Answer:
348
Step-by-step explanation:
(87)4
87×4
348
it's simple brackets mean multiplication
Vijay’s wages were increased from £115 per week to £130 per week.
What was the percentage increase to one decimal place?
Answer:
13%
Step-by-step explanation:
Increase = (New Number - Old Number) / Old Number
(130 - 115) / 115
15/115 = 0.130434783.
0.130434783 * 100 (to get the percentage) = 13.0%
Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less
Answer:
The 43rd day of spending $45.
Step-by-step explanation:
Let the number of days = x.
If she spends $45 per day, then in x days she spends 45x.
She starts with $2400, so 45x is subtracted from 2400.
2400 - 45x < 500
Subtract 2400 from both sides.
-45x < -1900
Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.
x > 42.2
Answer: The first day is the 43rd day of spending $45.
Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5/6
C.3/16,9/48
D.6/15,4/10
Need help with this question
Answer:
C. x = 3
Step-by-step explanation:
8x - 8 = 2x + 10
get the x on it's own
8x - 8 + 8 = 8x
2x + 10 + 8 = 2x + 18
8x = 2x + 18
8x - 2x = 6x
2x + 18 - 2x = 18
6x = 18
now divide each side by 6
6x / 6 = x
18 / 6 = 3
x = 3
X=3
Explanation
8x-8=2x+10
6x=18
x=3
what is the slope of the line through the points (2 , 5) and (-4 , 5)
Answer:
slope = 0/-6
Step-by-step explanation:
use the slope equation
m= y2-y1/ x2-x1
(2,5) (-4,5)
plug the points into the equation
5-5/-4-2
0/-6
it should turn out to be a horizontal line
slope = 0/-6
it wouldn't be undefined
undefined is when a #/0
Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution at t = 0.1,0.2, 0.3, 0.4, and 0.5. +2y=2-ey (0) = 1 Euler method for formula Yn=Yn-1+ hF (Xn-1-Yn-1)
Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:
t = 0.1: y ≈ 1.1
t = 0.2: y ≈ 1.22
t = 0.3: y ≈ 1.34
t = 0.4: y ≈ 1.47
t = 0.5: y ≈ 1.61
To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:
Yn = Yn-1 + h * F(Xn-1, Yn-1)
Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.
For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.
Using the initial condition y(0) = 1, we can proceed with the calculations:
t = 0.1:
Y1 = Y0 + h * F(X0, Y0)
= 1 + 0.1 * [(2 - e^1) / 2]
≈ 1 + 0.1 * (2 - 0.368) / 2
≈ 1 + 0.1 * 1.316 / 2
≈ 1 + 0.1316
≈ 1.1
Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.
Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.
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Convert 10pi/9 to degree measure.
Answer:
The answer is
200°Step-by-step explanation:
To convert an angle from degrees to radians multiply the value by \( \frac{180}{\pi} \)
From the question the value to be converted is \( \frac{10\pi}{9} \)
Converting it into degrees we have
\( \frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9} \)
We have the final answer as
200°Hope this helps you
A members-only speaker series allows people to join for $8 and then pay $20 for every
event attended. What is the total cost for someone to attend 2 events?
Answer:
48$
Step-by-step explanation:
20*2+8
Susan bought 12 colored pencils. Of these pencils, 1/2 were red, and 1/3 were green. How many more red pencils than green pencils did Susan buy
Answer:
2 more red pencils than green
Step-by-step explanation:
1/2 of 12 is 6
1/3 of 12 is 4
6-4=2
Answer:
Susan bought 2 more red pencils then green one.
Step-by-step explanation:
for red pencils: 1/2 of 12 is 6
for green pencils: 1/3 of 12 is 4
end result: 6-4 is 2
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table.
Total Shoreline (miles) 22 17 10 23 12 35 7
Maximum Depth (feet) 101 85 59 113 64 158 33
She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit:
y = 4.26x + 10.908.
Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?
Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft
How to interpret a Line of best fit?The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.
Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.
However, when the geologist found the graph, she arrived at an equation of best fit as;
y = 4.26x + 10.908.
Thus, for 31 miles of shoreline, the approximate maximum depth is;
Approximate maximum depth = 4.26(31) + 10.908.
Approximate maximum depth = 142.968 ft
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Answer:
143 feet
Step-by-step explanation:
its technically 142 and change but edmentum rounds up
Can u help me with this problem?
Answer:
No because the determinant of A is 0 .
Step-by-step explanation:
A starts the a -85 so n32 -24 = A- because 540i.7 is a so 0 so a is 0
Which of the following is a root of the polynomial function below?
F(x)= x³ +3x² - 5x-4
Answer:
3
Step-by-step explanation:
jus took test
Somebody answer this for me
your right its that one
Answer:
its d and e
Step-by-step explanation:
What is the measure of ZRVE?
60°
7
8
mer
R
Answer:
45 degrees
Step-by-step explanation:
180 - 60 - 75 = 45
Angle RVE is the same as angle LVA
Answer:
this might help you....
Use this diagram and information given to find mangleAFE.
abcdef500
Given: mangleAFB = mangleEFD = 65°
Points B, F, D and points E, F, C are collinear.
The measure of angleAFE is
°.
Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to \(180\) degrees. So, \(65 + 65 + x = 180\)
When we add \(65\) and \(65\) we get \(130\). So,
\(130 + x = 180\\\\x = 180 - 130 = 50\\\)
Henceforth, \(x\) or angle \(AFE\) is equal to \(50\) degrees. :D
Does an X or y-axis scale have to always start at zero?.
No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero
Define axis.A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.
Given,
No, X or y-axis scale does not have to always start at zero.
A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.
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Find the area of ABC if A = 50°, b = 19ft, c = 28ft
Answer:
50 ° , b = 19 f t , c = 28f t
Step-by-step explanation:
idk if im corecct or not (i think)
Engineers at an amusement park design a roller coaster that for every
four feet it runs, it rises 6 feet. For the roller coaster to rise 36 feet, how
many feet it must run?
Answer:
No sé la respuesta, pero traduce esto: D
Step-by-step explanation:
What is the solution ?
Answer:
C
Step-by-step explanation:
refer to the graph shown. if the market price is $3, a perfectly competitive firm:
Would produce market a quantity of 2 and make a profit of $1.
The graph shows the market supply and demand curves for a perfectly competitive firm. If the market price is $3, the firm would be operating at the intersection of the demand curve (D) and the marginal cost curve (MC). At that price, the firm would produce a quantity of 2 and incur a total cost of $2 (the area of the rectangle formed by the marginal cost and quantity). Since the market price is higher than the marginal cost, the firm would make a profit of $1 (the area of the triangle formed by the market price and quantity).
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What is a brief description of a radian?
simply saying its circular measure
plzzz z z z z helpp p p p
Answer:
Step-by-step explanation:CAN I HAVE YOURE POINTS AND ITS THE SECOND ONE
Matt's car can travel 555 miles on 15 gallons of fuel. Work out the rate of consumption of fuel of Matt's car in mpg
The rate of consumption of fuel of Matt's car is 37 miles per gallon (mpg).
Matt's car can travel a total distance of 555 miles.
The fuel required to travel the total distance is 15 gallons by Matt's car.
Hence the rate of consumption of fuel of Matt's car can be measured in mpg (miles per gallons) as = Total distance travelled / Total gallons required to travel that distance
(that is, total distance travelled divided by the total amount of gallons to travel the same)
Thus the mpg of Matt's car is = 555 miles / 15 gallons
= 37 miles per gallon
(that is 37 mpg)
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Betty and Bill just won $10,000 in the Pennsylvania state lottery. They decide to spend $3,000 now and put the remaining $7,000 in an investment earning 8 percent compounded annually. If they use the money in that investment for a vacation in five years, approximately how much will they have available to spend on that vacation?
Answer:
$10285.29
Step-by-step explanation:
The idea is to solve for the final amount when $7000 is invested and compounded
given data
principal= $7000
rate= 8%= 0.08
time =5years
We know that the expression for the final amount is
\(A = P(1 + {r)^{t}\)
A = 7000(1 + {0.08)^5
A=7000(1.08)^5
A=7000(.469328)
A= 10285.29
They have available to spend on that vacation $10285.29
If X is correlated with Y, what must be true about X and Y? Explain your reasoning. a. A corelation exists between two variables when both variables increase together b. Increasing values of X go with either increasing or decreasing values of Y. A comelation exists between two variables when both variables increase or decrease together c. Increasing values of X go with either increasing or deoreasing values of Y. A correlation exiss between X and Y when higher values of X consistently go with higher values of Y or when higher values of X consistently go with lower values of Y d. X causes Y. If Y decreases as X increases, then X must cause Y to change. e. Increasing values of X go with increasing values of Y. A correlation exists between two variables when both viariables decrease togetherf. X causes Y. If Y increases as X increases, then X must cause Y to change-
Answer:
it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.
Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.
Step-by-step explanation:
a is wrong because it only describes positive correlation, not negative correlation.
c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.
d and f are wrong because they assume causation from correlation, which is a logical fallacy.
e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.
If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.
Explanation:If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.
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Construct triange ABC, in which AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. Measure the length of BC. Give your answer to 1 d. P
From the construction of the triangle ABC we get that the measure length of BC is approximately 4.22cm
To construct triangle ABC, we can follow these steps:
Draw a line segment AB of length 6 cm.Draw an angle of 96 degrees at point A using a protractor.Draw an angle of 35 degrees at point B using a protractor.The intersection point of the two lines that were drawn in step 2 and 3 will be point C, which is the third vertex of the triangle.To measure the length of BC in triangle ABC, we can use the law of sines.
The law of sines states that in any triangle ABC:
a / sin(A) = b / sin(B) = c / sin(C)
Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.
In our triangle ABC, we know AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. We can find the measure of angle ACB by using the fact that the sum of the angles in a triangle is 180 degrees:
angle ACB = 180 - angle BAC - angle ABC
= 180 - 96 - 35 = 49 degrees
Now, we can apply the law of sines to find the length of BC:
BC / sin(35) = 6 / sin(96)
BC = 6 × sin(35) / sin(96)
Using a calculator, we can evaluate this expression to get:
BC ≈ 4.22 cm
Therefore, the length of BC in triangle ABC is approximately 4.22 cm.
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The BLS uses sampling for its National Compensation Survey to report employment costs. In its second stage of sampling, it divides employers by size. What type of sampling is this
The type of sampling used by the BLS (Bureau of Labor Statistics) for its National Compensation Survey, where employers are divided by size in the second stage of sampling, is known as stratified sampling.
Stratified sampling involves dividing the population into subgroups or strata based on certain characteristics or criteria. In this case, the BLS divides the employers into different size categories. Within each stratum, a sample is then randomly selected to represent that specific subgroup. This approach allows for a more precise estimation of employment costs within each size category. By using stratified sampling, the BLS ensures that the sample is representative of the different employer sizes and allows for more accurate and reliable estimates of employment costs at a national level.
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28. There are 5 red marbles, 9 blue marbles, 4
yellow marbles and 2 green marbles in a bag.
a
What is the ratio of red marbles to the total
marbles in the bag?
Answer:
Step-by-step explanation:
There are a total of 5 + 9 + 4 + 2 = 20 marbles
The number of red marbles is 5
Therefore the ratio of red to total = 5/20 or 1/4
What is the answer I need help ASAP be truthful
Answer:
your closest number should be A
Answer:
A.√99
Step-by-step explanation:
10^2 = 100
Or vise versa √100 = 10
The closest number to 100 is 99
So √99 is closest to 10
The pair of triangles is similar. Find the value of x.
Answer:
22
Step-by-step explanation:
Bc u mulitply