The number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is 70.
The total number of digits (0-9) = 10.
Thus, the number of ways to pick a digit = 10.
The total number of lowercase letters (a - z) = 26
Thus, the number of ways to pick a lowercase letter = 26.
The total number of uppercase letters (A - Z) = 26
Thus, the number of ways to pick an uppercase letter = 26.
The total number of allowable punctuation marks = 8
Thus, the number of ways to pick a punctuation = 8.
Hence, the total number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is -
10 + 26 + 26 + 8 = 70.
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what is the total cost of 1.2 cubic yards of soil if it sells for $24 per cubic yard ?
Answer:
28.80
Step-by-step explanation:
1.2 * 24 = 28.8
I’ll give brainliest
Find the area of the smaller sector.
A
Area = [? ]m2
140°
8 m
B
Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Remark
Area of an entire circle = pi * r^2
Area of a sector = angle / 360 * pi * r^2
Givens
angle = 140
radius = 8
Solution
Area = (140/360) * 3.14 * 8^2
Area =0.3889 * 3.14 * 64
Area = 78.15
Answer:
78.15
Step-by-step explanation:
The value g(-3) isg(-3) = –2x² + 3x
Math To Do, -Ready
Home Jefferson County School X
+
/student/dashboard/home
Which unit would you most likely use to measure the capacity of a mug?
Answer:
fluid ounces
hope it helps;)
The most likely unit to measure the capacity of a mug is fluid ounces (fl oz).
What is capacity?The maximum amount that something can contain or hold is referred to as its capacity. It is useful for determining the volume of a container, such as a mug or a bucket. Capacity measurement units vary, but common ones include millilitres, litres, fluid ounces, and gallons.
Capacity is a measurement of how much fluid or material a container can hold, and it is usually expressed in ounces, millilitres, litres, or gallons.
Because a mug is a container that holds liquids, the appropriate unit of measurement to use when determining how much liquid a mug can hold is capacity.
Thus, the answer is fluid ounces.
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Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or not a function. Help
Answer:
can you add the dropdown menu? hard to answer without the dropdown
Step-by-step explanation:
Answer:
hope this helps!
Step-by-step explanation:
Help please this is urgent
Answer:
All of the above they are multiples
Step-by-step explanation:
Daniel's car used 8 gallons to travel 136 miles. How many miles can the car go on one gallon of gas?
QUESTION: Daniel's car used 8 gallons to travel 136 miles. How many miles can the car go on one gallon of gas?
ANSWER: 17
Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?
Don’t even know where to start! Please help with an explanation, thanks! :)
The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
∠1 + 88 = 180°( angles on a straight line)
∠1 = 180 - 88 which is 92°
∠3 = 64°( corresponding angles are equal)
∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)
∠2 + 92° + 64° = 180
∠2 = 180 - 92 - 64
∠2 = 24°
∠4 + 81 + ∠3 = 180 ( angles on a straight line)
∠4 + 81 + 64 = 180
∠4 = 180 - 64 -81
∠4 = 35°
∠5 = 81°( alternate angles are equal)
In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.
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I need help please
I'm not sure of what your trying to find... but the slope is (10/3). The equation in slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.
Does this help?
Answer: The equation of that line is \(Y = 3 \frac{1}{3}x -10\)
Step-by-step explanation:
negative 12 divided by 4
Answer:
-3 is the answer
The answer is -3, I hope this helps
Find the slope of the line graphed below.
Answer:
m=3/4
Step-by-step explanation:
slope formula= change in y over change in x
4-1/2-(-2)=3/4
Answer:the slope is 4/3 or 1 1/3 or 1.333333333
Step-by-step explanation:2-(-2)/4-1=4/3
someone please help with my geometry
Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.
Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.
You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.
Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.
Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.
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This semester Hung Lee took four 3-credit courses at Pikes Peak Community College. She received an A in accounting and C’s in history, psychology, and algebra. What is her cumulative grade point average (assume A = 4 and C = 2)
The cumulative grade point average of Hung Lee is 2.5.
It is given in the question that:-
A = 4
B = 3
C = 2
Grade received in Accounting = A
Grade received in History = C
Grade received in Psychology = C
Grade received in Algebra = C
We have to find her cumulative grade point average.
We know that:-
The cumulative grade point average of Hung Lee will be:-
Sum of grade point averages in the all the courses/Total number of courses
Hence, we can write,
The cumulative grade point average of Hung Lee is given by:-
(4+2+2+2)/4 = 2.5
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Find the measure of each angle of the quadrilateral.
all work should be in the picture, lmk if theres anything confusing
A rectangular swimming pool is surrounded by a cement walkway with the dimensions shown.
Length: 22 ft
Width: 3 ft
Height: 5x ft
Write an expression, in factored form, that represents the area of the cement walkway.
The expression that represents the area of the cement walkway is 11 ( 12 + 32x)
How to determine the area
The formula for area of a rectangular prism is given as;
Area = 2 ( wl + hw + h )
Where;
width, w = 3ftheight, h = 5x ftlength, l = 22ftNow, let's substitute into the formula for area;
Area = 2 {3(22) + 5x(3) + 22(5x) }
expand the bracket
Area = 2 { 66 + 15x + 110x }
collect like terms
Area = 2{66 + 176x}
Area = 132 + 352x
Area = 11 ( 12 + 32x)
Thus, the expression that represents the area of the cement walkway is 11 ( 12 + 32x)
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Write the point-slope form of the equation of the line through the given point with the given
slope.
through: (4.-3), slope = -2
Answer:
y+3 = -2(x-4)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y- -3 = -2 (x-4)
y+3 = -2(x-4)
99. Joelle makes $9 each hour she
babysits. If a new phone
costs $112, how many hours
must she babysit so that she
has enough money to buy the
phone?
Answer:
13 hours
Step-by-step explanation:
Put this into an equation where h is hour:
112 = 9h
Divide both sides by 9 to isolate h and find the number of hours needed:
112 ÷ 9 = 9h ÷ 9
h = \(\frac{112}{9}\)
h = 12.4
Round up so she has more than the price of the phone rather than less.
This means she must babysit for 13 hours to afford the phone.
Hope this helps!
Please answer, will give 5 star.
Answer:
The first one
Step-by-step explanation:
She cant buy anything over $15, but she can buy something thats $15 :))
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Given h(x) = -x + 1, find h(0).
Answer:
Answer:
1
Step-by-step explanation:
Given,
h ( x ) = - x + 1
To find : h ( 0 ) = ?
h ( 0 )
= - ( 0 ) + 1
= 1
Answer: 1
Step-by-step explanation:
h(x) = -x + 1
To Find = h(0)
= -(0) + 1
= 1
Answered by GauthMath if you like pls heart it and comment thanks
PLSPLS HELP MEMEMEME
Answer:
Perimeter = 25
Step-by-step explanation:
J(-2, 5)
K(1, 1)
L(1, -1)
M(-5, -4)
N(-5, 1)
Formula for distance between 2 coordinates is;
d = √((x_2 - x_1)² + (y_2 - y_1)²)
Thus;
JK = √((1 - (-2))² + (1 - 5)²)
JK = √25
JK = 5
KL = √((1 - 1)² + (-4 - 1)²)
KL = √25
KL = 5
LM = √((-5 - (-1))² + (-4 - (-1))²)
LM = 5
MN = √((-5 - (-5))² + (1 - (-4))²)
MN = 5
JN = √((-5 - (-2))² + (1 - 5))²)
JN = 5
Thus;
Perimeter = 5 + 5 + 5 + 5 + 5
Perimeter = 25
-2\tfrac{1}{2}-\Big(-4\tfrac{3}{5}\Big)
−2 /2/1 −(−4 3/5)
The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
−2 /2/1 −(−4 3/5)
Express properly
So, we have the following representation
-2 1/2 - (-4 3/5)
Remove the brackets
This gives
-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5
Express the denominator as 10
So, we have
-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10
Evaluate the difference
-2 1/2 - (-4 3/5) = 2 1/10
Hence, the solution is 2 1/10
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The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one time membership fee. The cost, G, is measured in dollars for m months. 1. Find the value of G(6).
Answer:
386.75
Step-by-step explanation:
added in the picture
The cost of joining the gym for 6 months is 386.75.
Given,
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.
The cost, G, is measured in dollars for m months.
We need to find the value of G(6).
Here,
The one-time membership = 89.75.
Now,
Putting m = 6 months in:
G(m) = 49.5m + 89.75
G(6) = 49.5 x 6 + 89.75
= 297 + 89.75
= 386.75
Thus the cost of joining the gym for 6 months is G(6) = 386.75.
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4. Leo is taking an algebra test containing computation problems worth
5 points each and application problems worth 8 points each. Leo
needs to score at least 83 points on the test to maintain his B average.
Let c represent the number of computation problems he answers
correctly and a represent the number of application problems he
answers correctly. Write an inequality to represent the constraint.
The inequality that represents the constraint faced by Leo in needing to score at least 83 points is 5 c + 8 a ≥ 83.
How to find the inequality ?Let's first find the total number of computation and application problems that Leo needs to answer correctly to score at least 83 points on the test.
Let c be the number of computation problems that Leo answers correctly, and let a be the number of application problems that he answers correctly.
Total points is therefore :
= 5 c + 8 a
To maintain his B average, Leo needs to score at least 83 points on the test. Therefore, we can add the inequality part to make it:
5 c + 8 a ≥ 83
This shows that Leo needs to score either 83 points or above that in the test.
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Apply the distributuve property to factor out the greatest commmon facto 32+
44
Answer:
4 (8+11)
Step-by-step explanation:
Found the greatest common factor: 4
Divided booth by it
32/4 + 44/4
8 + 11
4 (8+11)
Stuck on this question pls help
For the triangle m/1+m/2+m/3 = 180° is condition satisfices so option B is correct
What is triangle?
A triangle is a two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry, and is often used in mathematics and other fields to represent or analyze a wide range of concepts. The three sides of a triangle may be of different lengths, or they may be equal (in which case the triangle is called an equilateral triangle). The angles of a triangle may also be of different measures, and are often denoted by Greek letters such as alpha (α), beta (β), and gamma (γ). Triangles are used in many applications, such as to calculate distances, areas, and angles in real-world scenarios, or to analyze patterns and structures in abstract mathematical contexts.
According to the question:
The equation that shows the relationship between the angles in the triangle is:
m/1+m/2+m/3 = 180°
This equation states that the sum of the measures of the three angles in a triangle is equal to 180 degrees. The variables m/1, m/2, and m/3 represent the measures of the three angles in the triangle, and the sum of these measures is equal to 180 degrees.
So option B is correct .
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The sum of a number and its reciprocal is 41/20. Find the numbers. smaller value larger value
Answer:
The numbers are 5/4 and 4/5The smaller value is 4/5The larger value is 5/4Step-by-step explanation:
Let the number be x.
The reciprocal of the number will be 1/x
If the sum of the number and its reciprocal is 41/20, this can be represented as;
\(x+\frac{1}{x} = 41/20\\\frac{x^{2}+1}{x} = \frac{41}{20} \\20x^{2} +20 = 41x\\20x^{2} -41x+20 = 0\\\)
Uisng the general formula to get x
x = -b±√b²+4ac/2a
x = 41±√41²-4(20)(20)/2(20)
x = 41±√1681-1600/40
x = 41±√81/40
x = 41±9/40
x = 50/40 or 32/40
x = 5/4 or 4/5
if the value is 5/4, the other value will be 4/5
The numbers are 5/4 and 4/5
The smaller value is 4/5
The larger value is 5/4
Answer:
a=5/4 or 4/5
Therefore, the smaller value = 4/5
The larger value = 5/4
Step-by-step explanation:
Let the number be represented by a
And it's reciprocal be represented by 1/a
So we have
a + 1/a = 41/20
Cross Multiply
20( a +1/a) = 41
20a +20/a =41
Find the LCM which is a
20a² + 20 = 41a
20a² + 20 - 41a =0
20a² - 41a +20 = 0
20a²-25a - 16a + 20 =0
5a(4a - 5) -4( 4a - 5) = 0
(5a - 4)(4a - 5) = 0
5a - 4 = 0
5a = 4
a = 4/5
or
4a - 5 = 0
4a =5
a = 5/4
Therefore, the number which is represented by a is
1) a = 4/5 while it's reciprocal which is 1/a is 5/4
or
2) a = 5/4 which it's reciprocal which is 1/a = 4/5
Therefore, the smaller value = 4/5
The larger value = 5/4
For the polynomial below, -3 and -1 are zeros.
g(x)=x² +6x³
+9x²-2x-6
Express g (x) as a product of linear factors.
The complete factorization of the polynomial is:
h(x) = (x - 3)*(x - 1)*(x + 2)
Here we have the polynomial:
g(x)= x³ - 2x² - 5x + 6
And we know that x = 3 is a zero, then (x - 3) is a factor.
So if f(x) = a*x² + b*x + c
We can write:
h(x) = (x - 3)*f(x)
Let's find f(x).
Expanding that:
x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)
x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c
x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c
Comparing like terms, we can see that:
a = 1
b - 3 a = -2
c - 3b = -5
-3c = 6
With the first and last equation we can get:
a = 1
c = 6/-3 = -2
Now with one of these values and the second or third equation we can find the value of b.
b - 3 a = -2
b - 3*1 = -2
b - 3 = -2
b = -2 + 3 = 1
Then:
f(x) = x² + x - 2
The zeros of this quadratic function are given by:
x = -1±3 / 2
so, we get,
x = (-1 + 3)/2 = 1
x = (-1 - 3)/2 = -2
Then we can factorize this as:
f(x) = (x - 1)*(x + 2)
And then we can write h(x) as:
h(x) = (x - 3)*(x - 1)*(x + 2)
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complete question:
For the polynomial below, 3 is a zero.
g(x)= x³ - 2x² - 5x + 6
Express g (x) as a product of linear factors.
6. 1350 = 5 = find the quotient
Answer:
this question is of high school or collage