Which is a composite number? 81,41,71,61
Answer:
81
hope this helps:)
Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me
Answer:
18
Step-by-step explanation:
We can rewrite the question into mathematical forms, such as:
\(\frac{3}{1} =\frac{x}{6}\)
solve for x:
\(\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x\)
differentiate the following function f(x)=2x3 6x-1/x 3ex-sin(x)
The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)
How to differentiate the functionfrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)
The derivative of the functions can be calculated using the first principle which states that
if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹
Using the above as a guide, we have the following:
f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)
Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)
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20 points!!!! Given the regular hexagon, find the measure of each numbered angle.
m21 = 30°, m2 2 = 60°, m 23 = 30°
m2 1 =m22=m3 = 60°
m21 = 60°, m 2 2 = 30°, m 23= 60°
m 21 = 60°, m 22= 30°, m 23 = 30°
Answer:
C, m angle 1 = 60°, m angle 2 = 30°, m angle 3= 60°
Step-by-step explanation:
Each of the 6 triangles in the hexagon are equilateral, meaning that each angle is 60 degrees (180 degrees in a triangle / 3).
help please !!!!!!!!!!!!!!
Answer:
two of the points are (0,5) and (2.5,0)
Answer:
Place one dot at y = 5 x = 0. This represents the y intercept or the "5" in the equation.
Then place dots at:
(-3,10)
(-2,9)
(-1,7)
(1,3)
(2,1)
(3,-1)
(4,-3)
(5, -5)
(6, -7)
(7, -9)
The slope is -2x which makes the line slope downward, and the points above are the points on the line. Starting at the y intercept we can use the rise over run method to plot the points.
I hope this helps!!
- Kay :)
Solve for x and y 60° 15°
Answer:
y = 4x hope this Helps!
Step-by-step explanation:
y = kx
k = y/x = 60/15 = 4
y = 4x
Manuel wants to earn at least $44 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible numbers of hours Manuel could trim trees? Use (t) for the number of hours. Write your answer as an inequality solved for (t).
Given:
Manuel wants to earn at least $44 trimming trees.
He charges $6 per hour and pays $4 in equipment fees.
To find:
The possible numbers of hours Manuel could trim trees.
Solution:
Let t be the numbers of hours Manuel could trim trees.
Earnings of Manuel in one hour = $6
Earnings of Manuel in t hour = $6t
He pays $4 in equipment fees. So, we will subtract this from the income.
\(\text{Total earnings}=6t-4\)
Manuel wants to earn at least $44 trimming trees. It means, total earnings must be greater than or equal to 44.
\(6t-4\geq 44\)
\(6t\geq 44+4\)
\(6t\geq 48\)
Divide both sides by 6.
\(t\geq \dfrac{48}{6}\)
\(t\geq 8\)
Therefore, the required number of hours must be greater than or equal to 8 hours.
Find the acute angle between the intersecting lines x=3t, y=8t,z=-4t and x=2-4t,y=19+3t, z=8t.
The acute angle between the intersecting lines x = 3t, y = 8t, z = -4t and x = 2 - 4t, y = 19 + 3t, z = 8t is 81.33 degrees and can be calculated using the formula θ = cos⁻¹((a · b) / (|a| × |b|)).
First, we need to find the direction vectors of both lines, which can be calculated by subtracting the initial point from the final point. For the first line, the direction vector is given by `<3, 8, -4>`. Similarly, for the second line, the direction vector is `<-4, 3, 8>`. Next, we need to find the dot product of the two direction vectors by multiplying their corresponding components and adding them up.
`a · b = (3)(-4) + (8)(3) + (-4)(8) = -12 + 24 - 32 = -20`.
Then, we need to find the magnitudes of both direction vectors using the formula `|a| = sqrt(a₁² + a₂² + a₃²)`. Thus, `|a| = sqrt(3² + 8² + (-4)²) = sqrt(89)` and `|b| = sqrt((-4)² + 3² + 8²) = sqrt(89)`. Finally, we can substitute these values into the formula θ = cos⁻¹((a · b) / (|a| × |b|)) and simplify. Thus,
`θ = cos⁻¹(-20 / (sqrt(89) × sqrt(89))) = cos⁻¹(-20 / 89)`.
Using a calculator, we find that this is approximately equal to 98.67 degrees. However, we want the acute angle between the two lines, so we take the complementary angle, which is 180 degrees minus 98.67 degrees, giving us approximately 81.33 degrees. Therefore, the acute angle between the two intersecting lines is 81.33 degrees.
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Christopher is thinking of two positive integers. The sum of the integers is 27. When twice the first integer is added to half of the second integer, the sum is 24. Find the integers.
Answer:
Let x and y be the two positive integers the Christopher is thinking.
x is equal to 7
and y =20
The two positive integers are 7 and 20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the sum of the integers is 27.
Let the two integers be x and y.
Now, x+y=27 -------(i)
When twice the first integer is added to half of the second integer, the sum is 24.
2x+y/2 = 24
4x+y=48 -------(ii)
From equation (i), x=27-y in equation (ii), we get
4(27-y)+y=48
108-4y+y=48
108-3y=48
3y=60
y=20
Substitute y=20 in equation (i), we get
x=7
Therefore, the two positive integers are 7 and 20.
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If 1 kg of milk had 0.264 kg of fat, then find the amount fat in 12.5 kg of milk.
1 kg--> 0.264 kg fat
:. 12.5 kg--> (0.264*12.5) 3.3 kg fat
Mark me brainliesttt :))
in looking at a scatterplot of interrater reliability, why would a researcher want to see all the dots close to the line of agreement?
In looking at a scatter plot of inter-rater reliability, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.
What is inter-rater reliability?Inter-rater reliability refers to the degree to which different raters or observers agree on their judgements or evaluations of a particular behavior, characteristic, or event. It is a measure of consistency between the observations of two or more raters. Inter-rater reliability is important because it ensures that the results obtained from the research are valid and reliable, which means that they are accurate and can be trusted.
In a scatterplot of interrater reliability, the dots represent the ratings or observations made by different raters. The line of agreement is a straight line that represents perfect agreement between the raters, i.e., all the raters make the same rating. If all the dots are close to the line of agreement, it means that the raters are in close agreement with each other, and there is a high level of inter-rater reliability.
If the dots are scattered far from the line of agreement, it means that the raters are not in agreement with each other, and there is a low level of inter-rater reliability. Thus, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.
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What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2
Answer: The only force on it is its weight, w=9800N
Step-by-step explanation:
In comparison 1/3to where would 3/9be
located on a number line
A
closer to o
В.
the same point
C.
closer to 1
D
At 0
In comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
It is given that:
In comparison 1/3 to where would 3/9 be located on a number line
As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
1/3 = 0.333
3/9 = 1/3 = 0.333
If we plot the above fractions on a number line we will see these two fractions are on the same point.
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Thus, in comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.
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If you are using Cosine and need to solve for an unknown hypotenuse, you should...
a) multiply cos(angle) by the adjacent side
b) divide the adjacent side by cos(angle)
c) add all three angle measures
d) add the angle and the side length
Using cosine, we can find the hypotenuse by using the formula below;
hypotenuse = adjacent / cos ∅
Trigonometric ratios:Trigonometric ratios are ratios of sides of a right angled triangle. The simplest ratios are cosine, sine and tangent.Using cosine, the hypotenuse side can be solved as follows:
cosine ∅ = adjacent / hypotenuse
cross multiply
hypotenuse cos ∅ = adjacent
divide both sides by cos ∅
hypotenuse cos ∅ / cos ∅ = adjacent / cos ∅
Therefore,
hypotenuse = adjacent / cos ∅
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If t is a number between 6 and 9, t+5 is between what two numbers?
Answer:
11 and 14
Step-by-step explanation:
t can be 7 or 8
7+5=12
8+5=13
12 and 13 are between 11 and 14
The number t + 5 is in between 11 and 14.
What is an inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two numbers or mathematical expressions."
What is addition property of inequality?" Let x, y, and z be real numbers.
If x > y, then x + z > y + z."
For given question,
t is a number between 6 and 9.
So, we have an inequality.
⇒ 6 < t < 9
By addition property of inequality,
⇒ 6 + 5 < t + 5 < 9 + 5
⇒ 11 < t + 5 < 14
Therefore, the number t + 5 is in between 11 and 14.
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The graphs below have the same shape. What is the equation of the red
graph?
A. g(x) = 1 x^2
B. g(x) = (1 - x)^2
C. g(x) = 7 - x^2
D. g(x) = (7 - x)^2
Answer:
the answer is g(x) = 1 - x²
Since the intercept of g(x) are :
for x intercept , g(x) =0 (1-x)×(1+x) =0
and for y intercept y= 1
hence then its should be g(x) = 1- x²
The equation of red graph that is g(x) = 1 - x²
Given,
f(x) = 4 - x²
g(x)
Now,
Since the intercept of g(x) are :
for x intercept , g(x) =0 (1-x)×(1+x) =0
and for y intercept y= 1
Thus the equation of graph will be :
g(x) = 1- x²
The coefficient of x² is negative which indicates that the graph is concave down in nature .
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a food truck sells 1200 burgers a week on average. the truck operates 7 days a week. (we will assume no variability from day to day.) the food truck owner of wants to be sure that the ingredients are fresh and that hamburger is not kept in the refrigerator more than 2 days on average. if each burger uses .25 pounds of hamburger, what should the maximum pounds of hamburger in the food truck be?
To ensure that the hamburger is not kept in the refrigerator for more than 2 days on average, the food truck should have a maximum of approximately 42.86 pounds of hamburger.
Given that the food truck sells an average of 1200 burgers per week, and it operates 7 days a week, we can calculate the total burgers sold per day:
Burgers per day = Total burgers per week / Number of days per week
Burgers per day = 1200 burgers / 7 days
Burgers per day ≈ 171.43 burgers
Since each burger uses 0.25 pounds of hamburger, we can calculate the maximum pounds of hamburger needed per day:
Pounds of hamburger per day = Burgers per day * Hamburger per burger
Pounds of hamburger per day = 171.43 burgers * 0.25 pounds/burger
Pounds of hamburger per day ≈ 42.86 pounds
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The maximum pounds of hamburger that should be stored in the food truck to ensure freshness and avoid exceeding 2 days on average is approximately 42.86 pounds.
To ensure that the hamburger is not kept in the refrigerator for more than 2 days on average, we need to calculate the maximum pounds of hamburger that should be stored in the food truck.
Average number of burgers sold per week = 1200
Number of operating days per week = 7
Weight of hamburger per burger = 0.25 pounds
To calculate the maximum pounds of hamburger, we can use the following formula:
Maximum pounds of hamburger = Average burgers sold per day × Number of days
First, we calculate the average number of burgers sold per day:
Average burgers sold per day = Average burgers sold per week / Number of operating days per week
Average burgers sold per day = 1200 / 7
Average burgers sold per day ≈ 171.43 (rounded to two decimal places)
Now, we can calculate the maximum pounds of hamburger:
Maximum pounds of hamburger = Average burgers sold per day × Weight of hamburger per burger
Maximum pounds of hamburger = 171.43 × 0.25
Maximum pounds of hamburger ≈ 42.86 (rounded to two decimal places)
Therefore, the maximum pounds of hamburger that should be stored in the food truck is approximately 42.86 pounds.
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How many times can u Subtract 10 form a 100?
Answer:
10 times
Step-by-step explanation:
can i get brainly
If we go through it logically, it is only 1 time.
Step-by-step explanation:
Hope this helps
In a blueprint, each square has a side length of 1/4 inch. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom? Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?
(as you can see, I already got the answer for a. I just need the answer for b.)
b.
Bedroom area
Lenght = 5 squares
= 5 × 1/4 inchi
= 5/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 5/4 × 1 inchi
= 5/4 inchi
Living room
Lenght = 7 squares
= 7 × 1/4 inchi
= 7/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 7/4 × 1 inchi
= 7/4 inchi
Total Area
Bedroom area + Living room area
= 5/4 + 7/4
= (5+7)/4 inchi
= 12/4 inchi
= 3 inchi
1 square yard = 1296 square inches
so 1 square inches = 1/1296 square yard
3 inchi = 3×1/1296
= 3/1296
= 1/432
Cost = 1/432 × $18
= $1/24
It would cost $1/24 to carpet the bedroom and living room.
At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Saturday, 134 tickets were sold for a total sales of $1063.20. How many adult
tickets were sold that day?
The number of adult tickets is 62.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of child tickets = x
Number of adults tickets = y
We can make two equations.
x + y = 134 ______(1)
x = 134 - y ______(2)
6.50x + 9.60y = 1063.20 _______(3)
Putting (2) in (3) we get,
6.50(134 - y) + 9.60y = 1063.20
871 - 6.50y + 9.60y = 1063.20
871 + 3.1y = 1063.20
3.1y = 1063.20 - 871
3.1y = 192.2
y = 192.2/3.1
y = 62
Now,
x = 134 - y
x = 134 - 62
x = 72
Thus,
72 child tickets.
62 adult tickets.
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helpppp i don’t remember how to do algebra it’s been two years hahaha
5(B + 3) = 4(B - 7) + 2B
Just not entirely sure on my answer please help will vote Brainly
Answer:
The answer is x = 43
Step-by-step explanation:
Solve for B by simplifying both sides of the equation, then isolating the variable.
hoped helped!
Brainly, please?
Answer:
B = 43
Step-by-step explanation:
1. Distribute.
5b + 15 = 4b - 28 + 2b
2. Combine like terms.
5b + 15 = 6b - 28
3. Get B on one side.
5b + 15 = 6b - 28
-5b + 28 = -5b + 28
43 = b
as we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what? group of answer choices 1/2 1/4 2 4
As we go to high numbers of segments, if we double the number of segments, the error is to be multiplied by 1/4
The inaccuracy should often reduce as we increase the number of segments in the composite rectangle rule integration. In particular, with the composite rectangle rule, we estimate the error to be roughly increased by 1/4 if the number of segments is ideally doubled.
Because of this, the composite rectangle rule's error, which is determined by the formula (b-a)/n. In the given equation, b denotes upper bound of integration, a denotes lower bound of integration, and n denotes total number of segments, which is inversely proportional to the width of the segments. The width of the segments changes to (b-a)/(2n), which is half of their initial width, when the number of segments is doubled. Thus, the mistake should be multiplied by 1/4 or split by 4.
Complete Question:
As we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what?
a. 1/2
b. 1/4
c. 2
d. 4
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y = (x + 2)(x − 3)
Find the zero of the function
Answer:
The zeros are {-2, 3}
Step-by-step explanation:
Set each of these factors equal to zero, in turn, set each factor = to 0 and solve the resulting equation for x:
x + 2 = 0 yields x = -2;
x - 3 = 0 yields x = 3
The zeros are {-2, 3}
Suppose a 7 times 8 matrix A has two pivot columns. What is dim Nul A? Is Col A R^2? why or why not? dim Nul A =____ (Simplify your answer.) Is Col A = R^2? Why or why not? A. Yes, because dim Col A rank A = 2. B. No, because Col A is a subspace of R7. C. Yes, because the number of pivot positions in A is 2. D. No, because col A is a subspace of R^8.
The dim Nul A refers to the dimension of the null space of the matrix A, which is the number of free variables in the matrix. dim Nul A = 6, and Col A ≠ R^2. The correct answer is B: No, because Col A is a subspace of R^7.
The rank-nullity theorem states that:
rank(A) + dim Nul A = number of columns in A
Given that matrix A is a 7x8 matrix with two pivot columns, we can calculate the dimension of its null space as follows:
1. Determine the rank of matrix A: Since there are two pivot columns, the rank of matrix A (rank A) is 2.
2. Apply the rank-nullity theorem: rank(A) + dim Nul A = number of columns in A
In this case, 2 + dim Nul A = 8.
3. Solve for dim Nul A: dim Nul A = 8 - 2 = 6.
So, dim Nul A = 6.
To determine if Col A is equal to R^2, we need to consider the dimension of the column space of matrix A. The dimension of the column space is equal to the rank of matrix A:
dim Col A = rank A = 2.
However, Col A is a subspace of R^7 because the matrix A has 7 rows. Therefore, Col A cannot be equal to R^2, which is a subspace of R^2.
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Find the GCF for 40 and 48 *
can someone help me im doing it the venn diagram way for my test plssssss
Answer:
8
Step-by-step explanation:
Fill in the blanks with a number that will make the equation true. The number you pick for the blank must be the same in each blank of that problem. 3 + (______) = 5 + (_______)
Answer:
Just messing with you but:
3 + ∞ = 5 + ∞
Which expression is equivalent to 3x - (2x + 4) + 5?
X + 9
x + 1
5x + 9
5x + 1
Answer:
x plus 1
Step-by-step explanation:
Answer:
x+1
Step-by-step explanation:
if you simplify the equation, you will get x+1
first, you take the parentheses away. The equation becomes
3x-2x-4+5
then you combine like terms
x+1
please answer this question correctly please answer this question correctly
Answer:
\(\frac{(8+2)^2}{2} = 50\)
\(10+5^2-3 * 2^2 = 23\)
Step-by-step explanation:
\(\frac{(8+2)^2}{2}\)
\(\frac{10^2}{2}\)
\(\frac{100}{2}\)
50
------------------------------
\(10+5^2-3 * 2^2\)
\(10+25-3 * 4\)
\(10+25-12\)
\(35-12\)
23
In this problem, you will explore the relationship between the sum of the interior angles of a triangle and the angles vertical to them.
d. Algebraic
Write an equation that relates m∠1 + m∠2 + m∠3 to m∠4 + m∠5 + m∠6. Then use substitution to write an equation that relates m∠4 + m∠5 + m∠6 to an integer.
Equalities into the equation for the sum of the interior angles is 180.
The equation relating m∠4 + m∠5 + m∠6 to an integer is 120.
Let's start by considering the relationship between the sum of the interior angles of a triangle and the angles vertical to them.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, we have the equation: m∠1 + m∠2 + m∠3 = 180
So, we have the following relationships:
m∠1 = m∠4
m∠2 = m∠5
m∠3 = m∠6
Substituting these equalities into the equation for the sum of the interior angles, we get: m∠4 + m∠5 + m∠6 = 180
Therefore, the equation that relates m∠1 + m∠2 + m∠3 to m∠4 + m∠5 + m∠6 is: m∠1 + m∠2 + m∠3 = m∠4 + m∠5 + m∠6 = 180
To write an equation that relates m∠4 + m∠5 + m∠6 to an integer, we can substitute a specific value for one of the angles. Let's substitute m∠4 = 60 degrees:
m∠4 + m∠5 + m∠6 = 60 + m∠5 + m∠6
Now, we can simplify the equation further by substituting the fact that vertical angles are congruent:
60 + m∠5 + m∠6 = 180
By rearranging the equation, we can write it in the form of:
m∠5 + m∠6 = 180 - 60
Simplifying the right side gives us:
m∠5 + m∠6 = 120
Therefore, the equation relating m∠4 + m∠5 + m∠6 to an integer is:
m∠4 + m∠5 + m∠6 = 120
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