It costs $3.15 for a pack of 15 pencils.Find the unit price in dollars per pencil.If necessary, round your answer to the nearest cent.
HELP PLEASE!
A manufacturer uses a mold to make a part in the shape of a triangular prism The dimensions of this part are shown below.
which estimate is closest to the volume in cubic millimeters of the part
306
768
1,008
2,016
The Volume of the triangular prism is 124.74 cubic mm.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.
Given:
Base of the triangle (b) = 12.3 mm
Height of the triangle (h) = 8.2 mm
Length of the prism (l) = 20.5 mm
So, the volume of the triangular prism formula:
= 1/2 x b x h x l
= 1/2 x 14.4 x 2.1 x 8.25
= 7.2 x 2.1 x8.25
= 124.74 cubic mm.
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A single die is rolled twice. find the probability of rolling an odd number and a number greater than 4 in either order.
The probability of rolling an odd number and a number greater than 4 in either order is 1/6.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, a single die is rolled twice,
∴ The 36 outcomes are
(1,1),(1,2)...(1,6),(2,1)...(2,6),(3,1)...(3,6),(4,1)...(4,6)...(5,1)...(5,6)...(6,1)...(6,6).
So, N(S) = 36.
The no of favorable outcomes N(F) an odd number and a number greater than 4 in either order are [{(1,5),(1,6),(3,5)(3,6),(5,5),(5,6)} as given they can occur in either order so (1,5) and (5,1) are one combined.
∴ N(F) = 6.
So, The probability P(F) of rolling an odd number and a number greater than 4 in either order is,
P(F) = N(F)/N(S).
P(F) = 6/36.
P(F) = 1/6.
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The probability of rolling an odd number and a number greater than 4 in either order when a single die is rolled twice is 1/18.
To find the probability of rolling an odd number and a number greater than 4 in either order when a single die is rolled twice, we need to first identify the possible outcomes. The odd numbers on a die are 1, 3, and 5. Since we are also looking for a number greater than 4, the only possible outcomes that meet both conditions are 5 and 6.
When the die is rolled twice, there are 6 x 6 = 36 possible outcomes. There are two favorable ways to achieve the goal: Roll a 5 (odd) first and then a 6 (greater than 4), or roll a 6 first and then a 5. Thus, there are two successful outcomes: (5, 6) and (6, 5). The probability of each individual outcome is 1/36, so the combined probability is 2/36, which simplifies to 1/18.
Therefore, the probability of rolling an odd number and a number greater than 4 in either order with a single die rolled twice is 1/18.
30 Points! Please Help!
Please explain your answer.
What is 43.29 rounded to the nearest 10th
A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area of the kite.
Height of the kite is = 36 inches.
Width of the kite is = 30 inches
One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .
Now we will use the formula [tex]area=\frac{1}{2}*base*height[/tex] to find the area of each triangle. Then we will add both the areas to find the area of the kite.
Area of 1 triangle = [tex]\frac{1}{2}*36*15[/tex] = 270 square inches
Area of the 2nd triangle is also = 270 square inches
Hence, area of the kite = 270+270 = 540 square inches
The area of the kite is 540 square inches
The dimension of the rectangle is given as:
Height = 36 inches. Width = 30 inches
The area of the kite is then calculated using:
[tex]Area = \frac 12 \times (Height \times Width)[/tex]
Substitute values for Height and Width
[tex]Area = \frac 12 \times (36 \times 30)[/tex]
Evaluate the expression in bracket
[tex]Area = \frac 12 \times 1080[/tex]
Evaluate the product
[tex]Area = 540[/tex]
Hence, the area of the kite is 540 square inches
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draw and label an example of two parallel lines that are perpendicular to a third line.
What is 60% of 60? need help with this one can some one show me how to do it?
Write an expression to represent: The sum of ten and the quotient of a number x and 6.
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
A) π
B) 11π
C) 5π
D) 11/45π,
if mnp has vertices at m (-5,-7) , N (7,-2) andcp (2,10) is mnp isoscles?
A store has 20% off sale on coats.With this discount, the price of one coat is 34.50 Whats the price of the coat?
write the resulting function if the transformation f(x+3)+9 is applied on the function f(x)=x^2+1
a) x^2+13
b)x^2+19
c)x^2+6x+19
d)x^2+3x+13
Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates over the next several months. Drake is planning to take the class 6 weeks from now, so he plans to save $125 each week. Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options: Option A: Stay with saving the original amount each week but take the class a week later than originally planned. Option B: Increase the amount of money he saves each week by $15 from his original plan. Which of the following is a true statement? a. Only option A will allow him to meet his goal. b. Only option B will allow him to meet his goal. c. Both options A and B will allow him to meet his goal. d. Neither option A nor option B will allow him to meet his goal.
answer- C
total money required = 750
total money saved = 470
weeks left = 2
money earned in each week = 125
money earned in 2 weeks = 250
470 + 250 = 720( so, drake is short of 30 )
option A- by postponing the classes for 1 week, he will earn 125 more, so it is an option to meet his goal as 125>30
option B- by increasing the savings by 15 for two weeks, he will save 30 more which is the amount drake needs. so , it is also a good option
PLEASE HELP ASSSAAAPPPPP
Which function represents a line with a slope of −4 and a y-intercept of −2?
A) y = 4x − 2
B) y = −4x + 2
C) y = −4x − 2
D) y = −2x − 4
Answer:
C) [tex]y = -4x - 2[/tex]
Step-by-step explanation:
The general equation of a line in the xy plane is as follows:
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the intercept with the y axis.
In this case we want a line with a slope of -4, therefore:
[tex]m = -4[/tex]
and we also want a y-intercept of -2, so:
[tex]b = -2[/tex]
Substituting in the general equation of the straight line:
[tex]y = mx + b[/tex]
⇒[tex]y = -4x-2[/tex]
wich is option C
Choose the correct simplification of the expression (a2)3. a5 a8 a a6
Answer:
The correct answer is A to the 6th power, A^6
Step-by-step explanation:
First, apply the exponent rule. (a^b)^c = a^bc
You would get a^2*3 (* means times) (^ means to the power)
Second refine.
You would get A^6.
The answer is A^6.
Simplify (6x^2+11x-3) + (2x^2-17x-4)
What two numbers add to 2 and multiply to -14
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and n - 2 = 2d - 4
5n = 3d and 2n - 4 = d - 2
3n = 5d and 2n - 4 = d - 2
Answer:
A 5n=3d and n-2=2d-4
Step-by-step explanation:
X^2/ 100 + Y^2/ 25 =1
(x squared over 100 plus y squared over 25 equals 1)
The y-intercepts are at:
(-10, 0) and (10, 0)
(0, 10) and (0, 5)
(0, -5) and (0, 5)
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Algebra 2!..!!!! please help
PLEASE ANSWER
This graph shows a portion of an odd function. Use the graph to complete the table of values.
Answer:
The complete table is shown below.
Step-by-step explanation:
The given function be represented by f(x).
Since, the function f(x) is an odd function.
So, [tex]f(-x)=-f(x)[/tex].
On substituting the values of x, we get,
[tex]f(-2)=-f(2)=-2[/tex]
[tex]f(-3)=-f(3)=-1[/tex]
[tex]f(-4)=-f(4)=-2[/tex]
[tex]f(-6)=-f(6)=-3[/tex]
Thus, the corresponding table is given by,
x f(x)
-2 -2
-3 -1
-4 -2
-6 -3
Answer:
x f(x)
-2 -2
-3 -1
-4 -2
-6 -3
Step-by-step explanation:
edge 2020
The elevator in the Empire State Building can pass 80 floors in 45 seconds. How many floors can it pass in 9 seconds?
f(x) = 2x2 – 4x – 3
0 = 2x2 – 4x – 3
3 = 2(x2 – 2x)
3 + 1 = 2(x2 – 2x + 1)
4 = 2(x – 1)2
2 = (x – 1)2
± = x – 1
1 ± = x
Mica is solving for the zeros of a quadratic function by completing the square. Her work is shown. What error did Mica make?
ANSWER CHOICES
Mica should have set each x = 0 instead of f(x).
Mica should have added 2 to 3 instead of 1.
Mica should have multiplied both sides by 2 instead of dividing.
Mica should have subtracted 1 from both sides instead of adding.
Answer:
Mica should have added 2 to 3 instead of 1.
Step-by-step explanation:
f(x) = 2x^2 – 4x – 3
0 = 2x^2 – 4x – 3
Mica added 3 on boths sides and factored out 2
3 = 2(x^2 – 2x)
We have 2 outside the parenthesis , so we multiply 1 with 2 and add it one left side
3 + 1 = 2(x^2 – 2x + 1) Error in this step
The above step becomes 3 + 2 = 2(x^2 – 2x + 1)
Mica should have added 2 to 3 instead of 1.
ASAP PLEASE:
Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.
The result of rounding the whole number 53,679,012 to the nearest millions place is: 53,000,000. 50,000,000. 53,600,000. 54,000,000.
Final answer:
The number 53,679,012 rounded to the nearest million is 54,000,000. The digit in the hundred thousands place determines whether to round up or down. In this case, since it's a 6 (which is >= 5), we round up.
Explanation:
Rounding Whole Numbers to the Nearest Million
To round the whole number 53,679,012 to the nearest million, we need to look at the digit in the hundred thousands place, which is 6. Since this digit is 5 or greater, we round up. Therefore, we increase the digit in the millions place by one, giving us 54,000,000 as the rounded number to the nearest million.
For example, consider another number like 52,700,000. Using the same rounding principle, since the digit in the hundred thousands place is 7, which is greater than 5, we would round up to 53,000,000.
When rounding large numbers, the key is to look at the digit immediately to the right of the place value you are rounding to. If this digit is 5 or higher, you round up, and if it is 4 or lower, you round down.
The circle above has a radius of 9 cm. What is the area of the circle?
(Use PI = 3.14)
Sean has $65 to spend on CDs. If each CD costs $6.98, about how many CDs can he buy?
Answer:
9 (did it on college board)
Step-by-step explanation: