The statement that is true about the estimate is that the number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1 (option D).
How to estimate an exponential function?According to this question, Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14).
This expression can be mathematically written as:
(4.296 × 10¹¹) (1.8614 × 10-¹⁴)
The result of this expression is 7.996 × 10-³, which is value less than 1.
Therefore, the number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.
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Madison is going to invest in an account paying an interest rate of 5.1% compounded quarterly. How much would Madison need to invest, to the nearest hundred dollars, for the value of the account to reach $310 in 12 years?
Answer:
200
Step-by-step explanation:
Which function describes this graph?
O A. y = (x+5)(x-3)
B. y = x2 + 5x+12
O C. y -(x-2)(x - 5)
D. y = 2.7x+10
Answer: B
Step-by-step explanation:
write the equation of the line fully simplified slope-intercept form
Answer:
y = - 5x + 6
Step-by-step explanation:
m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\) (slope of a line)
y = mx + b (slope - intercept form) , "b" is y-intercept (0, b)
(2, - 4)
(1, 1)
m = \(\frac{-4-1}{2-1}\) = - 5
y-intercept is 6
y = - 5x + 6
Calculate the pressure if there is 506 N of force spread out over the area of 9.1 m
The required pressure for the given information is 55.6 N/m².
How to find pressure using force and area?Pressure is defined as the force exerted per unit area. It can be calculated by dividing the force by the area over which it is spread. In this case, the force is 506 N and the area is 9.1 m², so the pressure can be calculated as follows:
Calculation for data:pressure = force / area
= 506 N / 9.1 m²
= 55.6 N/m².
The unit of pressure is N/m² or Pascal (Pa). Therefore, the pressure in this case is 55.6 Pa. This means that for every square meter of area, there is a force of 55.6 N acting on it. The pressure can be used to determine the force required to cause deformation of an object, the amount of gas in a container, and many other physical phenomena.
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The Sides of triangle 15ft., 17ft and 13 ft. Find the measure of the angle opposites the longest side. Round your answer to the nearest degree.
A. 74 degrees
B. 47 degrees
C. 58 degrees
D. 106 degrees
Answer:
Your answer rounded to the nearest degree is 47
14. If EF bisects CD, CG = 5x - 1, GD = 7x - 13, EF = 6x - 4, and GF = 13, find EG.
3. EF = 6-a. and Cr -13, cihad ES
Greetings from Brasil....
As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD
5X - 1 = 7X - 13
X = 6
EF = EG + GF
6X - 4 = EG + 13 x = 6, so
6·6 - 4 = EG + 13
EG = 19(see attachment)
What does the digit 2 represent in 701, 280?
Twenty thousand
Two hundred
Two hundred thousand
Two thousand
Pls help. Due in 15 mins
Answer:
D. the number of dogs in the shelter compared to the number of cats in the shelter.
3(x -0.8) = 4x + 4
Please help me I’ve been stuck on this question for a little bit.
Answer:
x = -6.4
Step-by-step explanation:
Distribute
3x - 2.4 = 4x + 4
Combine like terms
-6.4 = 1x
x = -6.4
Answer:
X=-6.4
Step-by-step explanation:
y = 4x + 15
-4x + 4 = 12
can someone help me with this pleasee !
(giving brainly)
Answer: y = x + 19
Step-by-step explanation:
y=4x+15-4x+4=12
y=4x-4x=15+12+4
y=x+19
Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
Which statements are true about the residual plot and the equation for the line of best fit for the data? select two options.. the equation for the line of best fit is not a good approximation for the data because the points have a curved pattern. the equation for the line of best fit is a good approximation for the data because the points are random, having no pattern. the residual plot has a linear pattern. the points of the residual plot are spread evenly above and below the x-axis. the residual plot has the pattern of a curve.
The statements are true about the residual plot and the equation for the line of best fit include:
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.The residual plot has the pattern of a curve.What is Residual plot?
This shows the residuals on the vertical axis and the independent variable on the horizontal axis.
Since the plot has a curved pattern, the equation for the line of best fit is not a good approximation for the data as the result will be inaccurate.
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Answer:
A and C
Step-by-step explanation:
3. The LCM of two numbers is 60. If the product
of the two numbers is 180, find their HCF.
explanation: as we know lcm=60 , a*b=180
lcm * hcf= product of two no.
let the no. be 'a' and other be 'b'
therefore, a*b=180
lcm*hcf=a*b
60*hcf = 180
hcf=180/60
hcf= 3
answer: 3
what is the area of the triangular prism repersented by the net below?
Answer:
Step-by-step explanation:
attach an image
Answer this question, if anyone just posts an answer that is not relevant to this question will be reported.
Answer:
A is the correct answer
Step-by-step explanation:
I have looked at your bar graph.
What about B?
B is wrong because the first bar doesn't reach 5.8 billion
And C & D are wrong for the same reason. I hope this helps you:)
Note:
My answer WAS relevant to your question.
Answer:
tysm have a great day! Go rose!
Step-by-step explanation:
PLS HELP 50 POINTS+ BRAINLY FOR CORRECT ANSWER
For each equation, explain what you could do first to each side of the equation so that there would be no fractions.
To clear fractions you need to multiply both sides by same number.
This number is the least common multiplier (LCM) of both denominators.
Question 1Denominators are 4 and 8, LCM of 4 and 8 is 8Multiply both sides by 8.Question 2Denominators are 6 and 4, LCM is 12.Multiply both sides by 12.Question 3Denominators are 10 and 5, LCM is 10.Multiply both sides by 10.Question 4Denominators are 15 and 10, LCM is 30.Multiply both sides by 30.There are 4 consecutive integers that have a sum of 54. What is the greatest of the 4 integers?
Answer:
x + x-1 + x-2 + x-3 =54.
x-1
Answer:
15
Step-by-step explanation:
Let the consecutive numbers be x, x + 1, x + 2, x + 3
==========
x + x + 1 + x + 2 + x + 3 = 544(x) + 6 = 544(x) = 54 - 64(x) = 48x = 12Greatest of the 4 integers:
x + 312 + 315The black graph is the graph of y=f(x). Choose the equation for the red graph.
Answer:
y-1 = f(x)
Step-by-step explanation:
Here, we want to choose the equation for the ref graph
The red graph as we can see is above the black
This means it is more positive
The difference between the two is just 1 unit
By the addition of 1 to the y-value of the black graph, we get the red
Thus, we have that;
y- 1 = f(x)
The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?
what is the best-predicted linear regression for this correlation? assume that the criterion is the iq score and the predicted variable is the gpa.
The best-predicted linear regression for the correlation between IQ scores and GPA would involve fitting a line to the data points that minimizes the sum of squared errors between the predicted and actual values.
Linear regression is a statistical technique used to model the relationship between two variables. In this case, IQ score is the predictor or independent variable, and GPA is the response or dependent variable. The goal of linear regression is to find the best line that describes the relationship between these two variables.
To determine the best-fit line, we use a method called least squares regression, which minimizes the sum of the squared errors between the predicted and actual values. The equation for the best-fit line is Y = b0 + b1*X, where Y is the predicted value of GPA, X is the observed value of IQ score, b0 is the intercept or Y-intercept, and b1 is the slope of the line.
Once we have calculated the values of b0 and b1, we can use the equation to predict the GPA of a student based on their IQ score. The predicted GPA value will be the Y value on the line that corresponds to the X value of the student's IQ score.
It's important to note that linear regression assumes a linear relationship between the two variables and that the relationship is not influenced by any other factors. Additionally, it's important to consider the reliability and validity of the measures used to assess IQ score and GPA, as well as any potential confounding variables that may affect the relationship between the two variables.
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Mary, who is married and the mother of three, is 35 years and expects to work until 75. She earns $55,000 per year. Mary expects inflation to be 3% over her working life, and the appropriate risk-free discount rate is 5%. Her personal consumption is equal to 27% of her after-tax earnings, and her combined federal and state marginal tax bracket is 15%. What is the amount of life insurance necessary for Mary using the Human Life Value method?
What if Mary works until 70? What would be the amount of life insurance necessary for her?
What is the amount of life insurance necessary for Mary using the Capitalization of Earnings method if she works until 75?
What is the amount of life insurance necessary for Mary using the Capitalization of Earnings method if she works until 70?
Mary's HLV is $2,215,773.95.
Mary's HLV if she works until 70 is $1,611,008.23.
Mary's COE if she works until 75 is $5,130,372.40.
Mary's COE if she works until 70 is $2,985,308.60.
How to find amount of life insurance?To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.
Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750
Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33
Total personal consumption = 27% x $3,382,820.33 = $914,073.89
Calculate Mary's HLV:
= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89
= $2,215,773.95
Therefore, Mary's HLV is $2,215,773.95.
If Mary works until 70 total after-tax = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09
Mary's HLV if she works until 70 is $1,611,008.23.
To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:
Calculate Mary's expected earnings in her final year of work:
Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62
Apply a capitalization rate to the expected earnings:
COE = expected earnings in final year / capitalization rate
= $256,518.62 / 0.05
= $5,130,372.40
Therefore, Mary's COE if she works until 75 is $5,130,372.40.
If Mary works until 70, her expected earnings in her final year of work would be:
Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43
Mary's COE if she works until 70 is $2,985,308.60.
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Write the equation of the line that contains the points (1, -6) and (-3, 10)
First, let's calculate the slope:
\(\begin{gathered} m=\frac{-6-10}{1-(-3)}\rightarrow m=\frac{-16}{1+3}\rightarrow m=\frac{-16}{4} \\ \rightarrow m=-4 \end{gathered}\)Using this, point (1, -6) and the slope-point form, we get that the equation is:
\(\begin{gathered} y-(-6)=-4(x-1) \\ \rightarrow y+6=-4x+4 \\ \rightarrow y=-4x-2 \end{gathered}\)Thereby, the equation of the line is
\(y=-4x-2\)Why is the property of closure important in math?
Understanding a set’s nature or properties is made easier by its closure property
What is the Closure Property?The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.
Why Closure Property is important?
Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”
Example – The set of even number is closed under subtraction
Even – Even = Even
6 – 4 = 2
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What is the value of 3 + (-6) + (−2/5 )?
Adding a negative number is the same as subtracting its positive.
-> Rewrited as 3 - 6 - 2/5
= 15/5 - 30/5 - 2/5 = -17/5 (= -3.4)
b) Which of these is the largest number?
1.201
A
1.2
B
1.21
с
1.2
D
Answer:
C
Step-by-step explanation:
If you put zeros at the end of the decimals or look at the digits, it can really make it easier.
A=1.201
B=1.200
C= 1.210
D= 1.200
Now, you see that in the hundredths place for C that there's 1 while the others have 0? That's how you can solve it!
Let y = 2(x – 3)2 – 6.
Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation is one-to-one. (5 points)
Part B: Determine y–1. Show all necessary calculations. (5 points)
Part C: Prove algebraically that y and y–1 are inverse functions. (5 points)
The given y = 2(x – 3)² – 6 is a function because one x-value maps to only one y-value.
What is a function?The function is a type of relation, or rule, that maps one input to a specific single output.
We are given y = 2(x – 3)² – 6.
Part A: Yes, the given is a function because one x-value maps to only one y-value.
As the function is not one-to-one due to one y-value sometimes can map to two x-values.
For the domain (3, + ∝), the relation is a one-to-one function.
Part B:
y = 2(x – 3)² – 6
y + 6 = 2(x – 3)²
(x – 3)² = y/2 + 3
x - 3 = ± √y/2 + 3
Thus, x = 3 ± √y/2 + 3
Hence y and \(y ^{-1}\) are an inverse function
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Given F(x)= 5x^6 what is the domain? What is the range?
The domain is (-∞,∞) and the range is [0,∞)
Answer:
Domain: all real numbers
Range: y bigger or equal to 0
Step-by-step explanation:
EDG2021
I need this fast pls
Answer:
17%
Step-by-step explanation:
As you may see, the area is 100, so as much there is colored in squares, that will be the percentage, so if you count them, you will see that there are 17, and that will be your answer.
Tell me if I'm wrong :)
Answer:
17%
Step-by-step explanation:
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
what two fractions are equivalent to 40/100
Answer:
20/50 2/5
Step-by-step explanation: