Answer:
f(x) - g(x) = x - 3
Step-by-step explanation:
f(x) - g(x) starting with the basic equation
2x - (x + 3) implementing the values into equation
x - 3 subtracting x and 3 from 2x making 2x into 1x (or just x) and making a negative 3
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).
Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
Solution
We know the angles here are vertical angles and we know that vertical angles are always congruent
Answer:
4 + 6x = 70
6x = 66
x = 11
What is the range of this set of data?
Answer: B) [tex]0 \le y \le 100[/tex]
====================================================
Explanation:
The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.
So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]
The range in interval notation is [0, 100]. The square brackets say to include the endpoints.
------------
Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.
An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles. To the nearest tenth of a degree, what was the angle of elevation?
Answer:
11.5 degrees
Step-by-step explanation:
For future reference trianglecalculator.net is very helpful
The angle of elevation to the nearest tenth of a degree is 11.54°.
What is an angle of elevation?An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.
In trigonometry, the angle of elevation can be determined by using the sine rule.
[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]
[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]
[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]
[tex]\mathbf{ \theta =11.54^0}[/tex]
Learn more about the angle of elevation here:
https://brainly.com/question/88158
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
77 - 2n
Step-by-step explanation:
77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.
PLZZZ HELP WORTH 100 POINTS
A pair of equations is shown below: y = 2x − 1 y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.
Part B: What is the solution to the pair of equations?
Answer: its 7 lol i dont know
Step-by-step explanation:
Please I need help with this math homework ASAP thank you!
Answer:
4
[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]
Vani signed up for a streaming music service that costs $12 per month. The service
allows Vani to listen to unlimited music, but if she wants to download
offline listening, the service charges $1.25 per song. How much total money would
Vani have to pay in a month in which she downloaded 30 songs? How much would
she have to pay if she downloaded s songs?
Answer:
49.5 dollars first part and y=12+1.25x second part
Step-by-step explanation:
What is the value of x? Round the answer to the nearest tenth
Answer:
The answer is A.
Step-by-step explanation:
The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.
Please help ASAP due at 11:15
Answer:
number 8 is d 16 good luck
Given the triangle below, what is m B, rounded to the nearest tenth?
Answer:
82.8
Step-by-step explanation:
LAW OF COSINES
b^2 = a^2 + c^2 − 2ac cos(b) formula
12^2 = 10^2 + 8^2 - 2(10)(8) cos (b) substitute and calculate
144 = 100 + 64 - 160 cos (b) add like terms
144 = 164-160 cos (b) subtract 164
- 20 = -160 cos (b) divide by -160/reduce
1/8 = cos (b) inverse cos each side
b = 82.8
What is the period of the graph of y
5cos(4x + 1) + 3?
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? THANK YOU SO MUCH TO WHOEVER ANSWERS IT I HAVE VERY LITTLE TIME!
Answer:
decreased by 50%
Step-by-step explanation:
[tex]\frac{x}{y}[/tex]
100% - 60% = 40% = 0.4
100% - 20% = 80% = 0.8
[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%
Which expression is equivalent to the given expression?
(3y – 4)(2y + 7) + 1ly – 9
Answer:
16y-6
Step-by-step explanation:
(3y-4)(2y+7)+11y-9
5y+3+11y-9
16y-6
????????????????????????mark me brainliest pls! :}Answer: D. 6y^2 + 24y - 37
Step-by-step explanation:
i would but a homie is running on a flip phone hehe
jus use the distributive thing
If you have $50 in yo ur bank account, deposit a $50 birthday check, and withdraw $20 to buy a shirt, how much is left in your account at the end?
Answer:
80
Step-by-step explanation:
50+50=100-20=80
Nicholas graphed a triangle with vertices of (2, 4), (2, 0) and (5, 0). His classmate, Suzi, graphed a similar
triangle with a perimeter of 36 units. What was the area of Suzi's triangle? Show all work to support your
answer.
An
Step-by-step explanation:
Interior and exterior triangle angles
Answer:
m<S = 38°
Step-by-step explanation:
Given:
m<R = (x + 17)°
m<S = (2x - 2)°
m<T = (5x + 5)°
Required:
m<S
Solution:
First, we will need to determine the value of x by creating an equation. Thus:
m<R + m<S + m<T = 180° (sum of triangle)
Plug in the values
(x + 17)° + (2x - 2)° + (5x + 5)° = 180°
x + 17 + 2x - 2 + 5x + 5 = 180
Add like terms
8x + 20 = 180
8x + 20 - 20 = 180 - 20
8x = 160
8x/8 = 160/8
x = 20
Find m<S:
m<S = 2x - 2
Plug in the value of x
m<S = 2(20) - 2 = 40 - 2
m<S = 38°
The solids are similar. Find the volume of solid B. Write your answer in terms of pi.
Two cylinders are shown. The cylinder at the left is labeled Cylinder A, and the radius of the base is labeled 12 inches. At the bottom of the cylinder reads, V equals 4608 pi cubic inches. The cylinder at the right is labeled Cylinder B, and the radius of the base is labeled 15 inches.
Help please!
69,120
Step-by-step explanation:
You multiply 15 times 4608
The volume of solid B cylinder is 9000π cubic units.
What is a cylinder?
A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.
For the given situation,
Cylinder A:
Let the radius of cylinder A be r1 = 12 inches
Let the height of cylinder A be h1
The volume of the cylinder A, V1 = 4608 π cubic inches
Cylinder B:
Let the radius of cylinder A be r2 = 15 inches
Let the height of cylinder A be h2
The volume of the cylinder A, V2
The formula of volume of cylinder is
[tex]V=\pi r^{2}h[/tex]
For cylinder A,
⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]
⇒ [tex]h1=\frac{4608}{144}[/tex]
⇒ [tex]h1=32[/tex]
Cylinder A and cylinder B are similar, so
[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]
⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]
⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]
⇒ [tex]h2=40[/tex]
Volume of cylinder B is
⇒ [tex]V=\pi (15)^{2}(40)[/tex]
⇒ [tex]V=9000\pi[/tex]
Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.
Learn more about cylinders here
https://brainly.com/question/15891031
#SPJ2
Which of the following ordered pairs is not in the solution set of y < 2x − 5? Question 27 options: (4, 3) (5, 0) (0, −7) (6, 4)
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution
Write the expression using an exponent.
1·7·7·7·7·7
Answer:
7⁵
Step-by-step explanation:
An exponent indicates how many times a number multplies itself.
Examples:
2² = 2* 2
2⁴ = 2 * 2 * 2 * 2
The Ratio of Marbles is 3 green: 7 blue: 5 red. If a bag of marbles has 225 marbles in it,
how many green would you expect in the bag?
Answer:
45 green marbles
Step-by-step explanation:
Green : Blue : Red = 3 : 7 : 5
Fraction of green marbles = [tex]\frac{3}{3+7+5}=\frac{3}{15}[/tex]
Total marbles = 225
Number of green marbles = [tex]\frac{3}{15}*225[/tex]
= 3 * 15
= 45
A new car is purchased for 23700 dollars. The value of the car depreciates at
13% per year. To the nearest year, how long will it be until the value of the car
is 8000 dollars?
Answer:
5 years (about)
Step-by-step explanation:
$23,700 X .13 = $3,081
$3,081 X 5 = $15,405
$23,700 - $15,405 = $8,295
Good luck! hope this helps.
(If you've noticed a mistake in my logic, please comment any corrections)
A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway
Answer:
The width of the pathway is 5.2 feet
Step-by-step explanation:
Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.
Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A
= L( W + t)
Given that the combined area of the garden and the border 311 square feet while the garden is 14 feet by 17 feet
311 = 14 (17 + t)
311 = 238 + 14t
collect like terms
14t = 311 - 238
14t = 73
t = 73/14
= 5.2 feet
Pleaseeeeeeee help me
Answer:
The answer is "The discriminant is positive"
Step-by-step explanation:
When the discriminant is positive there is two real solutions.
When the discriminant is equal to 0, there is one real solution.
When the discriminant is negative, there is no real number solutions.
helppppp meeee, I need all three, I need an explanation tooo
Answer:
Step-by-step explanation:
for the first one: d
MATH HELP PLEASE HELP
Answer:
75 cm
Step-by-step explanation:
150÷2 = 75
Good luck with your exam :)
Answer:
75
Step-by-step explanation:
Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.
We are given the diameter (150) which is a straight line through the middle from one end to the other
To find the radius given the diameter you simply divide by 2
So answer = 150/2 = 75
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y=3x+4
OB. y= 3x - 14
O cy=3x-4
OD. y= 3x+12
Answer:
y = 3x + 4
Step-by-step explanation:
Given:
Coordinates
(-3 , -5)
Slope m = 3
Find;
Equation of slope
Computation:
Given, x1 = -3 and y1 = -5
Equation of slope = y - y1 = m(x - x1)
Equation of slope = y - (-5) = 3(x + 3)
Equation of slope = y + 5 = 3x + 9
Equation of slope = y = 3x + 9 - 5
Equation of slope = y = 3x + 4
y = 3x + 4
The areas of the squares adjacent to two sides of a right triangle are shown below.
What is the area of the square adjacent to the third side of the triangle?
Answer:
[tex]85\:\mathrm{units^2}[/tex]
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:
[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]
Answer:
85
Step-by-step explanation:
We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.
Area of a square=side^2
So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.
For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.
Let's fill in the remaining values:
a^2 + b^2 = x^2
35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.
In the diagram below, A ABC DEF
Which sequence of transformations maps A ABC onto A DEF.
Answer:
basically the opposite
Step-by-step explanation:
its inverted therefore find out how to get c b a and boom