Given:
The number of pennies, p=25.
The number of nickels, n=15.
The number of dimes, d=15.
The number of quarters, q=5.
The total number of coins is,
\(N=25+15+15+5=60\)The probabilty the coin is a dime is,
\(P(d)=\frac{d}{N}=\frac{15}{60}=\frac{1}{4}\)The to
a number has the digits 2, 5, and 4. To the nearest 100, the number rounds to 200. What is the number?
Answer:
245
Step-by-step explanation:
if you're rounding to the nearest 100, 245 would be the only one that would round to 200. if it were 250 or above, it would round to 300, so 245 is the only one that would round to 200 because 245 is less than 250
Review Questions
We have learned that there are five steps to reading a new piece of music. Can you name all five steps?
What is a voice part in choral music?
Why are key signatures important in music?
Can you name the voice types that are common in a choral octavo? What does each mean?
How do sharps or flats work on a scale?
Critical Thinking Questions
What is the difference between rhythm and pitch?
Why is it important to learn how to use our voices?
Below is a treble clef with the lines: EGBDF. We learned that, to remember these lines, we can think of ‘Every Good Boy Does Fine.’ Can you think of a different phrase that we could use to remember the lines? Use each letter (EGBDF) in order.
Answer:
A voice type is a singing voice identified as having certain qualities or characteristics of vocal range, vocal weight, tessitura, vocal timbre, and vocal transition points, such as breaks and lifts within the voice.The purpose of the key signature is to minimize the number of such accidentals required to notate the music. The sequence of sharps or flats in key signatures is generally rigid in modern music notation. ... In a score containing more than one instrument, all the instruments are usually written with the same key signature.Bass, Baritone, Tenor, Alto, Mezzo-Soprano, and Soprano. If you've been part of a choir before, you're probably pretty familiar with these ranges.Image result for How do sharps or flats work on a scale?
A sharp symbol on a line or space in the key signature raises the notes on that line or space one semitone above the natural, and a flat lowers such notes one semitone. ... Each major and minor key has an associated key signature that sharpens or flattens the notes which are used in its scales
This should be it I think
What information is necessary to prove two triangles are similar by the SAS similarity theorem?
Answer:
If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Step-by-step explanation:
The information that important for proving two triangles are same by SAS is as follows:
In the case when the 2 sides in one triangle is proportional to 2 sides for another triangle. And the included angle in both should be considered congruent.So, the two triangles are same.Learn more: brainly.com/question/17429689
Find the distance between the two points
Check the picture below.
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }\)
work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:
C = π(14 cm)
Multiplying, we get:
C = 14π cm
So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
2. Given the situations below, Identify if it is a linear or exponential model or neither.
Explain your reasoning.
a. A savings account that starts with $5000 and receives a deposit of $825 per month.
Step-by-step explanation:
The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:
balance = $5000 + $825 * months
where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.
Therefore, the model for this situation is linear.
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1600 miles. What warranty should the company use if they want 94% of the tires to outlast the warranty?
Answer:
The warranty the company should use is of 57,520 mile.
Step-by-step explanation:
Let X denote the tread life of a particular brand of tire.
It is provided that, \(X\sim N(60,000, 1600^{2})\).
Also provided that the company wants 94% of the tires to outlast the warranty.
Let x denote the warranty .
That is, P (X > x) = 0.94.
⇒ P (X < x) = 0.06
⇒ P (Z < z) = 0.06
The corresponding value of z is -1.55.
*Use a z-table.
Compute the value of x as follows:
\(z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520\)
Thus, the warranty the company should use is of 57,520 mile.
Hatif has $150 in his account. He saves $80 each month. How long will it take before he has $630 in his account?
Answer:
6 months
Step-by-step explanation:
We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.
Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.
The equation representing the situation is:
$150 + $80n = $630
Now, let's solve for "n":
$80n = $630 - $150
$80n = $480
n = $480 / $80
n = 6
Therefore, it will take Hatif 6 months to reach $630 in his account.
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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Dana’s phone has zero battery. After charging her phone for one minute it has 2% battery. After 2 minutes her phone has 6% battery. Based on this predict the number of minutes it will takes for Dana to charge her phone battery’s so that it had 50% power and 90% power.
Using the line of best-fit, it is found that:
50% power is obtained after 16.8 minutes.90% power is obtained after 30.1 minutes.How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, the points are:
(0,0), (1,2), (2,6).
Hence, using a calculator, the estimate for the battery after x minutes is given as follows:
y = 3x - 0.333.
50% power is obtained when y = 50, hence:
50 = 3x - 0.333
x = 50.333/3
x = 16.8 minutes.
90% power is obtained when y = 90, hence:
90 = 3x - 0.333
x = 90.333/3
x = 30.1 minutes.
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y 4 7(x-6)
x-intercept:
y-intercept:
PLEASE ANSWER FAST.
Answer: y-4=7(x-6)
x-intercept(s): (38/7,0)
y-intercept(s): (0,−38)
I believe this is right hope this helps
Step-by-step explanation:
25/5=60/12 do they form a proportion
Answer: YES
Step-by-step explanation: both equal 5 when divided.
The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find
the actual distance, x, represented by 20 centimeters on the map?
\(\frac{10}{4}\) = \(\frac{x}{20}\) proportion can be used to find the actual distance 'x' represented by 20 centimeters on the map.
What is the formula of unitary method?The unitary method is used to find the value of a single unit from a given multiple.
For example: 50 boxes are of 500 rupees so what will be the price of 1 box
50 boxes → Rs. 500
1 box → 500/50
1 box → Rs. 10
This method is mostly used for ratio and proportion concept.
Here, we have given that the scale on a map shows that 10 kilometers is represented by 4 centimeters.
so,
4 centimeters → 10 kilometers
1 centimeter → 10/4 kilometers ------- ( i )
for 20 centimeters
20 centimeter → x kilometers
1 centimeter → x / 20 kilometers ------- ( ii )
on equating both the equations ( i ) and ( ii )
x / 20 = 10 / 4
x = 50 kilometers
Hence, \(\frac{10}{4}\) = \(\frac{x}{20}\) proportion can be used to find the actual distance 'x' represented by 20 centimeters on the map.
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The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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Could y’all PLEASE HELP
Answer:
should be complementary angles
NEED HELP QUICKLY!
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Identify X.
−3.7 = −5.4x − 5.5
Enter your answer as a fraction in simplest form in the box.
Answer: -1/3
Step-by-step explanation:
Because 0.3333 is a decimal and -1/3 is a fraction.
The value of x of the given equation −3.7 = −5.4x − 5.5 will be -0.33.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
−3.7 = −5.4x − 5.5
5.4x = -5.5 + 3.7
x = -0.33
Hence "The value of x of the given equation −3.7 = −5.4x − 5.5 will be -0.33".
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9(5x + 1) ÷ 3y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."
Will mark brainiest
The expression obtained after solving the given expression is,\(\rm \frac{(15x+3)}{y}\)
What is a BODMAS rule?For the Bracket, Order, Division, Multiplication, Addition, and Subtraction rules, BODMAS stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.
Given expression ;
9(5x + 1) ÷ 3y
Follow the BODMAS rule;
Step 1; Divide
\(\rm \frac{9(5x+1)}{3y} \\\\ \frac{3(5x+1)}{y} \\\\\)
Step 2; Multiply
\(\rm \frac{9(5x+1)}{3y} \\\\ \frac{(15x+3)}{y} \\\\\)
Hence the expression obtained after solving the given expression is,\(\rm \frac{(15x+3)}{y}\)
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pls solve this question
Answer:
\( {( \sqrt{ {x}^{ - 3} }) }^{5} = ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5} \\ \\ = {x}^{ - 3 \times \frac{1}{2} \times 5} = {x}^{ - \frac{15}{2} } = \frac{1}{ {x}^{ \frac{15}{2} } } \)
Or ;
\( {( \sqrt{ {x}^{ - 3} } )}^{5} = {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5} = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5} \\ \\ = ( { \frac{1}{ \sqrt{x} \sqrt{ {x}^{2} } } })^{5} = ({ \frac{1}{ x\sqrt{x} }})^{5} \\ \\ = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) = \frac{1}{ {x}^{5} \times {x}^{ \frac{1}{2} \times 5 } } \\ \\ = \frac{1}{ {x}^{5} \times {x}^{ \frac{5}{2} } } = \frac{1}{ {x}^{5} \sqrt{ {x}^{5} } } \\ \\ = \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1} } } = \frac{1}{ {x}^{5} \sqrt{x} \sqrt{( { {x}^{2} })^{2} } } \\ \\ = \frac{1}{ {x}^{5} {x}^{2} \sqrt{x} } = \frac{1}{ {x}^{7} \sqrt{x} } = \frac{ \sqrt{x} }{ {x}^{8} } \)
what number multiples by itself 3 times gets you 30
Answer:
3.1072325059538586
Step-by-step explanation:
If you do 3.1072325059538586 x 3.1072325059538586 x 3.1072325059538586, you get 30.
Answer this question and please explain how
The cost of parking the car for 3 hours 15 mins is $9.25.
What is the cost of parking the car for 3 hours 15 mins?The cost of parking the car for 3 hours 15 mins is calculated by applying the method of extrapolation as shown below.
From the graph, we have the following;
20 mins ----> a cost of $0.5
30 min ------> a cost of $1
3 hours 15 min = ?
First we need to convert the time in hours minutes to minutes only,
3 hours = 3 x 60 min = 180 minutes
3 hours + 15 mins = 180 mins + 15 mins = 195 mins
The cost of parking the car for 3 hours 15 mins is calculated as;
20 mins ----> $0.5
30 min ------> $1
195 mins ------> ?
(195 - 20 ) / (30 - 20) = (? - 0.5 ) / (1 - 0.5)
17.5 = (? - 0.5 ) / (0.5)
0.5 x 17.5 = ? - 0.5
8.75 = ? - 0.5
? = 8.75 + 0.5
? = $9.25
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
find the value of x
Answer:
x=12
Step-by-step explanation: brainest pls
What percent of 59 is 44.1 ?
By solving a system of equations, we can see that the percent of 59 which is 44.1 is 74.7%.
What percent of 59 is 44.1?Here we start by defining 59 as our 100%, and we want to see which percentage represents the number 44.1
First, we can write the "equation" or relation:
59 = 100%
If 44.1 is a percent X of 59, then we can also write the equation:
44.1 = X
So we have a little system of equations:
44.1 = X
59 = 100%
IF we take the quotient between these two equations we will get:
44.1/59 = X/100%
If we solve that equation for X, we will get:
(44.1/59)*100% = X
74.7% = X
So 44.1 is the 74.7% of the number 59.
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Math word problem giving brainlest
Answer:
0.625%
Step-by-step explanation:
I took the numbers and round them up to make the exact answer.
Which graph represents the function f(x) = 2x-1 +2
Answer: Graph A
Step-by-step explanation:
Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.
Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?
Answer:
16.05
Step-by-step explanation:
first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer
Which of these are equivalent to 11/4 choose all that apply
Answer: -11 ÷ 4; 11 ÷ (-4); \(\frac{-11}{4}\); \(\frac{11}{-4}\)
Step-by-step explanation:
A negative divided by a negative is a positive.
A positive divided by a negative or a negative divided by a positive is a negative.
Question 1
mp4
A dartboard has a radius of 9 inches, with a bullseye that has a radius of 2 inches. Find the probability of throwing a dart into
the bullseye. Round to the nearest hundredth, if necessary
check.mp4
in
Check
Probability =
Next
Pause test
Next
6:33 PM
Answer:
P=0.05
Step-by-step explanation:
You need to find the ratio of the areas, and they vary in function of the square of the radius, so you have P=2²/9²=4/81≈0.05
When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have?
Answer:
7
Step-by-step explanation:
Let's say our sum is s.
s = 10 right angles
a right angle is 90 degrees
s = 10 (90)
s= 900
Given the amount of sides in a polygon (n), the sum of the interior angles is equal to
(n-2) * 180
Therefore, the sum of the interior angles is equal to
(n-2) * 180 = 900
divide both sides by 180 to help isolate n
n-2 = 5
add 2 to both sides to isolate n
n = 7