In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are
5 finalists. In how many different ways can the 3 medals be awarded?
Answer:
60 ways
Step-by-step explanation:
There are five finalist and 3 medals.
For getting the first medal, there are 5 choices, any of the finalist can get that.
For getting the second medal, we are left with 4 choices.
For getting the third medal we are left with 3 choices.
Hence, the number of ways 3 medals can be awarded are:
5×4×3=60 ways
A bag of fruit contains 3 apples, 2 oranges, 1 banana and 4 pears. What is the probability that I will pull out a banana first and a pear second?
PLEASE HELP!!!! SOLVE: |2x+1|+|3x−4|=5
What is the volume of this right triangular prism?
A.)144.2 cm3
B.)164.8 cm3
C.) 288.4 cm3
D.) 1153.6 cm3
Simplify each expression. Select the correct answer from the drop-down menu.
−6(3i)(−2i) =
2(3 − i)(−2 + 4i) =
the answer is:
−6(3i)(−2i) = -36
2(3 − i)(−2 + 4i) = -4+28i
2i(4 − 5i) = 10+8i
hope this helps! :o)
What is the value of G in the center and how do you solve it?
If a(x) is a polynomial function and b(x) is a polynomial function, then which of the following could be the sum of a(x) + b(x)?
A. ex + 2
B. x2 + 2x − log(x)
C. x6 − x4 + 9x
D. 5x² − 3x
What is the area of the triangle in this coordinate plane? 9.0 units² 14.0 units² 16.5 units² 24.5 units² A graph with a triangle drawn on it
if a line is tangent to a circle at how many points does it interest the circle?
-(m-6)=3m+14 what is m
if a cone-shaped hole is 3 feet deep and the circumference of the base of the hole is 44 ft, what is the volume of the hole? use 22/7 for pi
Final answer:
To find the volume of a cone-shaped hole with a depth of 3 feet and a base circumference of 44 ft, calculate the radius using the circumference formula, then plug the radius and height into the volume formula to get 154 cubic feet.
Explanation:
The volume of a cone-shaped hole can be calculated using the formula V = (1/3) × π × r² × h, where r is the radius of the base and h is the height of the cone. In this case, the circumference of the base, 44 ft, can be used to find the radius. Given that the radius is 14 ft, and the height is 3 ft, you can substitute these values into the formula to find the volume of the hole.
Calculate the radius: Circumference = 2πr, so r = Circumference / 2π = 44 / 2π = 7 ft.
Calculate the volume: V = (1/3) × 22/7 × 7² × 3 = 154 ft³.
an art easel with equal sides are opened and placed on a desk, classify the type of triangle formed by the easel and the desk
A cake recipe requires 1 2/3 cups of milk how many cups altogether are necessary to make 4 cakes
Evaluate. 6+5|4-3^2| A. -19 C. 31 D. 55
Answer:
6 + 5|4 - 3²| =
6 + 5|4 - 9| =
6 + 5|-5| =
6 + 5(5) =
6 + 25 = 31
The correct answer is C.
What situation could this diagram represent?
Answer: B- Flipping two coins once
Step-by-step explanation:
B. Tossing Two Coins Once
I Got it Right i Promise
Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?
The system of equations that could be used to solve the problem is 7(x - y) = 120; 4.5(x + y) = 120. option A
which of the following system of equations could be used to solve the problem?
If
x is the speed of the boat is still water
y is the speed of the current
7(x - y) = 120
4.5(x + y) = 120
Therefore, the system of equation can be rewritten as;
7x - 7y = 120
4.5x + 4.5y = 120
Complete question:
Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?
A. 7(x - y) = 120; 4.5(x + y) = 120
B. 7(x + y) = 120; 4.5(x + y) = 120
C. 7(x - y) = 120; 4.5(x - y) = 120
D. 7(x + y) = 120; 4.5(x + y) = 120
Bill says that he can add 23 and 40 without regrouping. Is bill correct? How do you know?
In which quadrant of the coordinate graph does point F lie? Quadrant I Quadrant II Quadrant III Quadrant IV
The quadrant of the coordinate graph does point F lie in quadrant IV.
What is Quadrant in Graph?The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
The sign notations for four Quadrants is as follows:
Quadrant I :
both x and y positive.
Quadrant II :
x negative and y positive
Quadrant III:
x and y both negative.
Quadrant IV:
x positive and y negative.
As, the point F has coordinates (1,-5) which shows x is positive and y is negative.
So, point F is in quadrant IV.
Learn more about Quadrant here:
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PLEASE NEED HELP WITH A-D
if side a=22.3 and angle b=47 ,find c.
A.24.6
B.25.1
C.31.5
D. 32.9
Answer:
D. 32.9
Step-by-step explanation:
Pls help me lots of points
Answer:
2 m&ms and 1 hershey's bar
Step-by-step explanation:
The area of a rectangular knitted blanket is 15x2-14x-8. What are the possible dimensions of the blanket? Use factoring.
Final answer:
The area of a rectangular blanket is 15x² - 14x - 8, and by factoring this expression, we find the possible dimensions to be (5x + 2) units by (3x - 4) units. The variable x represents a dimension and must be a positive value so that the actual dimensions are also positive.
Explanation:
The student is asking about the possible dimensions of a rectangular knitted blanket whose area is given by the polynomial 15x² - 14x - 8. To find the dimensions of the blanket, we need to factor this quadratic expression. Factoring is the process of breaking down a complex expression into simpler ones that, when multiplied together, give the original expression.
Let's factor the given expression:
Find two numbers whose product is 15 (coefficient of x²) multiplied by -8 (constant term) and whose sum is -14 (coefficient of x). These numbers are -20 and +6.Rewrite the middle term (-14x) using the numbers found: 15x² - 20x + 6x - 8.Factor by grouping: (15x² - 20x) + (6x - 8) = 5x(3x - 4) + 2(3x - 4).The expression can now be factored as (5x + 2)(3x - 4).The factored form suggests that the rectangle's dimensions could be (5x + 2) units by (3x - 4) units, where x is a variable representing one of the dimensions. However, since the values of x need to make physical sense in the context of a blanket's size, x will need to be a positive value such that (5x + 2) and (3x - 4) are also positive.
Write an equition that expresses y in terms of x
A function is a relationship that maps__.
A) many inputs to many outputs or one input to one output
B) many inputs to many outputs or many inputs to one output
C) one input to many outputs or one input to one output
D) one input to one output or many inputs to one output
Solution:
A function is always a relation but a relation is not always a fucntion.
For example
we can make a realtion of student roll number and their marks obtained in mathematics.
So we can have pairs like (a,b), (c,d)..etc.
Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.
Because two diffrent students with two diffrent Roll number may have same marks.
Hence the foolowing options holds True in case of a function.
A) many inputs to many outputs or one input to one output.
D) one input to one output or many inputs to one output.
Answer:
The correct answer is D. A function is when an input has one output. An input can only have one output but an output can have multiple inputs. Hope this helps!
You and your friend are standing back to back. Your friend runs 20 feet forward and then 15 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball
PLZ HELP!
at the apple orchard workers were asked to put 100 apples in barrels. the following five were filled incorrectly. if the supervisor wrote +5 above a barrel, it meant that the barrel was 5 apples over, -5 meant that a barrel was 5 apples less than 100.
How many TOTAL apples are i the five barrels?
a -480 apples
b 498 apples
c 500 apples
d 520 apples
write the equation of the parabola below
Two sides of a triangle measure 20 cm and 30cm. What is the third side?
round 49,953 to the nearest hundred
Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?