Answer:
in ratio 4:14
Step-by-step explanation:
i need help please thanks
Answer:
Wouldn't the answer just be 30 degrees?
Answer:
150 degrees
Step-by-step explanation:
150 degrees
Remember, the bigger the angle, the bigger the degree.
Hope this helps!
Which letter is at coordinate position (9, 5)?
OA. Y
OB. R
OC. F
OD. Q
The point R has an abscissa 9 and ordinate 5
Ali starts working on an annual salary of $20 000. His contract will give him an increase of $120 every 6 months. If he keeps working for 15 years, how much will Ali earn?
Answer: 23,600
Step-by-step explanation: 120x2 = 240, 240x15 = 3600. 20,000 + 3600 = 23,600
i need an answer asap
Answer:
yes
no
no
yes
Step-by-step explanation:
a wire of radius 6mm and length 400 is melted to sphere.calculate the volume of an irregular solid
Answer:
it's 10 cemetery in a two way too far and far from a lot for
The volume of irregular solid is 45239 mm^3
Given
for cylinder,
radius = 6mm and length = 400 mm
Volume, is defined as the ratio of the mass of object to its density.
since if the cylinder is melted to sphere the volume remains the constant
so.
volume of an irregular solid = volume of cylinder
= πr^2l
= 3.14 x 6^2 x 400
= 45239 mm^3
Thus, the required volume of of irregular solid is 45239 mm^3
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If a coin is flipped 10 times, what is the probability that it will show tails all 10 times? a. b. c. d. e.
105/512 is the probability that it will show tails all 10 times
What is Probability
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
The probability of getting a head in a single toss
p=1/2
The probability of not getting a head in a single toss
q=1/2
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
\(C^{10} _{4}\frac{1}{2^4}\frac{1}{2^6}\\\\= \frac{10.9.8.7}{4!} (\frac{1}{2^4})(\frac{1}{2^6})\\\\=\frac{2^4.9.35}{24(2^1^0)}\\\\=105/512\)
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Answer:
the answer is 1/1024
Step-by-step explanation:
A transformation is applied to a figure to create a new figure. Which transformation does NOT preserve congruence?
answer choices
a. A reflection across the x-axis
b. A translation 7 units down
c. A dilation by a scale factor of 5
d. A rotation of 900 clockwise
Dilation by a scale factor of 5 does not preserve congruence, hence the correct answer is option c.
1. Rotation transformation: A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise.
2. Reflection transformation: In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection.
3. Translation transformation: Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
4. Dilation transformation: Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape.
Congruence is preserved by reflection, translation & rotation, as the image & pre-image have the same side lengths & angle measurements. But in case of dilation transformation, the side lengths change, hence this transformation does not preserve congruence.
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The siblings have 42 quilting squares (2.5 inches by 2.5
inches). Do they have enough to make a 2.7 meter line?
Round to the nearest tenth. Show your work. Include units in your
work and result.
No, the siblings do not have enough quilting squares to make a 2.7-meter line. The total length of their 42 quilting squares is approximately 2.7 meters, which is equal to the desired length.
To determine if they have enough squares, we need to convert the measurements to a consistent unit.
First, let's convert the quilting square size from inches to meters. 2.5 inches is equivalent to 0.0635 meters.Next, we calculate the total length of the quilting squares by multiplying the number of squares (42) by the length of each square (0.0635 meters).Rounded to the nearest tenth, the total length of the quilting squares is approximately 2.7 meters.
Since the total length of the quilting squares (2.7 meters) is equal to the desired 2.7 meter line, the siblings have just enough squares to make the line.
Therefore, they have enough quilting squares to make a 2.7 meter line, rounded to the nearest tenth.
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What is the area of equilateral ∆ having side 12 cm?
Therefore , the solution of the given problem of triangle comes out to be the equilateral triangle are is 62.28 cm².
Describe the triangle.In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.
Here,
Given : side = 12cm
Area of an equilateral triangle
=> √3/4 * side²
Side of triangle =12 cm
Area of an equilateral triangle
= > √3/4 * 12²
=>√3/4 * 12*12
=> 62.28 cm²
Therefore , the solution of the given problem of triangle comes out to be the equilateral triangle are is 62.28 cm².
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there are 252525 students in ms. nguyen's second-grade class. in the class election, 444 students voted for benjamin, 121212 voted for sahil, and 999 voted for maria. what percentage of the class voted for maria?
Maria received 999 votes out of a total of 25, which means that 999/25 = 39.96% of the class voted for her. Therefore, approximately 40% of the class voted for Maria.
To find the percentage of the class that voted for Maria, we need to first find the total number of students who voted:
Total number of students who voted = number who voted for Benjamin + number who voted for Sahil + number who voted for Maria
= 444 + 1212 + 999
= 2655
Now we can calculate the percentage of the class that voted for Maria:
Percentage of class that voted for Maria = (number who voted for Maria / total number of students who voted) x 100%
= (999 / 2655) x 100%
= 37.6%
Therefore, 37.6% of the class voted for Maria, approximately 40% of the class voted for Maria.
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what is 2/3 x 9/8 as a fraction in simplest form
Answer: \(\frac{3}{4}\)
Have attached the picture for explanation...
The product of the fraction in the simplest form is 3/4
What is a fraction?A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
What is the product of the fraction?2/3 x 9/8 = 18/24 = 3/4
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SYNTHETIC DIVISION
Show that (X+1) is NOT a factor of the polynomial x^4-x-1
using Synthetic division.
Use place holders as required.
Please help:)
(x+1) dοes nοt divide x^4 - x - 1 evenly.
What is synthetic divisiοn?In Mathematics, there are twο different methοds tο divide the pοlynοmials. One is the lοng divisiοn methοd. Anοther οne is the synthetic divisiοn methοd. Amοng these twο methοds, the shοrtcut methοd tο divide pοlynοmials is the synthetic divisiοn methοd.
It is alsο called the pοlynοmial divisiοn methοd οf a special case when it is dividing by the linear factοr. It replaces the lοng divisiοn methοd. In certain situatiοns, yοu can find this methοd easier.
Tο use synthetic divisiοn, we write the pοlynοmial as:
\(\rm x^4 - x - 1 = 0x^3 + 1x^2 + 0x - 1x - 1\)
Nοw we will perfοrm synthetic divisiοn using -1 as the rοοt (since we are checking if X+1 is a factοr).
-1 | 0 1 0 -1 -1
| 0 -1 1 -2
|-----------------
0 1 -1 0 -3
The numbers οn the bοttοm rοw οf the synthetic divisiοn table are the cοefficients οf the resulting pοlynοmial after dividing by (x+1). We can see that the last number, -3, is nοnzerο, which means that (x+1) is nοt a factοr οf \(x^4 - x - 1\).
Therefοre, (x+1) dοes nοt divide \(x^4 - x - 1\) evenly.
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Solve 6 11/12 - ( 2 4/16 + 3 2/3 ) start by doing the operation inside the parentheses first
Answer:
1
Step-by-step explanation:
Convert all to an improper fraction.
\(\frac{83}{12} -(\frac{36}{16} +\frac{11}{3})\)
\(\frac{83}{12}-\frac{71}{12}=\frac{12}{12} =1\)
good luck, i hope this helps :)
To solve the expression \(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\) , we need to first simplify the mixed fractions inside the parentheses.
Let's start by converting the mixed fractions into improper fractions:
6 11/12 can be written as (6 * 12 + 11) / 12 = 83/12
2 4/16 can be written as (2 * 16 + 4) / 16 = 36/16
3 2/3 can be written as (3 * 3 + 2) / 3 = 11/3
Now we can substitute these values back into the expression:
\(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\) = 83/12 - (36/16 + 11/3)
Next, let's find a common denominator for the fractions within the parentheses, which is 48:
83/12 - (36/16 + 11/3) = 83/12 - (36/16 * 3/3 + 11/3 * 16/16)
= 83/12 - (108/48 + 176/48)
= 83/12 - 284/48
To subtract these fractions, we need to have the same denominator:
83/12 - 284/48 = (83 * 4) / (12 * 4) - 284/48
= 332/48 - 284/48
= (332 - 284) / 48
= 48/48
= 1
Therefore, the solution to the expression 6 11/12 - (2 4/16 + 3 2/3) is 1.
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HELP DUE AT MIDNIGHT TN
Answer:
102
Step-by-step explanation:
These angles are congruent due to corresponding angles thm
3x + 21 = 6x - 60
3x - 6x = -60 - 21
-3x = -81
x = 27
3x + 21
3(27) + 21
81 + 21
102
all three components of the fire triangle are usually present whenever and wherever surgery is performed. for example, nitrous oxide is a source of which component of the fire triangle?
All three components of the fire triangle are usually present whenever and wherever surgery is performed. The fire triangle consists of three elements: fuel, heat, and oxygen.
In the context of surgery, nitrous oxide can be considered as a source of the fuel component of the fire triangle. Nitrous oxide is commonly used as an anesthetic in surgery, and it is highly flammable. It can act as a fuel for fire if it comes into contact with a source of ignition, such as sparks or open flames.
Therefore, it is important for healthcare professionals to be aware of the potential fire hazards associated with the use of nitrous oxide in surgical settings and take appropriate safety precautions to prevent fires.
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Elyis saving for a vacation. He can put $150 a month into a savings account. He already has $200 in the account and needs a total of $1,550. Write an equation that can be used to determine how many months Ely will need to save money to reach his goal. In one sentence, describe what the variable means in your equation.
An equation that can be used to determine how many months Ely will need to save money to reach his goal of a total of $1,550 in his savings account is 200 + 150x = 1,550.
What is an equation?An equation is a mathematical statement showing the equality or equivalence of two or more algebraic expressions.
Equations use the equal symbol unlike mathematical or algebraic expressions, which combine variables with numbers, constants, and values using mathematical operands.
The intended monthly savings = $150
The amount already in Ely's account = $200
The total amount Ely needs = $1,550
Let the number of months required to reach $1,550 = x
Equation:200 + 150x = 1,550
150x = 1,550 - 200
150x = 1,350
x = 9 months.
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(1)Two wells are a half-mile from each other. One intersects the water table at 300 feet while the other intersects the water table at 100 feet. What is the slope of the water table between the two wells in feet per mile? ft/mi
(2) Deer Creek is found in a mountainous area above a flat broad valley and flows for 8 km. The creek's source is found at 2700 meters above sea level and comes out onto the valley floor at 1290 meters above sea level. What is the slope of the stream?
(Round to two decimal places.) Calculate in meters per kilometer: m/km and then meters per meter m/m
(3) You are using a topographic map to do fieldwork in mountainous terrain. You need to hike over a ridge to get to the field area that you are interested in. The trail to the place you want to be is about 3.5 inches on the map, which has a scale of 1:24000.
How many inches on the ground does 3.5 inches on the map represent? (Round your answer to the nearest inch)
How many feet does 3.5 inches on the map represent? (Round your answer to the nearest foot.)
How many miles does 3.5 inches on the map represent? (Round your answer to the nearest tenth of a mile.)
1. The slope of the water table between the two wells can be calculated by determining the difference in water table levels and dividing it by the distance between the wells. 2. The slope of Deer Creek can be determined by calculating the difference in elevation between its source and the valley floor and dividing it by the length of the creek. 3. To determine the ground measurements corresponding to 3.5 inches on the map, we need to use the map's scale. The scale of 1:24000 means that 1 inch on the map represents 24000 inches on the ground.
1. To calculate the slope of the water table between the wells, we subtract the water table level at one well (100 feet) from the level at the other well (300 feet), resulting in a difference of 200 feet. Since the wells are half a mile apart (2640 feet), we divide the difference in water table levels by the distance between the wells, giving us a slope of approximately 0.076 ft/mi.
2. The slope of Deer Creek can be determined by subtracting the elevation of its source (2700 meters) from the elevation at the valley floor (1290 meters), resulting in a difference of 1410 meters. Since the creek flows for 8 kilometers, we divide the elevation difference by the length of the creek, giving us a slope of approximately 176.25 m/km or 0.176 m/m.
3. To determine the ground measurements corresponding to 3.5 inches on the map, we use the scale of 1:24000. Since 1 inch on the map represents 24000 inches on the ground, 3.5 inches on the map would represent 84000 inches on the ground, which is approximately 7000 feet or 1.32 miles.
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A man earned wages of 41,500 received 1900 and interest from a savings account and contributed 2900 to a tax deferred retirement plan he was entitled to a personal exemption of $4050 and had deductions totally $6660 find his gross income adjusted gross income and taxable income
Answer:
Gross Income = $ 43400
Adjusted Gross Income=$40500
Taxable Income = $33840
Step-by-step explanation:
given that-
Income paid to man
Wages = $41,500
Savings Interest = $1900
Tax Def Contribution=$2900
Deductions= $6660
personal exemption =$4050
Gross Income = Income paid to man = 41500 + 1900 = $ 43400
Adjusted Gross Income = Income - Tax Def Contribution = $43400-$2900=$40500
Taxable Income = AGI - Deductions = 40500 - 6660 = $33840
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there are three red markers for every 4 blue markers in an art set the total number of red markers and blue markers is 84 how many red markers are there
Answer:
36
Step-by-step explanation:
r = 3
b = 4
t = 7
\(\frac{red }{total}\) = \(\frac{red}{total}\)
\(\frac{3}{7}\) = \(\frac{r}{84}\) Cross multiply
7r = 84(3)
7r = 252 Divide both sides by 7
r = 36
If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
You've got three circles in line with eachother. Radius = 4cm
Calculate the shaded area and give answer in pi.
The shaded area of the circles that are given will be 32π.
How to calculate area?It should be noted that the area of a circle is calculated by using:
= πr²
where r = 4
In this case, we have two shaded circles. The area will be:
= 2(πr²)
= 2(π × 4²)
= 2(16π)
= 32π
In conclusion, the area is 32π.
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The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?
Answer:
You keep adding 15.
Step-by-step explanation:
5+15=20
20+15=35
35+15=50
50+15=65
use your calculator to evaluate e^-2.round your answer to 3 decimal places
The value of exponential of -2 is 0.718
What is exponential value?the exponential value of a number is equivalent to the number being multiplied by itself a particular set of times. The number to be multiplied by itself is called the base and the number of times it is to be multiplied is the exponent.
Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number.
The value of e^-2 is 0.718( 3 decimal place)
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true or false: there exists an instance of an lp problem that attains its optimal at exactly two points of the feasible region.
True, there exists an instance of a Linear Programming (LP) problem that attains its optimal solution at exactly two points of the feasible region.
To illustrate this, consider the following LP problem:
Maximize: Z = 2x + 3y
Subject to:
x + y ≤ 4
x ≤ 2
y ≤ 2
x, y ≥ 0
Identify the feasible region
The feasible region is the area where all constraints are satisfied simultaneously. In this case, the feasible region is a polygon formed by the intersection of the three constraints and the non-negativity constraints (x, y ≥ 0).
Find the corner points of the feasible region
The corner points are the vertices of the feasible region where the objective function will be evaluated. In this example, there are four corner points: A(0, 0), B(2, 0), C(2, 2), and D(0, 2).
Evaluate the objective function at each corner point
A: Z = 2(0) + 3(0) = 0
B: Z = 2(2) + 3(0) = 4
C: Z = 2(2) + 3(2) = 10
D: Z = 2(0) + 3(2) = 6
Determine the optimal solution
The optimal solution is the corner point(s) with the highest value of the objective function. In this case, point C (2, 2) with a Z value of 10 is the optimal solution.
However, consider adding another constraint to the LP problem:
x + y = 4
The new feasible region will now be a line segment between points B (2, 0) and D (0, 2). This modification of the LP problem results in two optimal solutions: B (2, 0) with Z = 4, and D (0, 2) with Z = 6. Both points lie on the line x + y = 4 and provide different optimal solutions, proving that there exists an instance of an LP problem that attains its optimal solution at exactly two points of the feasible region.
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the coefficient of determination: group of answer choices indicates whether the correlation coefficient is significant. is a measure of the amount of variability in one variable that is shared or accounted for by the other. is the square root of the variance. is the square root of the correlation coefficient.
The coefficient of determination is not the square root of the correlation coefficient.
The coefficient of determination refers to the proportion of the variance in the dependent variable that is accounted for by the independent variable.
It is the square of the correlation coefficient and ranges between 0 and 1, with 0 indicating no correlation, while 1
indicates a perfect correlation.
The coefficient of determination is a measure of how much variation exists between two variables, with a higher value
indicating a stronger relationship between the two variables.
Additionally, the group of answer choices can indicate whether the correlation coefficient is significant, and the
coefficient of determination is not the square root of the correlation coefficient.
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Leticia and Carmen were each given 120 math questions for the month. After 3 weeks,
Leticia completed 75% of the problems and Carmen completed 60% of the problems
How many more questions did Leticia complete thon Carmen?
Please answer my question.
a. The coordinates after the rotation are: D(-5, 4) → D' (5, -4), E(3, 6) → E'(3, -6), and F(4, 2) → F'(4, -2) b. The general rule below that describes the rotation are: (x, y) → (x, -y).
What are transformation?According to the definition of a transformation in mathematics, a transformation is a geometric shape or formula that has been altered, mapping the shape or formula from its preimage, or initial position, to its image, or after-transformation position. Because transforming a function to a different space offers a fresh viewpoint on the issue, scientists and mathematicians employ transformations to simplify a problem. Scientists frequently shift a function, manipulate it, and then transform it back to its original place because this fresh perspective can make computations easier in the new space than in the old one.
a. The coordinates after the rotation are:
D(-5, 4) → D' (5, -4)
E(3, 6) → E'(3, -6)
F(4, 2) → F'(4, -2)
b. The general rule below that describes the rotation are:
(x, y) → (x, -y)
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Multiply express the product in simplest form 7/4 times 12
Answer: The answer is 21
Step-by-step explanation: Reduce the numbers with the greatest common factor 4. So it will be 7x3=21
Raj is making korma for a party. He puts 25 g of curry powder
Answer:
Whats the rest of the question?
Step-by-step explanation:
The more often a lie is told, the more people will believe it. Many mathematical models for this psychological ploy exist
Answer:
hello your question is incomplete attached below is the complete question
answer : The vertical asymptote is not relevant since a negative population holds no relevance ( option 3 )
Step-by-step explanation:
attached below is the Graph of P(x) plotted using online tools as part of the solution requested by the question
From the attached graph vertical asymptote is x = 0
Also from the graph the x-intercept is (2, 0) which means that whenever a lie is told twice, Nobody believes the lie ( i.e. y = 0 when x = 2 )