Answers
Answer:
19
Step-by-step explanation:
\(\frac{17b - a^{2} }{2}\)
Substitute the "a" and "b"
a = 8
b = 6
\(\frac{17 * 6 - 8^{2} }{2}\)
\(\frac{17 * 6 - 64}{2}\)
\(\frac{102 - 64}{2}\)
\(\frac{38}{2}\)
\(19\)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Related Questions
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
Answers
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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What is B^2+8b+7??
Can someone explain it step by step please?
Answers
Step-by-step explanation:
B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).
To factor a quadratic expression, you can use the following steps:
1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).
2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.
In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:
(b+7)(b+1)
This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).
Here is a step-by-step explanation of how to factor B^2+8b+7:
1. The coefficient of the middle term is 8.
2. The constant term is 7.
3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.
4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).
To solve it, you can use the quadratic formula, which is:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 8, and c = 7.
So, substituting the values, we get:
x = (-8 ± √(8^2 - 4(1)(7))) / 2(1)
x = (-8 ± √(64 - 28)) / 2
x = (-8 ± √36) / 2
x = (-8 ± 6) / 2
x = -1 or -7
Therefore, B^2+8b+7 is equal to -1 or -7.
What is the quotient of 9-x2/
3x
and
x2 +6x+9/
3x?
Answers
44 rem
Im sorry if its wrong
One triangle has angles that measure 30° and 77º. A second triangle has angles that measure 30° and 83º. Are the triangles similar? Explain.
Answers
Answer:
no, because the angle measurements would have to be the same
Step-by-step explanation:
Triangle A: 30, 77, 73
Triangle B: 30, 83, 67
Find two square numbers that total 45
Answers
x^2+^2=45
if ×=3 and y=6
then 9+36=45
Evaluate y/5+1 x / 6 when x = 6 and y = 5
Answers
Step-by-step explanation:
Just follow PEMDAS and u get the answer. (Parentheses, Exponents, Multiplication, and Division (from left to right), Addition and Subtraction (from left to right).)
A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost,
in dollars, for renting each kind of boat for x number of hours.
Cost of a rowboat rental: 8.50x +3
Cost of a motorboat rental: 17.50x +25
Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours?
*8x +22
*9x + 22
*9x + 28
*26x + 28
Answers
Answer:
B. 9x + 22Step-by-step explanation:
You need to find the difference:
17.50x + 25 - (8.50x + 3) =17.50x - 8.50x + 25 - 3 =9x + 22Correct one is B
Answer:
B. 9X+22
Step-by-step explanation:
Nothing
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Need help solving for relative frequency please!
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Relative frequency = frequency / total frequency
Total frequency = 389+335+975+351+72 = 2122
Response ________ Frequency __ R/ frequency
Never ____________ 389 _ 389/2122 = 0.180
Rarely ____________ 335 _ 335/2122 = 0.158
Sometimes _________975 _975/2122 = 0.459
Most of the time _____ 351 _ 351/2122 = 0.165
Always ____________ 72 __ 72/2122 = 0.034
A mother is 33 years older than her twin children. In 3 years her age will be twice the combined ages of the twins. How old are the twins now?
Answers
9514 1404 393
Answer:
30
Step-by-step explanation:
Let m represent the mother's age in 3 years. At that point in time, her age is twice a twin's age, which is m-33:
m = 2(m -33)
m = 2m -66 . . . . eliminate parentheses
66 = m . . . . . . . . add 66-m
In 3 years, the mother's age will be 66. Each twin is now 36 years younger.
The twins are 30 years old now.
A worker earning an hourly wage changes positions within a company. The new position comes with a 20% raise in hourly wage. The
worker also receives a $2 increase in hourly wage. Use composition of functions to write a function that represents the worker's new
hourly wage when the 20% raise is applied before the $2 raise.
f(x) =
Answers
This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.
What is function?A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.
Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.
by the question.
let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:
\(f(x) = (1.20x) + 2\)
In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.
We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:
\(g(x) = 1.20x\)
\(h(x) = x + 2\)
Using function composition, we can write the function for the worker's new hourly wage as:
\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)
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please help im stressing :((((
(what is Danielle mistake in this problem )
Answers
Answer:
Daniel's Mistake was that she didnt add all the sides
Step-by-step explanation:
She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.
Using these sides the answer should look like this,
set up your problem
1) (6x-4)*2 + (12x+3)*2 + (14x+13)
multiply your 2's in
2) (12x-8) + (24x+6) + (14x+13)
simplify
3) 50x + 11 is your answer
Daniel's mistake was that she didn't add all the sides. The correct perimeter is 50x + 11.
What is the perimeter?The perimeter of the shape is defined as the sum of all the sides. Here in the image, the perimeter will be the sum of all the sides of the triangle and rectangle.
She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.
The perimeter will be calculated as below:-
P = Sum of the sides of the triangle + Sum of the sides of the rectangle
P = (6x-4)*2 + (12x+3)*2 + (14x+13)
P = (12x-8) + (24x+6) + (14x+13)
P =50x + 11
Therefore, Daniel's mistake was that she didn't add all the sides. The correct perimeter is 50x + 11.
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There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?
Answers
Answer:
6/11
Step-by-step explanation:
probability
6+5=11
so 6/11
Answer:
6/11
Explanation :
Having 5 blues and 6 reds , total number of balls are 11.
Probability = Number of wanted outcomes / Total Possible Outcomes
= 6/11
VOILA!
Determine whether the following events are mutually exclusive.
Choosing a student who is a mathematics major or a finance major from a nearby university to participate in a research study. (Assume that each student only has one major.)
Answers
Answer:
Yes they are mutually exclusive
Step-by-step explanation:
Yes, both of the events are mutually exclusive because each student has only one major and therefore can't select both Maths and finance majors at the same time.
Thus, they are mutually exclusive of each other.
2. The diagram above shows a wooden structure in the form of a cone mounted on hemispherical base. The vertical height of the cone is 24cm and the base 7cm. Calculate correct to 3 significant figures the surface area of the structure. (Take π= 22/7)
Answers
The surface area of the wooden structure is approximately 1012 cm².
To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.
Surface Area of the Cone:
The surface area of a cone is given by the formula:
A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.
The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:
\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)
Using the given measurements:
\(s_{cone\) = √(7² + 24²) cm
\(s_{cone\) ≈ √(49 + 576) cm
\(s_{cone\) ≈ √625 cm
\(s_{cone\) ≈ 25 cm
Now, we can calculate the surface area of the cone:
\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)
\(A_{cone\) = (22/7) × 7 cm × 32 cm
\(A_{cone\) = 704 cm²
Surface Area of the Hemispherical Base:
The surface area of a hemisphere is given by the formula:
\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.
Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:
\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²
\(A_{hemisphere\) = (22/7) × 2 × 49 cm²
\(A_{hemisphere\) = 308 cm²
Total Surface Area:
To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:
Total Surface Area = \(A_{cone} + A_{hemisphere}\)
Total Surface Area = 704 cm² + 308 cm²
Total Surface Area = 1012 cm²
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what is the formula of a square
Answers
Answer:
a=s2
Step-by-step explanation:
s is the length of the side of the square.
A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent
Answers
The required rate of simple interest is 1.75%.
Here, we have,
(Principal + Interest) is a straightforward interest equation.
A = P(1 + rt)
Where: A is the sum of the accrued principal and interest.
Principal Amount is P.
I is the interest rate.
r is the annual percentage rate of interest, or R/100.
R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.
Since I = Prt,
the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,
which may be represented as A = P(1 + rt).
Given: Principal is $1,300
Rate is 7% and the amount earned that is A-P is $159.25.
A = P(1 + rt)
Therefore substituting the values in the above mentioned equation, we get:
159.25= 1300(1+r×7)
On solving we get,
r= 1.75%
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complete question:
At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.
What rate of simple interest is offered at the
Blue Bank?
A tennis ball can in the shape of a right circular cylinder holds three tennis balls snugly. If the radius of a tennis ball is
3.5 cm, what percentage of the can is not occupied by tennis balls?
The percentage of the can that is not occupied by tennis balls is______%.
(Type an integer, fraction, or mixed number.)
Answers
The percentage of the can that is not occupied by tennis balls is approximately 80.14%.
We have,
The volume of the can = The volume of the cylinder - The volume of the three tennis balls.
The volume of the cylinder.
V(cylinder) = πr²h
where r is the radius and h is the height of the cylinder.
Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.
= 3 × 2(3.5 cm)
= 21 cm.
V(cylinder)
= π (3.5 cm)² (21 cm)
= 2709.38 cm³
The volume of one tennis ball.
V (ball) = (4/3)πr³
where r is the radius of the tennis ball. Thus,
V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³
The total volume of the three tennis balls is:
V(3balls) = 3 V(ball)
= 3(4/3) π (3.5 cm)³
= 538.782 cm³
The volume of the can not be occupied by tennis balls.
V(not occupied) = V(cylinder) - V(3 balls)
= 2709.38 - 538.782
= 2170.598 cm³
The percentage of the can that is not occupied by tennis balls.
percentage = (V(not occupied / V(cylinder)) × 100%
= (2170.598 cm^3/2709.38 cm^3) × 100%
= 80.14%
Therefore,
The percentage of the can that is not occupied by tennis balls is approximately 80.14%.
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In the figure below, I ll m. Find x,
Answers
Answer:
180 - 120 = 60
x + 65 + 60 = 180
x + 125 = 180
x = 55
Step-by-step explanation:
hope this helps
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Giselle paid an accountant 25$ per hour to do her taxes plus a 100$ one-time fee. Her total bill was $250. How many hours did the accountant work?
Answers
anyone please help me.
Answers
Answer:
Option E
Step-by-step explanation:
It is given in the question that both the triangles are similar.
By the property of similarity of two figures,
Corresponding sides of the similar figures are proportional.
\(\frac{x}{25}=\frac{24}{15}= \frac{48}{30}\)
\(\frac{x}{25}=\frac{24}{15}\)
x = \(\frac{24\times 25}{15}\)
x = 40
Therefore, measure of the missing sides is 490 units.
Option E will be the answer.
4. If a distribution of quantitative data with mean 10 and standard deviation 2 is converted to z-scores, the new distribution would have mean _____and standard deviation_____
Answers
Answer:
If a distribution of quantitative data with mean 10 and standard deviation 2 is converted to z-scores, the new distribution would have mean __0___and standard deviation__1__
Step-by-step explanation:
The mean of the z scores will be 0, and the standard deviation of the z scores will be 1.
What is Normal Distribution?The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation.
When the data is converted to z-scores the mean and standard deviation no longer stay the same. Both these quantities are transformed into new values.
Values converted to z scores follow a standard Normal curve. This curve is symmetric about the mean. The mean of standard normal curve is 0 with a standard deviation of 1.
Hence, mean of the z scores will be 0, and the standard deviation of the z scores will be 1.
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Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
Answers
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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how can you find the area and perimeter?
Answers
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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The spinner has 8 congruent sections. What is the probability of
spinning a number divisible by 3 two times in a row?
Answers
Answer:
1/16 or 0.0625
Step-by-step explanation:
There are two numbers on the chart that are divisible by 3.
So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.
The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.
To get: 1/16
The table below shows information about the distance walked by some hikers.
a) Work out the minimum number of hikers who could have walked between 6 miles and 17 miles.
b) Work out the maximum number of hikers who could have walked between 6 miles and 17 miles.
PLS HELP
Answers
a) the minimum number of hikers who could have walked between 6 miles and 17 miles is 9 as it lies in the common interval of 10 ≤ x ≤ 15.
b) the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.
What is meant by minimum and maximum value?
When the derivative equals 0, rearrange the function using elementary algebraic principles to find the value for x. The x-coordinate of the function's vertex, which is where the maximum or lowest will occur, is provided in this answer. the solution back into the original function to determine the minimum or maximum.
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The two tables below show the amount of tip, y, included on a bill charging x dollars.
A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
Answers
9514 1404 393
Answer:
(b) The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Step-by-step explanation:
The slope of the relation for Restaurant A is ...
y/x = 1/10
The slope of the relation for Restaurant B is ...
y/x = 5/25 = 1/5 = 2×1/10
The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.
A linear function has a y-intercept of -9 and a slope of 4/3 . What is the equation of the line
Answers
Answer:
\(y=\frac{4}{3} x-9\)
Step-by-step explanation:
Here this is in standard form. Hope this helps!
Answer:
y=4/3x-9
Step-by-step explanation:
equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables
Shen bought a desk on sale for $218.40. This price was 72% less than the original price. What was the original price?
Answers
Answer:
780
Step-by-step explanation:
In this example we will call Original Price = y
72%=0.72
218.40=0.72*y
1-0.72=0.28
218.4÷0.28=780