Answer:
x = 30
Step-by-step explanation:
Okay the triangle should add up to 180.
The square represents a right angle = 90°
So just do this
60° + 90° + x = 180 (collect like terms)
150° + x = 180 (subtract 150 on both sides)
x = 30
Hope this helps ya!
Answer:
x = 30
Step-by-step explanation:
the trinagle has an angle of 180.
and the trainage has a 90° next to the 60
So
60° + 90° + x = 180 (there are term)
150° + x = 180
subtract 150 on both sides
150 - 150 180-150 = x = 30
If 1x=1-y and 3x=8-5y=, what is the value of x?
Answer:
6
Step-by-step explanation: i dont know im not in high school
What is the greatest common factor of 90, 126, 180 and 990?
9514 1404 393
Answer:
18
Step-by-step explanation:
90 = 18·5
126 = 18·7
180 = 18·10
990 = 18·55
The greatest common factor of these numbers is 18.
__
Comment on the GCF
It can be useful to know Euclid's algorithm for finding the GCF:
Determine the remainder from dividing the larger number by the smaller.If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)
1. If I am driving 65.5 MPH, how many miles can I travel in 8.5 hours?
If you drive at a constant speed of 65.5 miles per hour for 8.5 hours, you can travel a distance of approximately 556.75 miles.
If you are driving at a speed of 65.5 miles per hour, you can cover a certain distance in a specific amount of time. To determine the distance you can travel in 8.5 hours, you can use the formula:
Distance = Speed x Time
In this case, Distance = 65.5 x 8.5 = 556.75 miles.
Therefore, if you drive at a constant speed of 65.5 miles per hour for 8.5 hours, you can travel a distance of approximately 556.75 miles.
It's important to note that this calculation assumes that you are driving at a constant speed without any stops or interruptions, which may affect your overall travel time and distance.
Additionally, it's important to always practice safe driving habits and obey traffic laws while on the road to ensure the safety of yourself and others around you.
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I need help with this
Answer: 4\(x^{2}\)+ 80x +300
Step-by-step explanation:
they just want you to find the polynomial...
Simplify...
4\(x^{2}\)+ 80x +300
the question is in the picture
Plz someone help me I’ve been stuck for a bit my dad won’t help me
Answer:
Not very good at these but prob 1st and last
Step-by-step explanation:
explain why the alternating series test can or cannot be used to determine whether the series is convergent
Two conditions are not met, the AST cannot be used to determine the convergence or divergence of the series.
The Alternating Series Test (AST) is a tool that can be used to determine whether a series converges or not.
In order to apply the AST, the series must meet two conditions:
The terms of the series must alternate in sign. In other words, the terms should switch between positive and negative values.
Mathematically, this can be represented as \((-1)^n \times a_n or ( -1 ) ^(n+1) \times a_n\) for some sequence a_n.
The terms of the series must be decreasing in magnitude, and the limit of the sequence a_n must be 0 as n approaches infinity.
In mathematical notation, this can be written as: \(a_(n+1) \leq a_n\)for all n, and \(\lim_{n \to \infty} a_n = 0\).
If a series meets both of these conditions, then the AST can be applied, and the series converges.
Either of these conditions is not met, the AST cannot be used to determine the convergence or divergence of the series.
To recap, the Alternating Series Test can be used to determine if a series converges if and only if:
The series alternates in sign (terms switch between positive and negative values).
The terms of the series are decreasing in magnitude, and the limit of the sequence \(a_n\) is 0 as n approaches infinity.
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A carpenter is using a tape measure to get the length of a board. a) What are some possible sources of bias? b) Which is more subject to bias, a steel tape or a cloth tape? c) Would the bias in a cloth tape change over time?
a) Possible sources of bias include human error in reading the tape measure, tape measure stretching or shrinking over time, and the angle of the tape measure affecting the measurement. b) A cloth tape is more subject to bias. c) The bias in a cloth tape may change over time due to stretching or shrinking.
a) Possible sources of bias when using a tape measure could include: inaccurate or worn markings on the tape, parallax error due to viewing the tape at an angle, inconsistent tension on the tape, or user error in lining up the tape measure with the object being measured.
b) A cloth tape is generally more subject to bias than a steel tape because it is more likely to stretch or shrink with use and temperature changes, leading to inaccuracies in measurement.
c) Yes, the bias in a cloth tape may change over time due to stretching, shrinking, or wear and tear. It is important to regularly check and calibrate tape measures to ensure accurate measurements.
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please...............
Answer: A and D
Step-by-step explanation:
Coordinate plane with two lines graphed. The equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. Determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? The system of equations has 0 solutions, because the graph has no point of intersection. The system of equations has infinite number of solutions and all real numbers satisfy both equations. The system of equations has 1 solution and it is (3, 2). The system of equations has 1 solution and it is (3, 0).
Answer:
Step-by-step explanation:
y = -2/3x + 4
y = 2/3x
2/3x = -2/3x + 4
4/3x = 4
4x = 12
x = 3
y = 2/3(3)
y = 2
(3,2) one solution
option 3
Mrs. Hazen bought 4 1/2 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?
Answer:
72 ounces of bananas
Answer:
72
Step-by-step explanation:
4.5 ties 16 = 72
Add. Simplify your answer.
Step-by-step explanation:
Add the ones with like terms.
which means the ones with things in common.
4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.
(4/5 + 1/4)x^2
= (5+16/20)x^2
= (21/20)x^2
the next terms are those with x as common.
(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.
=(1/4 - 1/5)x
=(5 - 4/ 20)x
= (1/20)x
= (1 × x) / 20
= x/20.
last ones are the constant terms(numbers)
1/6 + 2/3
=12 + 3 / 18
= 15/18...we can simplify this one as well.
= 5 × 3 / 6 × 3
= 5/6.
Now write all the results as a one equation.
descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.
21/20x^2 + x/20+ 5/6.
if your brother has saved $60 to spend on basketball cards
Answer:
Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!
If BC = 6 and AD = 5, find DC. 4 4.5 7.2
with steps to solve
Answer:
Unfortunately, I cannot solve this problem without more context or information about the figure or diagram involved. Please provide additional details so I can assist you better.
(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)
Side DC has a value of 4.
What is triangles?
Similar triangles are triangles that have the same shape but different sizes. Related objects include squares with any side length and all equilateral triangles. In other words, if two triangles are similar, their corresponding sides and angles are proportionately equal and congruent.
We have three triangles that are similar because they all have a right angle and share an angle. Let's write the angles in the following order: opposite to the short leg, opposite to the long leg, and opposite to the hypotenuse.
CBD CAB BAD CBD
Alternatively, as ratios,
BA:AD:BD = CB:BD:CD = CA:AB:CB
We also understand
AD + CD = AC
(AD+CD):AB:CB = BA:AD:BD = CB:BD:CD = CB:BD:CD
(AD+CD)/CB=CB/CD
Let CD equal x.
(5 +x )/6 = 6/x
(5+x)*x = 6*6
5x + x² = 36
x² + 5x - 36 = 0
x² + 9x -4x -36 = 0
x(x+9 ) -4 (x +9 ) = 0
(x-4)(x+9) = 0
x= 4, -9
We reject the negative root and arrive at x=4.
As a result, Side DC is 4.
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Can u guys solve all this
A prism is 38 mm long. Its cross-section is a triangle with a base length of 19 mm and a perpendicular height of 26 mm. What is the volume of the prism? Give your answer in mm³
The volume of the prism is 9386 mm³.
To find the volume of a prism, we multiply the cross-sectional area of the prism by its length. In this case, the cross-section of the prism is a triangle with a base length of 19 mm and a perpendicular height of 26 mm.
The formula for the area of a triangle is (1/2) * base * height. Let's calculate the cross-sectional area of the triangle:
Area of the triangle = (1/2) * base * height
= (1/2) * 19 mm * 26 mm
= 247 mm²
Now, we can calculate the volume of the prism by multiplying the cross-sectional area by the length of the prism:
Volume = cross-sectional area * length
= 247 mm² * 38 mm
= 9386 mm³
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the domain of an exponential function is all real numbers. the domain of an exponential function is all real numbers. true false
The statement "the domain of an exponential function is all real numbers" is generally true. An exponential function is a mathematical function of the form f(x) = a^x, where a is a positive constant and x can be any real number.
Since x can be any real number, the domain of an exponential function is all real numbers. This means that you can input any real number into an exponential function and get a valid output.
However, there are some special cases where the domain of an exponential function is restricted. For example, if the base a of the exponential function is negative, the domain of the function is limited to even integer values of x, because negative numbers raised to non-integer powers are not defined in the real number system.
In addition, if the function has other operations or transformations applied to it, such as addition or multiplication, the domain of the function may be restricted by these operations.
Overall, while the domain of an exponential function is typically all real numbers, it's important to consider any special cases or restrictions that may apply to a specific function.
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How do you calculate standard error in Excel?
Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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How do you solve this?
Can you deposit $1200 into a savings account that earns simple interest at a rate of 3% per year. How much interest have you learned after three years?
Answer:4,200
Step-by-step explanation:
Find the values of y in the following figures
(Give your answers correct to 3 significant figures if necessary)
Answer:
A)6
Step-by-step explanation:
First we can create a second traingle show in the picture so we figure out the base is 8 and hypotenuse is 10
so we use pythagerous
10^2-8^2=36
root of 36=6
Therefore x is 6 as they are the same height do to us knowing its a rectangle as it has 90 degree angles
Cory studied for his math test on Monday and Tuesday. He spent a total of 75 minutes studying. He spent an extra 15 minutes studying on Tuesday. How long did he study on Monday and Tuesday
Answer:
90 minutes...
Step-by-step explanation:
75+15....
What is the coefficient of the second term of the trinomial? (3x 3)2=9x2 Bx 9 Enter your answer in the box. B =.
Answer:
B= 18x
Step-by-step explanation:
use identity : (a+b)² = a²+2ab+b² you have a =3x and b =3 so: B =2ab
the second term of this trinomial is : 2ab means : 2(3x)(3) = 18x
(3x +3)2=9x2+2(3x)(3)+3²
how many ways are there for the club members to line up in which the president is not next to the vp?
(a) Number of ways to line up 10 members =10! =3,628,800 number of ways so that VP and president are next to each other 2.9!
(b) To line up the ten people if the VP must be beside the president in the photo 725,760 ways.
(c) To line up the ten people if the president must be next to the secretary and the VP must be next to the treasure is: 161,280 ways.
a). To line up the ten people with no restrictions in arrangement; we have;
n! = 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3,628,800 ways.
b). To line up the ten people if the VP must be beside the president in the photo;
then, there are 9 entities as the VP and president are considered as one entity. However, there are 2! ways to arrange the president and vp, we have:
=> 9! × 2!
= 725,760 ways.
c). To line up the ten people if the president must be next to the secretary and the VP must be next to the treasure we have:
= 8! × 2! × 2!
= 161,280 ways.
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The given question is incomplete, complete question is:
ten members of a club are lining up in a row for a photograph. the club has one president, one vp, one secretary, and one treasurer. (a) how many ways are there to line up the ten people? (b) how many ways are there to line up the ten people if the vp must be beside the president in the photo? (c) how many ways are there to line up the ten people if the president must be next to the secretary and the vp must be next to the treasurer?
40 POINTS (don't answer incorrectly just to get points)
The formula for the perimeter of a rectangle in terms of the width w is w=(P-2l)/2.
Given that, the formula for the perimeter of a rectangle is P=2(l+w).
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here, the perimeter is P=2(l+w)
⇒ P=2l+2w
⇒ P-2l=2w
⇒ w=(P-2l)/2
Hence, the formula for the perimeter of a rectangle in terms of the width w is w=(P-2l)/2.
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a catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner situation as:
A catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner situation as income.
What is dual - earner?
A cohabiting relationship that has two wage earners is referred to as a dual-earner pair. The term "dual-career relationship" refers to a couple with two incomes where both parties are pursuing careers, i.e., both are dedicated to their jobs and maybe to professional advancement.
Given: A catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner.
We have to know what type of situation is this.
Couples classified as dual earners do so because both members of the relationship make a living from jobs they hold outside the home.
Therefore, a catalyst survey found that 85% of respondents listed the biggest advantage of a dual-earner situation as income.
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two marksmen fire at a target simultaneously. jiri hits the target 70% of the time and benita hits it 80% of the time. determine the probability that
Two marksmen fire at a target simultaneously, the probability that Benita hits it but Jiri misses is 0.24 or 24%.
We have two marksmen, let consider two events,
A : Jiri hits the target
B : Benita hits the target
both the events are independent events.
Probability that benita hits the target, P(B) = 80% = 0.8
Probability ( Benita not hits the target) , P(Bᶜ) = 1 - P(B) = 0.2
Probability that Jiri hits the target, P(A)
= 70% =0.7
Probability ( Jiri not hits the target) , P(Aᶜ)
= 1 - P(A) = 0.3
We have to calculate the probability that Benita hits target but Jiri misses it, P( B and Aᶜ ). Now, the event Benita hits the target but jiri misses corresponds to ( B∩Aᶜ ) . Since, Benita and jiri hits the target independently, hence B and Aᶜ are also independent events.
Probability that Benita hits it but Jiri misses = P( B∩Aᶜ) = P(Aᶜ) P(B)
= 0.8 × 0.3 = 0.24 or 24%
Hence, required probability is 24%.
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Complete question:
Two marksmen fire at a target simultaneously. Jiri hits the target 70% of the time and Benita hits the target 80% of the time. How do you determine the probability that Benita hits it but Jiri misses?
Solve for x. x = -x
not possible
0
1
-1
using the exponential smoothing model for forecasting, the smoothing constant alpha determines the level of smoothing and what?
Answer:
Step-by-step explanation: The speed of reaction to differences between forecasts and actual results. is the answer i think