1.07
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
In right-angled triangle, the difference between two of the angles is 20 degrees. a) Work out the Size of the angles in the triangle. b) How many solutions are there to A?
Answer:
The sum of interior angles of a triangle is 180°
In a right triangle, one of the three angles is 90°. Therefore, the sum of the other two angles is 90°.
Let a = one unknown angle
Let b = the other unknown angle
As the sum of the angles is 90°:
⇒ a + b = 90°
As the difference between the two angles is 20°:
⇒ a - b = 20°
Rewriting the first equation to make a the subject:
⇒ a = 90° - b
Substituting this into the second equation and solving for b:
⇒ 90° - b - b = 20°
⇒ 90° -2b = 20°
⇒ 70° = 2b
⇒ b = 35°
Substituting found value for b into a = 90° - b and solving for a:
⇒ a = 90° - 35°
⇒ a = 55°
Therefore, the two unknown angles are 35° and 55°
PLEASE HELP!! If f (x) = x^3 - x^2 + x - 1, then f’(2) =
==========================================
Work Shown:
f(x) = x^3 - x^2 + x - 1
f ' (x) = 3x^2 - 2x + 1
f ' (2) = 3(2)^2 - 2(2) + 1
f ' (2) = 9
In step 2, I used the power rule [tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]
I WILL MARK BRAINILIEST !!! Factor the polynomial 20x3 + 34x2 + 6x completely.
2x(2x + 3)(5x + 1)
2x(2x + 1)(5x + 3)
2(2x + 3)(5x + 1)
(4x2 + 6x)(5x + 1)
Solution:
[tex]\text G\text i\text v\text e\text n\ \text e\text x\text p\text r\text e\text s\text s\text i\text o\text n: 20x^{3} + 34x^{2} + 6x[/tex]
Step-1: Find the GCF of the terms.
[tex]20x^{3} \ \ \ = \ \ \ 2 \times 2 \times 5 \times x \times x \times x \\34x^{2} \ \ \ = \ \ \ 2 \times 17 \times x \times x \\ 6x \ \ \ \ \ \ = \ \ \ 2 \times 3 \times x[/tex]
GCF = 2x
Step-2: Factor the expression using the GCF.
[tex]20x^{3} + 34x^{2} + 6x \\\\ {2x(10x^{2} + 17x + 3)}[/tex]
Step-3: Further factorize.
[tex]{2x(10x^{2} + 17x + 3)}[/tex]
[tex]2x(2x + 3)(5x + 1)[/tex]
Thus, the factorized expression is [tex]2x(2x + 3)(5x + 1)[/tex].
Which identity or property is used during the first step when solving the equation 23−8x=16(4x−1)?
Additive Identity
Associative Property
Distributive Property
Multiplicative Identity
Answer:
Multiplicative Identity
Step-by-step explanation:
This is what they all basically mean:
Additive Identity - addition
Associative Property - simplifying
Distributive Property - multiplying brackets, or expanding
Multiplicative Identity - multiplication
In this equation, you first expand 16(4x-1) which uses multiplication but only has one bracket meaning, you use multiplicative identity first.
Solve each equation |3x+9|=30 x=7 x= 1, -19 no solution x=7,-13 |2x+1|=-13 no solution x=-7 x=-14, 12 x=-7, 6 |x+2|+4=11 x=5 no solution x=5, -9 x=7,-11
Answer:
x= -7 x= 5
Step-by-step explanation:
2x + 1 = -13
-1 -1
2x = -14
/2 /2
x = -7
x + 2 + 4 = 11
x + 6 = 11
-6 -6
x = 5
hope this helps (:
The solutions of the given linear equations are: x = 7, - 13; x = 6, - 7; x = 5, - 9, respectively.
What is a linear equation?A linear equation is an equation that has on or multiple variables with the highest power of the variable is 1.
Given equations are:
1. |3x + 9| = 30
⇒ ( |3x + 9| )² = (30)²
⇒ 9x² + 54x + 81 = 900
⇒ 9x² + 54x + 81 - 900 = 0
⇒ 9x² + 54x - 819 = 0
⇒ 9(x² + 6x - 91) = 0
⇒ (x² + 6x - 91) = 0
⇒ (x + 13)(x - 7) = 0
⇒ x = 7, - 13
2. |2x+1| = - 13
⇒ (|2x+1|)² = (- 13)²
⇒ 4x² + 4x + 1 = 169
⇒ 4x² + 4x - 168 = 0
⇒ 4(x² + x - 42)= 0
⇒ (x² + x - 42)= 0
⇒(x - 6)(x + 7) = 0
⇒ x = 6, - 7
3. |x + 2| + 4 = 11
⇒ |x + 2| = 7
⇒ (|x + 2|)² = 7²
⇒ x² + 4x + 4 = 49
⇒ x² + 4x - 45 = 0
⇒ (x - 5)(x + 9) = 0
⇒ x = 5, - 9
Learn more about linear equation here: https://brainly.com/question/17038547
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PLEASE HELP!!!
Only answer if you know
If the circle has a diameter of 2 inches, then it has a circumference of 6.28 inches.
Answer:
True, the diameter=2in and the circumference=6.28
Step-by-step explanation:
The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).
Thus, 6.28 = 2 x pi x r
Solving for r: 6.28/(2 x pi) = r
or: 6.28/(2 x 3.14) = 6.28/6.28 = r
thus r = 1 and since the diameter equals 2 x r, the diameter is 2.
Ali earns 150$ in 4 hours at this rate how many hours will it take him to earn 525
Answer:
14 hours
Step-by-step explanation:
Find the rate of what he earns per hour.
150 ÷ 4 = $37.50
Divide $525 with the rate:
525 ÷ 37.50 = 14
It would take him 14 hours
Molly and Alexa went to Taco Bell. Molly bought three tacos and two burritos and paid 5.40.Alexa bought two tacos and one burrito and paid 3.10.what is the indiviso cost for each taco and each burrito (systems with equations algebra 2)
Answer:
taco is 80 cents burrito is 1.50
Step-by-step explanation:
If you make two equations, multiply one of them by two so burritos have the same constant, subtract and find b. Then, substitute b into one of the equations to find t. Hope it helps. :)
if f(x)=3[tex]x^{2}[/tex]-4, find f(-3)
Answer:
[tex]\sf f(-3) = 23[/tex]
given:
[tex]\sf f(x) = 3x^2 -4[/tex]
to find the output, replace x with the given integer.
solve:
[tex]\sf f(-3) = 3(-3)^2 -4[/tex]
[tex]\sf f(-3) = 3(9) -4[/tex]
[tex]\sf f(-3) = 27 -4[/tex]
[tex]\sf f(-3) = 23[/tex]
Please help! Find the value of x in the triangle. Then classify the triangle as acute, right, or obtuse. Problem is below!
Answer:
83, acute
Step-by-step explanation:
49 + 48 + x = 180
97 + x = 180
x = 83
All angles are smaller than 90 so they all are acute and that makes this trinagle an acute triangle. So cute! :)
Have a great day!!
Please rate and mark brainliest!!
3m+8=15, is it quadratic or not quadratic? If your answer is not quadratic, explain.
3m + 8 = 15 is not a quadratic equation. quadratic equation must have the power of 2 in the quadratic term.
Answer:
Definitely not.
Step-by-step explanation:
3m+8=15
A quadratic equation needs to consist of these values:
x^2+x+y
In this case x can be followed by any coefficient but needs to end with a variable to the power of 2. The second part of this question needs to have that variable- but to no power. Finally, the third part is just a regular integer. We can tell 3m+8=15 is not a quadratic because while it has a variable and integer, it does not have a variable to the power of two.
PLEASE READ AND HELP!
My indoor kitty got out and I don't know how to find her, if you have any tips and tricks that would mean the world to me. I just need her, my older and baby brother are attached to her.
She has no tracker or collar.
Answer:
You should take help from your friend in searching her
Step-by-step explanation:
If you have photo then, you must ask other to help you.
I Don't know what to do
But maybe this will be helpful
Karen, Justin, and Austin sent a total of 94 text messages during the weekend. Austin sent 2 times as many messages as Karen. Justin sent 6 fewer messages than Karen. How many messages did they each send?
Number of text messages Karen sent:
Number of text messages Justin sent:
Number of text messages Austin sent:
Answer:
Karen: 16
Justin :18
Austin:36
Step-by-step explanation:
you don’t need one- I’m smart soooo-
How many solutions does an equation have? Is there always a solution?
Answer:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases.Step-by-step explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
[tex]-2b^2+17b-15[/tex]
Step-by-step explanation:
Given expression:
[tex](b^2+13b-9)-(6-4b+3b^2)[/tex]
Apply rule [tex](a)=a[/tex]:
[tex]=b^2+13b-9-(6-4b+3b^2)[/tex]
Apply the distributive law [tex]-(a-b)=-a+b[/tex] :
[tex]=b^2+13b-9-6+4b-3b^2[/tex]
Subtract the numbers:
[tex]=b^2+13b-15+4b-3b^2[/tex]
Group like terms:
[tex]=b^2-3b^2+13b+4b-15[/tex]
Combine like terms:
[tex]=-2b^2+17b-15[/tex]
Answer:The solution is in the attached file
Step-by-step explanation:
i will mark brainliest!
5. What is the next number?
-9, -4, 1, 6,_
Answer:
11
Step-by-step explanation:
Because it's +5 every number
Answer:
11
Step-by-step explanation:
-9 +5=-4
-4+5=1
1+5=6
6+5=11
$2.50 per 5 cans, find the price per can.
Answer: 50 cents per can
Step-by-step explanation: you do 2.50 divided by 5
Answer:
50 cents per can
Step-by-step explanation:
use a calculator and divide 2.50 by 5
Jack Talon rolled 82 barrels onto the ship's
deck. 50% of those barrels were empty. How
many empty barrels did Jack roll onto the
ship's deck?
Answer:
41
Step-by-step explanation:
You do 50% of 82 which is 41.
Answer: 41 empty barrels
Step-by-step explanation:
if Jack rolled 82 total barrels and 50% of them were empty, that is the same as taking 82 times .5, which gives us 41. This is how we know he rolled 41 empty barrels onto the ships deck.
whats 0.00316 in scientific notation ?
Solve step by step -18=2(-q+4)
Answer:
q=13
Step-by-step explanation:
First, you can multiply to distribute 2 over -9 and 4.
-18=2(-q+4)
-18=-2q+8
Then, you can subtract 8 from both sides.
-18=-2q+8
-26=-2q
Finally, you can divide -2 on both sides.
13=q
Now, you can check by plugging in 13 for the value of q in the original equation.
-18=2(-(13)+4)
-18=2(-13+4)
-18=2(-9)
-18=-18
Hope this helps you! :)
Which scene from "Stray" is an example of rising action?
Doris brings the puppy home for the first time.
Mr. Lacey takes the puppy to the pound.
Doris tries to convince her parents that they should keep the dog.
Doris discovers that her father brought the dog back.
Answer:
D. doris disvobers that her father brought th dog back if it's wrong im sorry
Step-by-step explanation:
100pts...!Determine the image of the point (7, 3) under a rotation of 90° about the origin.
(-7, 3)
(-3, -7)
(-3, 7)
(3, 7)
Answer:
(-3, 7)
Step-by-step explanation:
The rotation of an object turns the object around a fixed point called the center of rotation.
Positive rotations are counterclockwise.
Negative rotations are clockwise.
Therefore, rotation of 90° about the origin means a 90° rotation counterclockwise with (0, 0) as the center of rotation.
The rule for rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore (7, 3) → (-3, 7)
The rule of 90° rotation about the origin is
(x,y)—»(-y,x)Here given point is
(7,3)The new point is
(-3,7)
I need help with this question im stuck
Answer:
Step-by-step explanation:
The number of members divided by 6 is 15.
What is the value of x and y
A x=6.15, y=7
B x=2, y=5
C x=8, y= 9
D x=2✔️14, y= 2✔️10
Answer: D
Step-by-step explanation:
Find the circumference of the circle
Answer:
25.12 feet
.............................
Answer:
C = 25.12 Ft.
Step-by-step explanation:
Formula: C = 2πr
C = 2π (4)
C = 8π
C = 8 (3.14)
C = 25.12 Feet
What is the mean of this data set? {14, 7, 2, 8, 3} Enter your answer as a decimal in the box.
The mean of the data set is 6.8.
What is the mean?Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.
Given
The data set is 14, 7, 2, 8, 3.
The mean of the data set is given by;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8[/tex]
Hence, the mean of the data set is 6.8.
To know more about mean value click the link given below.
https://brainly.com/question/4209766
A circle is drawn on the (x,y) coordinate plane so that the center is at the point (-3,0). If the radius of the circle is 5, then each of the following points lie on the circle's circumference EXCEPT:
Answer:
2,5
Step-by-step explanation:
since radius is 5
each point lies on the circumference that has 5 or -5 in its y coordinates must have -3 in its x coordinate because -3 is the center
then option number 1 is incorrect
second option is correct , -3 + ( -5 ) = -8
third option is correct, -3 + 5 = 2
fourth is correct, -3 is the center and 5 steps on y axis
fifth is the same as fourth but opposite direction
so the first one is the exception