Answer:
1. 23.84
a. Let x = Each mile
5 + 1.57x
b. Let Y = graph position
y = 5 + 1.57x
c. 23.84
2. 27 Miles
Step-by-step explanation:
7 7/15 Write in decimal to the nearest hundredths 7 7 over 15
Answer:
.47 because 7/15 is 0.466
Step-by-step explanation:
Help please I’ll give BRAINLIEST
Answer:
first one is M=0 and second one is undefined
write an expression in factored form for the polynomial of least possible degree graphed below.
i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!
Answer:
- 1/64 (x+4)² (x-3) (x-4) = 0
Step-by-step explanation:
f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis
x=0 f(x) = -3
a (4)² * (-3) * (-4) = -3
a = - 1/64
- 1/64 (x+4)² (x-3) (x-4) = 0
HELPP! I will give brainliest
Match the following items.
Determine the functions if θ is a first-quadrant angle, and sin = .
1. cosθ √(15)/5
2. tanθ √(10)/2
3. cscθ √(15)/3
4. secθ √6/3
5. cotθ √6/2
The functions are illustrations of trigonometry ratios
[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]
The sine of an angle is calculated as follows
[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]
So, we have:
[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]
Take LCM
[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]
[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]
[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]
The tangent of an angle is:
[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]
Using Pythagoras theorem, we have:
[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]
So, we have:
[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]
[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]
[tex]\mathbf{Hypotenuse^2 = 14}[/tex]
Take square roots
[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]
So, the sine of the angle is:
[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]
Rationalize
[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]
[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]
The sine of the angles is:
[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]
So, we have:
[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]
[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]
Rationalize
[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]
[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]
[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]
The sine of an angle is calculated as follows
[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]
So, we have:
[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]
The sine of the angle does not have a real value
[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]
Start by calculating the tangent of the angle
[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]
So, we have:
[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]
[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]
Rationalize
[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]
[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]
The tangent of an angle is:
[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]
Using Pythagoras theorem, we have:
[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]
So, we have:
[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]
[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]
[tex]\mathbf{Hypotenuse^2 = 15}[/tex]
Take square roots
[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]
So, the sine of the angle is:
[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]
Rationalize
[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]
Rewrite as:
[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]
Read more about trigonometry ratios at:
https://brainly.com/question/24888715
what is a Scalene triangle?
Answer:
A triangle that has no equal sides is a scalene triangle.
I need help please hurry<343
Answer:
42 inches
Step-by-step explanation:
1. To convert feet into inches, multiply the # of feet by 12.
[tex]3\frac{1}{2}*12[/tex] [tex]\frac{7}{2} *12[/tex] [tex]\frac{84}{2}[/tex] [tex]42[/tex]Therefore, 3 1/2 feet in inches is 42 inches.
Answer:
42 inches
Step-by-step explanation:
3.5 feet x 12 inches = 42 inches
find the length of x rounded to nearest hundredth please!!
Answer:
4.00 pls give brainliest
Step-by-step explanation:
Hello turkshcutie11!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the value of x.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.
__________________
Given sides :-
5 units (base)3 units (altitude)x units (hypotenuse)__________________
Using pythagoras property...
Hypotenuse ² = Base² + Altitude ²
x² = 5² + 3²
x² = 25 + 9
x² = 34
x = √34
x = 5.83 units (1st option).
__________________
Hope it'll help you!
ℓu¢αzz ッ
GUYS IS THIS CORRECT? CLASS 6 MATHS
Answer:
yes these all are correct
whats nine plus 10 ;)
Answer:
19
Step-by-step explanation:
9+10=19
please mark me brainliest
Answer:
21 ^^
jk jk lol 19 >->
but reality... i believe it's 2356486513
Completely Factor the following equations.
a) 3x^3 + 15x^2 + 18x
the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.
help me pls /ᐠ｡ꞈ｡ᐟ\
Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
Step-by-step explanation:
If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg
What is Force?When a body tends to modify or change the state by an external cause, it is called Force.
Given:
F=ma
Where,
F = Force (N)
m = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
To learn more on force click:
brainly.com/question/25250873
#SPJ2
answer the question no link or bot
Answer:
4^(-14)
Step-by-step explanation:
When multiplying or dividing powers of the same number, you can just add or subtract the powers.
Can someone help me please
Answer:
181.25 square feet
1/6 quart water
1/18 cup milk
1/3 beef bouillon cube, and 2/3 a large carrot
Step-by-step explanation:
Set a timer for 20 seconds. Next, get ready to walk! Start the timer and count the number of steps you take in 20 seconds. Now for some math — using the number of steps you just counted, figure out the following:
The number of steps you took ÷ 20 seconds = _____ steps per second (round this to 2 decimals)
We want to make a five-second animation of a stick figure walking, so…
Five seconds x your # of steps per second = _____ steps
The walk cycle is for each foot taking a step, so two steps equals a walk cycle.
Total steps ÷ 2 = _____ walk cycles in your five-second animation
Answer:
1. 2.5 steps per second
2. 1.25 steps
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
35 : w = 1 : 2
obviously w = 70
Step-by-step explanation:
Hopefully this helps you :)
Have a nice day.
apokibunnyavatar
2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o
Answer:
D. X=-2
Step-by-step explanation:
The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?
What is the probability that a K-cup will have more than .33 ounces?
Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?
K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"
In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces
The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?
Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
Please help me figure this out.
Find cos 30 in terms of cos 0
Answer:
cos(30) = (sqrt(3)/2) * cos(0)
Step-by-step explanation:
cos(0) = 1
cos(30) = sqrt(3)/2
Thus, we can write that:
cos(30) = (sqrt(3)/2) * cos(0)
Use the associative property to simplify the expression 50 + 20 + 37
Answer:
(50+20) +37=70+37=107
OT
The blueprint for Audrey's new room has a
scale that states every inch is actually equal
to 15 inches. If this blueprint shows the length
of her new room to be 3 inches, what will be
the actual length of her new room?
Answer:
I really need points
Good luck with your question tho
-6.4x + 3.5y = 7? what is the slope
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer: 171 attendees
Step-by-step explanation:
I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth. It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.
For this problem, you have to find something called a unit price.
A unit price is the price in dollars per thing.
In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.
Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.
With this information, it is very straightforward to determine the number of attendees for $342. Simply divide $342 by $2 to get 171 attendees.
I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.
What is the advantage of paying your credit card balance in full each month?
You will incur only a small "paid in full" fee on your next credit card statement.
You pay only a small amount of interest.
You have less of your credit limit available, therefore, less temptation to spend.
You avoid paying any interest and fees.
Answer:
Step-by-step explanation:
It's the third one. You avoid paying fees and interest. Smart people keep their credit cards at a zero balance for just that reason. Moral: don't buy what you cannot afford to pay off immediately.
Answer: It's C , "You have less of your credit limit available, therefore, less temptation to spend"
Step-by-step explanation:
help #2 #4 #6 #8 #10 #12
y-3=1/6(x-6)
................
Answer:
answer is y=1x/6 +2. or y= X+ 12/6
Step-by-step explanation:
y-3 = 1/6(x-6)
y-3= 1x/6 -1
y = 1x/6 -1+3
y. = 1x/6 +2. or y= X+ 12/6
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.
m=number of miles
A=$110+$0.50m
B=$80+$0.80m
$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)
$30=$0.30m Divide each side by $0.30
100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.
Pairs of expressions are given. Select the pairs that are equivalent .
Answer:
All the options are correct
The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?
Answer:
18 gallons
Step-by-step explanation:
We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.
2/3 = 4/6
1/2 = 3/6
4/6 - 3/6 = 1/6
1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.
3 * 6 = 18 gallons
Checking my answer:
18 * 2/3 = 6 * 2 = 12
12 - 3 = 9
1/2 of 18 = 9
This means that our answer is correct.
