Step-by-step explanation:
[tex] {13}^{ \frac{4}{5} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{(13) {}^{4} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{28561} + 2.6 \\ [/tex]
[tex]7.78 + 2.6 = 10.38 \\ [/tex]
The width of a rectangle measures
(t - 9u) centimeters, and its length
measures (4t - 4u) centimeters. Which
expression represents the perimeter, in
centimeters, of the rectangle?
The perimeter of the rectangle can be expressed as 10t - 26u centimeters.
What is perimeter?Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.
The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters
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The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, [tex]\mu[/tex] = 48 monthsStandard deviation, [tex]\sigma[/tex] = 8 monthsThe z-score is then computed as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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2. The equation x² + px + q = 0, where p and q are constants, has roots -3 and 5.
(i) Find the values of p and q.
(ii) Using these values of p and q, find the value of the constant r for which the equation
x² + px + q + r = 0 has equal roots.
[3]
The result are-
p = -2 and q = -15.constant r = 64.What is defined as the roots of the quadratic equation?The values of x that correspond to the given quadratic equation ax² + bx + c = 0 are known as its roots.
They are, in other words, the values of the variable (x) that satisfy the equation. The roots of such a quadratic function are indeed the x-coordinates of the function's x-intercepts.The discriminant value indicates how often roots f(x) has: - The quadratic function does have two distinct real roots if b² - 4ac > 0. The quadratic function contains a single repeated real root if b² - 4ac = 0. If b² - 4ac = 0, the quadratic function has really no true roots.For, the given expression;
x² + px + q = 0. ....... (equation 1)
where p and q are constants, has roots -3 and 5.
Part 1: solve for p and q.
Put x = -3 in equation 1.
p(-3) = (-3)² + p(-3) + q = 0
9 - 3p + q = 0 .........(equation 2)
Now, put x = 5 in equation 1.
p(5) = (5)² + p(5) + q = 0
25 + 5p + q = 0 ..........(equation 2)
Solve equation 2 and 3 by elimination method.
p = -2 and q = -15.
Part 2: Estimate the constant r.
The equation is; x² + px + q + r = 0.
Substitute the values of p = -2 and q = -15.
x² + (-2)x + (-15) + r = 0.
As, the equation given real equal roots; then,
discriminant value: b² - 4ac = 0.
Substitute the values;
(-2)² - 4×1×(-15 + r) = 0
On simplification;
4 + 60 - r = 0
r = 64.
Therefore, the value of the constant r is estimated as 64.
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HELP ME PLEASEEEE!!!!
Answer:ACF
Step-by-step explanation:
For Exercises 23 and 24, find the value of x and the measure of each interior angle
If the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
Given that the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°.
We are required to find the value of x that are used in the angles of the given octagon.
Octagon is the shape that has eight sides,eight vertices,eight angles. Sum of all the interior angles of octagon is equal to 1080°.
(4x-80)°+ (4x-80)°+(2x+50)°+(2x+50)°+(4x-80)°+(4x-80)°+(2x+50)°+(2x+50)°=1080
24x-120=1080
24x=1080+120
24x=1200
x=1200/24
x=50
Hence if the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
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In a chi-square test, as the value of the χ2 increases, the likelihood of rejecting the null hypothesis ________.
If the chi-square value is going on English the likelihood of rejecting the null hypothesis also increases because there is a chance that the chi-square value increases more than the significant value that is given in the question. So the required answer is that increases as the required answer.
For example, if, according to Mendel's laws, you expected 10 of 20 offspring from a cross to be male and the actual observed number was 8 males, then you might want to know about the "goodness to fit" between the observed and expected.
Were the deviations (differences between observed and expected) the result of chance, or were they due to other factors? How much deviation can occur before you, the investigator must conclude that something other than chance is at work, causing the observed to differ from the expected.
The chi-square test is always testing what scientists call the null hypothesis, which states that there is no significant difference between the expected and observed result.
The formula for calculating chi-square ( 2) is:
2= (o-e)2/e
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Line p has slope of 7/3 line q is pararellel to line p. What is the slope of line q?
The Slope of the line q is 7/3
Given that a line “p” has a slope [tex]\frac{7}{3}[/tex] , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”
Parallel lines:
Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.
The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”
The slope of line “p”=slope of line “q”
Given that the slope of line “P”=[tex]\frac{7}{3}[/tex]
therefore, The slope of the line q is [tex]\frac{7}{3}[/tex]
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Meena and some friends are going to the movies. at the theater, they sell a bag of popcorn for $5.50 and a drink for $3.50. how much would it cost if they bought 5 bags of popcorn and 7 drinks? how much would it cost if they bought p bags of popcorn and d drinks?
It would cost-
$27.50 for the 5 bags of popcorn.$24.50 for the 7 drinks.What is cost?In common parlance, cost is the monetary value of products and services purchased by producers and consumers.
Cost is the measure of a alternative opportunities foregone when one good or activity is chosen over others in a basic economic sense. This fundamental cost is commonly known as opportunity cost.Total cost refers to all expense incurred in achieving a specific level of output; dividing such total cost by the quantity generated yields average or unit cost.Total cost = (fixed cost) x Number of units produced.
The cost of a bag of popcorn for $5.50.
The number of popcorn bags bought are 5.
Total cost for 5 bags of popcorn are-
$5.50 ×5 = $27.50.
Thus, Total cost for 5 bags of popcorn bags are $27.50.
The cost of 1 drink is $3.50.
The total number of drinks bought is 7.
Total cost = $3.50×7 = $24.50
Thus, the total cost for the drinks is $24.50.
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The average price for regular gasoline in Toronto is $1.35 per liter, or L (in Canadian dollars, as of
April 2014).
Part A: The exchange rate between the US and Canada varies continuously. Assume that, in April
2014, the rate was US$ 0.92 for each Canadian dollar. Determine the cost in U.S. dollars (US$) for 1 L
of gasoline in Toronto. Round to the nearest cent.
Hint
$1.35 Canadian = US$
Part B: There are 3.78541 L in 1 gallon (gal). Determine the cost in U.S. dollars (US$) for 1 gal of
gasoline in Toronto. Round to the nearest cent.
Hint
1 gal costs US$
a. $1.35 Canadian dollar will be 124 cents.
b. cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be $5.11.
How to calculate the value?A. It should be noted that the rate was US$ 0.92 for each Canadian dollar.
Therefore, $1.35 Canadian dollar will be:
= 1.35 × 0.92
= $1.24 = 124 cents.
B. The cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be:
= 3.78541 × 1.35
= $5.11
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A square has a vertex at (2,3). Name three other possible vertices of the square.
The three other possible vertices of the square are; (-3, 3), (-3, -2) and (2, -2)
What are the vertices of the square?
We are given the vertex of the square as (2, 3).
Now, it is well known that the sides of a square are equal.
This means that there must be another vertex that will have 3 as its' y-coordinate. Similarly, there will be a different coordinate that will have its' x-coordinate as 2.
Similarly, another 2 points will be reflected over the y-axis to get a negative of the previous two x-values. This also applies to the y-values. Thus, when we combine all these together, we will have the coordinates as; (2, 3), (-3, 3), (-3, -2) and (2, -2)
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15/16 as a decimal rounded to the nearest hundred
Answer:
0.9375 or 0.94
It cannot be rounder to the nearest hundred, but it can be rounded to the nearest hundredth
You also could've just gone and searched 15/16. T-T
The decimal 15/16 is a decimal rounded to the nearest hundred will be 0.9375.
Decimal consists of two parts whole number and a fraction part. They are separated by a term called decimal.
Example = 532.11
we know that 15/16 is a fraction, so we divide 15/16 on dividing it we will get,
[tex]\frac{15}{16}[/tex] = [tex]\frac{9735}{1000}[/tex]
= [tex]0.9375[/tex]
On rounding to the nearest hundred we get 0.9375.
since it is asked for a hundred place not for the hundredth place so value will remain the same.
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45h + 1895 = 5000
What is the value of H
Answer:
69
Step-by-step explanation:
45*69+1895=5000
Answer:
h = 69
Step-by-step explanation:
45h + 1895 = 5000 ( subtract 1895 from both sides )
45h = 3105 ( divide both sides by 45 )
h = 69
A = {-1, 0, 1,...}
What numbers are shown
in set A?
A. Whole numbers
B. Counting numbers
C. Integers
Answer:
C. integers
Step-by-step explanation:
integers are similar to whole numbers : all numbers without any fractional part, but including negative numbers.
whole numbers only include positive numbers (incl. 0) without any fractional part.
natural numbers (I guess, that is the meaning of "counting numbers") are all positive numbers (but without 0) without any fractional part.
so, C is correct, because A contains also -1.
Answer:
B
Step-by-step explanation:
it cat be a whole number because whole number are set of positive number from 0 and above excluding fraction , negative integer or decimal.
integers include both positive and negative numbers excluding fraction and decimal
Doctor smith wants to know how many veterinary students decide to pursue a career as a small animal practitioner. there are 27 veterinary schools in the usa, so he decides to randomly select 10% of the students from each school and asks them where they intend to practice one they finish veterinary school. is this an example of a simple random sample?
Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected.
Simple random sampling can be defined as the process of studying about large population by taking a small subset/sample.
In this method there is equal chance of every member of population to get selected.
According to the question there is equal chance for every student to get selected by Doctor smith.
Therefore , Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected by Doctor smith.
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When analyzing three linear functions, Bill noticed that they all intersect at the point (10,10). What conclusion can Bill come to about the linear function with the largest slope?
a. It has the highest y-intercept.
b. It has the middle y-intercept.
c. It has the lowest y-intercept.
d. Bill cannot conclude anything.
Need help with this problem step by step asap
-27-8v>-7(6v-5)+6
Answer:
Step-by-step explanation:
v > 2
hope this helps :)
Is the function even, odd, or neither? Explain your reasoning.
Answer:
The function is neither odd, nor even
Step-by-step explanation:
It is because an even function is always symmetrical in respect with the y axis
It is because an odd function is always symmetrical in respect with the origin
-5(7x-9)-6=144 what is the answer.
Answer: x= -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
First you must start by multiplying the parentheses by -5. Once you do that, your equation comes out to -35x+45-6=144. Then you must combine like terms which comes out to -35x+39=144. After that you must get x by itself, so to do that subtract 39 from 144 which comes out to 105. Then you must do the opposite of multiplication and divide 105 by -35 which comes out to x=-3. Hope this helps
I don't understand this and I can't go to school I have covid
If f(x) = 2x + 1 and h(x) = 3x - 5, find f(h(2)).
Answer:
f(h(2)) = 3.
Step-by-step explanation:
Replace the x in f(x) by h(2).
h(2) = 3(2) - 5
= 1,
so, f(h2) = 2(1) + 1
= 3.
Write the equation for the horizontal line that contains point G(4, 8).
Oy=8
O x = 8
O x = 4
O y = 4
Answer:
y = 8
Step-by-step explanation:
A horizontal line will have the form y = k where k is a constant and determines the distance from the x axis. All points on this line will have a constant y value for all x values
Since the line passes through (4,8) we have y = 8 as the equation for the line
Lisa works a weekend job for some extra money during school. She works Friday for 5 hours, Saturday for 8 hours and Sunday for 3 hours.
On Friday she makes $55.
On Saturday she makes $88.
On Sunday she makes $33.
How much money does Lisa make per hour at her job?
HOW TO DO???
- First you have to find how much money does she get per hour on each day
- Then add the amounts together
SLOVE
Lisa get: 55 : 5= 11$ per hour on Friday
Lisa get: 88 : 8= 11$ per hour on Saturday
Lisa get: 33 : 3= 11$ per hour on Sunday
At the end Lisa get: 11$ x 3= 33$ per hour at her job
{ I think my English isn't very good either because I'm just intermediate so I hope you understand it.}
Mr. Price deposited $170 in his bank. The number of $5 bills was 3 times the number of
$10 bills, and the number of $1 bills was 30 more than the number of $5 bills. How many
bills of each type did he deposit?
Mr. Price deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that the number of $5 bills was 3 times the number of $10 bills
Let the number of $10 bills would be x
As per the given condition,
$10 = x
$5 = 3x
$1 = 3x+30
Since he deposited $170 in his bank.
So 10x + 5(3x) + 1(3x+30) = 170
⇒ 25x+3x+30=170
⇒ 28x=140
⇒ x = 5
Therefore, $10 for $50
So 3x = 15, $5 for $75
So 3x+30 = 45, $1 for $45
Hence, he deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.
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How many seals would be needed to replace the ? And keep both sides balanced
Answer:
6 zebras
Step-by-step explanation:
6.
Part A: Annotate the expressions.
Expression C
20-(-3)
Expression D
-20-(-3)
Part B: How are the expressions similar?
Part C: Explain the steps you would take in simplifying
Expression D.
Answer:
expression d is your right answer
Point L is on line segment KM. Given KL
length KM.
=
15 and LM = 3, determine the
Step-by-step explanation:
ano po ? pwede e bou nyo yong Tanong
The formula for the area of a circle is shown, where d
is the diameter. A=πd2(exponent is the2) over 4
What is the equation for the diameter d
of a circle in terms of the area A? a: d=4πA. b: d=A4π−−√ c: d=2Aπ−−√. d: d=4π−−√A2
Answer:
Step-by-step explanation:
A bakery sells hot chocolate in small cups and large cups. The prices are shown on the sign.
Hot Chocolate Prices
Small.........
(8 fluid ounces)
Large.......
(12 fluid ounces)
$2.99 each
%
$3.99 each
The bakery sold 64 cups of hot chocolate today. The ratio of small cups to large cups sold today was 5 to 3.
What percentage of money earned from the hot chocolate sales today was from the sale of large cups? Round the ans
whole percentage. Enter the answer in the box.
The percentage of money earned from the sale of hot chocolate is 44%.
How much is earned from the sale of hot chocolate?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Number of large cups bought = (3/8) x 64 = 24
Number of small cups bought = (5/8) x 64 = 40
Total revenue from selling large cups = 24 x 3.99 = $95.76
Total revenue from selling small cups = 40 x 2.99 = $119.60
Total profit = $119.60 + $95.76 = 215.36
Percentage earned from the sale of large cups = (95.76 / 215.36) x 100 = 44%
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In 2008, the centers for disease control and prevention reported the average human life span in the united states as 76.8 years for men and 81.6 years for women. calculate how much longer, on average, u.s. women live than men in seconds.
On average, U.S women live more than men in 151,400,000 seconds.
Average:
Average is the ratio of the total value divided by the number of observation used.
Given,
In 2008, the centers for disease control and prevention reported the average human life span in the united states as 76.8 years for men and 81.6 years for women.
Here we need to calculate how much longer, on average, u.s. women live than men in seconds.
Here we know that,
Average life span for men = 76.8 years
Average life span for women = 81.6 years.
So, the women lived
=> 81.6 - 76.8
=> 4.8 years.
So, the average women lived 4.8 years more than the man.
Now we have to convert it into seconds,
We know that,
1 year = 31,536,000 seconds
So,
=> 4.8 x 31,536,000 seconds
=> 151,400,000 seconds.
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Find the Perimeter of the figure below , composed of a rectangle and a semicircle Round to the nearest tenths place.
The perimeter of the figure is 53.7.
What is perimeter?Perimeter can be defined as the total distance around a object.
To calculate the perimeter of the the figure below, we use the formula below.
Formula:
P = 2l+w+πw/2.......... Equation 1From the diagram,
Given:
l = 14w = 10π = 22Substitute these values into equation 1
P = (2×14)+10+(3.14×10/2)P = 28+10+15.7P = 53.7Hence, the perimeter of the figure is 53.7
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