Answer:
a: $49
b: $91
Explaination:
a: 35% of 140 = 49
b: 140 - 49 = 91
You're welcome! <3
The amount of discount is $49 and the sale price of the dress is $91 and this can be determined by using the unitary method.
Given :
Elise bought a dress that was discounted 35% off of the original price of $140.
a) The unitary method can be used in order to determine the amount of discount. If the original price is $140 then the discounted price is given by:
\(=\dfrac{35}{100}\times 140\)
Simplify the above expression.
= $49
b) The unitary method can be used in order to determine the sale price of the dress. If the original price is $140 then the selling price is given by:
\(=\dfrac{65}{100}\times 140\)
Simplify the above expression.
= $91
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Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD 8
Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8
Step-by-step explanation: It is simple math-
In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.
a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.
this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.
the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.
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Use the number line shown below. What is the location of Z between X and Y such that the length of ZY is 3 times the length of XZ.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
X = -5
Y = 4
Answer:
z is -2
Step-by-step explanation:
x = -5 y = 4
<----------------------------------------->
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Z is between x and y but is 3 times the lenght of x&z
so jumb from -5 to -3 thats one, however jumb from -2 to 0 that is 1, and form 0 to 2 that is 2, and from 2 to 4 that is 3.
To remain healthy, a person needs at least 8 hours of sleep. A company wants to know if their employees get enough sleep. A random sample of 24 employees revealed that the average number of hours of sleep an employee gets is 6.7 with standard deviation of 2.3. What should be the test statistic?
Answer:
how many hours a week the employees are working?
Step-by-step explanation:
I could be wrong but that's my fault if it's wrong sorry
how many times bigger is b than c
Which answer shows 1. The mean of the distribution of x ii. The standard deviation of the distribution of ii. The mean of the distribution of iv. The standard deviation of the distribution of o A. i. Wz= np 24 P(-2) 2 iv. ww(1-P) O B. iM = 10 ii. 9 = (1-2) iii. -pl Dil iv. = n O C. 1.5 - (1-2) ivo, a PC 22 O D. i. Px= iii. 6 = 0(1-P) iv. Op O E. i./ ii.d = P() 2 iv. 8 = Jn
The mean of the distribution of \(\bar{x}\) and \(\bar{p}\) are \(\mu_{\bar{x}}=\mu\) and \(\mu_{\bar{p}}=p\). The standard deviation of the distribution of \(\bar{x}\) and \(\bar{p}\) are \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\) and \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\). So a suitable option is option D.
A distribution is the collection of all potential values for terms that reflect specified events in statistics. It is possible to calculate the expected value or mean of a statistical distribution by integrating the product of the variable's probability and the distribution's definition of that probability. This is represented by the symbol μ.
The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean and a higher standard deviation shows that the data are more dispersed. This is represented by the symbol σ.
Here, the expected value for \(\bar{x}\) is written as \(\mu_{\bar{x}}=\mu\) , and the standard deviation for \(\bar{x}\) is written as \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\). Similarly, the expected value for \(\bar{p}\) is written as \(\mu_{\bar{p}}=p\), and the standard deviation for \(\bar{p}\) is written as \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\). Therefore, the correct option for this will be D.
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The complete question is -
Which answer shows
i. The mean of the distribution of \(\bar{x}\).
ii. The standard deviation of the distribution of \(\bar{x}\).
iii. The mean of the distribution of \(\bar{p}\).
iv. The standard deviation of the distribution of \(\bar{p}\).
A.
i. \(\mu_{\bar{x}}=np\)
ii. \(\sigma_{\bar{x}}=\sqrt{\frac{p(1-p)}{n}}\)
iii. \(\mu_{\hat{p}}=np\)
iv. \(\sqrt{np(1-p)}\)
B.
i. \(\mu_{\hat{p}}=np\)
ii. \(\sigma_{\bar{x}}=\sqrt{np(1-p)}\)
iii. \(\mu_{\hat{p}}=\sqrt{np(1-p)}\)
iv. \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\)
C.
i. \(\mu_{\bar{x}}=p\)
ii. \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)
iii. \(\mu_{\hat{p}}=\bar{x}\)
iv. \(\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}\)
D.
i. \(\mu_{\bar{x}}=\mu\)
ii. \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)
iii. \(\mu_{\bar{p}}=p\)
iv. \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\)
E.
i. \(\mu_{\bar{x}}=\mu\)
ii. \(\sigma_{\bar{x}}=\sqrt{\frac{p(1-p)}{n}}\)
iii. \(\mu_{\bar{p}}=p\)
iv. \(\sigma_{\hat{p}}=\frac{\sigma}{\sqrt{n}}\)
equation in point slope from of slope of 0.25 and point of (5,-2)
The equation is correct and the point (5,-2) is on the line.
The point slope equation of a line with slope 0.25 and a point (5,-2) would be y-(-2) = 0.25(x-5). This equation can be rearranged to y = 0.25x - 1.5.
Calculation:
y = 0.25x - 1.5
Plugging in x = 5
y = 0.25(5) - 1.5
y = -2
The point (5,-2) is on the line.
The point slope equation of a line with slope 0.25 and a point (5,-2) can be written as y-(-2) = 0.25(x-5) which can further be rearranged to y = 0.25x - 1.5. This equation can be further tested by plugging in the x value of the point (5) into the equation and the y value of the point (-2) should be obtained. This proves that the equation is correct and the point (5,-2) is on the line.
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find the area of the figure
Answer:
\(A=190\ cm^2\)
Step-by-step explanation:
The attached figure shows a parallelogram.
Base, \(b=15\dfrac{1}{5}\ yd=\dfrac{76}{5}\ yd\)
Height, \(h=12\dfrac{1}{2}\ yd=\dfrac{25}{2}\ yd\)
We need to find the area of the figure. The area of a parallelogram is given by :
\(A=b\times h\\\\A=\dfrac{76}{5}\times \dfrac{25}{2}\\\\A=190\ cm^2\)
So, the area of the figure is \(190\ cm^2\).
Juan can walk to school, a distance of 0.75 mile, in 8 minutes. Assuming he walks at a constant rate, write the linear equation that represents the situation.
helpppp
8 - 8x = 3(.2 - x) what does x represent
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
2) 4(5 + 4a) – 41-2a - 2) + 2
Answer:
Let's simplify step-by-step.
4(5+4a)−41−2a−2)+2
Distribute:
=(4)(5)+(4)(4a)+−41+−2a+−2+2
=20+16a+−41+−2a+−2+2
Combine Like Terms:
=20+16a+−41+−2a+−2+2
=(16a+−2a)+(20+−41+−2+2)
=14a+−21
Answer:
=14a−21
The mass is 500
grams and the
volume is 40 cubic
centimeters
The mass is 125
grams and the
volume is v cubic
centimeters
The volume is 1.4
cubic centimeters
and the density is 80
grams per cubic
centimeter (et m
equal mass in
grams)
The mass is m
grams and the
volume is v cubic
centimeters.
Equation
The density of an object can be found by taking its mass
and dividing by its volume.
Write an equation to represent the relationship between
the three quantities (density, mass, and volume) in each
situation.
Let the density, D, be measured in grams/cubic
centimeters (or g/cm3).
The term "density" refers to the amount of volume (or physical space) occupied by an object or substance in relation to the amount of matter contained therein (its mass).
What is density ?
The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.
The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density. An object has a high density if it is both heavy and small.
By dividing the mass of an object by its volume, one may determine its density.
This means that if density is D, mass is M, and volume is V.
a)
M = 500 gms
40 cubic cm V
$D=$500/40
$D=12.5$
b)
M = 125 gms
= 1.4 cubic cm
$D = $ 125/1.4
$D=89.28$
D =89.28 gm per cc.
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The term "density" refers to the amount of volume (or physical space) occupied by an object or substance in relation to the amount of matter contained therein (its mass).
What is density ?The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.
The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density. An object has a high density if it is both heavy and small.
By dividing the mass of an object by its volume, one may determine its density.
This means that if density is D, mass is M, and volume is V.
a)
M = 500 gms
40 cubic cm V
$D=$500/40
$D=12.5$
b)
M = 125 gms
= 1.4 cubic cm
$D = $ 125/1.4
$D=89.28$
D =89.28 gm per cc.
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U=A_0+A_1ln( √x ^{2}+y^{2} ) Find dU/dx
The derivative of U with respect to x is A1 x/(x²+y²).
In order to find the value of dU/dx, we need to differentiate U with respect to x.
As A0 and A1 are constants, they will remain the same after differentiation.
Therefore, dU/dx = d/dx (A1 ln (√x²+y²))
Here, we will use the chain rule.
So, the derivative of ln(√x²+y²) is (1/√x²+y²) d/dx (√x²+y²).
Applying chain rule, d/dx (√x²+y²) = (1/2) (x²+y²)^(-1/2) .
2x = x/(√x²+y²)
Therefore, dU/dx
= d/dx (A1 ln (√x²+y²))
= A1 (1/√x²+y²) d/dx (√x²+y²)
= A1 (1/√x²+y²) . (x/(√x²+y²))
= A1 x/(x²+y²)
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what values of x are roots of the equation 2x-3=-5x^2
Answer:
x = -1\(x = \frac{3}{5}\)I hope this helps!
We refer to the previous example. How many degrees of freedom we have Question 7 1 pts We refer to the previous example. a−0.05 Compute the chi-square value we need to compute the upper bound of the interval. The value will be either χ
0.975
2
⋅χ
0.95
2
⋅χ
0.925
2
(Determine the value of one of them depending on our case)
In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).
In the given question, we need to compute the chi-square value to determine the upper bound of the interval. The chi-square value depends on the degrees of freedom (df). To calculate it, we need to know the significance level (α) and the number of categories (k).
Since the question does not provide information about the number of categories, we cannot determine the exact degrees of freedom. However, we can assume that the number of categories is given, and proceed accordingly.
Assuming k is the number of categories, the degrees of freedom (df) will be (k-1).
For example, if there are 5 categories, the degrees of freedom will be (5-1) = 4.
The chi-square value is computed using a chi-square distribution table or a calculator. By using the significance level (α) and the degrees of freedom (df), we can determine the critical value.
In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).
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Kelly buys 3 video games that cost $18.96 each. She also buys 2 pairs of earbuds that cost $11.50 each. She has a coupon for $2 off the price of each video game. Kelly us a calculator, as shown, to find that the total cost of the items is $77.85. The cashier tells her that the total cost is $73.85. Who is correct? Justify your argument.
Answer:
The cashier is correct.
Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.
Note that the coupon is $2 off the price of each video game
Explanation:
Let run through the sum of the goods Kelly bought;
3 video games that cost $18.95 each;
\(3\times$18.95$=\text{ \$56.85}\)2 pairs of earbuds that cost $11.50 each;
\(2\times11.50=\text{ \$23}\)Total is;
\(\text{ \$56.85}+\text{ \$23}=\text{ \$79.85}\)Given that She has a coupon for $2 off the price of each video game.
For the 3 video games, the coupon is;
\(3\times\text{ \$2}=\text{ \$6}\)The total cost will then be the total price of goods minus the coupon;
\(\begin{gathered} C=\text{ \$79.85}-\text{ \$6} \\ C=\text{ \$73.85} \end{gathered}\)Therefore, the cashier is correct.
Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.
Note that the coupon is $2 off the price of each video game
The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
if you roll a regular 6-sided die once, what are the odds of rolling either a 3 or a 6? select the correct answer below: 2:5 1:6 1:2 2:3
if you roll a regular 6-sided die once then the odds of rolling either a 3 or a 6 is 2:5, option a is correct.
When rolling a regular 6-sided die once, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6.
Out of these six outcomes, two of them (3 and 6) meet the condition of interest.
Therefore, the probability of rolling either a 3 or a 6 is 2 out of 6, which can be simplified to 1 out of 3 or 1:3.
the odds of rolling either a 3 or a 6 is 2:5 because we can take 3 or 6 as one outcome.
So the possible outcomes are 5.
The odds of rolling either a 3 or a 6 is 2:5.
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Find the equivalent equation that results from, halving both sides first and then subtracting
1 from both sides. Show each step. You do not have to solve the equation at the end,
Answer:
6x - 1 = 9
Step-by-step explanation:
1. first you have to divide every term in the equation by 2
12x/2 + 4/2 = 20/2
2. simplify
6x + 2 = 10
3. next you have to subtract one from both sides
6x + (2-1) = (10-2)
4. simplify
6x + 1 = 9
Answer this easy geometry question
Answer:
1684.8 cubic units
Step-by-step explanation:
In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.
h + 7² = 13²
h²= 169 - 49
h² = 120
h = √120
h = 10.95 units
radius = r = 7 units
\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)
= 3.14 * 7 * 7 * 10.95
= 1684.8 cubic units
Deposit $500, earns interest of 5% in first year, and has $552.3 end year 2. what is it in year 2?
The initial deposit is $500 and it earns interest of 5% in the first year. Let us calculate the interest in the first year.
Interest in first year = (5/100) × $500= $25After the first year, the amount in the account is:$500 + $25 = $525In year two, the amount earns 5% interest on $525. Let us calculate the interest in year two.Interest in year two = (5/100) × $525= $26.25
The total amount at the end of year two is the initial deposit plus interest earned in both years:$500 + $25 + $26.25 = $551.25This is very close to the given answer of $552.3, so it could be a rounding issue. Therefore, the answer is $551.25 (approximately $552.3).
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Dr. Gibson, a marine biologist, is studying shark attacks on the coast of Monroe County. Two recent attacks took place at beaches separated by 8 inches on a map of the coastline. What is the actual distance between the two beaches if the scale of the map is 2 inches = 1 mile?
Answer:
4 miles
Step-by-step explanation:
\(\frac{2}{1}\) = \(\frac{8}{x}\) Cross multiply and solve for 8
2x = 8 Divide both sides by 2
x = 4
Helping in the name of Jesus.
Which system models this situation? y = 26x and y = 8,400(x-500)2 15,900 y = 26x and y = -0.030(x-500)2 15,900 y = x/26 and y = -0.030(x-500)2 15,900 y = x/26 and y =8,400(x-500)2 15,900
The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.
According to the statement
we have given that Vertex
(h,k) = (500, 15900)
And One of the points on the graph
(x,y) = (0,8400)
FIRST PART: we have to find the quadratic function
We can find the quadratic function by parabola's equation formula
y = a (x - h)² + k -(1)
Input the numbers to the formula, to find the value of a
y = a (x - h)² + k
8400 = a(0 - 500)² + 15900
8400 = a (500)² + 15900
8400 = 250000a + 15900
-250000a = 15900 - 8400
-250000a = 7500
a = 7500/-250000
a = 0.03
Now,
Submit a to the formula (1)
y = a (x - h)² + k
y = 0.03 (x - 500)² + 15900
this is the quadratic equation.
SECOND PART: Find the linear function
the total cost = cost each helmet × the number of helmet
y = 26x
So,
The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.
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Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)
x= number of helmets
y = amount in dollars
Which system models this situation?
a) y = 26x and y = 8,400(x-500)2+15,900
b) y = 26x and y = -0.030(x-500)2+15,900
c) y = x/26 and y = -0.030(x-500)2+15,900
d) y = x/26 and y =8,400(x-500)2+15,900
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Answer:
B. y = 26x and y = -0.030(x-500)2+15,900
Step-by-step explanation:
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction \(\frac{\sqrt {2}}{1}\)
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction \(\frac{\sqrt {2}}{1}\) is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
Sales: (InThousands) represents the number sales (in $1000) made in the specified week of December (Week).
MarketSize: represents the size of the customer base (small, medium, or large market).
Age: Store represents the age of the store in years.
Promotion: Type represents which promotion the store ran (Promotion 1, 2, or 3. They ran three different promotions for a new product to see which one is more effective.).
Week: Numberrepresents the week in which the promotion ran (Week 1, 2, 3, 4 - captured sales of new product over four weeks)
Required:
a. What are the categorical qualitative variables from the ones listed above?
b. What are the numerical (quantitative) variables from the ones listed above?
c. Write the level of measurement (nominal, ordinal, interval or ratio) for each variable
Market Size: Qualitative data, Nominal scale. Promotion: Qualitative data, Nominal scale. Week: Qualitative data, Ordinal scale.
a) The categorical qualitative variables from the ones listed above are as follows :Market Size.
This variable represents the size of the customer base (small, medium, or large market).Promotion: Type represents which promotion the store ran (Promotion 1, 2, or 3. They ran three different promotions for a new product to see which one is more effective.).
b) The numerical (quantitative) variables from the ones listed above are as follows: Sales: (In Thousands) represents the number sales (in $1000) made in the specified week of December (Week).Age: Store represents the age of the store in years. Week: Number represents the week in which the promotion ran (Week 1, 2, 3, 4 - captured sales of new product over four weeks) c) Level of measurement for each variable is given as follows :Sales: Quantitative data, Ratio scale.Age: Quantitative data, Ratio scale.
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compute, using integration, the area of a circle of radius r centered at the origin by considering this as the area of a region bounded by two curves.
The area of the circle of radius r centered at the origin is π\(a^{2}\)
Since the circle is symmetrical in relation to the x and y axes, we can calculate the area of a quarter of a circle and multiply it by 4 to get the entire circle's area.
The equation y y = + mn [a 2 - x 2] must be solved.
Y = [a 2 - x 2] = a [1 - x 2 / a 2] is the equation for the upper semicircle (y positive).
Using integrals, we can calculate the area of the circle's top right quarter as shown below.
(1 / 4) Circle's area is equal to 0a a [1 - x 2 / a 2]. dx
Let's replace x/a with sin t to make sin t equal to x/a, dx equal to a cos t dt, and the area is given by
The formula for area of a circle is (1 / 4) Area of circle = 0/2 a 2 (1 - sin2 t) cos t dt
Now that t can range from 0 to /2, we utilize the trigonometric identity [1 - sin2 t] = cos t, which equals (1 / 4) Circle area equals 0/2 a 2 cos2 t dt.
To linearize the integrand, use the trigonometric equation cos2 t = (cos 2t + 1) / 2;
(1 / 4) Circle's area is equal to 0/2 a (cos 2t + 1) / 2 dt.
the integral (1 / 4) be evaluated. Circle's area is equal to (1/2) a2 [(1/2) sin 2t + t]. 0π/2\s= (1/4) π a 2
The circle's entire area is calculated by multiplying by 4.
Area of a circle is equal to 4 * (1/4) a 2 a 2. additional references on integrals and calculus applications.
Area of circle = 4 * (1/4) π a 2 = π a 2 More references on integrals and their applications in calculus.
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Can someone help me solve this
Graph.
PT=8
TQ=3 RT=6
if this is graph
pls help part 1 Evaluate: \(-5^{2}\)
A. -25
B. 25
C. -10
D. 10
About how many cells are in the human body?
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
please explain
I think its 30 trillion cells
hope it helps
a dj is preparing a playlist of songs. how many different ways can the dj arrange the first songs on the playlist?
To determine the number of different ways the DJ can arrange the first songs on the playlist, we need to know the total number of songs available and how many songs the DJ plans to include in the playlist.
Let's assume the DJ has a total of N songs and wants to include M songs in the playlist. In this case, the number of different ways the DJ can arrange the first songs on the playlist can be calculated using the concept of permutations.
The formula for calculating permutations is:
P(n, r) = n! / (n - r)!
Where n is the total number of items, and r is the number of items to be selected.
In this scenario, we want to select M songs from N available songs, so the formula becomes:
P(N, M) = N! / (N - M)!
Learn more about permutations here: https://brainly.com/question/29990226
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