Answer:
see the attachment
Step-by-step explanation:
Each table value is found by substituting the given value of x into the equation for y, and doing the arithmetic.
__
y = -10x +2 . . . . . given equation for y
x = -1y = -10(-1) +2 = 10 +2 = 12 . . . . put -1 where x is
x = 0y = -10(0) +2 = 0 +2 = 2 . . . . put 0 where x is
The other values are found in similar fashion. The table below lists the results.
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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Madison has a loyalty card good for a 15% discount at her local grocery store. What
number should she multiply the prices on the tags by to find the price she would have
to pay, before tax, in one step?
Madison should multiply the price on the tag by (1-0.15) = 0.85 to find the price she would have to pay
How may math issues involving discounts be solved?Discount Formulas can be used to solve Discount problems in mathematics. It aids in boosting sales. Where M.P. (Marked Price) denotes the item's full retail cost without any discounts. The selling price, or S.P., is what consumers pay for the item. A percentage of the marked price is the discount.
The loyalty card gives a 15% discount so Madison should multiply the price on the tag by (1-0.15) = 0.85 to find the price she would have to pay, before tax, in one step.
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5
Select the correct answer.
Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount?
OA.
12%
OB.
25%
Ос.
50%
OD
60%
Reset
Next
Answer:
B
Step-by-step explanation:
12 is 1/4 of 48 so when you take $12 off $48 you take 1/4 of 25% away
PLEASE HELP Find the value of x.
X
15
12
Answer: x = 9
Step-by-Step Solution:
Hypotenuse = 15 units
Base = 12 units
Altitude = x units
Using Pythagoras Theorem,
=> Hypotenuse^2 = Base^2 + Altitude^2
(15)^2 = (12)^2 + x^2
225 = 144 + x^2
225 - 144 = x^2
81 = x^2
x^2 = 81
x = √81
=> x = 9
Therefore, Altitude = 9 units
what is the answer for f(0)-2f(-2)+f(2/3)=
please can someonehelp me with this please.
here is the picture
The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
What is Domain of a function?Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.
Given is the function as -
f(x) = (x - 3)²
{ 1 } -
The domain of the function f(x) = (x - 3)².
The function has no undefined points. So, we can write the domain as -
Domain → (- ∞ , + ∞)
{ 2 } -
The inverse of the function f(x) = (x - 3)².
We have -
f(x) = (x - 3)²
y = (x - 3)²
x = (y - 3)²
y - 3 = √x
y = 3 + √x
Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
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which could be the graph of f(x)=lx-hl+k and k are both positive
The the graph for the linear systems, in which, h and k are both positive is : Option A
What is the graph of the function?The equation given in the problem is:
f(x) = |x - h| + k
Here, h and k are both positive.
To select the graph of the linear function of the equation f(x) = |x - h| + k where, h and k are both positive follow the steps below:
The graph of the function y = f(x - a) + b (a > 0, b > 0) is obtained from the graph of the function y = f(x) by translating right a units and up b units.
The graph of the function y = |x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).
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Josiah can jog 5/6 mile in 15 minutes. What’s the average speed in miles per hour?
the mean of four numbers is 12 and the mean of another six numbers is 22 what is the mean of all ten numbers?
To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.
In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.
To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.
Pls answer this fast
Answer: C
Step-by-step explanation:
1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5
2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.
3. she picked 24 ounces of blueberries each day.
The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.
P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20
Using the inverse function, it is found that the equation is:
\(P(t) = \frac{e^{0.1t}}{50} + 20\)
It's initial value is 20.
---------------------------
We want to find the inverse of:
\(y = P^{-1}(t) = 10\ln{50t - 1000}\)
To do this, we exchange y and t, and isolate y.
Then:
\(10\ln{50y - 1000} = t\)
\(\ln{50y - 1000} = \frac{t}{10}\)
\(e^{\ln{50y - 1000}} = e^{0.1t}\)
\(50y - 1000 = e^{0.1t}\)
\(50y = e^{0.1t} + 1000\)
\(y = \frac{e^{0.1t} + 1000}{50}\)
\(y = \frac{e^{0.1t}}{50} + \frac{1000}{50}\)
\(P(t) = \frac{e^{0.1t}}{50} + 20\)
It's initial value is:
\(P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02\)
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
find the absolute valve of 1 1/2 - 2/31
Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.
1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.
Now we can subtract 2/31 from 3/2:
3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.
The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.
Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.
(1) y - 11 = 4
(2) y = 2x + 3
Answer:
y = 15 , x = 6
Step-by-step explanation:
you can easily find y from first equation
Move y to the other side of the equation and reverse its sign
so (-11) changes to (+11) and now we have this equation
y = 15
now you must replace 15 instead of y in second equation ,then we have this equation
15 = 2x + 3
now we have to find x
move (+3) to other side of equation and reverse its sign
(+3) changes to (-3)
we have this equation now
15 - 3 = 2x
12 = 2x
x = 12 ÷ 2 = 6
Multiply 3.4 x 104 times 2.1 x 108 by using scientific notation. Write your
answer in scientific notation.
(Round your answer to the nearest tenth.)
Answer:
\(7.14\times10^{12}\)
Step-by-step explanation:
Given the following question:
\(3.4\times10^4\times2.1\times10^8\)
In order to find the answer to this question we convert both scientific notations into standard form, multiply, and then convert back into scientific notation.
\(3.4\times10^4\times2.1\times10^8\)
\(3.4\times10^4\)
\(3.4\times10^4=3.4.0.0.0.=34000\)
\(2.1\times10^8=2.1.0.0.0.0.0.0.0.=210000000\)
\(34000\times210000000\)
\(34000\times210000000=7140000000000\)
\(7140000000000=7.14\times10^{12}\)
\(7.14\times10^{12}\)
Hope this helps.
How are (5.3,1) and (-5.3,1) related?
Answer:
i think because theyre like terms, im not sure tho
- Which expression is NOT equal to 1/30
Answer:
1+1=2
Step-by-step explanation:
please mark me brainliest i want to move to the next rank
Following are financial statement numbers and ratios for Salsa Incorporated for the year ended December 31, Year 1 (in millions).NOPAT $584.5 NOA $3,5321Net operating profit margin (NOPM) 15.9%Net operating asset turnover (NOAT). 1.04 If we expected revenue growth of 5% in the next year, what would projected revenue be for the year ended December 31, Year 2? Select one: a. None of these are correctb. $3,532.1 million C. $3,492.3 million d. $3,859.9 million e. $3,673.4 million
The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.
How to find Revenue?
The amount of gross income generated by sales of goods or services is referred to as revenue (or sales revenue) in various contexts. Revenue can be calculated simply by multiplying the quantity of sales by the average service price or sales price:
Revenue = Sales x Average Price of Service or Sales Price
To find the projected revenue for the year ended December 31, Year 2, we can use the following formula:
Projected revenue = Current revenue * (1 + Expected revenue growth)
In this case, the current revenue is equal to the NOA, which is $3,532.1 million. The expected revenue growth is 5%, so the projected revenue is:
$3,532.1 million * (1 + 0.05) = $3,673.4 million
Therefore, The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.
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A 34 foot tall poll is supported by 2 wires that are anchored 8 feet from the base of the pole how many feet or wire is needed for the support wires
Using the Pythagorean theorem:
Length of wire = sqrt(34^2 + 8^2)
Length of wire = sqrt(1156 +64)
Length of wire = sqrt(1220)
Length of wire = 34.9285 feet
There are 2 wires:
34.9285 x 2 = 69.857 feet
Round off as needed.
Answer:
34.93 feet
Step-by-step explanation:
Using a^2+b^2=c^2
we can substitute a and b in which is
34^2+8^2=c^2
1156+64=c^2
1220 = c^2
Now we need to square both sides
√1220 = √c^2
34.9284983931 ----> 34.93
34.93 = c
c = 34.93
ANSWER FAST please it would help so much thanks
A student took out two loans totaling $5000. She borrowed the maximum amount she could at 6% and the remainder at 7% interest per year. At the end of the first year, she owed $310 in interest. How much was loaned at each rate?
The loan at 6% was $____
and the loan at 7% was $___
Answer:
Here is how you solve this problem:
Let's call the two loans x and y. We then know that the two loans total 5000 in value:
x + y = 5000
We also know that 4% interest of one (x) plus 6% interest of the other (y) equals 254:
.04 (x) + .06 (y) = 254
We now have a "system of equations." We can now solve the system using substitution. This simply means that we are trying to get a single equation that only uses one variable (so we can solve for that variable). Using the first equation, we can write y in terms of x as follows:
y = 5000 - x
Substituting this value into the second equation, we get:
.04 (x) + .06 (5000 - x) = 254
And now, we simply solve for x:
.04x + 300 - .06x = 254
-.02x = -46
x = $2300
And using the first equation, x + y = 5000, we can find y:
x + y = 5000
2300 + y = 5000
y = $2700
two equations:
x + y = 5000
0.04x +0.06Y = 254
solving:
X= 5000 - Y
Plugging in second equation
(0.04*(5000-Y) + 0.06Y = 25x = 2300
4
200 - 0.04Y + 0.06Y = 254
0.02Y = 54
Y = 54/0.02 = 2700
find the area of Δ ABC
Answer:
The answer would be 30 feet^2.
Step-by-step explanation:
The formula for the area of a triangle is \(\frac{bh}{2}\). The base and height are 15 and 4, turning the equation into \(\frac{15(4)}{2}\). 15 times 4 is equal to 60 and 60 divided by 2 is equal to 30, getting you your answer of 30 feet^2. I hope this helps! :)
A bag contains 5 balls: 3 blue, 1 red, and 1 yellow. You select a ball at random 4 times, replacing the ball after each selection. Calculate the theoretical probability of getting a blue ball exactly 3 times
Answer:
\( P(X=3)\)
And replacing we got:
\(P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756\)
Step-by-step explanation:
Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:
\(X \sim Binom(n=4, p=3/10)\)
The probability is always the same since we replace the ball selected in each trial.
The probability mass function for the Binomial distribution is given as:
\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)
Where (nCx) means combinatory and it's given by this formula:
\(nCx=\frac{n!}{(n-x)! x!}\)
And we want to find this probability:
\( P(X=3)\)
And replacing we got:
\(P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756\)
Write 8% as a fraction or mixed number in simplest form.
Answer:
\(\frac{2}{25}\)
Step-by-step explanation:
All percents can be written as a fraction with their denominator as 100.
So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.
\(\frac{8}{100}\) can be divided by 4 since that is the GCF ( Greatest common factor)
Now, the numerator would be 2 and the denominator would be 25 as shown below ...
\(\frac{2}{25}\)
This is the simplest form of 8% as a fraction
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
The simplest form of the 8% as a fraction is 2 / 25.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.
Fraction = 8 /100
Fraction = ( 4 x 2) / ( 4 x 25)
Fraction = 2 / 25
Thus, the 8% in the fraction is 2 / 25.
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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The triangular faces of the prism shown are equilateral triangles with a perimeter of 48 cm. Each of the other faces is a square. Find the surface area of the prism
Answer:
222.4 cm
Step-by-step explanation:
16cm x 13.9 cm =222.4 cm
hope this helped! :D
What is the probability of randomly selecting a prime number from the first 30 natural numbers?
A. 11/30 ≈ 36.67%
B. 13/30 ≈ 43.33%
C. 1/3 ≈ 33.33%
D. 12/30 = 40%
Answer:
33.33%
Step-by-step explanation:
Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.
So There are 10 prime numbers
Therefore,
P(of randomly selecting a prime number from the first 30 natural numbers)=10/30= 1/3 = 33.33%
Please answer this correctly
Answer:
100%
Step-by-step explanation:
The numbers odd or greater than 1 are 1, 2, 3, 4, 5, and 6.
6 numbers out of 6.
6/6 = 1.
P(odd or greater than 1) = 100%
Answer:
100%
Step-by-step explanation:
So the original fraction is 6/6 because is is odd and 3 and 5 also 2,4,6 are all more than 1.
f
3
+ 22 = 17
- 22 - 22 +
43
f = -5
3
= 3(-5)
f =
Subtract 22 on both sides.
Multiply by 3 on both sides.
On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.
What is BODMAS?
BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.
\(f/3 +22 = 17\)
\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.
Then simplify. The \(+22 and -22= 0\) They "cancel" \(17-22 = -5\)
\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.
If we have to solve f, the next step we to take is to multiply on the both sides by 3.
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is the equation true or false
45 x 18 = (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8) ____
99 x 31 = (100 x 31) - ( 1 x 31) ____
64 x 15 = 32 x 30 ____
Answer:
all are true
Step-by-step explanation:
if that blank spot is where youre supposed to put true or false, then yeah if you mulitply them they equal eachother for every equation
1. Equation is true
2. Equation is true.
3. Equation is true.
1. 45 x 18 = (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8)
To verify this, let's calculate each side of the equation:
Left side: 45 x 18 = 810
Right side: (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8) = 400 + 320 + 50 + 40 = 810
The equation is true: 810 = 810
2. 99 x 31 = (100 x 31) - (1 x 31)
To verify this, let's calculate each side of the equation:
Left side: 99 x 31 = 3069
Right side: (100 x 31) - (1 x 31) = 3100 - 31 = 3069
The equation is true: 3069 = 3069
3. 64 x 15 = 32 x 30
To verify this, let's calculate each side of the equation:
Left side: 64 x 15 = 960
Right side: 32 x 30 = 960
The equation is true: 960 = 960
In all three cases, the equations are true, meaning that the left-hand side of each equation is equal to the right-hand side.
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n a certain city, it was found out that there are 100 residents who are employed
in the office of the city mayor. They are classified as follows:
48 female employees
46 married employees
34 employees with more than 15 years of service
19 married females
18 married with more than 15 years of service
17 female with more than 15 years of service
8 married female with more than 15 years of service
Questions:
1.How many are married female employees with less than 15 years of service?
2.How many are married male with more than 15 years of service?
3.How many are female single employees with more than 15 years of service?
4.How many are married female with more than 15 years of service?
5.How many are male single employees with less than 15 years of service?
Answer:
1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.
2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.
3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.
4. 8 married females because it literally says, "8 married female with more than 15 years of service".
gotta go hope this helps sry