Answer:
3
Step-by-step explanation:
[tex]\frac{rise}{run} =\frac{6}{2}=3[/tex]
Hope this helps!
The slope is [tex]\frac{rise}{run} =\frac{6}{2} =3[/tex]
Thus the slope is 3.
what is the answer to 5 + 7f = 33
Answer:
f=4
Step-by-step explanation:
so, when we do this problem notice that there is a variable this can mean a lot of things but in this case, it just means were solving for f so we first move the constant (5) to the right-hand side and change its sign then we subtract 33 from 5 to get 28 so the equation would look like 7f = 33-5
to get 7f = 28 and now for the last step you divide both sides of the equation to get f = 4
Hope this helped :)
Your round-trip drive to school is 3710
3
7
10
miles. How many miles do you drive to and from school in 5
5
days?
CLEAR
Answer:
you multiply 3 7/10 by 5 and you get 18.5 turned into an improper fraction is 37/2 as a proper fraction it is 18 1/2
Step-by-step explanation:
let me know if I'm wrong
Answer:
11,550
Step-by-step explanation:
3710 × 5 = 11,500.
it costs $16 to attend a festival where bottles of hot sauce cost $5 each. Marquis has $50 to spend. He writes the inequality 16 1 5h # 50, where h is the number of bottles of hot sauce. Which values from the set {5, 6, 7, 8} are solutions of the inequality? What does this mean in the context of the problem?
Answer:
5, 6 are the solutions
step-by-step explanation:
each bottle of hot sauce costs $5 eachit costs $16 to attend a festivaltotal he has = $50Here, the cost of attending the festival is constant, the bottles of hot sauce keeps changing until less amount of money reached.
Inequality:
5h + 16 = 50
5h = 50 - 16
5h = 34
h = 34/5
h = 6.8
So, he can buy max or less than 6 bottles of hot sauce.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction In ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees. What are the possible approximate lengths of b? Use the law of sines to find the answer. 2. 0 units and 4. 6 units 2. 1 units and 8. 7 units 2. 3 units and 7. 8 units 2. 6 units and 6. 6 units.
The length 2.3 and 7.8 units
We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.
What is the formula for low of cosine?The Law of Cosines, which tells us
[tex]a^{2}=b^{2} +c^{2} -2bccosA[/tex]
giving us a quadratic equation for b we can solve. But let's do it with the Law of Sines as asked.
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
We have c,a,A so the Law of Sines gives us sin C
[tex]sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597[/tex]
There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse
[tex]C_{a}=arcsin(0.5597)=34.033^{0}[/tex]
[tex]C_{0}=180-C_{a} =145.96^0[/tex]
Both of these make a valid triangle with A=20°. They give respective B's:
[tex]B_{a}=180-A-C_{a} =125.96^0[/tex]
[tex]B_{0}=180-C_{0} =14.033^0[/tex]
So we get two possibilities for b:
[tex]b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3[/tex]
2.3 units and 7.8 units
Therefore we get the length 2.3 and 7.8 units
To learn more about the low of sine and cosine visit:
https://brainly.com/question/4372174
Answer: 2.3 units and 7.8 units
Let's check it with the Law of Cosines:
There's a shortcut for the quadratic formula when the middle term is 'even.'
Looks good.
x squared minus 8 equals 8
[tex] {x}^{2} - 8 = 8 \\ [/tex]
x^2 - 8 + 8 = 8 + 8
x^2 = 16
x = √16
x = 4
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
[tex] \blue{ {x}^{2} - 8 = 8}[/tex]
[tex] \purple{ {x}^{2} - 8 + 8 = 8 + 8}[/tex]
[tex] \red{ {x}^{2} = 16}[/tex]
[tex] \green{ \sqrt{ {x}^{2} } = \sqrt{16} }[/tex]
[tex] \pink{x = 4}[/tex]
The ratio of males to females is 3:4. How many females are there if there are..
i. 3 males
ii. 6 males
Answer:
i) 4 females
ii) 8 females
Step-by-step explanation:
1. Ratio of males= 3x
3x = 3
Thus, x = 1
If there are 3 males, there will be 4 females
2.Rato of males= 3x
3x = 6
Thus x = 2 [6 divided by 3]
4x = 4 x 2 = 8
If there are 6 males, there would be 8 females.
HELPPP PLEASE I NEED IT BY TODAY!!!!!!!
The graphs below have the same shape. What is the equation of the red
graph
For a graph to move up, we must add the value of how much we want to move up outside the function.
So if the original graph [tex]f(x) = x^2[/tex], thus [tex]g(x) = x^2 + 2[/tex]
Hope that helps!
Using the following information, write the equation in point-slope form. A line passes through the point (-2, 1) and has a slope of -4.
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{y-1=4(x+2)}}[/tex]
[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]
Hi! Hope you are having a nice day!
We are given:
Slope of the lineA point that it passes throughCan we write the equation of the line in Point-Slope Form? Sure!
y-y₁=m(x-x₁)
y-1=-4(x-(-2)
y-1=-4(x+2)
Hope you could understand everything.
#CarryOnLearning
if x=10 what is the value of y in the equation 3x+5y=60
Given :-
x = 103x + 5y = 60[tex] \\ \\ [/tex]
To find :-
value of y[tex] \\ \\ [/tex]
Solution :-
[tex] \\ [/tex]
[tex] \looparrowright \sf3x + 5y = 60[/tex]
Put value of x in the equation!
[tex] \\ [/tex]
[tex] \looparrowright \sf3(10)+ 5y = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf3 \times 10+ 5y = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf30+ 5y = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf5(6 + y) = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf(6 + y) = 60 \div 5[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf6 + y= \dfrac{60}{5} [/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf6 + y=\cancel \dfrac{60}{5} [/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf6 + y= \dfrac{12}{1} [/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf6 + y=12[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf y=12 - 6[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \bf y=6[/tex]
[tex] \\ [/tex]
Verification:-
[tex] \\ [/tex]
[tex] \looparrowright \sf3x + 5y = 60[/tex]
Put value of x and y.
[tex] \\ [/tex]
[tex] \looparrowright \sf3(10)+ 5(6) = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf3 \times 10+ 5(6) = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf30+ 5(6) = 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf30+ 5 \times 6= 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf30+ 30= 60[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \bf60= 60[/tex]
LHS = RHS
HENCE VERIFIED!
Ethan is observing an amusement park ride where the riders go around in a counterclockwise circular motion. The
carts take 2 seconds to complete a full rotation. The center of the ride is 24 feet above the ground as shown in the
diagram, and the cart Ethan is observing is labeled X
A sinusoidal equation can be used to describe the height because the height depends on a periodic motion, and the equation can be written as:
h(t) = 13ft*sin(pi*t) + 24ft
Why a sinusoidal equation can be used?Remember that the sine function has a periodicity, such that:
sin(x + 2pi) = sin(x).
So, for a circle where if you do a complete rotation you end in the initial place, so there can be a relation between the height and a sinusoidal equation.
Notice that the initial position is 24ft above the ground, so we can write this, at the moment, as:
h(x) = Asin(n*t) + 24ft
A is the amplitude, it defines the maximum height and minimum height, both depend on the radius (the maximum height is 24ft plus the radius, the minimum height is 24ft minus the radius) then we write:
h(t) = 13ft*sin(kt) + 24ft
k depends on how much time takes to do a full rotation. We know that the sine function does a "complete cycle" in 2pi, while the wheel does a full rotation in 2 seconds, then we have that:
k*2 = 2pi
k = (2pi)/2s = pi
Then the sinusoidal equation that represents the height is:
h(t) = 13ft*sin(pi*t) + 24ft
If you want to learn more about sinusoidal equations, you can read:
https://brainly.com/question/9478364
Find the unknown length x in the right triangle, to the nearest tenth.
Answer:
11.3
Step-by-step explanation:
The side opposite the given angle is unknown. The hypotenuse is also given. The trig function that relates the angle, opposite side, and hypotenuse is the sine function:
Sin = Opposite/Hypotenuse
sin(39°) = x/18
x = 18·sin(39°) ≈ 11.3
1
Required
What is the volume of the rectangular prism?
1 cm
8 cm
3 cm
24 cubic cm
Show Your Work
12 cubic cm
26 cubic cm
o 22 cubic cm
Answer:
Well you need a picture and we need to know Length Height and width!
ILL GIVE BRAINLEST #20 please, how do I know if it’s similar or not? Is it similar?
Answer:
You can know if the shapes are similar if the are the same type of shape, have proportional side lengths, congruent corresponding angles (the angles are in the same place proportional to the shape and have the same amount of degrees), and equal scale factors.
In number 19, the polygons are similar because they have proportional side lengths and congruent corresponding angles.
Number 20's trapezoid A and B are not similar because the side lengths are not proportional to each other ( 2 is half of 4, 4 is not half of 6)
Hope this helps!
For what value of c does x^2−2x−c=4 have exactly one real solution?
PLEASE HELP!!!!!!!
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
[tex]x^2-2x-(c+4)=0[/tex].
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic [tex]ax^2+bx+d[/tex], the discriminant is [tex]\sqrt{b^2-4ad}[/tex].
(The discriminant is more commonly known as [tex]\sqrt{b^2-4ac}[/tex], but I changed the variable since we already have a [tex]c[/tex] in the quadratic given.)
In the quadratic above, we have [tex]a=1[/tex], [tex]b=-2[/tex], and [tex]d=-(c+4)[/tex]. Plugging this into the formula for the discriminant, we have
[tex]\sqrt{(-2)^2-4(1)(-(c+4))[/tex].
Using the distributive property to expand and simplifying, the expression becomes
[tex]\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.[/tex]
Setting the discriminant equal to 0 gives
[tex]2\sqrt{c+5}=0[/tex].
We can then solve the equation as usual: first, divide by 2 on both sides:
[tex]\sqrt{c+5}=0[/tex].
Squaring both sides gives
[tex]c+5=0[/tex],
and subtracting 5 from both sides, we have
[tex]\boxed{c=-5}.[/tex]
Hi can someone help me to solve this? I would be so appreciated if you willing to help me
Nora and Farhan were asked to simplify (2x²/y)³
Nora wrote this : (2x²/y)³ = 2x⁶/y³
Farhan wrote this : (2x²/y)³ = 8x⁵/y
Both Nora and Farhan obtained the wrong solutions.
(i) Highlight the possible misconceptions that Nora and Farhan might have.
Nora's misconceptions:
Farhan's misconceptions:
(ii) provide the correct solution :
Answer:
HOPE ITS HELPFUL TO yours
Using the information on the left, combine the individual probabilities to compute the probability that Peter will pass the quiz. 0. 001 0. 002 0. 0035 0. 5.
The probability that Peter will pass the quiz is given by the option 3: 0.0035
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
For the considered case, the problem's statement is missing some facts.
They are:
Number of multiple choice questions in test = 10
Peter uses guessing for answering the questions.
To pass the test, Peter needs to get at least 7 correct answers.
Some probabilities on left are:
P(getting exactly 7 correct) = 0.0031 P(getting exactly 8 correct) = 0.000386 P(getting exactly 9 correct) = 2.86 × [tex]10^{-5}[/tex] P(getting exactly 10 correct) = 9.54 × [tex]10^{-7}[/tex]Let X be the number of questions peter gets correct in his test.
Then, the probability that he will pass the test is denoted as:
[tex]P(X \geq 7)[/tex]
This can be rewritten as:
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)\\P(X \geq 7) =0.0031 + 0.000386 + 0.0000286 + 0.000000954 = 0.003515554[/tex]
This is approximately 0.0035
Thus, the probability that Peter will pass the quiz is given by the option 3: 0.0035
Learn more about binomial distribution here:
https://brainly.com/question/13609688
WILL GIVE BRAINLIEST IF CORRECT
Simplify 2s + 4 + (-6s) + 10
-4s + 14
4s + 14
10s
18s
Answer:
−
2
(
2
−
7
)
Step-by-step explanation:
Let's first write out
2s+4+(-6s)+10
now simplify
-4s+14
again
now correct
I rlly need help on this
Answer: 130, sorry if its wrong
Step-by-step explanation:
8 x 5 = 40 --> 40 x 3 1/4 = 130
Paul bought 5 books for $30.85. About how much did each book cost?
Answer:
$6.17
Step-by-step explanation:
Divide 30.85 by 5 to get the price of each book. Each book was $6.17
I hope this helped
Answer:
Step-by-step explanation:30.85/5=6.17
you can round up to $6.20
2. In an arithmetic sequence t, = 1,-1+7. If t = -5 determine the values of l, and tzo. Show the calculations
that lead to your answers.
PLEASE HELP
Answer:
10
Step-by-step explanation:
t+1/2t-1=5/7
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
What is 20% of 45?
Thank you for answering this question.
Answer:
9
Step-by-step explanation:
cuz yes
I drank cows milk divided by 9 and looked at the sky. What does the sky taste like
Answer:
94.151235691823 exactly
Step-by-step explanation:
Answer:
tastes like *inhale* pennies :>
Step-by-step explanation:
lol-
PLEASE HELP ME BY TODAY ((UNIT RATE)) I WILL GIVE BRAINLIEST, WORTH 20 POINTS
Answer:
80
Step-by-step explanation:
48 ÷ 6 = 8 per hour
8 x 10 hours = 80 dogs
Answer: Steve can train 80 dogs.
Step-by-step explanation:
How many dogs he can train divided by how many hours is: 48/6 = 8.
He is able to train 8 dogs per hour. So: 8 x 10 = 80.
how to find the width of a triangle if the area is 24cm² and the base is 6cm
Answer:
8
Step-by-step explanation:
Area = 1/2(Base×Height)
24 = 1/2(6×)
therefore = 8
Hope this helps!!!!!
Part A: Write an equivalent system of equations.
Part B: Justify why the system you wrote is equivalent.
Answer:
2/4, 4/8, 8/16, 16/32
Step-by-step explanation:
2/4
2x2/4x2 = 4/8
4x2/8x2 = 8/16
8x2/16x2 = 16/32
What is the next multiple after 56? And why it’s not used.
Answer:
56, 112, 168, 224, 280, 336, 392, 448, 504, and 560.
Step-by-step explanation:
Diameter=10.5 in . Determine the area of each circle. Use 3.14 or 22/7 for pie . Round to the nearest tenth.
Answer:
86.5 square inches
Step-by-step explanation:
Area of circle: pi*r^2
first find the radius10.5in /2= 5.25in
find the square5.25^2=27.5625
multiply with pi27.5625*3.14=86.54625
rounded 86.5 in
Given △~△
Which statement is true?
Select one:
==
+=+=+
⋅=⋅=⋅
==
Answer:
c
Step-by-step explanation:
it’s equal
What is 68% as a fraction in its simplest form?
Answer:
17/25
Step-by-step explanation:
68/100
divided by 2
34/50
divided by 2
17/25
and 17/25 is as simplified as it's going to get.