Answer:
The evaluated answer to this equation is 19.
Step-by-step explanation:
2r² + 3s³ - r² + 4t² - r²
In the problem, we are given values for the variables in the equation.
r = -2
s = -3
t = 5
Let's plug these numbers into the equation.
2(-2)² + 3(-3)³ - (-2)² + 4(5)² - (-2)²
First, simplify the exponents.
2(4) + 3(-27) - (4) + 4(25) - (4)
Next, multiply the numbers starting from left to right.
8 + (-81) - 4 + 100 - 4
Add 8 and -81 together.
-73 - 4 + 100 - 4
Subtract 4 from -73.
-77 + 100 - 4
Add -77 to 100.
23 - 4
Subtract 4 from 23.
19
So, your final simplified answer to this equation is 19.
Please answer this question now in two minutes
Answer:
p = 100
Step-by-step explanation:
If Q and T are midpoints, then the triangles URS and UQT are similar triangles and verify the following proportions:
[tex]\frac{QT}{RS} =\frac{UQ}{UR} =\frac{UT}{US} =\frac{1}{2}[/tex]
and all should equal 1/2 because Q and T are midpoints.
Then we study in particular the proportion:
[tex]\frac{QT}{RS} =\frac{1}{2}[/tex]
since we know both segments can be expressed in terms of "p" as indicated in the problem:
[tex]\frac{QT}{RS} =\frac{1}{2}\\\frac{p-87}{p-74} =\frac{1}{2}\\2(p-87)=p-74\\2p-174=p-74\\2p-p=174-74\\p=100[/tex]
please help ! what’s the correct answer ??
ASAP FUNCTIONS HELP ASAP
Answer: B
Step-by-step explanation:
The range of a function is every valid y value, in this case represented by B
which name best describes the group of shapes below????
Answer:
parallelograms
Step-by-step explanation:
It's all about diagonals
Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answer:
x=30
Step-by-step explanation:
2x=y-x
3x=y
2y=180
y=90
x=30.
is (0,0) a solution to this system? y ≥ x^2-4 y<2x-1
Answer:
No.
Step-by-step explanation:
To determine if the ordered pair is a solution, simply plug it into the equation and check. In other words:
[tex]y\geq x^2-4[/tex]
[tex]0\geq (0)^2-4[/tex]
[tex]0\geq -4[/tex]
This is true. 0 is greater than -4.
[tex]y<2x-1[/tex]
[tex]0<2(0)-1[/tex]
[tex]0<-1[/tex]
This is not true. 0 is greater than -1.
Thus, (0,0) is not a solution.
Answer:
(0,0) is not a solution of the given system.
Step-by-step explanation:
0≥-4 true
0>1 false
(0,0) is not a solution of the system.
Which expression is equivalent to 3n+2(1-4n)?
a) 2-n
b) 2-5n
c) 2+11n
d) 2-11n
Samuel chose A as his answer. Explain why he did that.
Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 please help! Which equation best represents the relationship?
y = 1 over 2x + 11
y = negative 1 over 2x + 11
y = 2x + 10 y = 2x + 11
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
Given the table :
X - - - - Y
2 - - - - 10
4 - - - - 9
6 - - - - 8
8 - - - - 7
The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit
y = mx + c
x and y are the variables
m = slope or gradient of the line
c = intercept
The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.
The result obtained from the calculator is:
ŷ = -0.5X + 11
Step-by-step explanation: y = negative 1 over 2x + 11 is the correct answer. I took the test. Have a good day! :D
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answer: 105, 15, 35, 21
Step-by-step explanation:
3 x 5 x 7 = 105
3 x 5 = 15
5 x 7 = 35
3 x 7 = 21
The list of all composite factors of K are 15, 21, 35, 105.
What is Prime Number?A number which can be divisible by only 1 and the number itself, that number is said to be a Prime Number.
What is Composite Number?A number which can be divisible by factors other than 1 and itself are called Composite Numbers.
What is Prime Factorization?The process to write a number by the product of its prime numbers is called Prime Factorization.
Here given that the prime factorization of K is given by,
[tex]K=3\times5\times7[/tex]
Hence the number is [tex]K=105[/tex].
Composite factors of a number are given by the product of prime factors of that number in different combinations.
Here prime factors are 3,5,7
The composite factors are given by,
[tex]3\times5=15\\5\times7=35\\3\times7=21\\3\times5\times7=105[/tex]
Thus the composite factors of K are given by 15,21,35,105.
Learn more about Prime Factorization here -
https://brainly.com/question/92257
#SPJ2
Expand (x +2) (9 - x)
Answer:
-x²+7x+18
Step-by-step explanation:
(x+2) (9-x).
x(9-x)+2(9-x)
9x-x²+ 18-2x
9x-2x-x²+18
7x-x²+18
-x²+7x+18
Answer:
x^2-7x-18
Step-by-step explanation:
Verified Khan Academy Answer
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
53: PLEASE HELP Does -x+4y=-5 represents a direct variation?
Answer:
No, it does not.
Step-by-step explanation:
Immediately from the given equation, we can see that it has a constant (-5).
Direct variation equations are in the form y=kx, where k is an coefficient. There are no constants in direct variations.
300=x^2+15x what is x?
Answer:
x = -26.3746, 11.3746
Step-by-step explanation:
Easiest and fastest way to solve for x is to graph x² + 15x - 300 and analyze where the graph crosses the x-axis.
Alternatively, you can use the Quadratic Formula to help solve for x.
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons?
Answer:
See explanations below
Step-by-step explanation:
In the function
f(x) = x + 30
x represents the volume of coal in cubic yards.
The implicit coefficient of one, i.e. 1x, represents each cubic yard of coal weighs one ton.
The 30 represents the weight in tons of the empty coal car.
Thus when the weight of the coal car is only 26 tons, we replace 30 by 26 to get a new function
f(x) = x + 26.
maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6. Enter a fraction that shows marias claim is incorrect. Choose an answer: a: 6/35 b: 13/70 c: 9/35 d: 16/70
I want to make this clear, this is NOT MY ANSWER! Someone else has already answered this question on here I'm just pasting their answer here so you can get the full details on how it was solved.
We know that 1/5 > 1/6 > 1/7
If we change the numbers to decimals we can see what decimals we can use that are between the number 1/5 and 1/7 .
1/5=.20
1/7≈.14
We can use any number between these two decimals to create a fraction. Let us use .16
.20>.16>.14
Now we can change that number to a fraction.
.16=16/100 which reduced to 4/25
Let's verify:
1/5 > 4/25 > 1/7 find LCM
35/175 > 28/175 > 25/175
One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 4/25.
Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices
Answer:
0.5686
Step-by-step explanation:
The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.
We are given;
p = 0.11
p^ = 8/88 = 1/11 = 0.0909
n = 88
Formula for the Test Statistic is given by;
z = (p^ - p)/(√(p(1-p)/n))
z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))
z = - 0.572642
z ≈ -0.57
Now, from the z-table to find the P-value at z = -0.57 is; 0.2843
Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.
Thus, P-value = 2 × 0.2843 = 0.5686
An interior angle of a regular convex polygon is 135°. How many sides does the polygon have?
Hey there! :)
Answer:
The polygon has 8 sides.
Step-by-step explanation:
Use the sum of interior angles formula to solve.
The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:
135 = (n-2)· 180 / n
Multiply both sides by n:
135n = (n-2) · 180
Distribute the 180:
135n = 180n - 360
Subtract 180n from both sides:
-45n = -360
Divide both sides by -45:
n = 8. The polygon has 8 sides.
Answer:8 sides
Step-by-step explanation:
Which choice is the most efficient first step to solve this set of equations?
Answer:
x + 2x = 30 is the correct answer.
help plz i will make a brainllest quick
plzzz
Answer:
a
Step-by-step explanation:
Answer:
the answer is a.
Step-by-step explanation:
I did this one.
Find the value. X3-4 when x=-3?? PLEASE HELP !!!! ASAP!!!!
Answer:
The other person is correct, my bad I got mixed up with the numbers
Answer:
-31
Step-by-step explanation:
Assuming that you mean
[tex]x^3-4\\(-3)^3-4\\-27-4\\-31[/tex]
What is the area of the triangle in the diagram?
Answer:
I think the answer is B. Let me know if im right
Step-by-step explanation:
l*w*1/2 is the same as 1/2*y*(x2-x1)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we must use vectors :
vector1 (x1-0,y1-0)⇒ vector1(x1,y1)vector2 (x2-0,y1-0)⇒vector(x2,y1)Now to calculte the area of this triangle we must apply this relation :
A= (1/2)*║x1y1-x2y2║
x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)A= (1/2)*y1*(x2-x1)The perimeter of the rectangle above is:
Answer:
A. 8x² + 2y²
Step-by-step explanation:
There is a formula for the perimeter.
2l + 2w
2(4x²) + 2(y²)
8x² + 2y²
The perimeter of the rectangle is 8x² + 2y².
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.
Answer:
Kristen had (3/4) of a granola bar in total.
Then the three other people have 2.25 granola bars to share amongst themselves.
Step-by-step explanation:
Complete Question
Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.
How many granola bars did Kristen eat.
Solution
4 of them bought 3 granola bars.
Then they divide each granola bar into 4 equal portions.
Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.
Each portion is (1/4) of a granola bar.
Kristen then takes 1 portion from the 3 granola bars.
This means she had 3 × (1/4) granola bars.
Kristen had (3/4) of a granola bar in total.
Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.
Hope this Helps!!!
PLEASE ANSWER THIS FAST IM BEGGING YOU A student worked the following problem: Solve: 2(10x + 3) − x = 44 Their work is shown below: Step 1: 20x + 6 − x = 44 Step 2: 19x + 6 = 44 Step 3: 19x = 38 Step 4: x = 2 Which of the following statements is correct? There is an error in Step 1. There is an error in Step 2. There is an error in Step 3. No errors were made. The problem was worked correctly.
Answer:
3. No errors were made. The problem was worked correctly.
Step-by-step explanation:
2(10x + 3) − x = 44
Distribute
20x +6 -x =44
Combine like terms
19x +6 = 44
Subtract 6 from each side
19x =38
Divide by 19
19x/19 =38/19
x =2
Instructions: Find the following information using the given image.
X=
Answer:
I think x=46 but I'm not sure, hope this helps
how many solutions do y=3x-4 y=-2x+7
Answer:
One.
Step-by-step explanation:
It is a linear equation. This means that x is raised to the first power, which there can only be one solution.
Answer:
Hi, the correct answer to your question is Y,X would be (29,11)
ONE SOLUTION
Step-by-step explanation:
First you have to... solve for y
Y equals 2x+7
Next you have to use the variable y and put in into an equation.
2x+7 - 3x = -4 (Also) :) - x = -11
Now you have to solve the equation for the variable x
Which will be 11 (x will be 11)
Finally you have to use x to solve for y
2(11)+7 = 29
Now we have 11 and 29 so the answer to your question will be
= (29,11)
Also this means it has one solution
Btw this is a linear equation...
Hope this helps you! :)