A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)
Two complementary angles have measures of 15° and (x+5)°. what is the value of x? *
The value of x is 70 degrees. This is obtained by solving the equation formed from the definition of complementary angles (the sum of the angles is 90 degrees).
Explanation:In mathematics, two angles are said to be complementary if the sum of their measures is 90 degrees. In this case, the two angles in question have measures of 15 degrees and (x+5) degrees. Therefore, we can create an equation by adding the two measures and setting the sum equal to 90.
So, 15 + (x+5) = 90.
Solving for x, we first combine like terms, yielding x + 20 = 90. Then we simply subtract 20 from both sides of the equation to obtain the value for x. So, x = 90 - 20 = 70 degrees.
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how do i solve this.?
To solve a physics problem, make a list of known variables, solve the equation for the unknown, substitute known values with correct units into the equation, and check if the solution is reasonable.
Explanation:Steps to Solve a Physics Problem
When attempting to solve a physics problem, it is essential to follow a structured approach to reach a solution successfully. Here is a step-by-step method to guide you:
Identify the knowns: List all the given variables, or information that can be inferred, from the question.Solve for the unknown: Determine what you need to find out and use the relevant equations that include this unknown variable. If the equation involves more than one unknown, additional equations are needed.Substitute known values into the equation: Insert the known variables along with their appropriate units into the equation to solve for the unknown. Confirm that you're using the correct units, such as radians for angles.Check your answer: Once you have a numerical solution, verify if it makes sense contextually and if the units are consistent.Some problems may require several steps or the use of multiple equations to find the solution. Always keep in mind the physical principles to guide your problem-solving process.
The expression 33n+13f+7p+10d represents the cost, in dollars, to purchase n cases of paper, ff packages of hanging folders, pp packs of pencils, and dd flash drives. Which statement is NOT true?
A.) The term 7p represents the cost for 7 packs of pencils.
B.) The coefficient 10 represents the cost of each flash drive.
C.) The coefficient 7 represents the cost of one case of paper.
D.) The term 13f represents the cost of ff packages of hanging folders at $13 per package.
Answer:
A) The term 7p represents the cost for 7 packs of pencils.
Step-by-step explanation:
Have a good day ^.^
if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true or false
7.8 x - 17.2 when x=5
Which equation represents a line that passes through (5, 1) and has a slope of ?
y – 5 = 1/2(x –1)
y – 1/2 = 5(x –1)
y – 1 = 1/2(x –5)
y – 1 = 5|x-1/2|
Answer:
ITS C
y -1 = 1/2 ( x -5)
The equation represents a line that passes through (5, 1) and has a slope of 1/2 is given by (A) y - 5 = 1/2 (x-1).
What is Slope?The tangent value of the angle formed between a straight line and positive x-axis is called the Slope of that straight line.
If the slope of a line is m and the line is satisfied by point (a,b) then the equation of the line is given by,
y - b = m (x - a)
Here in the problem it is given that the slope is 1/2 and line passes thorugh (5,1).
So, a = 5, b = 1, m = 1/2
Hence the equation of the straight line is given by,
y - 5 = 1/2 (x - 1)
Hence the correct option is (A)
Your question is incomplete.Please find the missing content here:
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
?y – 5 = 1/2(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)y – 1 = 5|x-1/2|
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Simplify 12.6h + 4.5k – 1.5h.
What is the least whole number that has exactly 7 factors including 1 and itself?
Answer:
64
Step-by-step explanation:
Pairs: (1,64), (2, 32), (4, 16), (8, 8)
Note: 8 only counts as 1 factor (not 2)
Factors: 1, 2, 4, 8, 16, 32, 64
count them and you get 7 factors
How many different 9 letter words can be formed from the letters in the word statistics?
Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?
What is 19.2×10^8 minutes in hours?
1.152 x 10^11 h
3.200 x 10^7 h
1.152 x 10^7 h
3.200 x 10^9 h
Answer: 3.200 x 10^7h
Step-by-step explanation:
Correct answer on K12
How Can I find ef? Do I multiply add or diving
factor x^2 + 3x + 2
infinity/infinity
To factor the quadratic x^2 + 3x + 2, it can be written as (x + 1)(x + 2). The concept of infinity over infinity (∞/∞) is an indeterminate form in limits and usually requires further techniques to evaluate.
To factor x^2 + 3x + 2, you want to find two numbers that both add up to +3 (the coefficient of x) and multiply to +2 (the constant term). These numbers are +1 and +2. Thus, you can express the quadratic equation as a product of two binomials:
x^2 + 3x + 2 = (x + 1)(x + 2).
As for the concept of limits like ∞/∞, it commonly arises when evaluating the behavior of functions as the variable approaches infinity. It represents an indeterminate form which requires further algebraic manipulation or techniques such as L'Hôpital's rule to find a meaningful limit.
am-n=p (solve for a)
The value of a = (p + n) / m.
To isolate a in the given equation am - n = p, follow these steps:
Start with the original equation: am - n = p.
Add n to both sides of the equation to eliminate n from the left-hand side:
am - n + n = p + n
am = p + n.
Next, divide both sides of the equation by m to solve for a:
(am) / m = (p + n) / m
a = (p + n) / m
Therefore, a = (p + n) / m is the solution to the equation.
Quinn used compensation to find the product of 37x4. First, she found 40x4=160. Then she adjusted that product by adding 3 groups of 4 to get her final answer of 172. What did she do incorrectly?
Trevor is swimming laps to raise money for the local food bank. He earns $1.85 per lap and has already swum 23 laps.
• Write an inequality to show how many more laps Trevor needs to swim in order to raise more than $100.
Answer: L greater than 31
Step-by-step explanation:
Trevor is swimming laps to raise at over 100 dollars for the local food bank. He earns $1.85 per lap and has already swum 23 laps.
This means that the total amount that he has raised is number of laps that he has swum × the amount he earns per lap. Therefore,
Amount that he has already raised
= 1.85 × 23 = $42.55
100 - 42.55 = 57.45
He still needs to raise an amount greater than $57.45
To raise this amount, he needs to swim more laps. Number of laps that he needs to swim will be
57.45/1.85 = 31.05
Approximately 31 laps
Let the number of laps that he needs to swim be L
The inequality to show how many more laps Trevor needs to swim in order to raise more than $100 will be
L greater than 31
The average yearly snowfall in chillyville is normally distributed with a mean of 55 inches. if the snowfall in chillyville exceeds 60 inches in 15% of the years, what is the standard deviation?
The standard deviation of the snowfall in Chillyville, when the snowfall exceeds 60 inches in 15 percent of the years, is 5 inches.
Explanation:The question is about finding the standard deviation of the normally distributed data for snowfall in Chillyville. From the given problem, we have the mean (μ) as 55 inches and the given probability for snowfall exceeding 60 inches is 15% or 0.15 which happens to correspond to 1 - 0.85 = 0.15 in the standard normal distribution. This places it in the 85th percentile of the standard normal distribution, which corresponds to a Z-score of about 1.
From the Z-score formula Z = (X - μ)/σ, where X is the data point, μ is the mean and σ is the standard deviation, we can substitute the known values: 1 = (60 - 55)/σ . Solving it gives σ = 60 - 55, which implies the standard deviation is 5 inches.
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Classify the following triangle.Check all that apply.
Answer:
Obtuse and Isosceles
:) Apex
The triangle in the image can be classified as follows:
The correct options will be
Right [ F] : One of the angles is 90 degrees.
Isosceles [ D]: Two of the sides are equal (the two shorter sides).
We can see from the triangle that two of the angles measure 41 degrees each and the third angle is 98 degrees. The sum of the angles in a triangle is 180 degrees, and since 41 + 41 + 98 = 180, we know that the triangle is valid.
Right triangles can also be isosceles (in fact, there is a specific type of right triangle called a 45-45-90 triangle). So, this triangle qualifies for both classifications.
The triangle cannot be classified as:
Acute [ B]: Acute triangles have all angles less than 90 degrees.
Obtuse [ A]: Obtuse triangles have one angle greater than 90 degrees.
Equilateral [ E]: Equilateral triangles have all three sides equal.
The complete question is: Classify the following triangle.Check all that apply.
How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?
PLEASE HELP!!!! 25-30 points! : )
#1 Solve the proportion.
13-b / 6 = 2-0.5b / 4
A. 72
B. 32
C. 40
D. 64
Please exlpain your answer! :)
#2 Solve the proportion.
x-9 / 3 = 5 / 13
A. 84/5
B. 15/13
C. 132/13
D. 24/13
Please explain your answer! :)
#3 Solve the proportion.
w+14 / 4w+6 = 3/4
A. 19/4
B. 15/28
C. 2/7
D. 8/19
Please explain your answer! :)
#4 Solve the proportion.
x-8 / 5 = 2/4
A. 5/2
B. 9/2
C. 18
D. 21/2
Please explain your answer! :)
What values of c and d make the equation true?
c = 2, d = 2
c = 2, d = 4
c = 6, d = 2
c = 6, d = 4
Answer:
c=6 and d=2 makes the equation true
Step-by-step explanation:
[tex]\sqrt[3]{162x^cy^5} = 3x^2y(\sqrt[3]{6y^d})[/tex]
plug in c=2 and check
[tex]\sqrt[3]{162x^2y^5}[/tex]
We cannot simplify cuberoot (x^2)
So c=2 does not works
Lets try with c=6 and d=2
[tex]\sqrt[3]{162x^6y^5}[/tex]
Cuberoot(x^6) = x^2
cuberoot (y^5)= ycuberoot (y^2)
[tex]\sqrt[3]{162x^6y^5} = 3x^2y(\sqrt[3]{6y^2})[/tex]
So c=6 and d=2 makes the equation true
A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam?
Answer:
80%
Step-by-step explanation:
If 60% of the class passed the second exam and only 48% passed the first your solution would have to be of the 48%. Therefore 0.48/0.60=0.8/1.0=80%
The sum of two numbers is 54 and the difference is 12 . what are the numbers?
Plzz help me with this one i dont know what to do on this one
5x- 3(x-2)
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day how long would it take to triple its weight if it gain 8 grams per day
If events A and B are independent, find P(A|B)
Answer:A
Step-by-step explanation:
Unit rate of 14.25 for 3 pounds of deli meat
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.
To solve this question, we have to:
Understand the concept of an isosceles triangle.Use this concept, along with the perimeter concept, to build the equation to find the length of the sides.Doing this, we get that the length of the base is 10 cm and the length of the legs is 20 cm.
Isosceles triangle:
In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.
Perimeter:
The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.
In this question:
Perimeter of 50 cm;Two legs of l;Base is half the leg, so l/2.Then, the equation is:
[tex]l + l + \frac{l}{2} = 50[/tex]
[tex]2l + \frac{l}{2} = 50[/tex]
[tex]\frac{4l + l}{2} = 50[/tex]
[tex]5l = 100[/tex]
[tex]l = \frac{100}{5}[/tex]
[tex]l = 20[/tex]
Thus:
The length of the legs is of 20 cm.The length of the base is of 20/2 = 10 cm.A similar question is found at https://brainly.com/question/20321307