Answer:
No, the given set of pairs does not represent a function
Step-by-step explanation:
For a set of values to be a function, each input must have one and only one output value
Now, for the given set, we can note that:
The input -13 has two output values; 4 and 9
Therefore, this set is not a function
Hope this helps :)
percent change from 5000 to 6400?
Answer:
28 percent
Step-by-step explanation:
Hope this helps!
5000 is the old value and 6400 is the new value. In this case we have a positive change (increase) of 28 percent because the new value is greater than the old value.
differentiate x+sinx/x+cosx with respect to x
Step-by-step explanation:
content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp
Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and reciprocal identities
How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.
#3
Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.
cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]
#4
Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.
csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]
The pythagorean identities are
sin^2 + cos^2 = 1,
1 + cot^2 = csc^2,
tan^2 + 1 = sec^2.
#5
Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.
sin^2 + (-3/4)^2 = 1
sin^2 + 9/16 = 1
sin^2 = 7/16
sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]
Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.
tan^2 + 1 = (-4/3)^2
tan^2 + 1 = 16/9
tan^2 = 7/9
tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]
#6
Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.
1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]
1 + cot^2 = 6/4
cot^2 = 2/4
cot = [tex]\frac{\sqrt{2}}{2}[/tex]
tan = [tex]\sqrt{2}[/tex]
Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.
[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2
4/2 + 1 = sec^2
2 + 1 = sec^2
sec^2 = 3
sec = -[tex]\sqrt{3}[/tex]
cos = [tex]\frac{-\sqrt{3}}{3}[/tex]
Hope this helps!! :)
Answer:
sin(θ)=√7/4
tan(θ)= - √7/3
Step-by-step explanation:
c^2= √(4^2-(-3^2))
c^2= √(16-9)
c^2= √7
sin(θ)= opp/hyp=√7/4
tan(θ)= (opp )/adj= - √7/3
an equation is shown below:
5 ( 2x - 8 ) + 15 = -15
write the steps you'll use to solve the equation and explain each step.
Answer: x = 1
Step-by-step explanation:
5 ( 2x - 8 ) + 15 = -15 (write the equation)
5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)
2x - 8 = -6 (divide by 5 on both sides)
2x = 2 (add 8 to both sides)
x = 1 (divide by 2 on both sides)
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Skills needed: One-Variable Equations, Solving Equations
1) The first thing is to use P.E.M.D.A.S
There are no Parentheses, or Exponents, so we go to multiplication
The quantity we multiply is: [tex]5(2x-8)[/tex]
Using distributive property (which is [tex]a(b+c) = ab+ac[/tex]), you get:
[tex]5(2x-8) = 5(2x) - 5(8) = 10x - 40[/tex]
2) Now, we substitute back in and combine like terms:
[tex]10x-40+15=-15[/tex]
Combine the -40 and 15 ([tex]-40+15=-25[/tex])
Then, you will get: ([tex]10x-25=-15[/tex])
3) Add 25 to both sides, to isolate the variable:
[tex]10x = -15+25[/tex], and then -15+25 is 10, so
[tex]10x = 10[/tex]
4) Divide by 10 on both sides, and get [tex]x = 1[/tex]
Hope this helps and have a nice day!! :) :]
Find the value of x.
Answer:
im 95% sure the answer is 6
Step-by-step explanation:
when i wrote it down it just never came out to one of thoes answers, but 6 was the closest
Draw a flow diagram to indicate the different phases in reproduction.
Answer:
ovulation fertilization cell division implantation conception delivery
2 questions! area of plane and composite figures
Last year, the Humane Society found 96 homes for its stray kittens.
If each home adopted 3 kittens, how many kittens found homes
last year? write the operation and the answer
If the high tide was 18 feet and the low tide was 3 feet, what is the tidal range?
Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.
Hope this helps :)
Elizabeth invests $7567 in a savings account with a fixed annual interest rate of 5% compounded quarterly. What will the account balance be after 7 years?
Answer:
FV= $10,714.81
Step-by-step explanation:
Giving the following information:
Initial investment= $7,567
Number of periods= 7*4 = 28 quarters
Interest rate= 0.05/4= 0.0125
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 7,567*(1.0125^28)
FV= $10,714.81
I need help fast!!!!!
Answer:
4Pi
Step-by-step explanation:
circumference = 2(16)(π) = 32π
45°/360°(32π) = 4π or 4 Pi
how to do graphs of quadratic functions
Answer:
The Graph of a Quadratic Function
A quadratic function is a polynomial function of degree 2 which can be written in the general form.
Step-by-step explanation:
Example: Graph: f(x)=−x2−2x+3.
Solution:
Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).
f(x)f(0)===−x2−2x+3−(0)2−2(0)+33
The y-intercept is (0,3).
Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.
f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01
Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).
Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.
x====−b2a−(−2)2(−1)2−2−1
Substitute −1 into the original function to find the corresponding y-value.
f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34
The vertex is (−1,4).
Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.
x −2 y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)
Our fifth point is (−2,3).
Step 5: Plot the points and sketch the graph. To recap, the points that we have found are
y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)
Answer:
There is a two-digit number x. 47 divided by x gives a remainder of 5, 91
divided by x gives a remainder of 7 and 132 divided by x gives a remainder of 6.
Find x.
Answer:
x = 21 or x = 42Step-by-step explanation:
Given
47 = mx + 5 ⇒ mx = 4291 = nx + 7 ⇒ nx = 84132 = kx + 6 ⇒ kx = 126As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:
42 = 1*42 = 2*2184 = 2*42 = 4*21126 = 3*42 = 6*21We have two possible solutions:
21 and 42Proof:
47/21 = 2 rem 5, 47/42 = 1 rem 591/21 = 4 rem 7, 91/42 = 2 rem 7132/21 = 6 rem 6, 132/42 = 3 rem 6please help!!! asap!!!!
Answer:
x=−3
Step-by-step explanation:
I need help PLEASE . Number four, what’s the answer and please explain
A sector of a circle of diameter 11 cm is formed from an angle of size 51. Find the length of the arc rounded to two decimal places
Answer:
4.90m
Step-by-step explanation:
A sector of a circle of diameter 11 cm is formed from an angle of size 51. Find the length of the arc rounded to two decimal places
Length of an arc = 2πr(θ/360)
(θ) = 51°
r = Diameter/2 = 11/2
= 5.5
Length of an arc = 2 × π × 5.5(51/360)
= 4.89565m
Approximately = 4.90m
Over which interval does f(x) have a negative average rate of change?
A.[3,8]
B.[-9,-3]
C.[3,5]
D.[-9,-8]
Answer:
It is A
From the x-value of 3 to the x-value of 8, the y-value goes down from 3 to -6
Uh...I have no clue. Sorry. :(
where the area of the base is 6.8\text{ m}^26.8 m 2 and the height of the pyramid is 8.6\text{ m}8.6 m. Round your answer to the nearest tenth of a cubic meter.
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
The Volume of pyramid is 19.5 [tex]m^{3}[/tex].
What is pyramid?A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apx. Each base edge and apx form a triangle, called a lateral face.
What is volume of pyramid?The volume of a pyramid refers to the space enclosed between its faces.
Volume of pyramid = (1/3) (Base area * height of pyramid )
According to the question
Area of the base = 6.8 [tex]m^{2}[/tex]
Height of the pyramid = 8.6 m
now,
using the formula of Volume of pyramid
Volume of pyramid = (1/3) (Base area * height of pyramid )
substituting the values
Volume of pyramid = (1/3) ( 6.8 * 8.6 )
= 19.49 [tex]m^{3}[/tex]
Rounding off to nearest tenth of a cubic meter
Volume of pyramid = 19.5 [tex]m^{3}[/tex]
Hence, the Volume of pyramid is 19.5 [tex]m^{3}[/tex]
To know more about pyramid here:
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Tyler bought shoes for $72. The next week he noticed that the price went
up to $87. What was the percent increase (percent change)? Round your
answer to the nearest whole percent. *
Answer:
Percent increase is 21%
Step-by-step explanation:
Initial cost of shoes = $72
New price of shoes = $87
Increase in price of shoes = New price of shoes - Initial cost of shoes
= [tex]87-72[/tex]
= $15
Percentage increase in price of shoes = ( Increase in price of shoes ÷ Initial cost of shoes) × 100
= [tex]\frac{15}{72}(100)=20.8\%[/tex]
≈ 21%
So, percent increase is 21%
can someone help me solve this please
Answer:
The answer is C.
Step-by-step explanation:
Solve by drawing the rectangular fraction model. 1/2 + 1/5
Answer: 1/2 + 1/5 = 1/7 I don't know how to show you the rectangle but I hope this helps
After solving the equation the value obtained from this will be equal to 7/10.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is vital for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information in the question,
1/2 + 1/5
Take the LCM of denumerator and then add accordingly,
= 7/10
To know more about arithmetic operations:
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the ratio of the measures of the angles in a triangle is 6:4:2, find each angle.
Answer:
let ratio 6:4:2 be 6x,4x and 2x
we have
6x+4x+2x=180 sum of interior angle of the triangle is 180
12x=180
x=180/12=15
Step-by-step explanation:
missing Angle are
6x=6×15=90°
4x=4×15=60°
2x=2×15=39°
Elanor is driving below the speed limit on a high way is 55 write the inequality to show how much faster elanor can drive without going over the speed limit
Answer:
S + 43.5<=55
11.5mph
Step-by-step explanation:
S = S=SPEED
A. S + 43.5 <= 55
B. S + 43.5 <= 55
43.5-43.5= S<= 55
55-43.5= 11.5
= S + 43.5<=55
Speed of 11.5mph
A swimming pool is the shape of a rectangular prisam. If pool is 12 3/4 yards wide and 9 yards deep what is the volume of the swimming pool
Complete question :
A swimming pool is the shape of a right rectangular prism. If the pool is 12 3/4 yards long, 5 2/3 yards wide, and 9 yards deep, what is the volume of the swimming pool
Answer:
650 1/4 yd³
Step-by-step explanation:
Volume of a rectangle prism :
V = Length * width * height
V = 12 3/4 * 5 2/3 * 9
V = 51/4 * 17/3 * 9/1
V = (51*17*9) / (4*3*1)
V = 7803 / 12
V = 650 3/12
Volume of swimming pool = 650 1/4 yd³
The following dot plot Represents student scores on both the Unit 1 and Unit 2 math test. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests
has more variation than the other or is the variation about the same for both tests? Use complete sentences in your
answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your
answer and explain your reasoning.
I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that
Randy rented a rectangular storage shed with the volume of 357 ft does it sheds height is 8 and 1/2 ft and the width of is 6 ft what is the length of the shed
Answer:
7 feets
Step-by-step explanation:
Volume of shed, V = 357 feet³
Height of shed, H= 8 1/2 fts
Width of shed, W = 6 ft
Using the relation :
Volume = Length * width * height
357 = L * 6 ft * 17/2 feets
357 feets³ = L * 51 feets²
L = 357 feets³ / 51 feets²
Length, L = 7 feets
The computer lab at school has $110 to spend on blank compact disks for their CD ROMS. If 2 packages of disks cost $10 how many packages can the computer lab buy?
Answer:
22
Step-by-step explanation:
10/2 $5 per pack
110/5= 22 packs
Help i really don’t get it and I need it for my test help me please and thank you
Answer:
y=30x
Step-by-step explanation:
y=money/hours
y=30/1
y=30
If I have 7/10 and 645/1000 how many would I need to get to 10/10 and 1000/1000
Answer:
3/10 and 355/1000
Step-by-step explanation:
The price of a 7-minute phone call is $1.05. What is the price of an 11-minute phone call?
The price of an
Answer:
Should be 1.64
Step-by-step explanation: