Answer:
p = 2
q = -1
k = -1
Step-by-step explanation:
Cosine functions always start above or below 0. So, the one that starts at (0, 1) is f(x) = (p)cosx + q. Sine functions always start at 0. So, the one that starts at (0, 0) is g(x) = (k)sinx.
Using the help image attached, we know that:
p and k = amplitude (top to midline)
Negative when cosx/sinx starts at the bottomq = vertical shift (movement of midline)
For f(x) = (p)cosx + q:
p = 2
q = -1
For g(x) = (k)sinx:
k = -1
Hope this helps!
Name the characteristics a shape has to have to be defined as the following:
Quadrilateral
Triangle
Square
For a shape to be defined as a quadrilateral it has to have 4 sides.
For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°
For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.
Answer:
Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.
1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.
2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.
3. Triangle- A triangle should have three sides or vertices and three corners.
Step-by-step explanation:
how to convert 8.1 into a fraction
Answer:
81/10
Step-by-step explanation:
Find an equation for the line that passes throughthe points (1,-1) and (-3,5)
y = -1.5(x) + 0.5
points: (1,-1) and (-3,5)
slope:
⇒ (y2-y1)/(x2-x1)
⇒ (5-(-1))/(-3-1)
⇒ 6/-4
⇒ -1.5
equation:
⇒ y -(-1) = -1.5(x-1)
⇒ y + 1 = -1.5(x) + 1.5
⇒ y = -1.5(x) + 0.5
What number must you add to complete the square?
x^2 - 16x = 23
A. -8
B. -64
C. 64
D. 8
Answer:
D
Step-by-step explanation:
Answer:
D. 8
Step-by-step explanation:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2) ² = (-8)²
Add the term to each side of the equation.
x² - 16x + (-8)² = 23 + (-8)²
Simplify the equation.
Raise -8 to the power of 2.
x² - 16x + 64 = 23 + (-8)²
Simplify 23 - (-8)²
Raise - 8 to the power of 2.
x² - 16x + 64 = 23 + 64
Add 23 and 64
x² - 16x + 64 = 87
Factor the perfect trinomial square into (x-8)²
(x-8)²=87
Solve the equation for x.
Take the square root of each side of the equation to set up the solution for x.
(x-8)²*¹/₂ = ±√87
Remove the perfect root factor x-8 under the radical to solve for x.
x - 8 = ±√87
Remove parentheses.
x - 8 = ±√87
Add 8 to both sides of the equation.
x = ±√87 + 8
The result can be shown in multiple forms.
Exact Form:
x = ±√87 + 8
Decimal Form:
x=17.32737905…,−1.32737905…
True or False: limx➡️0^+ e^-5/x =0
well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.
[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]
as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.
Find α in degrees. Round to the nearest hundredth
Answer:
α = 29°
Step-by-step explanation:
Given values
Opposite side = √15Adjacent side = 7Missing value
αSolving :
tanα = √15/7α = tan⁻¹ (√15/7)α = 28.8107937 α = 29° (closest value)3+3x3+3
Whats the total
21
36
15
Answer:
c. 15
Hope it helpz~
please mark me as brainliest
The Diameter of the medal is 6cm , thickness is 0,035cm determine the radius of the medal
3(1) to the power of 2
Answer:
9
Step-by-step explanation:
Raising a number to the second means multiplying that number. 3 * 3 = 9
Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).
Answer:
The probability for A is 1-0.1 is 90%
P(A)=90%
P(NOT B)=30%
P(A AND B)=0.9+0.7/2=1.6/2=80%
p(a and b) may be a little off.
Answers:
P(A) = 0.9P(not B) = 0.3P(A and B) = 0.63=======================================================
Work Shown:
P(A) = 1 - P(not A)
P(A) = 1 - 0.1
P(A) = 0.9
-------------------
P(not B) = 1 - P(B)
P(not B) = 1 -0.7
P(not B) = 0.3
-------------------
P(A and B) = P(A)*P(B) only when A and B are independent
P(A and B) = 0.9*0.7
P(A and B) = 0.63
PLEASE HELP PLEASE HELP
Answer:
I think line C and L since Jenna's numbers are the same
Freda bought 700 grams of almonds and 500 grams of cashews. How many kilograms of nuts did Freda buy in all?
Answer:
1.2kl
Step-by-step explanation:
1000grams=1kilogram
700+500=1200
so 1.2kilograms
PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
19/12
==========================================================
Explanation:
Use the triangle inequality theorem to set up these three inequalities
AB+BC > ACAB+AC > BCAC+BC > ABIf you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above
x < 11/2x > 3/4x > -3/4We'll ignore the third inequality. It's not very useful because we were already told that x > 0.
The first two inequalities combine to get 3/4 < x < 11/2
This is the range of possible x values so that triangle ABC is possible.
---------------
If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.
The rule is: the largest angle is always opposite the longest side. This applies to triangles only.
Since BC is the longest side, this means BC > AB and BC > AC
---------------
Let's focus on the first inequality
BC > AB
x+7 > x+4
7 > 4
That's true regardless of what we pick for x. So BC is always longer than AB.
---------------
Now onto the second inequality
BC > AC
x+7 > 4x
7 > 4x-x
7 > 3x
3x < 7
x < 7/3
Now recall that we found earlier x > 3/4 or 3/4 < x
Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3
---------------
Notice the middle part of that compound inequality is x and BC = x+7
If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.
3/4 < x < 7/3
3/4+7 < x+7 < 7/3+7
3/4 + 28/4 < x+7 < 7/3 + 21/3
31/4 < x+7 < 28/3
31/4 < BC < 28/3
The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.
---------------
The last step is to compute n-m
n-m = (28/3) - (31/4)
n-m = (112/12) - (93/12)
n-m = (112-93)/12
n-m = 19/12 which points us to choice D.
Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12
EU ons
Question 5 of 25
The lines graphed below are parallel. The slope of the red line is - What is
the slope of the green line?
m-
O A -
B. -3
och
O D. /
Answer:
B. -3
your question isn't clear
Question 20 (20 points) Find the area of the figure, round your answer to one decimal place if ne Area = Unit = A) yd B) yd2 C) yd3 6 yd 6 yd 18 yd
Step-by-step explanation:
a circle with r=6 so the area for the circle is π*r^2
and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle
and the area for that shape equals the area for the circle plus the area for the rectangle
Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?
Find the area of the figure A) 14 cm B) 50 cm C) 60 cm D) 64 cm
Answer:
The answer would be 64 cm.
Step-by-step explanation:
Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day. You have 100.00 to spend that day how many hours can you snowboard?
Answer:
6 Hours
Explanation:
Linear Equation: mx+b=y
x variable: Hour
Hourly Fee: $15(x)
(Initial) Rent Fee: $25
Balance: $100
Equation:
15x+25=100
15x+25-25=100-25 -- Separate the constant terms from the x by subtracting 25 from both sides.
15x=100
15x/15=100/15 -- Isolate the x variable by dividing 15 from both sides.
x=6.6.. -- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15.
x=6 Hours
answer: 6 hours
Step-by-step explanation:
I did this on a paper
whoever anwsers first will get the brainliest (only if you anwser first)!
Answer:
The answer is A. (Pls brainliest!!)
Step-by-step explanation:
Answer:
All of them
Step-by-step explanation:
To find the volume of a rectangular prism the formula is V=whl . So to find the dimensions of the box we would have to take the options that they give us and see which ones equal 80 cubic cm.
2⋅5⋅8=80, so right away we know the answer because 5⋅2=10 and 10⋅8=80
4⋅5⋅4=80, that is another possible answer because 5⋅4=20 and 20⋅4=80
10⋅4⋅2=80, yet another answer that is equivalent to 80 because 10⋅4=40 and 40⋅2= 80
So now we know that all three answers are correct and they would all work as possible dimensions for Max’s box.
Hope this helps!!
Brainliest?
Find the value of x.
[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]
Step-by-step explanation:
or , x + 97° + 42° = 180° ( the sum of interior
angle of triangle is 180° )
or , x + 139° = 180°
or , x = 180° - 139°
x = 41°
Verify experimentally the sum of angle of triangle is 180°
Answer:
Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees
The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x
Answer:
x= 28/5 or 5.6
Step-by-step explanation:
5(x+2)−3(x−6)=7x
5(x+2)−3(x−6)=7x
Simplify both sides of the equation.
5(x+2)−3(x−6)=7x
(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)
5x+10+−3x+18=7x
(5x+−3x)+(10+18)=7x <--(Combine Like Terms)
2x+28=7x
2x+28=7x
Subtract 7x from both sides.
2x+28−7x=7x−7x
−5x+28=0
Subtract 28 from both sides.
−5x+28−28=0−28
−5x=−28
Divide both sides by -5.
[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]
x= 28/5
Answer:
x= 28/5
or
5.6
hope this helps!
Which expression represents y to the 4th power -36 in simplest factored form?
Answer:
(y^2 + 6)(y^2 - 6)
Step-by-step explanation:
First, substite variable x for y^2:
FOR x = y^2:
y^4 - 36
= (y^2)(y^2) - 36
= (x)(x) - 36
= x^2 - 36
Now, use the formula a^2 - b^2 = (a + b)(a - b):
x^2 - 36
= x^2 - 6^2
= (x + 6)(x - 6)
Finally, since the expression is factored for x, not y, substite y^2 in for x:
(x + 6)(x - 6)
= (y^2 + 6)(y^2 - 6)
[tex]= (y^2 + 6)(y^2 - 6)[/tex]
Help picture below problem 18
Answer:
by using pythagoras theorem
[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]
Luke bought a pair of shoes online for $78. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.
GIVING BRAINLIEST
Answer:
$9.36Step-by-step explanation:
Te processing fee was applied to the discounted price.
The discounted price is
78 - 40% = 78*(100 - 40)/100 = 78*0.6 = 46.8Amount of fee is
20% of 46.8 = 0.2*46.8 = 9.36Simplify 13 < z +5
Solve the inequality for z
First of all, subtract 5 from both sides:-
13-5<z+5-5
13-5<z
8<z
Since 8 is less than z, z is greater than 8:-
[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]
Hence, all the numbers greater than 8 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
Let's solve your inequality step-by-step.
13<z+5
Step 1: Flip the equation.
z+5>13
Step 2: Subtract 5 from both sides.
z+5−5>13−5
z>8
Answer:
z>8
Step-by-step explanation:
On Monday, Jullo ran 39 miles. On Tuesday, he ran another
24 miles and on Wednesday he ran 4 miles. How many
miles did Julio run in all?
67 miles
Step-by-step explanation:On Monday, Jullo ran 39 miles.
⇒ Monday = 39 milesOn Tuesday, he ran 24 miles.
⇒ Tuesday = 24 milesOn Wednesday, he ran 4 miles.
⇒ Wednesday = 4 milesFinding the total miles:
Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4
= 67 miles
a
A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 5
kilometers. If two towns are 30 centimeters apart on the map, what is the actual distance between the two
towns?
Answer: 150 kilometers
Step-by-step explanation:
if it's 30 units of 5 kilometers then you multiply it
5x30=150
What's the height of a triangle if we know the base is 20 m and the area is 100 m2? Question 1 options: 5 m 25 m 15 m 10 m
height = 10m
hope it helps...!!!
Write each expression as a single power of 10.
Answer:
Refer to below!
Step-by-step explanation (a):
[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]
[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]
Step-by-step explanation (b):
[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow{10^{9} }[/tex]
Step-by-step explanation (c):
[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{2} }[/tex]
Step-by-step explanation (d):
[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]
[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]
[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{5} }[/tex]
Step-by-step explanation (e):
[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]
[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]
[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]
[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow {10^{4}[/tex]