Step-by-step explanation:
12/30
find highest common factor; 6
divide both sides by 6
(12/6) (30/6)
2/5
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
The image is above :)
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form,
Answer:
mx+b=y
200x+800=y
Step-by-step explanation:
it starts at 800 which is the y intercept
x is multiplied by 200
and y is the solution
Do not press the file
hopes this helps <3
What's the equation
Given:
The graph of a parabola.
To find:
The equation for the parabola.
Solution:
The vertex form of a parabola is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex.
From the given graph it is clear that the vertex of the parabola is at point (-1,6). So, h=-1 and k=6.
Putting h=-1 and k=6 in (i), we get
[tex]y=a(x-(-1))^2+(6)[/tex]
[tex]y=a(x+1)^2+6[/tex] ...(ii)
The y-intercept of the graph is at point (0,3). Putting x=0 and y=3 in (ii), we get
[tex]3=a(0+1)^2+6[/tex]
[tex]3-6=a[/tex]
[tex]-3=a[/tex]
Putting a=-3 in (ii), we get
[tex]y=-3(x+1)^2+6[/tex]
Therefore, the equation of the parabola is [tex]y=-3(x+1)^2+6[/tex].
can someone help me out in this, ill give brainliest if correct, you can answer by doing it in a paper and taking a picture of it or just find out another way
Answer:
Answering so you can give other person branliest
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
5. Use coordinate notation to describe the
dilation. (Example 3)
Answer:
This is a reduction dilation :)
Step-by-step explanation:
The Parkview middle school football team will be playing in the state championship the cochairs free tickets that he would be distributing to his 52 football players to give to their friends and family if you would like to give each player at least three tickets how many total tickets Must he have
Answer: 156
Step-by-step explanation: 52*3=156 tickets
Nred help, this shape have 9 edges and 6 faces help?
Answer:
Triangular prism
Step-by-step explanation:
A triangular prism has 9 edges, 6 vertices and 5 faces. I don't think there is any other shape which fits 9 edges and 6 faces.
PLEASE ANSWER
The team bus is carrying 15 players. Only
sophomores, juniors, and seniors are on the team bus.
There is one more sophomore than juniors. The
number of seniors is one more than the sum of the
number of juniors and sophomores. How many juniors
are there?
Answer:
there are 3 Juniors, 4 sophomores and 8 seniors
Why am i wrong? Trigonometric Ratios. Real answers only!
Answer:
You may have gotten the opposite and adjacent mixed up.
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:
SOH stands for-
[tex]Sine=\frac{Opposite}{Hypotenuse}[/tex]
CAH stands for-
[tex]Cosine=\frac{Adjacent}{Hypotenuse}[/tex]
TOA stands for-
[tex]Tangent=\frac{Opposite}{Adjacent}[/tex]
We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:
[tex]tan74=\frac{24}{7}[/tex]
So the answer would be [tex]\frac{24}{7}[/tex]
Seeing as how you picked [tex]\frac{7}{24}[/tex] as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used [tex]tangent=\frac{adjacent}{opposite}[/tex] as your trigonometric ratio.
I hope you find my answer and explanation to be helpful. Happy studying.
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
Mr. Kraft bought a case of monster energy drinks. It was on sale for 20% off. He paid $24. What was the original price?
Answer:
$30
Step-by-step explanation:
To find the original price, divide the new price by 0.8
24/0.8
= 30
So, the original price was $30
Answer:
30 dollars
Step-by-step explanation:
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
Help please it will mean a lot to me
Answer: Whole= Part x %/100
Step-by-step explanation:
All of the other equations are algabraecally correct when solving for either part whole or percent but Whole [tex]\neq[/tex] Part x %/100
To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? y=x+ [] Simplify the fraction completely.
Answer:
y=0.5x-3
Step-by-step explanation:
m=(-12+14)/(-18+22)=0.5
y+14=0.5(x+22)
y=0.5x-3
Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).
546 ft2
39 ft2
10 ft2
578 ft2
Can someone help me, what do I put in the 4 boxes below?
Answer:
so simple pls follow up..
Inbox me
Which measurements are less than 5 yards?
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
At a garage sale, the most expensive item was marked $24.00 more than the cheapest item. The sum of the two items was $27.50. Find the cost of the least expensive item.
Answer:
$3.50
Step-by-step explanation:
27,50-24.00=3.50
The number of carbon atoms in a fossil is given by the function, = 5,100(0.95),wherexrepresentsthenumberofyearssincebeing discovered.
Answer:
Percent of change each year = 5%
Step-by-step explanation:
P.S - The exact question is -
Given - The number of carbon atoms in a fossil is given by the function,
y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since
being discovered.
To find - What is the percent of change each year? Explain how you arrived
at your answer
Proof -
Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]
Initially, the number of fossils be
y(0) = [tex]5100(0.95)^{0}[/tex] = 5100
After 1 year, The number of fossils be
y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845
Now,
Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255
Now,
Percent of chance = [tex]\frac{255}{5100}[/tex] × 100%
= 0.05 × 100%
= 5%
⇒Percent of chance = 5%
∴ we get
Percent of change each year = 5%
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
Alyssa fills her sports bottle with 1.3 liters of water. She drinks 500 milliliters of the water. How much is left in Alyssa's sports bottle?
Answer:
5999
Step-by-step explanation:
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
Please help thank you so mcuh
Answer:
7.0
Step-by-step explanation:
Right angled triangle. To find the hypotenuse, use Pythagorean theorem.
Hypotenuse² = base² + altitude²
= 6.5² + 2.7²
= 42.25 + 7.29
= 49.54
hypotenuse = √49.54 = 7.04 = 7
Step-by-step explanation:
by using Pythagoras law
h²=p²+b²
missing angle =h let
h²=(2.7)²+(6.5)²
h=√(49.50)=7.03=7
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
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Simplify the question
Answer:
15x^2+3x-2
Step-by-step explanation: Just like regular math but with negatives!