Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
Have a great day and stay safe !
What are the results of
(3 + 1) + 27 ÷ 9 =
Answer:
3.4
Step-by-step explanation:
PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
(3+1)=4
4+27=31
31 ÷9=3.4
(hope this helped)
The result of expression(3 + 1) + 27 ÷ 9 = 7 .
What is order of operations?Order of operations is a set of rules to perform operations in an arithmetic expression.
PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
Given expression
(3 + 1) + 27 ÷ 9
Using order of operations,
Solving Parentheses
= 4 + 27 ÷ 9
Solving Division operation
= 4 + 3
Solving Addition operation
= 7
Hence, 7 is the result of the expression (3 + 1) + 27 ÷ 9 .
Learn more about order of operations here:
https://brainly.com/question/13079176
#SPJ2
Olivia's team played 8 games of basketball. During those 8 games her team's score was: 70, 67, 79, 66, 64, 80, 64 and 75. Find the mode and range
Round to the nearest TENTH.
Question 3 options:
Answer:
64 is the mode and
it goes from 64, 64, 66,67, 70, 75, 79, and 80, so the range is 80- 64 which is 16
Step-by-step explanation:
Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.
Answer:
Kari = 20 hours
Chris = 10
Mark = 10
Explanation:
K is Kari's hours
C is Chris's hours
Karis = 2 x C = K
Chris = C
Mark = C
3C - 10 = K
Assume C is 10 (since 10 is 1/3 of the hours mentioned)
2 x 10 = 20 so K worked 20 hours
20 is twice as much as 10 (C's hours)
and it's 30 - 10 (10 less than 3 times as many hours as Mark)
what decimal is greater than 1.434.
a. 1.443
b. 1.034
c. 1.340
d. 1.433
Answer:
the correct answer is A
Step-by-step explanation:
1.443-1.434
= 0.009
HELP HELP HELP I’ve BEEN STUCK ON THIS QUESTION IVE ASKED LIKE 3 TIMES ALREADY....ILL GIVE BRAINLY!!
Answer:
y = -3/4x - 3
Step-by-step explanation:
first lets find the slope what is rise over run
to get from (0, -3) to (-4,0) u have to rise 3 and go back 4
the slope would be -3/4
the last part is were it hits the y axis - ( -3) so it be -3
NO LINKS. Find the measure of the angle or arc indicated. Part 2
9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
__
14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
__
15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
Answer:
Solution given:
14.
34x+55x+2=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
89x=180°-2
x=178/89
x=2°
now
m arc VX=2× <H[ central angle is twice the inscribed angle standing on a same base]
m arc VX=2(34×2)=136°
Option C.
15.
Solution given:
<B=80°
<C=½ arc AB[central angle is twice the inscribed angle standing on a same base]
<C=½×120°=60°
we have
<A+<B+<C=180°[ sum of interior angle of a triangle is 180 ]
<A=180-80°-60°
<A=40°
option C.
m∠1=(3x+21)° and m∠3=(4x+9)° what is the value of x
Value of [tex]x[/tex] as per considering given pair as vertical opposite angles is equals to [tex]12[/tex] degrees.
What are vertical opposite angles?" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."
According to the question,
Given measure of angles,
[tex]m \angle1 = (3x + 21)\°[/tex]
[tex]m \angle3= (4x + 9)\°[/tex]
Consider both the angles as vertically opposite angles we get,
[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]
Hence, value of [tex]x[/tex] as per considering given pair as vertical opposite angles is equals to [tex]12[/tex] degrees.
Learn more about vertical opposite angles here
https://brainly.com/question/18045519
#SPJ2
Which of the following is the quotient of the rational expression shown below? 2x+5/3x divided by 2x-1/2x+1
Are ΔSUT and ΔXWV similar? If so, state the reason and the similarity statement.
Question 4 options:
A)
Yes; SSS; ΔSUT ∼ ΔXWV
B)
Yes; SAS; ΔSUT ∼ ΔXWV
C)
Yes; SSS; ΔTSU ∼ ΔXWV
D)
The triangles aren't similar.
Answer:
Yes (SSS) Triangle SUT is congruent to triangle XWV
Step-by-step explanation:
15/10 = 1.5
9/6 = 1.5
12/8 = 1.5
In ΔSUT and ΔXWV the given sides are in proportion. Therefore, option A is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
The given two triangles are ΔSUT and ΔXWV.
From the triangle SUT, SU=10, UT=8 and ST=6
From the triangle XWV, VW=12, XW=15 and VX=9
Now, SU/XW = UT/VW = ST/VX
10/15 = 8/12 = 6/9
2/3 = 2/3 = 2/3
The given sides are in proportion.
So, by SSS similarity ΔSUT∼ΔXWV
Therefore, option A is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ2
Simplify the variable expression below as much as possible.
3x + 2y + 5-3
Answer:
3x+2y+2=0
3x=-2y-2
x=-(2y+2)/3
Step-by-step explanation:
What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7
Answer:
C. 5 3/4
Step-by-step explanation:
You have to write all numerators above the common denominator
4+7/4=16+7/4
Add the numbers together
16+7/4=23/4
Simplify the fraction
23/4=5 3/4
The base of a rectangular prism has an area of 6 cm². The height of the
rectangular prism is 5 cm. What is the volume of the prism?
Answer:
30 cm ^3
Step-by-step explanation:
Volume = Length x Width x Height
L and W =6cm^2
H=5cm
Hope this helps!
What is the lowest whole number for hypotenuse c when using the formula [tex]\sqrt{a^2+b^2}[/tex] and a = b?
9514 1404 393
Answer:
0
Step-by-step explanation:
If a=b, you are asking for a whole number c such that ...
c = √(a² +a²) = a√2
If 'a' is a whole number, the only whole numbers that satisfy this equation are ...
c = 0 and a = 0.
0 = 0×√2
The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.
__
√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.
_____
Additional comment
If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.
Click on three points that are solutions to y = 2x + 1.
A. (0,0)
B. (0, 1)
C. (1,0)
D. (1,3)
E. (2,5)
F. (4,8)
Answer:
B, D, E
Step-by-step explanation:
Solve the simultaneous equations
4x3y=32
4x-y=16
Step-by-step explanation:
Solve equation [2] for the variable y
[2] y = -4x + 16
// Plug this in for variable y in equation [1]
[1] 4x + 3•(-4x+16) = 32
[1] -8x = -16
// Solve equation [1] for the variable x
[1] 8x = 16
[1] x = 2
// By now we know this much :
x = 2
y = -4x+16
// Use the x value to solve for y
y = -4(2)+16 = 8
Solution :
{x,y} = {2,8}
A circle is placed in a square with a side length of 10 mm, as shown below. Find the area of the shaded region.
Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
21.5
Step-by-step explanation:
The area of the shaded region is 21.5 mm².
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given is a circle inside a square.
Area of a square = a², where 'a' is the side length.
Here, a = 10 mm
Area of square = 10² = 100 mm²
Area of a circle = π r², where r is the radius of the circle.
Diameter of circle = 10 mm
Radius of the circle = 10/2 = 5 mm
Area of the circle = (3.14) (5²) = 78.5 mm²
Area of the shaded region = Area of square - Area of circle
= 100 mm² - 78.5 mm²
= 21.5 mm²
Hence the area is 21.5 mm².
Learn more about Area here :
https://brainly.com/question/29008139
#SPJ2
Only answer if you’re sure... will give Brainly thank you :)
Answer:
Step-by-step explanation:
f(x) = x^2 + 3x - x/2
f(x) = x^2 + 2.5x
3x - 1/2x = 6x/2 - 1/2x = 5x/2 = 2.5x
f(6) = 6^2 + 2.5*6
f(6) = 36 + 15
f(6) = 51
What is the volume of the rectangular prism? . choices: (63yd^3) (7yd^3) (22.5yd^3) (189yd^3)
Answer: (7yd^3)
Step-by-step explanation:
Width= [tex]3*\frac{1}{3}[/tex]
Length= [tex]7*\frac{1}{3}[/tex]
Height= [tex]9*\frac{1}{3}[/tex]
Width= 1
Length= 2.33333333333...
Height= 3
1*2.33333333333*3= 6.99999999999
6.99999999999 is round up to 7
So that would be (7yd^3)
Answer:
Step-by-step explanation:
I just did the test. Answer is 7yd
You are giving a bag of jelly beans. There are 7 red, 8 blue, 4 elbow, and 10 pink. Find the probability of eating 3 red jelly beans in a row
Imagine we paint a 4x4x4 cube blue on every side.how many of the small cubes have 3 blue faces? How many have 2 blue faces? How many have 1 blue face? How many have not been painted at all? And how many faces would be painted in a cube of any size.think visually
PLEASE ANSWER ASAP. WILL MARK BRAINLIEST!
Simplify the expression. - 17b + a +235 + 240
Answer:
a-17b+475
Step-by-step explanation:
Let's simplify step-by-step.
−17b+a+235+240
Combine Like Terms:
=−17b+a+235+240
=(a)+(−17b)+(235+240)
=a+−17b+475
Answer:
=a−17b+475
The TSA decides to hold back for inspection 4% of all pieces of carry-on luggage. Assuming selections are independent, for the next 150 pieces of luggage, a) find the exact probability that 7, 8, or 9 will be selected. Interestingly enough, this is a case where two of our approximation methods may be appropriate. b) Using Poisson approximation, recalculate the probability from a), and compare. c) Using normal approximation, recalculate the probability from a), and compare
Answer:
a) 0.3140
b) 0.3098
c) 0.3447
Step-by-step explanation:
Given data :
p = 4% = 0.04
Assuming selections are independent for next 150 pieces
n = 150
a) Probability that 7,8,9 will be selected
P( 7,8,9 ) = 0.3140
b) probability that 7,8,9 will be selected using Poison approximation
P( 7,8,9 ) = 0.3098
c) using normal approximation to determine the probability from ( a )
P ( 7,8,9 ) = 0.3447
Attached below is the detailed solution
find two numbers if there sum is -11 and there difference is 41
x = 26. y = -15
Step-by-step explanation:
Let x and y be the two numbers
x + y = 11. #1
x - y = 41. #2
Adding the two equations together, we get
2x = 52 ----> x = 26
Using this value on equation #2, we get
26 - y = 41
or y = -15
Which pair of expressions is equivalent using the Associative Property of Multiplication?
A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D. 4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answer:
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Let A, B and C be the required expression, according to Associative property;
(A+B)+C = A+(B+C)
This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.
From the given expression, the expression that is equivalent using the Associative Property of Multiplication is 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Note that the product of the values in bracket do not affect the final values
4(2a ⋅ 5) = 4(10a) = 40a
(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a
You can see that both expressions gives the same values
Match the items in a credit card statement to their descriptions.
the maximum credit available on a credit card
determines the finance charge
payable on credit purchases
the amounts debited to the credit card account
the period for which transactions are
recorded in a credit card statement
1.billing cycle
2.annual percentage rate
3.credit line
4.new purchases
Answer:
Billing cycle: The period for which transactions are
recorded in a credit card statement
Annual Percentage Rate: Determines the finance charge
payable on credit purchases
Credit Line: The maximum credit available on a credit card
New Purchases: The amounts debited to the credit card account
Step-by-step explanation:
Took the test on Edmentum and got 5/5
what's the answer to the picture below
9514 1404 393
Answer:
B. √900
Step-by-step explanation:
The solutions to the equation are ...
x = ±√900 = ±3√100 = ±10√9 = ±30
Of the offered choices, the only one that matches any of these is ...
√900
The image
shown at the right contains many triangles.
Describe the different types of triangles found in
the image.
Answer:
Cna you please put a image, I would like that so much so I can help you?
Step-by-step explanation:
DOES ANYONE KNOW THE ANSWERS TO THESE PROBLEM, PLZ HELP!
Answer:
Q.1.
Sum of angles of a triangle = 180°
∠A + ∠B + ∠c = 180
(3x - 9) + (4x + 15) + 90 = 180
3x - 9 + 4x + 15 + 90 = 180
7x + 96 = 180
7x = 84
x = 12
∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°
∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°
∠A = 27°
∠B = 63°
Q.2.
[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]
[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]
x = 14
y = 60°
What is equivalent to 3^-5
Answer:
The answer is the choose: (D)
[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]
What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?
Answer:
[tex]S_{10} = 682[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 6; r = 2[/tex]
Required
[tex]S_{10[/tex]
This is calculated as:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]
[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]
[tex]S_{10} = \frac{6 * 1023}{9}[/tex]
[tex]S_{10} = 682[/tex]