Answer:
299
Step-by-step explanation:
Each term adds 8 to the previous term
an = a1 + (n-1) * 8
38th = 3 + 37 * 8 = 299
two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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Question 8 of 9
Use a calculator to find the correlation coefficient of the data set.
у
2
15
6
13
7
8
12
X
15
13
9
8
5
A. -0.909
B. 0.909
C. 0.953
D. -0.953
Actual data table :
X __ y
2 15
6 13
7 9
8 8
12 5
Answer:
0.953
Step-by-step explanation:
The question isnt well formatted :
The actual data:
X __ y
2 15
6 13
7 9
8 8
12 5
Using a correlation Coefficient calculator, the correlation Coefficient obtained by fitting the data is 0.953 which depicts a strong linear correlation between the x and y variable. This shows that the value of y increases with a corresponding increase in x values and vice versa.
Based on the given information, which statement best explains whether the quadrilateral is a parallelogram?
Answer:
It is a parallelogram because it has either two or more sets of parallel lines
Find RS. Explain your reasoning.
6x + 5 9x - 4
RS=
The value of line RS is 23
How to determine the valueFrom the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.
Note that the sides of a square are equal to each other.
The relationship is represented as;
Line PS = Line PQ = Line QR = Line RS
We have that;
Line PS = 6x - 5Line RS = 9x - 4Substitute the expressions
6x - 5 = 9x - 4
Now, collect like terms
6x - 9x = - 4 - 5
Subtract the like terms
-3x = -9
Make 'x' the subject of formula
-3x/-3 = -9/-3
x = 3
Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23
Hence, the value is 23
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Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.
__
A. Write .42 a repeating decimal form, in a fraction in simplest form?
__
B. Write 2.84 a repeating decimal form, as a mixed number in simplest form
WHO EVER ANSWERS BOTH QUESTIONS CORRECT WINS BRAINLIEST
Answer:
6382 :VVV
Step-by-step explanation:
Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
Are the lines parallel?
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
© 19.0 93% 1:28 PM f Slope from two points What is the slope of the line through (6,9) and (7,1)? Choose 1 answer: A -8 ( (B 1 8 8 D 1 8
The expression for the slope of line passing through two points are :
\(\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}\)In the given question:
Two points are : (6,9) & ( 7,1)
\(\begin{gathered} (x_1,y_1)=(6,9) \\ (x_2,y_2)=(7,1) \\ \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ \text{Slope = }\frac{1-9}{7-6} \\ \text{Slope}=\frac{-8}{1} \\ \text{ Slope = (-8)} \end{gathered}\)Slope = (-8)
Answer : A) - 8
Angles A and C are supplementary. Find the measure of angle C.
Angle EAB is 74 degrees. Angle FCD is undetermined.
How do I solve this problem?
In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.
What are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles.
For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.
Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.
We say two angles "Complement" one other when their sums equal 90 degrees.
So, we already are aware of that:
∠A and ∠C are supplementary
∠A is 74°
Then, ∠C would be:
∠A + ∠C = 180
74 + ∠C = 180
∠C = 180 - 74
∠C = 106
Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.
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Correct question:
Angles A and C are supplementary. Find the measure of angle C.
(Refer to the image below)
Find the rational zeros of 2x3 + 3x2 – 11x - 6
Answer:
(2x+1)(x−2)(x+3)
Step-by-step explanation:
2x3+3x2−11x−6
2x3+3x2−11x−6
=(2x+1)(x−2)(x+3)
Answer:
-1/2
2
-3
Step-by-step explanation:
Choose the equation for the graph. A two-dimensional graph with an x-axis and a y-axis is given. Two straight lines, one passing through co-ordinates (-4,0) and (-5,3) and the other passing through the co-ordinates (-4,0) and (-1,3). A. y = 3|x + 4| B. y = 2|x + 1| C. y = 12 |x – 1|
The answer is A. y = 3|x+4|.
Which is a two-dimensional graph?
A graph with data expressed on both the x-axis and the y-axis is said to be two-dimensional.
The two lines pass through the points (-4,0) and (-5,3), and (-4,0) and (-1,3), respectively. Both lines have a slope of (3-0)/(-5+4) = 3 and (3-0)/(-1+4) = 1, respectively. Therefore, the equations for the lines can be written as:
y = 3(x+4) and y = x+3
To find the equation for the graph that represents both lines, we need to use the absolute value function to combine the two equations. The equation for the graph is:
y = |3(x+4)| + |x+3|
Simplifying this equation, we can write it as:
y = 3|x+4| + |x+3|
Therefore, the answer is A. y = 3|x+4|.
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can some please help with 11 !!!!
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Find the area of the figures given
Answer:
A: 12.5
B: 36
C: 40
D: 88
Step-by-step explanation:
those are the answers
A polygon has vertices at (–5, 3), (–1, 3), (1, 0), and (–3, 0). Which represents a geometric translation of the given polygon 4 units to the right and 5 units down?
The geometric translation of the given polygon 4 units to the right and 5 units down is; (-9, -2), (-5, -2), (-3, -5) and (-7, -5)
How to carry out transformation rule?
The four important rules of transformation are;
Vertical transformation.Horizontal transformation.Stretched transformation.Compressed transformationNow, the transformation rule of moving a units to the right is;
(x, y) = (x - 5)
Thus, moving the polygon by 4 units to the right is;
(–5 - 4, 3), (–1 - 4, 3), (1 - 4, 0), and (–3 - 4, 0)
= (-9, 3), (-5, 3), (-3, 0) and (-7, 0)
Now, when we translate it by 5 units down, we will have;
(-9, 3 - 5), (-5, 3 - 5), (-3, 0 - 5) and (-7, 0 - 5)
= (-9, -2), (-5, -2), (-3, -5) and (-7, -5)
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Answer:
Step-by-step explanation:
its b
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The solution of the inequality, log₂ 2m > log₂ (m + 5) is {m | m > 5 / 2}.
How to solve logarithm inequality?An inequality is an expression that have <, >, ≤ and ≥ . Therefore, let's solve the logarithmic inequality for the variable m.
Hence,
log₂ 2m > log₂ (m + 5)
Therefore, let's divide both sides by log₂.
Hence,
2m > m + 5
subtract m from both sides of the inequality
2m > m + 5
2m - m > m - m + 5
2m > 5
divide both sides by 2
2m / 2 > 5 / 2
Therefore,
m > 5 / 2
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The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 10 feet
square root of 20 feet
square root of 52 feet
square root of 104 feet
The distance from Maria's desk to Monique's desk is \(2\sqrt{13}\)
Given,
In the question:
Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5).
To find the distance from Maria's desk to Monique's desk.
Now, According to the question:
We know that :
The formula of Distance:
\(\sqrt{(x_{2} -x_{1} )^2+(y_{2}-y_{1} )^2}\)
Substitute (2, -1) and (-2, 5) into distance formula:
\(\sqrt{(-2-2)^2+(5+1)^2}\)
Calculate:
\(\sqrt{(-4)^2+(6)^2}\)
\(\sqrt{16+36}\\ \\\sqrt{52}\)
= \(2\sqrt{13}\)
Hence, The distance from Maria's desk to Monique's desk is \(2\sqrt{13}\)
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Answer: square root of 52
Step-by-step explanation:
did the practice test
Draw the polygon with the given vertices in a coordinate plane.
22).(-5,5),(-4,1) pls help
Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.
What are polygons?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.
What is a coordinate plane?A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.
Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.
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You walk 1/4 miles to a shoe store. Then you walk another 2/5 miles to a music store. How many miles ha r you walked in all?
Answer and Step-by-step explanation:
\(\frac{13}{20}\), or 0.65 miles.
Convert both to common denominator, then add together.
They have a common denominator of 20.
\(\frac{1}{4}\) × \(\frac{5}{5} = \frac{5}{20}\)
\(\frac{2}{5}\) × \(\frac{4}{4} = \frac{8}{20}\)
\(\frac{5}{20} + \frac{8}{20} = \frac{13}{20}\)
Answer:
I would walk \(\frac{13}{20}\) or 0.65 miles.
Step-by-step explanation:
\(\frac{1}{4}\) + \(\frac{2}{5}\) = \(\frac{5}{20}\) + \(\frac{8}{20}\) = \(\frac{13}{20}\) or 0.65
Solve
4x-5=0
3x-1/2=0
1/3x+5=0
Please add steps.
Answer:
The solution is x = -15.
Step-by-step explanation:
4x - 5 = 0
Add 5 to both sides:
4x = 5
Divide both sides by 4:
x = 5/4
Therefore, the solution is x = 5/4.
3x - 1/2 = 0
Add 1/2 to both sides:
3x = 1/2
Divide both sides by 3:
x = 1/6
Therefore, the solution is x = 1/6.
1/3x + 5 = 0
Subtract 5 from both sides:
1/3x = -5
Multiply both sides by 3:
x = -15
Therefore, the solution is x = -15.
Step-by-step explanation:
4x-5=0
collect like terms,
4x=5
divide both sides by the coefficient of x, 4
4x/4 = 5\4
4 cancels out on the LHS,
we have x=5\4 as the answer
3x-1\2=0
collect like terms..
3x=1\2
since the RHS is a fraction ,we multiply both sides by 2
6x=1
divide both sides by 6
x=1\6
1\3x+5=0
collect lkke terms...
1\3x=-5
cross multiply, we have
-5(3x)=1
-15x=1
x=1/-15
How many meters are in 214 cm
Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?
Using the given transformations, namely translation and dilation, the correct statement is given as follows:
Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.
TranslationThe translation rule in this problem is given as follows:
(x, y) -> (x + 1, y - 1).
Meaning that the triangle was shifted:
One unit right, due to x -> x + 1.One unit down, due to y -> y - 1.The only change with the dilation was in the position of the triangle, hence the translated triangle is congruent to the original triangle.
DilationThe triangle was dilated by a scale factor of 4, meaning that the coordinates of each vertex of the triangle is multiplied by 4, changing the side lengths of the triangle, thus the dilated triangle is not congruent to the original triangle.
The angles keep the same measure for both cases, translation and dilation, hence the first two statements are incorrect.
The change in the side lengths is proportional, due to the scale factor of 4, hence the correct statement is:
Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.
What is the missing information?The correct options are missing and are given by the image at the end of the answer.
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Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for students at her school. She measured the hands and feet of
100
100100 randomly selected students. Here is a summary of the data and the results from a chi-square test:
The most appropriate conclusion is: A) This is convincing evidence of an association between longer hand and longer foot.
What is chi-square test?The chi-square test is a statistical test used to determine whether there is a significant association between two categorical variables. It is used to compare observed frequencies of data to the expected frequencies to determine if they differ significantly. The test is based on the principle of comparing the difference between the observed frequencies and the expected frequencies, and then determining if this difference is statistically significant.
Here,
At the 0.05 significance level, with a chi-square statistic of 11.942 and 4 degrees of freedom, the P-value is 0.018.
Since the P-value is less than the significance level, we reject the null hypothesis of no association and conclude that there is evidence of an association between longer hand and longer foot.
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Complete question:
Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for 100 randomly selected students. Here is a summary of the data and the results from a chi-square test:
Which conditions will construct a triangle? Mark all that apply.
Angles 30°, 30°, 30°
Angles 40°, 70°, side length 6 cm
Side lengths 11 cm, 4 cm, 8 cm
Side lengths 5 cm, 15 cm, 25 cm
Angles 20°, 150°, 10°
The conditions which will construct a triangle as required to be identified are;
Side lengths 11 cm, 4 cm, 8 cm.Angles 20°, 150°, 10°.What is the Triangle inequality theorem?The triangle inequality theorem suggests that the sum of any two side lengths of a triangle must be greater than the third side and the difference of any two side lengths must be less than the third side.
Also, the sum of interior angles of a triangle is; 180°.
Hence, the conditions as required are; Angles 20°, 150°, 10° and Side lengths 11 cm, 4 cm, 8 cm.
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The length of a box is 18 cm. How long is the box
Answer: 18 cm
Step-by-step explanation:
Length means the same thing as “long” so whatever the length is, that’s how long it is. In this case, 18 cm is the length, so that’s how long it is.
(a) What is the name of shape ABCDE?
b) Measure the length of line AE.answer in cm
The name of shape ABCDE is regular pentagon and the length of line AE is 5 cm
How to name the shapeThe complete question is added as an attachment
From the question, we can see that
The shape ABCDE has 5 equal sides
This means that ABCDE is a regular pentagon
How to determine the length of line AEIn (a), we have
5 equal sides
Given that
BC = 5 cm
We have
AE = 5 cm
Hence, the length is 5 cm
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HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.
Answer:
7
Step-by-step explanation:
the line crosses the 7 on the y axis
i hope this is correct
Which graph shows the solution to the system of linear inequalities?
y > Two-thirdsx + 3
y ≤ Negative one-thirdx + 2
Mark this and return
Answer:
its b i got it right on edge
Step-by-step explanation: