The ratio of the total number of letters to vowels is 5 : 16.
What is the ratio?
Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained in another value. The sign that is used to represent ratio is :.
Ratio of the total number of letters to vowels - total number of letters : total number of vowels
total number of letters = 16
total number of vowels = 5
Ratio of the total number of letters to vowels - 5 : 16
To learn more about ratios, please check: https://brainly.com/question/25927869
#SPJ1
what is the inverse of (x^2 4)
The inverse function of the given function y = x² + 4 will be y = √(x - 4).
What is the inverse function?Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by swapping x with y and y with x.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
y = x² + 4
The inverse function of the function y = x² + 4 is given as,
Replace x with y and y with x, then we have
x = y² + 4
Solve the equation for y, then the equation is rewritten as,
x = y² + 4
y² = x - 4
y = √(x - 4)
The inverse function of the given function y = x² + 4 will be y = √(x - 4).
More about the inverse function is given below.
https://brainly.com/question/2541698
#SPJ12
Construct the simplest polynomial with integer coefficients with the given roots:
√5,7,-1
What is the value of x?
The value of x for the given expressions is 3.
What is equilateral triangle?Triangles are classified into three different types based on their sides. An isosceles triangle, a scalene triangle, and an equilateral triangle. Equilateral triangles are different from isosceles and scalene triangles.
An equilateral triangle is a triangle with all three equal sides and equal angles. An equilateral triangle is also called an equilateral triangle because each angle has a value of 60 degrees. Equilateral triangles are considered regular polygons or equilateral triangles because they have equal angles and equal sides.
In ∆ ABC
∠A= ∠B=∠C
Triangle is equilateral triangle.
All the triangle side will be equal
6x-3=3x+6=5x
=6x-3 =3x+6
=3x=g
X=3
Thus, X = 3
To know more about equilateral triangle, click-
https://brainly.com/question/10147636
#SPJ1
What is the set of numbers to which √10.24 belong?
√10.24 belongs to the set of rational numbers.
Here we are given the number √10.24.
Now first we see that √10.24
= 3.2
Now as we can see that there is a number other than 0 after the decimal point here. Hence the above number cannot be classified as a natural number, a whole number, or an integer.
However, on converting 3.2 into the fractional form, we see that
3.2 = 32/10
reducing this to smallest form we get
16/5
Here we could easily represent 3.2 in the form of p/q where q is not equal to 0.
Hence p/q is a rational number.
To learn more about Rational Numbers visit
https://brainly.com/question/24398433
#SPJ4
pq²(p² - 3pq - 4q²) answer fast pls
8 baskets have some apples in them, and the same number of apples are in each basket. 6 apples are added to each basket to make a total of 144 apples. What equation can go with this problem?
Answer:
8(x + 6) = 144
Step-by-step explanation:
We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:
? = 144
Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.
Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:
x + 6 = 144
Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:
8(x + 6) = 144
What is 100k in Celsius ?
100k in celsius is -173.15 degrees.
The Celsius scale, commonly known as centigrade, uses a base of 0° for water's freezing point and 100° for water's boiling point. Because of the 100-degree gap between the designated points, the Celsius scale, which was developed in 1742 by the Swedish astronomer Anders Celsius, is occasionally referred to as the centigrade scale.
The Celsius scale is in general use wherever the metric system of units has been adopted, and it is used in scientific work everywhere.
To convert Celsius to kelvin, the formula is:
T(K)=°C+273.15
∴100=°C+273.15
°C=100-273.15 = - 173.15
To know more about celsius visit: brainly.com/question/11524365
#SPJ4
How do you solve 2^x=20?
Answer:
x=4.321928
Here’s your explanation
Let's solve your equation step-by-step.
2^x=20
Solve Exponent.
2^x=20
log(2^x)=log(20) (Take log of both sides)
x*(log(2))=log(20)
x=log(20)
log(2)
Then you get your answer x=4.321928
Step-by-step explanation:
Take the log of both sides:
log2(2^x) = log2(20)
xlog2(2) = log2(20)
x(1) = log2(20)
x = log2(20) ≈ 4.322
15. Find m
X=3
please help due today
Answer:
11x - 2 = 6x + 13 (corresponding angles)
5x = 15
x = 3
How do you use demoivre's theorem to simplify (1+i)^12?
By using demovire's theorem to determine the complex numbers to simplify (1+i)^12 we get [tex]z^{12}=-2^6=-64[/tex]
first, we have to find the argument. As the complex number, z=1+i will be in the 4th quadrant
we proceed according to conditions in demovire's theorem
[tex]r=\sqrt{(1)^2+(1)^2}\\ \\r=\sqrt{2}[/tex]
so from this our angle becomes
[tex]\alpha =2\pi -tan^{-1}=- \frac{\pi }{4}[/tex]
so putting r and alpha in the formula of demovier's of complex numbers
[tex]z^{n}=r^{n}(cos\alpha +isin\alpha )\\\\z^{12}=(\sqrt{2} )^{\112} }(cos\((\frac{-\pi }{4}) +isin(\frac{-\pi }{4}) )\\\\z^{12}=2^6(-1-0)\\\\z^{12}=-2^6=-64[/tex]
we get z to the power 12 equals to negative times sixty-four.
To learn more about demoivre's theorem, click on
brainly.com/question/29757451.
#SPJ4
question 4 you are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. north wales, pa 19454 3 lorenzo price 8621 glendale dr. burlington, ma 01803 4 stella moss 372 w. addison street brandon, fl 33510 5 paul casey 9069 e. brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from north wales, pa, what is the correct function?
For the given data analysis , The correct function is : RIGHT(B3,5), which is the correct syntax.
Here it is related to data cleaning which is the process of removing or fixing data that are incorrect or formatted incorrectly, corrupted, duplicate, or even incomplete data within a dataset that exists. When we mix multiple data sources, it depicts that there can be opportunities for the data to be mislabeled or duplicated, since we are guiven that the customer names and addresses, so the correct syntax will be =RIGHT(B3,5), where the RIGHT Function that returns set number of characters of a text string from the right side
To know more about data analysis refer to the link brainly.com/question/23730998
#SPJ4
a landscaper is designing a flower garden in the shape of a trapezoid he wants the shorter base to be 2 yards greater than the height of the trapezoid h and the longer base to be
The length of the bases of the trapezoid shape yard will be 18 yards and 22 yards.
What is a Trapezoid?A quadrilateral with at least one set of parallel sides is called a trapezoid in American and Canadian English.
In British and other varieties of English, it is termed a trapezium.
In Euclidean geometry, a trapezoid is a convex quadrilateral by definition.
The parallel sides are called the basis of the trapezoid.
So, we have:
The height should be 3 yards higher than the shorter base.
b₁=h+3
The height should be 3 yards higher than the shorter base.
b₂=h+7
Formula for Area of trapezoid = 1/2(b₁+b₂)h
Now, using the formula, calculate as follows:
150=1/2(h+3+h+7)h
150=(2h+10)h/2
150=2h²+10h/2
150=2h²+5h
h²+5h-150=0
h²+15h-10h-150=0
h(h+15)-10(h+15)=0
(h-10)(h+15)=0
h=10 or h-15
h should be positive:
b₁=h+3=15+3=18
b₂=h+7=15+7=22
Therefore, the length of the bases of the trapezoid shape yard will be 18 yards and 22 yards.
Know more about a Trapezoid here:
https://brainly.com/question/1410008
#SPJ4
Complete question:
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be
Solve for x: 3/4(x-13)=-2(9+x)
Answer:
x = -3
Step-by-step explanation:
Welcome to Brainly! :]
3/4(x-13)=-2(9+x)
0.75x - 9.75 = -18 - 2x
2.75x = -8.25
x = -3
:]
A company manufactures model rockets that require igniters to launch. Once an igniter is used to launch a rocket, the igniter cannot be reused. Sometimes an igniter fails to operate correctly, and the rocket does not launch. The company estimates that the overall failure rate, defined as the percent of all igniters that fail to operate correctly, is 15 percent. A company engineer develops a new igniter, called the super igniter, with the intent of lowering the failure rate. test the performance of the super igniters, the engineer uses the following process. Step 1: One super igniter is selected at random and used in a rocket. Step 2: If the rocket launches, another super igniter is selected at random and used in a rocket. Step 2 is repeated until the process stops. The process stops when a super igniter fails to operate correctly or 32 super igniters have successfully launched rockets, whichever comes first. Assume that super igniter failures are independent a. If the failure rate of the super igniters is 15 percent, what is the probability that the first 30 super igniters selected using the testing process successfully launch rockets? b. Given that the first 30 super igniters successfully launch rockets, what is the probability that the first failure occurs on the thirty-first or the thirty-second super igniter tested if the failure rate of the super igniters is 15 percent? C. Given that the first 30 super igniters successfully launch rockets, is it reasonable to believe that the failure rate of the super igniters is less than 15 percent? Explain.
0.0076 is the probability that the first 30 igniters tested do not fail .
What is probability in math?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.
a)if the failure rate for the super igniters is 15% then the probability that each igniter fails is 0.15,and the probability that it does not fail is 0.85.Therefore the probability that the first 30 igniters tested do not fail is (0.85)30= 0.0076.
b)given that there are no failures in the first 30 tries,the probabilities occurs on 31st try is 0.15 and the probability that it does not occur on 31st but occurs on 32nd try is (0.85)(0.15)=0.1275.therefore the probability of one or the other is 0.15+0.1275=0.2775.
c)the result of the probability calculation in part(a) provides reason to believ the failure rate of the super igniters is less than 15%.The calculated proability of 0.0076 shows that there is less than a 1% chance that 30 or more igniters in a row would not fail if the failured rate was 15%.This probability is smaller than conventional significance levels such as alpha=0.05 and 0.01 and thus is small enough to make it reasonable to believe that the failure rate of the super igniters is less than 15%.
Learn more about Probability
brainly.com/question/11234923
#SPJ1
solve this please I need some help
Answer:
x = 85°
Step-by-step explanation:
the angle adjacent to B inside the triangle is corresponding to 70° and are congruent.
the sum of the 3 angles in a triangle is 180° , then
x + 25° + 70° = 180°
x + 95° = 180° ( subtract 95° from both sides )
x = 85°
two dice are thrown. what is the probability that the sum of the numbers appearing on the two dice is 8, if 3 appears on the first?
If 3 appears on the first die, then the sum of the numbers on the two dice can be 8 only if 5 appears on the second die. The probability of rolling a 5 on a single die is 1/6, so the probability of rolling a 3 and a 5 on two dice is 1/6 * 1/6 = 1/36. This means that the probability of rolling a sum of 8 when 3 appears on the first die is 1/36.
Select the correct answer.
Which expression is equivalent to this quotient?
Answer:
[tex]$\frac{5}{8}$[/tex]
Step-by-step explanation:
Every fall, Maya has to rake the leaves in her backyard. She wants to know the area of her backyard knows what space that she has to rake Three of the coordinates on the grid that can be used to represent her backyard are (8.5, 4), (8.5, 8) and (-2, 8). 1. Plot the fourth coordinate of the rectangle. What is the ordered pair?
Answer:
(2,4)
Step-by-step explanation:
Capital Cars rents a compact car for 3
days for $132. How much does it cost
to rent the car for 1 day?
Answer: $44
Step-by-step explanation:
4700 people attended a football game. If 2% of the people who attended were
teenagers, how many teenagers attended the game?
Insert the values given in the problem then scale up or
down to find the missing value.
attendees
percent
100
The number of teenagers in the game are 94.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 4700 people attended a football game.
Here, 2% of the people who attended were teenagers
So, the number of teenagers are
2% of 4700
= 0.02×4700
= 94
Therefore, there are 94 teenagers attended the game.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
A map has a ratio of 1:4000. Find the actual distance, in metres, which is represented by 6.4 cm on the map.
Show working
The scale of a map is the relationship between the distance on the map and the actual distance. In this case, the scale of the map is 1:4000, which means that 1 unit on the map represents 4000 units in the actual distance. To find the actual distance that is represented by 6.4 cm on the map, we need to convert the distance on the map to the same unit as the actual distance. Since 1 cm is equal to 0.01 m, 6.4 cm is equal to 6.4 * 0.01 = 0.064 m.
Now we can use the scale of the map to convert the distance on the map to the actual distance. We can set up the following proportion:
0.064 m / 1 = x / 4000
Where x is the actual distance in metres. Solving for x, we get:
x = 0.064 m * 4000 = 256 m
Therefore, the actual distance represented by 6.4 cm on the map is 256 m.
which graph shows a polynomial function with a positive leading coefficient?
The graph shows a polynomial function with a positive leading coefficient B.
What is meant by polynomial function with a positive leading coefficient?The function will reach its maximum value of + in the case of a positive leading coefficient and its minimum value of - in the case of a negative leading coefficient. This indicates that even degree polynomials with positive leading coefficients have a range of [ymin, ∞), where ymin stands for the global minimum that the function reaches.
When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial.
Leading coefficients are the values listed before the variable with the biggest exponent. They can be positive, negative, real, imaginary, whole, fractional, or decimal, much like conventional coefficients, and they can also be positive, negative, real, or imaginary.
Therefore, the correct answer is option B.
To learn more about polynomial function refer to:
https://brainly.com/question/2833285
#SPJ4
. finding numbers the sum of two nonnegative numbers is 20. find the numbers if (a) the sum of their squares is as large as possible; as small as possible. (b) one number plus the square root of the other is as large as possible; as small as possible.
When the sum of their squares is as largest as possible the numbers are 0 and 20, when the sum of their squares is as small as possible, the numbers are 10 and 10
Sum of the two numbers = 20
First we have to find the sum of their squares is as large as possible
Consider the first number as x and second number as y
To get the largest values the value of x or the value of y should be zero
Then the two numbers are 0 and 20
To get the small as possible
x^2 + (20-x)^2 = x^2 + x^2 - 20x +400
= 2x^2 -20x + 400
= 2(x^2 - 10x + 100)
The one number will be 10 and the other number will be 10
Therefore, to get the largest value the numbers will be 0 and 20 and to get the smallest value the numbers will be 10 and 10
Learn more about square here
brainly.com/question/28610159
#SPJ4
Shana bought sodas and
popcorn for the movies. Sodas cost $3 each and popcorn costs S4 per bag.
bought 7 things from the concession. all either sodas or bags of popcorn.
Shana
Shana spent a total
system of equations involving the number of sodas, s, and the bags of popcorn,
of $26. Write 8
how many of each Shana bought.
b. Solve the system to see
Shana bought 5 bags of popcorn and 2 bottles of soda.
What is an equation?
An equation is consist of two expressions. At least one of the expression contain a variable.
Given that, the cost unit bottle of soda is $3.
The cost of unit bag popcorn is $4.
Assume that she bought s number of soda bottle and p number of bags of popcorn.
Then the cost of s number of soda bottle is $3s.
The cost of p number of bags of popcorn $4p.
She spent $26 in total.
Therefore
3s + 4p = 26.....(i)
She bought 7 things from the shop.
Therefore,
s + p =7 .....(ii)
Solve equation (i) and (ii) by using elimination method:
Multiply equation (ii) by 3 and subtract it from (i)
3s + 4p = 26.
3s + 3p =21
(-) (-) (-)
_________
p = 5
Putting p = 5 in equation (ii)
s + 5 = 7
s = 2
To learn more about elimination method, click on below link:
https://brainly.com/question/26227916
#SPJ1
I NEED HELP!!!!!!!!!!!!
Step-by-step explanation:
the surface area is the combination of
the base (square) area
the 4 side (triangle) areas.
the base area is : 10×10 = 100 in²
the area of a triangle is
baseline × height / 2
we know the baseline of each of the 4 triangles (10 in) and we know the height (14 in).
one triangle area is
10×14/2 = 70 in²
we have 4 of these triangles (each side of the pyramid) :
4×70 = 280 in²
the total surface area of the pyramid is
100 + 280 = 380 in²
How do you write 0.85 as a percent?
Answer: 85%
Step-by-step explanation:
Since percentages are numbers/ratios expressed as a fraction of 100, 85/100 becomes 85%
Which of the following iS benefit to using The random sample allows for different treatments to be assigned: causal relationship can be determined_ The results of the observational study can be generalized to the population. A random sample is the easiest method of data collection. The distribution of the sample will match the distribution of the population
The advantage of employing a random sample is (C) that the population can be generalized from the findings of the observational study.
What is a random sample?In statistics, a simple random sample is a subset of persons taken from a larger set in which a subset of individuals is chosen randomly, all with the same probability.
It is a method of choosing a sample at random.
The outcomes of the observational study can be generalized to the population.
To construct a simple random sample, there are six steps: (a) defining the population; (b) picking your sample size; (c) listing the population; (d) assigning numbers to the units; (e) discovering random numbers, and (f) selecting your sample.
Therefore, the advantage of employing a random sample is (C) that the population can be generalized from the findings of the observational study.
Know more about a random sample here:
https://brainly.com/question/24466382
#SPJ4
Correct question:
Which of the following is a benefit to using a random sample for an observational study?
a. The random sample allows for different treatments to be assigned.
b. A causal relationship can be determined.
c. The results of the observational study can be generalized to the population.
d. A random sample is the easiest method of data collection.
e. The distribution of the sample will match the distribution of the population.
Which of the following quadrilaterals has four right angles and 4 congruent sides? A. parallelogram B. rectangle C. rhombus D. square
Answer:Square
Step-by-step explanation:
A square is a quadrilateral with four right angles and four congruent sides. All squares are rectangles and rhombuses.
Answer:
D. square
Step-by-step explanation:
As an explanation, I have attached a picture of the 4 quadrilaterals and their internal angles and sides.
⭐if this response helped you, please mark it the "brainliest"!⭐
jacob, a researcher, asks the participants of his study to transfer data from 12 spreadsheets to 12 different documents. he observes that the participants gain more efficiency in transferring the data with each new spreadsheet. this scenario exemplifies a(n)
The scenario exemplifies a(n) that effect is practice effect
In experiments utilising within-subjects designs, the practise effect is especially problematic since participants' performance on the study variable may increase just by engaging in the activity again, independent of any study manipulations the researcher may have imposed.
When a test is retaken, the practise effects have an impact on the results. A practise effect, for instance, can result from taking numerous practise SAT exams; practise can raise your overall score.
Counter balancing is one strategy for limiting the effects of practise. It is possible that the trials will use randomization or will use every feasible order for administering treatments to subjects.
According to the question,
Jacob observes that the participants gain more efficiency in transferring the data with each new spreadsheet. this scenario exemplifies a(n) that this is Practice effect
To know more about Practice effect here
https://brainly.com/question/28616617
#SPJ4
Elizabeth works for the lawn care company and earns $15 per day plus $35 for every lawn mows. Let x be the amount of lawns she mows and y be the total money she made for the day. Write the linear equation that models her total pay for the day.
Using the information provided, how many money would she make if she mows eight lawns today?
The linear function represents the total cost is y = 15 + 35x and the money made by 8 lawns will be $295.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
For x number of lawn mows,
Total earning y = 15 + 35x
For x = 8
y = 15 + 35 x 8 = 295
Hence "The linear function represents the total cost is y = 15 + 35x and the money made by 8 lawns will be $295".
For more about the linear function,
brainly.com/question/21107621
#SPJ1
