A multiple-choice test consists of 8 questions.
Each question has 2 possible answers.
How many different ways are there to mark the answers?
Each answer is either right or wrong which means 2 ways
Since there are total 8 questions and each question can be answered in 2 ways
\(8\times2=16\)Therefore, there are 16 ways to mark the answers.
Solve the triangle MNO (find m<O and the lengths of sides m and n).
The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan,(tetha) = opp/adj
angle O = 180-(90+34)
= 180- 124
= 56°
To find m,
Tan 34 = m/12
m = Tan34 × 12
m = 8.1 in
using Pythagoras theorem to find n,
n= √8.1²+12²
n = √65.61+144
n = √209.61
= 14.5 in
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Out of the 25 students in Mrs. Green's class, 15 have a pet. What percent of the students in Mrs. Green's class have a pet?
A flower bed has the shape of a rectangle 6yards long and4 yards wide. What is its area in square feet?
Be sure to include the correct unit in your answer.
Answer:
24 sq yds
Explanation:
9 sq ft per sq yd
24*9=216 sq ft
Write an equation to represent each function. Input (x) Output (y) 1 2 6 12 3 18 24 5 30
One possible equation that represents the function is:
y = 2x, which can also be written as y = 2 * x.
Here's how the function values correspond to the equation:
When x = 1, y = 2 * 1 = 2
When x = 2, y = 2 * 2 = 4
When x = 3, y = 2 * 3 = 6
When x = 5, y = 2 * 5 = 10
And so on.
Note that there are other equations that could also represent the same function, but y = 2x is one possible option.
Answer:
is there a picture I can see
y5 • y14 =
A. 2y19
B. y60
C. y19
D. 2y60
ALGEBRA
Which tables shows a proportional relationship between X and Y.
Answer:
the secound option :)
f(x) = 2x² + 9x
Find f(10)
Answer:
f(10) = 290
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x² + 9x
f(10) is x = 10
Step 2: Evaluate
Substitute: f(10) = 2(10)² + 9(10)Exponents: f(10) = 2(100) + 9(10)Multiply: f(10) = 200 + 90Add: f(10) = 290The city is building a rectangular parking lot. The city wants the width of the parking lot to be 8 yards. The area of the parking lot must be at most 80 square yards. (These are city regulations.) Write an Inequality that describes the possible lengths (in yards) of the parking lot.
Use l for the Length of the rectangular parking lot.
Answer:The area of the parking lot is length * width. If the width of the parking lot is 8 yards, the area of the parking lot can be represented by the inequality:
Area <= 80
length * 8 <= 80
To get the possible lengths of the parking lot we need to divide both sides by 8:
length <= 10
Therefore, the inequality that describes the possible lengths of the parking lot (in yards) is:
length <= 10 yards
The possible lengths of the parking lot is any value less than or equal to 10 yards.
Step-by-step explanation:
PLEASE HELPE ME FAST
Answer:
S would now only be 3 units from R instead of 6 units from R. Move S three units to the left.
Step-by-step explanation:
Is the range a subset or a proper subset of the codomain?
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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Ava runs 1/3 of a mile in 4 minutes. How
long would it take to run 1 mile?
Answer:
12 minutes
Step-by-step explanation:
It took her 4 minutes to run 1/3 of a mile so multiply 3 by 4 because 3/3 is a mile so multiply 3 by 5 and you get 12 minutes
Answer:
It will probably be 12 mins.
Step-by-step explanation:
You need 3/3 which is one mile. So you would need to multiply the full mile which is 3 by 4 which is how long it will take for each mile. So, 3x4=12. So it will take ava 12 minutes to run 1 mile.
Use the model below to calculate 9÷1/3.
A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.
A.
9/3
B.
3/9
C.
13 1/2
D.
27
Using thie model ,The answer is D. 27.
To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.
Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.
We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:
9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
How do u do this 40-17% ?
Answer:
17% of 40 is 6.8
Step-by-step explanation:
17% of 40 is 6.8
Hope this helps, if it did would you mind marking me the brianliest and peace and love!!!!!!!!!!!!!
I need help with this question:
Simplify
The simplified form of the given expression as a fraction is 7x/x-7
Simplification of fractionsFractions are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.
Given the expression below;
(1/7+1/x)/(1/49+1/x²)
Find the LCM to have:
(x+7/7x)/(x²-49)/49x²
Divide to have:
x+7/7x * 49x²/(x²-49)
(x+7) * 7x/(x+7)(x-7)
Cancel out the like terms to have:
1 * 7x/x-7
= 7x/x-7
Hence the simplified form of the given expression as a fraction is 7x/x-7
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I need help with this question.
A bag contains 30 lottery balls numbered 1-30. A ball is selected, replaced, then another is drawn. Find each probability.
1. p(even, then odd)
2. p(7 and then a number greater than 16)
3. p(a multiple of 5 and then a prime number)
4. p(two even numbers)
Answer:
17÷3 ok so it was just a compliment sometime soon
4.) A pharmacist has to fill a prescription calling for 5 ounces of a 12% argyrol solution. She has 5 ounces of a 15% solution and 5 ounces of a 5% solution. If she starts with the 5 ounces of 15%, how much must she draw off and replace with 5% in order to fill the prescription?
What is the correct answer
Answer:
technology.please mark me as brainliest
Answer:
looks like it's education
HELP ME ILL FRIEND U OR WHATEVER ANYTHING JUST HELP
Answer:
91.5 ft
Step-by-step explanation:
AS = BH AS= area of square
AS = (14) (6)
AS = 84
7ft + 4ft = 11ft
14ft - 11ft = 3ft
base of the triangles = 3ft
AT = BH/2 AT = area of triangle
AT = (3)(5)/2
AT = 7.5
TA = 84 + 7.5 TA = total area
TA = 91.5
Answer:
Area is 91.5ft squared
Step-by-step explanation:
6 * 14 = 84
The rectangle is 84ft.
7 + 4 = 11
14 - 11 = 3
5 * 3 = 15
15 / 2 = 7.5
84 + 7.5 = 91.5
Area is 91.5ft squared
hey steph
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6 cos θ, y = 6 sin θ θ = π/4
find:
dy/dx=
d^2y/dx^2 =
slope
concavity:
The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.
Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4
We have to determine the value of dy/dx.
We can define dy/dx as;
dy/dx = (dy/dθ)/(dx/dθ)
We first define dy/dθ and dx/dθ.
x = 6cosθ y = 6sinθ
dx/dθ = -6sinθ dy/dθ = 6cosθ
Now put the value
dy/dx = 6cosθ/(-6sinθ)
dy/dx = -cotθ
Now we have to determine the value of d²y/dx².
d²y/dx² = d/dx(dy/dx)
We can write it as
d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)
We first determine the value of d/dθ(dy/dx)
d/dθ(dy/dx) = d/dθ(-cotθ)
d/dθ(dy/dx) = cosec²θ
Now put the value
d²y/dx² = cosec²θ/(-6sinθ)
d²y/dx² = -6cosec³θ
Now we have to determine the slope.
Slope = dy/dx
Slope = -cotθ
Now we have to determine the concavity.
Concavity = d²y/dx²
Concavity = -6cosec³θ
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Penelope is driving to college. She looks at a map to find out how far she has to drive. On the map, Penelope measures the distance to be 7.5 inches. If the map scale is 1.5 in. = 40 mi, how many miles does Penelope need to drive?
Please Help!!
Answer: 200 miles
Step-by-step explanation:
If f(x) and f-1(x) are inverse functions of each other and F(x) = 2x + 5, what is f-1 (8)?
Answer:
3/2
Step-by-step explanation:
Find the inverse function of f(x) = 2x + 5:
1. Replace "f(x)" with "y:" y = 2x + 5
2. Interchange x and y: x = 2y + 5
3. Solve for y: 2y = x - 5, or y = (x - 5)/2
Then f^(-1)(8) = (8 - 5)/2, or 3/2
express 110111 base two to base ten
Answer:
zh
Step-by-step explanation:
A dairy farm's cows produce 60 gallons of milk in 2 hours. The farm owner wants production to be at least 3 quart
per minute. Based on the farmer's wishes, what step should take place, and why?
O None, because the cows already produce 3 quarts per minute.
O None, because the cows produce more than the farmer wishes, at 6 quarts per minute.
The farmer needs to increase production, since the current rate is 2.5 quarts per minute.
O The farmer needs to increase production, since the current rate is 1 quart per minute.
O The farmer needs to increase production, since the current rate is 2 quarts per minute.
Answer:
The farmer needs to increase production, since the current rate is 2 quarts per minute.
Step-by-step explanation:
Just took the lil quiz
A batter hits a baseball with an initial horizontal speed of 74 mph and an initial rate of climb of 61 mph. How fast is the ball traveling when it leaves the bat? ____mph When the ball leaves the bat, what angle does it initially form with the horizon?___ ° In this context, gravity will change the ball's rate of climb over time but has no effect on the ball's horizontal speed. If the ball lands 2.851 seconds after it was hit, how many feet did the ball travel? (Recall that there are 5,280 feet in one mile and 3600 seconds in one hour.) ______feet
Answer:
when it leaves the bat ,it travels at 95.9mph
the angle made is 39.5°
distance travelled is 238.76ft
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a batter hits a baseball with an initial horizontal speed of 74 mph and an initial rate of climb of 61 mph.
[A] -
The initial speed of the ball when it leaves the bat will be -
v = √(v(h)² + v(c)²)
v = √((74)² + (61)²)
v = 95.9 mph
[B] -
The angle made will be -
Ф = tan⁻¹(61/74) = 39.49°
Therefore -
The initial speed of the ball when it leaves the bat will be 95.9 mph.The angle made by the ball with horizontal is 39.49°.To solve more questions on 2 -D figures, visit the link below-
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[Question in english -
The area of a triangle is 36 square feet and the base is 9 feet. What is the height of the triangle in inches?]
Divide x3 – 3x2 + x-2) ÷ 10x414x3_10x2 + 6x = 10 The quotient is ____
The remainder is ____
Answer:
Im pretty sure X= 5/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x3−3x2+x−2
10
x414)(x3)(0)x2+6x=10
0+6x=10
(6x)+(0)=10(Combine Like Terms)
6x=10
6x=10
Step 2: Divide both sides by 6.
6x
6
=
10
6
x=
5/3
A shirt is regularly priced at 42$. It is on sale for 15% off of the regular price. What is the sale price of the shirt ?
Answer:
$35.7
Step-by-step explanation:
you can convert 15% to a decimal by dividing by 100.
15/100 = .15
if you multiply the decimal by the cost of the shirt you get how much the discount is.
0.15 * $42 = 6.30
so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.
$42 - $6.30 = $35.70 that is the sale price of the shirt.
Answer:
$35.7
Step-by-step explanation:
Kevin made a business trip of 241.5 miles. He averaged 57 mph for the first part of the trip and 51 mph for the second part. If the trip took 4.5 hours, how long did he travel at each rate?
Kevin traveled at 57 mph for 2 hours and at 51 mph for 2.5 hours.
Let's assume that Kevin traveled x hours at 57 mph for the first part of the trip. Then, he traveled (4.5 - x) hours at 51 mph for the second part of the trip.
Using the formula, distance = speed × time, we can write two equations:
Distance of first part of the trip = 57x
Distance of second part of the trip = 51(4.5 - x)
The sum of these distances should be equal to the total distance of the trip, which is 241.5 miles.
57x + 51(4.5 - x) = 241.5
Simplifying this equation, we get:
57x + 229.5 - 51x = 241.5
6x = 12
x = 2
So, at 51 mph for (4.5 - 2) = 2.5 hours.
Therefore, Kevin traveled at 57 mph for 2 hours and at 51 mph for 2.5 hours.
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