in the candy jar.
Answer:
the data set seems wrong, since for every 4twix bars, she had 2 pieces of jolly ranchers; so ratio 4 twix bars : 2 ranchers is to be use but it wouldn't work, it can only work for the first 30 candies ( 20twix bars and 10 ranchers) so the last 2 candies( if following the ratio will be 4/3 for the twix bars and 2/3 for the ranchers)
Plzz help 15 points
Which of the following graphs show
f(x) =
x + 1, when x < 1
4, when ≥ 1
Answer:
I think its C if I'm wrong, sorrryyy
multiple linear regression allows for the effect of potential confounding variables to be controlled for in the analysis of a relationship between x and y.
t
f
The statement "Multiple linear regression allows for the effect of potential confounding variables to be controlled for in the analysis of a relationship between x and y" is True
What is multiple linear regression ?Multiple linear regression serves as a statistical technique to investigate the connection between a dependent variable (y) and multiple independent variables (x1, x2, x3, etc.). By embracing several variables concurrently, it enables the examination to incorporate and account for potential confounding variables, thereby enhancing the accuracy of the analysis.
Confounding variables represent variables that exhibit associations with both the independent variable and the dependent variable. This coexistence may lead to a misleading or distorted relationship between the two.
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Match the missing parts of the triangle with their correct length or measure.
HINT: The ONLY right triangles we are given in this problem are ADB and BDC. Triangle ABC is NOT necessarily a right triangle.
Given:
DB=24
AD=32
AC=42
DC=10
BC=26
AB=40
Measure
Measure of
Find:
Measure
Measure
Measure
Measure
Measure
The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.
What is a right angle triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given that, in △BCD
BD = 24 m
DC = 10 m
BC = 26 m
△BCD is a right angle triangle.
The trigonometry ratio of sine is ratio of height to hypothenuse.
With respect to C, the height of △BCD is 24m and hypothenuse is 26m.
sin C = height/hypothenuse
sin C = 24/26
C = 67.38°
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A 45 year old male weighing 165 lbs is exercising at 2.26 L/min. What is his exercise intensity in METS? 12.42 METS 7.91 METS 0.17 METS 8.61 METS Given the following information, which athlete would have the best running economy? Runner A: VO2 of 44 ml/kg/min at 8 mph Runner B: VO2 of 42 ml/kg/min at 7.5 mph Runner C: VO2 of 46 ml/kg/min at 9 mph Runner B Not enough information Runner C Runner A
Athlete would have the best running economy Runner B: VO2 of 42 ml/kg/min at 7.5. Option B
To calculate exercise intensity in METs (metabolic equivalents), we need to know the resting metabolic rate (RMR) of an individual. Without the RMR information, we cannot determine the exercise intensity in METs for the 45-year-old male exercising at 2.26 L/min. Therefore, the exercise intensity in METs cannot be determined, and the correct answer is "Not enough information."
Regarding the question about which athlete has the best running economy, we can compare the VO2 values at the given running speeds.
Runner A: VO2 of 44 ml/kg/min at 8 mph
Runner B: VO2 of 42 ml/kg/min at 7.5 mph
Runner C: VO2 of 46 ml/kg/min at 9 mph
Running economy refers to the energy cost or oxygen consumption required to maintain a given running speed. In this case, a lower VO2 value indicates better running economy.
Comparing the given VO2 values, we can see that Runner B has the lowest VO2 of 42 ml/kg/min at 7.5 mph. This means Runner B has the best running economy among the three athletes. Option B
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1/x+3 + 1/x-3 = 6/x^2-9
Answer\(x=-\frac{1+\sqrt{55} }{9}\)\(x\neq 0\)
Step-by-step explanation:
1/x +3+ 1/x -3=6/x^2 -9
x+x=6-9x^2
x+x-6+9x^2=0
quadratic formula
Simplify (4x − 6) + (5x + 1). 9x + 5 9x − 5 x − 5 −x − 5
Answer:
9x - 5
Step-by-step explanation:
Simplify:
(4x − 6) + (5x + 1) = ⇒ opening parenthesis 4x - 6 + 5x +1 = (4x+ 5x) + (1 -6) = ⇒ grouping like terms9x + (- 5) = ⇒ simplifying like terms9x - 5 ⇒ answerCorrect choice: B. 9x -5
Answer:
9x - 5
Step-by-step explanation:
c(n)=-6+5(n-1) Find the 8th term in the sequence
Answer:
-7
Step-by-step explanation:
c(8)=-6+5x7
c(8)=-1x7
c(8)=-7
whats the answer to 3/4 [4÷(7-4)]
Answer:
\(\frac{3}{4}\) [4÷(7-4)]=1.
Step-by-step explanation:
first we need to convert \(\frac{3}{4}\) into a decimal (0.75) to make it easier to solve. now we have 0.75 [4÷(7-4)]. using the order of operations, we get 1 as the answer.
Evaluate this expression when x is -250
-2x+400
Answer:
900
Step-by-step explanation:
-2(-250)+400
or, 500+400
=900
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You hike 400 feet up a steep hill that has a 25 degrees angle of elevation as shown in the diagram.
Give each side and angle measure rounded to the nearest whole number.
9514 1404 393
Answer:
a = 169 ft, b = 363 ft, B = 65°
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the necessary trig relations. For side 'a', opposite the given angle A, the appropriate relation is ...
Sin = Opposite/Hypotenuse
a = (400 ft)sin(25°) ≈ 169 ft
For side 'b', adjacent to the given angle, the appropriate relation is ...
Cos = Adjacent/Hypotenuse
b = (400 ft)cos(25°) ≈ 363 ft
Of course angle B is the complement of angle A:
B = 90° -25° = 65°
__
In summary, ...
(a, b, A) = (169 ft, 363 ft, 65°)
f(x)=x-3/x+2 determine for each x-value where it is in the domain of f or not
-2 yes/no
0 yes/no
3 yes/no
PLS
f(x) = (x - 3)/(x + 2)
As the equation is basically a fraction the only thing that can be out of domain is if the denominator is equal to 0, so let's see when the denominator can be 0
x + 2 = 0
x = -2
So -2 is out of domain and all the other numbers are inside the domain.
Answer:
\(-2 \implies \sf no\)
\(0 \implies \sf yes\)
\(3 \implies \sf yes\)
Step-by-step explanation:
Given rational function:
\(f(x)=\dfrac{x-3}{x+2}\)
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
A rational function is not defined when its denominator is zero.
Therefore, to find when the given function f(x) is not defined, set the denominator to zero and solve for x:
\(x+2=0 \implies x=-2\)
Therefore, the domain is restricted to all values of x except x = -2.
This means that the domain of f(x) is (-∞, 2) ∪ (2, ∞).
In conclusion:
x = -2 is not in the domain of f(x).x = 0 is in the domain of f(x).x = 3 is in the domain of f(x).9:41 AM Tue 9 Jan < 5 TO AOQK D 오 4) Jean earns $15 more than Len in a week. Every week, they will spend $80 on Brawl Stars and save the rest. When Jean saves $120, Len would have saved $75. How much do both of them earn altogether in 4 weeks?
Answer:
Let's start by setting up some equations based on the given information.
Let's say that Len earns x dollars in a week. Then we know that Jean earns $15 more than Len, so Jean earns x + 15 dollars in a week.
We also know that each week they spend $80 on Brawl Stars and save the rest. So if they each save s dollars per week, we can set up the following equations:
Jean: x + 15 - 80 = s
Len: x - 80 = s
We also know that when Jean saves $120, Len saves $75. So we can set up another equation based on this information:
(x + 15 - 80) * n = 120
(x - 80) * n = 75
where n is the number of weeks we're considering (in this case, 4).
Now we can solve for x:
(x + 15 - 80) * 4 = 120
-260 + 4x = 120
4x = 380
x = 95
So Len earns $95 per week, and Jean earns $15 more than that, or $110 per week.
We can also solve for s:
Jean: 95 + 15 - 80 = s
s = 30
Len: 95 - 80 = s
s = 15
So each week, Jean saves $30 and Len saves $15.
Finally, we can calculate how much they earn altogether in 4 weeks:
Jean: 4 * 110 = 440
Len: 4 * 95 = 380
Together, they earn $440 + $380 = $820 in 4 weeks.
Let x,y and z be three independent n(2,1) random variables. find e[xy |x z = 1].
To find E[xy | xz = 1], we calculate the conditional expected value of xy given xz = 1 using the joint distribution of (x, y, z).
To find the conditional expected value of xy given xz = 1, we follow a three-step process. First, we determine the joint distribution of (x, y, z), which is multivariate normal since x, y, and z are independent normal random variables with mean 2 and variance 1. Second, we compute the conditional distribution of xy given xz = 1 using properties of the multivariate normal distribution, obtaining the conditional mean vector μ' and covariance matrix Σ'. The conditional mean vector μ' is calculated based on the means and covariances of the variables involved. Lastly, we find the expected value of xy given xz = 1 by integrating the product of the conditional mean of xy, μ'xy, over the joint distribution of x and y.
To summarize, to determine E[xy | xz = 1], we first find the joint distribution of (x, y, z), then derive the conditional distribution of xy given xz = 1, and finally evaluate the expected value of xy based on the conditional distribution.
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Plz help me.. thanks if you do
Answer: the answer is C.
Step-by-step explanation: 5 is lesser than or equal to meaning its a open sign. and 2 is the opposite.
Answer:
The answer is C!
Step-by-step explanation:
Hope you have a great day :D
(Brainliest?)
helloooo I need this simplified, also please show work cause id.k how to do this :)
\(\frac{7\sqrt{10x} }{\sqrt{6} }\)
Answer:7√(10x)×√6/(√6×√6)=7/6×√60x
Step-by-step explanation:
12 C 6 B F 8 B 20 a. What is the length of segment A'A? Type the answer in the box below. length of segment A'A = 18 b. What is the length of segment B'B? Type the answer in the box below. length of segment B'B = I
The length of the segment A'A is 18 units
The length of the segment B'B is 8 units
What is the length of segment A'A?From the question, we have the following parameters that can be used in our computation:
The similar triangle
Using the ratio of corresponding sides, we have
(AA' + 12)/20 = 12/8
So, we have
AA' + 12 = 20 * 12/8
AA' + 12 = 30
Evaluate
AA' = 18
What is the length of segment B'B?Here, we have
(BB' + 6)/20 = 6/8
So, we have
BB' + 6 = 20 * 6/8
BB' + 6 = 15
Evaluate
BB' = 8
Hence, the length is 8 units
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Which expression is represented by the model below?
Answer:
-5+3....................
Fill in the table using this function rule.
y=26-4x
The complets table of values for the function rule
x 1 2 4 6
y 22 18 10 2
Completing the table of values for the function ruleFrom the question, we have the following parameters that can be used in our computation:
y = 26 - 4x
The missing y values are at x = 1, 2, 4 and x = 6
Substitute the known values in the above equation, so, we have the following representation
y = 26 - 4(1) = 22
y = 26 - 4(2) = 18
y = 26 - 4(3) = 10
y = 26 - 4(6) = 2
So, the missing values are 22, 18. 10 and 2
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a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050. what is the standard error of the mean?
The standard error of the mean is $128.125
Given:
a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050.
n = 256
σ = 2050
standard error = standard deviation / sqrt of n
= 2050/\(\sqrt{256}\)
= 2050 / \(\sqrt{16*16}\)
= 2050 / \(\sqrt{16^2}\)
= 2050/16
= 1025/8
= 128.125
Therefore The standard error of the mean is $128.125.
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Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve the problem, starting at 0, moving right to 7, and then moving 2 units to the left. Explain Ken’s error.
Answer:
Ken’s error was showing a decrease in temperature by moving 2 units left on the number line. He should have moved 2 units right to represent an increase in temperature of 2°CStep-by-step explanation:
BRAINLIST!!! SHOW WORK!!!!!
Lines AB and CD are perpendicular to each other. If 3 measures (5x + 2)°, and 4 measures 13°, what is the value of x?
A.
x = 15
B.
x = 77
C.
x = 2
D.
x = 21
Answer:
A is the correct option.
Step-by-step explanation:
Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.
Then,
(5x + 2) ° + 13° = 90°
5x + 15° = 90°
5x = 75°
x = 15°
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y)
Answer:
f (x,y) = sin (x,y) & points = (1,0)
Maximum rate of change in f at given point & direction = 1
Step-by-step explanation:
The function & points are not given,
Considering them as general example : f (x,y) = sin (x,y) & points = (1,0)
Maximum rate of change in f (x,y) happens in direction of ∇ f (1,0)
∇ f (x,y) = [ df / dx , df/ dy ]
= [ y cos (xy) , x cos (xy) ]
∇ f (1,0) = [ 0, cos (0) ] = (0,1)
Magnitude at (1,0) = ∇ f (1,0) = √ 0^2 + 1^2 = 1
Dante is working at Pizza Hut and trying to impress his boss for a promotion. His boss has been trying to figure which of these pizzas has an area closest to 450 square inches, and he came to Dante for help finding the answer because Dante is really good at math. Which one of these pizzas did he determine has an area closest to 450 square inches? (Use 3.14 for pi)
Form the given radius of Pizza's the area which is closest to 450 square inches is equal to Pizza with radius 12 inches.
Closest area of the required pizza is equal to
450 square inches
Value of π = 3.14
Pizza is circular in shape.
Let 'r' be the radius of the Pizza.
Area of the Pizza = πr²
1. Radius 'r' = 9 inches
Area = 3.14 × (9)²
⇒ Area = 254.34 square inches
2. Radius 'r' = 12 inches
Area = 3.14 × (12)²
⇒ Area = 452.16 square inches
3. Radius 'r' = 15 inches
Area = 3.14 × (15)²
⇒ Area = 706.5 square inches
Closest areas to 450 square inches is option 2. radius = 12 inches.
Therefore, the closest radius presenting the closest given area 450 square inches is equal to 450 square inches.
The above question is incomplete , the complete question is:
Dante is working at Pizza Hut and trying to impress his boss for a promotion. His boss has been trying to figure which of these pizzas has an area closest to 450 square inches, and he came to Dante for help finding the answer because Dante is really good at math. Which one of these pizzas did he determine has an area closest to 450 square inches? (Use 3.14 for pi).
Pizza Radius
Small 9 inches
Medium 12 inches
Large 15 inches
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