Answer:
y≥1
Step-by-step explanation:
y+8 ≥ 9
-8 -8
______
y≥1
i hope it makes sense(i tried to make it look like how you would do it on paper)
What is the product of any integer and –1?
A.The product is the opposite of the integer.
B.The product is the integer unchanged.
C.The product is positive.
D.The product is negative.
Plsss help
What is Angle A
Check the picture below.
Make sure your calculator is in Degree mode.
Which is a factor of 45x^4−5x^2? Show work.
a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1
Answer:
d. 3x - 1.
Step-by-step explanation:
45x^4−5x^2
The GCF is 5x^2 so we have:
5x^2(9x^2 - 1)
The expression in the parentheses is the difference of 2 squares so:
= 5x^2(3x - 1)(3x + 1)
Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship? (4 points)
The equation that best represents the relationship is y = ½x + 2
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
From the values of x and y, let's check if the graph of y against x is linear
taking points x( 2,4) y(3,4)
slope =( 4-3)/4-2
slope = 1/2
therefore the graph is linear and slope is 1/2
the equation of a straight line = y − y 1 = m ( x − x 1 )
= y-3 = m( x- 2)
= y = 1/2(x-2)+3
y = ½x -1+3
y = ½x +2
therefore the equation that best represents the relationship is y = ½x + 2
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Find the surface area of the two following figures. Show all your work.
Answer:
First shape: 366 in^2
Second shape: 376 in^2
Pretty sure these are correct, hope this helps!
FIND THE SUM:
FIND THE DIFFERENCE:
Answer:
1. 20... 2. 31... 3. -50
Step-by-step explanation:
1. 8+12=20
2. 13+18=31
3.-20+-30=-50
4. -15+3=-12
5. -80+20=-60
1. 8-12=-4
2. 13-18=-5
3. -20--30=-50
4. -15-3=-18
5. 80--20=60
In June, Clarissa used 1 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer: 33.33 megabytes per day
Step-by-step explanation:
From the question, we are informed that in June, Clarissa used 1 gigabytes of data on her cell phone. Since June has 30 days, the amount of data she uses on average per day? will be:
= 1000megabyte/30
= 33.33mb
Note that:
1000 megabytes = 1 gigabyte
A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive.
Answer:
-65
Step-by-step explanation:
if 7 less than 5 times a number is two more than twice that number, what is the result when that number is added to 8
Answer:
11
Step-by-step explanation:
\(5x - 7 = 2x + 2\\3x = 9\\x = 3\)
3 + 8 = 11
Write an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x|
At 1:00 am, the temperature in Finland was -8⁰F. By noon, the temperature was 25⁰F. What was the change in temperature, in degrees Fahrenheit, from 1:00 am to noon?
here are seven boys and six girls in a class. the teacher randomly selects one student to answer a question. later, the teacher randomly selects a different student to answer another question. find the probability that the first student is a boy and the second student is a girl.
The probability that the first student is a boy and the second student is a girl is 7/26.
To answer your question, we'll need to calculate the probabilities for each event and then multiply them together.
Probability of selecting a boy first:
There are 7 boys and 13 students total (7 boys + 6 girls), so the probability is 7/13.
Probability of selecting a girl second:
After selecting a boy, there are now 12 students remaining (6 boys + 6 girls). The probability of selecting a girl is 6/12 (which simplifies to 1/2).
Now, multiply the probabilities together: (7/13) × (1/2) = 7/26
So, the probability that the first student is a boy and the second student is a girl is 7/26.
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How to Find the Factors of 13
The components of a number are the numbers that divide evenly into it. To find the factors of 13, divide 13 by each number from 1 to 13 and check whether or not the result is an integer. 13 is made up of two factors: 1 and 13.
What is division?Division is one of the four fundamental arithmetic operations that allows integers to be connected to produce new numbers. Addition, subtraction, and multiplication are the other operations. Division is the process of dividing a given amount into equal pieces in mathematics. For example, a group of 20 people can be divided into four groups of five people each, or five groups of four people each, and so on. Splitting anything involves dividing it into two or more equal halves, such as an area, class, category, group, or division. To divide something simply is to cut it in half and give it to a group.
Here,
A number's components are the numbers that split equally into it. To determine the factors of 13, divide 13 by each number from 1 to 13 and see if the result is an integer or not. 13 has two factors: 1 and 13.
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25 points! trigonometric ratios maze
is it 24/7, 7/24, 7/25?
and which side is the opposite side, adjacent side, and hypotenuse side?
thanks in advance
well, you can look at it this way, if you bend down and put your eye on the angle, the side that you will see across the triangle is going to be the opposite side, so the opposite side is always the side facing off the angle. The adjacent side, is the "adjacent" or "next to" the angle, well, the opposite is across the expanse so is not touching the angle, so the other side that's not slanted is the adjacent or next to the angle.
In this case if we put our eye on the vertex A, what's across the expanse is BC, so the adjacent must be AB.
\(\tan(A )=\cfrac{\stackrel{opposite}{7}}{\underset{adjacent}{24}}\)
Evaluate 3x-4 when x=5
Answer: 11
Step-by-step explanation:
Substitute x with 5.
3(5)-4=11
Answer:
11
Step-by-step explanation:
Plug in 5 for x to get the following expression:
3(5) - 4
Then just solve:
15 - 4
11
Multiply the factor and expre the following expreion in implified radical form. (36‾√)(22‾√)(415‾‾‾√)
The expression after multiplying the factors in the form is -573.21.
The provided expression is (-√36)(-√22)(-√415).
We have to multiply the factor and express in the radical form.
Let us solve this step by step and one by one,
(-√36) = -6
Now, for -√22,
-√22 = -4.69
Now, for -√415,
-√415 = -20.37
Now, we have to simply multiply these three values and that will be the radical form,
So,
(-√36)(-√22)(-√415) = -6 x -4.69 x -20.37
(-√36)(-√22)(-√415) = -573.21
So, the expression after simplification is -573.21.
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What is 3/4 - 1/6 ÷ 1/3 =?
Answer:
1/4
Step-by-step explanation:
= 3/4 - 1/2
= 1/4
In rodrigo's toy bin there are 15 red blocks. there are 8 more yellow blocks than red blocks. there are also 10 more blue blocks than red blocks. how many blocks are there in all?
According to the given statement There are 63 blocks in all in Rodrigo's toy bin.
To find the total number of blocks in Rodrigo's toy bin, we need to add the number of red, yellow, and blue blocks together. .
Given that there are 15 red blocks, we know that there are 8 more yellow blocks and 10 more blue blocks than red blocks. So, we can calculate the number of yellow blocks by adding 15 (red blocks) + 8 = 23 yellow blocks.
Similarly, we can calculate the number of blue blocks by adding 15 (red blocks) + 10 = 25 blue blocks.
To find the total number of blocks, we add the number of red, yellow, and blue blocks together: 15 (red) + 23 (yellow) + 25 (blue) = 63 blocks.
Therefore, there are 63 blocks in all in Rodrigo's toy bin.
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There are 15 red blocks, 23 yellow blocks, and 25 blue blocks in Rodrigo's toy bin, making a total of 63 blocks.
In Rodrigo's toy bin, there are 15 red blocks. We are told that there are 8 more yellow blocks than red blocks and 10 more blue blocks than red blocks. To find out how many blocks there are in total, we need to add the number of red blocks, yellow blocks, and blue blocks together.
Let's start with the red blocks. We know that there are 15 red blocks.
Next, we can calculate the number of yellow blocks. Since there are 8 more yellow blocks than red blocks, we can add 8 to the number of red blocks. So, the number of yellow blocks would be 15 + 8 = 23.
Similarly, for the blue blocks, we add 10 to the number of red blocks. So, the number of blue blocks would be 15 + 10 = 25.
Finally, to find the total number of blocks in Rodrigo's toy bin, we add the number of red, yellow, and blue blocks together.
15 (red blocks) + 23 (yellow blocks) + 25 (blue blocks) = 63 blocks.
So, there are a total of 63 blocks in Rodrigo's toy bin.
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The product of (px + qy)(ax − by) is
Answer:
The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.
Step-by-step explanation:
Answer: apx^2-bpxy+aqxy-bqy^2
Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.
List the factors of 0???
Answer: 7, 17, 96, are the factors of 0.
Step-by-step explanation:
Answer:
0 ,7, 17, 96
Step-by-step explanation:
A bag contains twenty $\$1$ bills and five $\$100$ bills. You randomly draw a bill from the bag, set it aside, and then randomly draw another bill from the bag. What is the probability that both bills are $\$1$ bills
The probability that both bills are $1 is 0.76
How to determine the probabilityFollowing the selection of one $1 bill, the remaining number of $1 bills in the bag is reduced to 19.
Based on statistical analysis, there is a high likelihood of selecting a $1 bill on the second attempt, with a confidence level of 95%.
The probability of drawing two $1 bills is mathematically deduced to be zero. The attainment of a numerical outcome of 76 is contingent upon the computation of the product derived from the probability of selecting a $1 bill during the initial endeavor, which stands at 4 out of 5, and the likelihood of selecting another $1 bill in a consequent endeavor, which amounts to 19 out of 20.
In an alternative expression, the probability of two bills being $1 bills simultaneously is 76%.
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Tamar's house is greater than 472 and less than 500 which number can be on Tamar's house?
490
472 <490<500
it fits the criteria
let a=(−2,8,3) and b=(−3,−10,5) be vectors. (a) find the scalar projection of b onto a
The scalar projection of b onto a is -7.33.
The scalar projection of a vector b onto a vector a is the magnitude of the component of b that is parallel to a. It is calculated by taking the dot product of the two vectors, and dividing it by the magnitude of a. Mathematically, this is represented by the equation:
(a⋅b)/|a|
In this example, the dot product of vectors a and b is equal to -66, and the magnitude of vector a is equal to 9. Therefore, the scalar projection of b onto a is equal to -7.33.
To calculate the scalar projection, we first need to calculate the dot product of a and b. To do this, we take the components of each vector and multiply them together. For vector a, this is done by taking -2 multiplied by -3, 8 multiplied by -10, and 3 multiplied by 5. We then add all of these products together to get the dot product of a and b, which is equal to -66.
Next, we calculate the magnitude of vector a, which is done by taking the square root of the sum of the squares of its components. For vector a, this is equal to the square root of (-2)^2 + (8)^2 + (3)^2, which is equal to 9.
Finally, we divide the dot product of a and b by the magnitude of a, which is -66 divided by 9, which is equal to -7.33. Therefore, the scalar projection of b onto a is -7.33.
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User who answers gets 11 points
Evaluate y(-3) - 7x
When x = 8, y = 2
Answer:
The answer to the question provided is -62.
590 5. Explain how you would simplify 336
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression or be more specific on question. even in radical expression Nothing further can be done with this topic.
336
Which graph is defined by the function given below?
y=(x-2)(x+5)
-10
10
A.
10
V
-10
OA. Graph A
OB. Graph B
OC. Graph C
OD. Graph D
-10-
B.
10
-10
10
-10
C.
10
-10
10
D.
10
3
Answer:
graph A is the correct graph.
The graph of the function is plotted by graph A
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = ( x - 2 ) ( x + 5 )
To find the x-intercepts (or zeros) of the function f(x) = (x - 2)(x + 5), we need to set the function equal to zero and solve for x.
f ( x ) = ( x - 2 ) ( x + 5 ) = 0
This product is zero if and only if one of the factors is zero. So we can set each factor equal to zero and solve for x.
x - 2 = 0 or x + 5 = 0
x = 2 or x = -5
Hence , the x-intercepts of the function are x = 2 and x = -5 and the graph is plotted
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The measure of an angle is four times the measure of its supplementary angle. What is the measure of each angle?
Answer: 1 angle is 144° and the other angle is 36°
Step-by-step explanation:
To find the smaller angle you would do:
1. x+4x=180
2. 5x=180
3. x=36
Then for the larger angle it would be 36×4=144
Find an equation for the tangent line to the graph of y= (x³ - 25x)^14 at the point (5,0). The equation of the tangent line is y = ______ (Simplify your answer.)
The equation of the tangent line to the graph of y = (x³ - 25x)^14 at the point (5,0) is y = -75x + 375.
To find the equation of the tangent line, we need to determine the slope of the tangent line at the given point (5,0). The slope of a tangent line can be found by taking the derivative of the function with respect to x and evaluating it at the point of tangency.
First, let's find the derivative of y = (x³ - 25x)^14. Using the chain rule, we have:
dy/dx = 14(x³ - 25x)^13 * (3x² - 25)
Next, we substitute x = 5 into the derivative to find the slope at the point (5,0):
m = dy/dx |(x=5) = 14(5³ - 25(5))^13 * (3(5)² - 25) = -75
Now that we have the slope, we can use the point-slope form of a line to determine the equation of the tangent line. The point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) is the point of tangency and m is the slope. Plugging in the values (x₁, y₁) = (5,0) and m = -75, we get:
y - 0 = -75(x - 5)
y = -75x + 375
Thus, the equation of the tangent line to the graph of y = (x³ - 25x)^14 at the point (5,0) is y = -75x + 375.
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You noticed that the casino uses the unfair dice (i.e., not all faces have the same probability of loss). At the same time, you found that the probability of an even number shown on its upper surface is 0.6, the probability of a number multiple of 3 is 0.3, and the probability of a 1 or 5 is 0.22. Find the probability that the number 3 will face up on this die.
P(facing up 3) = ?
Round the answer to the second decimal: 0.01
Given, The Probability of an even number shown on its upper surface is 0.6
The probability of a number multiple of 3 is 0.3
The probability of a 1 or 5 is 0.22The probability that the number 3 will face up on this die is to be found out.
Let's solve the problem now.
The total probability of getting any face is 1. Therefore, probability of getting an odd number = 1 - probability of getting an even number= 1 - 0.6= 0.4Probability of getting a multiple of 3 is given to be 0.3, and thus,
Probability of getting a number that is not a multiple of 3 = 1 - probability of getting a multiple of 3= 1 - 0.3= 0.7
Also, Probability of getting a 1 or 5 is 0.22.
Since the dice is unfair, the probability of getting any other number may not be equal.
So, let's say probability of getting a 2 is a, probability of getting a 4 is b, probability of getting a 6 is
.We can form an equation now as all probabilities sum up to 1.22 + a + b + c = 1 ⇒ a + b + c = 0.78
Also, probability of getting a 1 or a 5 is given by: Probability of getting a 1 + Probability of getting a 5= 0.22a + c = 0.22/2 = 0.11 ......
Now, since probability of getting a 3 is a multiple of 3 and also odd, it can only be formed by adding 3 and any other number.
Thus, we can form another equation:
Probability of getting a 3= Probability of getting a 1 + Probability of getting a 2= Probability of getting a 1 + Probability of getting a 4= Probability of getting a 5 + Probability of getting a 2= Probability of getting a 5 + Probability of getting a 4Equating these, we get:a + b = a + c = b + c⇒ b = c
Hence, we can write the 4 equations: a + b + c = 0.78 (obtained earlier) 2a + b = 0.3 (obtained from probability of getting multiple of 3) a + c = 0.11 (obtained from probability of getting a 1 or a 5) b = c (as explained above)
Solving these equations, we get:b = c = 0.105 a = 0.09 Substituting these values in the probability of getting a 3:Probability of getting a 3= Probability of getting a 1 + Probability of getting a 2= Probability of getting a 1 + Probability of getting a 4= Probability of getting a 5 + Probability of getting a 2= Probability of getting a 5 + Probability of getting a 4= 2(a + b)= 2(0.09 + 0.105)= 0.39
Thus, the probability of getting 3 when the unfair die is thrown is 0.39 (approx).
Therefore, P(facing up 3) = 0.39The required probability of the number 3 will face up on this die is 0.39, rounded to the second decimal: 0.01.
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