The length of AC is 17.3 cm
What is rectangle?We also refer to a rectangle as an equiangular quadrilateral since all of its angles are equal.A closed 4-sided shape is called a quadrilateral.A rectangle can also be referred to as a right-angled parallelogram because its sides are parallel.A quadrilateral with equal and parallel opposite sides is referred to as a parallelogram.Paralleograms are a specific instance of rectangles.acc to our question,
AC is the perpendicularAB is the base and θ = 68°So,tan 68° = or, AC = tan 68°×AB 17.3 (approx)Hence,The length of AC is 17.3 cm
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the length of time for one individual to get to a construction site is a random variable having an exponential distribution with a mean of 4 minutes. what is the probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days?
The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.
Given,
Mean = 4 minutes
= 1/4
= 0.25
The probability that someone will be attended to in less than three minutes on any given day is:
P( X ≤3)
= 1- e⁻⁰²⁵⁽³⁾
= 0.5267
The probability is:
P( X ≥ 4)
= P( X = 4) +P( X = 5 ) + ( X = 6)
= 0.2594 + 0.1159 + 0.216
= 0.3969
The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.
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how long does it take lena to compress the accordion completely and then stretch it back out to a length of 50\text{ cm}50 cm50, start text, space, c, m, end text?
It takes Lena to compress the accordion completely and then stretch it back out to a length of 50cm.
It takes Lena 4.1 seconds to compress the accordion completely and then stretch it back out to a length of 50cm.
I am assuming the function without a T: [tex]A(t) = 25_{cos}(t)+65[/tex]
The function is graphed in the figure attached, and the blue line is [tex]y = 50cm[/tex].
From the graph we see that the accordion is completely stretched (has minimum length) at [tex]t = \pi[/tex] seconds, and stretches back to 50cm at [tex]t = 4.069s[/tex]; therefore, it takes Lena 4.069 seconds to stretch the accordion back again, which to the nearest tenth of a second is 4.1s.
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Answer: 1.3s
Step-by-step explanation:
If you're solving for [tex]A(t)=25cos( \pi t)+65\\[/tex]
a professor wants to study the effectiveness of a new study tool for a course. there are 150150150 students registered for the course. the professor assigns each student a number from 111 to 150150150 and uses a random number generator to assign the first 757575 students selected to use the new study tool. the remaining 757575 subjects are assigned to use the previous study tool. what type of experiment design is this?
This is a "completely randomized" type of experiment design.
In terms of data analysis as well as accessibility, and simplicity a randomized design is perhaps most likely the shortest experimental study.
The investigator expects that sometimes extraneous influences would affect treatment conditions similarly in general, so that any substantial improvements across conditions may be allocated appropriately towards the individual entity.
Thus the above approach is right.
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if f(x) = 2x - 4 find f(k+1)
Answer: [tex]f(k+1)=2k-2[/tex]
Step-by-step explanation:
Substituting [tex]k+1[/tex] for [tex]x[/tex],
[tex]f(k+1)=2(k+1)-4\\\\f(k+1)=2k+2-4\\\\f(k+1)=2k-2[/tex]
simplify the following
2²y + 3x² + 4y + 3x²y + 2y
Answer:
10y+3x^2+3x^2y
Step-by-step explanation:
^2 means square
2^2 is 4 and different variable cannot be added.
Write the equation of the line parallel to the x-axis passing through
the point (2,5).
Answer:
y=5 .................
Fleur is making 8 identical thank-you cards for her teachers. each card requires 2.5 sheets of yellow paper and some red paper. she uses a total of 30 sheets of paper. a. write an equation that can be used to determine the number of red sheets, r, required for each card. __
The required equation to determine the number of red sheets, r, required for each card is 8r + 20 = 30.
Let the required number of red paper be r. For one card, the 2.5 sheets of yellow paper are required. So, for 8 thank-you cards, the yellow papers required will be = 8×2.5
Number of yellow papers = 20
Total number of sheets required = Number of yellow sheets for 8 cards + Number of red sheets for 8 cards
Keep the values in formula to form the equation
30 = 20 + 8r
8r = 10
r = 10/8
r = 1.25
So, the equation for calculation of number of red papers for each card is 1.25.
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find the roots of each expression with rational exponents.
1.27⅓
2.225½
3.49³/²
(please show solution
you can write in on paper)
simplify each expression
For the given expressions the roots with rational exponents are as follow:
a. 27¹/³ = 3
b. 225 ¹/² = 15
c. 49 ³/² = 243
As given in the question,
For the given expressions the roots with rational exponents are as follow:
Solution of each expression is given by:
a. 27¹/³
Prime factors of 27 is equal to 3 × 3 × 3
27¹/³
= ( 3 × 3 × 3 )¹/³
= ( 3³ )¹/³
= 3
b. 225 ¹/²
Prime factors of 225 is equal to 3 × 3× 5× 5
225 ¹/²
= ( 3× 3× 5× 5)¹/²
= ( 15²)¹/²
= 15
c. 49 ³/²
Prime factors of 49 is equal to 7 × 7
49 ³/²
= ( 7 × 7) ³/²
= (7²) ³/²
= 7³
= 343
Therefore, for the given expressions the roots with rational exponents are as follow:
a. 27¹/³ = 3
b. 225 ¹/² = 15
c. 49 ³/² = 243
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HELP!
I will name you the BRAINLIEST!
The thing is in the photo.
I do not understand it because it looks like it has "!" Please help.
The expression 11! / 9!(11-9)! evaluates to 55
How to evaluate numbers with the factorial sign?The symbol ! is called factorial in mathematics.
Factorial can be defined as the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Thus, factorial five is written as 5! meaning 5×4×3×2×1
It can also be written in shortened form as 5×4! or 5×4×3!
Let's evaluate 11! / 9!(11-9)! now:
11! / 9!(11-9)! = 11! / 9!(2)!
= 11×10×9! / 9!2!
= 11×10/ 2 (Note: 2! = 2×1 =2 )
= 110/2
= 55
Note: We shortened 11! to 11×10×9! because we want the 9! to cancel out each other. This is usually done to ease the evaluation. Also, note that 0! = 1
Therefore, the result of the evaluation of the expression 11! / 9!(11-9)! is 55
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its easy but im lazy please helppppp
y=1/58x
because in 3 hours its 174 miles.
let y=miles
x=time
so 174y=3x
divide by 3 on both sides
58y=x
isolate y by dividing by 58 on both sides
therefore you get the answer
The dimensions of two rectangular prisms are shown below. How much more volume does the larger prism have than the smaller prism?
Answer:16/25 :D
Step-by-step explanation:does that help :3
Convert 42°C into °F
Answer: 107.6
(42c x 9/5) +32
The owner of a small store buys coats for $40.00 each. Answer parts a and b. a. She sells the coats for $72.00 each. What percent of the purchase price is the sale price? The sale price is 180% of the purchase price. b. The owner increases the sale price by the same percent that you found in part a when she buys jackets for $25 and sells them. How many jackets must the owner buy for the total jacket sales to be at least $260? Explain your answer. The owner must buy how many jackets?
The percent of the purchase price that the sales price is 80%.
The number of jackets that should sold so that total sales can be at least $260 is 6.
What is the percent of sales price and the number of jackets to be sold?The equation that can be used to determine the percent of the purchase price the sales price is:
Percent = (sale price / purchase price) - 1
($72 / $40) - 1 = 0.80 = 80%
The sales price of the $25 jackets if prices are increased by 80%
Sales price = (1 + percent) x purchase price
(1 + 0.8) x $25
1.8 x $25 = $45
The number of jackets to sell so that total jacket sales can be at least $260 is:
(sales price per jacket x number of jackets) ≥ $260
($45 x j) ≥ $260
$45j ≥ $260
j ≥ $260 / $45
j ≥ 5.8 ≈ 6
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Screams Halloween Theme Park
reduced their admission rates by 10% this
year to try and increase their attendance. If
last year’s admission price was $35 per
person, what is this year’s admission price?
Answer:
$32.50
Step-by-step explanation:
10% of 35$ is $3.50 if ur decreasing $35 by 10% it will be $3.50-$35=$32.50
PleASE HELP I WILL MARK BRANLY ITS ALGEBRA PROBLEM!!!
Hi, your answer will be 2.6 tons. Hope it helps.
Answer:
2.6 tons can be lifted by a rope with a diameter of 2 inches.
Step-by-step explanation:
2 = √39 / π
hope this helps you
what is 56/60 as a percentage
Answer:
93.33%
Step-by-step explanation:
56/60 as a percentage:
56/60 = 0.93333
0.93333 as a percent:
0.93333 * 100 = 93.33%
The value of solution for a number 56/60 into a percentage is,
⇒ 93.33%
We have to given that,
To change a number 56/60 into a percentage.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Hence, We can write as,
⇒ 56/60 × 100%
⇒ 5600/60
⇒ 93.33%
Therefore, The value of solution for a number 56/60 into a percentage is,
⇒ 93.33%
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Given the function:
y = 3x^2 − 10
What can replace y?
What is the range if the domain value is 3?
f(x) can be used to replace y and the range at the domain of 3 is 17
How to determine what can replace y?From the question, the equation is given as
y = 3x² - 10
The above means that y is a function of x
This means that we can replace y with f(x) which means "a function of x"
The range at the domain valueHere, we have
Domain value = 3
This means that
x = 3
So, we have
y = 3(3)² - 10
Evaluate
y = 17
Hence, the range is 17
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What is the value of negative 7 divided by 5?
Answer:
-7/5 or -1.4
Step-by-step explanation:
question 4: a school group went to a carnival on a field trip. the function c(x) represents the amount of money spent in dollars, where x is the number of students. does a possible solution of (29.5, $212.50) make sense for this function? explain your answer.
Step-by-step explanation:
only limited sense.
first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.
therefore, 29.5 students for a single field trip calculation does not make sense.
but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.
1 Which of the following equations are
true? Select all that apply.
A 7+(-7) = 14
B -4+9=5
C 3-(-10) = -7
D -2-6=-8
Equations B and D are true.
Find the missing side of this right
triangle.
X
18
14
X =
✓[?]
Enter the number that belongs in the green box.
Answer:
128
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]14^2+x^2=18^2 \\ \\ 196+x^2=324 \\ \\ x^2=128 \\ \\ x=\sqrt{128}[/tex]
a fast-food restaurant offers 6 different burgers, 5 different side orders, 8 different flavor drinks, and 9 different flavors of ice cream. in how many ways can a combo containing 2 burgers, 2 different sides, 3 different flavor drinks, and 3 ice cream flavors be made? a) 36 b) 705,600 c) 404,040 d) 165 e) 2,160 f) none of the above.
Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.Where:n – the total number of elements in a setk – the number of selected objects (the order of the objects is not important)! – factorialacc to our question-
A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 9 different flavors of ice cream .choose 2 burgers from 6 different burger = choose 3 different sides from 6 different side orders = choose 2 flavor drinks from 7 different flavor drinks = choose 3 ice cream from 9 different flavors of ice cream = Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made=15*21*20*84529,200hence,Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
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What is the value of 5/x + 1.25x when x=10
A marathon is 26.2 miles long. There is a water station every 1 31/100 miles along the race route. Which expression represents the total number of water stations?
The expression that represents the total number of water stations is 26.2 ÷ 1.31
What is an expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
It's important to note as an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this case, the marathon is 26.2 miles long and there is a water station every 1 31/100 miles along the race route. The expression will be:
= 26.2 ÷ 1 31/100
= 26.2 ÷ 1.31
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ce
4. Six foot tall pine trees were planted during the
school's observation of Earth Awareness Week in
1990. The trees have grown at an average rate of
3/4 foot per year. How tall would they be in 2010?
The height of the trees in the year 2010, given their average rate of growth will be 21 foot
How to find the height of the trees?The trees are said to grow at a rate of 3/4 foot per year. In decimals this is:
= 3 / 4
= 0.75
The number of years between 1990 and 2010 is:
= 2010 - 1990
= 20 years
The height of the trees in 2010 would be:
= Current height x ( Rate of growth x number of years)
= 6 x (0.75 x 20)
= 21 foot
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1. 3x^2-7=31
2. 2x^2+18=0
3. 4x^2-26=-50
4. 2x^2+36=x^2
The quadratic equations are solved and answered below -
What is a equation?An equation is a mathematical statement showing the equivalence of two mathematical expressions. Example -
3x + 5 = 8
Given is -
3x² - 7 = 31
2x² + 18 = 0
4x² - 26 = - 50
2x² + 36 = x²
We have -
3x² - 7 = 31
3x² = 38
x² = 38/3
x² = 12.67
x = ±3.56
2x² + 18 = 0
2x² = - 18
x² = -9
x = ±3i
4x² - 26 = - 50
4x² = - 24
x² = -6
x = ±√6i
2x² + 36 = x²
x² = - 36
x = ±√6 i
Therefore, the quadratic equations are solved above.
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please help
2/5÷2 3/4
2/5÷2 3/4
0.4 / 2.75
= 0.14545...
Colin buys a car for £45500. It depreciates at a rate of 6% per year. How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Answer:
The answer is 33,710 euros.
Step-by-step explanation:
Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.
In a recipe, for every tablepoon of ugar there are four teapoon of alt. If a batch ue four tablepoon of ugar, how many teapoon of alt doe it ue?
tablepoon of ugar
teapoon of alt 1 4 4
There will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
Given, In a recipe, for every tablespoons of sugar there are four teaspoons of salt.
If a batch use four tablespoons of sugar then we have to find the number of tablespoons of salt needed.
as, 1 sugar = 4 salt
4 sugar = 4×4 salt
4 sugar = 16 salt
So, the number of tablespoons of salt needed is 16 for the use of 4 tablespoons of sugar.
Hence, there will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
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If m/AGD = 72°, then what is m/DGB?
177²
37. C
A
E
D
H
a
10
5
G/1
3/2
F
B
4
Please provide an explanation.
Answer:
m∠DGB = 108°
Step-by-step explanation:
Linear pair:If the non-common arms of two adjacent angles form a straight line, then the adjacent angles are called linear pair and they add up to 180°.
m∠AGD + m∠DGB = 180° {Linear pair}
72 + m∠DGB = 180
m∠DGB = 180 - 72
m∠DGB = 108°