Answer:
1/2
Step-by-step explanation:
Perpendicular slopes must be opposite reciprocals of each other (their product should equal -1), so first find the slope of the line in the graph.
Slope = rise / run = -2 / 1 = -2
If the slope of the perpendicular line is m, we know -2m=-1. Dividing both sides by -2, we get m = 0.5 = 1/2
Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations that can be used to solve for y are y(y + 5) = 750, y² – 5y = 750 and y(y – 5) + 750 = 0
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form.
The equations that can be used to solve for y, the length of the room are:
1. y(y + 5) = 750
2. y² – 5y = 750
3. y(y – 5) + 750 = 0
Option 1 and 2 are quadratic equations that can be solved by factoring, completing the square, or using the quadratic formula. Option 3 is also a quadratic equation but it requires rearranging to the standard form before applying the same methods. The last option, (y + 25)(y – 30) = 0, is not a quadratic equation but it can be easily solved using the zero product property.
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when 2610 11.7 0.22 are added, the answer to the correct number of decimal places is . group of answer choices 2621.9 2600 2620 2621.92 2621
Answer: 2621.92
Step-by-step explanation:
The addition of the numbers 2610 and 11.7 and 0.22 is 2621.92.
Hence the correct option is given by (D).
Addition is a mathematical operation to sum up between two or more than two mathematical quantities or numbers specially.
Here given the numbers are 2610 and 11.7 and 0.22.
So the addition of the numbers 11.7 and 0.22 is given by,
= 11.7 + 0.22
= 11.92
So the sum of 2610, 11.7 and 0.22 is given by,
= 2610 + 11.7 + 0.22
= 2610 + 11.92
= 2621.92
Hence the correct option is given by (D).
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The area of a rectangle is 8w-18 square units.
Factor this expression.
Given your answer in part A, describe what you can conclude about the dimensions of the rectangle in two or more complete sentences.
If 128x is a perfect square number what is the least value of x
Please answer the question fast
Answer:
in a square all sides are equal so x has to equal
128
Hope This Helps!!!
BRAINLIEST AND 100 POINTS, I NEED THIS ANSWER IMMEDIATLY.
Please, tell me the answer, AND what to shade.
Answer:
10 centimeters = 0.1 meters
Step-by-step explanation:
Question
How many meters are in 10 centimeters?
There are 100 centimeters in 1 meter.
Therefore, 1 centimeter = 1 ÷ 100 meters
= 0.01 meters
So if 1 centimeter = 0.01 meters
Then 10 centimeters = 0.01 × 10 = 0.1 meters
multiply polynomials
The correct answer is d. 2x³+5x.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations. It may also include exponents and/or roots.
The correct answer is d. 2x³+5x.
To multiply 2x by (x²+5), we use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Applying this property, we get:
2x * (x² + 5) = 2x * x² + 2x * 5
= 2x³ + 10x
So, the correct expression is 2x³+5x, option d. 2x³+5x. The other options provided are not correct. Option a. 2x³+10x² has an extra term of 10x² which is not present in the original expression. Option b. 2x³+10x has an extra term of 10x which is not present in the original expression. Option c. 2x²+10x has an extra term of 2x² which is not present in the original expression. So, the correct answer is d. 2x³+5x.
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A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
What is the answer to this question
The following data give the distribution of the types of houses in a town containing 25,000 houses. Identify each category and its percentage on the circle graph. House Style Frequency Cape 6250 Garrison 10000 Split 8750
The categories and their Percentages on the circle graph would be as follows:
Cape: 25%
Garrison: 40%
Split: 35%
To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.
The given data provides the following frequencies for each house style:
Cape: 6,250 houses
Garrison: 10,000 houses
Split: 8,750 houses
To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.
Percentage for Cape: (6,250 / 25,000) * 100 = 25%
Percentage for Garrison: (10,000 / 25,000) * 100 = 40%
Percentage for Split: (8,750 / 25,000) * 100 = 35%
Therefore, the categories and their respective percentages on the circle graph would be as follows:
Cape: 25%
Garrison: 40%
Split: 35%
These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.
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a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second
Answer:
3
Step-by-step explanation:
You just divide 13.5 by 4.5, and you get 3 yards per second.
Find the missing side lengths, put answer as radical in simplest form
Look at picture for reference
The value of the missing side lengths x and y are 5√2 and 5 respectively.
What is the value of side length x and y?The figure in the image is a right triangle.
Angle θ = 45 degree
Hypotenuse = x
Opposite to angle θ = y
Adjacent to angle θ = 5
To solve for side x and side y, we use the trigonometric ratio.
Note that:
Cosine = adjacent / hypotenuse
tangent = opposite / adjacent
Solving for x:
Cosine = adjacent / hypotenuse
Plug in the values
cos( 45 ) = 5/x
x = 5 / cos( 45 )
x = 5√2
Solving for side y:
tangent = opposite / adjacent
Plug in the values
tan( 45 ) = y/5
y = tan( 45 ) × 5
y = 5
Therefore, the value of side length x is 5 units.
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Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100
Answer:
B is not equal to the others
Step-by-step explanation:
a student earns $70 over the summer and he spends 1/5 of the total amount on movies. He then spends 1/2 of the remaining money on school clothes.
how much money is left?
Answer:
$28
Step-by-step explanation:
1/5 of $70 is 14 . so $70 - $14 is $56
1/2 of $56 is $28
Hope this helps x
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
5x-3(-5y+6x) +4y i need help please
To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.
Using \(\displaystyle\sf \) tags for formatting, the expression becomes:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
First, we simplify the expression within the parentheses:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
\(\displaystyle\sf 5x+15y-18x+4y\)
Next, we can combine the like terms:
\(\displaystyle\sf 5x-18x+15y+4y\)
\(\displaystyle\sf -13x+19y\)
Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
George weeded 1/5 of the garden and Summer weeded some to when they were finished 2/3 of the garden still needed to be weeded.What fraction of the garden did summer weed?
Answer:
Step-by-step explanation:
Let's start by finding the fraction of the garden that George weeded. We know that he weeded 1/5 of the garden, so the fraction that is left is:
1 - 1/5 = 4/5
Now we know that Summer weeded enough to leave 2/3 of the garden still needing to be weeded. This means that she weeded:
1 - 2/3 = 1/3
of the garden.
However, we want to find the fraction of the garden that Summer weeded relative to the total garden, not just the part that was left after George weeded. So we need to express this fraction as a fraction of the total garden.
To do this, we can use the fact that George weeded 1/5 of the garden, or equivalently, 5/5 + 1/5 = 6/5 of the garden. So the total garden is divided into 6 equal parts, each representing 1/5 of the garden.
Since George weeded 1/5 of the garden, there are 5/5 - 1/5 = 4/5 parts of the garden left. This means that 4/5 of the garden is divided into 3 equal parts, each representing 1/3 of the garden (since Summer left 2/3 of the garden to be weeded).
Therefore, the fraction of the garden that Summer weeded is:
1/3 * (4/5) = 4/15
So Summer weeded 4/15 of the garden.
Please help me with this, ASAP. Please and thank you! D:
Extreme usage of stimulants can lead to ___
A) convulsions
B) coma
C) circulatory collapse
D) all of the above
Answer:
i think option B is right
calculate the distance between the points!
Answer:
6.71
Step-by-step explanation:
c=\(\sqrt{}\)(3-9)^2+(-1+4)^2
c=√36+9
c=6.71
Jim began a 145mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on bicycle is 4.5 hours.
Given Jim began a 145 mile bicycle trip.
The whole trip took 7 hours.
Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
speed = distance / time
time = distance / speed
ride:
d = distance ridden
t = d/30 (given from the problem)
walk:
t = (145 - d)/4 (given from problem)
total trip time:
7 = d/30 + (145 - d)/4.
7 = 4d/120 + 30(145 - d)/120
7×120 = 4d + 30(145 - d)
840= 4d +4350-30d
840 ₋ 4350 = ₋30d ₊ 4d
₋3510 = ₋26d
d = 3510/26
d = 135
d=135 then from here using the formula t = d / s we can solve
t=135/30 = 4.5 hours
hence the amount of time Jim spent on the bicycle is 4.5 hours.
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Scott invested a total of $9500 at two separate banks. One bank pays simple interest of 11% per year.while the other pays simple interest at a rate of 9% per year. IfScott earned $973.00 in interest during a single year, how much did he have on deposit in each bank?
Let x be the money invested on the bank that pays 11% per year and y be the money invested on the one that pays 9% per year.
So:
x + y = 9500
0.11x + 0.09y = 973
Let's solve the system using substitution:
x = 9500 -y
0.11( 9500 -y) + 0.09y = 973
1045 - 0.11y + 0.09y = 973
-0.02y = 973 - 1045
0.02y = 72
y= 3600
x+ y = 9500
x = 9500 - 3600
x = 5900
Answer: He deposited $5900 and $3600.
Which is closest to x the distance between the base of the left lighthouse and the boat
From the diagram provided, the angle formed by the onlooker from the top of the lighthouse is 65 degrees (that is 90 degrees minus 25 degrees).
The distance from the base to the top of the lighthouse is 22. That means the reference angle is 65, the adjacent is 22 (the side between the reference angle and the right angle) and the opposite is x (side facing the reference angle).
X can be calculated as follows;
\(\begin{gathered} \tan 65=\frac{\text{opp}}{\text{adj}} \\ \tan 65=\frac{x}{22} \\ \text{Cross multiply and you now have} \\ \tan 65\times22=x \\ 2.1445\times22=x \\ 47.179=x \\ x\approx47.2 \end{gathered}\)x is approximately 47.2 m
The correct answer is option C
What is the expression equivalent too?
Answer:
x+5
Step-by-step explanation:
3(x+4)-(2x+7)
1. Distribute 3 to x and 4
3x+12-2x+7
2. Distribute the "-" to 2x and 7
2x+12-2x-7
3. Subtract 7 from 12
3x+12-2x-7
3x+5-2x
4. Combine like terms
3x+5-2x
1x+5
Answer:
x+5
Add the following:
1) 7/23 + 11/23 + 9/23
2) 2 5/7+ 9 4/7
3) 3/4+ 11/12
4) 9/20 + 3/5
Please help ASAP
Step-by-step explanation:
1) 7/23 + 11/23 + 9/23
7+11+9/23
27/23
= 1 4/23
2) 2 5/7 + 9 4/7
11 9/7
= 11.12
3) 9/20 + 3/5
9+12/20
21/20
= 1 1/20 or 1.05
The graph of the relation T is shown below.Give the domain and range of T.Write your answers using set notationDomain= Range=
From the information provided we will have the following:
\(Dom_T={}{}{}{}{}{}\lbrace-2,2,4\}\)\(Ran_T=\lbrace-4,0\rbrace\)PLEASE HELP ME THIS IS THE 5TH TIME I HAVE HAD TO POST THIS AND GIVING BRAINLIST TO FIRST ANSWER
B.
C.
D.
Answer:
C.
Step-by-step explanation:
finding the domain of f(g(x)) (precalculus)
The domain of f(g(x)) is the set of all real numbers x for which g(x) is defined and lies in the domain of f(x).
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Given f(x) = 1/(x + 1) and g(x) = 1/(x+2)
First, let's find the domain of g(x). The function g(x) = 1/(x+2), so the denominator of this fraction must be non-zero. This means that x + 2 must be non-zero, or x must not equal -2. Thus, the domain of g(x) is all real numbers except for x = -2.
Next, let's find the domain of f(x). The function f(x) = 1/(x + 1), so the denominator of this fraction must also be non-zero. This means that x + 1 must be non-zero, or x must not equal -1. Thus, the domain of f(x) is all real numbers except for x = -1.
So, for f(g(x)) to be defined, g(x) must be in the domain of f(x), or g(x) must not equal -1. Since g(x) = 1/(x+2), this means that x + 2 must not equal 0, or x must not equal -2.
Combining these two conditions, the domain of f(g(x)) is all real numbers except for x = -2 and x = -1.
Therefore, the domain of f(g(x)) is all real numbers except for x = -2 and x = -1.
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Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Hello!
The distance, d, is less than 200 miles.
B. d > 200
A large company event was held in a park on a hot day. Afterward, many of the employees got sick. Some blamed the potato salad. To investigate, a random sample of 20 sick employees and a random sample of 20 non-sick employees are selected. Each selected individual is asked if they ate the potato salad. The results are displayed in the table.
Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?
H0: There is no difference in the distribution of responses among those who are and are not sick.
Ha: There is a difference in the distribution of responses among those who are and are not sick.
H0: There is a difference in the distribution of responses among those who are and are not sick.
Ha: There is no difference in the distribution of responses among those who are and are not sick.
H0: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
H0: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.
The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.
The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.
On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.
By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.
Therefore, the correct answer is:
H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.
Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.
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What is the area of this rectangle?
8 cm
5 cm
5 cm
8 cm
Answer:
40cm^2
Step-by-step explanation:
Ik Im right
Answer: 40 cm
Step-by-step explanation: