If a family has three pets, what is the theoretical probability that they have three dogs or three cats?
Help! I’ve been stuck for like minuteeesss!!!
If f(x) = 0.5x and g(x) = 0.25x. Which statement is true?
Please help asap!!!
Which expression is equivalent to -9x^-1y^-9/-15^5y^-3
A.3/5x^5y^3
B.3/5x^6y^6
C.5/3x^5y^3
D.5/3x^6y^6
Edgar has a bird bath that holds 2 gallons of water. He only want to fill it 3/4 full. How much water in gallons should Edgar put in the bird bath?
How much money does the average professional football fan spend on food at a single football game? that question was posed to 10 randomly selected football fans. the sample results provided a sample mean and standard deviation of $14.00 and $2.50, respectively. use this information to construct a 90% confidence interval for the mean?
the function f(x)=a^x-4 will never cross the x-axis. true or false
Answer: False
Solution:
The exponential functions with the form y=a^x never cross the x-axis (x-axis is an asymptote), but in this case we have the exponential function translated 4 units downward, then this function crosses the x-axis.
As it is not given a is positive real number or negative real number.
By supposing a is any real number, we will draw the graph of the curve
[tex]a^x-4[/tex] by taking different values of x.
As i have taken different values of a ,
I found that for a< 0, the graph of the curve [tex]y=a^x-4[/tex] does not exist.
For any other value of a, the curve cuts the x axis at one point.
For values of 1<a<0, the curve will cut negative side of X axis.
For value of a, a≥1, the curve will cut positive side of X axis.
For , a=0, the curve will not cut the x axis.
So, The function , f(x)=[tex]a^x -4[/tex] will cuts the x axis at one point for a >0 and for negative values of a, and for a< 0 ,it will not cut the x axis.
The lifetimes of batteries produced by the juicy battery company are normally distributed with a mean of 100 hours and a standard deviation of 10 hours. find the number of hours where at least 90% of the batteries will continue to operate at.
List 3 values that would make this inequality true 4n <_ 12
What is the expression for "the sum of 8 times a number and two"? 8 × 2N 8N + 2 8(N + 2)
Answer:
Option B. 8N + 2
Step-by-step explanation:
Expression given in the question is " the sum of 8 times a number and two" will be = (8 times N + 2)
= 8N + 2
Therefore, option B. is the answer.
Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.) How many different card designs are possible?
Answer:
The different card designs possible are:
224
Step-by-step explanation:
It is given that:
There are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)
As she has to choose one from each given item this means she will use a combination to choose the item.
We know that the combination for r choices out of total n choices is given as:
[tex]n_C_r=\dfrac{n!}{r!\times (n-r)!}[/tex]
Hence, the total combinations made are given as:
[tex]2_C_1\times 4_C_1\times 7_C_1\times 4_C_1\\\\\\=\dfrac{2!}{1!\times (2-1)!}\times \dfrac{4!}{1!\times (4-1)!}\times \dfrac{7!}{1!\times (7-1)!}\times \dfrac{4!}{1!\times (4-1)!}\\\\=2\times 4\times 7\times 4\\\\=224[/tex]
Hence, the different card designs that are possible are:
224
The different card designs that are possible will be 224. The formula for the combination is used to solve the problem.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order.
Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
The given data in the problem is;
Paula is going to choose 2 sizes, 4 colors, 7 phrases, and 4 pictures . If the one item has to be chosen;
The total combination is;
[tex]= \rm 2C_1 \times 4C_1 \times 7C_1 \times 4 C_1 \\\\ = \frac{2!}{1!\times (2-1)!} \times \frac{4!}{1! \times (4-1)!} \times \frac{7!}{1!\times (7-1)!} \times \frac{4!}{1!\times (4-1)!} \\\\ =2 \times 4 \times 7 \times 4 \\\\ =224[/tex]
Hence different card designs are possible will be 224.
To learn more about the permutation and combination refer;
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solve the system of equations algebraically.
what is the answer to this word problem??
a 0.149-kilogram baseball, initially moving at 15 meters per second, is brought to rest in 0.040 seconds by a baseball glove on a catchers hand. the magnitude of the average force exerted on the ball by glove is
Using the relationship between force and acceleration, the average force exerted on the ball by the glove is :55.875 N
Given the Parameters :
Mass, m = 0.149 kg Velocity, V = 15 m/s Time, t = 0.040 secondsRecall :
Force = Mass × acceleration Acceleration = Δv / tForce = (mΔv ÷ t)
Inputting the Values into the equation :
Force = [0.149 × (15 - 0)] ÷ 0.040
Force = (0.149 × 15) ÷. 0.040
Force = 2.235 ÷ 0.040
Force = 55.875 N
Therefore, the force exerted is 55.875 N
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How to find turning point of (c-2)^3+8
Suppose that after he makes his first shot, he shoots exactly 5 more shots. what is the probability that, out of these 5 attempts, he makes an even number of shots?
How do you do question number 5? If you do it can you please explain how to do it? Thank you!!
Answer:
F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
The solution is -18.F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
Step-by-step explanation:
Hannah keeps her marbles in bags with for marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles in 2 bags
She keeps 4 marbles in every bag and mark it with 3/4 to represent red marbles in the bag. It means there are 3 Red marbles out of total 4 marbles in the bag.
It says to write another fraction to represent number of red marbles in two bags.
Since one-bag contains 3 Red marbles out of total 4 marbles in the bag.
Then two-bags would contain 2x3 Red marbles out of total 2x4 marbles in the bag i.e. 6 Red marbles out of total 8 marbles in the bag.
So, [tex] \frac{6}{8} [/tex] is the another fraction to show number of red marbles.
One side of a triangle is increasing at a rate of 8 cm/s and a second side is decreasing at a rate of 3 cm/s. if the area of the triangle remains constant, at what rate does the angle between the sides change when the first side is 24 cm long, the second side is 35 cm, and the angle is π/6?
Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?
Answer:the number of washes after which 24 ounces will remain in the bottle is:
36 washes.
Step-by-step explanation:
The correct answer is 18.
To find the equation that can be used to determine the number of washes (x) after which 24 ounces of shampoo will remain in the bottle, we need to set up an equation based on the given information.
Given information:
- Initial amount of shampoo in the bottle (I) = 60 ounces
- Amount used per wash (U) = 2 ounces
- Remaining amount after x washes (R) = 24 ounces
[tex]I - (U \times x) = R[/tex]
[tex]60 - (2 \times x) = 24[/tex]
[tex]60 - 24 = 2x[/tex]
[tex]36 = 2x[/tex]
[tex]x = \frac{36}{2}[/tex]
[tex]x = 18[/tex]
Therefore, the equation that can be used to find x is:
[tex]60 - (2 \times x) = 24[/tex]
And the number of washes after which 24 ounces of shampoo will remain in the bottle is 18.
The tangent line has the form y=mx+b . use tl above to find b +juliabox
find the area of the right triangle with the base length 30 inches and height 3 feet
If the dimensions of a square pyramid are measured in yards, then the volume of the pyramid is measured in
Answer: The volume of the pyramid is measured in cubic yards.
Step-by-step explanation: Given that the dimensions of a square pyramid are measured in yards.
We are to find the unit in which the volume of the pyramid is measured.
We know that
the volume of a square pyramid with length of base edge 'a' units and height 'h' units is given by
[tex]V=\dfrac{1}{3}a^2h~\textup{cubic units}.[/tex]
Here, length of base edge 'a' and the height 'h' of the given square pyramid is measured in yards.
Therefore, the volume of the pyramid will be measured in
[tex]\textup{yards}\times \textup{yards}\times \textup{yards}\\\\=\textup{cubic yards}.[/tex]
Thus, the volume of the square pyramid is measured in cubic yards.
Help with this algebra math question please
Elevator 1 moved up 10 feet from the ground level. Its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. Its position is labeled as _____. (Use the hyphen for negative such as -1)
You can rake a 20 square meter lawn in 10 minutes. If your mother asks you to rake your own lawn, which is 30 square meters, how long will it take you to do this?
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350. Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?
Answer: I saw someone else answer this and it doesn't match up with the choices so I decided to do this my self and for anyone else who might need this in the future. For those on Khan academy the answers are B, C, AND D.
Step-by-step explanation: I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Following could be combinations of values for the plumber's work hours and total work fee she charges : 8 hours and $490, 7.25 hours and $500, 270 for 3 hours work. So, the correct choice of options for the image are B, C, and D.
Since the relationship between the number of hours a plumber works and the total work fee he charges is proportional, we can use the following equation to calculate the total work fee:
Total work fee = Number of hours worked * Hourly rate
Therefore, the following combinations of values for the plumber's work hours and total work fee are proportional:
8 hours and $490 (the hourly rate is $490/8 hours = $61.25)
7.25 hours and $500 (the hourly rate is $500/7.25 hours = $68.75)
6 hours and $420 (the hourly rate is $420/6 hours = $70)
The other two options, A and E, are not proportional.
For example, if the plumber works for 3 hours and charges $245, the hourly rate would be $245/3 hours = $81.67.
However, if the plumber works for 3.5 hours and charges $270, the hourly rate would be $270/3.5 hours = $77.14.
This shows that the hourly rate is not constant, so the relationship between the number of hours worked and the total work fee is not proportional.
The correct choice of options for the image are B, C, and D.
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what id is 29/4 improper
P= s-c/s solve for c
Therefore, the solution for c in terms of P and s is c = s(1 - P).
To solve for c in the equation P = (s - c) / s, you want to isolate c on one side. Here's the step-by-step:
Multiply both sides by s to eliminate the denominator: P × s = s - c.
Distribute P within s: Ps = s - c.
Now, get all terms containing c on one side: c = s - Ps.
So, the solution for c in terms of P and s is c = s - Ps, or c = s(1 - P).
There were three trains made of the cars with exactly the same number of passenger's seats. The first train had 418 seats, the second 456, and the third 494. How many cars were in each train, if it is known that each train had not more than 50 cars?
1 train=?
2 train=?
3 train=?