Answer:
D- x^2
Step-by-step explanation:
Just did the practice edge. 2021
For a given function, y is inversely proportional to x.
Option A is correct.
What is function?A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.
A function is a special type of relation where every input has a unique output.
A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.
Given function
y = [tex]\frac{1}{x^{2} }[/tex]
If x = 1, y = [tex]\frac{1}{1^{2} }[/tex] = 1
If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25
If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111
If x is changing, y is also changing.
x is in denominator.
So, it means inversely proportional.
Y is inversely proportional to x.
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Select yes or no for each expression to determine whether it is or can be written as a monomial!
Answer:
1. yes
2. no
3. yes
4. yes
5. no
Step-by-step explanation:
help lol don’t understand smart teacher math awesome simple lol geometry brainlyesy
Answer:
1. square, 28cm^2
2. triangle, 60ft^2
3. trapezoid, 21ft^2
4. pentagon, 30cm^2
Step-by-step explanation:
Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.
Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.
Answer:
Step-by-step explanation:
this is called "monotonically decreasing" as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero, the number gets smaller and smaller.... it approaches zero is what happens.
A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be small.
ii. The p-value will not be small.
Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
[tex]H_{a}: p \neq 0.2[/tex]
Five choices for each question, one of which is correct.
Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Answer:
0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL
This means that [tex]\mu = 30.8, \sigma = 4.371[/tex]
What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?
This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.
X = 39.73
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.73 - 30.8}{4.371}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a pvalue of 0.9793
X = 36.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36.84 - 30.8}{4.371}[/tex]
[tex]Z = 1.38[/tex]
[tex]Z = 1.38[/tex] has a pvalue of 0.9162
0.9793 - 0.9162 = 0.0631
0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
A food truck at the fair had 24 pies to sell. Each pie was cut into pieces and each piece was cut into 1/8 of a pie. How many pieces of pie did the food truck have to sell?
Answer:
192
Step-by-step explanation:
100
100
Students, drow anywhere on this slide!
Answer:
Im sorry what?
Step-by-step explanation:
Solve the equation for the value of x,
-4x=36
Please show your work, thank you.
Answer:
x = -9
Step-by-step explanation:
First,Add 4 to both sides
-4x-4+4=36-4+4
Then,simplify
-4x=36
divide both sides by -4
-4x/-4 = 36/-4
Lastly simplify it to get your answer!
What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?
Answer:
Take whatever amount of miles Sammy and Tanya drive and add them
Step-by-step explanation:
I don't have many numbers to work with so my equations are:
14 x (1 day of driving miles amount) = a
A x 2 = your answer
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
what is the lateral of a cone with 10 yd and 12.1 yd
Answer:
190.07 yd²
Step-by-step explanation:
Given that :
Base of cone = 10 yards
Height of cone = 12.1 yards
The lateral area of a cone is obtained using the relation :
π × r * l
Where r = Radius = base / 2
l = height of cone
Radius, r = 10/ 2 = 5 yards
Lateral area = π * 5 * 12.1
Lateral area = 190. 0666
Lateral area = 190.07 yd²
Can you help me please?
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Evelyn to end up with $6,200?
Answer:
Quarterly interest rate= 0.8974%
Step-by-step explanation:
Giving the following formula:
Initial investment (PV)= $3,500
Future Value (FV)= $6,200
Number of periods (n)= 16*4= 64 quarters
It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:
Function: CMPD
n= 64
I%= SOLVE= 0.8974
PV= 3,500
FV= -6,200
Quarterly interest rate= 0.8974%
Answer:
3.6%
Step-by-step explanation:
Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).
Answer:
x = 6, x = -4
Step-by-step explanation:
Find the area of the figure
Answer:
145.1327
Step-by-step explanation:
Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).
Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])
8 * 15 = 120
Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve
[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]
[tex]=\frac{(pi)(4)^2}{2}[/tex]
[tex]=\frac{(pi)16}{2}[/tex]
[tex]=8(pi)[/tex]
~25.1327
Now add up the two values,
120 + 25.1327
= 145.1327
Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1
×2
5
4
.
Write the answer as a reduced fraction.
Use slash \left(/\right)(/) to separate numerator and denominator.
Answer:
Answer:
bro gave me a virus
Step-by-step explanation:
dont click the link
The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?
Answer:
a. x = roses
y= lavender
b. x + y=36
c. 25x + 5y = 480
d. 19 rose bushes and 1 lavender bush
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. Match each description on the left with a term on the right. Note - any given term on the right may be used more than once or not at all.
a. Response variable
b. Explanatory variable
c. Subjects of investigation
1. Infants whose brains are temporarily deprived of oxygen [Choose ]
2. Usual care or whole-body cooling ET [Choose]
3. Survival without brain damage [Choose]
Answer:
Infants whose brains are temporarily deprived of oxygen - Subject of investigation
Usual care or whole-body cooling ET - Explanatory variable
Survival without brain damage - Response variable
Step-by-step explanation:
The subject of investigation are the set of participants who are used in a research study. Based on the scenario described above, 208 infants whose brains were temporarily deprived of oxygen as a result of complications at birth were researched. And these sentence gives us the subject of investigation.
The Explanatory variable can also be called the independent variable which are the variables which causes changes behavior or output produced by the response variable. The usual care and whole body cooling are the two independent temperature options subjects are assigned subjected to.
The response variable also called the predicted variable gives the outcome or effect of the the Explanatory variable on the subject of investigation.
87+25
[tex]12 + 10 [/tex]
Answer:
Seriously?
U don't know the answer
Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent.
Which is a possible next step?
-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
Answer:
From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].
Step-by-step explanation:
Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].
Check the pic please
I also want the steps pleaseee
Answer:
E) 5.4m
Step-by-step explanation:
ratio of triangle FGH : triangle JKL => 2.1 : 1.4
perimeter of triangle FGH = x
2.1 : 1.4 = x : 3.6
=> 1.4x = 2.1 × 3.6
=> x = 2.1 × 3.6 ÷ 1.4 = 5.4
What is the length of missing side X? Options are on photo
Help ASAP
Answer:
it should be 5 because its a rectangle
Answer:
x = 5cm
Step-by-step explanation:
Remember opposite sides of a rectangle are congruent
The opposite side of side "x" is equal to 5 cm therefore x = 5 cm
Important note! : The triangle does not change the side length as it is formed using it.
What is the positive solution to the equation 2x2 + 3x = 2?
Answer:
x(2x+3)
Step-by-step explanation:
Answer:
X= -2
2. x = 1/2 = 0.500
Step-by-step explanation:
Determine the solution
Answer:
:/
Step-by-step explanation:
:/
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
4x+1
Step-by-step explanation:
Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.
so you add: (3x-1) and (x+2)
combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1
what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
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