Answer:
\(6y^{2}\)\(+ 2x^{2}\)
Step-by-step explanation:
\(2y^{2} +2y+2y + 2x^{2}\)
add the like terms and you get your answer :3
what is the equivalent fraction of 13%
Rewrite the expressions without the absolute value sign. |x+12| , if x>−11
Answer: The absolute value of a number is its distance from 0 on the number line. For any real number x, the absolute value of x is defined as:
|x| = x if x >= 0 |x| = -x if x < 0
In the given expression, |x+12|, we need to consider the condition that x > -11. If x > -11, then x+12 > 1. Since x+12 is positive, we can remove the absolute value sign and the expression becomes x+12.
So, the given expression |x+12| can be rewritten without the absolute value sign as x+12 when x > -11.
Hope this helps! <3
the sum of two rational numbers is 8 if one of the numbers is -5/6 find the other
Answer:53/6
Step-by-step explanation:
Let X be the other rational number
-5/6+X=8
Add 5/6 to both sides
-5/6+5/6+X=8+5/6
0+X= 53/6 (inverse property)
X=53/6. (Identity property)
16-(6x2)÷4 (16-6) +5x2
The solution of the given Question with help of BODMAS is\(-4\)
What do you mean by simplification?A mathematical expression is simplified by being replaced with a more straightforward equivalent.
I) Important Considerations for Handling Simplification Questions
II) Substitute "of" for "multiplication," and "/" for "division."
III) Always carry out operations in accordance with "BODMAS."
IV) Division and multiplication are equally important (start from the left)
V) Both addition and subtraction are equally important.
\(16 - (6*2)/4(16-6) +5*2\)
Step 1: solve Brackets
\(16- (62)/4(16-6)+52\)
Step 2: solve Division
\(16- 3(10)+10\)
Step 3: solve Multiplication:
\(16-30+10\)
Step 4: solve Addition:
\(26-30\)
Solve :solve Subtraction
\(-4\)
Therefore the answer for the above simplification is\(-4\)
To Know more about BODMAS visit:
https://brainly.com/question/29795897
#SPJ1
K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.
h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?
Other answer formats are possible.
===========================================================
Explanation:
Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.
What we'd do is two things
Subtract 54 from both sides Divide by 10So the steps look like this
h = 54 + 10a
h-54 = 10a
(h-54)/10 = a
a = (h-54)/10
Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.
That means the equation h = 54+ca solves to a = (h-54)/c
---------------------------
Why did I do those examples? To build up to the equation your teacher gave you.
Let's replace c with 0.5t^2
This is because 1/2 = 0.5
The 1/2at^2 is the same as (1/2t^2)a
So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)
As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.
Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)
---------------------------
Here's another way to solve:
h = 54 + (1/2)at^2
h-54 = (1/2)at^2
2(h-54) = at^2
2h-108 = at^2
(2h-108)/(t^2) = a
a = (2h-108)/(t^2)
In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.
Ms. Sperlak bakes 3 1/2 pies in 20 minutes. At this rate how many pies can she bake in 1 hour? 2 hours? (This is math)
Find the measure of angle AEB
Answer:
∠ AEB = 114°
Step-by-step explanation:
the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is
∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°
g The bursar a conducts a test of hypothesis that the mean amount of student debt a WCU undergrad will leave college with is equal to $10,000, versus the alternative that it is less than $10,000. The data leads to the rejection the null hypothesis. However, it is learned later that the mean is indeed $10,000. What type of error (if any) occurred
Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
give me a answer, pls
Answer:
C
Step-by-step explanation:
The total length of a beach towel is 28 inches. If there are 6 beaches towels laid right next to each other side-by-side, what is the total length of the towels?
Answer:168 inches
Step-by-step explanation:
the answer is 168 inches because 28 times 6 is equivalent to 168 and then u have to put the inches on the end.
Help pleaseee!! I will give brainlist
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
Read more about circles at
https://brainly.com/question/25871159
#SPJ1
4 There are between 20 and 50 flags.
They can be shared equally among
2 tents or 4 tents or 5 tents.
How many flags are there?
When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.
How to illustrate the information?From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.
It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.
Therefore, the number of flags is 40.
Learn more about multiples on:
brainly.com/question/26856218
#SPJ1
what is the slope? pls help
Answer:
0
Step-by-step explanation:
Since the line is horizontal and it isn't moving up or down and is in a still motion, the slope would be 0.
May I please have brainliest? Thank you!
how to find area of irregular shapes?
Finding the area of irregular shapes can be challenging, as they do not have a regular geometric formula to calculate their area. However, there are a few methods you can use depending on the shape and available information. Here are three common approaches:
Break it into simpler shapes: If the irregular shape can be divided into simpler geometric shapes (such as rectangles, triangles, circles, or trapezoids), you can calculate the area of each individual shape and then sum them up to find the total area. This method is called the “composite shape” or “dissection” method.Approximation using grids: If you have a grid or graph paper, you can overlay it on the irregular shape and count the number of squares that are fully or partially covered by the shape. Multiply the number of squares by the area of each square to estimate the area of the irregular shape. This method is known as the “grid method” or “counting squares.”Using calculus: If you have an equation or a graph of an irregular shape, you can use calculus techniques to find the area. By integrating the function that represents the shape's boundary or using numerical integration methods, you can determine the area under the curve. This method is more advanced and requires knowledge of calculus.It's important to note that these methods provide approximations and may not yield exact results, especially for highly complex irregular shapes. Additionally, there may be specialized techniques for specific types of irregular shapes. In some cases, using computer software or online tools designed for area calculations can also be helpful.
Remember to carefully assess the shape and available information to choose the most suitable method for finding the area of an irregular shape in your specific situation.
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
Read more about area at
https://brainly.com/question/24487155
#SPJ1
NUMBER 3 PLEASEEEEEEEE
Answer:
(-1,3), (1,0)
Step-by-step explanation:
What is thereaction of newton
Answer:
Newton third law's: action and reflection
this third law's state that for every action(force)
in nature there is an equal and opposite reaction..
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
To know more about fraction visit:
https://brainly.com/question/10354322
#SPJ1
Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
The Inequality which ensure triangle exists is A. 7/4 < x < 11/2
What is the inequalityInequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.
Learn more about inequalities on
https://brainly.com/question/24372553
#SPJ1
A credit card company advertises an APR of 14.7 compounded daily. What is the effective interest rate.Round your answer to two decimal places
Answer:15.83
Step-by-step explanation:
15.83 cuz I did it
A plastic page designed to hold trading cards will hold up to 8 cards. How many pages will be needed to store 583 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 583 cards is (blank).
Answer:
73 pages
Step-by-step explanation:
You want the number of pages required to hold 583 cards when each page will hold 8.
Least integerThe number of pages required is ...
(583 cards)/(8 cards/page) = 72 7/8 pages
The least integer greater than this number is 73
The number of pages needed to store 583 cards is 73.
When log cabins are being built, cable can be used to ensure the cabin walls are built at 90° angles to each other and to the floor. The diagram shows the dimensions of a one-room cabin and a dotted line representing a cable.
Answer:
9000000000090000000000
Step-by-step explanation:
Answer:
cal userial aprge unt??a
Step-by-step explanation:
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
A bag contains 6 batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select 3 batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected
Answer:
there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.
Step-by-step explanation:
The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.
In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:
Select the first battery. There are 6 choices for the first battery.
Select the second battery. There are 5 choices left for the second battery, since we've already selected one.
Select the third battery. There are 4 choices left for the third battery.
Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:
6 x 5 x 4 = 120
Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.
Find the slope of the line through each pair of points
(10, -14), (11,11)
Hello there! I can help you with joy! :)
If we have 2 points, then we can find the slope using this formula:
m=\(\frac{y2-y1}{x2-x1}\)
y2=11
y1=-14
x2=11
x1=10
\(\frac{11-(-14)}{11-10}\)
\(\frac{11+14}{1}\)
25
Hope this helps you!
#HaveAnAmazingDay
\(GraceRosalia\)
Can someone help !!
2. What is the probability that you select a Jack given that it is a Club?
P(Jack∣Club)=
3. What is the probability that you select a Club given that it is a Jack?
P(Club∣Jack)=
4. What is the probability that you select a card that is NOT a Jack given that it is NOT a Club?
P(NotJack∣NotClub)=
5. What is the probability that you select a card that is NOT a Club given that is it NOT a Jack?
The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.
The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.
The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38
The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47
The probability that you select a Jack given that it is a Club P(Jack|Club):
There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.
So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)
P(Jack|Club) = 1 / 13
The probability that you select a Club given that it is a Jack
P(Club|Jack):
P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes
P(Club|Jack) = 1 / 4
The probability that you select a card that is not a Jack given that it is not a Club
P(NotJack|NotClub):
The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).
P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes
P(NotJack|NotClub) = (48 - 1) / (39 - 1)
=47/38
P(NotClub|NotJack) = (39 - 1) / (48 - 1)
=38/47
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
Please help me solve x and z
Answer: Z = 107 as the opposite angles are equal. Then to find x, z is on the same line as (10x+3) so,
107+10x+3=180°
10x+3= 180-107
10x+3= 73°
now,
10x= 73-3 = 70
x= 70/10
x= 7
Hence z= 107 and x=7
pls mark brainliest
Answer:
\(x=7\\z=107\)
Step-by-step explanation:
First we can solve for x,
107 and 10x+3 is straight line which is 180 so make an equation:
\(107+(10x+3)=180\)
\(10x +107+3=180\)
\(10x+110=180\)
\(10x=180-110\)
\(10x=70\)
\(x=70/10\)
\(x=7\)
10(7) + 3 = 73
{CHECK: 107 + 10(7) + 3 = 180}
Now, let's find the value of z
As we have the value of x it will be easy to find z by forming an equation:
\(z+73=180\)
\(z=180-73\)
\(z=107\)
{CHECK: 107 + 73 = 180}
hope this helps :)
help please i need helpp