Answer:
29.74 degrees.
Step-by-step explanation:
Tan(theta) = opposite / adjcent.
opposite = 8
adjacent = 14
Tan(theta) = 8/14
Tan(theta) = 0.5714
theta = tan^-1(0.5714)
theta = 29.74 degrees
Given that g(x)=x2 - 2x - 7. find (g 0 g)(-3)
(g 0 g)(-3) =
(Simplify your answer.)
Answer:
41
Step-by-step explanation:
Substitute x = 3 into g(x) then substitute the value obtained into g(x)
g(- 3) = (- 3)² - 2(- 3) - 7 = 9 + 6 - 7 = 8
g(8) = 8² - 2(8) - 7 = 64 - 16 - 7 = 41
a pair of boots are advertised at 40% off. if the original price is $120. what is the sale price of the boots?
Your question asks to find the sales price of the boots.
Answer: $72In order to solve your question, we're going to need to find the sales price of the boots.
Lets gather some important information from the question.
Important information:
Original price is $120
40% off
With the information above, we can find the sales price.
Since we know that the original price of the boots is $120, and the boots are 40% off, we're going to need to find how much of 120 is 40% and then subtract it to get our sales price.
[tex]120*.40=48\\\\120-48=72[/tex]
Once you're done solving, you should get 72.
This means that the sales price of the boots is $72.
$72 should be your FINAL answer.
I hope this helps!Best regards, MasterInvestorAnswer: $72
Step-by-step explanation:
10% of $120 = $12 so
40% is $48, subtracted from $120 = $72
Which equation represents the graphed function?
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0+3}{2-0}[/tex] = [tex]\frac{3}{2}[/tex]
note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = [tex]\frac{3}{2}[/tex] x - 3 → C
Shown below is a right angle triangle. Find the exact length of the side labeled y.
Answer:
sine 30=y/(8+10√2)
(8+10√2)sin 30=y
Check the picture below.
Please help will give brainlist Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
g(x) = x + 3
g(x) = x + 8
g(x) = x − 8
g(x) = x + 2
The equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right will be; g(x) = x + 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that, the parent function f(x) = x + 5 is shifted 3 units to the right
If the function of x is translated horizontally to the right by h units, then the new function will be g(x) = f(x - h)
If the function of x is translated horizontally to the left by h units, then the new function will be g(x) = f(x + h)
Thus, f(x) = x + 5 is shifted 3 units to the right:
The new function is
g(x) = f(x - h)
Here h = 3
f(x) = x + 5
The x in f(x) will change to (x - 3)
= (x - 3) + 5
The new function g(x) = x + 2
Hence, Option D is correct
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Final answer:
The correct equation after shifting the parent function f(x) = x + 5 three units to the right is g(x) = x + 2.
Explanation:
The equation of a function that is shifted 3 units to the right from its parent function, f(x) = x + 5, will incorporate that horizontal shift by subtracting 3 from the variable x before applying the rest of the function. Therefore, the new function, g(x), will have the form g(x) = (x - 3) + 5 which simplifies to g(x) = x + 2. This accounts for the fact that the input to the function is effectively 3 units greater for the same output as the original function.
Which of these statements describe properties of parallelograms? Check
that apply.
Answer:
A, B, C and D.
Step-by-step explanation:
Opposite sides are congruent (B) as well as the 3 that are marked.
Answer:
Options A, B, C and D are correct choices.
Step-by-step explanation:
We are asked to choose the properties of parallelograms from our given choices.
By the definition of parallelogram:
The opposite sides of a parallelogram are parallel and congruent.The two consecutive angles of parallelogram are supplementary.Opposite angles of parallelogram are congruent.Diagonals of parallelogram bisect each other.Upon looking at our given choices, we can see that options A, B, C and D are correct choices.
What are the solutions of x2=-7x-8
Answer:
x^2 = -7x -8
x^2 +7x +8 = 0
D = 49 -32 = 17
x_1,2 = (-7+/-sqrt17)/2 = (-7-sqrt17)/2 and (-7+sqrt17)/2
Step-by-step explanation:
Answer:
x = [tex]\frac{1}{2}[/tex] (-7±√17)
Step-by-step explanation:
x² = -7x - 8
x² + 7x + 8 = 0
Using the quadratic formula, with a=1, b = 7 and c=8,
you will get x = [tex]\frac{1}{2}[/tex] (-7±√17)
Simplify 2(x + 4) + 7(x – 5) + 3. if anyone could help with this I would really appreciate it.
Answer:
9x-24
Step-by-step explanation:
We first expand the expression, this means that we multiply 2 and (x+4)
and 7 and (x-5). This means our expression will be:
2x+8+7x-35+3
Now we collect like terms:
2x+7x+8-35+3
Which will give us:
9x-24
Lisa dined at a restaurant and gave the waiter a 15% tip if the price of her meal was $10.25 how much did Lisa tip the waiter
Multiply the price of her meal by the percentage of the tip.
15% = 0.15
Tip = 10.25 x 0.15 = 1.54
The tip was $1.54
Answer: $1.54
Step-by-step explanation:
15% of 10.25= 1.54
100 Points! Please answer!?
Answer:
$765.85
Step-by-step explanation:
The furniture store bought it for $425 (the starting price). They mark it up by 70%.
To solve, multiply 425 with 70%, and then add the number you get to the original price:
425 x 0.70 = 297.5
297.5 + 425 = 722.5
Now, multiply the price gotten by 6%:
722.5 x 0.06 = 43.35
Add the tax amount to the total amount:
43.35 + 722.5 = 765.85
$765.85 is the amount paid by Angela.
~
Answer:
765.85
Step-by-step explanation:
To find the new price, find the mark up
mark up = 425 * 70%
425 *.7
297.5
Add this to the original price to find the new price
425 + 297.5
722.50
Now we need to find the tax
722.5 * 6%
722.5 *.06
43.35
Add this to the sale price
722.5 +43.35
765.85
If (17, 4) is an ordered pair of the inverse of F(x), which of the following is an
ordered pair of the function F(x)?
A. (17,4)
B. (4.17)
C. (4,0)
D. 0,17)
Answer:
B
Step-by-step explanation:
Given a point (x, y) on f(x) then the corresponding point on the inverse is (y, x)
Given (17, 4 ) is a point on the inverse then the corresponding point on f(x) is
(4, 17 ) → B
Is 4.00 equivalent to the number 4?
Answer:
Yes, it's the same number.
Answer: Of course, it's just that mathematician geniuses added a point and two zeros after it.
1.) Is f(x)=2x^3 + 2x and odd function
2.) is -5x^3 - 4 and even function ?
3.) 4x-4 an even even function ?
Answer:
yes, no, no
Step-by-step explanation:
For odd functions : −f(x) = f(−x) for all x
For even functions :f(x) = f(−x) for all x
1) -f(x)= -2x^3 -2x
f(-x) = -2x^3-2x
yes
2 ) f(-x) = 5x^3 -4 ≠ f(x)
no
3 ) f(-x) = -4x -4 ≠ f(x)
no
1) [tex]f(-x) = -2x^3-2x[/tex]
The function [tex]f(x)=2x^3 + 2x[/tex] is odd function.
2 ) [tex]f(-x) = 5x^3 -4[/tex] ≠ f(x)
The function [tex]f(x) = -5x^3 - 4[/tex] is not even function.
3 ) f(-x) = -4x - 4 ≠ f(x)
The function f(x) = 4x - 4 is not an even even function.
What are an odd function and an even function?If we obtain an expression that exists equivalent to f(x), we have an even function; if we obtain an expression that stands equivalent to -f(x), we contain an odd function; and if neither occurs, it is neither!
For odd functions :
−f(x) = f(−x) for all x
For even functions :
f(x) = f(−x) for all x
1) [tex]f(-x) = -2x^3-2x[/tex]
Therefore, the function [tex]f(x)=2x^3 + 2x[/tex] is odd function.
2 ) [tex]f(-x) = 5x^3 -4[/tex] ≠ f(x)
Therefore, the function [tex]f(x) = -5x^3 - 4[/tex] is not even function.
3 ) f(-x) = -4x - 4 ≠ f(x)
Therefore, the function f(x) = 4x - 4 is not an even even function.
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Which statements about the composite figure are true? Check all that apply. The composite figure consists of two rectangular pyramids. The composite figure can be broken down into rectangular prisms. The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5). The total volume is 45 units3. The total volume is 90 units3.
Answer:
1 & 4
Step-by-step explanation:
Answer:
Answer 1 & 4 IS CORRECT
Step-by-step explanation:
1. The composite figure consists of two rectangular pyramids.
4. The total volume is 45 units3.
Which graphs show a proportional relationship?
Graph 1
Graph 2
Answer:
neither one
Step-by-step explanation:
Solve the variable of x+9=37
Also, n-5=9
x + 9 = 37
To solve for x bring 9 to the right side by subtracting 9 to both sides (what you do on one side you must do to the other). Since 9 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
x + 9 - 9 = 37 - 9
x + 0 = 28
x = 28
Check:
28 + 9 = 37
37 = 37
n - 5 = 9
To solve for n you must add 5 to both sides (what you do on one side you must do to the other). Since 5 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.
n - 5 + 5 = 9 + 5
n + 0 = 14
n = 14
Check:
14 - 5 = 9
9 = 9
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x=28
n=14
Step-by-step explanation:
x+9=37
Subtract 9 from each side
x+9-9 = 37-9
x = 28
n-5=9
Add 5 to each side
n-5+5 =9+5
n = 14
negative 55 plus neagtive 7 times 6 subtract negative 3 times 4
Answer:
25.
Step-by-step explanation:
-55 + -7 x 6 - -3 x 4
Answer: -55 + -7 x - 3 x 4 =1,404
Solve the inequality 4x-12<16+8x?
Answer:
[tex]\large\boxed{x>-7\to\{x\ |\ x>-7\}}[/tex]
Step-by-step explanation:
[tex]4x-12<16+8x\qquad\text{add 12 to both sides}\\\\4x-12+12<16+12+8x\\\\4x<28+8x\qquad\text{subtract 8x from both sides}\\\\4x-8x<28+8x-8x\\\\-4x<28\qquad\text{change the signs}\\\\4x>-28\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}>-\dfrac{28}{4}\\\\x>-7[/tex]
Which of the following relations represents a function?
{(4,2), (4,3), (4, 5), (4,7)}
{(-2, 1), (0,5), (1, -3), (-2, 0)}
{(-1, 3) (-2, 3) (-1, 5) (-2,5)}
{(-3, 1), (1, 4), (-2, 1), (0, 3)}
Answer:
{(-3, 1), (1, 4), (-2, 1), (0, 3)}
Step-by-step explanation:
If a set of ordered pairs represents a function, then there must not be any first coordinate that repeats itself more than once in any of the ordered pairs.
In other words, no x-coordinate should correspond to more than one y-coordinate.
From the given options, the only set of ordered pairs that satisfies the conditions of a function is;
{(-3, 1), (1, 4), (-2, 1), (0, 3)}
The correct answer is the last option.
A month ago, Kerry weighed 123 1/4 pounds. Now he weighs 120 1/2 pounds. How many pounds did he lose?
For this case we have to:
Initial weight = [tex]123 \frac {1} {4} = \frac {4 * 123 + 1} {4} = \frac {493} {4} = 123.25 \ pounds[/tex]
Final weight =[tex]120 \frac {1} {2} = \frac {2 * 120 + 1} {2} = \frac {241} {2} = 120.5 \ pounds[/tex]
We subtract to know how many pounds he lost:
[tex]123.25-120.5 = 2.75[/tex]
So, Kerry lost 2.75 pounds.
ANswer:
Kerry lost [tex]2 \frac {3} {4}[/tex] pounds.
Answer:[tex]2.75\ pounds[/tex] or [tex]2\frac{3}{4}\ pounds[/tex]
Step-by-step explanation:
You can convert the mixed numbers to decimal numbers. Divide the numerator by the denominator of the fraction and add it to the whole number part:
[tex]123\ \frac{1}{4}\ pounds=(123+0.25)\ pounds=123.25\ pounds[/tex]
[tex]120\ \frac{1}{2}\ pounds=(120+0.5)\ pounds=120.5\ pounds[/tex]
To calculate how many pounds Kerry lost, you need to subtract his weigth of a month ago and his actual weigth.
Therefore, you get that he lost:
[tex]pounds\ lost=123.25\ pounds-120.5\ pounds[/tex]
[tex]pounds\ lost=2.75\ pounds[/tex] or [tex]2\frac{3}{4}\ pounds[/tex]
Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch. How many liters of orange juice did Fabian use to make the punch?
A. 9 L
B. 11 L
C. 13 L
D. 15 L
Answer:
Option B
Amount of orange juice did Fabian use to make the punch is 11 liter.
Step-by-step explanation:
Given : Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch.
To find : How many liters of orange juice did Fabian use to make the punch?
Solution :
Let x be the amount of orange juice.
There are 4 cans of pineapple juice.
Each can of pineapple juice holds 2 liters.
So, 4 cans can hold [tex]4\times 2=8[/tex] liter of pineapple juice.
Together they make x+8 liter.
He makes a total of 19 liters of punch.
i.e. [tex]x+8=19[/tex]
[tex]x=19-8[/tex]
[tex]x=11[/tex]
Therefore, Amount of orange juice did Fabian use to make the punch is 11 liter.
So, Option B is correct.
Each angle measure of a regular polygon is 60°. What is the polygon?
Answer:
Triangle
Step-by-step explanation:
A regular polygon of n sides has interior angles of:
a = 180 (n-2) / n
Given a = 60:
60 = 180 (n-2) / n
n = 3 (n-2)
n = 3n - 6
6 = 2n
n = 3
The polygon has three sides, so it's a triangle.
A regular polygon with each angle measuring 60° is an equilateral triangle.
A regular polygon is a polygon with all sides and angles equal. To find the type of polygon where each angle measures 60°, we use the formula for the measure of each interior angle of a regular polygon, which is (n-2) x 180° / n, where n is the number of sides.
Let's solve for n:
Set the angle measure formula to 60°: (n-2) x 180° / n = 60°
Multiply both sides by n to clear the fraction: (n-2) x 180° = 60n
Distribute 180°: 180n - 360° = 60n
Move the terms involving n to one side: 180n - 60n = 360°
Simplify: 120n = 360°
Divide both sides by 120: n = 3
Therefore, a regular polygon with each angle measuring 60° is an equilateral triangle.
Write a function for reflection of point x,y across the y axis
Answer:
Reflection of point 0(x, y) about y-axis = (-x, y)
Step-by-step explanation:
Following are the rules for a counter clockwise rotation of 90 degrees about the origin for a point O(x,y):
1. Invert the sign of the value of x.
2. The value of y-coordinate remains the same.
For example, a point M(h,k) after reflection gives a point M'(-h,k) using the rules given above. The points on the x-y plane are shown in the image attached.
What is the length of side BC
Answer: 16.8
Step-by-step explanation:
Find BC:
[tex]tan\theta=\dfrac{opposite}{adjacent}\\\\\\tan(40^o)=\dfrac{BC}{20}\\\\\\20\ tan(40^o)=BC\\\\\\16.78=BC[/tex]
Help!
Which of these is the best deal? [Note: there are two pints in a quart, and four quarts in a gallon]
Question 6 options:
A)
one quart of milk for $1
B)
1 gallon of milk for $2
C)
two quarts of milk for $1.50
D)
One pint of milk for 50 cents
The best deal is Option B, one gallon of milk for $2, after comparing the cost per gallon of each option using the conversion factors for pints, quarts, and gallons.
Explanation:To determine which option is the best deal, we need to compare the price per gallon of milk for each option. We have been given that there are two pints in a quart, and four quarts in a gallon. Using this information, let's compare:
Option A: One quart of milk for $1. Since one quart is one fourth of a gallon, the cost per gallon would be 4 times $1, which is $4 per gallon.Option B: One gallon of milk for $2. This is already in gallons, so the cost per gallon is $2.Option C: Two quarts of milk for $1.50. Two quarts make up half a gallon, so to find the cost per gallon, we double $1.50, which results in $3 per gallon.Option D: One pint of milk for 50 cents. Since there are 8 pints in a gallon, the cost per gallon would be 8 times 50 cents, or $4 per gallon.Comparatively, Option B provides the lowest cost per gallon of milk, making it the best deal.
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.
Answer: B. 2764 + x ≥ 5000
Step-by-step explanation: edge
The GCF of 18 and 72 is?
Answer:
The Greast Common Factor of 18 and 72 is 18
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Answer:
GCF of 18 and 72 is 18
Step-by-step explanation:
To find the GCF of two or more numbers
we need two steps
Step 1: List the prime factors of each number.
Step 2: Multiply those factors all numbers have in common. If there are no common prime factors, the GCF is 1.
To find the GCF of 18 and 72
18 = 2 * 3* 3
72 = 2 * 2 * 2 * 3 * 3
Common prime factors 2, 3, 3
Therefore GCF = 2* 3 * 3 = 18
which money saving option represents ownership
Answer: stocks
^^^^^^^^^^^^^^^^
Please help as soon as possible
Answer:
I believe it takes : 3 jumps of 1/5 to reach 15.
Step-by-step explanation:
Hope my answer has helped you!
Find the measure of angle eight in each triangle round each answer to the nearest 10th
Answer:
# m∠A = 65.3°
# m∠A = 25.8°
# m∠A = 22.7°
Step-by-step explanation:
* Lets revise the trigonometry function to solve the problem
- In any right angle triangle:
# The side opposite to the right angle is called the hypotenuse
# The other two sides are called the legs of the right angle
* If the name of the triangle is ABC, where B is the right angle
∴ The hypotenuse is AC
∴ AB and BC are the legs of the right angle
- ∠A and ∠C are two acute angles
- For angle A
# sin(A) = opposite/hypotenuse
∵ The opposite to ∠A is BC
∵ The hypotenuse is AC
∴ sin(A) = BC/AC
# cos(A) = adjacent/hypotenuse
∵ The adjacent to ∠A is AB
∵ The hypotenuse is AC
∴ cos(A) = AB/AC
# tan(A) = opposite/adjacent
∵ The opposite to ∠A is BC
∵ The adjacent to ∠A is AB
∴ tan(A) = BC/AB
* Lets solve the problems
# In Δ ABC
∵ m∠B = 90°
∵ AB = 2.3 ⇒ adjacent to angle A
∵ BC = 5 ⇒ apposite to angle A
- To find m∠A use the tangent function because we have opposite
and adjacent sides
∴ tan A = BC/AB
∴ tan A = 5/2.3 ⇒ use tan^-1 to find m∠A
∴ m∠A = [tex]tan^{-1}\frac{5}{2.3}=65.29756[/tex]
* m∠A = 65.3°
# In Δ ABD
∵ m∠B = 90°
∵ AB = 5.4 ⇒ adjacent to angle A
∵ DA = 6 ⇒ the hypotenuse
- To find m∠A use the cosine function because we have adjacent
and hypotenuse sides
∴ cos A = AB/DA
∴ cos A = 5.4/6 ⇒ use cos^-1 to find m∠A
∴ m∠A = [tex]cos^{-1}\frac{5.4}{6}=25.84193[/tex]
* m∠A = 25.8°
# In Δ ABE
∵ m∠B = 90°
∵ EB = 2.4 ⇒ opposite to angle A
∵ EA = 6.8 ⇒ the hypotenuse
- To find m∠A use the sine function because we have opposite
and hypotenuse sides
∴ sin A = EB/EA
∴ sin A = 2.4/6.8 ⇒ use sin^-1 to find m∠A
∴ m∠A = [tex]sin^{-1}\frac{2.4}{6.8}=22.6673[/tex]
* m∠A = 22.7°