Answer:
1 cause its going to be one sometimes
Answer:
x = 9
Step-by-step explanation:
1+1 = x - 7
2 = x - 7
Add 7 to both sides to isolate the x:
2 + 7 = x - 7 + 7
9 = x
Hope this helps!
What is 255 x 270 + 460
Answer:
69310
Step-by-step explanation:
255*270+460
=68850+460
=69310
Solve each system of linear equations below, then check your work.
A. 3x−y=−11 −x+y=5
B -2y+3= 4x + 2 6x + 4y=1
C. 32y- x= -25 5x= 100 + x - 8Y
D. 2y + 3x = 6 4x + 5y +20 = 0
A. The solution of linear equation is (x, y) = (-3, 8).
B. The solution is (x, y) = (3/4, -1).
C. The solution is (x, y) = (-31/8, 3/8).
D. The solution is (x, y) = (55/7, -117/14).
A. 3x - y = -11 --- (1)
-x + y = 5 --- (2)
From equation (2), we can write y = x + 5, and substitute it in equation (1):
3x - (x + 5) = -11
2x = -6
x = -3
Substituting x in equation (2):
-y = -8
y = 8
Therefore, the solution of the system is (x, y) = (-3, 8).
To check the solution, we substitute the values of x and y in the original equations:
3(-3) - 8 = -11 (True)
-(-3) + 8 = 5 (True)
So, the solution is correct.
B. -2y + 3 = 4x + 2 --- (1)
6x + 4y = 1 --- (2)
From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):
6x + 4y = 1
6x - 4y = 8 (rearranging)
12x = 9
x = 3/4
Substituting x in equation (1):
-2y + 3 = 4(3/4) + 2
-2y + 3 = 5
-2y = 2
y = -1
Therefore, the solution of the system is (x, y) = (3/4, -1).
To check the solution, we substitute the values of x and y in the original equations:
-2(-1) + 3 = 4(3/4) + 2 (True)
6(3/4) + 4(-1) = 1 (True)
So, the solution is correct.
C. 32y - x = -25 --- (1)
5x = 100 + x - 8y --- (2)
From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):
32y - x = -25
32y - (100 - 8y) = -25
40y = 75
y = 3/8
Substituting y in equation (1):
32(3/8) - x = -25
x = -31/8.
Therefore, the solution of the system is (x, y) = (-31/8, 3/8).
To check the solution, we substitute the values of x and y in the original equations:
32(3/8) - (-31/8) = -25 (True)
5(-31/8) = 100 + (-31/8) - 8(3/8) (True)
So, the solution is correct.
D. To solve the system of equations:
2y + 3x = 6 --- (1)
4x + 5y + 20 = 0 --- (2)
We can rearrange equation (2) to isolate one of the variables:
4x + 5y = -20 (subtracting 20 from both sides)
5y = -4x - 20 (subtracting 4x from both sides)
y = (-4/5)x - 4 (dividing both sides by 5)
Substituting this value of y in equation (1):
2((-4/5)x - 4) + 3x = 6
(-8/5)x - 8 + 3x = 6
(-8/5)x + 3x = 14
(-8/5 + 3)x = 14
(-8/5 + 15/5)x = 14
(7/5)x = 14
x = 10
Substituting this value of x in the equation for y:
y = (-4/5)(10) - 4
y = -12.
Therefore, the solution of the system is (x, y) = (10, -12).
To check the solution, we substitute the values of x and y in the original equations:
2(-12) + 3(10) = 6 (True)
4(10) + 5(-12) + 20 = 0 (True)
So, the solution is correct.
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The slope of AB is 2/3, A(1,-4) and B(-5,y). Solve for the value of y.
Answer:
y=5
Step-by-step explanation:
the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.
y=9-4(y coordinates of A)
=5
Player A finished first in a tournament at a golf club with a score of 8, or eight strokes under par. Tied for 46th place was Player B, with a score of +9, or 9 strokes over par. What was the difference in scores between Player A and Player B?
The difference in scores between Player A and Player B will be 17.
How to illustrate the information?From the information, Player A finished first in a tournament at a golf club with a score of 8, or eight strokes under par. Player B, had a score of +9, or 9 strokes over par.
Therefore, the difference in scores between Player A and Player B will be:
= 9 - (-8)
= 9 + 8
= 17
Therefore, the difference in scores between Player A and Player B will be 17.
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2d + 1 = 9
so d = what
Answer:
d is 4 :))
hope that helped
Answer:
5
Step-by-step explanation:
2d+1=9
2d=8 (one crosses to the other side and becomes minus nine)
so d=4
hHELP ASAPPP DUE IN A COUPLE MINUTES. WILL GIVE BRAINLIEST!!!!!!
can someone do these 3 questions for me please !!
(PLEASE HELP WITH 10,11,12)
*please don't put none related answers to get points !! *
Answer:
yjjjjyjnmmmmmmmmmmmmmmm
Step-by-step explanation:
yjjjjyjnmmmmmmmmmmmmmmmyjjjjyjnmmmmmmmmmmmmmmmyjjjjyjnmmmmmmmmmmmmmmm
If each quadrilateral is a rhombus, find the missing measure. Find M
Answer:
m<HGI= 8.32
Step-by-step explanation:
4x+3=7x-1
3=3x-1
4=3x
1.33=x
______________________
4*1.33+3=8.32
i dont know if this is true so mark me on that
i will get it wrong too if it is wrong.
The measure of angle HGI from the given rhombus is 35°.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.
The given quadrilateral FGHI is a rhombus.
In a rhombus, diagonals bisect each other at right angles.
Here, (7x-1)°+(4x+3)°+90°=180°
11x+92=180
11x=88
x=8
Now, 4x+3=35°
So, m∠HGI=35° (Alternate interior angles)
Therefore, the measure of angle HGI is 35°.
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Find the area of the polygon
Answer: 192
Step-by-step explanation:
You multiply 6 x 16 x 2
5=logb(32) what does b equal
Answer: 2
Step-by-step explanation:
When a^b = c, loga(c) = b
So b^5 = 32 and b is 2
Hallar dos números que sumen 18 y que su producto sea máximo.
The two numbers that add up to 18 and have the maximum product are 9 and 9.
How to find the two numbers?We want to find two numbers that add up to 18 and that have the maximum product.
If the two numbers are X and Y:
The product is P = X*Y
And the sum must be:
X + Y = 18
Then we can write:
X = 18 - Y
Replacing that in the product we will get:
P = (Y - 18)*Y
So we have a quadratic.
Notice that the zeros are at Y = 0 and Y = 18, then the maximum is at the vertex Y = (0 + 18)/2 = 9
Then the value of X must be:
X = 18 - 9 = 18 - 9 = 9
The two values are 9.
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PLEASE HELP!! What is the surface area of the cone?
Use the identity 2 sinz cos z = sin(2x) to find the power series expansion of sin² z at z=0.
(Hint: Integrate the Maclaurin series of sin(2x) term-by-term.).
7=0
The power series expansion of sin²x at x = 0 is given by:
sin²x = 4x² - 32x⁴/3 + 64x⁶/5! - 512x⁸/7! + ...
To find the power series expansion of sin²x at x = 0, we can utilize the identity 2sin(x)cos(x) = sin(2x) and the Maclaurin series expansion of sin(2x).
The Maclaurin series expansion of sin(2x) is given by:
sin(2x) = 2x - (2x)³/3! + (2x)⁵/5! - (2x)⁷/7! + ...
To find sin²x, we square the Maclaurin series of sin(2x) term-by-term:
(sin(2x))² = (2x)² - 2(2x)⁴/3! + (2x)⁶/5! - 2(2x)⁸/7! + ...
Now, let's simplify the expression:
(2x)² = 4x²
(2x)⁴ = 16x⁴
(2x)⁶ = 64x⁶
(2x)⁸ = 256x⁸
Substituting these values back into the expansion:
(sin(2x))² = 4x² - 2(16x⁴)/3! + (64x⁶)/5! - 2(256x⁸)/7! + ...
Simplifying further:
(sin(2x))² = 4x² - 32x⁴/3 + 64x⁶/5! - 512x⁸/7! + ...
This expansion represents sin²x as an infinite sum of terms involving powers of x.
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PART II: SHORT ANSWER (5 points each)
1. Using data from the Federal Election Commission (FEC), a student computes the average amount of money spent in United States Senate races during the 2010 election cycle. The student reports a mean that is significantly more than the median. Why are these two averages different? Which measure of central tendency should the student report?
The difference between the values of the mean and of the median are due to outliers, hence the median should be used as the measure of central tendency.
What are the mean and the median of a data-set?These measures are defined as follows:
The mean is given by the sum of all the observations in the data-set divided by the number of observations. The median is given by the middle value of the data-set, the value which 50% of the measures in the data-set are less than and 50% of the measures in the data-set are greater than.As the mean involves all values, it is prone to outliers. If a data-set has significantly different mean and medians, it is due to outliers or skewness in the distribution, which are two cases in which the median should be used as the measure of central tendency.
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Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)
The coordinates of B are (-7,-2).
What do you mean by x and y coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the given data in the question,
if M is the location where line segment AB meets its midpoint.
Then, we will using the midpoint formula,
\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)
Putting the x-coordinates in (1),
\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)
Similarly, putting the y-coordinates in (1),
\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)
Hence, the coordinates of B are (-7,-2).
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Question 1 of 10
Which expressions are equivalent to the one below? Check all that apply.
log 2-log 4
A. log(¹)
B. log 1
C. log(2) + log(¹)
D. log 2
"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).
The expression "log 2 - log 4" can be simplified using logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."
The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:
A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.
B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.
C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.
D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.
Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.
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In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
Name the relationship: complementary, supplementary, linear pair, vertical, or adjacent. Some may have more than one name.
The type of relationship that angle a and angle b have is that they are complementary.
What are Complementary Angles?A right angle equals the measure of 90 degrees. If two angles equals a right angle, then their sum equals 90 degrees. Complementary angles have a sum of 90 degrees, therefore, if two angles form a right angle, then they are a pair of complementary angles.
In the image given, angle a and angle b form a right angle. Thus, the sum of angle a and angle b equals 90 degrees. This means they are complementary angles.
Therefore, the type of relationship that angle a and angle b have is that they are complementary.
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1. Expand and simplify the following:
a) (x+3)(x + 5)
b) (x-6) (x + 7)
2. Common factor each of the following.
a) 2x+6
b) 9x² - 12x
3. Factor the following difference of squares.
a) x²-121
b) 4x² - 49
4. Factor each of the following trinomials.
a) x² - 10x + 16
b) x²-5x-24
c) (2x-3)(5x-4)
c) 24x² + 16x-2
c) 144-25x²
c) x² +8x-20
5. Factor the following quadratics using the appropriate factoring method (s).
a) 3x² + 18x+24
b) 99-11x²
c) 6x²-48x-54
The Common factor:
a) 2x+6 = 2(x+3)
b) 9x² - 12x = 3x(3x - 4)
How to solveExpand and simplify:
a) \((x+3)(x+5) = x^2 + 5x + 3x + 15 = x^2 + 8x + 15\)
b) \((x-6)(x+7) = x^2 + 7x - 6x - 42 = x^2 + x - 42\)
Common factor:
a) 2x+6 = 2(x+3)
b) 9x² - 12x = 3x(3x - 4)
Factorization is the process of expressing a number or equation in terms of its factors, which are integers or individual terms that when combined together generate the original number or expression. This is an essential concept in algebra and number theory.
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Chris and Mary are selling tickets at their class play. Chris is selling student tickets for $4.00 each, and Mary selling adult tickets for $6.50 each. If their total income for 21 tickets was $124.00, how many tickets did Chris and Mary sell individually?
Answer:
Chris sells 5 tickets and Mary sells 16 tickets
Step-by-step explanation:
System of Equations
To solve the problem we call:
x = number of tickets sold by Chris
y = number of tickets sold by Mary
They sold a total of 21 tickets, thus:
x + y = 21 [1]
Mary sold adult tickets for $6.50 each and Chris sold student tickets for $4.00 each. The total income was:
4x + 6.5y = 124 [2]
Multiplying [1] by -4:
-4x - 4y = -84 [3]
Adding [2] and [3]:
2.5y = 40
Dividing by 2.5:
y = 40/2.5
y = 16
From [1]
x = 21 - 16 = 5
x = 5
Chris sells 5 tickets and Mary sells 16 tickets
1. What will be the place
value of the number in
thousand's place for the
number that is obtained
by adding 60 tens, 58
hundreds and 685 ones?
Identify the number is
even or odd.
2.What is the difference
between the
Predecessor and
successor of a number?
Illustrate with an
example.
The evaluation of the value of the arithmetic operation based on the place value of the numbers indicates;
1. The number in the thousands place is; 7
The number is od
2. The difference between the predecessor and successor of the set of integers is; 8 - 6 = 2
What are arithmetic operations?Arithmetic operations are operations including, addition, subtraction, division and multiplication.
1. The numbers to be added are; 600, 5800, and 685
The sum of the numbers is; 600 + 5800 + 685 = 7085
Therefore, the place value in the thousands place is 7
The last digit of the number 7085 is 5 indicating that the number is an odd number
2. The predecessor of a number is the number that comes before the number.
The successor of the number is the number that comes after the number
The difference between the predecessor and the successor of a number therefore is; n + 1 - (n - 1) = n + 1 - n + 1 = 2
Example; 8 - 6 = 2
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Let f be a quadratic function such that
f(x) = ax +bx+c = a (x-h)² +k
If a > 0 and c < 0, how many real zeros will f(x) have?
02
04
3.
0 1
O 3
O none of the answer choices
Answer:
The function will have 2 zeroes.
Step-by-step explanation:
To find how many zeroes a quadratic function would have, we would have to look at its discriminant.
The discriminant (written using the capital greek letter Delta) of a quadratic function is defined like so:
\(\text{if }y = ax^2 + bx + c\\\text{then }\Delta = b^2 - 4ac\)
If the discriminant of a function is:
- Greater than 0, then it will have two zeroes.
- Equal to 0, then it will have one zero.
- Less than 0, then it will not have any zeroes.
Since we're given that \(a > 0\) and \(c < 0\), then \(-4ac > 0\), as multiplying two negative numbers results in a positive number.
\(b^2 \geq 0\) for all b, as any number times itself is positive/zero (for the same reason that -4ac is positive).
Therefore, \(b^2 - 4ac > 0\) for all a > 0 and c < 0.
Meaning that the function will have two zeroes.
A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
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32 = 25t ^ 2 - 4 round to the nearest tenth
Answer:
t = 1.2, -1.2
WHAT IS THE RIGHT ANSWER GIVING BRAINLIEST:)
Answer:
The answer is A.
Step-by-step explanation:
Because 9-2=7
Answer:
it's A
Step-by-step explanation:
Use the distance formula.
what is the combined weight of all phones
Answer:
What kind are they. All phones are different weights.
Step-by-step explanation:
I have a IPhone 12 and it weighs 5.78 ounces i just weighed it
Describe three strength training exercises that can be performed by adults at an average fitness level and then discuss at least two health benefits of strength training.
The three strength training exercises that can be performed by adults at an average fitness level are:
Push-upsSit-upsSquatsWhat are the health benefits of strength training?The health benefits of strength training include:
Burns calories efficiently.Decreases abdominal fat. Lowers your risk of injury. Improves heart health. ..Helps manage your blood sugar levels.Learn more about strength on:
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What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of 3 plus or minus the square root of 5 all over 2 x = the quantity of negative 3 plus or minus the square root of 5 all over 2 x = the quantity of 3 plus or minus the square root of 13 all over 2 x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answer:
Step-by-step explanation:
x² - 3x - 1 = 0
a = 1, b = -3, c = -1
x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))
x₁ = (3 + sqrt(9 + 4))/2
x₁ = (3 + sqrt(13))/2
x₁ = 3.302...
x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))
x₂ = (3 - sqrt(9 + 4))/2
x₂ = (3 - sqrt(13))/2
x₂ = -0.302...
help i tihnk i know the answers but unsure
Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.
What is the difference between quantitative and categorical variables?Quantitative variables are measured with numbers. Some examples include:
Weight measured in kilos
The distance measured in meters or kilometers
Time measured in seconds or hours
On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:
Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.
Moreover, variables can be classified as:
Nominal: Data can be categorized but not ranked.Ordinal: Data can be both categorized and ranked.Interval: Same properties as ordinal but can have values below zero.Ratio: Same properties as ordinal but does not have values below zero.Learn more about ordinal and nominal in: https://brainly.com/question/13168982
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What is the surface area of the image below I’ll give b brainliest
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
A market research company was interested in comparing three communities A, B and C to determine whether there are any differences in their use of water filters in homes. Each of 100 homeowners sampled from each community was asked whether or not they have installed water-filtering system in their homes. Their responses (Yes or No) are summarized in the following contingency table.
Use Filters
Community | Yes | No
A 62 38
B 58 42
C 73 27
a) Clearly state the null and alternative hypotheses in this problem.
b) Calculate the expected count for the bottom right cell (i.e., Community ‘C’ and ’No’), and explain what the number means.
c) The Chi-square statistic has been calculated to be 13.22. What can we conclude from this finding?
a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.
b) To calculate the expected count for the bottom right cell, we can use the formula:
Expected count = (row total x column total) / grand total
The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:
Expected count = (100 x 100) / 300 = 33.33
The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.
c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.
Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.