Answer:
it is correct
Step-by-step explanation:
trust ur gut
Answer:
you have to correct answer
Step-by-step explanation:
just convert the square roots and fractions to whole numbers and then put them from least to greatest
Tell what bills & coins Santa should receive in change (see $12.07) if the clerk gives Santa the fewest possible of each.
Given the word problem, we can deduce the following information:
1. The total amount is $12.07.
To determine the bills and coins equal to $12.07, we must follow the steps below:
Total = $12.07
So,
We subtract $10 bill since it is the largest bill not larger than the total ($12.07):
$12.07-$10.00= $2.07
We subtract $1.00 since it is the largest bill not larger than the total ($2.07):
$2.07-$1.00= $1.07
We subtract $1.00 since it is the largest bill not larger than the total ($1.07):
$1.07 -$1.00=$0.07
We subtract $0.05(Nickle) since it is the largest bill not larger than the total ($0.07):
$0.07-$0.05= $0.02
We subtract $0.01 (Dime) since it is the largest bill not larger than the total ($0.02):
$0.02-$0.01=$0.01
We subtract $0.01 (Dime) since it is the largest bill not larger than the total ($0.01):
$0.01-$0.01 =0
Therefore, the bills and coins are:
$10 bill =1
$1.00 bill =2
$0.05(Nickle) =1
$0.01 (Dime)=2
55% of what number is 33?
Answer:
18.15
Step-by-step explanation:
55% = 55/100
33 = 33/1
33/1 x 55/100
33 x 55 = 1815
1 x 100 = 100
1815/100 = 18.15
A bag of 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. what is the ratio of the number of blue marbles to the number of marbles that are orange or green?
The ratio of the number of blue marbles to the number of marbles that are orange or green is 1 : 3.
Ratio is defined as the relationship between two quantities. It can be expressed as a to b, a/b, or a : b.
Let a = total number of blue marbles
b = total number of orange and green marbles
If the total number of blue marbles is 5 and the total number of orange and green marbles are 9 and 6, respectively, then the ratio is 5 to (9 + 6).
Simplify the ratio.
5 : (9 + 6) = 5 : 15 = 1 : 3
Hence, the ratio is 1:3.
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The teacher is handing out note cards to her students. She gave 48 note cards to the first student, 54 note cards to the second student, 60 note cards to the third student, 66 note cards to the fourth student, and 72 note cards to the fifth student. If this pattern continues, how many note cards will the teacher give to the sixth student?
Answer:
She will give 78 students to the sixth student.
Step-by-step explanation:
The pattern is adding 6 each time.
Can someone please help me I’m stuck I don’t know what to do
Answer: its the 2nd one
Step-by-step explanation:
The value of (x-a)³+(x-b)³+(x-c)³-3(x-a)(x-b)(x-c) when a+b+c=3x is:
a) 1
b) 2
c) 3
d) 0
Given expression is (x-a)³+(x-b)³+(x-c)³-3(x-a)(x-b)(x-c)
We know that,
(a+b+c)³ = a³ + b³ + c³ + 3(a+b)(b+c)(c+a) ------------(i)
Expanding (a+b+c)³, we get
a³ + b³ + c³ + 3(a²b+a²c+b²a+b²c+c²a+c²b) + 6abc
Given a+b+c=3x, substituting in above equation, we get
a³ + b³ + c³ + 9(ab+bc+ca) - 6abc = 27x³ ------------(ii)
Now, expanding given expression, we get
(x-a)³+(x-b)³+(x-c)³-3(x-a)(x-b)(x-c)
x³ - 3x²(a+b+c) + 3x(ab+bc+ca) - (a³+b³+c³-3abc)
Given a+b+c=3x, substituting in above equation, we get
x³ - 9x³ + 9x³ - (a³+b³+c³-3abc)
= -8x³ + (a³+b³+c³+3abc)
Now, using equation (ii), we get
-8x³ + 27x³ - 3(a³+b³+c³-3abc)
= 19x³ + 9abc
Therefore, the given expression is equal to 19x³ + 9abc.
Given a+b+c=3x, we have abc ≤ x³. Hence, the minimum value of 9abc is 9x³.
Substituting this value in above equation, we get
19x³ + 9abc ≥ 19x³ + 9x³ = 28x³
Therefore, the minimum value of given expression is 28x³.
Hence, the correct answer is d) 0.
In the diagram below of right triangle ABC, CD is
the altitude to hypotenuse AB, CB = 6, and AD = 5.
C
A
5
What is the length of BD?
1) 5
2) 9
3) 3
4) 4
The volume of the prism is determined as 120 in³.
What is the volume of the triangular prism?The volume of the triangular prism is calculated by applying the following formula as shown below;
V = ¹/₂bhl
where;
b is the base of the prismh is the height of the priml is the length of the prismThe volume of the prism is calculated as follows;
V = ¹/₂ x 6 in x 4 in x 10 in
V = 120 in³
,
Thus, the volume of the prism is a function of its base, height and length.
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pls help asap will give brainliest
Answer:
270.5
Step-by-step explanation:
*sigh* here we go again ok
separate it into a rectangle and semicircle
12*16=192
circle is pi(r)^2/2 so
5^2=25
25*3.14=78.5
78.5+192=270.5
1= 452 = 6x + 153= 2x + 5
Answer:
Your answer is 8x+607
Step-by-step explanation:
Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places.
Answer:
9.46 ft
Step-by-step explanation:
Law of sines
10/sin(90)=x/sin(71)
x=(sin(71)*10)/sin(90)
x=9.46
what is 0.4 × 0.7 in area of the shaded part of the grid
Answer:
I think the answer is 0.28
Consider the parabola y = 4x - x2. Find the slope of the tangent line to the parabola at the point (1, 3). Find an equation of the tangent line in part (a).
The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line. we must first calculate the derivative of the given equation.
We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).
We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.
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Tayon wants to run a total of 16 miles this week. He has already run 5 miles. What percent of his goal has he finished?
Answer: the answer is 31.25%
Step-by-step explanation:
Divide 5 by 16, which is 0.3125. The you take that number and multiply it by 100: 0.3125 * 100= 31.25. So there for the answer is 31.25%
The percent of his goal he has finished is 31.25%.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We need to calculate percentage here.
We have been given total distance and we have also been given the distance covered.
We have to find the percentage of his goal covered.
For this, we need his goal which is 16 miles and we know the goal covered by him which is 5 miles.
To find the percentage, we have to divide these both and multiply by 100.
Percentage of goal covered = Goal covered/total goal *100
= 5/16 * 100
= 31.25%
The percent of his goal is 31.25%.
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three light bulbs are selected at random from a group of 15 good ones and 9 defective ones. find the probability that:
Answer:
Step-by-step explanation: I hypothesize
that I'm going to choose a defective light bulb
Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?
the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.
Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.
The ODEs for the transition probabilities can be written as follows:
dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)
dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)
dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)
dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)
dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)
dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)
where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.
Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.
To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.
The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:
total_rate = q₁₂ + q₁₃
Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:
P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate
In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.
Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
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Tell whether the table of values represents a
linear function, an exponential function, or a quadratic function.
Please help
Exponential Function.
Plotting the graph using this table gives the first figure. An exponential function has this kind of graph.
If two angles of a triangle measure 20 and 130 degrees, what is the measure of the third angle?
A.) 40°
B.) 50°
C.) 30°
D.) 60°
Answer:
c.) 30 degrees
Step-by-step explanation:
the sum of the angles of a triangle is 180 degrees
so if the third angle was x
then
x=180-(20+130)
x=180-150
x=30 degrees
The measure of third angle is 30 degree.
What is Angle Sum property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.
Given:
Two angles are 20 and 130.
Using Angle sum property of triangle
<1 + <2 + <3 = 180
20+ 130 + <3= 180
150 + <3 = 180
<3 = 180- 150
<3 = 30
Hence, the third angle is 30 degree.
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find an equation of a plane containing the line r = (-3,-3,-5) + t (-9,2,-1) which is parallel to the plane -1x-5y-1z =18 in which the coefficient of x is -1
The equation of the plane is -x - 5y - z = 23.
The given plane has a normal vector of (-1,-5,-1). We want our plane to be parallel to this plane, so its normal vector must be parallel to (-1,-5,-1). Let's use (1,5,1) as the normal vector for the plane we want.
To make this vector parallel to (-1,-5,-1), we just need to change the sign of the x-component.
The line r = (-3,-3,-5) + t(-9,2,-1) passes through the point (-3,-3,-5) on the plane we want. So, we can use this point as a point on the plane.
To find an equation of the plane, we can use the point-normal form of the equation of a plane. The equation of the plane is:
(1)(x - (-3)) + (5)(y - (-3)) + (1)(z - (-5)) = 0
Simplifying, we get:
x + 5y + z + 23 = 0
Therefore, an equation of the plane containing the given line, which is parallel to the plane -x-5y-z=23 and has a normal vector of (1,5,1), is x + 5y + z + 23 = 0.
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i need help because i dont understand it
Answer:
6,371.15
Step-by-step explanation:
3.14 times 13^2 times 12
Answer:
Volume equals pi times radius to the power of 2 times height
that will be pi times 13^2 times 12= 6,367.92
radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92
Step-by-step explanation:
Please help me find the value and the kind of angel this is?
Answer: the only line crossed is called a transversal line. x +3 would be vertically opposite to the other angle,and 2x-61 would also be vertically opposite. if you look at alternate and corresponding angles you would find the exact answer. this angle does not have a kind i guess.
hope it helps you!!!
Step-by-step explanation:
The number of laps Katie ran was 2:3.If Louis ran 4 miles, how far did katie run?
Answer ran 2 3/4 miles in 1/3 of an hour
2 3/4 miles =11/4 miles in 1/3 of hour
11/4 miles divided by 1/3 hr
11/4 ÷ 1/3
11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr
Please help I'm so stressed over this math ok here it is It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.
Answer:
12.50 + 1.50x < 35
Step-by-step explanation:
X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.
On the Math SAT, men have a distinct edge. In 2005, for instance, the men averaged about 538, and the women averaged about 504. You may assume (i) the histograms followed the normal curve, and (ii) both SDs were about 120. Estimate the percentage of men getting over 700 on this test in 2005.
The percentage of men getting over 700 on this test in 2005 is 8.85%.
How to calculate the value?It should be noted that based on the information illustrated, the percentage will be calculated thus:
= P(X - 538/120) > (700 - 538/120)
= P(Z > 1.35)
= 1 - P(Z <= 1.35)
Using normal table
= 1 - 0.9115
= 0.0885
Therefore, the percentage of men getting over 700 on this test in 2005 is 8.85%.
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I have no idea what I am doing
Answer:
I have no idea either
Step-by-step explanation:
Simplify 9 ^ 3/2 - 25 ^ 1/2
9514 1404 393
Answer:
as written: 352as perhaps intended: 22Step-by-step explanation:
When you ask for evaluation of a math expression, you need to write what you mean.
Here, the order of operations requires you compute the exponentials before you do the division or addition:
9 ^ 3/2 - 25 ^ 1/2 = (9^3)/2 -(25^1)/2
= 729/2 -25/2 = 364.5 -12.5 = 352
__
It seems quite likely that you intend the exponents to be 3/2 and 1/2. In that case, parentheses are required.
9 ^ (3/2) - 25 ^ (1/2) = 27 -5 = 22
_____
Your calculator can evaluate arithmetic expressions for you.
At Ice Skating Palace skates and safety equipment cost $3.50 per hour. If you have your own shoes, the safety equipment is $1.50 per hour. Your friend is selling used skates for $40, or you can rent some. Either way, you must rent safety equipment. How many hours must you skate for the cost of renting and buying to be the same?
The number of hours must you skate for the cost of renting and buying to be the same is 20 hours
Let x represent the number of hours
Hence:
40+1.50x=3.50x
Subtract 1.50x from both side
2x=40
Divide both side by 2
x=40/2
x=20
Inconclu sion The number of hours must you skate for the cost of renting and buying to be the same is 20 hours
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Which expression is equivalent to the given expression?
8^6
Answer:
√384
Step-by-step explanation:
√384 is equivalent to 8√6
Which of the following shows why the commutative property doesn't work under subtraction?
A. 5 – 1 ≠ 1 – 5
B. 5 – 1 ≠ 5 – 1
C. 3 + 2 ≠ 2 + 3
D. 5 + 1 = 7 – 1
The correct option is A) 5 – 1 ≠ 1 – 5 shows why the commutative property doesn't work under subtraction
The commutative property works for addition and multiplication. It says that when adding or multiplying, you can switch the order of the numbers around and still get the same answer.
For instance, in simple terms, the commutative property of addition states that changing the order of the addends will not change the sum. That is, a + b = b + a.
Similarly, the commutative property of multiplication states that changing the order of the factors will not change the product. That is, a × b = b × a.
However, the commutative property does not work for subtraction and division. You cannot change the order of numbers around and still get the same answer when you're subtracting or dividing. In other words, the order of the numbers matters in these cases.
That is, a - b ≠ b - a; a / b ≠ b / a.Here, the options C and D are not valid since they both represent addition operations, whereas the question demands subtraction. Between options A and B, A represents the subtraction operation and the result for this option is not the same as the result for the reverse subtraction operation which is why A is the right option.
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Let sin(60)=√3/2 Enter the angle measure (0), in degrees, for cos(0)= √3/2
There is no angle (0) in degrees that answers the preceding equation since cos(0) = 3/2 is illogical.
what is trigonometric ratios ?To determine the angles of a right triangle, trigonometric ratios are ratios of the side lengths of the triangle. Sine (sin), cosine (cos), and tangent (tan) are the three fundamental trigonometric ratios, and their definitions are as follows:
Sine: The length of the angle's opposite side divided by the length of the hypotenuse is known as the sine of the angle.
Cosine: The length of the neighbouring side divided by the length of the hypotenuse is the angle's cosine value.
Angle's tangent is determined by dividing the length of the adjacent side by the length of the opposite side.
These ratios can be used to discover missing side lengths in right triangles and other situations with right triangles.
given
The number one is the value of cos(0).
There is no angle (0) in degrees that answers the preceding equation since cos(0) = 3/2 is illogical.
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Q9) Rashmi obtains 480 marks out of 600. Rajan obtains 560 marks out of 700. Whose performance is better?
Answer:
Step-by-step explanation:
Let us first make the denominators equal, so
600 x 700 = 420000
\(\frac{480}{600} * \frac{700}{700} \\\\= \frac{336000}{420000}\)
Similarly,
\(\frac{560}{700} * \frac{600}{600} = \frac{336000}{420000}\)
By comparison, both of them are equal.
Hope It Helps!